Identifier
-
Mp00252:
Permutations
—restriction⟶
Permutations
St000625: Permutations ⟶ ℤ
Values
=>
[1,2,3]=>[1,2]=>2
[1,3,2]=>[1,2]=>2
[2,1,3]=>[2,1]=>2
[2,3,1]=>[2,1]=>2
[3,1,2]=>[1,2]=>2
[3,2,1]=>[2,1]=>2
[1,2,3,4]=>[1,2,3]=>3
[1,2,4,3]=>[1,2,3]=>3
[1,3,2,4]=>[1,3,2]=>4
[1,3,4,2]=>[1,3,2]=>4
[1,4,2,3]=>[1,2,3]=>3
[1,4,3,2]=>[1,3,2]=>4
[2,1,3,4]=>[2,1,3]=>3
[2,1,4,3]=>[2,1,3]=>3
[2,3,1,4]=>[2,3,1]=>4
[2,3,4,1]=>[2,3,1]=>4
[2,4,1,3]=>[2,1,3]=>3
[2,4,3,1]=>[2,3,1]=>4
[3,1,2,4]=>[3,1,2]=>3
[3,1,4,2]=>[3,1,2]=>3
[3,2,1,4]=>[3,2,1]=>3
[3,2,4,1]=>[3,2,1]=>3
[3,4,1,2]=>[3,1,2]=>3
[3,4,2,1]=>[3,2,1]=>3
[4,1,2,3]=>[1,2,3]=>3
[4,1,3,2]=>[1,3,2]=>4
[4,2,1,3]=>[2,1,3]=>3
[4,2,3,1]=>[2,3,1]=>4
[4,3,1,2]=>[3,1,2]=>3
[4,3,2,1]=>[3,2,1]=>3
[1,2,3,4,5]=>[1,2,3,4]=>4
[1,2,3,5,4]=>[1,2,3,4]=>4
[1,2,4,3,5]=>[1,2,4,3]=>5
[1,2,4,5,3]=>[1,2,4,3]=>5
[1,2,5,3,4]=>[1,2,3,4]=>4
[1,2,5,4,3]=>[1,2,4,3]=>5
[1,3,2,4,5]=>[1,3,2,4]=>5
[1,3,2,5,4]=>[1,3,2,4]=>5
[1,3,4,2,5]=>[1,3,4,2]=>5
[1,3,4,5,2]=>[1,3,4,2]=>5
[1,3,5,2,4]=>[1,3,2,4]=>5
[1,3,5,4,2]=>[1,3,4,2]=>5
[1,4,2,3,5]=>[1,4,2,3]=>5
[1,4,2,5,3]=>[1,4,2,3]=>5
[1,4,3,2,5]=>[1,4,3,2]=>5
[1,4,3,5,2]=>[1,4,3,2]=>5
[1,4,5,2,3]=>[1,4,2,3]=>5
[1,4,5,3,2]=>[1,4,3,2]=>5
[1,5,2,3,4]=>[1,2,3,4]=>4
[1,5,2,4,3]=>[1,2,4,3]=>5
[1,5,3,2,4]=>[1,3,2,4]=>5
[1,5,3,4,2]=>[1,3,4,2]=>5
[1,5,4,2,3]=>[1,4,2,3]=>5
[1,5,4,3,2]=>[1,4,3,2]=>5
[2,1,3,4,5]=>[2,1,3,4]=>4
[2,1,3,5,4]=>[2,1,3,4]=>4
[2,1,4,3,5]=>[2,1,4,3]=>5
[2,1,4,5,3]=>[2,1,4,3]=>5
[2,1,5,3,4]=>[2,1,3,4]=>4
[2,1,5,4,3]=>[2,1,4,3]=>5
[2,3,1,4,5]=>[2,3,1,4]=>5
[2,3,1,5,4]=>[2,3,1,4]=>5
[2,3,4,1,5]=>[2,3,4,1]=>5
[2,3,4,5,1]=>[2,3,4,1]=>5
[2,3,5,1,4]=>[2,3,1,4]=>5
[2,3,5,4,1]=>[2,3,4,1]=>5
[2,4,1,3,5]=>[2,4,1,3]=>5
[2,4,1,5,3]=>[2,4,1,3]=>5
[2,4,3,1,5]=>[2,4,3,1]=>5
[2,4,3,5,1]=>[2,4,3,1]=>5
[2,4,5,1,3]=>[2,4,1,3]=>5
[2,4,5,3,1]=>[2,4,3,1]=>5
[2,5,1,3,4]=>[2,1,3,4]=>4
[2,5,1,4,3]=>[2,1,4,3]=>5
[2,5,3,1,4]=>[2,3,1,4]=>5
[2,5,3,4,1]=>[2,3,4,1]=>5
[2,5,4,1,3]=>[2,4,1,3]=>5
[2,5,4,3,1]=>[2,4,3,1]=>5
[3,1,2,4,5]=>[3,1,2,4]=>4
[3,1,2,5,4]=>[3,1,2,4]=>4
[3,1,4,2,5]=>[3,1,4,2]=>5
[3,1,4,5,2]=>[3,1,4,2]=>5
[3,1,5,2,4]=>[3,1,2,4]=>4
[3,1,5,4,2]=>[3,1,4,2]=>5
[3,2,1,4,5]=>[3,2,1,4]=>4
[3,2,1,5,4]=>[3,2,1,4]=>4
[3,2,4,1,5]=>[3,2,4,1]=>5
[3,2,4,5,1]=>[3,2,4,1]=>5
[3,2,5,1,4]=>[3,2,1,4]=>4
[3,2,5,4,1]=>[3,2,4,1]=>5
[3,4,1,2,5]=>[3,4,1,2]=>5
[3,4,1,5,2]=>[3,4,1,2]=>5
[3,4,2,1,5]=>[3,4,2,1]=>5
[3,4,2,5,1]=>[3,4,2,1]=>5
[3,4,5,1,2]=>[3,4,1,2]=>5
[3,4,5,2,1]=>[3,4,2,1]=>5
[3,5,1,2,4]=>[3,1,2,4]=>4
[3,5,1,4,2]=>[3,1,4,2]=>5
[3,5,2,1,4]=>[3,2,1,4]=>4
[3,5,2,4,1]=>[3,2,4,1]=>5
[3,5,4,1,2]=>[3,4,1,2]=>5
[3,5,4,2,1]=>[3,4,2,1]=>5
[4,1,2,3,5]=>[4,1,2,3]=>4
[4,1,2,5,3]=>[4,1,2,3]=>4
[4,1,3,2,5]=>[4,1,3,2]=>5
[4,1,3,5,2]=>[4,1,3,2]=>5
[4,1,5,2,3]=>[4,1,2,3]=>4
[4,1,5,3,2]=>[4,1,3,2]=>5
[4,2,1,3,5]=>[4,2,1,3]=>4
[4,2,1,5,3]=>[4,2,1,3]=>4
[4,2,3,1,5]=>[4,2,3,1]=>5
[4,2,3,5,1]=>[4,2,3,1]=>5
[4,2,5,1,3]=>[4,2,1,3]=>4
[4,2,5,3,1]=>[4,2,3,1]=>5
[4,3,1,2,5]=>[4,3,1,2]=>4
[4,3,1,5,2]=>[4,3,1,2]=>4
[4,3,2,1,5]=>[4,3,2,1]=>4
[4,3,2,5,1]=>[4,3,2,1]=>4
[4,3,5,1,2]=>[4,3,1,2]=>4
[4,3,5,2,1]=>[4,3,2,1]=>4
[4,5,1,2,3]=>[4,1,2,3]=>4
[4,5,1,3,2]=>[4,1,3,2]=>5
[4,5,2,1,3]=>[4,2,1,3]=>4
[4,5,2,3,1]=>[4,2,3,1]=>5
[4,5,3,1,2]=>[4,3,1,2]=>4
[4,5,3,2,1]=>[4,3,2,1]=>4
[5,1,2,3,4]=>[1,2,3,4]=>4
[5,1,2,4,3]=>[1,2,4,3]=>5
[5,1,3,2,4]=>[1,3,2,4]=>5
[5,1,3,4,2]=>[1,3,4,2]=>5
[5,1,4,2,3]=>[1,4,2,3]=>5
[5,1,4,3,2]=>[1,4,3,2]=>5
[5,2,1,3,4]=>[2,1,3,4]=>4
[5,2,1,4,3]=>[2,1,4,3]=>5
[5,2,3,1,4]=>[2,3,1,4]=>5
[5,2,3,4,1]=>[2,3,4,1]=>5
[5,2,4,1,3]=>[2,4,1,3]=>5
[5,2,4,3,1]=>[2,4,3,1]=>5
[5,3,1,2,4]=>[3,1,2,4]=>4
[5,3,1,4,2]=>[3,1,4,2]=>5
[5,3,2,1,4]=>[3,2,1,4]=>4
[5,3,2,4,1]=>[3,2,4,1]=>5
[5,3,4,1,2]=>[3,4,1,2]=>5
[5,3,4,2,1]=>[3,4,2,1]=>5
[5,4,1,2,3]=>[4,1,2,3]=>4
[5,4,1,3,2]=>[4,1,3,2]=>5
[5,4,2,1,3]=>[4,2,1,3]=>4
[5,4,2,3,1]=>[4,2,3,1]=>5
[5,4,3,1,2]=>[4,3,1,2]=>4
[5,4,3,2,1]=>[4,3,2,1]=>4
[1,2,3,4,5,6]=>[1,2,3,4,5]=>5
[1,2,3,4,6,5]=>[1,2,3,4,5]=>5
[1,2,3,5,4,6]=>[1,2,3,5,4]=>6
[1,2,3,5,6,4]=>[1,2,3,5,4]=>6
[1,2,3,6,4,5]=>[1,2,3,4,5]=>5
[1,2,3,6,5,4]=>[1,2,3,5,4]=>6
[1,2,4,3,5,6]=>[1,2,4,3,5]=>6
[1,2,4,3,6,5]=>[1,2,4,3,5]=>6
[1,2,4,5,3,6]=>[1,2,4,5,3]=>6
[1,2,4,5,6,3]=>[1,2,4,5,3]=>6
[1,2,4,6,3,5]=>[1,2,4,3,5]=>6
[1,2,4,6,5,3]=>[1,2,4,5,3]=>6
[1,2,5,3,4,6]=>[1,2,5,3,4]=>7
[1,2,5,3,6,4]=>[1,2,5,3,4]=>7
[1,2,5,4,3,6]=>[1,2,5,4,3]=>7
[1,2,5,4,6,3]=>[1,2,5,4,3]=>7
[1,2,5,6,3,4]=>[1,2,5,3,4]=>7
[1,2,5,6,4,3]=>[1,2,5,4,3]=>7
[1,2,6,3,4,5]=>[1,2,3,4,5]=>5
[1,2,6,3,5,4]=>[1,2,3,5,4]=>6
[1,2,6,4,3,5]=>[1,2,4,3,5]=>6
[1,2,6,4,5,3]=>[1,2,4,5,3]=>6
[1,2,6,5,3,4]=>[1,2,5,3,4]=>7
[1,2,6,5,4,3]=>[1,2,5,4,3]=>7
[1,3,2,4,5,6]=>[1,3,2,4,5]=>6
[1,3,2,4,6,5]=>[1,3,2,4,5]=>6
[1,3,2,5,4,6]=>[1,3,2,5,4]=>7
[1,3,2,5,6,4]=>[1,3,2,5,4]=>7
[1,3,2,6,4,5]=>[1,3,2,4,5]=>6
[1,3,2,6,5,4]=>[1,3,2,5,4]=>7
[1,3,4,2,5,6]=>[1,3,4,2,5]=>6
[1,3,4,2,6,5]=>[1,3,4,2,5]=>6
[1,3,4,5,2,6]=>[1,3,4,5,2]=>6
[1,3,4,5,6,2]=>[1,3,4,5,2]=>6
[1,3,4,6,2,5]=>[1,3,4,2,5]=>6
[1,3,4,6,5,2]=>[1,3,4,5,2]=>6
[1,3,5,2,4,6]=>[1,3,5,2,4]=>7
[1,3,5,2,6,4]=>[1,3,5,2,4]=>7
[1,3,5,4,2,6]=>[1,3,5,4,2]=>7
[1,3,5,4,6,2]=>[1,3,5,4,2]=>7
[1,3,5,6,2,4]=>[1,3,5,2,4]=>7
[1,3,5,6,4,2]=>[1,3,5,4,2]=>7
[1,3,6,2,4,5]=>[1,3,2,4,5]=>6
[1,3,6,2,5,4]=>[1,3,2,5,4]=>7
[1,3,6,4,2,5]=>[1,3,4,2,5]=>6
[1,3,6,4,5,2]=>[1,3,4,5,2]=>6
[1,3,6,5,2,4]=>[1,3,5,2,4]=>7
[1,3,6,5,4,2]=>[1,3,5,4,2]=>7
[1,4,2,3,5,6]=>[1,4,2,3,5]=>6
[1,4,2,3,6,5]=>[1,4,2,3,5]=>6
[1,4,2,5,3,6]=>[1,4,2,5,3]=>7
[1,4,2,5,6,3]=>[1,4,2,5,3]=>7
[1,4,2,6,3,5]=>[1,4,2,3,5]=>6
[1,4,2,6,5,3]=>[1,4,2,5,3]=>7
[1,4,3,2,5,6]=>[1,4,3,2,5]=>6
[1,4,3,2,6,5]=>[1,4,3,2,5]=>6
[1,4,3,5,2,6]=>[1,4,3,5,2]=>7
[1,4,3,5,6,2]=>[1,4,3,5,2]=>7
[1,4,3,6,2,5]=>[1,4,3,2,5]=>6
[1,4,3,6,5,2]=>[1,4,3,5,2]=>7
[1,4,5,2,3,6]=>[1,4,5,2,3]=>7
[1,4,5,2,6,3]=>[1,4,5,2,3]=>7
[1,4,5,3,2,6]=>[1,4,5,3,2]=>7
[1,4,5,3,6,2]=>[1,4,5,3,2]=>7
[1,4,5,6,2,3]=>[1,4,5,2,3]=>7
[1,4,5,6,3,2]=>[1,4,5,3,2]=>7
[1,4,6,2,3,5]=>[1,4,2,3,5]=>6
[1,4,6,2,5,3]=>[1,4,2,5,3]=>7
[1,4,6,3,2,5]=>[1,4,3,2,5]=>6
[1,4,6,3,5,2]=>[1,4,3,5,2]=>7
[1,4,6,5,2,3]=>[1,4,5,2,3]=>7
[1,4,6,5,3,2]=>[1,4,5,3,2]=>7
[1,5,2,3,4,6]=>[1,5,2,3,4]=>6
[1,5,2,3,6,4]=>[1,5,2,3,4]=>6
[1,5,2,4,3,6]=>[1,5,2,4,3]=>7
[1,5,2,4,6,3]=>[1,5,2,4,3]=>7
[1,5,2,6,3,4]=>[1,5,2,3,4]=>6
[1,5,2,6,4,3]=>[1,5,2,4,3]=>7
[1,5,3,2,4,6]=>[1,5,3,2,4]=>6
[1,5,3,2,6,4]=>[1,5,3,2,4]=>6
[1,5,3,4,2,6]=>[1,5,3,4,2]=>7
[1,5,3,4,6,2]=>[1,5,3,4,2]=>7
[1,5,3,6,2,4]=>[1,5,3,2,4]=>6
[1,5,3,6,4,2]=>[1,5,3,4,2]=>7
[1,5,4,2,3,6]=>[1,5,4,2,3]=>6
[1,5,4,2,6,3]=>[1,5,4,2,3]=>6
[1,5,4,3,2,6]=>[1,5,4,3,2]=>6
[1,5,4,3,6,2]=>[1,5,4,3,2]=>6
[1,5,4,6,2,3]=>[1,5,4,2,3]=>6
[1,5,4,6,3,2]=>[1,5,4,3,2]=>6
[1,5,6,2,3,4]=>[1,5,2,3,4]=>6
[1,5,6,2,4,3]=>[1,5,2,4,3]=>7
[1,5,6,3,2,4]=>[1,5,3,2,4]=>6
[1,5,6,3,4,2]=>[1,5,3,4,2]=>7
[1,5,6,4,2,3]=>[1,5,4,2,3]=>6
[1,5,6,4,3,2]=>[1,5,4,3,2]=>6
[1,6,2,3,4,5]=>[1,2,3,4,5]=>5
[1,6,2,3,5,4]=>[1,2,3,5,4]=>6
[1,6,2,4,3,5]=>[1,2,4,3,5]=>6
[1,6,2,4,5,3]=>[1,2,4,5,3]=>6
[1,6,2,5,3,4]=>[1,2,5,3,4]=>7
[1,6,2,5,4,3]=>[1,2,5,4,3]=>7
[1,6,3,2,4,5]=>[1,3,2,4,5]=>6
[1,6,3,2,5,4]=>[1,3,2,5,4]=>7
[1,6,3,4,2,5]=>[1,3,4,2,5]=>6
[1,6,3,4,5,2]=>[1,3,4,5,2]=>6
[1,6,3,5,2,4]=>[1,3,5,2,4]=>7
[1,6,3,5,4,2]=>[1,3,5,4,2]=>7
[1,6,4,2,3,5]=>[1,4,2,3,5]=>6
[1,6,4,2,5,3]=>[1,4,2,5,3]=>7
[1,6,4,3,2,5]=>[1,4,3,2,5]=>6
[1,6,4,3,5,2]=>[1,4,3,5,2]=>7
[1,6,4,5,2,3]=>[1,4,5,2,3]=>7
[1,6,4,5,3,2]=>[1,4,5,3,2]=>7
[1,6,5,2,3,4]=>[1,5,2,3,4]=>6
[1,6,5,2,4,3]=>[1,5,2,4,3]=>7
[1,6,5,3,2,4]=>[1,5,3,2,4]=>6
[1,6,5,3,4,2]=>[1,5,3,4,2]=>7
[1,6,5,4,2,3]=>[1,5,4,2,3]=>6
[1,6,5,4,3,2]=>[1,5,4,3,2]=>6
[2,1,3,4,5,6]=>[2,1,3,4,5]=>5
[2,1,3,4,6,5]=>[2,1,3,4,5]=>5
[2,1,3,5,4,6]=>[2,1,3,5,4]=>6
[2,1,3,5,6,4]=>[2,1,3,5,4]=>6
[2,1,3,6,4,5]=>[2,1,3,4,5]=>5
[2,1,3,6,5,4]=>[2,1,3,5,4]=>6
[2,1,4,3,5,6]=>[2,1,4,3,5]=>6
[2,1,4,3,6,5]=>[2,1,4,3,5]=>6
[2,1,4,5,3,6]=>[2,1,4,5,3]=>6
[2,1,4,5,6,3]=>[2,1,4,5,3]=>6
[2,1,4,6,3,5]=>[2,1,4,3,5]=>6
[2,1,4,6,5,3]=>[2,1,4,5,3]=>6
[2,1,5,3,4,6]=>[2,1,5,3,4]=>7
[2,1,5,3,6,4]=>[2,1,5,3,4]=>7
[2,1,5,4,3,6]=>[2,1,5,4,3]=>7
[2,1,5,4,6,3]=>[2,1,5,4,3]=>7
[2,1,5,6,3,4]=>[2,1,5,3,4]=>7
[2,1,5,6,4,3]=>[2,1,5,4,3]=>7
[2,1,6,3,4,5]=>[2,1,3,4,5]=>5
[2,1,6,3,5,4]=>[2,1,3,5,4]=>6
[2,1,6,4,3,5]=>[2,1,4,3,5]=>6
[2,1,6,4,5,3]=>[2,1,4,5,3]=>6
[2,1,6,5,3,4]=>[2,1,5,3,4]=>7
[2,1,6,5,4,3]=>[2,1,5,4,3]=>7
[2,3,1,4,5,6]=>[2,3,1,4,5]=>6
[2,3,1,4,6,5]=>[2,3,1,4,5]=>6
[2,3,1,5,4,6]=>[2,3,1,5,4]=>7
[2,3,1,5,6,4]=>[2,3,1,5,4]=>7
[2,3,1,6,4,5]=>[2,3,1,4,5]=>6
[2,3,1,6,5,4]=>[2,3,1,5,4]=>7
[2,3,4,1,5,6]=>[2,3,4,1,5]=>6
[2,3,4,1,6,5]=>[2,3,4,1,5]=>6
[2,3,4,5,1,6]=>[2,3,4,5,1]=>6
[2,3,4,5,6,1]=>[2,3,4,5,1]=>6
[2,3,4,6,1,5]=>[2,3,4,1,5]=>6
[2,3,4,6,5,1]=>[2,3,4,5,1]=>6
[2,3,5,1,4,6]=>[2,3,5,1,4]=>7
[2,3,5,1,6,4]=>[2,3,5,1,4]=>7
[2,3,5,4,1,6]=>[2,3,5,4,1]=>7
[2,3,5,4,6,1]=>[2,3,5,4,1]=>7
[2,3,5,6,1,4]=>[2,3,5,1,4]=>7
[2,3,5,6,4,1]=>[2,3,5,4,1]=>7
[2,3,6,1,4,5]=>[2,3,1,4,5]=>6
[2,3,6,1,5,4]=>[2,3,1,5,4]=>7
[2,3,6,4,1,5]=>[2,3,4,1,5]=>6
[2,3,6,4,5,1]=>[2,3,4,5,1]=>6
[2,3,6,5,1,4]=>[2,3,5,1,4]=>7
[2,3,6,5,4,1]=>[2,3,5,4,1]=>7
[2,4,1,3,5,6]=>[2,4,1,3,5]=>6
[2,4,1,3,6,5]=>[2,4,1,3,5]=>6
[2,4,1,5,3,6]=>[2,4,1,5,3]=>7
[2,4,1,5,6,3]=>[2,4,1,5,3]=>7
[2,4,1,6,3,5]=>[2,4,1,3,5]=>6
[2,4,1,6,5,3]=>[2,4,1,5,3]=>7
[2,4,3,1,5,6]=>[2,4,3,1,5]=>6
[2,4,3,1,6,5]=>[2,4,3,1,5]=>6
[2,4,3,5,1,6]=>[2,4,3,5,1]=>7
[2,4,3,5,6,1]=>[2,4,3,5,1]=>7
[2,4,3,6,1,5]=>[2,4,3,1,5]=>6
[2,4,3,6,5,1]=>[2,4,3,5,1]=>7
[2,4,5,1,3,6]=>[2,4,5,1,3]=>7
[2,4,5,1,6,3]=>[2,4,5,1,3]=>7
[2,4,5,3,1,6]=>[2,4,5,3,1]=>7
[2,4,5,3,6,1]=>[2,4,5,3,1]=>7
[2,4,5,6,1,3]=>[2,4,5,1,3]=>7
[2,4,5,6,3,1]=>[2,4,5,3,1]=>7
[2,4,6,1,3,5]=>[2,4,1,3,5]=>6
[2,4,6,1,5,3]=>[2,4,1,5,3]=>7
[2,4,6,3,1,5]=>[2,4,3,1,5]=>6
[2,4,6,3,5,1]=>[2,4,3,5,1]=>7
[2,4,6,5,1,3]=>[2,4,5,1,3]=>7
[2,4,6,5,3,1]=>[2,4,5,3,1]=>7
[2,5,1,3,4,6]=>[2,5,1,3,4]=>6
[2,5,1,3,6,4]=>[2,5,1,3,4]=>6
[2,5,1,4,3,6]=>[2,5,1,4,3]=>7
[2,5,1,4,6,3]=>[2,5,1,4,3]=>7
[2,5,1,6,3,4]=>[2,5,1,3,4]=>6
[2,5,1,6,4,3]=>[2,5,1,4,3]=>7
[2,5,3,1,4,6]=>[2,5,3,1,4]=>6
[2,5,3,1,6,4]=>[2,5,3,1,4]=>6
[2,5,3,4,1,6]=>[2,5,3,4,1]=>7
[2,5,3,4,6,1]=>[2,5,3,4,1]=>7
[2,5,3,6,1,4]=>[2,5,3,1,4]=>6
[2,5,3,6,4,1]=>[2,5,3,4,1]=>7
[2,5,4,1,3,6]=>[2,5,4,1,3]=>6
[2,5,4,1,6,3]=>[2,5,4,1,3]=>6
[2,5,4,3,1,6]=>[2,5,4,3,1]=>6
[2,5,4,3,6,1]=>[2,5,4,3,1]=>6
[2,5,4,6,1,3]=>[2,5,4,1,3]=>6
[2,5,4,6,3,1]=>[2,5,4,3,1]=>6
[2,5,6,1,3,4]=>[2,5,1,3,4]=>6
[2,5,6,1,4,3]=>[2,5,1,4,3]=>7
[2,5,6,3,1,4]=>[2,5,3,1,4]=>6
[2,5,6,3,4,1]=>[2,5,3,4,1]=>7
[2,5,6,4,1,3]=>[2,5,4,1,3]=>6
[2,5,6,4,3,1]=>[2,5,4,3,1]=>6
[2,6,1,3,4,5]=>[2,1,3,4,5]=>5
[2,6,1,3,5,4]=>[2,1,3,5,4]=>6
[2,6,1,4,3,5]=>[2,1,4,3,5]=>6
[2,6,1,4,5,3]=>[2,1,4,5,3]=>6
[2,6,1,5,3,4]=>[2,1,5,3,4]=>7
[2,6,1,5,4,3]=>[2,1,5,4,3]=>7
[2,6,3,1,4,5]=>[2,3,1,4,5]=>6
[2,6,3,1,5,4]=>[2,3,1,5,4]=>7
[2,6,3,4,1,5]=>[2,3,4,1,5]=>6
[2,6,3,4,5,1]=>[2,3,4,5,1]=>6
[2,6,3,5,1,4]=>[2,3,5,1,4]=>7
[2,6,3,5,4,1]=>[2,3,5,4,1]=>7
[2,6,4,1,3,5]=>[2,4,1,3,5]=>6
[2,6,4,1,5,3]=>[2,4,1,5,3]=>7
[2,6,4,3,1,5]=>[2,4,3,1,5]=>6
[2,6,4,3,5,1]=>[2,4,3,5,1]=>7
[2,6,4,5,1,3]=>[2,4,5,1,3]=>7
[2,6,4,5,3,1]=>[2,4,5,3,1]=>7
[2,6,5,1,3,4]=>[2,5,1,3,4]=>6
[2,6,5,1,4,3]=>[2,5,1,4,3]=>7
[2,6,5,3,1,4]=>[2,5,3,1,4]=>6
[2,6,5,3,4,1]=>[2,5,3,4,1]=>7
[2,6,5,4,1,3]=>[2,5,4,1,3]=>6
[2,6,5,4,3,1]=>[2,5,4,3,1]=>6
[3,1,2,4,5,6]=>[3,1,2,4,5]=>5
[3,1,2,4,6,5]=>[3,1,2,4,5]=>5
[3,1,2,5,4,6]=>[3,1,2,5,4]=>6
[3,1,2,5,6,4]=>[3,1,2,5,4]=>6
[3,1,2,6,4,5]=>[3,1,2,4,5]=>5
[3,1,2,6,5,4]=>[3,1,2,5,4]=>6
[3,1,4,2,5,6]=>[3,1,4,2,5]=>6
[3,1,4,2,6,5]=>[3,1,4,2,5]=>6
[3,1,4,5,2,6]=>[3,1,4,5,2]=>6
[3,1,4,5,6,2]=>[3,1,4,5,2]=>6
[3,1,4,6,2,5]=>[3,1,4,2,5]=>6
[3,1,4,6,5,2]=>[3,1,4,5,2]=>6
[3,1,5,2,4,6]=>[3,1,5,2,4]=>7
[3,1,5,2,6,4]=>[3,1,5,2,4]=>7
[3,1,5,4,2,6]=>[3,1,5,4,2]=>7
[3,1,5,4,6,2]=>[3,1,5,4,2]=>7
[3,1,5,6,2,4]=>[3,1,5,2,4]=>7
[3,1,5,6,4,2]=>[3,1,5,4,2]=>7
[3,1,6,2,4,5]=>[3,1,2,4,5]=>5
[3,1,6,2,5,4]=>[3,1,2,5,4]=>6
[3,1,6,4,2,5]=>[3,1,4,2,5]=>6
[3,1,6,4,5,2]=>[3,1,4,5,2]=>6
[3,1,6,5,2,4]=>[3,1,5,2,4]=>7
[3,1,6,5,4,2]=>[3,1,5,4,2]=>7
[3,2,1,4,5,6]=>[3,2,1,4,5]=>5
[3,2,1,4,6,5]=>[3,2,1,4,5]=>5
[3,2,1,5,4,6]=>[3,2,1,5,4]=>6
[3,2,1,5,6,4]=>[3,2,1,5,4]=>6
[3,2,1,6,4,5]=>[3,2,1,4,5]=>5
[3,2,1,6,5,4]=>[3,2,1,5,4]=>6
[3,2,4,1,5,6]=>[3,2,4,1,5]=>6
[3,2,4,1,6,5]=>[3,2,4,1,5]=>6
[3,2,4,5,1,6]=>[3,2,4,5,1]=>6
[3,2,4,5,6,1]=>[3,2,4,5,1]=>6
[3,2,4,6,1,5]=>[3,2,4,1,5]=>6
[3,2,4,6,5,1]=>[3,2,4,5,1]=>6
[3,2,5,1,4,6]=>[3,2,5,1,4]=>7
[3,2,5,1,6,4]=>[3,2,5,1,4]=>7
[3,2,5,4,1,6]=>[3,2,5,4,1]=>7
[3,2,5,4,6,1]=>[3,2,5,4,1]=>7
[3,2,5,6,1,4]=>[3,2,5,1,4]=>7
[3,2,5,6,4,1]=>[3,2,5,4,1]=>7
[3,2,6,1,4,5]=>[3,2,1,4,5]=>5
[3,2,6,1,5,4]=>[3,2,1,5,4]=>6
[3,2,6,4,1,5]=>[3,2,4,1,5]=>6
[3,2,6,4,5,1]=>[3,2,4,5,1]=>6
[3,2,6,5,1,4]=>[3,2,5,1,4]=>7
[3,2,6,5,4,1]=>[3,2,5,4,1]=>7
[3,4,1,2,5,6]=>[3,4,1,2,5]=>6
[3,4,1,2,6,5]=>[3,4,1,2,5]=>6
[3,4,1,5,2,6]=>[3,4,1,5,2]=>7
[3,4,1,5,6,2]=>[3,4,1,5,2]=>7
[3,4,1,6,2,5]=>[3,4,1,2,5]=>6
[3,4,1,6,5,2]=>[3,4,1,5,2]=>7
[3,4,2,1,5,6]=>[3,4,2,1,5]=>6
[3,4,2,1,6,5]=>[3,4,2,1,5]=>6
[3,4,2,5,1,6]=>[3,4,2,5,1]=>7
[3,4,2,5,6,1]=>[3,4,2,5,1]=>7
[3,4,2,6,1,5]=>[3,4,2,1,5]=>6
[3,4,2,6,5,1]=>[3,4,2,5,1]=>7
[3,4,5,1,2,6]=>[3,4,5,1,2]=>7
[3,4,5,1,6,2]=>[3,4,5,1,2]=>7
[3,4,5,2,1,6]=>[3,4,5,2,1]=>7
[3,4,5,2,6,1]=>[3,4,5,2,1]=>7
[3,4,5,6,1,2]=>[3,4,5,1,2]=>7
[3,4,5,6,2,1]=>[3,4,5,2,1]=>7
[3,4,6,1,2,5]=>[3,4,1,2,5]=>6
[3,4,6,1,5,2]=>[3,4,1,5,2]=>7
[3,4,6,2,1,5]=>[3,4,2,1,5]=>6
[3,4,6,2,5,1]=>[3,4,2,5,1]=>7
[3,4,6,5,1,2]=>[3,4,5,1,2]=>7
[3,4,6,5,2,1]=>[3,4,5,2,1]=>7
[3,5,1,2,4,6]=>[3,5,1,2,4]=>6
[3,5,1,2,6,4]=>[3,5,1,2,4]=>6
[3,5,1,4,2,6]=>[3,5,1,4,2]=>7
[3,5,1,4,6,2]=>[3,5,1,4,2]=>7
[3,5,1,6,2,4]=>[3,5,1,2,4]=>6
[3,5,1,6,4,2]=>[3,5,1,4,2]=>7
[3,5,2,1,4,6]=>[3,5,2,1,4]=>6
[3,5,2,1,6,4]=>[3,5,2,1,4]=>6
[3,5,2,4,1,6]=>[3,5,2,4,1]=>7
[3,5,2,4,6,1]=>[3,5,2,4,1]=>7
[3,5,2,6,1,4]=>[3,5,2,1,4]=>6
[3,5,2,6,4,1]=>[3,5,2,4,1]=>7
[3,5,4,1,2,6]=>[3,5,4,1,2]=>6
[3,5,4,1,6,2]=>[3,5,4,1,2]=>6
[3,5,4,2,1,6]=>[3,5,4,2,1]=>6
[3,5,4,2,6,1]=>[3,5,4,2,1]=>6
[3,5,4,6,1,2]=>[3,5,4,1,2]=>6
[3,5,4,6,2,1]=>[3,5,4,2,1]=>6
[3,5,6,1,2,4]=>[3,5,1,2,4]=>6
[3,5,6,1,4,2]=>[3,5,1,4,2]=>7
[3,5,6,2,1,4]=>[3,5,2,1,4]=>6
[3,5,6,2,4,1]=>[3,5,2,4,1]=>7
[3,5,6,4,1,2]=>[3,5,4,1,2]=>6
[3,5,6,4,2,1]=>[3,5,4,2,1]=>6
[3,6,1,2,4,5]=>[3,1,2,4,5]=>5
[3,6,1,2,5,4]=>[3,1,2,5,4]=>6
[3,6,1,4,2,5]=>[3,1,4,2,5]=>6
[3,6,1,4,5,2]=>[3,1,4,5,2]=>6
[3,6,1,5,2,4]=>[3,1,5,2,4]=>7
[3,6,1,5,4,2]=>[3,1,5,4,2]=>7
[3,6,2,1,4,5]=>[3,2,1,4,5]=>5
[3,6,2,1,5,4]=>[3,2,1,5,4]=>6
[3,6,2,4,1,5]=>[3,2,4,1,5]=>6
[3,6,2,4,5,1]=>[3,2,4,5,1]=>6
[3,6,2,5,1,4]=>[3,2,5,1,4]=>7
[3,6,2,5,4,1]=>[3,2,5,4,1]=>7
[3,6,4,1,2,5]=>[3,4,1,2,5]=>6
[3,6,4,1,5,2]=>[3,4,1,5,2]=>7
[3,6,4,2,1,5]=>[3,4,2,1,5]=>6
[3,6,4,2,5,1]=>[3,4,2,5,1]=>7
[3,6,4,5,1,2]=>[3,4,5,1,2]=>7
[3,6,4,5,2,1]=>[3,4,5,2,1]=>7
[3,6,5,1,2,4]=>[3,5,1,2,4]=>6
[3,6,5,1,4,2]=>[3,5,1,4,2]=>7
[3,6,5,2,1,4]=>[3,5,2,1,4]=>6
[3,6,5,2,4,1]=>[3,5,2,4,1]=>7
[3,6,5,4,1,2]=>[3,5,4,1,2]=>6
[3,6,5,4,2,1]=>[3,5,4,2,1]=>6
[4,1,2,3,5,6]=>[4,1,2,3,5]=>5
[4,1,2,3,6,5]=>[4,1,2,3,5]=>5
[4,1,2,5,3,6]=>[4,1,2,5,3]=>6
[4,1,2,5,6,3]=>[4,1,2,5,3]=>6
[4,1,2,6,3,5]=>[4,1,2,3,5]=>5
[4,1,2,6,5,3]=>[4,1,2,5,3]=>6
[4,1,3,2,5,6]=>[4,1,3,2,5]=>6
[4,1,3,2,6,5]=>[4,1,3,2,5]=>6
[4,1,3,5,2,6]=>[4,1,3,5,2]=>6
[4,1,3,5,6,2]=>[4,1,3,5,2]=>6
[4,1,3,6,2,5]=>[4,1,3,2,5]=>6
[4,1,3,6,5,2]=>[4,1,3,5,2]=>6
[4,1,5,2,3,6]=>[4,1,5,2,3]=>7
[4,1,5,2,6,3]=>[4,1,5,2,3]=>7
[4,1,5,3,2,6]=>[4,1,5,3,2]=>7
[4,1,5,3,6,2]=>[4,1,5,3,2]=>7
[4,1,5,6,2,3]=>[4,1,5,2,3]=>7
[4,1,5,6,3,2]=>[4,1,5,3,2]=>7
[4,1,6,2,3,5]=>[4,1,2,3,5]=>5
[4,1,6,2,5,3]=>[4,1,2,5,3]=>6
[4,1,6,3,2,5]=>[4,1,3,2,5]=>6
[4,1,6,3,5,2]=>[4,1,3,5,2]=>6
[4,1,6,5,2,3]=>[4,1,5,2,3]=>7
[4,1,6,5,3,2]=>[4,1,5,3,2]=>7
[4,2,1,3,5,6]=>[4,2,1,3,5]=>5
[4,2,1,3,6,5]=>[4,2,1,3,5]=>5
[4,2,1,5,3,6]=>[4,2,1,5,3]=>6
[4,2,1,5,6,3]=>[4,2,1,5,3]=>6
[4,2,1,6,3,5]=>[4,2,1,3,5]=>5
[4,2,1,6,5,3]=>[4,2,1,5,3]=>6
[4,2,3,1,5,6]=>[4,2,3,1,5]=>6
[4,2,3,1,6,5]=>[4,2,3,1,5]=>6
[4,2,3,5,1,6]=>[4,2,3,5,1]=>6
[4,2,3,5,6,1]=>[4,2,3,5,1]=>6
[4,2,3,6,1,5]=>[4,2,3,1,5]=>6
[4,2,3,6,5,1]=>[4,2,3,5,1]=>6
[4,2,5,1,3,6]=>[4,2,5,1,3]=>7
[4,2,5,1,6,3]=>[4,2,5,1,3]=>7
[4,2,5,3,1,6]=>[4,2,5,3,1]=>7
[4,2,5,3,6,1]=>[4,2,5,3,1]=>7
[4,2,5,6,1,3]=>[4,2,5,1,3]=>7
[4,2,5,6,3,1]=>[4,2,5,3,1]=>7
[4,2,6,1,3,5]=>[4,2,1,3,5]=>5
[4,2,6,1,5,3]=>[4,2,1,5,3]=>6
[4,2,6,3,1,5]=>[4,2,3,1,5]=>6
[4,2,6,3,5,1]=>[4,2,3,5,1]=>6
[4,2,6,5,1,3]=>[4,2,5,1,3]=>7
[4,2,6,5,3,1]=>[4,2,5,3,1]=>7
[4,3,1,2,5,6]=>[4,3,1,2,5]=>5
[4,3,1,2,6,5]=>[4,3,1,2,5]=>5
[4,3,1,5,2,6]=>[4,3,1,5,2]=>6
[4,3,1,5,6,2]=>[4,3,1,5,2]=>6
[4,3,1,6,2,5]=>[4,3,1,2,5]=>5
[4,3,1,6,5,2]=>[4,3,1,5,2]=>6
[4,3,2,1,5,6]=>[4,3,2,1,5]=>5
[4,3,2,1,6,5]=>[4,3,2,1,5]=>5
[4,3,2,5,1,6]=>[4,3,2,5,1]=>6
[4,3,2,5,6,1]=>[4,3,2,5,1]=>6
[4,3,2,6,1,5]=>[4,3,2,1,5]=>5
[4,3,2,6,5,1]=>[4,3,2,5,1]=>6
[4,3,5,1,2,6]=>[4,3,5,1,2]=>7
[4,3,5,1,6,2]=>[4,3,5,1,2]=>7
[4,3,5,2,1,6]=>[4,3,5,2,1]=>7
[4,3,5,2,6,1]=>[4,3,5,2,1]=>7
[4,3,5,6,1,2]=>[4,3,5,1,2]=>7
[4,3,5,6,2,1]=>[4,3,5,2,1]=>7
[4,3,6,1,2,5]=>[4,3,1,2,5]=>5
[4,3,6,1,5,2]=>[4,3,1,5,2]=>6
[4,3,6,2,1,5]=>[4,3,2,1,5]=>5
[4,3,6,2,5,1]=>[4,3,2,5,1]=>6
[4,3,6,5,1,2]=>[4,3,5,1,2]=>7
[4,3,6,5,2,1]=>[4,3,5,2,1]=>7
[4,5,1,2,3,6]=>[4,5,1,2,3]=>6
[4,5,1,2,6,3]=>[4,5,1,2,3]=>6
[4,5,1,3,2,6]=>[4,5,1,3,2]=>7
[4,5,1,3,6,2]=>[4,5,1,3,2]=>7
[4,5,1,6,2,3]=>[4,5,1,2,3]=>6
[4,5,1,6,3,2]=>[4,5,1,3,2]=>7
[4,5,2,1,3,6]=>[4,5,2,1,3]=>6
[4,5,2,1,6,3]=>[4,5,2,1,3]=>6
[4,5,2,3,1,6]=>[4,5,2,3,1]=>7
[4,5,2,3,6,1]=>[4,5,2,3,1]=>7
[4,5,2,6,1,3]=>[4,5,2,1,3]=>6
[4,5,2,6,3,1]=>[4,5,2,3,1]=>7
[4,5,3,1,2,6]=>[4,5,3,1,2]=>6
[4,5,3,1,6,2]=>[4,5,3,1,2]=>6
[4,5,3,2,1,6]=>[4,5,3,2,1]=>6
[4,5,3,2,6,1]=>[4,5,3,2,1]=>6
[4,5,3,6,1,2]=>[4,5,3,1,2]=>6
[4,5,3,6,2,1]=>[4,5,3,2,1]=>6
[4,5,6,1,2,3]=>[4,5,1,2,3]=>6
[4,5,6,1,3,2]=>[4,5,1,3,2]=>7
[4,5,6,2,1,3]=>[4,5,2,1,3]=>6
[4,5,6,2,3,1]=>[4,5,2,3,1]=>7
[4,5,6,3,1,2]=>[4,5,3,1,2]=>6
[4,5,6,3,2,1]=>[4,5,3,2,1]=>6
[4,6,1,2,3,5]=>[4,1,2,3,5]=>5
[4,6,1,2,5,3]=>[4,1,2,5,3]=>6
[4,6,1,3,2,5]=>[4,1,3,2,5]=>6
[4,6,1,3,5,2]=>[4,1,3,5,2]=>6
[4,6,1,5,2,3]=>[4,1,5,2,3]=>7
[4,6,1,5,3,2]=>[4,1,5,3,2]=>7
[4,6,2,1,3,5]=>[4,2,1,3,5]=>5
[4,6,2,1,5,3]=>[4,2,1,5,3]=>6
[4,6,2,3,1,5]=>[4,2,3,1,5]=>6
[4,6,2,3,5,1]=>[4,2,3,5,1]=>6
[4,6,2,5,1,3]=>[4,2,5,1,3]=>7
[4,6,2,5,3,1]=>[4,2,5,3,1]=>7
[4,6,3,1,2,5]=>[4,3,1,2,5]=>5
[4,6,3,1,5,2]=>[4,3,1,5,2]=>6
[4,6,3,2,1,5]=>[4,3,2,1,5]=>5
[4,6,3,2,5,1]=>[4,3,2,5,1]=>6
[4,6,3,5,1,2]=>[4,3,5,1,2]=>7
[4,6,3,5,2,1]=>[4,3,5,2,1]=>7
[4,6,5,1,2,3]=>[4,5,1,2,3]=>6
[4,6,5,1,3,2]=>[4,5,1,3,2]=>7
[4,6,5,2,1,3]=>[4,5,2,1,3]=>6
[4,6,5,2,3,1]=>[4,5,2,3,1]=>7
[4,6,5,3,1,2]=>[4,5,3,1,2]=>6
[4,6,5,3,2,1]=>[4,5,3,2,1]=>6
[5,1,2,3,4,6]=>[5,1,2,3,4]=>5
[5,1,2,3,6,4]=>[5,1,2,3,4]=>5
[5,1,2,4,3,6]=>[5,1,2,4,3]=>6
[5,1,2,4,6,3]=>[5,1,2,4,3]=>6
[5,1,2,6,3,4]=>[5,1,2,3,4]=>5
[5,1,2,6,4,3]=>[5,1,2,4,3]=>6
[5,1,3,2,4,6]=>[5,1,3,2,4]=>6
[5,1,3,2,6,4]=>[5,1,3,2,4]=>6
[5,1,3,4,2,6]=>[5,1,3,4,2]=>6
[5,1,3,4,6,2]=>[5,1,3,4,2]=>6
[5,1,3,6,2,4]=>[5,1,3,2,4]=>6
[5,1,3,6,4,2]=>[5,1,3,4,2]=>6
[5,1,4,2,3,6]=>[5,1,4,2,3]=>6
[5,1,4,2,6,3]=>[5,1,4,2,3]=>6
[5,1,4,3,2,6]=>[5,1,4,3,2]=>6
[5,1,4,3,6,2]=>[5,1,4,3,2]=>6
[5,1,4,6,2,3]=>[5,1,4,2,3]=>6
[5,1,4,6,3,2]=>[5,1,4,3,2]=>6
[5,1,6,2,3,4]=>[5,1,2,3,4]=>5
[5,1,6,2,4,3]=>[5,1,2,4,3]=>6
[5,1,6,3,2,4]=>[5,1,3,2,4]=>6
[5,1,6,3,4,2]=>[5,1,3,4,2]=>6
[5,1,6,4,2,3]=>[5,1,4,2,3]=>6
[5,1,6,4,3,2]=>[5,1,4,3,2]=>6
[5,2,1,3,4,6]=>[5,2,1,3,4]=>5
[5,2,1,3,6,4]=>[5,2,1,3,4]=>5
[5,2,1,4,3,6]=>[5,2,1,4,3]=>6
[5,2,1,4,6,3]=>[5,2,1,4,3]=>6
[5,2,1,6,3,4]=>[5,2,1,3,4]=>5
[5,2,1,6,4,3]=>[5,2,1,4,3]=>6
[5,2,3,1,4,6]=>[5,2,3,1,4]=>6
[5,2,3,1,6,4]=>[5,2,3,1,4]=>6
[5,2,3,4,1,6]=>[5,2,3,4,1]=>6
[5,2,3,4,6,1]=>[5,2,3,4,1]=>6
[5,2,3,6,1,4]=>[5,2,3,1,4]=>6
[5,2,3,6,4,1]=>[5,2,3,4,1]=>6
[5,2,4,1,3,6]=>[5,2,4,1,3]=>6
[5,2,4,1,6,3]=>[5,2,4,1,3]=>6
[5,2,4,3,1,6]=>[5,2,4,3,1]=>6
[5,2,4,3,6,1]=>[5,2,4,3,1]=>6
[5,2,4,6,1,3]=>[5,2,4,1,3]=>6
[5,2,4,6,3,1]=>[5,2,4,3,1]=>6
[5,2,6,1,3,4]=>[5,2,1,3,4]=>5
[5,2,6,1,4,3]=>[5,2,1,4,3]=>6
[5,2,6,3,1,4]=>[5,2,3,1,4]=>6
[5,2,6,3,4,1]=>[5,2,3,4,1]=>6
[5,2,6,4,1,3]=>[5,2,4,1,3]=>6
[5,2,6,4,3,1]=>[5,2,4,3,1]=>6
[5,3,1,2,4,6]=>[5,3,1,2,4]=>5
[5,3,1,2,6,4]=>[5,3,1,2,4]=>5
[5,3,1,4,2,6]=>[5,3,1,4,2]=>6
[5,3,1,4,6,2]=>[5,3,1,4,2]=>6
[5,3,1,6,2,4]=>[5,3,1,2,4]=>5
[5,3,1,6,4,2]=>[5,3,1,4,2]=>6
[5,3,2,1,4,6]=>[5,3,2,1,4]=>5
[5,3,2,1,6,4]=>[5,3,2,1,4]=>5
[5,3,2,4,1,6]=>[5,3,2,4,1]=>6
[5,3,2,4,6,1]=>[5,3,2,4,1]=>6
[5,3,2,6,1,4]=>[5,3,2,1,4]=>5
[5,3,2,6,4,1]=>[5,3,2,4,1]=>6
[5,3,4,1,2,6]=>[5,3,4,1,2]=>6
[5,3,4,1,6,2]=>[5,3,4,1,2]=>6
[5,3,4,2,1,6]=>[5,3,4,2,1]=>6
[5,3,4,2,6,1]=>[5,3,4,2,1]=>6
[5,3,4,6,1,2]=>[5,3,4,1,2]=>6
[5,3,4,6,2,1]=>[5,3,4,2,1]=>6
[5,3,6,1,2,4]=>[5,3,1,2,4]=>5
[5,3,6,1,4,2]=>[5,3,1,4,2]=>6
[5,3,6,2,1,4]=>[5,3,2,1,4]=>5
[5,3,6,2,4,1]=>[5,3,2,4,1]=>6
[5,3,6,4,1,2]=>[5,3,4,1,2]=>6
[5,3,6,4,2,1]=>[5,3,4,2,1]=>6
[5,4,1,2,3,6]=>[5,4,1,2,3]=>5
[5,4,1,2,6,3]=>[5,4,1,2,3]=>5
[5,4,1,3,2,6]=>[5,4,1,3,2]=>6
[5,4,1,3,6,2]=>[5,4,1,3,2]=>6
[5,4,1,6,2,3]=>[5,4,1,2,3]=>5
[5,4,1,6,3,2]=>[5,4,1,3,2]=>6
[5,4,2,1,3,6]=>[5,4,2,1,3]=>5
[5,4,2,1,6,3]=>[5,4,2,1,3]=>5
[5,4,2,3,1,6]=>[5,4,2,3,1]=>6
[5,4,2,3,6,1]=>[5,4,2,3,1]=>6
[5,4,2,6,1,3]=>[5,4,2,1,3]=>5
[5,4,2,6,3,1]=>[5,4,2,3,1]=>6
[5,4,3,1,2,6]=>[5,4,3,1,2]=>5
[5,4,3,1,6,2]=>[5,4,3,1,2]=>5
[5,4,3,2,1,6]=>[5,4,3,2,1]=>5
[5,4,3,2,6,1]=>[5,4,3,2,1]=>5
[5,4,3,6,1,2]=>[5,4,3,1,2]=>5
[5,4,3,6,2,1]=>[5,4,3,2,1]=>5
[5,4,6,1,2,3]=>[5,4,1,2,3]=>5
[5,4,6,1,3,2]=>[5,4,1,3,2]=>6
[5,4,6,2,1,3]=>[5,4,2,1,3]=>5
[5,4,6,2,3,1]=>[5,4,2,3,1]=>6
[5,4,6,3,1,2]=>[5,4,3,1,2]=>5
[5,4,6,3,2,1]=>[5,4,3,2,1]=>5
[5,6,1,2,3,4]=>[5,1,2,3,4]=>5
[5,6,1,2,4,3]=>[5,1,2,4,3]=>6
[5,6,1,3,2,4]=>[5,1,3,2,4]=>6
[5,6,1,3,4,2]=>[5,1,3,4,2]=>6
[5,6,1,4,2,3]=>[5,1,4,2,3]=>6
[5,6,1,4,3,2]=>[5,1,4,3,2]=>6
[5,6,2,1,3,4]=>[5,2,1,3,4]=>5
[5,6,2,1,4,3]=>[5,2,1,4,3]=>6
[5,6,2,3,1,4]=>[5,2,3,1,4]=>6
[5,6,2,3,4,1]=>[5,2,3,4,1]=>6
[5,6,2,4,1,3]=>[5,2,4,1,3]=>6
[5,6,2,4,3,1]=>[5,2,4,3,1]=>6
[5,6,3,1,2,4]=>[5,3,1,2,4]=>5
[5,6,3,1,4,2]=>[5,3,1,4,2]=>6
[5,6,3,2,1,4]=>[5,3,2,1,4]=>5
[5,6,3,2,4,1]=>[5,3,2,4,1]=>6
[5,6,3,4,1,2]=>[5,3,4,1,2]=>6
[5,6,3,4,2,1]=>[5,3,4,2,1]=>6
[5,6,4,1,2,3]=>[5,4,1,2,3]=>5
[5,6,4,1,3,2]=>[5,4,1,3,2]=>6
[5,6,4,2,1,3]=>[5,4,2,1,3]=>5
[5,6,4,2,3,1]=>[5,4,2,3,1]=>6
[5,6,4,3,1,2]=>[5,4,3,1,2]=>5
[5,6,4,3,2,1]=>[5,4,3,2,1]=>5
[6,1,2,3,4,5]=>[1,2,3,4,5]=>5
[6,1,2,3,5,4]=>[1,2,3,5,4]=>6
[6,1,2,4,3,5]=>[1,2,4,3,5]=>6
[6,1,2,4,5,3]=>[1,2,4,5,3]=>6
[6,1,2,5,3,4]=>[1,2,5,3,4]=>7
[6,1,2,5,4,3]=>[1,2,5,4,3]=>7
[6,1,3,2,4,5]=>[1,3,2,4,5]=>6
[6,1,3,2,5,4]=>[1,3,2,5,4]=>7
[6,1,3,4,2,5]=>[1,3,4,2,5]=>6
[6,1,3,4,5,2]=>[1,3,4,5,2]=>6
[6,1,3,5,2,4]=>[1,3,5,2,4]=>7
[6,1,3,5,4,2]=>[1,3,5,4,2]=>7
[6,1,4,2,3,5]=>[1,4,2,3,5]=>6
[6,1,4,2,5,3]=>[1,4,2,5,3]=>7
[6,1,4,3,2,5]=>[1,4,3,2,5]=>6
[6,1,4,3,5,2]=>[1,4,3,5,2]=>7
[6,1,4,5,2,3]=>[1,4,5,2,3]=>7
[6,1,4,5,3,2]=>[1,4,5,3,2]=>7
[6,1,5,2,3,4]=>[1,5,2,3,4]=>6
[6,1,5,2,4,3]=>[1,5,2,4,3]=>7
[6,1,5,3,2,4]=>[1,5,3,2,4]=>6
[6,1,5,3,4,2]=>[1,5,3,4,2]=>7
[6,1,5,4,2,3]=>[1,5,4,2,3]=>6
[6,1,5,4,3,2]=>[1,5,4,3,2]=>6
[6,2,1,3,4,5]=>[2,1,3,4,5]=>5
[6,2,1,3,5,4]=>[2,1,3,5,4]=>6
[6,2,1,4,3,5]=>[2,1,4,3,5]=>6
[6,2,1,4,5,3]=>[2,1,4,5,3]=>6
[6,2,1,5,3,4]=>[2,1,5,3,4]=>7
[6,2,1,5,4,3]=>[2,1,5,4,3]=>7
[6,2,3,1,4,5]=>[2,3,1,4,5]=>6
[6,2,3,1,5,4]=>[2,3,1,5,4]=>7
[6,2,3,4,1,5]=>[2,3,4,1,5]=>6
[6,2,3,4,5,1]=>[2,3,4,5,1]=>6
[6,2,3,5,1,4]=>[2,3,5,1,4]=>7
[6,2,3,5,4,1]=>[2,3,5,4,1]=>7
[6,2,4,1,3,5]=>[2,4,1,3,5]=>6
[6,2,4,1,5,3]=>[2,4,1,5,3]=>7
[6,2,4,3,1,5]=>[2,4,3,1,5]=>6
[6,2,4,3,5,1]=>[2,4,3,5,1]=>7
[6,2,4,5,1,3]=>[2,4,5,1,3]=>7
[6,2,4,5,3,1]=>[2,4,5,3,1]=>7
[6,2,5,1,3,4]=>[2,5,1,3,4]=>6
[6,2,5,1,4,3]=>[2,5,1,4,3]=>7
[6,2,5,3,1,4]=>[2,5,3,1,4]=>6
[6,2,5,3,4,1]=>[2,5,3,4,1]=>7
[6,2,5,4,1,3]=>[2,5,4,1,3]=>6
[6,2,5,4,3,1]=>[2,5,4,3,1]=>6
[6,3,1,2,4,5]=>[3,1,2,4,5]=>5
[6,3,1,2,5,4]=>[3,1,2,5,4]=>6
[6,3,1,4,2,5]=>[3,1,4,2,5]=>6
[6,3,1,4,5,2]=>[3,1,4,5,2]=>6
[6,3,1,5,2,4]=>[3,1,5,2,4]=>7
[6,3,1,5,4,2]=>[3,1,5,4,2]=>7
[6,3,2,1,4,5]=>[3,2,1,4,5]=>5
[6,3,2,1,5,4]=>[3,2,1,5,4]=>6
[6,3,2,4,1,5]=>[3,2,4,1,5]=>6
[6,3,2,4,5,1]=>[3,2,4,5,1]=>6
[6,3,2,5,1,4]=>[3,2,5,1,4]=>7
[6,3,2,5,4,1]=>[3,2,5,4,1]=>7
[6,3,4,1,2,5]=>[3,4,1,2,5]=>6
[6,3,4,1,5,2]=>[3,4,1,5,2]=>7
[6,3,4,2,1,5]=>[3,4,2,1,5]=>6
[6,3,4,2,5,1]=>[3,4,2,5,1]=>7
[6,3,4,5,1,2]=>[3,4,5,1,2]=>7
[6,3,4,5,2,1]=>[3,4,5,2,1]=>7
[6,3,5,1,2,4]=>[3,5,1,2,4]=>6
[6,3,5,1,4,2]=>[3,5,1,4,2]=>7
[6,3,5,2,1,4]=>[3,5,2,1,4]=>6
[6,3,5,2,4,1]=>[3,5,2,4,1]=>7
[6,3,5,4,1,2]=>[3,5,4,1,2]=>6
[6,3,5,4,2,1]=>[3,5,4,2,1]=>6
[6,4,1,2,3,5]=>[4,1,2,3,5]=>5
[6,4,1,2,5,3]=>[4,1,2,5,3]=>6
[6,4,1,3,2,5]=>[4,1,3,2,5]=>6
[6,4,1,3,5,2]=>[4,1,3,5,2]=>6
[6,4,1,5,2,3]=>[4,1,5,2,3]=>7
[6,4,1,5,3,2]=>[4,1,5,3,2]=>7
[6,4,2,1,3,5]=>[4,2,1,3,5]=>5
[6,4,2,1,5,3]=>[4,2,1,5,3]=>6
[6,4,2,3,1,5]=>[4,2,3,1,5]=>6
[6,4,2,3,5,1]=>[4,2,3,5,1]=>6
[6,4,2,5,1,3]=>[4,2,5,1,3]=>7
[6,4,2,5,3,1]=>[4,2,5,3,1]=>7
[6,4,3,1,2,5]=>[4,3,1,2,5]=>5
[6,4,3,1,5,2]=>[4,3,1,5,2]=>6
[6,4,3,2,1,5]=>[4,3,2,1,5]=>5
[6,4,3,2,5,1]=>[4,3,2,5,1]=>6
[6,4,3,5,1,2]=>[4,3,5,1,2]=>7
[6,4,3,5,2,1]=>[4,3,5,2,1]=>7
[6,4,5,1,2,3]=>[4,5,1,2,3]=>6
[6,4,5,1,3,2]=>[4,5,1,3,2]=>7
[6,4,5,2,1,3]=>[4,5,2,1,3]=>6
[6,4,5,2,3,1]=>[4,5,2,3,1]=>7
[6,4,5,3,1,2]=>[4,5,3,1,2]=>6
[6,4,5,3,2,1]=>[4,5,3,2,1]=>6
[6,5,1,2,3,4]=>[5,1,2,3,4]=>5
[6,5,1,2,4,3]=>[5,1,2,4,3]=>6
[6,5,1,3,2,4]=>[5,1,3,2,4]=>6
[6,5,1,3,4,2]=>[5,1,3,4,2]=>6
[6,5,1,4,2,3]=>[5,1,4,2,3]=>6
[6,5,1,4,3,2]=>[5,1,4,3,2]=>6
[6,5,2,1,3,4]=>[5,2,1,3,4]=>5
[6,5,2,1,4,3]=>[5,2,1,4,3]=>6
[6,5,2,3,1,4]=>[5,2,3,1,4]=>6
[6,5,2,3,4,1]=>[5,2,3,4,1]=>6
[6,5,2,4,1,3]=>[5,2,4,1,3]=>6
[6,5,2,4,3,1]=>[5,2,4,3,1]=>6
[6,5,3,1,2,4]=>[5,3,1,2,4]=>5
[6,5,3,1,4,2]=>[5,3,1,4,2]=>6
[6,5,3,2,1,4]=>[5,3,2,1,4]=>5
[6,5,3,2,4,1]=>[5,3,2,4,1]=>6
[6,5,3,4,1,2]=>[5,3,4,1,2]=>6
[6,5,3,4,2,1]=>[5,3,4,2,1]=>6
[6,5,4,1,2,3]=>[5,4,1,2,3]=>5
[6,5,4,1,3,2]=>[5,4,1,3,2]=>6
[6,5,4,2,1,3]=>[5,4,2,1,3]=>5
[6,5,4,2,3,1]=>[5,4,2,3,1]=>6
[6,5,4,3,1,2]=>[5,4,3,1,2]=>5
[6,5,4,3,2,1]=>[5,4,3,2,1]=>5
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6]=>6
[1,2,3,4,5,7,6]=>[1,2,3,4,5,6]=>6
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5]=>7
[1,2,3,4,6,7,5]=>[1,2,3,4,6,5]=>7
[1,2,3,4,7,5,6]=>[1,2,3,4,5,6]=>6
[1,2,3,4,7,6,5]=>[1,2,3,4,6,5]=>7
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6]=>7
[1,2,3,5,4,7,6]=>[1,2,3,5,4,6]=>7
[1,2,3,5,6,4,7]=>[1,2,3,5,6,4]=>7
[1,2,3,5,6,7,4]=>[1,2,3,5,6,4]=>7
[1,2,3,5,7,4,6]=>[1,2,3,5,4,6]=>7
[1,2,3,5,7,6,4]=>[1,2,3,5,6,4]=>7
[1,2,3,6,4,5,7]=>[1,2,3,6,4,5]=>8
[1,2,3,6,4,7,5]=>[1,2,3,6,4,5]=>8
[1,2,3,6,5,4,7]=>[1,2,3,6,5,4]=>8
[1,2,3,6,5,7,4]=>[1,2,3,6,5,4]=>8
[1,2,3,6,7,4,5]=>[1,2,3,6,4,5]=>8
[1,2,3,6,7,5,4]=>[1,2,3,6,5,4]=>8
[1,2,3,7,4,5,6]=>[1,2,3,4,5,6]=>6
[1,2,3,7,4,6,5]=>[1,2,3,4,6,5]=>7
[1,2,3,7,5,4,6]=>[1,2,3,5,4,6]=>7
[1,2,3,7,5,6,4]=>[1,2,3,5,6,4]=>7
[1,2,3,7,6,4,5]=>[1,2,3,6,4,5]=>8
[1,2,3,7,6,5,4]=>[1,2,3,6,5,4]=>8
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6]=>7
[1,2,4,3,5,7,6]=>[1,2,4,3,5,6]=>7
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5]=>8
[1,2,4,3,6,7,5]=>[1,2,4,3,6,5]=>8
[1,2,4,3,7,5,6]=>[1,2,4,3,5,6]=>7
[1,2,4,3,7,6,5]=>[1,2,4,3,6,5]=>8
[1,2,4,5,3,6,7]=>[1,2,4,5,3,6]=>7
[1,2,4,5,3,7,6]=>[1,2,4,5,3,6]=>7
[1,2,4,5,6,3,7]=>[1,2,4,5,6,3]=>7
[1,2,4,5,6,7,3]=>[1,2,4,5,6,3]=>7
[1,2,4,5,7,3,6]=>[1,2,4,5,3,6]=>7
[1,2,4,5,7,6,3]=>[1,2,4,5,6,3]=>7
[1,2,4,6,3,5,7]=>[1,2,4,6,3,5]=>8
[1,2,4,6,3,7,5]=>[1,2,4,6,3,5]=>8
[1,2,4,6,5,3,7]=>[1,2,4,6,5,3]=>8
[1,2,4,6,5,7,3]=>[1,2,4,6,5,3]=>8
[1,2,4,6,7,3,5]=>[1,2,4,6,3,5]=>8
[1,2,4,6,7,5,3]=>[1,2,4,6,5,3]=>8
[1,2,4,7,3,5,6]=>[1,2,4,3,5,6]=>7
[1,2,4,7,3,6,5]=>[1,2,4,3,6,5]=>8
[1,2,4,7,5,3,6]=>[1,2,4,5,3,6]=>7
[1,2,4,7,5,6,3]=>[1,2,4,5,6,3]=>7
[1,2,4,7,6,3,5]=>[1,2,4,6,3,5]=>8
[1,2,4,7,6,5,3]=>[1,2,4,6,5,3]=>8
[1,2,5,3,4,6,7]=>[1,2,5,3,4,6]=>8
[1,2,5,3,4,7,6]=>[1,2,5,3,4,6]=>8
[1,2,5,3,6,4,7]=>[1,2,5,3,6,4]=>8
[1,2,5,3,6,7,4]=>[1,2,5,3,6,4]=>8
[1,2,5,3,7,4,6]=>[1,2,5,3,4,6]=>8
[1,2,5,3,7,6,4]=>[1,2,5,3,6,4]=>8
[1,2,5,4,3,6,7]=>[1,2,5,4,3,6]=>8
[1,2,5,4,3,7,6]=>[1,2,5,4,3,6]=>8
[1,2,5,4,6,3,7]=>[1,2,5,4,6,3]=>8
[1,2,5,4,6,7,3]=>[1,2,5,4,6,3]=>8
[1,2,5,4,7,3,6]=>[1,2,5,4,3,6]=>8
[1,2,5,4,7,6,3]=>[1,2,5,4,6,3]=>8
[1,2,5,6,3,4,7]=>[1,2,5,6,3,4]=>8
[1,2,5,6,3,7,4]=>[1,2,5,6,3,4]=>8
[1,2,5,6,4,3,7]=>[1,2,5,6,4,3]=>8
[1,2,5,6,4,7,3]=>[1,2,5,6,4,3]=>8
[1,2,5,6,7,3,4]=>[1,2,5,6,3,4]=>8
[1,2,5,6,7,4,3]=>[1,2,5,6,4,3]=>8
[1,2,5,7,3,4,6]=>[1,2,5,3,4,6]=>8
[1,2,5,7,3,6,4]=>[1,2,5,3,6,4]=>8
[1,2,5,7,4,3,6]=>[1,2,5,4,3,6]=>8
[1,2,5,7,4,6,3]=>[1,2,5,4,6,3]=>8
[1,2,5,7,6,3,4]=>[1,2,5,6,3,4]=>8
[1,2,5,7,6,4,3]=>[1,2,5,6,4,3]=>8
[1,2,6,3,4,5,7]=>[1,2,6,3,4,5]=>8
[1,2,6,3,4,7,5]=>[1,2,6,3,4,5]=>8
[1,2,6,3,5,4,7]=>[1,2,6,3,5,4]=>9
[1,2,6,3,5,7,4]=>[1,2,6,3,5,4]=>9
[1,2,6,3,7,4,5]=>[1,2,6,3,4,5]=>8
[1,2,6,3,7,5,4]=>[1,2,6,3,5,4]=>9
[1,2,6,4,3,5,7]=>[1,2,6,4,3,5]=>8
[1,2,6,4,3,7,5]=>[1,2,6,4,3,5]=>8
[1,2,6,4,5,3,7]=>[1,2,6,4,5,3]=>9
[1,2,6,4,5,7,3]=>[1,2,6,4,5,3]=>9
[1,2,6,4,7,3,5]=>[1,2,6,4,3,5]=>8
[1,2,6,4,7,5,3]=>[1,2,6,4,5,3]=>9
[1,2,6,5,3,4,7]=>[1,2,6,5,3,4]=>8
[1,2,6,5,3,7,4]=>[1,2,6,5,3,4]=>8
[1,2,6,5,4,3,7]=>[1,2,6,5,4,3]=>8
[1,2,6,5,4,7,3]=>[1,2,6,5,4,3]=>8
[1,2,6,5,7,3,4]=>[1,2,6,5,3,4]=>8
[1,2,6,5,7,4,3]=>[1,2,6,5,4,3]=>8
[1,2,6,7,3,4,5]=>[1,2,6,3,4,5]=>8
[1,2,6,7,3,5,4]=>[1,2,6,3,5,4]=>9
[1,2,6,7,4,3,5]=>[1,2,6,4,3,5]=>8
[1,2,6,7,4,5,3]=>[1,2,6,4,5,3]=>9
[1,2,6,7,5,3,4]=>[1,2,6,5,3,4]=>8
[1,2,6,7,5,4,3]=>[1,2,6,5,4,3]=>8
[1,2,7,3,4,5,6]=>[1,2,3,4,5,6]=>6
[1,2,7,3,4,6,5]=>[1,2,3,4,6,5]=>7
[1,2,7,3,5,4,6]=>[1,2,3,5,4,6]=>7
[1,2,7,3,5,6,4]=>[1,2,3,5,6,4]=>7
[1,2,7,3,6,4,5]=>[1,2,3,6,4,5]=>8
[1,2,7,3,6,5,4]=>[1,2,3,6,5,4]=>8
[1,2,7,4,3,5,6]=>[1,2,4,3,5,6]=>7
[1,2,7,4,3,6,5]=>[1,2,4,3,6,5]=>8
[1,2,7,4,5,3,6]=>[1,2,4,5,3,6]=>7
[1,2,7,4,5,6,3]=>[1,2,4,5,6,3]=>7
[1,2,7,4,6,3,5]=>[1,2,4,6,3,5]=>8
[1,2,7,4,6,5,3]=>[1,2,4,6,5,3]=>8
[1,2,7,5,3,4,6]=>[1,2,5,3,4,6]=>8
[1,2,7,5,3,6,4]=>[1,2,5,3,6,4]=>8
[1,2,7,5,4,3,6]=>[1,2,5,4,3,6]=>8
[1,2,7,5,4,6,3]=>[1,2,5,4,6,3]=>8
[1,2,7,5,6,3,4]=>[1,2,5,6,3,4]=>8
[1,2,7,5,6,4,3]=>[1,2,5,6,4,3]=>8
[1,2,7,6,3,4,5]=>[1,2,6,3,4,5]=>8
[1,2,7,6,3,5,4]=>[1,2,6,3,5,4]=>9
[1,2,7,6,4,3,5]=>[1,2,6,4,3,5]=>8
[1,2,7,6,4,5,3]=>[1,2,6,4,5,3]=>9
[1,2,7,6,5,3,4]=>[1,2,6,5,3,4]=>8
[1,2,7,6,5,4,3]=>[1,2,6,5,4,3]=>8
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6]=>7
[1,3,2,4,5,7,6]=>[1,3,2,4,5,6]=>7
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5]=>8
[1,3,2,4,6,7,5]=>[1,3,2,4,6,5]=>8
[1,3,2,4,7,5,6]=>[1,3,2,4,5,6]=>7
[1,3,2,4,7,6,5]=>[1,3,2,4,6,5]=>8
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6]=>8
[1,3,2,5,4,7,6]=>[1,3,2,5,4,6]=>8
[1,3,2,5,6,4,7]=>[1,3,2,5,6,4]=>8
[1,3,2,5,6,7,4]=>[1,3,2,5,6,4]=>8
[1,3,2,5,7,4,6]=>[1,3,2,5,4,6]=>8
[1,3,2,5,7,6,4]=>[1,3,2,5,6,4]=>8
[1,3,2,6,4,5,7]=>[1,3,2,6,4,5]=>9
[1,3,2,6,4,7,5]=>[1,3,2,6,4,5]=>9
[1,3,2,6,5,4,7]=>[1,3,2,6,5,4]=>9
[1,3,2,6,5,7,4]=>[1,3,2,6,5,4]=>9
[1,3,2,6,7,4,5]=>[1,3,2,6,4,5]=>9
[1,3,2,6,7,5,4]=>[1,3,2,6,5,4]=>9
[1,3,2,7,4,5,6]=>[1,3,2,4,5,6]=>7
[1,3,2,7,4,6,5]=>[1,3,2,4,6,5]=>8
[1,3,2,7,5,4,6]=>[1,3,2,5,4,6]=>8
[1,3,2,7,5,6,4]=>[1,3,2,5,6,4]=>8
[1,3,2,7,6,4,5]=>[1,3,2,6,4,5]=>9
[1,3,2,7,6,5,4]=>[1,3,2,6,5,4]=>9
[1,3,4,2,5,6,7]=>[1,3,4,2,5,6]=>7
[1,3,4,2,5,7,6]=>[1,3,4,2,5,6]=>7
[1,3,4,2,6,5,7]=>[1,3,4,2,6,5]=>8
[1,3,4,2,6,7,5]=>[1,3,4,2,6,5]=>8
[1,3,4,2,7,5,6]=>[1,3,4,2,5,6]=>7
[1,3,4,2,7,6,5]=>[1,3,4,2,6,5]=>8
[1,3,4,5,2,6,7]=>[1,3,4,5,2,6]=>7
[1,3,4,5,2,7,6]=>[1,3,4,5,2,6]=>7
[1,3,4,5,6,2,7]=>[1,3,4,5,6,2]=>7
[1,3,4,5,6,7,2]=>[1,3,4,5,6,2]=>7
[1,3,4,5,7,2,6]=>[1,3,4,5,2,6]=>7
[1,3,4,5,7,6,2]=>[1,3,4,5,6,2]=>7
[1,3,4,6,2,5,7]=>[1,3,4,6,2,5]=>8
[1,3,4,6,2,7,5]=>[1,3,4,6,2,5]=>8
[1,3,4,6,5,2,7]=>[1,3,4,6,5,2]=>8
[1,3,4,6,5,7,2]=>[1,3,4,6,5,2]=>8
[1,3,4,6,7,2,5]=>[1,3,4,6,2,5]=>8
[1,3,4,6,7,5,2]=>[1,3,4,6,5,2]=>8
[1,3,4,7,2,5,6]=>[1,3,4,2,5,6]=>7
[1,3,4,7,2,6,5]=>[1,3,4,2,6,5]=>8
[1,3,4,7,5,2,6]=>[1,3,4,5,2,6]=>7
[1,3,4,7,5,6,2]=>[1,3,4,5,6,2]=>7
[1,3,4,7,6,2,5]=>[1,3,4,6,2,5]=>8
[1,3,4,7,6,5,2]=>[1,3,4,6,5,2]=>8
[1,3,5,2,4,6,7]=>[1,3,5,2,4,6]=>8
[1,3,5,2,4,7,6]=>[1,3,5,2,4,6]=>8
[1,3,5,2,6,4,7]=>[1,3,5,2,6,4]=>8
[1,3,5,2,6,7,4]=>[1,3,5,2,6,4]=>8
[1,3,5,2,7,4,6]=>[1,3,5,2,4,6]=>8
[1,3,5,2,7,6,4]=>[1,3,5,2,6,4]=>8
[1,3,5,4,2,6,7]=>[1,3,5,4,2,6]=>8
[1,3,5,4,2,7,6]=>[1,3,5,4,2,6]=>8
[1,3,5,4,6,2,7]=>[1,3,5,4,6,2]=>8
[1,3,5,4,6,7,2]=>[1,3,5,4,6,2]=>8
[1,3,5,4,7,2,6]=>[1,3,5,4,2,6]=>8
[1,3,5,4,7,6,2]=>[1,3,5,4,6,2]=>8
[1,3,5,6,2,4,7]=>[1,3,5,6,2,4]=>8
[1,3,5,6,2,7,4]=>[1,3,5,6,2,4]=>8
[1,3,5,6,4,2,7]=>[1,3,5,6,4,2]=>8
[1,3,5,6,4,7,2]=>[1,3,5,6,4,2]=>8
[1,3,5,6,7,2,4]=>[1,3,5,6,2,4]=>8
[1,3,5,6,7,4,2]=>[1,3,5,6,4,2]=>8
[1,3,5,7,2,4,6]=>[1,3,5,2,4,6]=>8
[1,3,5,7,2,6,4]=>[1,3,5,2,6,4]=>8
[1,3,5,7,4,2,6]=>[1,3,5,4,2,6]=>8
[1,3,5,7,4,6,2]=>[1,3,5,4,6,2]=>8
[1,3,5,7,6,2,4]=>[1,3,5,6,2,4]=>8
[1,3,5,7,6,4,2]=>[1,3,5,6,4,2]=>8
[1,3,6,2,4,5,7]=>[1,3,6,2,4,5]=>8
[1,3,6,2,4,7,5]=>[1,3,6,2,4,5]=>8
[1,3,6,2,5,4,7]=>[1,3,6,2,5,4]=>9
[1,3,6,2,5,7,4]=>[1,3,6,2,5,4]=>9
[1,3,6,2,7,4,5]=>[1,3,6,2,4,5]=>8
[1,3,6,2,7,5,4]=>[1,3,6,2,5,4]=>9
[1,3,6,4,2,5,7]=>[1,3,6,4,2,5]=>8
[1,3,6,4,2,7,5]=>[1,3,6,4,2,5]=>8
[1,3,6,4,5,2,7]=>[1,3,6,4,5,2]=>9
[1,3,6,4,5,7,2]=>[1,3,6,4,5,2]=>9
[1,3,6,4,7,2,5]=>[1,3,6,4,2,5]=>8
[1,3,6,4,7,5,2]=>[1,3,6,4,5,2]=>9
[1,3,6,5,2,4,7]=>[1,3,6,5,2,4]=>8
[1,3,6,5,2,7,4]=>[1,3,6,5,2,4]=>8
[1,3,6,5,4,2,7]=>[1,3,6,5,4,2]=>8
[1,3,6,5,4,7,2]=>[1,3,6,5,4,2]=>8
[1,3,6,5,7,2,4]=>[1,3,6,5,2,4]=>8
[1,3,6,5,7,4,2]=>[1,3,6,5,4,2]=>8
[1,3,6,7,2,4,5]=>[1,3,6,2,4,5]=>8
[1,3,6,7,2,5,4]=>[1,3,6,2,5,4]=>9
[1,3,6,7,4,2,5]=>[1,3,6,4,2,5]=>8
[1,3,6,7,4,5,2]=>[1,3,6,4,5,2]=>9
[1,3,6,7,5,2,4]=>[1,3,6,5,2,4]=>8
[1,3,6,7,5,4,2]=>[1,3,6,5,4,2]=>8
[1,3,7,2,4,5,6]=>[1,3,2,4,5,6]=>7
[1,3,7,2,4,6,5]=>[1,3,2,4,6,5]=>8
[1,3,7,2,5,4,6]=>[1,3,2,5,4,6]=>8
[1,3,7,2,5,6,4]=>[1,3,2,5,6,4]=>8
[1,3,7,2,6,4,5]=>[1,3,2,6,4,5]=>9
[1,3,7,2,6,5,4]=>[1,3,2,6,5,4]=>9
[1,3,7,4,2,5,6]=>[1,3,4,2,5,6]=>7
[1,3,7,4,2,6,5]=>[1,3,4,2,6,5]=>8
[1,3,7,4,5,2,6]=>[1,3,4,5,2,6]=>7
[1,3,7,4,5,6,2]=>[1,3,4,5,6,2]=>7
[1,3,7,4,6,2,5]=>[1,3,4,6,2,5]=>8
[1,3,7,4,6,5,2]=>[1,3,4,6,5,2]=>8
[1,3,7,5,2,4,6]=>[1,3,5,2,4,6]=>8
[1,3,7,5,2,6,4]=>[1,3,5,2,6,4]=>8
[1,3,7,5,4,2,6]=>[1,3,5,4,2,6]=>8
[1,3,7,5,4,6,2]=>[1,3,5,4,6,2]=>8
[1,3,7,5,6,2,4]=>[1,3,5,6,2,4]=>8
[1,3,7,5,6,4,2]=>[1,3,5,6,4,2]=>8
[1,3,7,6,2,4,5]=>[1,3,6,2,4,5]=>8
[1,3,7,6,2,5,4]=>[1,3,6,2,5,4]=>9
[1,3,7,6,4,2,5]=>[1,3,6,4,2,5]=>8
[1,3,7,6,4,5,2]=>[1,3,6,4,5,2]=>9
[1,3,7,6,5,2,4]=>[1,3,6,5,2,4]=>8
[1,3,7,6,5,4,2]=>[1,3,6,5,4,2]=>8
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6]=>7
[1,4,2,3,5,7,6]=>[1,4,2,3,5,6]=>7
[1,4,2,3,6,5,7]=>[1,4,2,3,6,5]=>8
[1,4,2,3,6,7,5]=>[1,4,2,3,6,5]=>8
[1,4,2,3,7,5,6]=>[1,4,2,3,5,6]=>7
[1,4,2,3,7,6,5]=>[1,4,2,3,6,5]=>8
[1,4,2,5,3,6,7]=>[1,4,2,5,3,6]=>8
[1,4,2,5,3,7,6]=>[1,4,2,5,3,6]=>8
[1,4,2,5,6,3,7]=>[1,4,2,5,6,3]=>8
[1,4,2,5,6,7,3]=>[1,4,2,5,6,3]=>8
[1,4,2,5,7,3,6]=>[1,4,2,5,3,6]=>8
[1,4,2,5,7,6,3]=>[1,4,2,5,6,3]=>8
[1,4,2,6,3,5,7]=>[1,4,2,6,3,5]=>9
[1,4,2,6,3,7,5]=>[1,4,2,6,3,5]=>9
[1,4,2,6,5,3,7]=>[1,4,2,6,5,3]=>9
[1,4,2,6,5,7,3]=>[1,4,2,6,5,3]=>9
[1,4,2,6,7,3,5]=>[1,4,2,6,3,5]=>9
[1,4,2,6,7,5,3]=>[1,4,2,6,5,3]=>9
[1,4,2,7,3,5,6]=>[1,4,2,3,5,6]=>7
[1,4,2,7,3,6,5]=>[1,4,2,3,6,5]=>8
[1,4,2,7,5,3,6]=>[1,4,2,5,3,6]=>8
[1,4,2,7,5,6,3]=>[1,4,2,5,6,3]=>8
[1,4,2,7,6,3,5]=>[1,4,2,6,3,5]=>9
[1,4,2,7,6,5,3]=>[1,4,2,6,5,3]=>9
[1,4,3,2,5,6,7]=>[1,4,3,2,5,6]=>7
[1,4,3,2,5,7,6]=>[1,4,3,2,5,6]=>7
[1,4,3,2,6,5,7]=>[1,4,3,2,6,5]=>8
[1,4,3,2,6,7,5]=>[1,4,3,2,6,5]=>8
[1,4,3,2,7,5,6]=>[1,4,3,2,5,6]=>7
[1,4,3,2,7,6,5]=>[1,4,3,2,6,5]=>8
[1,4,3,5,2,6,7]=>[1,4,3,5,2,6]=>8
[1,4,3,5,2,7,6]=>[1,4,3,5,2,6]=>8
[1,4,3,5,6,2,7]=>[1,4,3,5,6,2]=>8
[1,4,3,5,6,7,2]=>[1,4,3,5,6,2]=>8
[1,4,3,5,7,2,6]=>[1,4,3,5,2,6]=>8
[1,4,3,5,7,6,2]=>[1,4,3,5,6,2]=>8
[1,4,3,6,2,5,7]=>[1,4,3,6,2,5]=>9
[1,4,3,6,2,7,5]=>[1,4,3,6,2,5]=>9
[1,4,3,6,5,2,7]=>[1,4,3,6,5,2]=>9
[1,4,3,6,5,7,2]=>[1,4,3,6,5,2]=>9
[1,4,3,6,7,2,5]=>[1,4,3,6,2,5]=>9
[1,4,3,6,7,5,2]=>[1,4,3,6,5,2]=>9
[1,4,3,7,2,5,6]=>[1,4,3,2,5,6]=>7
[1,4,3,7,2,6,5]=>[1,4,3,2,6,5]=>8
[1,4,3,7,5,2,6]=>[1,4,3,5,2,6]=>8
[1,4,3,7,5,6,2]=>[1,4,3,5,6,2]=>8
[1,4,3,7,6,2,5]=>[1,4,3,6,2,5]=>9
[1,4,3,7,6,5,2]=>[1,4,3,6,5,2]=>9
[1,4,5,2,3,6,7]=>[1,4,5,2,3,6]=>8
[1,4,5,2,3,7,6]=>[1,4,5,2,3,6]=>8
[1,4,5,2,6,3,7]=>[1,4,5,2,6,3]=>8
[1,4,5,2,6,7,3]=>[1,4,5,2,6,3]=>8
[1,4,5,2,7,3,6]=>[1,4,5,2,3,6]=>8
[1,4,5,2,7,6,3]=>[1,4,5,2,6,3]=>8
[1,4,5,3,2,6,7]=>[1,4,5,3,2,6]=>8
[1,4,5,3,2,7,6]=>[1,4,5,3,2,6]=>8
[1,4,5,3,6,2,7]=>[1,4,5,3,6,2]=>8
[1,4,5,3,6,7,2]=>[1,4,5,3,6,2]=>8
[1,4,5,3,7,2,6]=>[1,4,5,3,2,6]=>8
[1,4,5,3,7,6,2]=>[1,4,5,3,6,2]=>8
[1,4,5,6,2,3,7]=>[1,4,5,6,2,3]=>8
[1,4,5,6,2,7,3]=>[1,4,5,6,2,3]=>8
[1,4,5,6,3,2,7]=>[1,4,5,6,3,2]=>8
[1,4,5,6,3,7,2]=>[1,4,5,6,3,2]=>8
[1,4,5,6,7,2,3]=>[1,4,5,6,2,3]=>8
[1,4,5,6,7,3,2]=>[1,4,5,6,3,2]=>8
[1,4,5,7,2,3,6]=>[1,4,5,2,3,6]=>8
[1,4,5,7,2,6,3]=>[1,4,5,2,6,3]=>8
[1,4,5,7,3,2,6]=>[1,4,5,3,2,6]=>8
[1,4,5,7,3,6,2]=>[1,4,5,3,6,2]=>8
[1,4,5,7,6,2,3]=>[1,4,5,6,2,3]=>8
[1,4,5,7,6,3,2]=>[1,4,5,6,3,2]=>8
[1,4,6,2,3,5,7]=>[1,4,6,2,3,5]=>8
[1,4,6,2,3,7,5]=>[1,4,6,2,3,5]=>8
[1,4,6,2,5,3,7]=>[1,4,6,2,5,3]=>9
[1,4,6,2,5,7,3]=>[1,4,6,2,5,3]=>9
[1,4,6,2,7,3,5]=>[1,4,6,2,3,5]=>8
[1,4,6,2,7,5,3]=>[1,4,6,2,5,3]=>9
[1,4,6,3,2,5,7]=>[1,4,6,3,2,5]=>8
[1,4,6,3,2,7,5]=>[1,4,6,3,2,5]=>8
[1,4,6,3,5,2,7]=>[1,4,6,3,5,2]=>9
[1,4,6,3,5,7,2]=>[1,4,6,3,5,2]=>9
[1,4,6,3,7,2,5]=>[1,4,6,3,2,5]=>8
[1,4,6,3,7,5,2]=>[1,4,6,3,5,2]=>9
[1,4,6,5,2,3,7]=>[1,4,6,5,2,3]=>8
[1,4,6,5,2,7,3]=>[1,4,6,5,2,3]=>8
[1,4,6,5,3,2,7]=>[1,4,6,5,3,2]=>8
[1,4,6,5,3,7,2]=>[1,4,6,5,3,2]=>8
[1,4,6,5,7,2,3]=>[1,4,6,5,2,3]=>8
[1,4,6,5,7,3,2]=>[1,4,6,5,3,2]=>8
[1,4,6,7,2,3,5]=>[1,4,6,2,3,5]=>8
[1,4,6,7,2,5,3]=>[1,4,6,2,5,3]=>9
[1,4,6,7,3,2,5]=>[1,4,6,3,2,5]=>8
[1,4,6,7,3,5,2]=>[1,4,6,3,5,2]=>9
[1,4,6,7,5,2,3]=>[1,4,6,5,2,3]=>8
[1,4,6,7,5,3,2]=>[1,4,6,5,3,2]=>8
[1,4,7,2,3,5,6]=>[1,4,2,3,5,6]=>7
[1,4,7,2,3,6,5]=>[1,4,2,3,6,5]=>8
[1,4,7,2,5,3,6]=>[1,4,2,5,3,6]=>8
[1,4,7,2,5,6,3]=>[1,4,2,5,6,3]=>8
[1,4,7,2,6,3,5]=>[1,4,2,6,3,5]=>9
[1,4,7,2,6,5,3]=>[1,4,2,6,5,3]=>9
[1,4,7,3,2,5,6]=>[1,4,3,2,5,6]=>7
[1,4,7,3,2,6,5]=>[1,4,3,2,6,5]=>8
[1,4,7,3,5,2,6]=>[1,4,3,5,2,6]=>8
[1,4,7,3,5,6,2]=>[1,4,3,5,6,2]=>8
[1,4,7,3,6,2,5]=>[1,4,3,6,2,5]=>9
[1,4,7,3,6,5,2]=>[1,4,3,6,5,2]=>9
[1,4,7,5,2,3,6]=>[1,4,5,2,3,6]=>8
[1,4,7,5,2,6,3]=>[1,4,5,2,6,3]=>8
[1,4,7,5,3,2,6]=>[1,4,5,3,2,6]=>8
[1,4,7,5,3,6,2]=>[1,4,5,3,6,2]=>8
[1,4,7,5,6,2,3]=>[1,4,5,6,2,3]=>8
[1,4,7,5,6,3,2]=>[1,4,5,6,3,2]=>8
[1,4,7,6,2,3,5]=>[1,4,6,2,3,5]=>8
[1,4,7,6,2,5,3]=>[1,4,6,2,5,3]=>9
[1,4,7,6,3,2,5]=>[1,4,6,3,2,5]=>8
[1,4,7,6,3,5,2]=>[1,4,6,3,5,2]=>9
[1,4,7,6,5,2,3]=>[1,4,6,5,2,3]=>8
[1,4,7,6,5,3,2]=>[1,4,6,5,3,2]=>8
[1,5,2,3,4,6,7]=>[1,5,2,3,4,6]=>7
[1,5,2,3,4,7,6]=>[1,5,2,3,4,6]=>7
[1,5,2,3,6,4,7]=>[1,5,2,3,6,4]=>8
[1,5,2,3,6,7,4]=>[1,5,2,3,6,4]=>8
[1,5,2,3,7,4,6]=>[1,5,2,3,4,6]=>7
[1,5,2,3,7,6,4]=>[1,5,2,3,6,4]=>8
[1,5,2,4,3,6,7]=>[1,5,2,4,3,6]=>8
[1,5,2,4,3,7,6]=>[1,5,2,4,3,6]=>8
[1,5,2,4,6,3,7]=>[1,5,2,4,6,3]=>8
[1,5,2,4,6,7,3]=>[1,5,2,4,6,3]=>8
[1,5,2,4,7,3,6]=>[1,5,2,4,3,6]=>8
[1,5,2,4,7,6,3]=>[1,5,2,4,6,3]=>8
[1,5,2,6,3,4,7]=>[1,5,2,6,3,4]=>9
[1,5,2,6,3,7,4]=>[1,5,2,6,3,4]=>9
[1,5,2,6,4,3,7]=>[1,5,2,6,4,3]=>9
[1,5,2,6,4,7,3]=>[1,5,2,6,4,3]=>9
[1,5,2,6,7,3,4]=>[1,5,2,6,3,4]=>9
[1,5,2,6,7,4,3]=>[1,5,2,6,4,3]=>9
[1,5,2,7,3,4,6]=>[1,5,2,3,4,6]=>7
[1,5,2,7,3,6,4]=>[1,5,2,3,6,4]=>8
[1,5,2,7,4,3,6]=>[1,5,2,4,3,6]=>8
[1,5,2,7,4,6,3]=>[1,5,2,4,6,3]=>8
[1,5,2,7,6,3,4]=>[1,5,2,6,3,4]=>9
[1,5,2,7,6,4,3]=>[1,5,2,6,4,3]=>9
[1,5,3,2,4,6,7]=>[1,5,3,2,4,6]=>7
[1,5,3,2,4,7,6]=>[1,5,3,2,4,6]=>7
[1,5,3,2,6,4,7]=>[1,5,3,2,6,4]=>8
[1,5,3,2,6,7,4]=>[1,5,3,2,6,4]=>8
[1,5,3,2,7,4,6]=>[1,5,3,2,4,6]=>7
[1,5,3,2,7,6,4]=>[1,5,3,2,6,4]=>8
[1,5,3,4,2,6,7]=>[1,5,3,4,2,6]=>8
[1,5,3,4,2,7,6]=>[1,5,3,4,2,6]=>8
[1,5,3,4,6,2,7]=>[1,5,3,4,6,2]=>8
[1,5,3,4,6,7,2]=>[1,5,3,4,6,2]=>8
[1,5,3,4,7,2,6]=>[1,5,3,4,2,6]=>8
[1,5,3,4,7,6,2]=>[1,5,3,4,6,2]=>8
[1,5,3,6,2,4,7]=>[1,5,3,6,2,4]=>9
[1,5,3,6,2,7,4]=>[1,5,3,6,2,4]=>9
[1,5,3,6,4,2,7]=>[1,5,3,6,4,2]=>9
[1,5,3,6,4,7,2]=>[1,5,3,6,4,2]=>9
[1,5,3,6,7,2,4]=>[1,5,3,6,2,4]=>9
[1,5,3,6,7,4,2]=>[1,5,3,6,4,2]=>9
[1,5,3,7,2,4,6]=>[1,5,3,2,4,6]=>7
[1,5,3,7,2,6,4]=>[1,5,3,2,6,4]=>8
[1,5,3,7,4,2,6]=>[1,5,3,4,2,6]=>8
[1,5,3,7,4,6,2]=>[1,5,3,4,6,2]=>8
[1,5,3,7,6,2,4]=>[1,5,3,6,2,4]=>9
[1,5,3,7,6,4,2]=>[1,5,3,6,4,2]=>9
[1,5,4,2,3,6,7]=>[1,5,4,2,3,6]=>7
[1,5,4,2,3,7,6]=>[1,5,4,2,3,6]=>7
[1,5,4,2,6,3,7]=>[1,5,4,2,6,3]=>8
[1,5,4,2,6,7,3]=>[1,5,4,2,6,3]=>8
[1,5,4,2,7,3,6]=>[1,5,4,2,3,6]=>7
[1,5,4,2,7,6,3]=>[1,5,4,2,6,3]=>8
[1,5,4,3,2,6,7]=>[1,5,4,3,2,6]=>7
[1,5,4,3,2,7,6]=>[1,5,4,3,2,6]=>7
[1,5,4,3,6,2,7]=>[1,5,4,3,6,2]=>8
[1,5,4,3,6,7,2]=>[1,5,4,3,6,2]=>8
[1,5,4,3,7,2,6]=>[1,5,4,3,2,6]=>7
[1,5,4,3,7,6,2]=>[1,5,4,3,6,2]=>8
[1,5,4,6,2,3,7]=>[1,5,4,6,2,3]=>9
[1,5,4,6,2,7,3]=>[1,5,4,6,2,3]=>9
[1,5,4,6,3,2,7]=>[1,5,4,6,3,2]=>9
[1,5,4,6,3,7,2]=>[1,5,4,6,3,2]=>9
[1,5,4,6,7,2,3]=>[1,5,4,6,2,3]=>9
[1,5,4,6,7,3,2]=>[1,5,4,6,3,2]=>9
[1,5,4,7,2,3,6]=>[1,5,4,2,3,6]=>7
[1,5,4,7,2,6,3]=>[1,5,4,2,6,3]=>8
[1,5,4,7,3,2,6]=>[1,5,4,3,2,6]=>7
[1,5,4,7,3,6,2]=>[1,5,4,3,6,2]=>8
[1,5,4,7,6,2,3]=>[1,5,4,6,2,3]=>9
[1,5,4,7,6,3,2]=>[1,5,4,6,3,2]=>9
[1,5,6,2,3,4,7]=>[1,5,6,2,3,4]=>8
[1,5,6,2,3,7,4]=>[1,5,6,2,3,4]=>8
[1,5,6,2,4,3,7]=>[1,5,6,2,4,3]=>9
[1,5,6,2,4,7,3]=>[1,5,6,2,4,3]=>9
[1,5,6,2,7,3,4]=>[1,5,6,2,3,4]=>8
[1,5,6,2,7,4,3]=>[1,5,6,2,4,3]=>9
[1,5,6,3,2,4,7]=>[1,5,6,3,2,4]=>8
[1,5,6,3,2,7,4]=>[1,5,6,3,2,4]=>8
[1,5,6,3,4,2,7]=>[1,5,6,3,4,2]=>9
[1,5,6,3,4,7,2]=>[1,5,6,3,4,2]=>9
[1,5,6,3,7,2,4]=>[1,5,6,3,2,4]=>8
[1,5,6,3,7,4,2]=>[1,5,6,3,4,2]=>9
[1,5,6,4,2,3,7]=>[1,5,6,4,2,3]=>8
[1,5,6,4,2,7,3]=>[1,5,6,4,2,3]=>8
[1,5,6,4,3,2,7]=>[1,5,6,4,3,2]=>8
[1,5,6,4,3,7,2]=>[1,5,6,4,3,2]=>8
[1,5,6,4,7,2,3]=>[1,5,6,4,2,3]=>8
[1,5,6,4,7,3,2]=>[1,5,6,4,3,2]=>8
[1,5,6,7,2,3,4]=>[1,5,6,2,3,4]=>8
[1,5,6,7,2,4,3]=>[1,5,6,2,4,3]=>9
[1,5,6,7,3,2,4]=>[1,5,6,3,2,4]=>8
[1,5,6,7,3,4,2]=>[1,5,6,3,4,2]=>9
[1,5,6,7,4,2,3]=>[1,5,6,4,2,3]=>8
[1,5,6,7,4,3,2]=>[1,5,6,4,3,2]=>8
[1,5,7,2,3,4,6]=>[1,5,2,3,4,6]=>7
[1,5,7,2,3,6,4]=>[1,5,2,3,6,4]=>8
[1,5,7,2,4,3,6]=>[1,5,2,4,3,6]=>8
[1,5,7,2,4,6,3]=>[1,5,2,4,6,3]=>8
[1,5,7,2,6,3,4]=>[1,5,2,6,3,4]=>9
[1,5,7,2,6,4,3]=>[1,5,2,6,4,3]=>9
[1,5,7,3,2,4,6]=>[1,5,3,2,4,6]=>7
[1,5,7,3,2,6,4]=>[1,5,3,2,6,4]=>8
[1,5,7,3,4,2,6]=>[1,5,3,4,2,6]=>8
[1,5,7,3,4,6,2]=>[1,5,3,4,6,2]=>8
[1,5,7,3,6,2,4]=>[1,5,3,6,2,4]=>9
[1,5,7,3,6,4,2]=>[1,5,3,6,4,2]=>9
[1,5,7,4,2,3,6]=>[1,5,4,2,3,6]=>7
[1,5,7,4,2,6,3]=>[1,5,4,2,6,3]=>8
[1,5,7,4,3,2,6]=>[1,5,4,3,2,6]=>7
[1,5,7,4,3,6,2]=>[1,5,4,3,6,2]=>8
[1,5,7,4,6,2,3]=>[1,5,4,6,2,3]=>9
[1,5,7,4,6,3,2]=>[1,5,4,6,3,2]=>9
[1,5,7,6,2,3,4]=>[1,5,6,2,3,4]=>8
[1,5,7,6,2,4,3]=>[1,5,6,2,4,3]=>9
[1,5,7,6,3,2,4]=>[1,5,6,3,2,4]=>8
[1,5,7,6,3,4,2]=>[1,5,6,3,4,2]=>9
[1,5,7,6,4,2,3]=>[1,5,6,4,2,3]=>8
[1,5,7,6,4,3,2]=>[1,5,6,4,3,2]=>8
[1,6,2,3,4,5,7]=>[1,6,2,3,4,5]=>7
[1,6,2,3,4,7,5]=>[1,6,2,3,4,5]=>7
[1,6,2,3,5,4,7]=>[1,6,2,3,5,4]=>8
[1,6,2,3,5,7,4]=>[1,6,2,3,5,4]=>8
[1,6,2,3,7,4,5]=>[1,6,2,3,4,5]=>7
[1,6,2,3,7,5,4]=>[1,6,2,3,5,4]=>8
[1,6,2,4,3,5,7]=>[1,6,2,4,3,5]=>8
[1,6,2,4,3,7,5]=>[1,6,2,4,3,5]=>8
[1,6,2,4,5,3,7]=>[1,6,2,4,5,3]=>8
[1,6,2,4,5,7,3]=>[1,6,2,4,5,3]=>8
[1,6,2,4,7,3,5]=>[1,6,2,4,3,5]=>8
[1,6,2,4,7,5,3]=>[1,6,2,4,5,3]=>8
[1,6,2,5,3,4,7]=>[1,6,2,5,3,4]=>8
[1,6,2,5,3,7,4]=>[1,6,2,5,3,4]=>8
[1,6,2,5,4,3,7]=>[1,6,2,5,4,3]=>8
[1,6,2,5,4,7,3]=>[1,6,2,5,4,3]=>8
[1,6,2,5,7,3,4]=>[1,6,2,5,3,4]=>8
[1,6,2,5,7,4,3]=>[1,6,2,5,4,3]=>8
[1,6,2,7,3,4,5]=>[1,6,2,3,4,5]=>7
[1,6,2,7,3,5,4]=>[1,6,2,3,5,4]=>8
[1,6,2,7,4,3,5]=>[1,6,2,4,3,5]=>8
[1,6,2,7,4,5,3]=>[1,6,2,4,5,3]=>8
[1,6,2,7,5,3,4]=>[1,6,2,5,3,4]=>8
[1,6,2,7,5,4,3]=>[1,6,2,5,4,3]=>8
[1,6,3,2,4,5,7]=>[1,6,3,2,4,5]=>7
[1,6,3,2,4,7,5]=>[1,6,3,2,4,5]=>7
[1,6,3,2,5,4,7]=>[1,6,3,2,5,4]=>8
[1,6,3,2,5,7,4]=>[1,6,3,2,5,4]=>8
[1,6,3,2,7,4,5]=>[1,6,3,2,4,5]=>7
[1,6,3,2,7,5,4]=>[1,6,3,2,5,4]=>8
[1,6,3,4,2,5,7]=>[1,6,3,4,2,5]=>8
[1,6,3,4,2,7,5]=>[1,6,3,4,2,5]=>8
[1,6,3,4,5,2,7]=>[1,6,3,4,5,2]=>8
[1,6,3,4,5,7,2]=>[1,6,3,4,5,2]=>8
[1,6,3,4,7,2,5]=>[1,6,3,4,2,5]=>8
[1,6,3,4,7,5,2]=>[1,6,3,4,5,2]=>8
[1,6,3,5,2,4,7]=>[1,6,3,5,2,4]=>8
[1,6,3,5,2,7,4]=>[1,6,3,5,2,4]=>8
[1,6,3,5,4,2,7]=>[1,6,3,5,4,2]=>8
[1,6,3,5,4,7,2]=>[1,6,3,5,4,2]=>8
[1,6,3,5,7,2,4]=>[1,6,3,5,2,4]=>8
[1,6,3,5,7,4,2]=>[1,6,3,5,4,2]=>8
[1,6,3,7,2,4,5]=>[1,6,3,2,4,5]=>7
[1,6,3,7,2,5,4]=>[1,6,3,2,5,4]=>8
[1,6,3,7,4,2,5]=>[1,6,3,4,2,5]=>8
[1,6,3,7,4,5,2]=>[1,6,3,4,5,2]=>8
[1,6,3,7,5,2,4]=>[1,6,3,5,2,4]=>8
[1,6,3,7,5,4,2]=>[1,6,3,5,4,2]=>8
[1,6,4,2,3,5,7]=>[1,6,4,2,3,5]=>7
[1,6,4,2,3,7,5]=>[1,6,4,2,3,5]=>7
[1,6,4,2,5,3,7]=>[1,6,4,2,5,3]=>8
[1,6,4,2,5,7,3]=>[1,6,4,2,5,3]=>8
[1,6,4,2,7,3,5]=>[1,6,4,2,3,5]=>7
[1,6,4,2,7,5,3]=>[1,6,4,2,5,3]=>8
[1,6,4,3,2,5,7]=>[1,6,4,3,2,5]=>7
[1,6,4,3,2,7,5]=>[1,6,4,3,2,5]=>7
[1,6,4,3,5,2,7]=>[1,6,4,3,5,2]=>8
[1,6,4,3,5,7,2]=>[1,6,4,3,5,2]=>8
[1,6,4,3,7,2,5]=>[1,6,4,3,2,5]=>7
[1,6,4,3,7,5,2]=>[1,6,4,3,5,2]=>8
[1,6,4,5,2,3,7]=>[1,6,4,5,2,3]=>8
[1,6,4,5,2,7,3]=>[1,6,4,5,2,3]=>8
[1,6,4,5,3,2,7]=>[1,6,4,5,3,2]=>8
[1,6,4,5,3,7,2]=>[1,6,4,5,3,2]=>8
[1,6,4,5,7,2,3]=>[1,6,4,5,2,3]=>8
[1,6,4,5,7,3,2]=>[1,6,4,5,3,2]=>8
[1,6,4,7,2,3,5]=>[1,6,4,2,3,5]=>7
[1,6,4,7,2,5,3]=>[1,6,4,2,5,3]=>8
[1,6,4,7,3,2,5]=>[1,6,4,3,2,5]=>7
[1,6,4,7,3,5,2]=>[1,6,4,3,5,2]=>8
[1,6,4,7,5,2,3]=>[1,6,4,5,2,3]=>8
[1,6,4,7,5,3,2]=>[1,6,4,5,3,2]=>8
[1,6,5,2,3,4,7]=>[1,6,5,2,3,4]=>7
[1,6,5,2,3,7,4]=>[1,6,5,2,3,4]=>7
[1,6,5,2,4,3,7]=>[1,6,5,2,4,3]=>8
[1,6,5,2,4,7,3]=>[1,6,5,2,4,3]=>8
[1,6,5,2,7,3,4]=>[1,6,5,2,3,4]=>7
[1,6,5,2,7,4,3]=>[1,6,5,2,4,3]=>8
[1,6,5,3,2,4,7]=>[1,6,5,3,2,4]=>7
[1,6,5,3,2,7,4]=>[1,6,5,3,2,4]=>7
[1,6,5,3,4,2,7]=>[1,6,5,3,4,2]=>8
[1,6,5,3,4,7,2]=>[1,6,5,3,4,2]=>8
[1,6,5,3,7,2,4]=>[1,6,5,3,2,4]=>7
[1,6,5,3,7,4,2]=>[1,6,5,3,4,2]=>8
[1,6,5,4,2,3,7]=>[1,6,5,4,2,3]=>7
[1,6,5,4,2,7,3]=>[1,6,5,4,2,3]=>7
[1,6,5,4,3,2,7]=>[1,6,5,4,3,2]=>7
[1,6,5,4,3,7,2]=>[1,6,5,4,3,2]=>7
[1,6,5,4,7,2,3]=>[1,6,5,4,2,3]=>7
[1,6,5,4,7,3,2]=>[1,6,5,4,3,2]=>7
[1,6,5,7,2,3,4]=>[1,6,5,2,3,4]=>7
[1,6,5,7,2,4,3]=>[1,6,5,2,4,3]=>8
[1,6,5,7,3,2,4]=>[1,6,5,3,2,4]=>7
[1,6,5,7,3,4,2]=>[1,6,5,3,4,2]=>8
[1,6,5,7,4,2,3]=>[1,6,5,4,2,3]=>7
[1,6,5,7,4,3,2]=>[1,6,5,4,3,2]=>7
[1,6,7,2,3,4,5]=>[1,6,2,3,4,5]=>7
[1,6,7,2,3,5,4]=>[1,6,2,3,5,4]=>8
[1,6,7,2,4,3,5]=>[1,6,2,4,3,5]=>8
[1,6,7,2,4,5,3]=>[1,6,2,4,5,3]=>8
[1,6,7,2,5,3,4]=>[1,6,2,5,3,4]=>8
[1,6,7,2,5,4,3]=>[1,6,2,5,4,3]=>8
[1,6,7,3,2,4,5]=>[1,6,3,2,4,5]=>7
[1,6,7,3,2,5,4]=>[1,6,3,2,5,4]=>8
[1,6,7,3,4,2,5]=>[1,6,3,4,2,5]=>8
[1,6,7,3,4,5,2]=>[1,6,3,4,5,2]=>8
[1,6,7,3,5,2,4]=>[1,6,3,5,2,4]=>8
[1,6,7,3,5,4,2]=>[1,6,3,5,4,2]=>8
[1,6,7,4,2,3,5]=>[1,6,4,2,3,5]=>7
[1,6,7,4,2,5,3]=>[1,6,4,2,5,3]=>8
[1,6,7,4,3,2,5]=>[1,6,4,3,2,5]=>7
[1,6,7,4,3,5,2]=>[1,6,4,3,5,2]=>8
[1,6,7,4,5,2,3]=>[1,6,4,5,2,3]=>8
[1,6,7,4,5,3,2]=>[1,6,4,5,3,2]=>8
[1,6,7,5,2,3,4]=>[1,6,5,2,3,4]=>7
[1,6,7,5,2,4,3]=>[1,6,5,2,4,3]=>8
[1,6,7,5,3,2,4]=>[1,6,5,3,2,4]=>7
[1,6,7,5,3,4,2]=>[1,6,5,3,4,2]=>8
[1,6,7,5,4,2,3]=>[1,6,5,4,2,3]=>7
[1,6,7,5,4,3,2]=>[1,6,5,4,3,2]=>7
[1,7,2,3,4,5,6]=>[1,2,3,4,5,6]=>6
[1,7,2,3,4,6,5]=>[1,2,3,4,6,5]=>7
[1,7,2,3,5,4,6]=>[1,2,3,5,4,6]=>7
[1,7,2,3,5,6,4]=>[1,2,3,5,6,4]=>7
[1,7,2,3,6,4,5]=>[1,2,3,6,4,5]=>8
[1,7,2,3,6,5,4]=>[1,2,3,6,5,4]=>8
[1,7,2,4,3,5,6]=>[1,2,4,3,5,6]=>7
[1,7,2,4,3,6,5]=>[1,2,4,3,6,5]=>8
[1,7,2,4,5,3,6]=>[1,2,4,5,3,6]=>7
[1,7,2,4,5,6,3]=>[1,2,4,5,6,3]=>7
[1,7,2,4,6,3,5]=>[1,2,4,6,3,5]=>8
[1,7,2,4,6,5,3]=>[1,2,4,6,5,3]=>8
[1,7,2,5,3,4,6]=>[1,2,5,3,4,6]=>8
[1,7,2,5,3,6,4]=>[1,2,5,3,6,4]=>8
[1,7,2,5,4,3,6]=>[1,2,5,4,3,6]=>8
[1,7,2,5,4,6,3]=>[1,2,5,4,6,3]=>8
[1,7,2,5,6,3,4]=>[1,2,5,6,3,4]=>8
[1,7,2,5,6,4,3]=>[1,2,5,6,4,3]=>8
[1,7,2,6,3,4,5]=>[1,2,6,3,4,5]=>8
[1,7,2,6,3,5,4]=>[1,2,6,3,5,4]=>9
[1,7,2,6,4,3,5]=>[1,2,6,4,3,5]=>8
[1,7,2,6,4,5,3]=>[1,2,6,4,5,3]=>9
[1,7,2,6,5,3,4]=>[1,2,6,5,3,4]=>8
[1,7,2,6,5,4,3]=>[1,2,6,5,4,3]=>8
[1,7,3,2,4,5,6]=>[1,3,2,4,5,6]=>7
[1,7,3,2,4,6,5]=>[1,3,2,4,6,5]=>8
[1,7,3,2,5,4,6]=>[1,3,2,5,4,6]=>8
[1,7,3,2,5,6,4]=>[1,3,2,5,6,4]=>8
[1,7,3,2,6,4,5]=>[1,3,2,6,4,5]=>9
[1,7,3,2,6,5,4]=>[1,3,2,6,5,4]=>9
[1,7,3,4,2,5,6]=>[1,3,4,2,5,6]=>7
[1,7,3,4,2,6,5]=>[1,3,4,2,6,5]=>8
[1,7,3,4,5,2,6]=>[1,3,4,5,2,6]=>7
[1,7,3,4,5,6,2]=>[1,3,4,5,6,2]=>7
[1,7,3,4,6,2,5]=>[1,3,4,6,2,5]=>8
[1,7,3,4,6,5,2]=>[1,3,4,6,5,2]=>8
[1,7,3,5,2,4,6]=>[1,3,5,2,4,6]=>8
[1,7,3,5,2,6,4]=>[1,3,5,2,6,4]=>8
[1,7,3,5,4,2,6]=>[1,3,5,4,2,6]=>8
[1,7,3,5,4,6,2]=>[1,3,5,4,6,2]=>8
[1,7,3,5,6,2,4]=>[1,3,5,6,2,4]=>8
[1,7,3,5,6,4,2]=>[1,3,5,6,4,2]=>8
[1,7,3,6,2,4,5]=>[1,3,6,2,4,5]=>8
[1,7,3,6,2,5,4]=>[1,3,6,2,5,4]=>9
[1,7,3,6,4,2,5]=>[1,3,6,4,2,5]=>8
[1,7,3,6,4,5,2]=>[1,3,6,4,5,2]=>9
[1,7,3,6,5,2,4]=>[1,3,6,5,2,4]=>8
[1,7,3,6,5,4,2]=>[1,3,6,5,4,2]=>8
[1,7,4,2,3,5,6]=>[1,4,2,3,5,6]=>7
[1,7,4,2,3,6,5]=>[1,4,2,3,6,5]=>8
[1,7,4,2,5,3,6]=>[1,4,2,5,3,6]=>8
[1,7,4,2,5,6,3]=>[1,4,2,5,6,3]=>8
[1,7,4,2,6,3,5]=>[1,4,2,6,3,5]=>9
[1,7,4,2,6,5,3]=>[1,4,2,6,5,3]=>9
[1,7,4,3,2,5,6]=>[1,4,3,2,5,6]=>7
[1,7,4,3,2,6,5]=>[1,4,3,2,6,5]=>8
[1,7,4,3,5,2,6]=>[1,4,3,5,2,6]=>8
[1,7,4,3,5,6,2]=>[1,4,3,5,6,2]=>8
[1,7,4,3,6,2,5]=>[1,4,3,6,2,5]=>9
[1,7,4,3,6,5,2]=>[1,4,3,6,5,2]=>9
[1,7,4,5,2,3,6]=>[1,4,5,2,3,6]=>8
[1,7,4,5,2,6,3]=>[1,4,5,2,6,3]=>8
[1,7,4,5,3,2,6]=>[1,4,5,3,2,6]=>8
[1,7,4,5,3,6,2]=>[1,4,5,3,6,2]=>8
[1,7,4,5,6,2,3]=>[1,4,5,6,2,3]=>8
[1,7,4,5,6,3,2]=>[1,4,5,6,3,2]=>8
[1,7,4,6,2,3,5]=>[1,4,6,2,3,5]=>8
[1,7,4,6,2,5,3]=>[1,4,6,2,5,3]=>9
[1,7,4,6,3,2,5]=>[1,4,6,3,2,5]=>8
[1,7,4,6,3,5,2]=>[1,4,6,3,5,2]=>9
[1,7,4,6,5,2,3]=>[1,4,6,5,2,3]=>8
[1,7,4,6,5,3,2]=>[1,4,6,5,3,2]=>8
[1,7,5,2,3,4,6]=>[1,5,2,3,4,6]=>7
[1,7,5,2,3,6,4]=>[1,5,2,3,6,4]=>8
[1,7,5,2,4,3,6]=>[1,5,2,4,3,6]=>8
[1,7,5,2,4,6,3]=>[1,5,2,4,6,3]=>8
[1,7,5,2,6,3,4]=>[1,5,2,6,3,4]=>9
[1,7,5,2,6,4,3]=>[1,5,2,6,4,3]=>9
[1,7,5,3,2,4,6]=>[1,5,3,2,4,6]=>7
[1,7,5,3,2,6,4]=>[1,5,3,2,6,4]=>8
[1,7,5,3,4,2,6]=>[1,5,3,4,2,6]=>8
[1,7,5,3,4,6,2]=>[1,5,3,4,6,2]=>8
[1,7,5,3,6,2,4]=>[1,5,3,6,2,4]=>9
[1,7,5,3,6,4,2]=>[1,5,3,6,4,2]=>9
[1,7,5,4,2,3,6]=>[1,5,4,2,3,6]=>7
[1,7,5,4,2,6,3]=>[1,5,4,2,6,3]=>8
[1,7,5,4,3,2,6]=>[1,5,4,3,2,6]=>7
[1,7,5,4,3,6,2]=>[1,5,4,3,6,2]=>8
[1,7,5,4,6,2,3]=>[1,5,4,6,2,3]=>9
[1,7,5,4,6,3,2]=>[1,5,4,6,3,2]=>9
[1,7,5,6,2,3,4]=>[1,5,6,2,3,4]=>8
[1,7,5,6,2,4,3]=>[1,5,6,2,4,3]=>9
[1,7,5,6,3,2,4]=>[1,5,6,3,2,4]=>8
[1,7,5,6,3,4,2]=>[1,5,6,3,4,2]=>9
[1,7,5,6,4,2,3]=>[1,5,6,4,2,3]=>8
[1,7,5,6,4,3,2]=>[1,5,6,4,3,2]=>8
[1,7,6,2,3,4,5]=>[1,6,2,3,4,5]=>7
[1,7,6,2,3,5,4]=>[1,6,2,3,5,4]=>8
[1,7,6,2,4,3,5]=>[1,6,2,4,3,5]=>8
[1,7,6,2,4,5,3]=>[1,6,2,4,5,3]=>8
[1,7,6,2,5,3,4]=>[1,6,2,5,3,4]=>8
[1,7,6,2,5,4,3]=>[1,6,2,5,4,3]=>8
[1,7,6,3,2,4,5]=>[1,6,3,2,4,5]=>7
[1,7,6,3,2,5,4]=>[1,6,3,2,5,4]=>8
[1,7,6,3,4,2,5]=>[1,6,3,4,2,5]=>8
[1,7,6,3,4,5,2]=>[1,6,3,4,5,2]=>8
[1,7,6,3,5,2,4]=>[1,6,3,5,2,4]=>8
[1,7,6,3,5,4,2]=>[1,6,3,5,4,2]=>8
[1,7,6,4,2,3,5]=>[1,6,4,2,3,5]=>7
[1,7,6,4,2,5,3]=>[1,6,4,2,5,3]=>8
[1,7,6,4,3,2,5]=>[1,6,4,3,2,5]=>7
[1,7,6,4,3,5,2]=>[1,6,4,3,5,2]=>8
[1,7,6,4,5,2,3]=>[1,6,4,5,2,3]=>8
[1,7,6,4,5,3,2]=>[1,6,4,5,3,2]=>8
[1,7,6,5,2,3,4]=>[1,6,5,2,3,4]=>7
[1,7,6,5,2,4,3]=>[1,6,5,2,4,3]=>8
[1,7,6,5,3,2,4]=>[1,6,5,3,2,4]=>7
[1,7,6,5,3,4,2]=>[1,6,5,3,4,2]=>8
[1,7,6,5,4,2,3]=>[1,6,5,4,2,3]=>7
[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>7
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6]=>6
[2,1,3,4,5,7,6]=>[2,1,3,4,5,6]=>6
[2,1,3,4,6,5,7]=>[2,1,3,4,6,5]=>7
[2,1,3,4,6,7,5]=>[2,1,3,4,6,5]=>7
[2,1,3,4,7,5,6]=>[2,1,3,4,5,6]=>6
[2,1,3,4,7,6,5]=>[2,1,3,4,6,5]=>7
[2,1,3,5,4,6,7]=>[2,1,3,5,4,6]=>7
[2,1,3,5,4,7,6]=>[2,1,3,5,4,6]=>7
[2,1,3,5,6,4,7]=>[2,1,3,5,6,4]=>7
[2,1,3,5,6,7,4]=>[2,1,3,5,6,4]=>7
[2,1,3,5,7,4,6]=>[2,1,3,5,4,6]=>7
[2,1,3,5,7,6,4]=>[2,1,3,5,6,4]=>7
[2,1,3,6,4,5,7]=>[2,1,3,6,4,5]=>8
[2,1,3,6,4,7,5]=>[2,1,3,6,4,5]=>8
[2,1,3,6,5,4,7]=>[2,1,3,6,5,4]=>8
[2,1,3,6,5,7,4]=>[2,1,3,6,5,4]=>8
[2,1,3,6,7,4,5]=>[2,1,3,6,4,5]=>8
[2,1,3,6,7,5,4]=>[2,1,3,6,5,4]=>8
[2,1,3,7,4,5,6]=>[2,1,3,4,5,6]=>6
[2,1,3,7,4,6,5]=>[2,1,3,4,6,5]=>7
[2,1,3,7,5,4,6]=>[2,1,3,5,4,6]=>7
[2,1,3,7,5,6,4]=>[2,1,3,5,6,4]=>7
[2,1,3,7,6,4,5]=>[2,1,3,6,4,5]=>8
[2,1,3,7,6,5,4]=>[2,1,3,6,5,4]=>8
[2,1,4,3,5,6,7]=>[2,1,4,3,5,6]=>7
[2,1,4,3,5,7,6]=>[2,1,4,3,5,6]=>7
[2,1,4,3,6,5,7]=>[2,1,4,3,6,5]=>8
[2,1,4,3,6,7,5]=>[2,1,4,3,6,5]=>8
[2,1,4,3,7,5,6]=>[2,1,4,3,5,6]=>7
[2,1,4,3,7,6,5]=>[2,1,4,3,6,5]=>8
[2,1,4,5,3,6,7]=>[2,1,4,5,3,6]=>7
[2,1,4,5,3,7,6]=>[2,1,4,5,3,6]=>7
[2,1,4,5,6,3,7]=>[2,1,4,5,6,3]=>7
[2,1,4,5,6,7,3]=>[2,1,4,5,6,3]=>7
[2,1,4,5,7,3,6]=>[2,1,4,5,3,6]=>7
[2,1,4,5,7,6,3]=>[2,1,4,5,6,3]=>7
[2,1,4,6,3,5,7]=>[2,1,4,6,3,5]=>8
[2,1,4,6,3,7,5]=>[2,1,4,6,3,5]=>8
[2,1,4,6,5,3,7]=>[2,1,4,6,5,3]=>8
[2,1,4,6,5,7,3]=>[2,1,4,6,5,3]=>8
[2,1,4,6,7,3,5]=>[2,1,4,6,3,5]=>8
[2,1,4,6,7,5,3]=>[2,1,4,6,5,3]=>8
[2,1,4,7,3,5,6]=>[2,1,4,3,5,6]=>7
[2,1,4,7,3,6,5]=>[2,1,4,3,6,5]=>8
[2,1,4,7,5,3,6]=>[2,1,4,5,3,6]=>7
[2,1,4,7,5,6,3]=>[2,1,4,5,6,3]=>7
[2,1,4,7,6,3,5]=>[2,1,4,6,3,5]=>8
[2,1,4,7,6,5,3]=>[2,1,4,6,5,3]=>8
[2,1,5,3,4,6,7]=>[2,1,5,3,4,6]=>8
[2,1,5,3,4,7,6]=>[2,1,5,3,4,6]=>8
[2,1,5,3,6,4,7]=>[2,1,5,3,6,4]=>8
[2,1,5,3,6,7,4]=>[2,1,5,3,6,4]=>8
[2,1,5,3,7,4,6]=>[2,1,5,3,4,6]=>8
[2,1,5,3,7,6,4]=>[2,1,5,3,6,4]=>8
[2,1,5,4,3,6,7]=>[2,1,5,4,3,6]=>8
[2,1,5,4,3,7,6]=>[2,1,5,4,3,6]=>8
[2,1,5,4,6,3,7]=>[2,1,5,4,6,3]=>8
[2,1,5,4,6,7,3]=>[2,1,5,4,6,3]=>8
[2,1,5,4,7,3,6]=>[2,1,5,4,3,6]=>8
[2,1,5,4,7,6,3]=>[2,1,5,4,6,3]=>8
[2,1,5,6,3,4,7]=>[2,1,5,6,3,4]=>8
[2,1,5,6,3,7,4]=>[2,1,5,6,3,4]=>8
[2,1,5,6,4,3,7]=>[2,1,5,6,4,3]=>8
[2,1,5,6,4,7,3]=>[2,1,5,6,4,3]=>8
[2,1,5,6,7,3,4]=>[2,1,5,6,3,4]=>8
[2,1,5,6,7,4,3]=>[2,1,5,6,4,3]=>8
[2,1,5,7,3,4,6]=>[2,1,5,3,4,6]=>8
[2,1,5,7,3,6,4]=>[2,1,5,3,6,4]=>8
[2,1,5,7,4,3,6]=>[2,1,5,4,3,6]=>8
[2,1,5,7,4,6,3]=>[2,1,5,4,6,3]=>8
[2,1,5,7,6,3,4]=>[2,1,5,6,3,4]=>8
[2,1,5,7,6,4,3]=>[2,1,5,6,4,3]=>8
[2,1,6,3,4,5,7]=>[2,1,6,3,4,5]=>8
[2,1,6,3,4,7,5]=>[2,1,6,3,4,5]=>8
[2,1,6,3,5,4,7]=>[2,1,6,3,5,4]=>9
[2,1,6,3,5,7,4]=>[2,1,6,3,5,4]=>9
[2,1,6,3,7,4,5]=>[2,1,6,3,4,5]=>8
[2,1,6,3,7,5,4]=>[2,1,6,3,5,4]=>9
[2,1,6,4,3,5,7]=>[2,1,6,4,3,5]=>8
[2,1,6,4,3,7,5]=>[2,1,6,4,3,5]=>8
[2,1,6,4,5,3,7]=>[2,1,6,4,5,3]=>9
[2,1,6,4,5,7,3]=>[2,1,6,4,5,3]=>9
[2,1,6,4,7,3,5]=>[2,1,6,4,3,5]=>8
[2,1,6,4,7,5,3]=>[2,1,6,4,5,3]=>9
[2,1,6,5,3,4,7]=>[2,1,6,5,3,4]=>8
[2,1,6,5,3,7,4]=>[2,1,6,5,3,4]=>8
[2,1,6,5,4,3,7]=>[2,1,6,5,4,3]=>8
[2,1,6,5,4,7,3]=>[2,1,6,5,4,3]=>8
[2,1,6,5,7,3,4]=>[2,1,6,5,3,4]=>8
[2,1,6,5,7,4,3]=>[2,1,6,5,4,3]=>8
[2,1,6,7,3,4,5]=>[2,1,6,3,4,5]=>8
[2,1,6,7,3,5,4]=>[2,1,6,3,5,4]=>9
[2,1,6,7,4,3,5]=>[2,1,6,4,3,5]=>8
[2,1,6,7,4,5,3]=>[2,1,6,4,5,3]=>9
[2,1,6,7,5,3,4]=>[2,1,6,5,3,4]=>8
[2,1,6,7,5,4,3]=>[2,1,6,5,4,3]=>8
[2,1,7,3,4,5,6]=>[2,1,3,4,5,6]=>6
[2,1,7,3,4,6,5]=>[2,1,3,4,6,5]=>7
[2,1,7,3,5,4,6]=>[2,1,3,5,4,6]=>7
[2,1,7,3,5,6,4]=>[2,1,3,5,6,4]=>7
[2,1,7,3,6,4,5]=>[2,1,3,6,4,5]=>8
[2,1,7,3,6,5,4]=>[2,1,3,6,5,4]=>8
[2,1,7,4,3,5,6]=>[2,1,4,3,5,6]=>7
[2,1,7,4,3,6,5]=>[2,1,4,3,6,5]=>8
[2,1,7,4,5,3,6]=>[2,1,4,5,3,6]=>7
[2,1,7,4,5,6,3]=>[2,1,4,5,6,3]=>7
[2,1,7,4,6,3,5]=>[2,1,4,6,3,5]=>8
[2,1,7,4,6,5,3]=>[2,1,4,6,5,3]=>8
[2,1,7,5,3,4,6]=>[2,1,5,3,4,6]=>8
[2,1,7,5,3,6,4]=>[2,1,5,3,6,4]=>8
[2,1,7,5,4,3,6]=>[2,1,5,4,3,6]=>8
[2,1,7,5,4,6,3]=>[2,1,5,4,6,3]=>8
[2,1,7,5,6,3,4]=>[2,1,5,6,3,4]=>8
[2,1,7,5,6,4,3]=>[2,1,5,6,4,3]=>8
[2,1,7,6,3,4,5]=>[2,1,6,3,4,5]=>8
[2,1,7,6,3,5,4]=>[2,1,6,3,5,4]=>9
[2,1,7,6,4,3,5]=>[2,1,6,4,3,5]=>8
[2,1,7,6,4,5,3]=>[2,1,6,4,5,3]=>9
[2,1,7,6,5,3,4]=>[2,1,6,5,3,4]=>8
[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>8
[2,3,1,4,5,6,7]=>[2,3,1,4,5,6]=>7
[2,3,1,4,5,7,6]=>[2,3,1,4,5,6]=>7
[2,3,1,4,6,5,7]=>[2,3,1,4,6,5]=>8
[2,3,1,4,6,7,5]=>[2,3,1,4,6,5]=>8
[2,3,1,4,7,5,6]=>[2,3,1,4,5,6]=>7
[2,3,1,4,7,6,5]=>[2,3,1,4,6,5]=>8
[2,3,1,5,4,6,7]=>[2,3,1,5,4,6]=>8
[2,3,1,5,4,7,6]=>[2,3,1,5,4,6]=>8
[2,3,1,5,6,4,7]=>[2,3,1,5,6,4]=>8
[2,3,1,5,6,7,4]=>[2,3,1,5,6,4]=>8
[2,3,1,5,7,4,6]=>[2,3,1,5,4,6]=>8
[2,3,1,5,7,6,4]=>[2,3,1,5,6,4]=>8
[2,3,1,6,4,5,7]=>[2,3,1,6,4,5]=>9
[2,3,1,6,4,7,5]=>[2,3,1,6,4,5]=>9
[2,3,1,6,5,4,7]=>[2,3,1,6,5,4]=>9
[2,3,1,6,5,7,4]=>[2,3,1,6,5,4]=>9
[2,3,1,6,7,4,5]=>[2,3,1,6,4,5]=>9
[2,3,1,6,7,5,4]=>[2,3,1,6,5,4]=>9
[2,3,1,7,4,5,6]=>[2,3,1,4,5,6]=>7
[2,3,1,7,4,6,5]=>[2,3,1,4,6,5]=>8
[2,3,1,7,5,4,6]=>[2,3,1,5,4,6]=>8
[2,3,1,7,5,6,4]=>[2,3,1,5,6,4]=>8
[2,3,1,7,6,4,5]=>[2,3,1,6,4,5]=>9
[2,3,1,7,6,5,4]=>[2,3,1,6,5,4]=>9
[2,3,4,1,5,6,7]=>[2,3,4,1,5,6]=>7
[2,3,4,1,5,7,6]=>[2,3,4,1,5,6]=>7
[2,3,4,1,6,5,7]=>[2,3,4,1,6,5]=>8
[2,3,4,1,6,7,5]=>[2,3,4,1,6,5]=>8
[2,3,4,1,7,5,6]=>[2,3,4,1,5,6]=>7
[2,3,4,1,7,6,5]=>[2,3,4,1,6,5]=>8
[2,3,4,5,1,6,7]=>[2,3,4,5,1,6]=>7
[2,3,4,5,1,7,6]=>[2,3,4,5,1,6]=>7
[2,3,4,5,6,1,7]=>[2,3,4,5,6,1]=>7
[2,3,4,5,6,7,1]=>[2,3,4,5,6,1]=>7
[2,3,4,5,7,1,6]=>[2,3,4,5,1,6]=>7
[2,3,4,5,7,6,1]=>[2,3,4,5,6,1]=>7
[2,3,4,6,1,5,7]=>[2,3,4,6,1,5]=>8
[2,3,4,6,1,7,5]=>[2,3,4,6,1,5]=>8
[2,3,4,6,5,1,7]=>[2,3,4,6,5,1]=>8
[2,3,4,6,5,7,1]=>[2,3,4,6,5,1]=>8
[2,3,4,6,7,1,5]=>[2,3,4,6,1,5]=>8
[2,3,4,6,7,5,1]=>[2,3,4,6,5,1]=>8
[2,3,4,7,1,5,6]=>[2,3,4,1,5,6]=>7
[2,3,4,7,1,6,5]=>[2,3,4,1,6,5]=>8
[2,3,4,7,5,1,6]=>[2,3,4,5,1,6]=>7
[2,3,4,7,5,6,1]=>[2,3,4,5,6,1]=>7
[2,3,4,7,6,1,5]=>[2,3,4,6,1,5]=>8
[2,3,4,7,6,5,1]=>[2,3,4,6,5,1]=>8
[2,3,5,1,4,6,7]=>[2,3,5,1,4,6]=>8
[2,3,5,1,4,7,6]=>[2,3,5,1,4,6]=>8
[2,3,5,1,6,4,7]=>[2,3,5,1,6,4]=>8
[2,3,5,1,6,7,4]=>[2,3,5,1,6,4]=>8
[2,3,5,1,7,4,6]=>[2,3,5,1,4,6]=>8
[2,3,5,1,7,6,4]=>[2,3,5,1,6,4]=>8
[2,3,5,4,1,6,7]=>[2,3,5,4,1,6]=>8
[2,3,5,4,1,7,6]=>[2,3,5,4,1,6]=>8
[2,3,5,4,6,1,7]=>[2,3,5,4,6,1]=>8
[2,3,5,4,6,7,1]=>[2,3,5,4,6,1]=>8
[2,3,5,4,7,1,6]=>[2,3,5,4,1,6]=>8
[2,3,5,4,7,6,1]=>[2,3,5,4,6,1]=>8
[2,3,5,6,1,4,7]=>[2,3,5,6,1,4]=>8
[2,3,5,6,1,7,4]=>[2,3,5,6,1,4]=>8
[2,3,5,6,4,1,7]=>[2,3,5,6,4,1]=>8
[2,3,5,6,4,7,1]=>[2,3,5,6,4,1]=>8
[2,3,5,6,7,1,4]=>[2,3,5,6,1,4]=>8
[2,3,5,6,7,4,1]=>[2,3,5,6,4,1]=>8
[2,3,5,7,1,4,6]=>[2,3,5,1,4,6]=>8
[2,3,5,7,1,6,4]=>[2,3,5,1,6,4]=>8
[2,3,5,7,4,1,6]=>[2,3,5,4,1,6]=>8
[2,3,5,7,4,6,1]=>[2,3,5,4,6,1]=>8
[2,3,5,7,6,1,4]=>[2,3,5,6,1,4]=>8
[2,3,5,7,6,4,1]=>[2,3,5,6,4,1]=>8
[2,3,6,1,4,5,7]=>[2,3,6,1,4,5]=>8
[2,3,6,1,4,7,5]=>[2,3,6,1,4,5]=>8
[2,3,6,1,5,4,7]=>[2,3,6,1,5,4]=>9
[2,3,6,1,5,7,4]=>[2,3,6,1,5,4]=>9
[2,3,6,1,7,4,5]=>[2,3,6,1,4,5]=>8
[2,3,6,1,7,5,4]=>[2,3,6,1,5,4]=>9
[2,3,6,4,1,5,7]=>[2,3,6,4,1,5]=>8
[2,3,6,4,1,7,5]=>[2,3,6,4,1,5]=>8
[2,3,6,4,5,1,7]=>[2,3,6,4,5,1]=>9
[2,3,6,4,5,7,1]=>[2,3,6,4,5,1]=>9
[2,3,6,4,7,1,5]=>[2,3,6,4,1,5]=>8
[2,3,6,4,7,5,1]=>[2,3,6,4,5,1]=>9
[2,3,6,5,1,4,7]=>[2,3,6,5,1,4]=>8
[2,3,6,5,1,7,4]=>[2,3,6,5,1,4]=>8
[2,3,6,5,4,1,7]=>[2,3,6,5,4,1]=>8
[2,3,6,5,4,7,1]=>[2,3,6,5,4,1]=>8
[2,3,6,5,7,1,4]=>[2,3,6,5,1,4]=>8
[2,3,6,5,7,4,1]=>[2,3,6,5,4,1]=>8
[2,3,6,7,1,4,5]=>[2,3,6,1,4,5]=>8
[2,3,6,7,1,5,4]=>[2,3,6,1,5,4]=>9
[2,3,6,7,4,1,5]=>[2,3,6,4,1,5]=>8
[2,3,6,7,4,5,1]=>[2,3,6,4,5,1]=>9
[2,3,6,7,5,1,4]=>[2,3,6,5,1,4]=>8
[2,3,6,7,5,4,1]=>[2,3,6,5,4,1]=>8
[2,3,7,1,4,5,6]=>[2,3,1,4,5,6]=>7
[2,3,7,1,4,6,5]=>[2,3,1,4,6,5]=>8
[2,3,7,1,5,4,6]=>[2,3,1,5,4,6]=>8
[2,3,7,1,5,6,4]=>[2,3,1,5,6,4]=>8
[2,3,7,1,6,4,5]=>[2,3,1,6,4,5]=>9
[2,3,7,1,6,5,4]=>[2,3,1,6,5,4]=>9
[2,3,7,4,1,5,6]=>[2,3,4,1,5,6]=>7
[2,3,7,4,1,6,5]=>[2,3,4,1,6,5]=>8
[2,3,7,4,5,1,6]=>[2,3,4,5,1,6]=>7
[2,3,7,4,5,6,1]=>[2,3,4,5,6,1]=>7
[2,3,7,4,6,1,5]=>[2,3,4,6,1,5]=>8
[2,3,7,4,6,5,1]=>[2,3,4,6,5,1]=>8
[2,3,7,5,1,4,6]=>[2,3,5,1,4,6]=>8
[2,3,7,5,1,6,4]=>[2,3,5,1,6,4]=>8
[2,3,7,5,4,1,6]=>[2,3,5,4,1,6]=>8
[2,3,7,5,4,6,1]=>[2,3,5,4,6,1]=>8
[2,3,7,5,6,1,4]=>[2,3,5,6,1,4]=>8
[2,3,7,5,6,4,1]=>[2,3,5,6,4,1]=>8
[2,3,7,6,1,4,5]=>[2,3,6,1,4,5]=>8
[2,3,7,6,1,5,4]=>[2,3,6,1,5,4]=>9
[2,3,7,6,4,1,5]=>[2,3,6,4,1,5]=>8
[2,3,7,6,4,5,1]=>[2,3,6,4,5,1]=>9
[2,3,7,6,5,1,4]=>[2,3,6,5,1,4]=>8
[2,3,7,6,5,4,1]=>[2,3,6,5,4,1]=>8
[2,4,1,3,5,6,7]=>[2,4,1,3,5,6]=>7
[2,4,1,3,5,7,6]=>[2,4,1,3,5,6]=>7
[2,4,1,3,6,5,7]=>[2,4,1,3,6,5]=>8
[2,4,1,3,6,7,5]=>[2,4,1,3,6,5]=>8
[2,4,1,3,7,5,6]=>[2,4,1,3,5,6]=>7
[2,4,1,3,7,6,5]=>[2,4,1,3,6,5]=>8
[2,4,1,5,3,6,7]=>[2,4,1,5,3,6]=>8
[2,4,1,5,3,7,6]=>[2,4,1,5,3,6]=>8
[2,4,1,5,6,3,7]=>[2,4,1,5,6,3]=>8
[2,4,1,5,6,7,3]=>[2,4,1,5,6,3]=>8
[2,4,1,5,7,3,6]=>[2,4,1,5,3,6]=>8
[2,4,1,5,7,6,3]=>[2,4,1,5,6,3]=>8
[2,4,1,6,3,5,7]=>[2,4,1,6,3,5]=>9
[2,4,1,6,3,7,5]=>[2,4,1,6,3,5]=>9
[2,4,1,6,5,3,7]=>[2,4,1,6,5,3]=>9
[2,4,1,6,5,7,3]=>[2,4,1,6,5,3]=>9
[2,4,1,6,7,3,5]=>[2,4,1,6,3,5]=>9
[2,4,1,6,7,5,3]=>[2,4,1,6,5,3]=>9
[2,4,1,7,3,5,6]=>[2,4,1,3,5,6]=>7
[2,4,1,7,3,6,5]=>[2,4,1,3,6,5]=>8
[2,4,1,7,5,3,6]=>[2,4,1,5,3,6]=>8
[2,4,1,7,5,6,3]=>[2,4,1,5,6,3]=>8
[2,4,1,7,6,3,5]=>[2,4,1,6,3,5]=>9
[2,4,1,7,6,5,3]=>[2,4,1,6,5,3]=>9
[2,4,3,1,5,6,7]=>[2,4,3,1,5,6]=>7
[2,4,3,1,5,7,6]=>[2,4,3,1,5,6]=>7
[2,4,3,1,6,5,7]=>[2,4,3,1,6,5]=>8
[2,4,3,1,6,7,5]=>[2,4,3,1,6,5]=>8
[2,4,3,1,7,5,6]=>[2,4,3,1,5,6]=>7
[2,4,3,1,7,6,5]=>[2,4,3,1,6,5]=>8
[2,4,3,5,1,6,7]=>[2,4,3,5,1,6]=>8
[2,4,3,5,1,7,6]=>[2,4,3,5,1,6]=>8
[2,4,3,5,6,1,7]=>[2,4,3,5,6,1]=>8
[2,4,3,5,6,7,1]=>[2,4,3,5,6,1]=>8
[2,4,3,5,7,1,6]=>[2,4,3,5,1,6]=>8
[2,4,3,5,7,6,1]=>[2,4,3,5,6,1]=>8
[2,4,3,6,1,5,7]=>[2,4,3,6,1,5]=>9
[2,4,3,6,1,7,5]=>[2,4,3,6,1,5]=>9
[2,4,3,6,5,1,7]=>[2,4,3,6,5,1]=>9
[2,4,3,6,5,7,1]=>[2,4,3,6,5,1]=>9
[2,4,3,6,7,1,5]=>[2,4,3,6,1,5]=>9
[2,4,3,6,7,5,1]=>[2,4,3,6,5,1]=>9
[2,4,3,7,1,5,6]=>[2,4,3,1,5,6]=>7
[2,4,3,7,1,6,5]=>[2,4,3,1,6,5]=>8
[2,4,3,7,5,1,6]=>[2,4,3,5,1,6]=>8
[2,4,3,7,5,6,1]=>[2,4,3,5,6,1]=>8
[2,4,3,7,6,1,5]=>[2,4,3,6,1,5]=>9
[2,4,3,7,6,5,1]=>[2,4,3,6,5,1]=>9
[2,4,5,1,3,6,7]=>[2,4,5,1,3,6]=>8
[2,4,5,1,3,7,6]=>[2,4,5,1,3,6]=>8
[2,4,5,1,6,3,7]=>[2,4,5,1,6,3]=>8
[2,4,5,1,6,7,3]=>[2,4,5,1,6,3]=>8
[2,4,5,1,7,3,6]=>[2,4,5,1,3,6]=>8
[2,4,5,1,7,6,3]=>[2,4,5,1,6,3]=>8
[2,4,5,3,1,6,7]=>[2,4,5,3,1,6]=>8
[2,4,5,3,1,7,6]=>[2,4,5,3,1,6]=>8
[2,4,5,3,6,1,7]=>[2,4,5,3,6,1]=>8
[2,4,5,3,6,7,1]=>[2,4,5,3,6,1]=>8
[2,4,5,3,7,1,6]=>[2,4,5,3,1,6]=>8
[2,4,5,3,7,6,1]=>[2,4,5,3,6,1]=>8
[2,4,5,6,1,3,7]=>[2,4,5,6,1,3]=>8
[2,4,5,6,1,7,3]=>[2,4,5,6,1,3]=>8
[2,4,5,6,3,1,7]=>[2,4,5,6,3,1]=>8
[2,4,5,6,3,7,1]=>[2,4,5,6,3,1]=>8
[2,4,5,6,7,1,3]=>[2,4,5,6,1,3]=>8
[2,4,5,6,7,3,1]=>[2,4,5,6,3,1]=>8
[2,4,5,7,1,3,6]=>[2,4,5,1,3,6]=>8
[2,4,5,7,1,6,3]=>[2,4,5,1,6,3]=>8
[2,4,5,7,3,1,6]=>[2,4,5,3,1,6]=>8
[2,4,5,7,3,6,1]=>[2,4,5,3,6,1]=>8
[2,4,5,7,6,1,3]=>[2,4,5,6,1,3]=>8
[2,4,5,7,6,3,1]=>[2,4,5,6,3,1]=>8
[2,4,6,1,3,5,7]=>[2,4,6,1,3,5]=>8
[2,4,6,1,3,7,5]=>[2,4,6,1,3,5]=>8
[2,4,6,1,5,3,7]=>[2,4,6,1,5,3]=>9
[2,4,6,1,5,7,3]=>[2,4,6,1,5,3]=>9
[2,4,6,1,7,3,5]=>[2,4,6,1,3,5]=>8
[2,4,6,1,7,5,3]=>[2,4,6,1,5,3]=>9
[2,4,6,3,1,5,7]=>[2,4,6,3,1,5]=>8
[2,4,6,3,1,7,5]=>[2,4,6,3,1,5]=>8
[2,4,6,3,5,1,7]=>[2,4,6,3,5,1]=>9
[2,4,6,3,5,7,1]=>[2,4,6,3,5,1]=>9
[2,4,6,3,7,1,5]=>[2,4,6,3,1,5]=>8
[2,4,6,3,7,5,1]=>[2,4,6,3,5,1]=>9
[2,4,6,5,1,3,7]=>[2,4,6,5,1,3]=>8
[2,4,6,5,1,7,3]=>[2,4,6,5,1,3]=>8
[2,4,6,5,3,1,7]=>[2,4,6,5,3,1]=>8
[2,4,6,5,3,7,1]=>[2,4,6,5,3,1]=>8
[2,4,6,5,7,1,3]=>[2,4,6,5,1,3]=>8
[2,4,6,5,7,3,1]=>[2,4,6,5,3,1]=>8
[2,4,6,7,1,3,5]=>[2,4,6,1,3,5]=>8
[2,4,6,7,1,5,3]=>[2,4,6,1,5,3]=>9
[2,4,6,7,3,1,5]=>[2,4,6,3,1,5]=>8
[2,4,6,7,3,5,1]=>[2,4,6,3,5,1]=>9
[2,4,6,7,5,1,3]=>[2,4,6,5,1,3]=>8
[2,4,6,7,5,3,1]=>[2,4,6,5,3,1]=>8
[2,4,7,1,3,5,6]=>[2,4,1,3,5,6]=>7
[2,4,7,1,3,6,5]=>[2,4,1,3,6,5]=>8
[2,4,7,1,5,3,6]=>[2,4,1,5,3,6]=>8
[2,4,7,1,5,6,3]=>[2,4,1,5,6,3]=>8
[2,4,7,1,6,3,5]=>[2,4,1,6,3,5]=>9
[2,4,7,1,6,5,3]=>[2,4,1,6,5,3]=>9
[2,4,7,3,1,5,6]=>[2,4,3,1,5,6]=>7
[2,4,7,3,1,6,5]=>[2,4,3,1,6,5]=>8
[2,4,7,3,5,1,6]=>[2,4,3,5,1,6]=>8
[2,4,7,3,5,6,1]=>[2,4,3,5,6,1]=>8
[2,4,7,3,6,1,5]=>[2,4,3,6,1,5]=>9
[2,4,7,3,6,5,1]=>[2,4,3,6,5,1]=>9
[2,4,7,5,1,3,6]=>[2,4,5,1,3,6]=>8
[2,4,7,5,1,6,3]=>[2,4,5,1,6,3]=>8
[2,4,7,5,3,1,6]=>[2,4,5,3,1,6]=>8
[2,4,7,5,3,6,1]=>[2,4,5,3,6,1]=>8
[2,4,7,5,6,1,3]=>[2,4,5,6,1,3]=>8
[2,4,7,5,6,3,1]=>[2,4,5,6,3,1]=>8
[2,4,7,6,1,3,5]=>[2,4,6,1,3,5]=>8
[2,4,7,6,1,5,3]=>[2,4,6,1,5,3]=>9
[2,4,7,6,3,1,5]=>[2,4,6,3,1,5]=>8
[2,4,7,6,3,5,1]=>[2,4,6,3,5,1]=>9
[2,4,7,6,5,1,3]=>[2,4,6,5,1,3]=>8
[2,4,7,6,5,3,1]=>[2,4,6,5,3,1]=>8
[2,5,1,3,4,6,7]=>[2,5,1,3,4,6]=>7
[2,5,1,3,4,7,6]=>[2,5,1,3,4,6]=>7
[2,5,1,3,6,4,7]=>[2,5,1,3,6,4]=>8
[2,5,1,3,6,7,4]=>[2,5,1,3,6,4]=>8
[2,5,1,3,7,4,6]=>[2,5,1,3,4,6]=>7
[2,5,1,3,7,6,4]=>[2,5,1,3,6,4]=>8
[2,5,1,4,3,6,7]=>[2,5,1,4,3,6]=>8
[2,5,1,4,3,7,6]=>[2,5,1,4,3,6]=>8
[2,5,1,4,6,3,7]=>[2,5,1,4,6,3]=>8
[2,5,1,4,6,7,3]=>[2,5,1,4,6,3]=>8
[2,5,1,4,7,3,6]=>[2,5,1,4,3,6]=>8
[2,5,1,4,7,6,3]=>[2,5,1,4,6,3]=>8
[2,5,1,6,3,4,7]=>[2,5,1,6,3,4]=>9
[2,5,1,6,3,7,4]=>[2,5,1,6,3,4]=>9
[2,5,1,6,4,3,7]=>[2,5,1,6,4,3]=>9
[2,5,1,6,4,7,3]=>[2,5,1,6,4,3]=>9
[2,5,1,6,7,3,4]=>[2,5,1,6,3,4]=>9
[2,5,1,6,7,4,3]=>[2,5,1,6,4,3]=>9
[2,5,1,7,3,4,6]=>[2,5,1,3,4,6]=>7
[2,5,1,7,3,6,4]=>[2,5,1,3,6,4]=>8
[2,5,1,7,4,3,6]=>[2,5,1,4,3,6]=>8
[2,5,1,7,4,6,3]=>[2,5,1,4,6,3]=>8
[2,5,1,7,6,3,4]=>[2,5,1,6,3,4]=>9
[2,5,1,7,6,4,3]=>[2,5,1,6,4,3]=>9
[2,5,3,1,4,6,7]=>[2,5,3,1,4,6]=>7
[2,5,3,1,4,7,6]=>[2,5,3,1,4,6]=>7
[2,5,3,1,6,4,7]=>[2,5,3,1,6,4]=>8
[2,5,3,1,6,7,4]=>[2,5,3,1,6,4]=>8
[2,5,3,1,7,4,6]=>[2,5,3,1,4,6]=>7
[2,5,3,1,7,6,4]=>[2,5,3,1,6,4]=>8
[2,5,3,4,1,6,7]=>[2,5,3,4,1,6]=>8
[2,5,3,4,1,7,6]=>[2,5,3,4,1,6]=>8
[2,5,3,4,6,1,7]=>[2,5,3,4,6,1]=>8
[2,5,3,4,6,7,1]=>[2,5,3,4,6,1]=>8
[2,5,3,4,7,1,6]=>[2,5,3,4,1,6]=>8
[2,5,3,4,7,6,1]=>[2,5,3,4,6,1]=>8
[2,5,3,6,1,4,7]=>[2,5,3,6,1,4]=>9
[2,5,3,6,1,7,4]=>[2,5,3,6,1,4]=>9
[2,5,3,6,4,1,7]=>[2,5,3,6,4,1]=>9
[2,5,3,6,4,7,1]=>[2,5,3,6,4,1]=>9
[2,5,3,6,7,1,4]=>[2,5,3,6,1,4]=>9
[2,5,3,6,7,4,1]=>[2,5,3,6,4,1]=>9
[2,5,3,7,1,4,6]=>[2,5,3,1,4,6]=>7
[2,5,3,7,1,6,4]=>[2,5,3,1,6,4]=>8
[2,5,3,7,4,1,6]=>[2,5,3,4,1,6]=>8
[2,5,3,7,4,6,1]=>[2,5,3,4,6,1]=>8
[2,5,3,7,6,1,4]=>[2,5,3,6,1,4]=>9
[2,5,3,7,6,4,1]=>[2,5,3,6,4,1]=>9
[2,5,4,1,3,6,7]=>[2,5,4,1,3,6]=>7
[2,5,4,1,3,7,6]=>[2,5,4,1,3,6]=>7
[2,5,4,1,6,3,7]=>[2,5,4,1,6,3]=>8
[2,5,4,1,6,7,3]=>[2,5,4,1,6,3]=>8
[2,5,4,1,7,3,6]=>[2,5,4,1,3,6]=>7
[2,5,4,1,7,6,3]=>[2,5,4,1,6,3]=>8
[2,5,4,3,1,6,7]=>[2,5,4,3,1,6]=>7
[2,5,4,3,1,7,6]=>[2,5,4,3,1,6]=>7
[2,5,4,3,6,1,7]=>[2,5,4,3,6,1]=>8
[2,5,4,3,6,7,1]=>[2,5,4,3,6,1]=>8
[2,5,4,3,7,1,6]=>[2,5,4,3,1,6]=>7
[2,5,4,3,7,6,1]=>[2,5,4,3,6,1]=>8
[2,5,4,6,1,3,7]=>[2,5,4,6,1,3]=>9
[2,5,4,6,1,7,3]=>[2,5,4,6,1,3]=>9
[2,5,4,6,3,1,7]=>[2,5,4,6,3,1]=>9
[2,5,4,6,3,7,1]=>[2,5,4,6,3,1]=>9
[2,5,4,6,7,1,3]=>[2,5,4,6,1,3]=>9
[2,5,4,6,7,3,1]=>[2,5,4,6,3,1]=>9
[2,5,4,7,1,3,6]=>[2,5,4,1,3,6]=>7
[2,5,4,7,1,6,3]=>[2,5,4,1,6,3]=>8
[2,5,4,7,3,1,6]=>[2,5,4,3,1,6]=>7
[2,5,4,7,3,6,1]=>[2,5,4,3,6,1]=>8
[2,5,4,7,6,1,3]=>[2,5,4,6,1,3]=>9
[2,5,4,7,6,3,1]=>[2,5,4,6,3,1]=>9
[2,5,6,1,3,4,7]=>[2,5,6,1,3,4]=>8
[2,5,6,1,3,7,4]=>[2,5,6,1,3,4]=>8
[2,5,6,1,4,3,7]=>[2,5,6,1,4,3]=>9
[2,5,6,1,4,7,3]=>[2,5,6,1,4,3]=>9
[2,5,6,1,7,3,4]=>[2,5,6,1,3,4]=>8
[2,5,6,1,7,4,3]=>[2,5,6,1,4,3]=>9
[2,5,6,3,1,4,7]=>[2,5,6,3,1,4]=>8
[2,5,6,3,1,7,4]=>[2,5,6,3,1,4]=>8
[2,5,6,3,4,1,7]=>[2,5,6,3,4,1]=>9
[2,5,6,3,4,7,1]=>[2,5,6,3,4,1]=>9
[2,5,6,3,7,1,4]=>[2,5,6,3,1,4]=>8
[2,5,6,3,7,4,1]=>[2,5,6,3,4,1]=>9
[2,5,6,4,1,3,7]=>[2,5,6,4,1,3]=>8
[2,5,6,4,1,7,3]=>[2,5,6,4,1,3]=>8
[2,5,6,4,3,1,7]=>[2,5,6,4,3,1]=>8
[2,5,6,4,3,7,1]=>[2,5,6,4,3,1]=>8
[2,5,6,4,7,1,3]=>[2,5,6,4,1,3]=>8
[2,5,6,4,7,3,1]=>[2,5,6,4,3,1]=>8
[2,5,6,7,1,3,4]=>[2,5,6,1,3,4]=>8
[2,5,6,7,1,4,3]=>[2,5,6,1,4,3]=>9
[2,5,6,7,3,1,4]=>[2,5,6,3,1,4]=>8
[2,5,6,7,3,4,1]=>[2,5,6,3,4,1]=>9
[2,5,6,7,4,1,3]=>[2,5,6,4,1,3]=>8
[2,5,6,7,4,3,1]=>[2,5,6,4,3,1]=>8
[2,5,7,1,3,4,6]=>[2,5,1,3,4,6]=>7
[2,5,7,1,3,6,4]=>[2,5,1,3,6,4]=>8
[2,5,7,1,4,3,6]=>[2,5,1,4,3,6]=>8
[2,5,7,1,4,6,3]=>[2,5,1,4,6,3]=>8
[2,5,7,1,6,3,4]=>[2,5,1,6,3,4]=>9
[2,5,7,1,6,4,3]=>[2,5,1,6,4,3]=>9
[2,5,7,3,1,4,6]=>[2,5,3,1,4,6]=>7
[2,5,7,3,1,6,4]=>[2,5,3,1,6,4]=>8
[2,5,7,3,4,1,6]=>[2,5,3,4,1,6]=>8
[2,5,7,3,4,6,1]=>[2,5,3,4,6,1]=>8
[2,5,7,3,6,1,4]=>[2,5,3,6,1,4]=>9
[2,5,7,3,6,4,1]=>[2,5,3,6,4,1]=>9
[2,5,7,4,1,3,6]=>[2,5,4,1,3,6]=>7
[2,5,7,4,1,6,3]=>[2,5,4,1,6,3]=>8
[2,5,7,4,3,1,6]=>[2,5,4,3,1,6]=>7
[2,5,7,4,3,6,1]=>[2,5,4,3,6,1]=>8
[2,5,7,4,6,1,3]=>[2,5,4,6,1,3]=>9
[2,5,7,4,6,3,1]=>[2,5,4,6,3,1]=>9
[2,5,7,6,1,3,4]=>[2,5,6,1,3,4]=>8
[2,5,7,6,1,4,3]=>[2,5,6,1,4,3]=>9
[2,5,7,6,3,1,4]=>[2,5,6,3,1,4]=>8
[2,5,7,6,3,4,1]=>[2,5,6,3,4,1]=>9
[2,5,7,6,4,1,3]=>[2,5,6,4,1,3]=>8
[2,5,7,6,4,3,1]=>[2,5,6,4,3,1]=>8
[2,6,1,3,4,5,7]=>[2,6,1,3,4,5]=>7
[2,6,1,3,4,7,5]=>[2,6,1,3,4,5]=>7
[2,6,1,3,5,4,7]=>[2,6,1,3,5,4]=>8
[2,6,1,3,5,7,4]=>[2,6,1,3,5,4]=>8
[2,6,1,3,7,4,5]=>[2,6,1,3,4,5]=>7
[2,6,1,3,7,5,4]=>[2,6,1,3,5,4]=>8
[2,6,1,4,3,5,7]=>[2,6,1,4,3,5]=>8
[2,6,1,4,3,7,5]=>[2,6,1,4,3,5]=>8
[2,6,1,4,5,3,7]=>[2,6,1,4,5,3]=>8
[2,6,1,4,5,7,3]=>[2,6,1,4,5,3]=>8
[2,6,1,4,7,3,5]=>[2,6,1,4,3,5]=>8
[2,6,1,4,7,5,3]=>[2,6,1,4,5,3]=>8
[2,6,1,5,3,4,7]=>[2,6,1,5,3,4]=>8
[2,6,1,5,3,7,4]=>[2,6,1,5,3,4]=>8
[2,6,1,5,4,3,7]=>[2,6,1,5,4,3]=>8
[2,6,1,5,4,7,3]=>[2,6,1,5,4,3]=>8
[2,6,1,5,7,3,4]=>[2,6,1,5,3,4]=>8
[2,6,1,5,7,4,3]=>[2,6,1,5,4,3]=>8
[2,6,1,7,3,4,5]=>[2,6,1,3,4,5]=>7
[2,6,1,7,3,5,4]=>[2,6,1,3,5,4]=>8
[2,6,1,7,4,3,5]=>[2,6,1,4,3,5]=>8
[2,6,1,7,4,5,3]=>[2,6,1,4,5,3]=>8
[2,6,1,7,5,3,4]=>[2,6,1,5,3,4]=>8
[2,6,1,7,5,4,3]=>[2,6,1,5,4,3]=>8
[2,6,3,1,4,5,7]=>[2,6,3,1,4,5]=>7
[2,6,3,1,4,7,5]=>[2,6,3,1,4,5]=>7
[2,6,3,1,5,4,7]=>[2,6,3,1,5,4]=>8
[2,6,3,1,5,7,4]=>[2,6,3,1,5,4]=>8
[2,6,3,1,7,4,5]=>[2,6,3,1,4,5]=>7
[2,6,3,1,7,5,4]=>[2,6,3,1,5,4]=>8
[2,6,3,4,1,5,7]=>[2,6,3,4,1,5]=>8
[2,6,3,4,1,7,5]=>[2,6,3,4,1,5]=>8
[2,6,3,4,5,1,7]=>[2,6,3,4,5,1]=>8
[2,6,3,4,5,7,1]=>[2,6,3,4,5,1]=>8
[2,6,3,4,7,1,5]=>[2,6,3,4,1,5]=>8
[2,6,3,4,7,5,1]=>[2,6,3,4,5,1]=>8
[2,6,3,5,1,4,7]=>[2,6,3,5,1,4]=>8
[2,6,3,5,1,7,4]=>[2,6,3,5,1,4]=>8
[2,6,3,5,4,1,7]=>[2,6,3,5,4,1]=>8
[2,6,3,5,4,7,1]=>[2,6,3,5,4,1]=>8
[2,6,3,5,7,1,4]=>[2,6,3,5,1,4]=>8
[2,6,3,5,7,4,1]=>[2,6,3,5,4,1]=>8
[2,6,3,7,1,4,5]=>[2,6,3,1,4,5]=>7
[2,6,3,7,1,5,4]=>[2,6,3,1,5,4]=>8
[2,6,3,7,4,1,5]=>[2,6,3,4,1,5]=>8
[2,6,3,7,4,5,1]=>[2,6,3,4,5,1]=>8
[2,6,3,7,5,1,4]=>[2,6,3,5,1,4]=>8
[2,6,3,7,5,4,1]=>[2,6,3,5,4,1]=>8
[2,6,4,1,3,5,7]=>[2,6,4,1,3,5]=>7
[2,6,4,1,3,7,5]=>[2,6,4,1,3,5]=>7
[2,6,4,1,5,3,7]=>[2,6,4,1,5,3]=>8
[2,6,4,1,5,7,3]=>[2,6,4,1,5,3]=>8
[2,6,4,1,7,3,5]=>[2,6,4,1,3,5]=>7
[2,6,4,1,7,5,3]=>[2,6,4,1,5,3]=>8
[2,6,4,3,1,5,7]=>[2,6,4,3,1,5]=>7
[2,6,4,3,1,7,5]=>[2,6,4,3,1,5]=>7
[2,6,4,3,5,1,7]=>[2,6,4,3,5,1]=>8
[2,6,4,3,5,7,1]=>[2,6,4,3,5,1]=>8
[2,6,4,3,7,1,5]=>[2,6,4,3,1,5]=>7
[2,6,4,3,7,5,1]=>[2,6,4,3,5,1]=>8
[2,6,4,5,1,3,7]=>[2,6,4,5,1,3]=>8
[2,6,4,5,1,7,3]=>[2,6,4,5,1,3]=>8
[2,6,4,5,3,1,7]=>[2,6,4,5,3,1]=>8
[2,6,4,5,3,7,1]=>[2,6,4,5,3,1]=>8
[2,6,4,5,7,1,3]=>[2,6,4,5,1,3]=>8
[2,6,4,5,7,3,1]=>[2,6,4,5,3,1]=>8
[2,6,4,7,1,3,5]=>[2,6,4,1,3,5]=>7
[2,6,4,7,1,5,3]=>[2,6,4,1,5,3]=>8
[2,6,4,7,3,1,5]=>[2,6,4,3,1,5]=>7
[2,6,4,7,3,5,1]=>[2,6,4,3,5,1]=>8
[2,6,4,7,5,1,3]=>[2,6,4,5,1,3]=>8
[2,6,4,7,5,3,1]=>[2,6,4,5,3,1]=>8
[2,6,5,1,3,4,7]=>[2,6,5,1,3,4]=>7
[2,6,5,1,3,7,4]=>[2,6,5,1,3,4]=>7
[2,6,5,1,4,3,7]=>[2,6,5,1,4,3]=>8
[2,6,5,1,4,7,3]=>[2,6,5,1,4,3]=>8
[2,6,5,1,7,3,4]=>[2,6,5,1,3,4]=>7
[2,6,5,1,7,4,3]=>[2,6,5,1,4,3]=>8
[2,6,5,3,1,4,7]=>[2,6,5,3,1,4]=>7
[2,6,5,3,1,7,4]=>[2,6,5,3,1,4]=>7
[2,6,5,3,4,1,7]=>[2,6,5,3,4,1]=>8
[2,6,5,3,4,7,1]=>[2,6,5,3,4,1]=>8
[2,6,5,3,7,1,4]=>[2,6,5,3,1,4]=>7
[2,6,5,3,7,4,1]=>[2,6,5,3,4,1]=>8
[2,6,5,4,1,3,7]=>[2,6,5,4,1,3]=>7
[2,6,5,4,1,7,3]=>[2,6,5,4,1,3]=>7
[2,6,5,4,3,1,7]=>[2,6,5,4,3,1]=>7
[2,6,5,4,3,7,1]=>[2,6,5,4,3,1]=>7
[2,6,5,4,7,1,3]=>[2,6,5,4,1,3]=>7
[2,6,5,4,7,3,1]=>[2,6,5,4,3,1]=>7
[2,6,5,7,1,3,4]=>[2,6,5,1,3,4]=>7
[2,6,5,7,1,4,3]=>[2,6,5,1,4,3]=>8
[2,6,5,7,3,1,4]=>[2,6,5,3,1,4]=>7
[2,6,5,7,3,4,1]=>[2,6,5,3,4,1]=>8
[2,6,5,7,4,1,3]=>[2,6,5,4,1,3]=>7
[2,6,5,7,4,3,1]=>[2,6,5,4,3,1]=>7
[2,6,7,1,3,4,5]=>[2,6,1,3,4,5]=>7
[2,6,7,1,3,5,4]=>[2,6,1,3,5,4]=>8
[2,6,7,1,4,3,5]=>[2,6,1,4,3,5]=>8
[2,6,7,1,4,5,3]=>[2,6,1,4,5,3]=>8
[2,6,7,1,5,3,4]=>[2,6,1,5,3,4]=>8
[2,6,7,1,5,4,3]=>[2,6,1,5,4,3]=>8
[2,6,7,3,1,4,5]=>[2,6,3,1,4,5]=>7
[2,6,7,3,1,5,4]=>[2,6,3,1,5,4]=>8
[2,6,7,3,4,1,5]=>[2,6,3,4,1,5]=>8
[2,6,7,3,4,5,1]=>[2,6,3,4,5,1]=>8
[2,6,7,3,5,1,4]=>[2,6,3,5,1,4]=>8
[2,6,7,3,5,4,1]=>[2,6,3,5,4,1]=>8
[2,6,7,4,1,3,5]=>[2,6,4,1,3,5]=>7
[2,6,7,4,1,5,3]=>[2,6,4,1,5,3]=>8
[2,6,7,4,3,1,5]=>[2,6,4,3,1,5]=>7
[2,6,7,4,3,5,1]=>[2,6,4,3,5,1]=>8
[2,6,7,4,5,1,3]=>[2,6,4,5,1,3]=>8
[2,6,7,4,5,3,1]=>[2,6,4,5,3,1]=>8
[2,6,7,5,1,3,4]=>[2,6,5,1,3,4]=>7
[2,6,7,5,1,4,3]=>[2,6,5,1,4,3]=>8
[2,6,7,5,3,1,4]=>[2,6,5,3,1,4]=>7
[2,6,7,5,3,4,1]=>[2,6,5,3,4,1]=>8
[2,6,7,5,4,1,3]=>[2,6,5,4,1,3]=>7
[2,6,7,5,4,3,1]=>[2,6,5,4,3,1]=>7
[2,7,1,3,4,5,6]=>[2,1,3,4,5,6]=>6
[2,7,1,3,4,6,5]=>[2,1,3,4,6,5]=>7
[2,7,1,3,5,4,6]=>[2,1,3,5,4,6]=>7
[2,7,1,3,5,6,4]=>[2,1,3,5,6,4]=>7
[2,7,1,3,6,4,5]=>[2,1,3,6,4,5]=>8
[2,7,1,3,6,5,4]=>[2,1,3,6,5,4]=>8
[2,7,1,4,3,5,6]=>[2,1,4,3,5,6]=>7
[2,7,1,4,3,6,5]=>[2,1,4,3,6,5]=>8
[2,7,1,4,5,3,6]=>[2,1,4,5,3,6]=>7
[2,7,1,4,5,6,3]=>[2,1,4,5,6,3]=>7
[2,7,1,4,6,3,5]=>[2,1,4,6,3,5]=>8
[2,7,1,4,6,5,3]=>[2,1,4,6,5,3]=>8
[2,7,1,5,3,4,6]=>[2,1,5,3,4,6]=>8
[2,7,1,5,3,6,4]=>[2,1,5,3,6,4]=>8
[2,7,1,5,4,3,6]=>[2,1,5,4,3,6]=>8
[2,7,1,5,4,6,3]=>[2,1,5,4,6,3]=>8
[2,7,1,5,6,3,4]=>[2,1,5,6,3,4]=>8
[2,7,1,5,6,4,3]=>[2,1,5,6,4,3]=>8
[2,7,1,6,3,4,5]=>[2,1,6,3,4,5]=>8
[2,7,1,6,3,5,4]=>[2,1,6,3,5,4]=>9
[2,7,1,6,4,3,5]=>[2,1,6,4,3,5]=>8
[2,7,1,6,4,5,3]=>[2,1,6,4,5,3]=>9
[2,7,1,6,5,3,4]=>[2,1,6,5,3,4]=>8
[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>8
[2,7,3,1,4,5,6]=>[2,3,1,4,5,6]=>7
[2,7,3,1,4,6,5]=>[2,3,1,4,6,5]=>8
[2,7,3,1,5,4,6]=>[2,3,1,5,4,6]=>8
[2,7,3,1,5,6,4]=>[2,3,1,5,6,4]=>8
[2,7,3,1,6,4,5]=>[2,3,1,6,4,5]=>9
[2,7,3,1,6,5,4]=>[2,3,1,6,5,4]=>9
[2,7,3,4,1,5,6]=>[2,3,4,1,5,6]=>7
[2,7,3,4,1,6,5]=>[2,3,4,1,6,5]=>8
[2,7,3,4,5,1,6]=>[2,3,4,5,1,6]=>7
[2,7,3,4,5,6,1]=>[2,3,4,5,6,1]=>7
[2,7,3,4,6,1,5]=>[2,3,4,6,1,5]=>8
[2,7,3,4,6,5,1]=>[2,3,4,6,5,1]=>8
[2,7,3,5,1,4,6]=>[2,3,5,1,4,6]=>8
[2,7,3,5,1,6,4]=>[2,3,5,1,6,4]=>8
[2,7,3,5,4,1,6]=>[2,3,5,4,1,6]=>8
[2,7,3,5,4,6,1]=>[2,3,5,4,6,1]=>8
[2,7,3,5,6,1,4]=>[2,3,5,6,1,4]=>8
[2,7,3,5,6,4,1]=>[2,3,5,6,4,1]=>8
[2,7,3,6,1,4,5]=>[2,3,6,1,4,5]=>8
[2,7,3,6,1,5,4]=>[2,3,6,1,5,4]=>9
[2,7,3,6,4,1,5]=>[2,3,6,4,1,5]=>8
[2,7,3,6,4,5,1]=>[2,3,6,4,5,1]=>9
[2,7,3,6,5,1,4]=>[2,3,6,5,1,4]=>8
[2,7,3,6,5,4,1]=>[2,3,6,5,4,1]=>8
[2,7,4,1,3,5,6]=>[2,4,1,3,5,6]=>7
[2,7,4,1,3,6,5]=>[2,4,1,3,6,5]=>8
[2,7,4,1,5,3,6]=>[2,4,1,5,3,6]=>8
[2,7,4,1,5,6,3]=>[2,4,1,5,6,3]=>8
[2,7,4,1,6,3,5]=>[2,4,1,6,3,5]=>9
[2,7,4,1,6,5,3]=>[2,4,1,6,5,3]=>9
[2,7,4,3,1,5,6]=>[2,4,3,1,5,6]=>7
[2,7,4,3,1,6,5]=>[2,4,3,1,6,5]=>8
[2,7,4,3,5,1,6]=>[2,4,3,5,1,6]=>8
[2,7,4,3,5,6,1]=>[2,4,3,5,6,1]=>8
[2,7,4,3,6,1,5]=>[2,4,3,6,1,5]=>9
[2,7,4,3,6,5,1]=>[2,4,3,6,5,1]=>9
[2,7,4,5,1,3,6]=>[2,4,5,1,3,6]=>8
[2,7,4,5,1,6,3]=>[2,4,5,1,6,3]=>8
[2,7,4,5,3,1,6]=>[2,4,5,3,1,6]=>8
[2,7,4,5,3,6,1]=>[2,4,5,3,6,1]=>8
[2,7,4,5,6,1,3]=>[2,4,5,6,1,3]=>8
[2,7,4,5,6,3,1]=>[2,4,5,6,3,1]=>8
[2,7,4,6,1,3,5]=>[2,4,6,1,3,5]=>8
[2,7,4,6,1,5,3]=>[2,4,6,1,5,3]=>9
[2,7,4,6,3,1,5]=>[2,4,6,3,1,5]=>8
[2,7,4,6,3,5,1]=>[2,4,6,3,5,1]=>9
[2,7,4,6,5,1,3]=>[2,4,6,5,1,3]=>8
[2,7,4,6,5,3,1]=>[2,4,6,5,3,1]=>8
[2,7,5,1,3,4,6]=>[2,5,1,3,4,6]=>7
[2,7,5,1,3,6,4]=>[2,5,1,3,6,4]=>8
[2,7,5,1,4,3,6]=>[2,5,1,4,3,6]=>8
[2,7,5,1,4,6,3]=>[2,5,1,4,6,3]=>8
[2,7,5,1,6,3,4]=>[2,5,1,6,3,4]=>9
[2,7,5,1,6,4,3]=>[2,5,1,6,4,3]=>9
[2,7,5,3,1,4,6]=>[2,5,3,1,4,6]=>7
[2,7,5,3,1,6,4]=>[2,5,3,1,6,4]=>8
[2,7,5,3,4,1,6]=>[2,5,3,4,1,6]=>8
[2,7,5,3,4,6,1]=>[2,5,3,4,6,1]=>8
[2,7,5,3,6,1,4]=>[2,5,3,6,1,4]=>9
[2,7,5,3,6,4,1]=>[2,5,3,6,4,1]=>9
[2,7,5,4,1,3,6]=>[2,5,4,1,3,6]=>7
[2,7,5,4,1,6,3]=>[2,5,4,1,6,3]=>8
[2,7,5,4,3,1,6]=>[2,5,4,3,1,6]=>7
[2,7,5,4,3,6,1]=>[2,5,4,3,6,1]=>8
[2,7,5,4,6,1,3]=>[2,5,4,6,1,3]=>9
[2,7,5,4,6,3,1]=>[2,5,4,6,3,1]=>9
[2,7,5,6,1,3,4]=>[2,5,6,1,3,4]=>8
[2,7,5,6,1,4,3]=>[2,5,6,1,4,3]=>9
[2,7,5,6,3,1,4]=>[2,5,6,3,1,4]=>8
[2,7,5,6,3,4,1]=>[2,5,6,3,4,1]=>9
[2,7,5,6,4,1,3]=>[2,5,6,4,1,3]=>8
[2,7,5,6,4,3,1]=>[2,5,6,4,3,1]=>8
[2,7,6,1,3,4,5]=>[2,6,1,3,4,5]=>7
[2,7,6,1,3,5,4]=>[2,6,1,3,5,4]=>8
[2,7,6,1,4,3,5]=>[2,6,1,4,3,5]=>8
[2,7,6,1,4,5,3]=>[2,6,1,4,5,3]=>8
[2,7,6,1,5,3,4]=>[2,6,1,5,3,4]=>8
[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>8
[2,7,6,3,1,4,5]=>[2,6,3,1,4,5]=>7
[2,7,6,3,1,5,4]=>[2,6,3,1,5,4]=>8
[2,7,6,3,4,1,5]=>[2,6,3,4,1,5]=>8
[2,7,6,3,4,5,1]=>[2,6,3,4,5,1]=>8
[2,7,6,3,5,1,4]=>[2,6,3,5,1,4]=>8
[2,7,6,3,5,4,1]=>[2,6,3,5,4,1]=>8
[2,7,6,4,1,3,5]=>[2,6,4,1,3,5]=>7
[2,7,6,4,1,5,3]=>[2,6,4,1,5,3]=>8
[2,7,6,4,3,1,5]=>[2,6,4,3,1,5]=>7
[2,7,6,4,3,5,1]=>[2,6,4,3,5,1]=>8
[2,7,6,4,5,1,3]=>[2,6,4,5,1,3]=>8
[2,7,6,4,5,3,1]=>[2,6,4,5,3,1]=>8
[2,7,6,5,1,3,4]=>[2,6,5,1,3,4]=>7
[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>8
[2,7,6,5,3,1,4]=>[2,6,5,3,1,4]=>7
[2,7,6,5,3,4,1]=>[2,6,5,3,4,1]=>8
[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>7
[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>7
[3,1,2,4,5,6,7]=>[3,1,2,4,5,6]=>6
[3,1,2,4,5,7,6]=>[3,1,2,4,5,6]=>6
[3,1,2,4,6,5,7]=>[3,1,2,4,6,5]=>7
[3,1,2,4,6,7,5]=>[3,1,2,4,6,5]=>7
[3,1,2,4,7,5,6]=>[3,1,2,4,5,6]=>6
[3,1,2,4,7,6,5]=>[3,1,2,4,6,5]=>7
[3,1,2,5,4,6,7]=>[3,1,2,5,4,6]=>7
[3,1,2,5,4,7,6]=>[3,1,2,5,4,6]=>7
[3,1,2,5,6,4,7]=>[3,1,2,5,6,4]=>7
[3,1,2,5,6,7,4]=>[3,1,2,5,6,4]=>7
[3,1,2,5,7,4,6]=>[3,1,2,5,4,6]=>7
[3,1,2,5,7,6,4]=>[3,1,2,5,6,4]=>7
[3,1,2,6,4,5,7]=>[3,1,2,6,4,5]=>8
[3,1,2,6,4,7,5]=>[3,1,2,6,4,5]=>8
[3,1,2,6,5,4,7]=>[3,1,2,6,5,4]=>8
[3,1,2,6,5,7,4]=>[3,1,2,6,5,4]=>8
[3,1,2,6,7,4,5]=>[3,1,2,6,4,5]=>8
[3,1,2,6,7,5,4]=>[3,1,2,6,5,4]=>8
[3,1,2,7,4,5,6]=>[3,1,2,4,5,6]=>6
[3,1,2,7,4,6,5]=>[3,1,2,4,6,5]=>7
[3,1,2,7,5,4,6]=>[3,1,2,5,4,6]=>7
[3,1,2,7,5,6,4]=>[3,1,2,5,6,4]=>7
[3,1,2,7,6,4,5]=>[3,1,2,6,4,5]=>8
[3,1,2,7,6,5,4]=>[3,1,2,6,5,4]=>8
[3,1,4,2,5,6,7]=>[3,1,4,2,5,6]=>7
[3,1,4,2,5,7,6]=>[3,1,4,2,5,6]=>7
[3,1,4,2,6,5,7]=>[3,1,4,2,6,5]=>8
[3,1,4,2,6,7,5]=>[3,1,4,2,6,5]=>8
[3,1,4,2,7,5,6]=>[3,1,4,2,5,6]=>7
[3,1,4,2,7,6,5]=>[3,1,4,2,6,5]=>8
[3,1,4,5,2,6,7]=>[3,1,4,5,2,6]=>7
[3,1,4,5,2,7,6]=>[3,1,4,5,2,6]=>7
[3,1,4,5,6,2,7]=>[3,1,4,5,6,2]=>7
[3,1,4,5,6,7,2]=>[3,1,4,5,6,2]=>7
[3,1,4,5,7,2,6]=>[3,1,4,5,2,6]=>7
[3,1,4,5,7,6,2]=>[3,1,4,5,6,2]=>7
[3,1,4,6,2,5,7]=>[3,1,4,6,2,5]=>8
[3,1,4,6,2,7,5]=>[3,1,4,6,2,5]=>8
[3,1,4,6,5,2,7]=>[3,1,4,6,5,2]=>8
[3,1,4,6,5,7,2]=>[3,1,4,6,5,2]=>8
[3,1,4,6,7,2,5]=>[3,1,4,6,2,5]=>8
[3,1,4,6,7,5,2]=>[3,1,4,6,5,2]=>8
[3,1,4,7,2,5,6]=>[3,1,4,2,5,6]=>7
[3,1,4,7,2,6,5]=>[3,1,4,2,6,5]=>8
[3,1,4,7,5,2,6]=>[3,1,4,5,2,6]=>7
[3,1,4,7,5,6,2]=>[3,1,4,5,6,2]=>7
[3,1,4,7,6,2,5]=>[3,1,4,6,2,5]=>8
[3,1,4,7,6,5,2]=>[3,1,4,6,5,2]=>8
[3,1,5,2,4,6,7]=>[3,1,5,2,4,6]=>8
[3,1,5,2,4,7,6]=>[3,1,5,2,4,6]=>8
[3,1,5,2,6,4,7]=>[3,1,5,2,6,4]=>8
[3,1,5,2,6,7,4]=>[3,1,5,2,6,4]=>8
[3,1,5,2,7,4,6]=>[3,1,5,2,4,6]=>8
[3,1,5,2,7,6,4]=>[3,1,5,2,6,4]=>8
[3,1,5,4,2,6,7]=>[3,1,5,4,2,6]=>8
[3,1,5,4,2,7,6]=>[3,1,5,4,2,6]=>8
[3,1,5,4,6,2,7]=>[3,1,5,4,6,2]=>8
[3,1,5,4,6,7,2]=>[3,1,5,4,6,2]=>8
[3,1,5,4,7,2,6]=>[3,1,5,4,2,6]=>8
[3,1,5,4,7,6,2]=>[3,1,5,4,6,2]=>8
[3,1,5,6,2,4,7]=>[3,1,5,6,2,4]=>8
[3,1,5,6,2,7,4]=>[3,1,5,6,2,4]=>8
[3,1,5,6,4,2,7]=>[3,1,5,6,4,2]=>8
[3,1,5,6,4,7,2]=>[3,1,5,6,4,2]=>8
[3,1,5,6,7,2,4]=>[3,1,5,6,2,4]=>8
[3,1,5,6,7,4,2]=>[3,1,5,6,4,2]=>8
[3,1,5,7,2,4,6]=>[3,1,5,2,4,6]=>8
[3,1,5,7,2,6,4]=>[3,1,5,2,6,4]=>8
[3,1,5,7,4,2,6]=>[3,1,5,4,2,6]=>8
[3,1,5,7,4,6,2]=>[3,1,5,4,6,2]=>8
[3,1,5,7,6,2,4]=>[3,1,5,6,2,4]=>8
[3,1,5,7,6,4,2]=>[3,1,5,6,4,2]=>8
[3,1,6,2,4,5,7]=>[3,1,6,2,4,5]=>8
[3,1,6,2,4,7,5]=>[3,1,6,2,4,5]=>8
[3,1,6,2,5,4,7]=>[3,1,6,2,5,4]=>9
[3,1,6,2,5,7,4]=>[3,1,6,2,5,4]=>9
[3,1,6,2,7,4,5]=>[3,1,6,2,4,5]=>8
[3,1,6,2,7,5,4]=>[3,1,6,2,5,4]=>9
[3,1,6,4,2,5,7]=>[3,1,6,4,2,5]=>8
[3,1,6,4,2,7,5]=>[3,1,6,4,2,5]=>8
[3,1,6,4,5,2,7]=>[3,1,6,4,5,2]=>9
[3,1,6,4,5,7,2]=>[3,1,6,4,5,2]=>9
[3,1,6,4,7,2,5]=>[3,1,6,4,2,5]=>8
[3,1,6,4,7,5,2]=>[3,1,6,4,5,2]=>9
[3,1,6,5,2,4,7]=>[3,1,6,5,2,4]=>8
[3,1,6,5,2,7,4]=>[3,1,6,5,2,4]=>8
[3,1,6,5,4,2,7]=>[3,1,6,5,4,2]=>8
[3,1,6,5,4,7,2]=>[3,1,6,5,4,2]=>8
[3,1,6,5,7,2,4]=>[3,1,6,5,2,4]=>8
[3,1,6,5,7,4,2]=>[3,1,6,5,4,2]=>8
[3,1,6,7,2,4,5]=>[3,1,6,2,4,5]=>8
[3,1,6,7,2,5,4]=>[3,1,6,2,5,4]=>9
[3,1,6,7,4,2,5]=>[3,1,6,4,2,5]=>8
[3,1,6,7,4,5,2]=>[3,1,6,4,5,2]=>9
[3,1,6,7,5,2,4]=>[3,1,6,5,2,4]=>8
[3,1,6,7,5,4,2]=>[3,1,6,5,4,2]=>8
[3,1,7,2,4,5,6]=>[3,1,2,4,5,6]=>6
[3,1,7,2,4,6,5]=>[3,1,2,4,6,5]=>7
[3,1,7,2,5,4,6]=>[3,1,2,5,4,6]=>7
[3,1,7,2,5,6,4]=>[3,1,2,5,6,4]=>7
[3,1,7,2,6,4,5]=>[3,1,2,6,4,5]=>8
[3,1,7,2,6,5,4]=>[3,1,2,6,5,4]=>8
[3,1,7,4,2,5,6]=>[3,1,4,2,5,6]=>7
[3,1,7,4,2,6,5]=>[3,1,4,2,6,5]=>8
[3,1,7,4,5,2,6]=>[3,1,4,5,2,6]=>7
[3,1,7,4,5,6,2]=>[3,1,4,5,6,2]=>7
[3,1,7,4,6,2,5]=>[3,1,4,6,2,5]=>8
[3,1,7,4,6,5,2]=>[3,1,4,6,5,2]=>8
[3,1,7,5,2,4,6]=>[3,1,5,2,4,6]=>8
[3,1,7,5,2,6,4]=>[3,1,5,2,6,4]=>8
[3,1,7,5,4,2,6]=>[3,1,5,4,2,6]=>8
[3,1,7,5,4,6,2]=>[3,1,5,4,6,2]=>8
[3,1,7,5,6,2,4]=>[3,1,5,6,2,4]=>8
[3,1,7,5,6,4,2]=>[3,1,5,6,4,2]=>8
[3,1,7,6,2,4,5]=>[3,1,6,2,4,5]=>8
[3,1,7,6,2,5,4]=>[3,1,6,2,5,4]=>9
[3,1,7,6,4,2,5]=>[3,1,6,4,2,5]=>8
[3,1,7,6,4,5,2]=>[3,1,6,4,5,2]=>9
[3,1,7,6,5,2,4]=>[3,1,6,5,2,4]=>8
[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>8
[3,2,1,4,5,6,7]=>[3,2,1,4,5,6]=>6
[3,2,1,4,5,7,6]=>[3,2,1,4,5,6]=>6
[3,2,1,4,6,5,7]=>[3,2,1,4,6,5]=>7
[3,2,1,4,6,7,5]=>[3,2,1,4,6,5]=>7
[3,2,1,4,7,5,6]=>[3,2,1,4,5,6]=>6
[3,2,1,4,7,6,5]=>[3,2,1,4,6,5]=>7
[3,2,1,5,4,6,7]=>[3,2,1,5,4,6]=>7
[3,2,1,5,4,7,6]=>[3,2,1,5,4,6]=>7
[3,2,1,5,6,4,7]=>[3,2,1,5,6,4]=>7
[3,2,1,5,6,7,4]=>[3,2,1,5,6,4]=>7
[3,2,1,5,7,4,6]=>[3,2,1,5,4,6]=>7
[3,2,1,5,7,6,4]=>[3,2,1,5,6,4]=>7
[3,2,1,6,4,5,7]=>[3,2,1,6,4,5]=>8
[3,2,1,6,4,7,5]=>[3,2,1,6,4,5]=>8
[3,2,1,6,5,4,7]=>[3,2,1,6,5,4]=>8
[3,2,1,6,5,7,4]=>[3,2,1,6,5,4]=>8
[3,2,1,6,7,4,5]=>[3,2,1,6,4,5]=>8
[3,2,1,6,7,5,4]=>[3,2,1,6,5,4]=>8
[3,2,1,7,4,5,6]=>[3,2,1,4,5,6]=>6
[3,2,1,7,4,6,5]=>[3,2,1,4,6,5]=>7
[3,2,1,7,5,4,6]=>[3,2,1,5,4,6]=>7
[3,2,1,7,5,6,4]=>[3,2,1,5,6,4]=>7
[3,2,1,7,6,4,5]=>[3,2,1,6,4,5]=>8
[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>8
[3,2,4,1,5,6,7]=>[3,2,4,1,5,6]=>7
[3,2,4,1,5,7,6]=>[3,2,4,1,5,6]=>7
[3,2,4,1,6,5,7]=>[3,2,4,1,6,5]=>8
[3,2,4,1,6,7,5]=>[3,2,4,1,6,5]=>8
[3,2,4,1,7,5,6]=>[3,2,4,1,5,6]=>7
[3,2,4,1,7,6,5]=>[3,2,4,1,6,5]=>8
[3,2,4,5,1,6,7]=>[3,2,4,5,1,6]=>7
[3,2,4,5,1,7,6]=>[3,2,4,5,1,6]=>7
[3,2,4,5,6,1,7]=>[3,2,4,5,6,1]=>7
[3,2,4,5,6,7,1]=>[3,2,4,5,6,1]=>7
[3,2,4,5,7,1,6]=>[3,2,4,5,1,6]=>7
[3,2,4,5,7,6,1]=>[3,2,4,5,6,1]=>7
[3,2,4,6,1,5,7]=>[3,2,4,6,1,5]=>8
[3,2,4,6,1,7,5]=>[3,2,4,6,1,5]=>8
[3,2,4,6,5,1,7]=>[3,2,4,6,5,1]=>8
[3,2,4,6,5,7,1]=>[3,2,4,6,5,1]=>8
[3,2,4,6,7,1,5]=>[3,2,4,6,1,5]=>8
[3,2,4,6,7,5,1]=>[3,2,4,6,5,1]=>8
[3,2,4,7,1,5,6]=>[3,2,4,1,5,6]=>7
[3,2,4,7,1,6,5]=>[3,2,4,1,6,5]=>8
[3,2,4,7,5,1,6]=>[3,2,4,5,1,6]=>7
[3,2,4,7,5,6,1]=>[3,2,4,5,6,1]=>7
[3,2,4,7,6,1,5]=>[3,2,4,6,1,5]=>8
[3,2,4,7,6,5,1]=>[3,2,4,6,5,1]=>8
[3,2,5,1,4,6,7]=>[3,2,5,1,4,6]=>8
[3,2,5,1,4,7,6]=>[3,2,5,1,4,6]=>8
[3,2,5,1,6,4,7]=>[3,2,5,1,6,4]=>8
[3,2,5,1,6,7,4]=>[3,2,5,1,6,4]=>8
[3,2,5,1,7,4,6]=>[3,2,5,1,4,6]=>8
[3,2,5,1,7,6,4]=>[3,2,5,1,6,4]=>8
[3,2,5,4,1,6,7]=>[3,2,5,4,1,6]=>8
[3,2,5,4,1,7,6]=>[3,2,5,4,1,6]=>8
[3,2,5,4,6,1,7]=>[3,2,5,4,6,1]=>8
[3,2,5,4,6,7,1]=>[3,2,5,4,6,1]=>8
[3,2,5,4,7,1,6]=>[3,2,5,4,1,6]=>8
[3,2,5,4,7,6,1]=>[3,2,5,4,6,1]=>8
[3,2,5,6,1,4,7]=>[3,2,5,6,1,4]=>8
[3,2,5,6,1,7,4]=>[3,2,5,6,1,4]=>8
[3,2,5,6,4,1,7]=>[3,2,5,6,4,1]=>8
[3,2,5,6,4,7,1]=>[3,2,5,6,4,1]=>8
[3,2,5,6,7,1,4]=>[3,2,5,6,1,4]=>8
[3,2,5,6,7,4,1]=>[3,2,5,6,4,1]=>8
[3,2,5,7,1,4,6]=>[3,2,5,1,4,6]=>8
[3,2,5,7,1,6,4]=>[3,2,5,1,6,4]=>8
[3,2,5,7,4,1,6]=>[3,2,5,4,1,6]=>8
[3,2,5,7,4,6,1]=>[3,2,5,4,6,1]=>8
[3,2,5,7,6,1,4]=>[3,2,5,6,1,4]=>8
[3,2,5,7,6,4,1]=>[3,2,5,6,4,1]=>8
[3,2,6,1,4,5,7]=>[3,2,6,1,4,5]=>8
[3,2,6,1,4,7,5]=>[3,2,6,1,4,5]=>8
[3,2,6,1,5,4,7]=>[3,2,6,1,5,4]=>9
[3,2,6,1,5,7,4]=>[3,2,6,1,5,4]=>9
[3,2,6,1,7,4,5]=>[3,2,6,1,4,5]=>8
[3,2,6,1,7,5,4]=>[3,2,6,1,5,4]=>9
[3,2,6,4,1,5,7]=>[3,2,6,4,1,5]=>8
[3,2,6,4,1,7,5]=>[3,2,6,4,1,5]=>8
[3,2,6,4,5,1,7]=>[3,2,6,4,5,1]=>9
[3,2,6,4,5,7,1]=>[3,2,6,4,5,1]=>9
[3,2,6,4,7,1,5]=>[3,2,6,4,1,5]=>8
[3,2,6,4,7,5,1]=>[3,2,6,4,5,1]=>9
[3,2,6,5,1,4,7]=>[3,2,6,5,1,4]=>8
[3,2,6,5,1,7,4]=>[3,2,6,5,1,4]=>8
[3,2,6,5,4,1,7]=>[3,2,6,5,4,1]=>8
[3,2,6,5,4,7,1]=>[3,2,6,5,4,1]=>8
[3,2,6,5,7,1,4]=>[3,2,6,5,1,4]=>8
[3,2,6,5,7,4,1]=>[3,2,6,5,4,1]=>8
[3,2,6,7,1,4,5]=>[3,2,6,1,4,5]=>8
[3,2,6,7,1,5,4]=>[3,2,6,1,5,4]=>9
[3,2,6,7,4,1,5]=>[3,2,6,4,1,5]=>8
[3,2,6,7,4,5,1]=>[3,2,6,4,5,1]=>9
[3,2,6,7,5,1,4]=>[3,2,6,5,1,4]=>8
[3,2,6,7,5,4,1]=>[3,2,6,5,4,1]=>8
[3,2,7,1,4,5,6]=>[3,2,1,4,5,6]=>6
[3,2,7,1,4,6,5]=>[3,2,1,4,6,5]=>7
[3,2,7,1,5,4,6]=>[3,2,1,5,4,6]=>7
[3,2,7,1,5,6,4]=>[3,2,1,5,6,4]=>7
[3,2,7,1,6,4,5]=>[3,2,1,6,4,5]=>8
[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>8
[3,2,7,4,1,5,6]=>[3,2,4,1,5,6]=>7
[3,2,7,4,1,6,5]=>[3,2,4,1,6,5]=>8
[3,2,7,4,5,1,6]=>[3,2,4,5,1,6]=>7
[3,2,7,4,5,6,1]=>[3,2,4,5,6,1]=>7
[3,2,7,4,6,1,5]=>[3,2,4,6,1,5]=>8
[3,2,7,4,6,5,1]=>[3,2,4,6,5,1]=>8
[3,2,7,5,1,4,6]=>[3,2,5,1,4,6]=>8
[3,2,7,5,1,6,4]=>[3,2,5,1,6,4]=>8
[3,2,7,5,4,1,6]=>[3,2,5,4,1,6]=>8
[3,2,7,5,4,6,1]=>[3,2,5,4,6,1]=>8
[3,2,7,5,6,1,4]=>[3,2,5,6,1,4]=>8
[3,2,7,5,6,4,1]=>[3,2,5,6,4,1]=>8
[3,2,7,6,1,4,5]=>[3,2,6,1,4,5]=>8
[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>9
[3,2,7,6,4,1,5]=>[3,2,6,4,1,5]=>8
[3,2,7,6,4,5,1]=>[3,2,6,4,5,1]=>9
[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>8
[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>8
[3,4,1,2,5,6,7]=>[3,4,1,2,5,6]=>7
[3,4,1,2,5,7,6]=>[3,4,1,2,5,6]=>7
[3,4,1,2,6,5,7]=>[3,4,1,2,6,5]=>8
[3,4,1,2,6,7,5]=>[3,4,1,2,6,5]=>8
[3,4,1,2,7,5,6]=>[3,4,1,2,5,6]=>7
[3,4,1,2,7,6,5]=>[3,4,1,2,6,5]=>8
[3,4,1,5,2,6,7]=>[3,4,1,5,2,6]=>8
[3,4,1,5,2,7,6]=>[3,4,1,5,2,6]=>8
[3,4,1,5,6,2,7]=>[3,4,1,5,6,2]=>8
[3,4,1,5,6,7,2]=>[3,4,1,5,6,2]=>8
[3,4,1,5,7,2,6]=>[3,4,1,5,2,6]=>8
[3,4,1,5,7,6,2]=>[3,4,1,5,6,2]=>8
[3,4,1,6,2,5,7]=>[3,4,1,6,2,5]=>9
[3,4,1,6,2,7,5]=>[3,4,1,6,2,5]=>9
[3,4,1,6,5,2,7]=>[3,4,1,6,5,2]=>9
[3,4,1,6,5,7,2]=>[3,4,1,6,5,2]=>9
[3,4,1,6,7,2,5]=>[3,4,1,6,2,5]=>9
[3,4,1,6,7,5,2]=>[3,4,1,6,5,2]=>9
[3,4,1,7,2,5,6]=>[3,4,1,2,5,6]=>7
[3,4,1,7,2,6,5]=>[3,4,1,2,6,5]=>8
[3,4,1,7,5,2,6]=>[3,4,1,5,2,6]=>8
[3,4,1,7,5,6,2]=>[3,4,1,5,6,2]=>8
[3,4,1,7,6,2,5]=>[3,4,1,6,2,5]=>9
[3,4,1,7,6,5,2]=>[3,4,1,6,5,2]=>9
[3,4,2,1,5,6,7]=>[3,4,2,1,5,6]=>7
[3,4,2,1,5,7,6]=>[3,4,2,1,5,6]=>7
[3,4,2,1,6,5,7]=>[3,4,2,1,6,5]=>8
[3,4,2,1,6,7,5]=>[3,4,2,1,6,5]=>8
[3,4,2,1,7,5,6]=>[3,4,2,1,5,6]=>7
[3,4,2,1,7,6,5]=>[3,4,2,1,6,5]=>8
[3,4,2,5,1,6,7]=>[3,4,2,5,1,6]=>8
[3,4,2,5,1,7,6]=>[3,4,2,5,1,6]=>8
[3,4,2,5,6,1,7]=>[3,4,2,5,6,1]=>8
[3,4,2,5,6,7,1]=>[3,4,2,5,6,1]=>8
[3,4,2,5,7,1,6]=>[3,4,2,5,1,6]=>8
[3,4,2,5,7,6,1]=>[3,4,2,5,6,1]=>8
[3,4,2,6,1,5,7]=>[3,4,2,6,1,5]=>9
[3,4,2,6,1,7,5]=>[3,4,2,6,1,5]=>9
[3,4,2,6,5,1,7]=>[3,4,2,6,5,1]=>9
[3,4,2,6,5,7,1]=>[3,4,2,6,5,1]=>9
[3,4,2,6,7,1,5]=>[3,4,2,6,1,5]=>9
[3,4,2,6,7,5,1]=>[3,4,2,6,5,1]=>9
[3,4,2,7,1,5,6]=>[3,4,2,1,5,6]=>7
[3,4,2,7,1,6,5]=>[3,4,2,1,6,5]=>8
[3,4,2,7,5,1,6]=>[3,4,2,5,1,6]=>8
[3,4,2,7,5,6,1]=>[3,4,2,5,6,1]=>8
[3,4,2,7,6,1,5]=>[3,4,2,6,1,5]=>9
[3,4,2,7,6,5,1]=>[3,4,2,6,5,1]=>9
[3,4,5,1,2,6,7]=>[3,4,5,1,2,6]=>8
[3,4,5,1,2,7,6]=>[3,4,5,1,2,6]=>8
[3,4,5,1,6,2,7]=>[3,4,5,1,6,2]=>8
[3,4,5,1,6,7,2]=>[3,4,5,1,6,2]=>8
[3,4,5,1,7,2,6]=>[3,4,5,1,2,6]=>8
[3,4,5,1,7,6,2]=>[3,4,5,1,6,2]=>8
[3,4,5,2,1,6,7]=>[3,4,5,2,1,6]=>8
[3,4,5,2,1,7,6]=>[3,4,5,2,1,6]=>8
[3,4,5,2,6,1,7]=>[3,4,5,2,6,1]=>8
[3,4,5,2,6,7,1]=>[3,4,5,2,6,1]=>8
[3,4,5,2,7,1,6]=>[3,4,5,2,1,6]=>8
[3,4,5,2,7,6,1]=>[3,4,5,2,6,1]=>8
[3,4,5,6,1,2,7]=>[3,4,5,6,1,2]=>8
[3,4,5,6,1,7,2]=>[3,4,5,6,1,2]=>8
[3,4,5,6,2,1,7]=>[3,4,5,6,2,1]=>8
[3,4,5,6,2,7,1]=>[3,4,5,6,2,1]=>8
[3,4,5,6,7,1,2]=>[3,4,5,6,1,2]=>8
[3,4,5,6,7,2,1]=>[3,4,5,6,2,1]=>8
[3,4,5,7,1,2,6]=>[3,4,5,1,2,6]=>8
[3,4,5,7,1,6,2]=>[3,4,5,1,6,2]=>8
[3,4,5,7,2,1,6]=>[3,4,5,2,1,6]=>8
[3,4,5,7,2,6,1]=>[3,4,5,2,6,1]=>8
[3,4,5,7,6,1,2]=>[3,4,5,6,1,2]=>8
[3,4,5,7,6,2,1]=>[3,4,5,6,2,1]=>8
[3,4,6,1,2,5,7]=>[3,4,6,1,2,5]=>8
[3,4,6,1,2,7,5]=>[3,4,6,1,2,5]=>8
[3,4,6,1,5,2,7]=>[3,4,6,1,5,2]=>9
[3,4,6,1,5,7,2]=>[3,4,6,1,5,2]=>9
[3,4,6,1,7,2,5]=>[3,4,6,1,2,5]=>8
[3,4,6,1,7,5,2]=>[3,4,6,1,5,2]=>9
[3,4,6,2,1,5,7]=>[3,4,6,2,1,5]=>8
[3,4,6,2,1,7,5]=>[3,4,6,2,1,5]=>8
[3,4,6,2,5,1,7]=>[3,4,6,2,5,1]=>9
[3,4,6,2,5,7,1]=>[3,4,6,2,5,1]=>9
[3,4,6,2,7,1,5]=>[3,4,6,2,1,5]=>8
[3,4,6,2,7,5,1]=>[3,4,6,2,5,1]=>9
[3,4,6,5,1,2,7]=>[3,4,6,5,1,2]=>8
[3,4,6,5,1,7,2]=>[3,4,6,5,1,2]=>8
[3,4,6,5,2,1,7]=>[3,4,6,5,2,1]=>8
[3,4,6,5,2,7,1]=>[3,4,6,5,2,1]=>8
[3,4,6,5,7,1,2]=>[3,4,6,5,1,2]=>8
[3,4,6,5,7,2,1]=>[3,4,6,5,2,1]=>8
[3,4,6,7,1,2,5]=>[3,4,6,1,2,5]=>8
[3,4,6,7,1,5,2]=>[3,4,6,1,5,2]=>9
[3,4,6,7,2,1,5]=>[3,4,6,2,1,5]=>8
[3,4,6,7,2,5,1]=>[3,4,6,2,5,1]=>9
[3,4,6,7,5,1,2]=>[3,4,6,5,1,2]=>8
[3,4,6,7,5,2,1]=>[3,4,6,5,2,1]=>8
[3,4,7,1,2,5,6]=>[3,4,1,2,5,6]=>7
[3,4,7,1,2,6,5]=>[3,4,1,2,6,5]=>8
[3,4,7,1,5,2,6]=>[3,4,1,5,2,6]=>8
[3,4,7,1,5,6,2]=>[3,4,1,5,6,2]=>8
[3,4,7,1,6,2,5]=>[3,4,1,6,2,5]=>9
[3,4,7,1,6,5,2]=>[3,4,1,6,5,2]=>9
[3,4,7,2,1,5,6]=>[3,4,2,1,5,6]=>7
[3,4,7,2,1,6,5]=>[3,4,2,1,6,5]=>8
[3,4,7,2,5,1,6]=>[3,4,2,5,1,6]=>8
[3,4,7,2,5,6,1]=>[3,4,2,5,6,1]=>8
[3,4,7,2,6,1,5]=>[3,4,2,6,1,5]=>9
[3,4,7,2,6,5,1]=>[3,4,2,6,5,1]=>9
[3,4,7,5,1,2,6]=>[3,4,5,1,2,6]=>8
[3,4,7,5,1,6,2]=>[3,4,5,1,6,2]=>8
[3,4,7,5,2,1,6]=>[3,4,5,2,1,6]=>8
[3,4,7,5,2,6,1]=>[3,4,5,2,6,1]=>8
[3,4,7,5,6,1,2]=>[3,4,5,6,1,2]=>8
[3,4,7,5,6,2,1]=>[3,4,5,6,2,1]=>8
[3,4,7,6,1,2,5]=>[3,4,6,1,2,5]=>8
[3,4,7,6,1,5,2]=>[3,4,6,1,5,2]=>9
[3,4,7,6,2,1,5]=>[3,4,6,2,1,5]=>8
[3,4,7,6,2,5,1]=>[3,4,6,2,5,1]=>9
[3,4,7,6,5,1,2]=>[3,4,6,5,1,2]=>8
[3,4,7,6,5,2,1]=>[3,4,6,5,2,1]=>8
[3,5,1,2,4,6,7]=>[3,5,1,2,4,6]=>7
[3,5,1,2,4,7,6]=>[3,5,1,2,4,6]=>7
[3,5,1,2,6,4,7]=>[3,5,1,2,6,4]=>8
[3,5,1,2,6,7,4]=>[3,5,1,2,6,4]=>8
[3,5,1,2,7,4,6]=>[3,5,1,2,4,6]=>7
[3,5,1,2,7,6,4]=>[3,5,1,2,6,4]=>8
[3,5,1,4,2,6,7]=>[3,5,1,4,2,6]=>8
[3,5,1,4,2,7,6]=>[3,5,1,4,2,6]=>8
[3,5,1,4,6,2,7]=>[3,5,1,4,6,2]=>8
[3,5,1,4,6,7,2]=>[3,5,1,4,6,2]=>8
[3,5,1,4,7,2,6]=>[3,5,1,4,2,6]=>8
[3,5,1,4,7,6,2]=>[3,5,1,4,6,2]=>8
[3,5,1,6,2,4,7]=>[3,5,1,6,2,4]=>9
[3,5,1,6,2,7,4]=>[3,5,1,6,2,4]=>9
[3,5,1,6,4,2,7]=>[3,5,1,6,4,2]=>9
[3,5,1,6,4,7,2]=>[3,5,1,6,4,2]=>9
[3,5,1,6,7,2,4]=>[3,5,1,6,2,4]=>9
[3,5,1,6,7,4,2]=>[3,5,1,6,4,2]=>9
[3,5,1,7,2,4,6]=>[3,5,1,2,4,6]=>7
[3,5,1,7,2,6,4]=>[3,5,1,2,6,4]=>8
[3,5,1,7,4,2,6]=>[3,5,1,4,2,6]=>8
[3,5,1,7,4,6,2]=>[3,5,1,4,6,2]=>8
[3,5,1,7,6,2,4]=>[3,5,1,6,2,4]=>9
[3,5,1,7,6,4,2]=>[3,5,1,6,4,2]=>9
[3,5,2,1,4,6,7]=>[3,5,2,1,4,6]=>7
[3,5,2,1,4,7,6]=>[3,5,2,1,4,6]=>7
[3,5,2,1,6,4,7]=>[3,5,2,1,6,4]=>8
[3,5,2,1,6,7,4]=>[3,5,2,1,6,4]=>8
[3,5,2,1,7,4,6]=>[3,5,2,1,4,6]=>7
[3,5,2,1,7,6,4]=>[3,5,2,1,6,4]=>8
[3,5,2,4,1,6,7]=>[3,5,2,4,1,6]=>8
[3,5,2,4,1,7,6]=>[3,5,2,4,1,6]=>8
[3,5,2,4,6,1,7]=>[3,5,2,4,6,1]=>8
[3,5,2,4,6,7,1]=>[3,5,2,4,6,1]=>8
[3,5,2,4,7,1,6]=>[3,5,2,4,1,6]=>8
[3,5,2,4,7,6,1]=>[3,5,2,4,6,1]=>8
[3,5,2,6,1,4,7]=>[3,5,2,6,1,4]=>9
[3,5,2,6,1,7,4]=>[3,5,2,6,1,4]=>9
[3,5,2,6,4,1,7]=>[3,5,2,6,4,1]=>9
[3,5,2,6,4,7,1]=>[3,5,2,6,4,1]=>9
[3,5,2,6,7,1,4]=>[3,5,2,6,1,4]=>9
[3,5,2,6,7,4,1]=>[3,5,2,6,4,1]=>9
[3,5,2,7,1,4,6]=>[3,5,2,1,4,6]=>7
[3,5,2,7,1,6,4]=>[3,5,2,1,6,4]=>8
[3,5,2,7,4,1,6]=>[3,5,2,4,1,6]=>8
[3,5,2,7,4,6,1]=>[3,5,2,4,6,1]=>8
[3,5,2,7,6,1,4]=>[3,5,2,6,1,4]=>9
[3,5,2,7,6,4,1]=>[3,5,2,6,4,1]=>9
[3,5,4,1,2,6,7]=>[3,5,4,1,2,6]=>7
[3,5,4,1,2,7,6]=>[3,5,4,1,2,6]=>7
[3,5,4,1,6,2,7]=>[3,5,4,1,6,2]=>8
[3,5,4,1,6,7,2]=>[3,5,4,1,6,2]=>8
[3,5,4,1,7,2,6]=>[3,5,4,1,2,6]=>7
[3,5,4,1,7,6,2]=>[3,5,4,1,6,2]=>8
[3,5,4,2,1,6,7]=>[3,5,4,2,1,6]=>7
[3,5,4,2,1,7,6]=>[3,5,4,2,1,6]=>7
[3,5,4,2,6,1,7]=>[3,5,4,2,6,1]=>8
[3,5,4,2,6,7,1]=>[3,5,4,2,6,1]=>8
[3,5,4,2,7,1,6]=>[3,5,4,2,1,6]=>7
[3,5,4,2,7,6,1]=>[3,5,4,2,6,1]=>8
[3,5,4,6,1,2,7]=>[3,5,4,6,1,2]=>9
[3,5,4,6,1,7,2]=>[3,5,4,6,1,2]=>9
[3,5,4,6,2,1,7]=>[3,5,4,6,2,1]=>9
[3,5,4,6,2,7,1]=>[3,5,4,6,2,1]=>9
[3,5,4,6,7,1,2]=>[3,5,4,6,1,2]=>9
[3,5,4,6,7,2,1]=>[3,5,4,6,2,1]=>9
[3,5,4,7,1,2,6]=>[3,5,4,1,2,6]=>7
[3,5,4,7,1,6,2]=>[3,5,4,1,6,2]=>8
[3,5,4,7,2,1,6]=>[3,5,4,2,1,6]=>7
[3,5,4,7,2,6,1]=>[3,5,4,2,6,1]=>8
[3,5,4,7,6,1,2]=>[3,5,4,6,1,2]=>9
[3,5,4,7,6,2,1]=>[3,5,4,6,2,1]=>9
[3,5,6,1,2,4,7]=>[3,5,6,1,2,4]=>8
[3,5,6,1,2,7,4]=>[3,5,6,1,2,4]=>8
[3,5,6,1,4,2,7]=>[3,5,6,1,4,2]=>9
[3,5,6,1,4,7,2]=>[3,5,6,1,4,2]=>9
[3,5,6,1,7,2,4]=>[3,5,6,1,2,4]=>8
[3,5,6,1,7,4,2]=>[3,5,6,1,4,2]=>9
[3,5,6,2,1,4,7]=>[3,5,6,2,1,4]=>8
[3,5,6,2,1,7,4]=>[3,5,6,2,1,4]=>8
[3,5,6,2,4,1,7]=>[3,5,6,2,4,1]=>9
[3,5,6,2,4,7,1]=>[3,5,6,2,4,1]=>9
[3,5,6,2,7,1,4]=>[3,5,6,2,1,4]=>8
[3,5,6,2,7,4,1]=>[3,5,6,2,4,1]=>9
[3,5,6,4,1,2,7]=>[3,5,6,4,1,2]=>8
[3,5,6,4,1,7,2]=>[3,5,6,4,1,2]=>8
[3,5,6,4,2,1,7]=>[3,5,6,4,2,1]=>8
[3,5,6,4,2,7,1]=>[3,5,6,4,2,1]=>8
[3,5,6,4,7,1,2]=>[3,5,6,4,1,2]=>8
[3,5,6,4,7,2,1]=>[3,5,6,4,2,1]=>8
[3,5,6,7,1,2,4]=>[3,5,6,1,2,4]=>8
[3,5,6,7,1,4,2]=>[3,5,6,1,4,2]=>9
[3,5,6,7,2,1,4]=>[3,5,6,2,1,4]=>8
[3,5,6,7,2,4,1]=>[3,5,6,2,4,1]=>9
[3,5,6,7,4,1,2]=>[3,5,6,4,1,2]=>8
[3,5,6,7,4,2,1]=>[3,5,6,4,2,1]=>8
[3,5,7,1,2,4,6]=>[3,5,1,2,4,6]=>7
[3,5,7,1,2,6,4]=>[3,5,1,2,6,4]=>8
[3,5,7,1,4,2,6]=>[3,5,1,4,2,6]=>8
[3,5,7,1,4,6,2]=>[3,5,1,4,6,2]=>8
[3,5,7,1,6,2,4]=>[3,5,1,6,2,4]=>9
[3,5,7,1,6,4,2]=>[3,5,1,6,4,2]=>9
[3,5,7,2,1,4,6]=>[3,5,2,1,4,6]=>7
[3,5,7,2,1,6,4]=>[3,5,2,1,6,4]=>8
[3,5,7,2,4,1,6]=>[3,5,2,4,1,6]=>8
[3,5,7,2,4,6,1]=>[3,5,2,4,6,1]=>8
[3,5,7,2,6,1,4]=>[3,5,2,6,1,4]=>9
[3,5,7,2,6,4,1]=>[3,5,2,6,4,1]=>9
[3,5,7,4,1,2,6]=>[3,5,4,1,2,6]=>7
[3,5,7,4,1,6,2]=>[3,5,4,1,6,2]=>8
[3,5,7,4,2,1,6]=>[3,5,4,2,1,6]=>7
[3,5,7,4,2,6,1]=>[3,5,4,2,6,1]=>8
[3,5,7,4,6,1,2]=>[3,5,4,6,1,2]=>9
[3,5,7,4,6,2,1]=>[3,5,4,6,2,1]=>9
[3,5,7,6,1,2,4]=>[3,5,6,1,2,4]=>8
[3,5,7,6,1,4,2]=>[3,5,6,1,4,2]=>9
[3,5,7,6,2,1,4]=>[3,5,6,2,1,4]=>8
[3,5,7,6,2,4,1]=>[3,5,6,2,4,1]=>9
[3,5,7,6,4,1,2]=>[3,5,6,4,1,2]=>8
[3,5,7,6,4,2,1]=>[3,5,6,4,2,1]=>8
[3,6,1,2,4,5,7]=>[3,6,1,2,4,5]=>7
[3,6,1,2,4,7,5]=>[3,6,1,2,4,5]=>7
[3,6,1,2,5,4,7]=>[3,6,1,2,5,4]=>8
[3,6,1,2,5,7,4]=>[3,6,1,2,5,4]=>8
[3,6,1,2,7,4,5]=>[3,6,1,2,4,5]=>7
[3,6,1,2,7,5,4]=>[3,6,1,2,5,4]=>8
[3,6,1,4,2,5,7]=>[3,6,1,4,2,5]=>8
[3,6,1,4,2,7,5]=>[3,6,1,4,2,5]=>8
[3,6,1,4,5,2,7]=>[3,6,1,4,5,2]=>8
[3,6,1,4,5,7,2]=>[3,6,1,4,5,2]=>8
[3,6,1,4,7,2,5]=>[3,6,1,4,2,5]=>8
[3,6,1,4,7,5,2]=>[3,6,1,4,5,2]=>8
[3,6,1,5,2,4,7]=>[3,6,1,5,2,4]=>8
[3,6,1,5,2,7,4]=>[3,6,1,5,2,4]=>8
[3,6,1,5,4,2,7]=>[3,6,1,5,4,2]=>8
[3,6,1,5,4,7,2]=>[3,6,1,5,4,2]=>8
[3,6,1,5,7,2,4]=>[3,6,1,5,2,4]=>8
[3,6,1,5,7,4,2]=>[3,6,1,5,4,2]=>8
[3,6,1,7,2,4,5]=>[3,6,1,2,4,5]=>7
[3,6,1,7,2,5,4]=>[3,6,1,2,5,4]=>8
[3,6,1,7,4,2,5]=>[3,6,1,4,2,5]=>8
[3,6,1,7,4,5,2]=>[3,6,1,4,5,2]=>8
[3,6,1,7,5,2,4]=>[3,6,1,5,2,4]=>8
[3,6,1,7,5,4,2]=>[3,6,1,5,4,2]=>8
[3,6,2,1,4,5,7]=>[3,6,2,1,4,5]=>7
[3,6,2,1,4,7,5]=>[3,6,2,1,4,5]=>7
[3,6,2,1,5,4,7]=>[3,6,2,1,5,4]=>8
[3,6,2,1,5,7,4]=>[3,6,2,1,5,4]=>8
[3,6,2,1,7,4,5]=>[3,6,2,1,4,5]=>7
[3,6,2,1,7,5,4]=>[3,6,2,1,5,4]=>8
[3,6,2,4,1,5,7]=>[3,6,2,4,1,5]=>8
[3,6,2,4,1,7,5]=>[3,6,2,4,1,5]=>8
[3,6,2,4,5,1,7]=>[3,6,2,4,5,1]=>8
[3,6,2,4,5,7,1]=>[3,6,2,4,5,1]=>8
[3,6,2,4,7,1,5]=>[3,6,2,4,1,5]=>8
[3,6,2,4,7,5,1]=>[3,6,2,4,5,1]=>8
[3,6,2,5,1,4,7]=>[3,6,2,5,1,4]=>8
[3,6,2,5,1,7,4]=>[3,6,2,5,1,4]=>8
[3,6,2,5,4,1,7]=>[3,6,2,5,4,1]=>8
[3,6,2,5,4,7,1]=>[3,6,2,5,4,1]=>8
[3,6,2,5,7,1,4]=>[3,6,2,5,1,4]=>8
[3,6,2,5,7,4,1]=>[3,6,2,5,4,1]=>8
[3,6,2,7,1,4,5]=>[3,6,2,1,4,5]=>7
[3,6,2,7,1,5,4]=>[3,6,2,1,5,4]=>8
[3,6,2,7,4,1,5]=>[3,6,2,4,1,5]=>8
[3,6,2,7,4,5,1]=>[3,6,2,4,5,1]=>8
[3,6,2,7,5,1,4]=>[3,6,2,5,1,4]=>8
[3,6,2,7,5,4,1]=>[3,6,2,5,4,1]=>8
[3,6,4,1,2,5,7]=>[3,6,4,1,2,5]=>7
[3,6,4,1,2,7,5]=>[3,6,4,1,2,5]=>7
[3,6,4,1,5,2,7]=>[3,6,4,1,5,2]=>8
[3,6,4,1,5,7,2]=>[3,6,4,1,5,2]=>8
[3,6,4,1,7,2,5]=>[3,6,4,1,2,5]=>7
[3,6,4,1,7,5,2]=>[3,6,4,1,5,2]=>8
[3,6,4,2,1,5,7]=>[3,6,4,2,1,5]=>7
[3,6,4,2,1,7,5]=>[3,6,4,2,1,5]=>7
[3,6,4,2,5,1,7]=>[3,6,4,2,5,1]=>8
[3,6,4,2,5,7,1]=>[3,6,4,2,5,1]=>8
[3,6,4,2,7,1,5]=>[3,6,4,2,1,5]=>7
[3,6,4,2,7,5,1]=>[3,6,4,2,5,1]=>8
[3,6,4,5,1,2,7]=>[3,6,4,5,1,2]=>8
[3,6,4,5,1,7,2]=>[3,6,4,5,1,2]=>8
[3,6,4,5,2,1,7]=>[3,6,4,5,2,1]=>8
[3,6,4,5,2,7,1]=>[3,6,4,5,2,1]=>8
[3,6,4,5,7,1,2]=>[3,6,4,5,1,2]=>8
[3,6,4,5,7,2,1]=>[3,6,4,5,2,1]=>8
[3,6,4,7,1,2,5]=>[3,6,4,1,2,5]=>7
[3,6,4,7,1,5,2]=>[3,6,4,1,5,2]=>8
[3,6,4,7,2,1,5]=>[3,6,4,2,1,5]=>7
[3,6,4,7,2,5,1]=>[3,6,4,2,5,1]=>8
[3,6,4,7,5,1,2]=>[3,6,4,5,1,2]=>8
[3,6,4,7,5,2,1]=>[3,6,4,5,2,1]=>8
[3,6,5,1,2,4,7]=>[3,6,5,1,2,4]=>7
[3,6,5,1,2,7,4]=>[3,6,5,1,2,4]=>7
[3,6,5,1,4,2,7]=>[3,6,5,1,4,2]=>8
[3,6,5,1,4,7,2]=>[3,6,5,1,4,2]=>8
[3,6,5,1,7,2,4]=>[3,6,5,1,2,4]=>7
[3,6,5,1,7,4,2]=>[3,6,5,1,4,2]=>8
[3,6,5,2,1,4,7]=>[3,6,5,2,1,4]=>7
[3,6,5,2,1,7,4]=>[3,6,5,2,1,4]=>7
[3,6,5,2,4,1,7]=>[3,6,5,2,4,1]=>8
[3,6,5,2,4,7,1]=>[3,6,5,2,4,1]=>8
[3,6,5,2,7,1,4]=>[3,6,5,2,1,4]=>7
[3,6,5,2,7,4,1]=>[3,6,5,2,4,1]=>8
[3,6,5,4,1,2,7]=>[3,6,5,4,1,2]=>7
[3,6,5,4,1,7,2]=>[3,6,5,4,1,2]=>7
[3,6,5,4,2,1,7]=>[3,6,5,4,2,1]=>7
[3,6,5,4,2,7,1]=>[3,6,5,4,2,1]=>7
[3,6,5,4,7,1,2]=>[3,6,5,4,1,2]=>7
[3,6,5,4,7,2,1]=>[3,6,5,4,2,1]=>7
[3,6,5,7,1,2,4]=>[3,6,5,1,2,4]=>7
[3,6,5,7,1,4,2]=>[3,6,5,1,4,2]=>8
[3,6,5,7,2,1,4]=>[3,6,5,2,1,4]=>7
[3,6,5,7,2,4,1]=>[3,6,5,2,4,1]=>8
[3,6,5,7,4,1,2]=>[3,6,5,4,1,2]=>7
[3,6,5,7,4,2,1]=>[3,6,5,4,2,1]=>7
[3,6,7,1,2,4,5]=>[3,6,1,2,4,5]=>7
[3,6,7,1,2,5,4]=>[3,6,1,2,5,4]=>8
[3,6,7,1,4,2,5]=>[3,6,1,4,2,5]=>8
[3,6,7,1,4,5,2]=>[3,6,1,4,5,2]=>8
[3,6,7,1,5,2,4]=>[3,6,1,5,2,4]=>8
[3,6,7,1,5,4,2]=>[3,6,1,5,4,2]=>8
[3,6,7,2,1,4,5]=>[3,6,2,1,4,5]=>7
[3,6,7,2,1,5,4]=>[3,6,2,1,5,4]=>8
[3,6,7,2,4,1,5]=>[3,6,2,4,1,5]=>8
[3,6,7,2,4,5,1]=>[3,6,2,4,5,1]=>8
[3,6,7,2,5,1,4]=>[3,6,2,5,1,4]=>8
[3,6,7,2,5,4,1]=>[3,6,2,5,4,1]=>8
[3,6,7,4,1,2,5]=>[3,6,4,1,2,5]=>7
[3,6,7,4,1,5,2]=>[3,6,4,1,5,2]=>8
[3,6,7,4,2,1,5]=>[3,6,4,2,1,5]=>7
[3,6,7,4,2,5,1]=>[3,6,4,2,5,1]=>8
[3,6,7,4,5,1,2]=>[3,6,4,5,1,2]=>8
[3,6,7,4,5,2,1]=>[3,6,4,5,2,1]=>8
[3,6,7,5,1,2,4]=>[3,6,5,1,2,4]=>7
[3,6,7,5,1,4,2]=>[3,6,5,1,4,2]=>8
[3,6,7,5,2,1,4]=>[3,6,5,2,1,4]=>7
[3,6,7,5,2,4,1]=>[3,6,5,2,4,1]=>8
[3,6,7,5,4,1,2]=>[3,6,5,4,1,2]=>7
[3,6,7,5,4,2,1]=>[3,6,5,4,2,1]=>7
[3,7,1,2,4,5,6]=>[3,1,2,4,5,6]=>6
[3,7,1,2,4,6,5]=>[3,1,2,4,6,5]=>7
[3,7,1,2,5,4,6]=>[3,1,2,5,4,6]=>7
[3,7,1,2,5,6,4]=>[3,1,2,5,6,4]=>7
[3,7,1,2,6,4,5]=>[3,1,2,6,4,5]=>8
[3,7,1,2,6,5,4]=>[3,1,2,6,5,4]=>8
[3,7,1,4,2,5,6]=>[3,1,4,2,5,6]=>7
[3,7,1,4,2,6,5]=>[3,1,4,2,6,5]=>8
[3,7,1,4,5,2,6]=>[3,1,4,5,2,6]=>7
[3,7,1,4,5,6,2]=>[3,1,4,5,6,2]=>7
[3,7,1,4,6,2,5]=>[3,1,4,6,2,5]=>8
[3,7,1,4,6,5,2]=>[3,1,4,6,5,2]=>8
[3,7,1,5,2,4,6]=>[3,1,5,2,4,6]=>8
[3,7,1,5,2,6,4]=>[3,1,5,2,6,4]=>8
[3,7,1,5,4,2,6]=>[3,1,5,4,2,6]=>8
[3,7,1,5,4,6,2]=>[3,1,5,4,6,2]=>8
[3,7,1,5,6,2,4]=>[3,1,5,6,2,4]=>8
[3,7,1,5,6,4,2]=>[3,1,5,6,4,2]=>8
[3,7,1,6,2,4,5]=>[3,1,6,2,4,5]=>8
[3,7,1,6,2,5,4]=>[3,1,6,2,5,4]=>9
[3,7,1,6,4,2,5]=>[3,1,6,4,2,5]=>8
[3,7,1,6,4,5,2]=>[3,1,6,4,5,2]=>9
[3,7,1,6,5,2,4]=>[3,1,6,5,2,4]=>8
[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>8
[3,7,2,1,4,5,6]=>[3,2,1,4,5,6]=>6
[3,7,2,1,4,6,5]=>[3,2,1,4,6,5]=>7
[3,7,2,1,5,4,6]=>[3,2,1,5,4,6]=>7
[3,7,2,1,5,6,4]=>[3,2,1,5,6,4]=>7
[3,7,2,1,6,4,5]=>[3,2,1,6,4,5]=>8
[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>8
[3,7,2,4,1,5,6]=>[3,2,4,1,5,6]=>7
[3,7,2,4,1,6,5]=>[3,2,4,1,6,5]=>8
[3,7,2,4,5,1,6]=>[3,2,4,5,1,6]=>7
[3,7,2,4,5,6,1]=>[3,2,4,5,6,1]=>7
[3,7,2,4,6,1,5]=>[3,2,4,6,1,5]=>8
[3,7,2,4,6,5,1]=>[3,2,4,6,5,1]=>8
[3,7,2,5,1,4,6]=>[3,2,5,1,4,6]=>8
[3,7,2,5,1,6,4]=>[3,2,5,1,6,4]=>8
[3,7,2,5,4,1,6]=>[3,2,5,4,1,6]=>8
[3,7,2,5,4,6,1]=>[3,2,5,4,6,1]=>8
[3,7,2,5,6,1,4]=>[3,2,5,6,1,4]=>8
[3,7,2,5,6,4,1]=>[3,2,5,6,4,1]=>8
[3,7,2,6,1,4,5]=>[3,2,6,1,4,5]=>8
[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>9
[3,7,2,6,4,1,5]=>[3,2,6,4,1,5]=>8
[3,7,2,6,4,5,1]=>[3,2,6,4,5,1]=>9
[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>8
[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>8
[3,7,4,1,2,5,6]=>[3,4,1,2,5,6]=>7
[3,7,4,1,2,6,5]=>[3,4,1,2,6,5]=>8
[3,7,4,1,5,2,6]=>[3,4,1,5,2,6]=>8
[3,7,4,1,5,6,2]=>[3,4,1,5,6,2]=>8
[3,7,4,1,6,2,5]=>[3,4,1,6,2,5]=>9
[3,7,4,1,6,5,2]=>[3,4,1,6,5,2]=>9
[3,7,4,2,1,5,6]=>[3,4,2,1,5,6]=>7
[3,7,4,2,1,6,5]=>[3,4,2,1,6,5]=>8
[3,7,4,2,5,1,6]=>[3,4,2,5,1,6]=>8
[3,7,4,2,5,6,1]=>[3,4,2,5,6,1]=>8
[3,7,4,2,6,1,5]=>[3,4,2,6,1,5]=>9
[3,7,4,2,6,5,1]=>[3,4,2,6,5,1]=>9
[3,7,4,5,1,2,6]=>[3,4,5,1,2,6]=>8
[3,7,4,5,1,6,2]=>[3,4,5,1,6,2]=>8
[3,7,4,5,2,1,6]=>[3,4,5,2,1,6]=>8
[3,7,4,5,2,6,1]=>[3,4,5,2,6,1]=>8
[3,7,4,5,6,1,2]=>[3,4,5,6,1,2]=>8
[3,7,4,5,6,2,1]=>[3,4,5,6,2,1]=>8
[3,7,4,6,1,2,5]=>[3,4,6,1,2,5]=>8
[3,7,4,6,1,5,2]=>[3,4,6,1,5,2]=>9
[3,7,4,6,2,1,5]=>[3,4,6,2,1,5]=>8
[3,7,4,6,2,5,1]=>[3,4,6,2,5,1]=>9
[3,7,4,6,5,1,2]=>[3,4,6,5,1,2]=>8
[3,7,4,6,5,2,1]=>[3,4,6,5,2,1]=>8
[3,7,5,1,2,4,6]=>[3,5,1,2,4,6]=>7
[3,7,5,1,2,6,4]=>[3,5,1,2,6,4]=>8
[3,7,5,1,4,2,6]=>[3,5,1,4,2,6]=>8
[3,7,5,1,4,6,2]=>[3,5,1,4,6,2]=>8
[3,7,5,1,6,2,4]=>[3,5,1,6,2,4]=>9
[3,7,5,1,6,4,2]=>[3,5,1,6,4,2]=>9
[3,7,5,2,1,4,6]=>[3,5,2,1,4,6]=>7
[3,7,5,2,1,6,4]=>[3,5,2,1,6,4]=>8
[3,7,5,2,4,1,6]=>[3,5,2,4,1,6]=>8
[3,7,5,2,4,6,1]=>[3,5,2,4,6,1]=>8
[3,7,5,2,6,1,4]=>[3,5,2,6,1,4]=>9
[3,7,5,2,6,4,1]=>[3,5,2,6,4,1]=>9
[3,7,5,4,1,2,6]=>[3,5,4,1,2,6]=>7
[3,7,5,4,1,6,2]=>[3,5,4,1,6,2]=>8
[3,7,5,4,2,1,6]=>[3,5,4,2,1,6]=>7
[3,7,5,4,2,6,1]=>[3,5,4,2,6,1]=>8
[3,7,5,4,6,1,2]=>[3,5,4,6,1,2]=>9
[3,7,5,4,6,2,1]=>[3,5,4,6,2,1]=>9
[3,7,5,6,1,2,4]=>[3,5,6,1,2,4]=>8
[3,7,5,6,1,4,2]=>[3,5,6,1,4,2]=>9
[3,7,5,6,2,1,4]=>[3,5,6,2,1,4]=>8
[3,7,5,6,2,4,1]=>[3,5,6,2,4,1]=>9
[3,7,5,6,4,1,2]=>[3,5,6,4,1,2]=>8
[3,7,5,6,4,2,1]=>[3,5,6,4,2,1]=>8
[3,7,6,1,2,4,5]=>[3,6,1,2,4,5]=>7
[3,7,6,1,2,5,4]=>[3,6,1,2,5,4]=>8
[3,7,6,1,4,2,5]=>[3,6,1,4,2,5]=>8
[3,7,6,1,4,5,2]=>[3,6,1,4,5,2]=>8
[3,7,6,1,5,2,4]=>[3,6,1,5,2,4]=>8
[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>8
[3,7,6,2,1,4,5]=>[3,6,2,1,4,5]=>7
[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>8
[3,7,6,2,4,1,5]=>[3,6,2,4,1,5]=>8
[3,7,6,2,4,5,1]=>[3,6,2,4,5,1]=>8
[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>8
[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>8
[3,7,6,4,1,2,5]=>[3,6,4,1,2,5]=>7
[3,7,6,4,1,5,2]=>[3,6,4,1,5,2]=>8
[3,7,6,4,2,1,5]=>[3,6,4,2,1,5]=>7
[3,7,6,4,2,5,1]=>[3,6,4,2,5,1]=>8
[3,7,6,4,5,1,2]=>[3,6,4,5,1,2]=>8
[3,7,6,4,5,2,1]=>[3,6,4,5,2,1]=>8
[3,7,6,5,1,2,4]=>[3,6,5,1,2,4]=>7
[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>8
[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>7
[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>8
[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>7
[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>7
[4,1,2,3,5,6,7]=>[4,1,2,3,5,6]=>6
[4,1,2,3,5,7,6]=>[4,1,2,3,5,6]=>6
[4,1,2,3,6,5,7]=>[4,1,2,3,6,5]=>7
[4,1,2,3,6,7,5]=>[4,1,2,3,6,5]=>7
[4,1,2,3,7,5,6]=>[4,1,2,3,5,6]=>6
[4,1,2,3,7,6,5]=>[4,1,2,3,6,5]=>7
[4,1,2,5,3,6,7]=>[4,1,2,5,3,6]=>7
[4,1,2,5,3,7,6]=>[4,1,2,5,3,6]=>7
[4,1,2,5,6,3,7]=>[4,1,2,5,6,3]=>7
[4,1,2,5,6,7,3]=>[4,1,2,5,6,3]=>7
[4,1,2,5,7,3,6]=>[4,1,2,5,3,6]=>7
[4,1,2,5,7,6,3]=>[4,1,2,5,6,3]=>7
[4,1,2,6,3,5,7]=>[4,1,2,6,3,5]=>8
[4,1,2,6,3,7,5]=>[4,1,2,6,3,5]=>8
[4,1,2,6,5,3,7]=>[4,1,2,6,5,3]=>8
[4,1,2,6,5,7,3]=>[4,1,2,6,5,3]=>8
[4,1,2,6,7,3,5]=>[4,1,2,6,3,5]=>8
[4,1,2,6,7,5,3]=>[4,1,2,6,5,3]=>8
[4,1,2,7,3,5,6]=>[4,1,2,3,5,6]=>6
[4,1,2,7,3,6,5]=>[4,1,2,3,6,5]=>7
[4,1,2,7,5,3,6]=>[4,1,2,5,3,6]=>7
[4,1,2,7,5,6,3]=>[4,1,2,5,6,3]=>7
[4,1,2,7,6,3,5]=>[4,1,2,6,3,5]=>8
[4,1,2,7,6,5,3]=>[4,1,2,6,5,3]=>8
[4,1,3,2,5,6,7]=>[4,1,3,2,5,6]=>7
[4,1,3,2,5,7,6]=>[4,1,3,2,5,6]=>7
[4,1,3,2,6,5,7]=>[4,1,3,2,6,5]=>8
[4,1,3,2,6,7,5]=>[4,1,3,2,6,5]=>8
[4,1,3,2,7,5,6]=>[4,1,3,2,5,6]=>7
[4,1,3,2,7,6,5]=>[4,1,3,2,6,5]=>8
[4,1,3,5,2,6,7]=>[4,1,3,5,2,6]=>7
[4,1,3,5,2,7,6]=>[4,1,3,5,2,6]=>7
[4,1,3,5,6,2,7]=>[4,1,3,5,6,2]=>7
[4,1,3,5,6,7,2]=>[4,1,3,5,6,2]=>7
[4,1,3,5,7,2,6]=>[4,1,3,5,2,6]=>7
[4,1,3,5,7,6,2]=>[4,1,3,5,6,2]=>7
[4,1,3,6,2,5,7]=>[4,1,3,6,2,5]=>8
[4,1,3,6,2,7,5]=>[4,1,3,6,2,5]=>8
[4,1,3,6,5,2,7]=>[4,1,3,6,5,2]=>8
[4,1,3,6,5,7,2]=>[4,1,3,6,5,2]=>8
[4,1,3,6,7,2,5]=>[4,1,3,6,2,5]=>8
[4,1,3,6,7,5,2]=>[4,1,3,6,5,2]=>8
[4,1,3,7,2,5,6]=>[4,1,3,2,5,6]=>7
[4,1,3,7,2,6,5]=>[4,1,3,2,6,5]=>8
[4,1,3,7,5,2,6]=>[4,1,3,5,2,6]=>7
[4,1,3,7,5,6,2]=>[4,1,3,5,6,2]=>7
[4,1,3,7,6,2,5]=>[4,1,3,6,2,5]=>8
[4,1,3,7,6,5,2]=>[4,1,3,6,5,2]=>8
[4,1,5,2,3,6,7]=>[4,1,5,2,3,6]=>8
[4,1,5,2,3,7,6]=>[4,1,5,2,3,6]=>8
[4,1,5,2,6,3,7]=>[4,1,5,2,6,3]=>8
[4,1,5,2,6,7,3]=>[4,1,5,2,6,3]=>8
[4,1,5,2,7,3,6]=>[4,1,5,2,3,6]=>8
[4,1,5,2,7,6,3]=>[4,1,5,2,6,3]=>8
[4,1,5,3,2,6,7]=>[4,1,5,3,2,6]=>8
[4,1,5,3,2,7,6]=>[4,1,5,3,2,6]=>8
[4,1,5,3,6,2,7]=>[4,1,5,3,6,2]=>8
[4,1,5,3,6,7,2]=>[4,1,5,3,6,2]=>8
[4,1,5,3,7,2,6]=>[4,1,5,3,2,6]=>8
[4,1,5,3,7,6,2]=>[4,1,5,3,6,2]=>8
[4,1,5,6,2,3,7]=>[4,1,5,6,2,3]=>8
[4,1,5,6,2,7,3]=>[4,1,5,6,2,3]=>8
[4,1,5,6,3,2,7]=>[4,1,5,6,3,2]=>8
[4,1,5,6,3,7,2]=>[4,1,5,6,3,2]=>8
[4,1,5,6,7,2,3]=>[4,1,5,6,2,3]=>8
[4,1,5,6,7,3,2]=>[4,1,5,6,3,2]=>8
[4,1,5,7,2,3,6]=>[4,1,5,2,3,6]=>8
[4,1,5,7,2,6,3]=>[4,1,5,2,6,3]=>8
[4,1,5,7,3,2,6]=>[4,1,5,3,2,6]=>8
[4,1,5,7,3,6,2]=>[4,1,5,3,6,2]=>8
[4,1,5,7,6,2,3]=>[4,1,5,6,2,3]=>8
[4,1,5,7,6,3,2]=>[4,1,5,6,3,2]=>8
[4,1,6,2,3,5,7]=>[4,1,6,2,3,5]=>8
[4,1,6,2,3,7,5]=>[4,1,6,2,3,5]=>8
[4,1,6,2,5,3,7]=>[4,1,6,2,5,3]=>9
[4,1,6,2,5,7,3]=>[4,1,6,2,5,3]=>9
[4,1,6,2,7,3,5]=>[4,1,6,2,3,5]=>8
[4,1,6,2,7,5,3]=>[4,1,6,2,5,3]=>9
[4,1,6,3,2,5,7]=>[4,1,6,3,2,5]=>8
[4,1,6,3,2,7,5]=>[4,1,6,3,2,5]=>8
[4,1,6,3,5,2,7]=>[4,1,6,3,5,2]=>9
[4,1,6,3,5,7,2]=>[4,1,6,3,5,2]=>9
[4,1,6,3,7,2,5]=>[4,1,6,3,2,5]=>8
[4,1,6,3,7,5,2]=>[4,1,6,3,5,2]=>9
[4,1,6,5,2,3,7]=>[4,1,6,5,2,3]=>8
[4,1,6,5,2,7,3]=>[4,1,6,5,2,3]=>8
[4,1,6,5,3,2,7]=>[4,1,6,5,3,2]=>8
[4,1,6,5,3,7,2]=>[4,1,6,5,3,2]=>8
[4,1,6,5,7,2,3]=>[4,1,6,5,2,3]=>8
[4,1,6,5,7,3,2]=>[4,1,6,5,3,2]=>8
[4,1,6,7,2,3,5]=>[4,1,6,2,3,5]=>8
[4,1,6,7,2,5,3]=>[4,1,6,2,5,3]=>9
[4,1,6,7,3,2,5]=>[4,1,6,3,2,5]=>8
[4,1,6,7,3,5,2]=>[4,1,6,3,5,2]=>9
[4,1,6,7,5,2,3]=>[4,1,6,5,2,3]=>8
[4,1,6,7,5,3,2]=>[4,1,6,5,3,2]=>8
[4,1,7,2,3,5,6]=>[4,1,2,3,5,6]=>6
[4,1,7,2,3,6,5]=>[4,1,2,3,6,5]=>7
[4,1,7,2,5,3,6]=>[4,1,2,5,3,6]=>7
[4,1,7,2,5,6,3]=>[4,1,2,5,6,3]=>7
[4,1,7,2,6,3,5]=>[4,1,2,6,3,5]=>8
[4,1,7,2,6,5,3]=>[4,1,2,6,5,3]=>8
[4,1,7,3,2,5,6]=>[4,1,3,2,5,6]=>7
[4,1,7,3,2,6,5]=>[4,1,3,2,6,5]=>8
[4,1,7,3,5,2,6]=>[4,1,3,5,2,6]=>7
[4,1,7,3,5,6,2]=>[4,1,3,5,6,2]=>7
[4,1,7,3,6,2,5]=>[4,1,3,6,2,5]=>8
[4,1,7,3,6,5,2]=>[4,1,3,6,5,2]=>8
[4,1,7,5,2,3,6]=>[4,1,5,2,3,6]=>8
[4,1,7,5,2,6,3]=>[4,1,5,2,6,3]=>8
[4,1,7,5,3,2,6]=>[4,1,5,3,2,6]=>8
[4,1,7,5,3,6,2]=>[4,1,5,3,6,2]=>8
[4,1,7,5,6,2,3]=>[4,1,5,6,2,3]=>8
[4,1,7,5,6,3,2]=>[4,1,5,6,3,2]=>8
[4,1,7,6,2,3,5]=>[4,1,6,2,3,5]=>8
[4,1,7,6,2,5,3]=>[4,1,6,2,5,3]=>9
[4,1,7,6,3,2,5]=>[4,1,6,3,2,5]=>8
[4,1,7,6,3,5,2]=>[4,1,6,3,5,2]=>9
[4,1,7,6,5,2,3]=>[4,1,6,5,2,3]=>8
[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>8
[4,2,1,3,5,6,7]=>[4,2,1,3,5,6]=>6
[4,2,1,3,5,7,6]=>[4,2,1,3,5,6]=>6
[4,2,1,3,6,5,7]=>[4,2,1,3,6,5]=>7
[4,2,1,3,6,7,5]=>[4,2,1,3,6,5]=>7
[4,2,1,3,7,5,6]=>[4,2,1,3,5,6]=>6
[4,2,1,3,7,6,5]=>[4,2,1,3,6,5]=>7
[4,2,1,5,3,6,7]=>[4,2,1,5,3,6]=>7
[4,2,1,5,3,7,6]=>[4,2,1,5,3,6]=>7
[4,2,1,5,6,3,7]=>[4,2,1,5,6,3]=>7
[4,2,1,5,6,7,3]=>[4,2,1,5,6,3]=>7
[4,2,1,5,7,3,6]=>[4,2,1,5,3,6]=>7
[4,2,1,5,7,6,3]=>[4,2,1,5,6,3]=>7
[4,2,1,6,3,5,7]=>[4,2,1,6,3,5]=>8
[4,2,1,6,3,7,5]=>[4,2,1,6,3,5]=>8
[4,2,1,6,5,3,7]=>[4,2,1,6,5,3]=>8
[4,2,1,6,5,7,3]=>[4,2,1,6,5,3]=>8
[4,2,1,6,7,3,5]=>[4,2,1,6,3,5]=>8
[4,2,1,6,7,5,3]=>[4,2,1,6,5,3]=>8
[4,2,1,7,3,5,6]=>[4,2,1,3,5,6]=>6
[4,2,1,7,3,6,5]=>[4,2,1,3,6,5]=>7
[4,2,1,7,5,3,6]=>[4,2,1,5,3,6]=>7
[4,2,1,7,5,6,3]=>[4,2,1,5,6,3]=>7
[4,2,1,7,6,3,5]=>[4,2,1,6,3,5]=>8
[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>8
[4,2,3,1,5,6,7]=>[4,2,3,1,5,6]=>7
[4,2,3,1,5,7,6]=>[4,2,3,1,5,6]=>7
[4,2,3,1,6,5,7]=>[4,2,3,1,6,5]=>8
[4,2,3,1,6,7,5]=>[4,2,3,1,6,5]=>8
[4,2,3,1,7,5,6]=>[4,2,3,1,5,6]=>7
[4,2,3,1,7,6,5]=>[4,2,3,1,6,5]=>8
[4,2,3,5,1,6,7]=>[4,2,3,5,1,6]=>7
[4,2,3,5,1,7,6]=>[4,2,3,5,1,6]=>7
[4,2,3,5,6,1,7]=>[4,2,3,5,6,1]=>7
[4,2,3,5,6,7,1]=>[4,2,3,5,6,1]=>7
[4,2,3,5,7,1,6]=>[4,2,3,5,1,6]=>7
[4,2,3,5,7,6,1]=>[4,2,3,5,6,1]=>7
[4,2,3,6,1,5,7]=>[4,2,3,6,1,5]=>8
[4,2,3,6,1,7,5]=>[4,2,3,6,1,5]=>8
[4,2,3,6,5,1,7]=>[4,2,3,6,5,1]=>8
[4,2,3,6,5,7,1]=>[4,2,3,6,5,1]=>8
[4,2,3,6,7,1,5]=>[4,2,3,6,1,5]=>8
[4,2,3,6,7,5,1]=>[4,2,3,6,5,1]=>8
[4,2,3,7,1,5,6]=>[4,2,3,1,5,6]=>7
[4,2,3,7,1,6,5]=>[4,2,3,1,6,5]=>8
[4,2,3,7,5,1,6]=>[4,2,3,5,1,6]=>7
[4,2,3,7,5,6,1]=>[4,2,3,5,6,1]=>7
[4,2,3,7,6,1,5]=>[4,2,3,6,1,5]=>8
[4,2,3,7,6,5,1]=>[4,2,3,6,5,1]=>8
[4,2,5,1,3,6,7]=>[4,2,5,1,3,6]=>8
[4,2,5,1,3,7,6]=>[4,2,5,1,3,6]=>8
[4,2,5,1,6,3,7]=>[4,2,5,1,6,3]=>8
[4,2,5,1,6,7,3]=>[4,2,5,1,6,3]=>8
[4,2,5,1,7,3,6]=>[4,2,5,1,3,6]=>8
[4,2,5,1,7,6,3]=>[4,2,5,1,6,3]=>8
[4,2,5,3,1,6,7]=>[4,2,5,3,1,6]=>8
[4,2,5,3,1,7,6]=>[4,2,5,3,1,6]=>8
[4,2,5,3,6,1,7]=>[4,2,5,3,6,1]=>8
[4,2,5,3,6,7,1]=>[4,2,5,3,6,1]=>8
[4,2,5,3,7,1,6]=>[4,2,5,3,1,6]=>8
[4,2,5,3,7,6,1]=>[4,2,5,3,6,1]=>8
[4,2,5,6,1,3,7]=>[4,2,5,6,1,3]=>8
[4,2,5,6,1,7,3]=>[4,2,5,6,1,3]=>8
[4,2,5,6,3,1,7]=>[4,2,5,6,3,1]=>8
[4,2,5,6,3,7,1]=>[4,2,5,6,3,1]=>8
[4,2,5,6,7,1,3]=>[4,2,5,6,1,3]=>8
[4,2,5,6,7,3,1]=>[4,2,5,6,3,1]=>8
[4,2,5,7,1,3,6]=>[4,2,5,1,3,6]=>8
[4,2,5,7,1,6,3]=>[4,2,5,1,6,3]=>8
[4,2,5,7,3,1,6]=>[4,2,5,3,1,6]=>8
[4,2,5,7,3,6,1]=>[4,2,5,3,6,1]=>8
[4,2,5,7,6,1,3]=>[4,2,5,6,1,3]=>8
[4,2,5,7,6,3,1]=>[4,2,5,6,3,1]=>8
[4,2,6,1,3,5,7]=>[4,2,6,1,3,5]=>8
[4,2,6,1,3,7,5]=>[4,2,6,1,3,5]=>8
[4,2,6,1,5,3,7]=>[4,2,6,1,5,3]=>9
[4,2,6,1,5,7,3]=>[4,2,6,1,5,3]=>9
[4,2,6,1,7,3,5]=>[4,2,6,1,3,5]=>8
[4,2,6,1,7,5,3]=>[4,2,6,1,5,3]=>9
[4,2,6,3,1,5,7]=>[4,2,6,3,1,5]=>8
[4,2,6,3,1,7,5]=>[4,2,6,3,1,5]=>8
[4,2,6,3,5,1,7]=>[4,2,6,3,5,1]=>9
[4,2,6,3,5,7,1]=>[4,2,6,3,5,1]=>9
[4,2,6,3,7,1,5]=>[4,2,6,3,1,5]=>8
[4,2,6,3,7,5,1]=>[4,2,6,3,5,1]=>9
[4,2,6,5,1,3,7]=>[4,2,6,5,1,3]=>8
[4,2,6,5,1,7,3]=>[4,2,6,5,1,3]=>8
[4,2,6,5,3,1,7]=>[4,2,6,5,3,1]=>8
[4,2,6,5,3,7,1]=>[4,2,6,5,3,1]=>8
[4,2,6,5,7,1,3]=>[4,2,6,5,1,3]=>8
[4,2,6,5,7,3,1]=>[4,2,6,5,3,1]=>8
[4,2,6,7,1,3,5]=>[4,2,6,1,3,5]=>8
[4,2,6,7,1,5,3]=>[4,2,6,1,5,3]=>9
[4,2,6,7,3,1,5]=>[4,2,6,3,1,5]=>8
[4,2,6,7,3,5,1]=>[4,2,6,3,5,1]=>9
[4,2,6,7,5,1,3]=>[4,2,6,5,1,3]=>8
[4,2,6,7,5,3,1]=>[4,2,6,5,3,1]=>8
[4,2,7,1,3,5,6]=>[4,2,1,3,5,6]=>6
[4,2,7,1,3,6,5]=>[4,2,1,3,6,5]=>7
[4,2,7,1,5,3,6]=>[4,2,1,5,3,6]=>7
[4,2,7,1,5,6,3]=>[4,2,1,5,6,3]=>7
[4,2,7,1,6,3,5]=>[4,2,1,6,3,5]=>8
[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>8
[4,2,7,3,1,5,6]=>[4,2,3,1,5,6]=>7
[4,2,7,3,1,6,5]=>[4,2,3,1,6,5]=>8
[4,2,7,3,5,1,6]=>[4,2,3,5,1,6]=>7
[4,2,7,3,5,6,1]=>[4,2,3,5,6,1]=>7
[4,2,7,3,6,1,5]=>[4,2,3,6,1,5]=>8
[4,2,7,3,6,5,1]=>[4,2,3,6,5,1]=>8
[4,2,7,5,1,3,6]=>[4,2,5,1,3,6]=>8
[4,2,7,5,1,6,3]=>[4,2,5,1,6,3]=>8
[4,2,7,5,3,1,6]=>[4,2,5,3,1,6]=>8
[4,2,7,5,3,6,1]=>[4,2,5,3,6,1]=>8
[4,2,7,5,6,1,3]=>[4,2,5,6,1,3]=>8
[4,2,7,5,6,3,1]=>[4,2,5,6,3,1]=>8
[4,2,7,6,1,3,5]=>[4,2,6,1,3,5]=>8
[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>9
[4,2,7,6,3,1,5]=>[4,2,6,3,1,5]=>8
[4,2,7,6,3,5,1]=>[4,2,6,3,5,1]=>9
[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>8
[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>8
[4,3,1,2,5,6,7]=>[4,3,1,2,5,6]=>6
[4,3,1,2,5,7,6]=>[4,3,1,2,5,6]=>6
[4,3,1,2,6,5,7]=>[4,3,1,2,6,5]=>7
[4,3,1,2,6,7,5]=>[4,3,1,2,6,5]=>7
[4,3,1,2,7,5,6]=>[4,3,1,2,5,6]=>6
[4,3,1,2,7,6,5]=>[4,3,1,2,6,5]=>7
[4,3,1,5,2,6,7]=>[4,3,1,5,2,6]=>7
[4,3,1,5,2,7,6]=>[4,3,1,5,2,6]=>7
[4,3,1,5,6,2,7]=>[4,3,1,5,6,2]=>7
[4,3,1,5,6,7,2]=>[4,3,1,5,6,2]=>7
[4,3,1,5,7,2,6]=>[4,3,1,5,2,6]=>7
[4,3,1,5,7,6,2]=>[4,3,1,5,6,2]=>7
[4,3,1,6,2,5,7]=>[4,3,1,6,2,5]=>8
[4,3,1,6,2,7,5]=>[4,3,1,6,2,5]=>8
[4,3,1,6,5,2,7]=>[4,3,1,6,5,2]=>8
[4,3,1,6,5,7,2]=>[4,3,1,6,5,2]=>8
[4,3,1,6,7,2,5]=>[4,3,1,6,2,5]=>8
[4,3,1,6,7,5,2]=>[4,3,1,6,5,2]=>8
[4,3,1,7,2,5,6]=>[4,3,1,2,5,6]=>6
[4,3,1,7,2,6,5]=>[4,3,1,2,6,5]=>7
[4,3,1,7,5,2,6]=>[4,3,1,5,2,6]=>7
[4,3,1,7,5,6,2]=>[4,3,1,5,6,2]=>7
[4,3,1,7,6,2,5]=>[4,3,1,6,2,5]=>8
[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>8
[4,3,2,1,5,6,7]=>[4,3,2,1,5,6]=>6
[4,3,2,1,5,7,6]=>[4,3,2,1,5,6]=>6
[4,3,2,1,6,5,7]=>[4,3,2,1,6,5]=>7
[4,3,2,1,6,7,5]=>[4,3,2,1,6,5]=>7
[4,3,2,1,7,5,6]=>[4,3,2,1,5,6]=>6
[4,3,2,1,7,6,5]=>[4,3,2,1,6,5]=>7
[4,3,2,5,1,6,7]=>[4,3,2,5,1,6]=>7
[4,3,2,5,1,7,6]=>[4,3,2,5,1,6]=>7
[4,3,2,5,6,1,7]=>[4,3,2,5,6,1]=>7
[4,3,2,5,6,7,1]=>[4,3,2,5,6,1]=>7
[4,3,2,5,7,1,6]=>[4,3,2,5,1,6]=>7
[4,3,2,5,7,6,1]=>[4,3,2,5,6,1]=>7
[4,3,2,6,1,5,7]=>[4,3,2,6,1,5]=>8
[4,3,2,6,1,7,5]=>[4,3,2,6,1,5]=>8
[4,3,2,6,5,1,7]=>[4,3,2,6,5,1]=>8
[4,3,2,6,5,7,1]=>[4,3,2,6,5,1]=>8
[4,3,2,6,7,1,5]=>[4,3,2,6,1,5]=>8
[4,3,2,6,7,5,1]=>[4,3,2,6,5,1]=>8
[4,3,2,7,1,5,6]=>[4,3,2,1,5,6]=>6
[4,3,2,7,1,6,5]=>[4,3,2,1,6,5]=>7
[4,3,2,7,5,1,6]=>[4,3,2,5,1,6]=>7
[4,3,2,7,5,6,1]=>[4,3,2,5,6,1]=>7
[4,3,2,7,6,1,5]=>[4,3,2,6,1,5]=>8
[4,3,2,7,6,5,1]=>[4,3,2,6,5,1]=>8
[4,3,5,1,2,6,7]=>[4,3,5,1,2,6]=>8
[4,3,5,1,2,7,6]=>[4,3,5,1,2,6]=>8
[4,3,5,1,6,2,7]=>[4,3,5,1,6,2]=>8
[4,3,5,1,6,7,2]=>[4,3,5,1,6,2]=>8
[4,3,5,1,7,2,6]=>[4,3,5,1,2,6]=>8
[4,3,5,1,7,6,2]=>[4,3,5,1,6,2]=>8
[4,3,5,2,1,6,7]=>[4,3,5,2,1,6]=>8
[4,3,5,2,1,7,6]=>[4,3,5,2,1,6]=>8
[4,3,5,2,6,1,7]=>[4,3,5,2,6,1]=>8
[4,3,5,2,6,7,1]=>[4,3,5,2,6,1]=>8
[4,3,5,2,7,1,6]=>[4,3,5,2,1,6]=>8
[4,3,5,2,7,6,1]=>[4,3,5,2,6,1]=>8
[4,3,5,6,1,2,7]=>[4,3,5,6,1,2]=>8
[4,3,5,6,1,7,2]=>[4,3,5,6,1,2]=>8
[4,3,5,6,2,1,7]=>[4,3,5,6,2,1]=>8
[4,3,5,6,2,7,1]=>[4,3,5,6,2,1]=>8
[4,3,5,6,7,1,2]=>[4,3,5,6,1,2]=>8
[4,3,5,6,7,2,1]=>[4,3,5,6,2,1]=>8
[4,3,5,7,1,2,6]=>[4,3,5,1,2,6]=>8
[4,3,5,7,1,6,2]=>[4,3,5,1,6,2]=>8
[4,3,5,7,2,1,6]=>[4,3,5,2,1,6]=>8
[4,3,5,7,2,6,1]=>[4,3,5,2,6,1]=>8
[4,3,5,7,6,1,2]=>[4,3,5,6,1,2]=>8
[4,3,5,7,6,2,1]=>[4,3,5,6,2,1]=>8
[4,3,6,1,2,5,7]=>[4,3,6,1,2,5]=>8
[4,3,6,1,2,7,5]=>[4,3,6,1,2,5]=>8
[4,3,6,1,5,2,7]=>[4,3,6,1,5,2]=>9
[4,3,6,1,5,7,2]=>[4,3,6,1,5,2]=>9
[4,3,6,1,7,2,5]=>[4,3,6,1,2,5]=>8
[4,3,6,1,7,5,2]=>[4,3,6,1,5,2]=>9
[4,3,6,2,1,5,7]=>[4,3,6,2,1,5]=>8
[4,3,6,2,1,7,5]=>[4,3,6,2,1,5]=>8
[4,3,6,2,5,1,7]=>[4,3,6,2,5,1]=>9
[4,3,6,2,5,7,1]=>[4,3,6,2,5,1]=>9
[4,3,6,2,7,1,5]=>[4,3,6,2,1,5]=>8
[4,3,6,2,7,5,1]=>[4,3,6,2,5,1]=>9
[4,3,6,5,1,2,7]=>[4,3,6,5,1,2]=>8
[4,3,6,5,1,7,2]=>[4,3,6,5,1,2]=>8
[4,3,6,5,2,1,7]=>[4,3,6,5,2,1]=>8
[4,3,6,5,2,7,1]=>[4,3,6,5,2,1]=>8
[4,3,6,5,7,1,2]=>[4,3,6,5,1,2]=>8
[4,3,6,5,7,2,1]=>[4,3,6,5,2,1]=>8
[4,3,6,7,1,2,5]=>[4,3,6,1,2,5]=>8
[4,3,6,7,1,5,2]=>[4,3,6,1,5,2]=>9
[4,3,6,7,2,1,5]=>[4,3,6,2,1,5]=>8
[4,3,6,7,2,5,1]=>[4,3,6,2,5,1]=>9
[4,3,6,7,5,1,2]=>[4,3,6,5,1,2]=>8
[4,3,6,7,5,2,1]=>[4,3,6,5,2,1]=>8
[4,3,7,1,2,5,6]=>[4,3,1,2,5,6]=>6
[4,3,7,1,2,6,5]=>[4,3,1,2,6,5]=>7
[4,3,7,1,5,2,6]=>[4,3,1,5,2,6]=>7
[4,3,7,1,5,6,2]=>[4,3,1,5,6,2]=>7
[4,3,7,1,6,2,5]=>[4,3,1,6,2,5]=>8
[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>8
[4,3,7,2,1,5,6]=>[4,3,2,1,5,6]=>6
[4,3,7,2,1,6,5]=>[4,3,2,1,6,5]=>7
[4,3,7,2,5,1,6]=>[4,3,2,5,1,6]=>7
[4,3,7,2,5,6,1]=>[4,3,2,5,6,1]=>7
[4,3,7,2,6,1,5]=>[4,3,2,6,1,5]=>8
[4,3,7,2,6,5,1]=>[4,3,2,6,5,1]=>8
[4,3,7,5,1,2,6]=>[4,3,5,1,2,6]=>8
[4,3,7,5,1,6,2]=>[4,3,5,1,6,2]=>8
[4,3,7,5,2,1,6]=>[4,3,5,2,1,6]=>8
[4,3,7,5,2,6,1]=>[4,3,5,2,6,1]=>8
[4,3,7,5,6,1,2]=>[4,3,5,6,1,2]=>8
[4,3,7,5,6,2,1]=>[4,3,5,6,2,1]=>8
[4,3,7,6,1,2,5]=>[4,3,6,1,2,5]=>8
[4,3,7,6,1,5,2]=>[4,3,6,1,5,2]=>9
[4,3,7,6,2,1,5]=>[4,3,6,2,1,5]=>8
[4,3,7,6,2,5,1]=>[4,3,6,2,5,1]=>9
[4,3,7,6,5,1,2]=>[4,3,6,5,1,2]=>8
[4,3,7,6,5,2,1]=>[4,3,6,5,2,1]=>8
[4,5,1,2,3,6,7]=>[4,5,1,2,3,6]=>7
[4,5,1,2,3,7,6]=>[4,5,1,2,3,6]=>7
[4,5,1,2,6,3,7]=>[4,5,1,2,6,3]=>8
[4,5,1,2,6,7,3]=>[4,5,1,2,6,3]=>8
[4,5,1,2,7,3,6]=>[4,5,1,2,3,6]=>7
[4,5,1,2,7,6,3]=>[4,5,1,2,6,3]=>8
[4,5,1,3,2,6,7]=>[4,5,1,3,2,6]=>8
[4,5,1,3,2,7,6]=>[4,5,1,3,2,6]=>8
[4,5,1,3,6,2,7]=>[4,5,1,3,6,2]=>8
[4,5,1,3,6,7,2]=>[4,5,1,3,6,2]=>8
[4,5,1,3,7,2,6]=>[4,5,1,3,2,6]=>8
[4,5,1,3,7,6,2]=>[4,5,1,3,6,2]=>8
[4,5,1,6,2,3,7]=>[4,5,1,6,2,3]=>9
[4,5,1,6,2,7,3]=>[4,5,1,6,2,3]=>9
[4,5,1,6,3,2,7]=>[4,5,1,6,3,2]=>9
[4,5,1,6,3,7,2]=>[4,5,1,6,3,2]=>9
[4,5,1,6,7,2,3]=>[4,5,1,6,2,3]=>9
[4,5,1,6,7,3,2]=>[4,5,1,6,3,2]=>9
[4,5,1,7,2,3,6]=>[4,5,1,2,3,6]=>7
[4,5,1,7,2,6,3]=>[4,5,1,2,6,3]=>8
[4,5,1,7,3,2,6]=>[4,5,1,3,2,6]=>8
[4,5,1,7,3,6,2]=>[4,5,1,3,6,2]=>8
[4,5,1,7,6,2,3]=>[4,5,1,6,2,3]=>9
[4,5,1,7,6,3,2]=>[4,5,1,6,3,2]=>9
[4,5,2,1,3,6,7]=>[4,5,2,1,3,6]=>7
[4,5,2,1,3,7,6]=>[4,5,2,1,3,6]=>7
[4,5,2,1,6,3,7]=>[4,5,2,1,6,3]=>8
[4,5,2,1,6,7,3]=>[4,5,2,1,6,3]=>8
[4,5,2,1,7,3,6]=>[4,5,2,1,3,6]=>7
[4,5,2,1,7,6,3]=>[4,5,2,1,6,3]=>8
[4,5,2,3,1,6,7]=>[4,5,2,3,1,6]=>8
[4,5,2,3,1,7,6]=>[4,5,2,3,1,6]=>8
[4,5,2,3,6,1,7]=>[4,5,2,3,6,1]=>8
[4,5,2,3,6,7,1]=>[4,5,2,3,6,1]=>8
[4,5,2,3,7,1,6]=>[4,5,2,3,1,6]=>8
[4,5,2,3,7,6,1]=>[4,5,2,3,6,1]=>8
[4,5,2,6,1,3,7]=>[4,5,2,6,1,3]=>9
[4,5,2,6,1,7,3]=>[4,5,2,6,1,3]=>9
[4,5,2,6,3,1,7]=>[4,5,2,6,3,1]=>9
[4,5,2,6,3,7,1]=>[4,5,2,6,3,1]=>9
[4,5,2,6,7,1,3]=>[4,5,2,6,1,3]=>9
[4,5,2,6,7,3,1]=>[4,5,2,6,3,1]=>9
[4,5,2,7,1,3,6]=>[4,5,2,1,3,6]=>7
[4,5,2,7,1,6,3]=>[4,5,2,1,6,3]=>8
[4,5,2,7,3,1,6]=>[4,5,2,3,1,6]=>8
[4,5,2,7,3,6,1]=>[4,5,2,3,6,1]=>8
[4,5,2,7,6,1,3]=>[4,5,2,6,1,3]=>9
[4,5,2,7,6,3,1]=>[4,5,2,6,3,1]=>9
[4,5,3,1,2,6,7]=>[4,5,3,1,2,6]=>7
[4,5,3,1,2,7,6]=>[4,5,3,1,2,6]=>7
[4,5,3,1,6,2,7]=>[4,5,3,1,6,2]=>8
[4,5,3,1,6,7,2]=>[4,5,3,1,6,2]=>8
[4,5,3,1,7,2,6]=>[4,5,3,1,2,6]=>7
[4,5,3,1,7,6,2]=>[4,5,3,1,6,2]=>8
[4,5,3,2,1,6,7]=>[4,5,3,2,1,6]=>7
[4,5,3,2,1,7,6]=>[4,5,3,2,1,6]=>7
[4,5,3,2,6,1,7]=>[4,5,3,2,6,1]=>8
[4,5,3,2,6,7,1]=>[4,5,3,2,6,1]=>8
[4,5,3,2,7,1,6]=>[4,5,3,2,1,6]=>7
[4,5,3,2,7,6,1]=>[4,5,3,2,6,1]=>8
[4,5,3,6,1,2,7]=>[4,5,3,6,1,2]=>9
[4,5,3,6,1,7,2]=>[4,5,3,6,1,2]=>9
[4,5,3,6,2,1,7]=>[4,5,3,6,2,1]=>9
[4,5,3,6,2,7,1]=>[4,5,3,6,2,1]=>9
[4,5,3,6,7,1,2]=>[4,5,3,6,1,2]=>9
[4,5,3,6,7,2,1]=>[4,5,3,6,2,1]=>9
[4,5,3,7,1,2,6]=>[4,5,3,1,2,6]=>7
[4,5,3,7,1,6,2]=>[4,5,3,1,6,2]=>8
[4,5,3,7,2,1,6]=>[4,5,3,2,1,6]=>7
[4,5,3,7,2,6,1]=>[4,5,3,2,6,1]=>8
[4,5,3,7,6,1,2]=>[4,5,3,6,1,2]=>9
[4,5,3,7,6,2,1]=>[4,5,3,6,2,1]=>9
[4,5,6,1,2,3,7]=>[4,5,6,1,2,3]=>8
[4,5,6,1,2,7,3]=>[4,5,6,1,2,3]=>8
[4,5,6,1,3,2,7]=>[4,5,6,1,3,2]=>9
[4,5,6,1,3,7,2]=>[4,5,6,1,3,2]=>9
[4,5,6,1,7,2,3]=>[4,5,6,1,2,3]=>8
[4,5,6,1,7,3,2]=>[4,5,6,1,3,2]=>9
[4,5,6,2,1,3,7]=>[4,5,6,2,1,3]=>8
[4,5,6,2,1,7,3]=>[4,5,6,2,1,3]=>8
[4,5,6,2,3,1,7]=>[4,5,6,2,3,1]=>9
[4,5,6,2,3,7,1]=>[4,5,6,2,3,1]=>9
[4,5,6,2,7,1,3]=>[4,5,6,2,1,3]=>8
[4,5,6,2,7,3,1]=>[4,5,6,2,3,1]=>9
[4,5,6,3,1,2,7]=>[4,5,6,3,1,2]=>8
[4,5,6,3,1,7,2]=>[4,5,6,3,1,2]=>8
[4,5,6,3,2,1,7]=>[4,5,6,3,2,1]=>8
[4,5,6,3,2,7,1]=>[4,5,6,3,2,1]=>8
[4,5,6,3,7,1,2]=>[4,5,6,3,1,2]=>8
[4,5,6,3,7,2,1]=>[4,5,6,3,2,1]=>8
[4,5,6,7,1,2,3]=>[4,5,6,1,2,3]=>8
[4,5,6,7,1,3,2]=>[4,5,6,1,3,2]=>9
[4,5,6,7,2,1,3]=>[4,5,6,2,1,3]=>8
[4,5,6,7,2,3,1]=>[4,5,6,2,3,1]=>9
[4,5,6,7,3,1,2]=>[4,5,6,3,1,2]=>8
[4,5,6,7,3,2,1]=>[4,5,6,3,2,1]=>8
[4,5,7,1,2,3,6]=>[4,5,1,2,3,6]=>7
[4,5,7,1,2,6,3]=>[4,5,1,2,6,3]=>8
[4,5,7,1,3,2,6]=>[4,5,1,3,2,6]=>8
[4,5,7,1,3,6,2]=>[4,5,1,3,6,2]=>8
[4,5,7,1,6,2,3]=>[4,5,1,6,2,3]=>9
[4,5,7,1,6,3,2]=>[4,5,1,6,3,2]=>9
[4,5,7,2,1,3,6]=>[4,5,2,1,3,6]=>7
[4,5,7,2,1,6,3]=>[4,5,2,1,6,3]=>8
[4,5,7,2,3,1,6]=>[4,5,2,3,1,6]=>8
[4,5,7,2,3,6,1]=>[4,5,2,3,6,1]=>8
[4,5,7,2,6,1,3]=>[4,5,2,6,1,3]=>9
[4,5,7,2,6,3,1]=>[4,5,2,6,3,1]=>9
[4,5,7,3,1,2,6]=>[4,5,3,1,2,6]=>7
[4,5,7,3,1,6,2]=>[4,5,3,1,6,2]=>8
[4,5,7,3,2,1,6]=>[4,5,3,2,1,6]=>7
[4,5,7,3,2,6,1]=>[4,5,3,2,6,1]=>8
[4,5,7,3,6,1,2]=>[4,5,3,6,1,2]=>9
[4,5,7,3,6,2,1]=>[4,5,3,6,2,1]=>9
[4,5,7,6,1,2,3]=>[4,5,6,1,2,3]=>8
[4,5,7,6,1,3,2]=>[4,5,6,1,3,2]=>9
[4,5,7,6,2,1,3]=>[4,5,6,2,1,3]=>8
[4,5,7,6,2,3,1]=>[4,5,6,2,3,1]=>9
[4,5,7,6,3,1,2]=>[4,5,6,3,1,2]=>8
[4,5,7,6,3,2,1]=>[4,5,6,3,2,1]=>8
[4,6,1,2,3,5,7]=>[4,6,1,2,3,5]=>7
[4,6,1,2,3,7,5]=>[4,6,1,2,3,5]=>7
[4,6,1,2,5,3,7]=>[4,6,1,2,5,3]=>8
[4,6,1,2,5,7,3]=>[4,6,1,2,5,3]=>8
[4,6,1,2,7,3,5]=>[4,6,1,2,3,5]=>7
[4,6,1,2,7,5,3]=>[4,6,1,2,5,3]=>8
[4,6,1,3,2,5,7]=>[4,6,1,3,2,5]=>8
[4,6,1,3,2,7,5]=>[4,6,1,3,2,5]=>8
[4,6,1,3,5,2,7]=>[4,6,1,3,5,2]=>8
[4,6,1,3,5,7,2]=>[4,6,1,3,5,2]=>8
[4,6,1,3,7,2,5]=>[4,6,1,3,2,5]=>8
[4,6,1,3,7,5,2]=>[4,6,1,3,5,2]=>8
[4,6,1,5,2,3,7]=>[4,6,1,5,2,3]=>8
[4,6,1,5,2,7,3]=>[4,6,1,5,2,3]=>8
[4,6,1,5,3,2,7]=>[4,6,1,5,3,2]=>8
[4,6,1,5,3,7,2]=>[4,6,1,5,3,2]=>8
[4,6,1,5,7,2,3]=>[4,6,1,5,2,3]=>8
[4,6,1,5,7,3,2]=>[4,6,1,5,3,2]=>8
[4,6,1,7,2,3,5]=>[4,6,1,2,3,5]=>7
[4,6,1,7,2,5,3]=>[4,6,1,2,5,3]=>8
[4,6,1,7,3,2,5]=>[4,6,1,3,2,5]=>8
[4,6,1,7,3,5,2]=>[4,6,1,3,5,2]=>8
[4,6,1,7,5,2,3]=>[4,6,1,5,2,3]=>8
[4,6,1,7,5,3,2]=>[4,6,1,5,3,2]=>8
[4,6,2,1,3,5,7]=>[4,6,2,1,3,5]=>7
[4,6,2,1,3,7,5]=>[4,6,2,1,3,5]=>7
[4,6,2,1,5,3,7]=>[4,6,2,1,5,3]=>8
[4,6,2,1,5,7,3]=>[4,6,2,1,5,3]=>8
[4,6,2,1,7,3,5]=>[4,6,2,1,3,5]=>7
[4,6,2,1,7,5,3]=>[4,6,2,1,5,3]=>8
[4,6,2,3,1,5,7]=>[4,6,2,3,1,5]=>8
[4,6,2,3,1,7,5]=>[4,6,2,3,1,5]=>8
[4,6,2,3,5,1,7]=>[4,6,2,3,5,1]=>8
[4,6,2,3,5,7,1]=>[4,6,2,3,5,1]=>8
[4,6,2,3,7,1,5]=>[4,6,2,3,1,5]=>8
[4,6,2,3,7,5,1]=>[4,6,2,3,5,1]=>8
[4,6,2,5,1,3,7]=>[4,6,2,5,1,3]=>8
[4,6,2,5,1,7,3]=>[4,6,2,5,1,3]=>8
[4,6,2,5,3,1,7]=>[4,6,2,5,3,1]=>8
[4,6,2,5,3,7,1]=>[4,6,2,5,3,1]=>8
[4,6,2,5,7,1,3]=>[4,6,2,5,1,3]=>8
[4,6,2,5,7,3,1]=>[4,6,2,5,3,1]=>8
[4,6,2,7,1,3,5]=>[4,6,2,1,3,5]=>7
[4,6,2,7,1,5,3]=>[4,6,2,1,5,3]=>8
[4,6,2,7,3,1,5]=>[4,6,2,3,1,5]=>8
[4,6,2,7,3,5,1]=>[4,6,2,3,5,1]=>8
[4,6,2,7,5,1,3]=>[4,6,2,5,1,3]=>8
[4,6,2,7,5,3,1]=>[4,6,2,5,3,1]=>8
[4,6,3,1,2,5,7]=>[4,6,3,1,2,5]=>7
[4,6,3,1,2,7,5]=>[4,6,3,1,2,5]=>7
[4,6,3,1,5,2,7]=>[4,6,3,1,5,2]=>8
[4,6,3,1,5,7,2]=>[4,6,3,1,5,2]=>8
[4,6,3,1,7,2,5]=>[4,6,3,1,2,5]=>7
[4,6,3,1,7,5,2]=>[4,6,3,1,5,2]=>8
[4,6,3,2,1,5,7]=>[4,6,3,2,1,5]=>7
[4,6,3,2,1,7,5]=>[4,6,3,2,1,5]=>7
[4,6,3,2,5,1,7]=>[4,6,3,2,5,1]=>8
[4,6,3,2,5,7,1]=>[4,6,3,2,5,1]=>8
[4,6,3,2,7,1,5]=>[4,6,3,2,1,5]=>7
[4,6,3,2,7,5,1]=>[4,6,3,2,5,1]=>8
[4,6,3,5,1,2,7]=>[4,6,3,5,1,2]=>8
[4,6,3,5,1,7,2]=>[4,6,3,5,1,2]=>8
[4,6,3,5,2,1,7]=>[4,6,3,5,2,1]=>8
[4,6,3,5,2,7,1]=>[4,6,3,5,2,1]=>8
[4,6,3,5,7,1,2]=>[4,6,3,5,1,2]=>8
[4,6,3,5,7,2,1]=>[4,6,3,5,2,1]=>8
[4,6,3,7,1,2,5]=>[4,6,3,1,2,5]=>7
[4,6,3,7,1,5,2]=>[4,6,3,1,5,2]=>8
[4,6,3,7,2,1,5]=>[4,6,3,2,1,5]=>7
[4,6,3,7,2,5,1]=>[4,6,3,2,5,1]=>8
[4,6,3,7,5,1,2]=>[4,6,3,5,1,2]=>8
[4,6,3,7,5,2,1]=>[4,6,3,5,2,1]=>8
[4,6,5,1,2,3,7]=>[4,6,5,1,2,3]=>7
[4,6,5,1,2,7,3]=>[4,6,5,1,2,3]=>7
[4,6,5,1,3,2,7]=>[4,6,5,1,3,2]=>8
[4,6,5,1,3,7,2]=>[4,6,5,1,3,2]=>8
[4,6,5,1,7,2,3]=>[4,6,5,1,2,3]=>7
[4,6,5,1,7,3,2]=>[4,6,5,1,3,2]=>8
[4,6,5,2,1,3,7]=>[4,6,5,2,1,3]=>7
[4,6,5,2,1,7,3]=>[4,6,5,2,1,3]=>7
[4,6,5,2,3,1,7]=>[4,6,5,2,3,1]=>8
[4,6,5,2,3,7,1]=>[4,6,5,2,3,1]=>8
[4,6,5,2,7,1,3]=>[4,6,5,2,1,3]=>7
[4,6,5,2,7,3,1]=>[4,6,5,2,3,1]=>8
[4,6,5,3,1,2,7]=>[4,6,5,3,1,2]=>7
[4,6,5,3,1,7,2]=>[4,6,5,3,1,2]=>7
[4,6,5,3,2,1,7]=>[4,6,5,3,2,1]=>7
[4,6,5,3,2,7,1]=>[4,6,5,3,2,1]=>7
[4,6,5,3,7,1,2]=>[4,6,5,3,1,2]=>7
[4,6,5,3,7,2,1]=>[4,6,5,3,2,1]=>7
[4,6,5,7,1,2,3]=>[4,6,5,1,2,3]=>7
[4,6,5,7,1,3,2]=>[4,6,5,1,3,2]=>8
[4,6,5,7,2,1,3]=>[4,6,5,2,1,3]=>7
[4,6,5,7,2,3,1]=>[4,6,5,2,3,1]=>8
[4,6,5,7,3,1,2]=>[4,6,5,3,1,2]=>7
[4,6,5,7,3,2,1]=>[4,6,5,3,2,1]=>7
[4,6,7,1,2,3,5]=>[4,6,1,2,3,5]=>7
[4,6,7,1,2,5,3]=>[4,6,1,2,5,3]=>8
[4,6,7,1,3,2,5]=>[4,6,1,3,2,5]=>8
[4,6,7,1,3,5,2]=>[4,6,1,3,5,2]=>8
[4,6,7,1,5,2,3]=>[4,6,1,5,2,3]=>8
[4,6,7,1,5,3,2]=>[4,6,1,5,3,2]=>8
[4,6,7,2,1,3,5]=>[4,6,2,1,3,5]=>7
[4,6,7,2,1,5,3]=>[4,6,2,1,5,3]=>8
[4,6,7,2,3,1,5]=>[4,6,2,3,1,5]=>8
[4,6,7,2,3,5,1]=>[4,6,2,3,5,1]=>8
[4,6,7,2,5,1,3]=>[4,6,2,5,1,3]=>8
[4,6,7,2,5,3,1]=>[4,6,2,5,3,1]=>8
[4,6,7,3,1,2,5]=>[4,6,3,1,2,5]=>7
[4,6,7,3,1,5,2]=>[4,6,3,1,5,2]=>8
[4,6,7,3,2,1,5]=>[4,6,3,2,1,5]=>7
[4,6,7,3,2,5,1]=>[4,6,3,2,5,1]=>8
[4,6,7,3,5,1,2]=>[4,6,3,5,1,2]=>8
[4,6,7,3,5,2,1]=>[4,6,3,5,2,1]=>8
[4,6,7,5,1,2,3]=>[4,6,5,1,2,3]=>7
[4,6,7,5,1,3,2]=>[4,6,5,1,3,2]=>8
[4,6,7,5,2,1,3]=>[4,6,5,2,1,3]=>7
[4,6,7,5,2,3,1]=>[4,6,5,2,3,1]=>8
[4,6,7,5,3,1,2]=>[4,6,5,3,1,2]=>7
[4,6,7,5,3,2,1]=>[4,6,5,3,2,1]=>7
[4,7,1,2,3,5,6]=>[4,1,2,3,5,6]=>6
[4,7,1,2,3,6,5]=>[4,1,2,3,6,5]=>7
[4,7,1,2,5,3,6]=>[4,1,2,5,3,6]=>7
[4,7,1,2,5,6,3]=>[4,1,2,5,6,3]=>7
[4,7,1,2,6,3,5]=>[4,1,2,6,3,5]=>8
[4,7,1,2,6,5,3]=>[4,1,2,6,5,3]=>8
[4,7,1,3,2,5,6]=>[4,1,3,2,5,6]=>7
[4,7,1,3,2,6,5]=>[4,1,3,2,6,5]=>8
[4,7,1,3,5,2,6]=>[4,1,3,5,2,6]=>7
[4,7,1,3,5,6,2]=>[4,1,3,5,6,2]=>7
[4,7,1,3,6,2,5]=>[4,1,3,6,2,5]=>8
[4,7,1,3,6,5,2]=>[4,1,3,6,5,2]=>8
[4,7,1,5,2,3,6]=>[4,1,5,2,3,6]=>8
[4,7,1,5,2,6,3]=>[4,1,5,2,6,3]=>8
[4,7,1,5,3,2,6]=>[4,1,5,3,2,6]=>8
[4,7,1,5,3,6,2]=>[4,1,5,3,6,2]=>8
[4,7,1,5,6,2,3]=>[4,1,5,6,2,3]=>8
[4,7,1,5,6,3,2]=>[4,1,5,6,3,2]=>8
[4,7,1,6,2,3,5]=>[4,1,6,2,3,5]=>8
[4,7,1,6,2,5,3]=>[4,1,6,2,5,3]=>9
[4,7,1,6,3,2,5]=>[4,1,6,3,2,5]=>8
[4,7,1,6,3,5,2]=>[4,1,6,3,5,2]=>9
[4,7,1,6,5,2,3]=>[4,1,6,5,2,3]=>8
[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>8
[4,7,2,1,3,5,6]=>[4,2,1,3,5,6]=>6
[4,7,2,1,3,6,5]=>[4,2,1,3,6,5]=>7
[4,7,2,1,5,3,6]=>[4,2,1,5,3,6]=>7
[4,7,2,1,5,6,3]=>[4,2,1,5,6,3]=>7
[4,7,2,1,6,3,5]=>[4,2,1,6,3,5]=>8
[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>8
[4,7,2,3,1,5,6]=>[4,2,3,1,5,6]=>7
[4,7,2,3,1,6,5]=>[4,2,3,1,6,5]=>8
[4,7,2,3,5,1,6]=>[4,2,3,5,1,6]=>7
[4,7,2,3,5,6,1]=>[4,2,3,5,6,1]=>7
[4,7,2,3,6,1,5]=>[4,2,3,6,1,5]=>8
[4,7,2,3,6,5,1]=>[4,2,3,6,5,1]=>8
[4,7,2,5,1,3,6]=>[4,2,5,1,3,6]=>8
[4,7,2,5,1,6,3]=>[4,2,5,1,6,3]=>8
[4,7,2,5,3,1,6]=>[4,2,5,3,1,6]=>8
[4,7,2,5,3,6,1]=>[4,2,5,3,6,1]=>8
[4,7,2,5,6,1,3]=>[4,2,5,6,1,3]=>8
[4,7,2,5,6,3,1]=>[4,2,5,6,3,1]=>8
[4,7,2,6,1,3,5]=>[4,2,6,1,3,5]=>8
[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>9
[4,7,2,6,3,1,5]=>[4,2,6,3,1,5]=>8
[4,7,2,6,3,5,1]=>[4,2,6,3,5,1]=>9
[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>8
[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>8
[4,7,3,1,2,5,6]=>[4,3,1,2,5,6]=>6
[4,7,3,1,2,6,5]=>[4,3,1,2,6,5]=>7
[4,7,3,1,5,2,6]=>[4,3,1,5,2,6]=>7
[4,7,3,1,5,6,2]=>[4,3,1,5,6,2]=>7
[4,7,3,1,6,2,5]=>[4,3,1,6,2,5]=>8
[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>8
[4,7,3,2,1,5,6]=>[4,3,2,1,5,6]=>6
[4,7,3,2,1,6,5]=>[4,3,2,1,6,5]=>7
[4,7,3,2,5,1,6]=>[4,3,2,5,1,6]=>7
[4,7,3,2,5,6,1]=>[4,3,2,5,6,1]=>7
[4,7,3,2,6,1,5]=>[4,3,2,6,1,5]=>8
[4,7,3,2,6,5,1]=>[4,3,2,6,5,1]=>8
[4,7,3,5,1,2,6]=>[4,3,5,1,2,6]=>8
[4,7,3,5,1,6,2]=>[4,3,5,1,6,2]=>8
[4,7,3,5,2,1,6]=>[4,3,5,2,1,6]=>8
[4,7,3,5,2,6,1]=>[4,3,5,2,6,1]=>8
[4,7,3,5,6,1,2]=>[4,3,5,6,1,2]=>8
[4,7,3,5,6,2,1]=>[4,3,5,6,2,1]=>8
[4,7,3,6,1,2,5]=>[4,3,6,1,2,5]=>8
[4,7,3,6,1,5,2]=>[4,3,6,1,5,2]=>9
[4,7,3,6,2,1,5]=>[4,3,6,2,1,5]=>8
[4,7,3,6,2,5,1]=>[4,3,6,2,5,1]=>9
[4,7,3,6,5,1,2]=>[4,3,6,5,1,2]=>8
[4,7,3,6,5,2,1]=>[4,3,6,5,2,1]=>8
[4,7,5,1,2,3,6]=>[4,5,1,2,3,6]=>7
[4,7,5,1,2,6,3]=>[4,5,1,2,6,3]=>8
[4,7,5,1,3,2,6]=>[4,5,1,3,2,6]=>8
[4,7,5,1,3,6,2]=>[4,5,1,3,6,2]=>8
[4,7,5,1,6,2,3]=>[4,5,1,6,2,3]=>9
[4,7,5,1,6,3,2]=>[4,5,1,6,3,2]=>9
[4,7,5,2,1,3,6]=>[4,5,2,1,3,6]=>7
[4,7,5,2,1,6,3]=>[4,5,2,1,6,3]=>8
[4,7,5,2,3,1,6]=>[4,5,2,3,1,6]=>8
[4,7,5,2,3,6,1]=>[4,5,2,3,6,1]=>8
[4,7,5,2,6,1,3]=>[4,5,2,6,1,3]=>9
[4,7,5,2,6,3,1]=>[4,5,2,6,3,1]=>9
[4,7,5,3,1,2,6]=>[4,5,3,1,2,6]=>7
[4,7,5,3,1,6,2]=>[4,5,3,1,6,2]=>8
[4,7,5,3,2,1,6]=>[4,5,3,2,1,6]=>7
[4,7,5,3,2,6,1]=>[4,5,3,2,6,1]=>8
[4,7,5,3,6,1,2]=>[4,5,3,6,1,2]=>9
[4,7,5,3,6,2,1]=>[4,5,3,6,2,1]=>9
[4,7,5,6,1,2,3]=>[4,5,6,1,2,3]=>8
[4,7,5,6,1,3,2]=>[4,5,6,1,3,2]=>9
[4,7,5,6,2,1,3]=>[4,5,6,2,1,3]=>8
[4,7,5,6,2,3,1]=>[4,5,6,2,3,1]=>9
[4,7,5,6,3,1,2]=>[4,5,6,3,1,2]=>8
[4,7,5,6,3,2,1]=>[4,5,6,3,2,1]=>8
[4,7,6,1,2,3,5]=>[4,6,1,2,3,5]=>7
[4,7,6,1,2,5,3]=>[4,6,1,2,5,3]=>8
[4,7,6,1,3,2,5]=>[4,6,1,3,2,5]=>8
[4,7,6,1,3,5,2]=>[4,6,1,3,5,2]=>8
[4,7,6,1,5,2,3]=>[4,6,1,5,2,3]=>8
[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>8
[4,7,6,2,1,3,5]=>[4,6,2,1,3,5]=>7
[4,7,6,2,1,5,3]=>[4,6,2,1,5,3]=>8
[4,7,6,2,3,1,5]=>[4,6,2,3,1,5]=>8
[4,7,6,2,3,5,1]=>[4,6,2,3,5,1]=>8
[4,7,6,2,5,1,3]=>[4,6,2,5,1,3]=>8
[4,7,6,2,5,3,1]=>[4,6,2,5,3,1]=>8
[4,7,6,3,1,2,5]=>[4,6,3,1,2,5]=>7
[4,7,6,3,1,5,2]=>[4,6,3,1,5,2]=>8
[4,7,6,3,2,1,5]=>[4,6,3,2,1,5]=>7
[4,7,6,3,2,5,1]=>[4,6,3,2,5,1]=>8
[4,7,6,3,5,1,2]=>[4,6,3,5,1,2]=>8
[4,7,6,3,5,2,1]=>[4,6,3,5,2,1]=>8
[4,7,6,5,1,2,3]=>[4,6,5,1,2,3]=>7
[4,7,6,5,1,3,2]=>[4,6,5,1,3,2]=>8
[4,7,6,5,2,1,3]=>[4,6,5,2,1,3]=>7
[4,7,6,5,2,3,1]=>[4,6,5,2,3,1]=>8
[4,7,6,5,3,1,2]=>[4,6,5,3,1,2]=>7
[4,7,6,5,3,2,1]=>[4,6,5,3,2,1]=>7
[5,1,2,3,4,6,7]=>[5,1,2,3,4,6]=>6
[5,1,2,3,4,7,6]=>[5,1,2,3,4,6]=>6
[5,1,2,3,6,4,7]=>[5,1,2,3,6,4]=>7
[5,1,2,3,6,7,4]=>[5,1,2,3,6,4]=>7
[5,1,2,3,7,4,6]=>[5,1,2,3,4,6]=>6
[5,1,2,3,7,6,4]=>[5,1,2,3,6,4]=>7
[5,1,2,4,3,6,7]=>[5,1,2,4,3,6]=>7
[5,1,2,4,3,7,6]=>[5,1,2,4,3,6]=>7
[5,1,2,4,6,3,7]=>[5,1,2,4,6,3]=>7
[5,1,2,4,6,7,3]=>[5,1,2,4,6,3]=>7
[5,1,2,4,7,3,6]=>[5,1,2,4,3,6]=>7
[5,1,2,4,7,6,3]=>[5,1,2,4,6,3]=>7
[5,1,2,6,3,4,7]=>[5,1,2,6,3,4]=>8
[5,1,2,6,3,7,4]=>[5,1,2,6,3,4]=>8
[5,1,2,6,4,3,7]=>[5,1,2,6,4,3]=>8
[5,1,2,6,4,7,3]=>[5,1,2,6,4,3]=>8
[5,1,2,6,7,3,4]=>[5,1,2,6,3,4]=>8
[5,1,2,6,7,4,3]=>[5,1,2,6,4,3]=>8
[5,1,2,7,3,4,6]=>[5,1,2,3,4,6]=>6
[5,1,2,7,3,6,4]=>[5,1,2,3,6,4]=>7
[5,1,2,7,4,3,6]=>[5,1,2,4,3,6]=>7
[5,1,2,7,4,6,3]=>[5,1,2,4,6,3]=>7
[5,1,2,7,6,3,4]=>[5,1,2,6,3,4]=>8
[5,1,2,7,6,4,3]=>[5,1,2,6,4,3]=>8
[5,1,3,2,4,6,7]=>[5,1,3,2,4,6]=>7
[5,1,3,2,4,7,6]=>[5,1,3,2,4,6]=>7
[5,1,3,2,6,4,7]=>[5,1,3,2,6,4]=>8
[5,1,3,2,6,7,4]=>[5,1,3,2,6,4]=>8
[5,1,3,2,7,4,6]=>[5,1,3,2,4,6]=>7
[5,1,3,2,7,6,4]=>[5,1,3,2,6,4]=>8
[5,1,3,4,2,6,7]=>[5,1,3,4,2,6]=>7
[5,1,3,4,2,7,6]=>[5,1,3,4,2,6]=>7
[5,1,3,4,6,2,7]=>[5,1,3,4,6,2]=>7
[5,1,3,4,6,7,2]=>[5,1,3,4,6,2]=>7
[5,1,3,4,7,2,6]=>[5,1,3,4,2,6]=>7
[5,1,3,4,7,6,2]=>[5,1,3,4,6,2]=>7
[5,1,3,6,2,4,7]=>[5,1,3,6,2,4]=>8
[5,1,3,6,2,7,4]=>[5,1,3,6,2,4]=>8
[5,1,3,6,4,2,7]=>[5,1,3,6,4,2]=>8
[5,1,3,6,4,7,2]=>[5,1,3,6,4,2]=>8
[5,1,3,6,7,2,4]=>[5,1,3,6,2,4]=>8
[5,1,3,6,7,4,2]=>[5,1,3,6,4,2]=>8
[5,1,3,7,2,4,6]=>[5,1,3,2,4,6]=>7
[5,1,3,7,2,6,4]=>[5,1,3,2,6,4]=>8
[5,1,3,7,4,2,6]=>[5,1,3,4,2,6]=>7
[5,1,3,7,4,6,2]=>[5,1,3,4,6,2]=>7
[5,1,3,7,6,2,4]=>[5,1,3,6,2,4]=>8
[5,1,3,7,6,4,2]=>[5,1,3,6,4,2]=>8
[5,1,4,2,3,6,7]=>[5,1,4,2,3,6]=>7
[5,1,4,2,3,7,6]=>[5,1,4,2,3,6]=>7
[5,1,4,2,6,3,7]=>[5,1,4,2,6,3]=>8
[5,1,4,2,6,7,3]=>[5,1,4,2,6,3]=>8
[5,1,4,2,7,3,6]=>[5,1,4,2,3,6]=>7
[5,1,4,2,7,6,3]=>[5,1,4,2,6,3]=>8
[5,1,4,3,2,6,7]=>[5,1,4,3,2,6]=>7
[5,1,4,3,2,7,6]=>[5,1,4,3,2,6]=>7
[5,1,4,3,6,2,7]=>[5,1,4,3,6,2]=>8
[5,1,4,3,6,7,2]=>[5,1,4,3,6,2]=>8
[5,1,4,3,7,2,6]=>[5,1,4,3,2,6]=>7
[5,1,4,3,7,6,2]=>[5,1,4,3,6,2]=>8
[5,1,4,6,2,3,7]=>[5,1,4,6,2,3]=>8
[5,1,4,6,2,7,3]=>[5,1,4,6,2,3]=>8
[5,1,4,6,3,2,7]=>[5,1,4,6,3,2]=>8
[5,1,4,6,3,7,2]=>[5,1,4,6,3,2]=>8
[5,1,4,6,7,2,3]=>[5,1,4,6,2,3]=>8
[5,1,4,6,7,3,2]=>[5,1,4,6,3,2]=>8
[5,1,4,7,2,3,6]=>[5,1,4,2,3,6]=>7
[5,1,4,7,2,6,3]=>[5,1,4,2,6,3]=>8
[5,1,4,7,3,2,6]=>[5,1,4,3,2,6]=>7
[5,1,4,7,3,6,2]=>[5,1,4,3,6,2]=>8
[5,1,4,7,6,2,3]=>[5,1,4,6,2,3]=>8
[5,1,4,7,6,3,2]=>[5,1,4,6,3,2]=>8
[5,1,6,2,3,4,7]=>[5,1,6,2,3,4]=>8
[5,1,6,2,3,7,4]=>[5,1,6,2,3,4]=>8
[5,1,6,2,4,3,7]=>[5,1,6,2,4,3]=>9
[5,1,6,2,4,7,3]=>[5,1,6,2,4,3]=>9
[5,1,6,2,7,3,4]=>[5,1,6,2,3,4]=>8
[5,1,6,2,7,4,3]=>[5,1,6,2,4,3]=>9
[5,1,6,3,2,4,7]=>[5,1,6,3,2,4]=>8
[5,1,6,3,2,7,4]=>[5,1,6,3,2,4]=>8
[5,1,6,3,4,2,7]=>[5,1,6,3,4,2]=>9
[5,1,6,3,4,7,2]=>[5,1,6,3,4,2]=>9
[5,1,6,3,7,2,4]=>[5,1,6,3,2,4]=>8
[5,1,6,3,7,4,2]=>[5,1,6,3,4,2]=>9
[5,1,6,4,2,3,7]=>[5,1,6,4,2,3]=>8
[5,1,6,4,2,7,3]=>[5,1,6,4,2,3]=>8
[5,1,6,4,3,2,7]=>[5,1,6,4,3,2]=>8
[5,1,6,4,3,7,2]=>[5,1,6,4,3,2]=>8
[5,1,6,4,7,2,3]=>[5,1,6,4,2,3]=>8
[5,1,6,4,7,3,2]=>[5,1,6,4,3,2]=>8
[5,1,6,7,2,3,4]=>[5,1,6,2,3,4]=>8
[5,1,6,7,2,4,3]=>[5,1,6,2,4,3]=>9
[5,1,6,7,3,2,4]=>[5,1,6,3,2,4]=>8
[5,1,6,7,3,4,2]=>[5,1,6,3,4,2]=>9
[5,1,6,7,4,2,3]=>[5,1,6,4,2,3]=>8
[5,1,6,7,4,3,2]=>[5,1,6,4,3,2]=>8
[5,1,7,2,3,4,6]=>[5,1,2,3,4,6]=>6
[5,1,7,2,3,6,4]=>[5,1,2,3,6,4]=>7
[5,1,7,2,4,3,6]=>[5,1,2,4,3,6]=>7
[5,1,7,2,4,6,3]=>[5,1,2,4,6,3]=>7
[5,1,7,2,6,3,4]=>[5,1,2,6,3,4]=>8
[5,1,7,2,6,4,3]=>[5,1,2,6,4,3]=>8
[5,1,7,3,2,4,6]=>[5,1,3,2,4,6]=>7
[5,1,7,3,2,6,4]=>[5,1,3,2,6,4]=>8
[5,1,7,3,4,2,6]=>[5,1,3,4,2,6]=>7
[5,1,7,3,4,6,2]=>[5,1,3,4,6,2]=>7
[5,1,7,3,6,2,4]=>[5,1,3,6,2,4]=>8
[5,1,7,3,6,4,2]=>[5,1,3,6,4,2]=>8
[5,1,7,4,2,3,6]=>[5,1,4,2,3,6]=>7
[5,1,7,4,2,6,3]=>[5,1,4,2,6,3]=>8
[5,1,7,4,3,2,6]=>[5,1,4,3,2,6]=>7
[5,1,7,4,3,6,2]=>[5,1,4,3,6,2]=>8
[5,1,7,4,6,2,3]=>[5,1,4,6,2,3]=>8
[5,1,7,4,6,3,2]=>[5,1,4,6,3,2]=>8
[5,1,7,6,2,3,4]=>[5,1,6,2,3,4]=>8
[5,1,7,6,2,4,3]=>[5,1,6,2,4,3]=>9
[5,1,7,6,3,2,4]=>[5,1,6,3,2,4]=>8
[5,1,7,6,3,4,2]=>[5,1,6,3,4,2]=>9
[5,1,7,6,4,2,3]=>[5,1,6,4,2,3]=>8
[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>8
[5,2,1,3,4,6,7]=>[5,2,1,3,4,6]=>6
[5,2,1,3,4,7,6]=>[5,2,1,3,4,6]=>6
[5,2,1,3,6,4,7]=>[5,2,1,3,6,4]=>7
[5,2,1,3,6,7,4]=>[5,2,1,3,6,4]=>7
[5,2,1,3,7,4,6]=>[5,2,1,3,4,6]=>6
[5,2,1,3,7,6,4]=>[5,2,1,3,6,4]=>7
[5,2,1,4,3,6,7]=>[5,2,1,4,3,6]=>7
[5,2,1,4,3,7,6]=>[5,2,1,4,3,6]=>7
[5,2,1,4,6,3,7]=>[5,2,1,4,6,3]=>7
[5,2,1,4,6,7,3]=>[5,2,1,4,6,3]=>7
[5,2,1,4,7,3,6]=>[5,2,1,4,3,6]=>7
[5,2,1,4,7,6,3]=>[5,2,1,4,6,3]=>7
[5,2,1,6,3,4,7]=>[5,2,1,6,3,4]=>8
[5,2,1,6,3,7,4]=>[5,2,1,6,3,4]=>8
[5,2,1,6,4,3,7]=>[5,2,1,6,4,3]=>8
[5,2,1,6,4,7,3]=>[5,2,1,6,4,3]=>8
[5,2,1,6,7,3,4]=>[5,2,1,6,3,4]=>8
[5,2,1,6,7,4,3]=>[5,2,1,6,4,3]=>8
[5,2,1,7,3,4,6]=>[5,2,1,3,4,6]=>6
[5,2,1,7,3,6,4]=>[5,2,1,3,6,4]=>7
[5,2,1,7,4,3,6]=>[5,2,1,4,3,6]=>7
[5,2,1,7,4,6,3]=>[5,2,1,4,6,3]=>7
[5,2,1,7,6,3,4]=>[5,2,1,6,3,4]=>8
[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>8
[5,2,3,1,4,6,7]=>[5,2,3,1,4,6]=>7
[5,2,3,1,4,7,6]=>[5,2,3,1,4,6]=>7
[5,2,3,1,6,4,7]=>[5,2,3,1,6,4]=>8
[5,2,3,1,6,7,4]=>[5,2,3,1,6,4]=>8
[5,2,3,1,7,4,6]=>[5,2,3,1,4,6]=>7
[5,2,3,1,7,6,4]=>[5,2,3,1,6,4]=>8
[5,2,3,4,1,6,7]=>[5,2,3,4,1,6]=>7
[5,2,3,4,1,7,6]=>[5,2,3,4,1,6]=>7
[5,2,3,4,6,1,7]=>[5,2,3,4,6,1]=>7
[5,2,3,4,6,7,1]=>[5,2,3,4,6,1]=>7
[5,2,3,4,7,1,6]=>[5,2,3,4,1,6]=>7
[5,2,3,4,7,6,1]=>[5,2,3,4,6,1]=>7
[5,2,3,6,1,4,7]=>[5,2,3,6,1,4]=>8
[5,2,3,6,1,7,4]=>[5,2,3,6,1,4]=>8
[5,2,3,6,4,1,7]=>[5,2,3,6,4,1]=>8
[5,2,3,6,4,7,1]=>[5,2,3,6,4,1]=>8
[5,2,3,6,7,1,4]=>[5,2,3,6,1,4]=>8
[5,2,3,6,7,4,1]=>[5,2,3,6,4,1]=>8
[5,2,3,7,1,4,6]=>[5,2,3,1,4,6]=>7
[5,2,3,7,1,6,4]=>[5,2,3,1,6,4]=>8
[5,2,3,7,4,1,6]=>[5,2,3,4,1,6]=>7
[5,2,3,7,4,6,1]=>[5,2,3,4,6,1]=>7
[5,2,3,7,6,1,4]=>[5,2,3,6,1,4]=>8
[5,2,3,7,6,4,1]=>[5,2,3,6,4,1]=>8
[5,2,4,1,3,6,7]=>[5,2,4,1,3,6]=>7
[5,2,4,1,3,7,6]=>[5,2,4,1,3,6]=>7
[5,2,4,1,6,3,7]=>[5,2,4,1,6,3]=>8
[5,2,4,1,6,7,3]=>[5,2,4,1,6,3]=>8
[5,2,4,1,7,3,6]=>[5,2,4,1,3,6]=>7
[5,2,4,1,7,6,3]=>[5,2,4,1,6,3]=>8
[5,2,4,3,1,6,7]=>[5,2,4,3,1,6]=>7
[5,2,4,3,1,7,6]=>[5,2,4,3,1,6]=>7
[5,2,4,3,6,1,7]=>[5,2,4,3,6,1]=>8
[5,2,4,3,6,7,1]=>[5,2,4,3,6,1]=>8
[5,2,4,3,7,1,6]=>[5,2,4,3,1,6]=>7
[5,2,4,3,7,6,1]=>[5,2,4,3,6,1]=>8
[5,2,4,6,1,3,7]=>[5,2,4,6,1,3]=>8
[5,2,4,6,1,7,3]=>[5,2,4,6,1,3]=>8
[5,2,4,6,3,1,7]=>[5,2,4,6,3,1]=>8
[5,2,4,6,3,7,1]=>[5,2,4,6,3,1]=>8
[5,2,4,6,7,1,3]=>[5,2,4,6,1,3]=>8
[5,2,4,6,7,3,1]=>[5,2,4,6,3,1]=>8
[5,2,4,7,1,3,6]=>[5,2,4,1,3,6]=>7
[5,2,4,7,1,6,3]=>[5,2,4,1,6,3]=>8
[5,2,4,7,3,1,6]=>[5,2,4,3,1,6]=>7
[5,2,4,7,3,6,1]=>[5,2,4,3,6,1]=>8
[5,2,4,7,6,1,3]=>[5,2,4,6,1,3]=>8
[5,2,4,7,6,3,1]=>[5,2,4,6,3,1]=>8
[5,2,6,1,3,4,7]=>[5,2,6,1,3,4]=>8
[5,2,6,1,3,7,4]=>[5,2,6,1,3,4]=>8
[5,2,6,1,4,3,7]=>[5,2,6,1,4,3]=>9
[5,2,6,1,4,7,3]=>[5,2,6,1,4,3]=>9
[5,2,6,1,7,3,4]=>[5,2,6,1,3,4]=>8
[5,2,6,1,7,4,3]=>[5,2,6,1,4,3]=>9
[5,2,6,3,1,4,7]=>[5,2,6,3,1,4]=>8
[5,2,6,3,1,7,4]=>[5,2,6,3,1,4]=>8
[5,2,6,3,4,1,7]=>[5,2,6,3,4,1]=>9
[5,2,6,3,4,7,1]=>[5,2,6,3,4,1]=>9
[5,2,6,3,7,1,4]=>[5,2,6,3,1,4]=>8
[5,2,6,3,7,4,1]=>[5,2,6,3,4,1]=>9
[5,2,6,4,1,3,7]=>[5,2,6,4,1,3]=>8
[5,2,6,4,1,7,3]=>[5,2,6,4,1,3]=>8
[5,2,6,4,3,1,7]=>[5,2,6,4,3,1]=>8
[5,2,6,4,3,7,1]=>[5,2,6,4,3,1]=>8
[5,2,6,4,7,1,3]=>[5,2,6,4,1,3]=>8
[5,2,6,4,7,3,1]=>[5,2,6,4,3,1]=>8
[5,2,6,7,1,3,4]=>[5,2,6,1,3,4]=>8
[5,2,6,7,1,4,3]=>[5,2,6,1,4,3]=>9
[5,2,6,7,3,1,4]=>[5,2,6,3,1,4]=>8
[5,2,6,7,3,4,1]=>[5,2,6,3,4,1]=>9
[5,2,6,7,4,1,3]=>[5,2,6,4,1,3]=>8
[5,2,6,7,4,3,1]=>[5,2,6,4,3,1]=>8
[5,2,7,1,3,4,6]=>[5,2,1,3,4,6]=>6
[5,2,7,1,3,6,4]=>[5,2,1,3,6,4]=>7
[5,2,7,1,4,3,6]=>[5,2,1,4,3,6]=>7
[5,2,7,1,4,6,3]=>[5,2,1,4,6,3]=>7
[5,2,7,1,6,3,4]=>[5,2,1,6,3,4]=>8
[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>8
[5,2,7,3,1,4,6]=>[5,2,3,1,4,6]=>7
[5,2,7,3,1,6,4]=>[5,2,3,1,6,4]=>8
[5,2,7,3,4,1,6]=>[5,2,3,4,1,6]=>7
[5,2,7,3,4,6,1]=>[5,2,3,4,6,1]=>7
[5,2,7,3,6,1,4]=>[5,2,3,6,1,4]=>8
[5,2,7,3,6,4,1]=>[5,2,3,6,4,1]=>8
[5,2,7,4,1,3,6]=>[5,2,4,1,3,6]=>7
[5,2,7,4,1,6,3]=>[5,2,4,1,6,3]=>8
[5,2,7,4,3,1,6]=>[5,2,4,3,1,6]=>7
[5,2,7,4,3,6,1]=>[5,2,4,3,6,1]=>8
[5,2,7,4,6,1,3]=>[5,2,4,6,1,3]=>8
[5,2,7,4,6,3,1]=>[5,2,4,6,3,1]=>8
[5,2,7,6,1,3,4]=>[5,2,6,1,3,4]=>8
[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>9
[5,2,7,6,3,1,4]=>[5,2,6,3,1,4]=>8
[5,2,7,6,3,4,1]=>[5,2,6,3,4,1]=>9
[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>8
[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>8
[5,3,1,2,4,6,7]=>[5,3,1,2,4,6]=>6
[5,3,1,2,4,7,6]=>[5,3,1,2,4,6]=>6
[5,3,1,2,6,4,7]=>[5,3,1,2,6,4]=>7
[5,3,1,2,6,7,4]=>[5,3,1,2,6,4]=>7
[5,3,1,2,7,4,6]=>[5,3,1,2,4,6]=>6
[5,3,1,2,7,6,4]=>[5,3,1,2,6,4]=>7
[5,3,1,4,2,6,7]=>[5,3,1,4,2,6]=>7
[5,3,1,4,2,7,6]=>[5,3,1,4,2,6]=>7
[5,3,1,4,6,2,7]=>[5,3,1,4,6,2]=>7
[5,3,1,4,6,7,2]=>[5,3,1,4,6,2]=>7
[5,3,1,4,7,2,6]=>[5,3,1,4,2,6]=>7
[5,3,1,4,7,6,2]=>[5,3,1,4,6,2]=>7
[5,3,1,6,2,4,7]=>[5,3,1,6,2,4]=>8
[5,3,1,6,2,7,4]=>[5,3,1,6,2,4]=>8
[5,3,1,6,4,2,7]=>[5,3,1,6,4,2]=>8
[5,3,1,6,4,7,2]=>[5,3,1,6,4,2]=>8
[5,3,1,6,7,2,4]=>[5,3,1,6,2,4]=>8
[5,3,1,6,7,4,2]=>[5,3,1,6,4,2]=>8
[5,3,1,7,2,4,6]=>[5,3,1,2,4,6]=>6
[5,3,1,7,2,6,4]=>[5,3,1,2,6,4]=>7
[5,3,1,7,4,2,6]=>[5,3,1,4,2,6]=>7
[5,3,1,7,4,6,2]=>[5,3,1,4,6,2]=>7
[5,3,1,7,6,2,4]=>[5,3,1,6,2,4]=>8
[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>8
[5,3,2,1,4,6,7]=>[5,3,2,1,4,6]=>6
[5,3,2,1,4,7,6]=>[5,3,2,1,4,6]=>6
[5,3,2,1,6,4,7]=>[5,3,2,1,6,4]=>7
[5,3,2,1,6,7,4]=>[5,3,2,1,6,4]=>7
[5,3,2,1,7,4,6]=>[5,3,2,1,4,6]=>6
[5,3,2,1,7,6,4]=>[5,3,2,1,6,4]=>7
[5,3,2,4,1,6,7]=>[5,3,2,4,1,6]=>7
[5,3,2,4,1,7,6]=>[5,3,2,4,1,6]=>7
[5,3,2,4,6,1,7]=>[5,3,2,4,6,1]=>7
[5,3,2,4,6,7,1]=>[5,3,2,4,6,1]=>7
[5,3,2,4,7,1,6]=>[5,3,2,4,1,6]=>7
[5,3,2,4,7,6,1]=>[5,3,2,4,6,1]=>7
[5,3,2,6,1,4,7]=>[5,3,2,6,1,4]=>8
[5,3,2,6,1,7,4]=>[5,3,2,6,1,4]=>8
[5,3,2,6,4,1,7]=>[5,3,2,6,4,1]=>8
[5,3,2,6,4,7,1]=>[5,3,2,6,4,1]=>8
[5,3,2,6,7,1,4]=>[5,3,2,6,1,4]=>8
[5,3,2,6,7,4,1]=>[5,3,2,6,4,1]=>8
[5,3,2,7,1,4,6]=>[5,3,2,1,4,6]=>6
[5,3,2,7,1,6,4]=>[5,3,2,1,6,4]=>7
[5,3,2,7,4,1,6]=>[5,3,2,4,1,6]=>7
[5,3,2,7,4,6,1]=>[5,3,2,4,6,1]=>7
[5,3,2,7,6,1,4]=>[5,3,2,6,1,4]=>8
[5,3,2,7,6,4,1]=>[5,3,2,6,4,1]=>8
[5,3,4,1,2,6,7]=>[5,3,4,1,2,6]=>7
[5,3,4,1,2,7,6]=>[5,3,4,1,2,6]=>7
[5,3,4,1,6,2,7]=>[5,3,4,1,6,2]=>8
[5,3,4,1,6,7,2]=>[5,3,4,1,6,2]=>8
[5,3,4,1,7,2,6]=>[5,3,4,1,2,6]=>7
[5,3,4,1,7,6,2]=>[5,3,4,1,6,2]=>8
[5,3,4,2,1,6,7]=>[5,3,4,2,1,6]=>7
[5,3,4,2,1,7,6]=>[5,3,4,2,1,6]=>7
[5,3,4,2,6,1,7]=>[5,3,4,2,6,1]=>8
[5,3,4,2,6,7,1]=>[5,3,4,2,6,1]=>8
[5,3,4,2,7,1,6]=>[5,3,4,2,1,6]=>7
[5,3,4,2,7,6,1]=>[5,3,4,2,6,1]=>8
[5,3,4,6,1,2,7]=>[5,3,4,6,1,2]=>8
[5,3,4,6,1,7,2]=>[5,3,4,6,1,2]=>8
[5,3,4,6,2,1,7]=>[5,3,4,6,2,1]=>8
[5,3,4,6,2,7,1]=>[5,3,4,6,2,1]=>8
[5,3,4,6,7,1,2]=>[5,3,4,6,1,2]=>8
[5,3,4,6,7,2,1]=>[5,3,4,6,2,1]=>8
[5,3,4,7,1,2,6]=>[5,3,4,1,2,6]=>7
[5,3,4,7,1,6,2]=>[5,3,4,1,6,2]=>8
[5,3,4,7,2,1,6]=>[5,3,4,2,1,6]=>7
[5,3,4,7,2,6,1]=>[5,3,4,2,6,1]=>8
[5,3,4,7,6,1,2]=>[5,3,4,6,1,2]=>8
[5,3,4,7,6,2,1]=>[5,3,4,6,2,1]=>8
[5,3,6,1,2,4,7]=>[5,3,6,1,2,4]=>8
[5,3,6,1,2,7,4]=>[5,3,6,1,2,4]=>8
[5,3,6,1,4,2,7]=>[5,3,6,1,4,2]=>9
[5,3,6,1,4,7,2]=>[5,3,6,1,4,2]=>9
[5,3,6,1,7,2,4]=>[5,3,6,1,2,4]=>8
[5,3,6,1,7,4,2]=>[5,3,6,1,4,2]=>9
[5,3,6,2,1,4,7]=>[5,3,6,2,1,4]=>8
[5,3,6,2,1,7,4]=>[5,3,6,2,1,4]=>8
[5,3,6,2,4,1,7]=>[5,3,6,2,4,1]=>9
[5,3,6,2,4,7,1]=>[5,3,6,2,4,1]=>9
[5,3,6,2,7,1,4]=>[5,3,6,2,1,4]=>8
[5,3,6,2,7,4,1]=>[5,3,6,2,4,1]=>9
[5,3,6,4,1,2,7]=>[5,3,6,4,1,2]=>8
[5,3,6,4,1,7,2]=>[5,3,6,4,1,2]=>8
[5,3,6,4,2,1,7]=>[5,3,6,4,2,1]=>8
[5,3,6,4,2,7,1]=>[5,3,6,4,2,1]=>8
[5,3,6,4,7,1,2]=>[5,3,6,4,1,2]=>8
[5,3,6,4,7,2,1]=>[5,3,6,4,2,1]=>8
[5,3,6,7,1,2,4]=>[5,3,6,1,2,4]=>8
[5,3,6,7,1,4,2]=>[5,3,6,1,4,2]=>9
[5,3,6,7,2,1,4]=>[5,3,6,2,1,4]=>8
[5,3,6,7,2,4,1]=>[5,3,6,2,4,1]=>9
[5,3,6,7,4,1,2]=>[5,3,6,4,1,2]=>8
[5,3,6,7,4,2,1]=>[5,3,6,4,2,1]=>8
[5,3,7,1,2,4,6]=>[5,3,1,2,4,6]=>6
[5,3,7,1,2,6,4]=>[5,3,1,2,6,4]=>7
[5,3,7,1,4,2,6]=>[5,3,1,4,2,6]=>7
[5,3,7,1,4,6,2]=>[5,3,1,4,6,2]=>7
[5,3,7,1,6,2,4]=>[5,3,1,6,2,4]=>8
[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>8
[5,3,7,2,1,4,6]=>[5,3,2,1,4,6]=>6
[5,3,7,2,1,6,4]=>[5,3,2,1,6,4]=>7
[5,3,7,2,4,1,6]=>[5,3,2,4,1,6]=>7
[5,3,7,2,4,6,1]=>[5,3,2,4,6,1]=>7
[5,3,7,2,6,1,4]=>[5,3,2,6,1,4]=>8
[5,3,7,2,6,4,1]=>[5,3,2,6,4,1]=>8
[5,3,7,4,1,2,6]=>[5,3,4,1,2,6]=>7
[5,3,7,4,1,6,2]=>[5,3,4,1,6,2]=>8
[5,3,7,4,2,1,6]=>[5,3,4,2,1,6]=>7
[5,3,7,4,2,6,1]=>[5,3,4,2,6,1]=>8
[5,3,7,4,6,1,2]=>[5,3,4,6,1,2]=>8
[5,3,7,4,6,2,1]=>[5,3,4,6,2,1]=>8
[5,3,7,6,1,2,4]=>[5,3,6,1,2,4]=>8
[5,3,7,6,1,4,2]=>[5,3,6,1,4,2]=>9
[5,3,7,6,2,1,4]=>[5,3,6,2,1,4]=>8
[5,3,7,6,2,4,1]=>[5,3,6,2,4,1]=>9
[5,3,7,6,4,1,2]=>[5,3,6,4,1,2]=>8
[5,3,7,6,4,2,1]=>[5,3,6,4,2,1]=>8
[5,4,1,2,3,6,7]=>[5,4,1,2,3,6]=>6
[5,4,1,2,3,7,6]=>[5,4,1,2,3,6]=>6
[5,4,1,2,6,3,7]=>[5,4,1,2,6,3]=>7
[5,4,1,2,6,7,3]=>[5,4,1,2,6,3]=>7
[5,4,1,2,7,3,6]=>[5,4,1,2,3,6]=>6
[5,4,1,2,7,6,3]=>[5,4,1,2,6,3]=>7
[5,4,1,3,2,6,7]=>[5,4,1,3,2,6]=>7
[5,4,1,3,2,7,6]=>[5,4,1,3,2,6]=>7
[5,4,1,3,6,2,7]=>[5,4,1,3,6,2]=>7
[5,4,1,3,6,7,2]=>[5,4,1,3,6,2]=>7
[5,4,1,3,7,2,6]=>[5,4,1,3,2,6]=>7
[5,4,1,3,7,6,2]=>[5,4,1,3,6,2]=>7
[5,4,1,6,2,3,7]=>[5,4,1,6,2,3]=>8
[5,4,1,6,2,7,3]=>[5,4,1,6,2,3]=>8
[5,4,1,6,3,2,7]=>[5,4,1,6,3,2]=>8
[5,4,1,6,3,7,2]=>[5,4,1,6,3,2]=>8
[5,4,1,6,7,2,3]=>[5,4,1,6,2,3]=>8
[5,4,1,6,7,3,2]=>[5,4,1,6,3,2]=>8
[5,4,1,7,2,3,6]=>[5,4,1,2,3,6]=>6
[5,4,1,7,2,6,3]=>[5,4,1,2,6,3]=>7
[5,4,1,7,3,2,6]=>[5,4,1,3,2,6]=>7
[5,4,1,7,3,6,2]=>[5,4,1,3,6,2]=>7
[5,4,1,7,6,2,3]=>[5,4,1,6,2,3]=>8
[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>8
[5,4,2,1,3,6,7]=>[5,4,2,1,3,6]=>6
[5,4,2,1,3,7,6]=>[5,4,2,1,3,6]=>6
[5,4,2,1,6,3,7]=>[5,4,2,1,6,3]=>7
[5,4,2,1,6,7,3]=>[5,4,2,1,6,3]=>7
[5,4,2,1,7,3,6]=>[5,4,2,1,3,6]=>6
[5,4,2,1,7,6,3]=>[5,4,2,1,6,3]=>7
[5,4,2,3,1,6,7]=>[5,4,2,3,1,6]=>7
[5,4,2,3,1,7,6]=>[5,4,2,3,1,6]=>7
[5,4,2,3,6,1,7]=>[5,4,2,3,6,1]=>7
[5,4,2,3,6,7,1]=>[5,4,2,3,6,1]=>7
[5,4,2,3,7,1,6]=>[5,4,2,3,1,6]=>7
[5,4,2,3,7,6,1]=>[5,4,2,3,6,1]=>7
[5,4,2,6,1,3,7]=>[5,4,2,6,1,3]=>8
[5,4,2,6,1,7,3]=>[5,4,2,6,1,3]=>8
[5,4,2,6,3,1,7]=>[5,4,2,6,3,1]=>8
[5,4,2,6,3,7,1]=>[5,4,2,6,3,1]=>8
[5,4,2,6,7,1,3]=>[5,4,2,6,1,3]=>8
[5,4,2,6,7,3,1]=>[5,4,2,6,3,1]=>8
[5,4,2,7,1,3,6]=>[5,4,2,1,3,6]=>6
[5,4,2,7,1,6,3]=>[5,4,2,1,6,3]=>7
[5,4,2,7,3,1,6]=>[5,4,2,3,1,6]=>7
[5,4,2,7,3,6,1]=>[5,4,2,3,6,1]=>7
[5,4,2,7,6,1,3]=>[5,4,2,6,1,3]=>8
[5,4,2,7,6,3,1]=>[5,4,2,6,3,1]=>8
[5,4,3,1,2,6,7]=>[5,4,3,1,2,6]=>6
[5,4,3,1,2,7,6]=>[5,4,3,1,2,6]=>6
[5,4,3,1,6,2,7]=>[5,4,3,1,6,2]=>7
[5,4,3,1,6,7,2]=>[5,4,3,1,6,2]=>7
[5,4,3,1,7,2,6]=>[5,4,3,1,2,6]=>6
[5,4,3,1,7,6,2]=>[5,4,3,1,6,2]=>7
[5,4,3,2,1,6,7]=>[5,4,3,2,1,6]=>6
[5,4,3,2,1,7,6]=>[5,4,3,2,1,6]=>6
[5,4,3,2,6,1,7]=>[5,4,3,2,6,1]=>7
[5,4,3,2,6,7,1]=>[5,4,3,2,6,1]=>7
[5,4,3,2,7,1,6]=>[5,4,3,2,1,6]=>6
[5,4,3,2,7,6,1]=>[5,4,3,2,6,1]=>7
[5,4,3,6,1,2,7]=>[5,4,3,6,1,2]=>8
[5,4,3,6,1,7,2]=>[5,4,3,6,1,2]=>8
[5,4,3,6,2,1,7]=>[5,4,3,6,2,1]=>8
[5,4,3,6,2,7,1]=>[5,4,3,6,2,1]=>8
[5,4,3,6,7,1,2]=>[5,4,3,6,1,2]=>8
[5,4,3,6,7,2,1]=>[5,4,3,6,2,1]=>8
[5,4,3,7,1,2,6]=>[5,4,3,1,2,6]=>6
[5,4,3,7,1,6,2]=>[5,4,3,1,6,2]=>7
[5,4,3,7,2,1,6]=>[5,4,3,2,1,6]=>6
[5,4,3,7,2,6,1]=>[5,4,3,2,6,1]=>7
[5,4,3,7,6,1,2]=>[5,4,3,6,1,2]=>8
[5,4,3,7,6,2,1]=>[5,4,3,6,2,1]=>8
[5,4,6,1,2,3,7]=>[5,4,6,1,2,3]=>8
[5,4,6,1,2,7,3]=>[5,4,6,1,2,3]=>8
[5,4,6,1,3,2,7]=>[5,4,6,1,3,2]=>9
[5,4,6,1,3,7,2]=>[5,4,6,1,3,2]=>9
[5,4,6,1,7,2,3]=>[5,4,6,1,2,3]=>8
[5,4,6,1,7,3,2]=>[5,4,6,1,3,2]=>9
[5,4,6,2,1,3,7]=>[5,4,6,2,1,3]=>8
[5,4,6,2,1,7,3]=>[5,4,6,2,1,3]=>8
[5,4,6,2,3,1,7]=>[5,4,6,2,3,1]=>9
[5,4,6,2,3,7,1]=>[5,4,6,2,3,1]=>9
[5,4,6,2,7,1,3]=>[5,4,6,2,1,3]=>8
[5,4,6,2,7,3,1]=>[5,4,6,2,3,1]=>9
[5,4,6,3,1,2,7]=>[5,4,6,3,1,2]=>8
[5,4,6,3,1,7,2]=>[5,4,6,3,1,2]=>8
[5,4,6,3,2,1,7]=>[5,4,6,3,2,1]=>8
[5,4,6,3,2,7,1]=>[5,4,6,3,2,1]=>8
[5,4,6,3,7,1,2]=>[5,4,6,3,1,2]=>8
[5,4,6,3,7,2,1]=>[5,4,6,3,2,1]=>8
[5,4,6,7,1,2,3]=>[5,4,6,1,2,3]=>8
[5,4,6,7,1,3,2]=>[5,4,6,1,3,2]=>9
[5,4,6,7,2,1,3]=>[5,4,6,2,1,3]=>8
[5,4,6,7,2,3,1]=>[5,4,6,2,3,1]=>9
[5,4,6,7,3,1,2]=>[5,4,6,3,1,2]=>8
[5,4,6,7,3,2,1]=>[5,4,6,3,2,1]=>8
[5,4,7,1,2,3,6]=>[5,4,1,2,3,6]=>6
[5,4,7,1,2,6,3]=>[5,4,1,2,6,3]=>7
[5,4,7,1,3,2,6]=>[5,4,1,3,2,6]=>7
[5,4,7,1,3,6,2]=>[5,4,1,3,6,2]=>7
[5,4,7,1,6,2,3]=>[5,4,1,6,2,3]=>8
[5,4,7,1,6,3,2]=>[5,4,1,6,3,2]=>8
[5,4,7,2,1,3,6]=>[5,4,2,1,3,6]=>6
[5,4,7,2,1,6,3]=>[5,4,2,1,6,3]=>7
[5,4,7,2,3,1,6]=>[5,4,2,3,1,6]=>7
[5,4,7,2,3,6,1]=>[5,4,2,3,6,1]=>7
[5,4,7,2,6,1,3]=>[5,4,2,6,1,3]=>8
[5,4,7,2,6,3,1]=>[5,4,2,6,3,1]=>8
[5,4,7,3,1,2,6]=>[5,4,3,1,2,6]=>6
[5,4,7,3,1,6,2]=>[5,4,3,1,6,2]=>7
[5,4,7,3,2,1,6]=>[5,4,3,2,1,6]=>6
[5,4,7,3,2,6,1]=>[5,4,3,2,6,1]=>7
[5,4,7,3,6,1,2]=>[5,4,3,6,1,2]=>8
[5,4,7,3,6,2,1]=>[5,4,3,6,2,1]=>8
[5,4,7,6,1,2,3]=>[5,4,6,1,2,3]=>8
[5,4,7,6,1,3,2]=>[5,4,6,1,3,2]=>9
[5,4,7,6,2,1,3]=>[5,4,6,2,1,3]=>8
[5,4,7,6,2,3,1]=>[5,4,6,2,3,1]=>9
[5,4,7,6,3,1,2]=>[5,4,6,3,1,2]=>8
[5,4,7,6,3,2,1]=>[5,4,6,3,2,1]=>8
[5,6,1,2,3,4,7]=>[5,6,1,2,3,4]=>7
[5,6,1,2,3,7,4]=>[5,6,1,2,3,4]=>7
[5,6,1,2,4,3,7]=>[5,6,1,2,4,3]=>8
[5,6,1,2,4,7,3]=>[5,6,1,2,4,3]=>8
[5,6,1,2,7,3,4]=>[5,6,1,2,3,4]=>7
[5,6,1,2,7,4,3]=>[5,6,1,2,4,3]=>8
[5,6,1,3,2,4,7]=>[5,6,1,3,2,4]=>8
[5,6,1,3,2,7,4]=>[5,6,1,3,2,4]=>8
[5,6,1,3,4,2,7]=>[5,6,1,3,4,2]=>8
[5,6,1,3,4,7,2]=>[5,6,1,3,4,2]=>8
[5,6,1,3,7,2,4]=>[5,6,1,3,2,4]=>8
[5,6,1,3,7,4,2]=>[5,6,1,3,4,2]=>8
[5,6,1,4,2,3,7]=>[5,6,1,4,2,3]=>8
[5,6,1,4,2,7,3]=>[5,6,1,4,2,3]=>8
[5,6,1,4,3,2,7]=>[5,6,1,4,3,2]=>8
[5,6,1,4,3,7,2]=>[5,6,1,4,3,2]=>8
[5,6,1,4,7,2,3]=>[5,6,1,4,2,3]=>8
[5,6,1,4,7,3,2]=>[5,6,1,4,3,2]=>8
[5,6,1,7,2,3,4]=>[5,6,1,2,3,4]=>7
[5,6,1,7,2,4,3]=>[5,6,1,2,4,3]=>8
[5,6,1,7,3,2,4]=>[5,6,1,3,2,4]=>8
[5,6,1,7,3,4,2]=>[5,6,1,3,4,2]=>8
[5,6,1,7,4,2,3]=>[5,6,1,4,2,3]=>8
[5,6,1,7,4,3,2]=>[5,6,1,4,3,2]=>8
[5,6,2,1,3,4,7]=>[5,6,2,1,3,4]=>7
[5,6,2,1,3,7,4]=>[5,6,2,1,3,4]=>7
[5,6,2,1,4,3,7]=>[5,6,2,1,4,3]=>8
[5,6,2,1,4,7,3]=>[5,6,2,1,4,3]=>8
[5,6,2,1,7,3,4]=>[5,6,2,1,3,4]=>7
[5,6,2,1,7,4,3]=>[5,6,2,1,4,3]=>8
[5,6,2,3,1,4,7]=>[5,6,2,3,1,4]=>8
[5,6,2,3,1,7,4]=>[5,6,2,3,1,4]=>8
[5,6,2,3,4,1,7]=>[5,6,2,3,4,1]=>8
[5,6,2,3,4,7,1]=>[5,6,2,3,4,1]=>8
[5,6,2,3,7,1,4]=>[5,6,2,3,1,4]=>8
[5,6,2,3,7,4,1]=>[5,6,2,3,4,1]=>8
[5,6,2,4,1,3,7]=>[5,6,2,4,1,3]=>8
[5,6,2,4,1,7,3]=>[5,6,2,4,1,3]=>8
[5,6,2,4,3,1,7]=>[5,6,2,4,3,1]=>8
[5,6,2,4,3,7,1]=>[5,6,2,4,3,1]=>8
[5,6,2,4,7,1,3]=>[5,6,2,4,1,3]=>8
[5,6,2,4,7,3,1]=>[5,6,2,4,3,1]=>8
[5,6,2,7,1,3,4]=>[5,6,2,1,3,4]=>7
[5,6,2,7,1,4,3]=>[5,6,2,1,4,3]=>8
[5,6,2,7,3,1,4]=>[5,6,2,3,1,4]=>8
[5,6,2,7,3,4,1]=>[5,6,2,3,4,1]=>8
[5,6,2,7,4,1,3]=>[5,6,2,4,1,3]=>8
[5,6,2,7,4,3,1]=>[5,6,2,4,3,1]=>8
[5,6,3,1,2,4,7]=>[5,6,3,1,2,4]=>7
[5,6,3,1,2,7,4]=>[5,6,3,1,2,4]=>7
[5,6,3,1,4,2,7]=>[5,6,3,1,4,2]=>8
[5,6,3,1,4,7,2]=>[5,6,3,1,4,2]=>8
[5,6,3,1,7,2,4]=>[5,6,3,1,2,4]=>7
[5,6,3,1,7,4,2]=>[5,6,3,1,4,2]=>8
[5,6,3,2,1,4,7]=>[5,6,3,2,1,4]=>7
[5,6,3,2,1,7,4]=>[5,6,3,2,1,4]=>7
[5,6,3,2,4,1,7]=>[5,6,3,2,4,1]=>8
[5,6,3,2,4,7,1]=>[5,6,3,2,4,1]=>8
[5,6,3,2,7,1,4]=>[5,6,3,2,1,4]=>7
[5,6,3,2,7,4,1]=>[5,6,3,2,4,1]=>8
[5,6,3,4,1,2,7]=>[5,6,3,4,1,2]=>8
[5,6,3,4,1,7,2]=>[5,6,3,4,1,2]=>8
[5,6,3,4,2,1,7]=>[5,6,3,4,2,1]=>8
[5,6,3,4,2,7,1]=>[5,6,3,4,2,1]=>8
[5,6,3,4,7,1,2]=>[5,6,3,4,1,2]=>8
[5,6,3,4,7,2,1]=>[5,6,3,4,2,1]=>8
[5,6,3,7,1,2,4]=>[5,6,3,1,2,4]=>7
[5,6,3,7,1,4,2]=>[5,6,3,1,4,2]=>8
[5,6,3,7,2,1,4]=>[5,6,3,2,1,4]=>7
[5,6,3,7,2,4,1]=>[5,6,3,2,4,1]=>8
[5,6,3,7,4,1,2]=>[5,6,3,4,1,2]=>8
[5,6,3,7,4,2,1]=>[5,6,3,4,2,1]=>8
[5,6,4,1,2,3,7]=>[5,6,4,1,2,3]=>7
[5,6,4,1,2,7,3]=>[5,6,4,1,2,3]=>7
[5,6,4,1,3,2,7]=>[5,6,4,1,3,2]=>8
[5,6,4,1,3,7,2]=>[5,6,4,1,3,2]=>8
[5,6,4,1,7,2,3]=>[5,6,4,1,2,3]=>7
[5,6,4,1,7,3,2]=>[5,6,4,1,3,2]=>8
[5,6,4,2,1,3,7]=>[5,6,4,2,1,3]=>7
[5,6,4,2,1,7,3]=>[5,6,4,2,1,3]=>7
[5,6,4,2,3,1,7]=>[5,6,4,2,3,1]=>8
[5,6,4,2,3,7,1]=>[5,6,4,2,3,1]=>8
[5,6,4,2,7,1,3]=>[5,6,4,2,1,3]=>7
[5,6,4,2,7,3,1]=>[5,6,4,2,3,1]=>8
[5,6,4,3,1,2,7]=>[5,6,4,3,1,2]=>7
[5,6,4,3,1,7,2]=>[5,6,4,3,1,2]=>7
[5,6,4,3,2,1,7]=>[5,6,4,3,2,1]=>7
[5,6,4,3,2,7,1]=>[5,6,4,3,2,1]=>7
[5,6,4,3,7,1,2]=>[5,6,4,3,1,2]=>7
[5,6,4,3,7,2,1]=>[5,6,4,3,2,1]=>7
[5,6,4,7,1,2,3]=>[5,6,4,1,2,3]=>7
[5,6,4,7,1,3,2]=>[5,6,4,1,3,2]=>8
[5,6,4,7,2,1,3]=>[5,6,4,2,1,3]=>7
[5,6,4,7,2,3,1]=>[5,6,4,2,3,1]=>8
[5,6,4,7,3,1,2]=>[5,6,4,3,1,2]=>7
[5,6,4,7,3,2,1]=>[5,6,4,3,2,1]=>7
[5,6,7,1,2,3,4]=>[5,6,1,2,3,4]=>7
[5,6,7,1,2,4,3]=>[5,6,1,2,4,3]=>8
[5,6,7,1,3,2,4]=>[5,6,1,3,2,4]=>8
[5,6,7,1,3,4,2]=>[5,6,1,3,4,2]=>8
[5,6,7,1,4,2,3]=>[5,6,1,4,2,3]=>8
[5,6,7,1,4,3,2]=>[5,6,1,4,3,2]=>8
[5,6,7,2,1,3,4]=>[5,6,2,1,3,4]=>7
[5,6,7,2,1,4,3]=>[5,6,2,1,4,3]=>8
[5,6,7,2,3,1,4]=>[5,6,2,3,1,4]=>8
[5,6,7,2,3,4,1]=>[5,6,2,3,4,1]=>8
[5,6,7,2,4,1,3]=>[5,6,2,4,1,3]=>8
[5,6,7,2,4,3,1]=>[5,6,2,4,3,1]=>8
[5,6,7,3,1,2,4]=>[5,6,3,1,2,4]=>7
[5,6,7,3,1,4,2]=>[5,6,3,1,4,2]=>8
[5,6,7,3,2,1,4]=>[5,6,3,2,1,4]=>7
[5,6,7,3,2,4,1]=>[5,6,3,2,4,1]=>8
[5,6,7,3,4,1,2]=>[5,6,3,4,1,2]=>8
[5,6,7,3,4,2,1]=>[5,6,3,4,2,1]=>8
[5,6,7,4,1,2,3]=>[5,6,4,1,2,3]=>7
[5,6,7,4,1,3,2]=>[5,6,4,1,3,2]=>8
[5,6,7,4,2,1,3]=>[5,6,4,2,1,3]=>7
[5,6,7,4,2,3,1]=>[5,6,4,2,3,1]=>8
[5,6,7,4,3,1,2]=>[5,6,4,3,1,2]=>7
[5,6,7,4,3,2,1]=>[5,6,4,3,2,1]=>7
[5,7,1,2,3,4,6]=>[5,1,2,3,4,6]=>6
[5,7,1,2,3,6,4]=>[5,1,2,3,6,4]=>7
[5,7,1,2,4,3,6]=>[5,1,2,4,3,6]=>7
[5,7,1,2,4,6,3]=>[5,1,2,4,6,3]=>7
[5,7,1,2,6,3,4]=>[5,1,2,6,3,4]=>8
[5,7,1,2,6,4,3]=>[5,1,2,6,4,3]=>8
[5,7,1,3,2,4,6]=>[5,1,3,2,4,6]=>7
[5,7,1,3,2,6,4]=>[5,1,3,2,6,4]=>8
[5,7,1,3,4,2,6]=>[5,1,3,4,2,6]=>7
[5,7,1,3,4,6,2]=>[5,1,3,4,6,2]=>7
[5,7,1,3,6,2,4]=>[5,1,3,6,2,4]=>8
[5,7,1,3,6,4,2]=>[5,1,3,6,4,2]=>8
[5,7,1,4,2,3,6]=>[5,1,4,2,3,6]=>7
[5,7,1,4,2,6,3]=>[5,1,4,2,6,3]=>8
[5,7,1,4,3,2,6]=>[5,1,4,3,2,6]=>7
[5,7,1,4,3,6,2]=>[5,1,4,3,6,2]=>8
[5,7,1,4,6,2,3]=>[5,1,4,6,2,3]=>8
[5,7,1,4,6,3,2]=>[5,1,4,6,3,2]=>8
[5,7,1,6,2,3,4]=>[5,1,6,2,3,4]=>8
[5,7,1,6,2,4,3]=>[5,1,6,2,4,3]=>9
[5,7,1,6,3,2,4]=>[5,1,6,3,2,4]=>8
[5,7,1,6,3,4,2]=>[5,1,6,3,4,2]=>9
[5,7,1,6,4,2,3]=>[5,1,6,4,2,3]=>8
[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>8
[5,7,2,1,3,4,6]=>[5,2,1,3,4,6]=>6
[5,7,2,1,3,6,4]=>[5,2,1,3,6,4]=>7
[5,7,2,1,4,3,6]=>[5,2,1,4,3,6]=>7
[5,7,2,1,4,6,3]=>[5,2,1,4,6,3]=>7
[5,7,2,1,6,3,4]=>[5,2,1,6,3,4]=>8
[5,7,2,1,6,4,3]=>[5,2,1,6,4,3]=>8
[5,7,2,3,1,4,6]=>[5,2,3,1,4,6]=>7
[5,7,2,3,1,6,4]=>[5,2,3,1,6,4]=>8
[5,7,2,3,4,1,6]=>[5,2,3,4,1,6]=>7
[5,7,2,3,4,6,1]=>[5,2,3,4,6,1]=>7
[5,7,2,3,6,1,4]=>[5,2,3,6,1,4]=>8
[5,7,2,3,6,4,1]=>[5,2,3,6,4,1]=>8
[5,7,2,4,1,3,6]=>[5,2,4,1,3,6]=>7
[5,7,2,4,1,6,3]=>[5,2,4,1,6,3]=>8
[5,7,2,4,3,1,6]=>[5,2,4,3,1,6]=>7
[5,7,2,4,3,6,1]=>[5,2,4,3,6,1]=>8
[5,7,2,4,6,1,3]=>[5,2,4,6,1,3]=>8
[5,7,2,4,6,3,1]=>[5,2,4,6,3,1]=>8
[5,7,2,6,1,3,4]=>[5,2,6,1,3,4]=>8
[5,7,2,6,1,4,3]=>[5,2,6,1,4,3]=>9
[5,7,2,6,3,1,4]=>[5,2,6,3,1,4]=>8
[5,7,2,6,3,4,1]=>[5,2,6,3,4,1]=>9
[5,7,2,6,4,1,3]=>[5,2,6,4,1,3]=>8
[5,7,2,6,4,3,1]=>[5,2,6,4,3,1]=>8
[5,7,3,1,2,4,6]=>[5,3,1,2,4,6]=>6
[5,7,3,1,2,6,4]=>[5,3,1,2,6,4]=>7
[5,7,3,1,4,2,6]=>[5,3,1,4,2,6]=>7
[5,7,3,1,4,6,2]=>[5,3,1,4,6,2]=>7
[5,7,3,1,6,2,4]=>[5,3,1,6,2,4]=>8
[5,7,3,1,6,4,2]=>[5,3,1,6,4,2]=>8
[5,7,3,2,1,4,6]=>[5,3,2,1,4,6]=>6
[5,7,3,2,1,6,4]=>[5,3,2,1,6,4]=>7
[5,7,3,2,4,1,6]=>[5,3,2,4,1,6]=>7
[5,7,3,2,4,6,1]=>[5,3,2,4,6,1]=>7
[5,7,3,2,6,1,4]=>[5,3,2,6,1,4]=>8
[5,7,3,2,6,4,1]=>[5,3,2,6,4,1]=>8
[5,7,3,4,1,2,6]=>[5,3,4,1,2,6]=>7
[5,7,3,4,1,6,2]=>[5,3,4,1,6,2]=>8
[5,7,3,4,2,1,6]=>[5,3,4,2,1,6]=>7
[5,7,3,4,2,6,1]=>[5,3,4,2,6,1]=>8
[5,7,3,4,6,1,2]=>[5,3,4,6,1,2]=>8
[5,7,3,4,6,2,1]=>[5,3,4,6,2,1]=>8
[5,7,3,6,1,2,4]=>[5,3,6,1,2,4]=>8
[5,7,3,6,1,4,2]=>[5,3,6,1,4,2]=>9
[5,7,3,6,2,1,4]=>[5,3,6,2,1,4]=>8
[5,7,3,6,2,4,1]=>[5,3,6,2,4,1]=>9
[5,7,3,6,4,1,2]=>[5,3,6,4,1,2]=>8
[5,7,3,6,4,2,1]=>[5,3,6,4,2,1]=>8
[5,7,4,1,2,3,6]=>[5,4,1,2,3,6]=>6
[5,7,4,1,2,6,3]=>[5,4,1,2,6,3]=>7
[5,7,4,1,3,2,6]=>[5,4,1,3,2,6]=>7
[5,7,4,1,3,6,2]=>[5,4,1,3,6,2]=>7
[5,7,4,1,6,2,3]=>[5,4,1,6,2,3]=>8
[5,7,4,1,6,3,2]=>[5,4,1,6,3,2]=>8
[5,7,4,2,1,3,6]=>[5,4,2,1,3,6]=>6
[5,7,4,2,1,6,3]=>[5,4,2,1,6,3]=>7
[5,7,4,2,3,1,6]=>[5,4,2,3,1,6]=>7
[5,7,4,2,3,6,1]=>[5,4,2,3,6,1]=>7
[5,7,4,2,6,1,3]=>[5,4,2,6,1,3]=>8
[5,7,4,2,6,3,1]=>[5,4,2,6,3,1]=>8
[5,7,4,3,1,2,6]=>[5,4,3,1,2,6]=>6
[5,7,4,3,1,6,2]=>[5,4,3,1,6,2]=>7
[5,7,4,3,2,1,6]=>[5,4,3,2,1,6]=>6
[5,7,4,3,2,6,1]=>[5,4,3,2,6,1]=>7
[5,7,4,3,6,1,2]=>[5,4,3,6,1,2]=>8
[5,7,4,3,6,2,1]=>[5,4,3,6,2,1]=>8
[5,7,4,6,1,2,3]=>[5,4,6,1,2,3]=>8
[5,7,4,6,1,3,2]=>[5,4,6,1,3,2]=>9
[5,7,4,6,2,1,3]=>[5,4,6,2,1,3]=>8
[5,7,4,6,2,3,1]=>[5,4,6,2,3,1]=>9
[5,7,4,6,3,1,2]=>[5,4,6,3,1,2]=>8
[5,7,4,6,3,2,1]=>[5,4,6,3,2,1]=>8
[5,7,6,1,2,3,4]=>[5,6,1,2,3,4]=>7
[5,7,6,1,2,4,3]=>[5,6,1,2,4,3]=>8
[5,7,6,1,3,2,4]=>[5,6,1,3,2,4]=>8
[5,7,6,1,3,4,2]=>[5,6,1,3,4,2]=>8
[5,7,6,1,4,2,3]=>[5,6,1,4,2,3]=>8
[5,7,6,1,4,3,2]=>[5,6,1,4,3,2]=>8
[5,7,6,2,1,3,4]=>[5,6,2,1,3,4]=>7
[5,7,6,2,1,4,3]=>[5,6,2,1,4,3]=>8
[5,7,6,2,3,1,4]=>[5,6,2,3,1,4]=>8
[5,7,6,2,3,4,1]=>[5,6,2,3,4,1]=>8
[5,7,6,2,4,1,3]=>[5,6,2,4,1,3]=>8
[5,7,6,2,4,3,1]=>[5,6,2,4,3,1]=>8
[5,7,6,3,1,2,4]=>[5,6,3,1,2,4]=>7
[5,7,6,3,1,4,2]=>[5,6,3,1,4,2]=>8
[5,7,6,3,2,1,4]=>[5,6,3,2,1,4]=>7
[5,7,6,3,2,4,1]=>[5,6,3,2,4,1]=>8
[5,7,6,3,4,1,2]=>[5,6,3,4,1,2]=>8
[5,7,6,3,4,2,1]=>[5,6,3,4,2,1]=>8
[5,7,6,4,1,2,3]=>[5,6,4,1,2,3]=>7
[5,7,6,4,1,3,2]=>[5,6,4,1,3,2]=>8
[5,7,6,4,2,1,3]=>[5,6,4,2,1,3]=>7
[5,7,6,4,2,3,1]=>[5,6,4,2,3,1]=>8
[5,7,6,4,3,1,2]=>[5,6,4,3,1,2]=>7
[5,7,6,4,3,2,1]=>[5,6,4,3,2,1]=>7
[6,1,2,3,4,5,7]=>[6,1,2,3,4,5]=>6
[6,1,2,3,4,7,5]=>[6,1,2,3,4,5]=>6
[6,1,2,3,5,4,7]=>[6,1,2,3,5,4]=>7
[6,1,2,3,5,7,4]=>[6,1,2,3,5,4]=>7
[6,1,2,3,7,4,5]=>[6,1,2,3,4,5]=>6
[6,1,2,3,7,5,4]=>[6,1,2,3,5,4]=>7
[6,1,2,4,3,5,7]=>[6,1,2,4,3,5]=>7
[6,1,2,4,3,7,5]=>[6,1,2,4,3,5]=>7
[6,1,2,4,5,3,7]=>[6,1,2,4,5,3]=>7
[6,1,2,4,5,7,3]=>[6,1,2,4,5,3]=>7
[6,1,2,4,7,3,5]=>[6,1,2,4,3,5]=>7
[6,1,2,4,7,5,3]=>[6,1,2,4,5,3]=>7
[6,1,2,5,3,4,7]=>[6,1,2,5,3,4]=>8
[6,1,2,5,3,7,4]=>[6,1,2,5,3,4]=>8
[6,1,2,5,4,3,7]=>[6,1,2,5,4,3]=>8
[6,1,2,5,4,7,3]=>[6,1,2,5,4,3]=>8
[6,1,2,5,7,3,4]=>[6,1,2,5,3,4]=>8
[6,1,2,5,7,4,3]=>[6,1,2,5,4,3]=>8
[6,1,2,7,3,4,5]=>[6,1,2,3,4,5]=>6
[6,1,2,7,3,5,4]=>[6,1,2,3,5,4]=>7
[6,1,2,7,4,3,5]=>[6,1,2,4,3,5]=>7
[6,1,2,7,4,5,3]=>[6,1,2,4,5,3]=>7
[6,1,2,7,5,3,4]=>[6,1,2,5,3,4]=>8
[6,1,2,7,5,4,3]=>[6,1,2,5,4,3]=>8
[6,1,3,2,4,5,7]=>[6,1,3,2,4,5]=>7
[6,1,3,2,4,7,5]=>[6,1,3,2,4,5]=>7
[6,1,3,2,5,4,7]=>[6,1,3,2,5,4]=>8
[6,1,3,2,5,7,4]=>[6,1,3,2,5,4]=>8
[6,1,3,2,7,4,5]=>[6,1,3,2,4,5]=>7
[6,1,3,2,7,5,4]=>[6,1,3,2,5,4]=>8
[6,1,3,4,2,5,7]=>[6,1,3,4,2,5]=>7
[6,1,3,4,2,7,5]=>[6,1,3,4,2,5]=>7
[6,1,3,4,5,2,7]=>[6,1,3,4,5,2]=>7
[6,1,3,4,5,7,2]=>[6,1,3,4,5,2]=>7
[6,1,3,4,7,2,5]=>[6,1,3,4,2,5]=>7
[6,1,3,4,7,5,2]=>[6,1,3,4,5,2]=>7
[6,1,3,5,2,4,7]=>[6,1,3,5,2,4]=>8
[6,1,3,5,2,7,4]=>[6,1,3,5,2,4]=>8
[6,1,3,5,4,2,7]=>[6,1,3,5,4,2]=>8
[6,1,3,5,4,7,2]=>[6,1,3,5,4,2]=>8
[6,1,3,5,7,2,4]=>[6,1,3,5,2,4]=>8
[6,1,3,5,7,4,2]=>[6,1,3,5,4,2]=>8
[6,1,3,7,2,4,5]=>[6,1,3,2,4,5]=>7
[6,1,3,7,2,5,4]=>[6,1,3,2,5,4]=>8
[6,1,3,7,4,2,5]=>[6,1,3,4,2,5]=>7
[6,1,3,7,4,5,2]=>[6,1,3,4,5,2]=>7
[6,1,3,7,5,2,4]=>[6,1,3,5,2,4]=>8
[6,1,3,7,5,4,2]=>[6,1,3,5,4,2]=>8
[6,1,4,2,3,5,7]=>[6,1,4,2,3,5]=>7
[6,1,4,2,3,7,5]=>[6,1,4,2,3,5]=>7
[6,1,4,2,5,3,7]=>[6,1,4,2,5,3]=>8
[6,1,4,2,5,7,3]=>[6,1,4,2,5,3]=>8
[6,1,4,2,7,3,5]=>[6,1,4,2,3,5]=>7
[6,1,4,2,7,5,3]=>[6,1,4,2,5,3]=>8
[6,1,4,3,2,5,7]=>[6,1,4,3,2,5]=>7
[6,1,4,3,2,7,5]=>[6,1,4,3,2,5]=>7
[6,1,4,3,5,2,7]=>[6,1,4,3,5,2]=>8
[6,1,4,3,5,7,2]=>[6,1,4,3,5,2]=>8
[6,1,4,3,7,2,5]=>[6,1,4,3,2,5]=>7
[6,1,4,3,7,5,2]=>[6,1,4,3,5,2]=>8
[6,1,4,5,2,3,7]=>[6,1,4,5,2,3]=>8
[6,1,4,5,2,7,3]=>[6,1,4,5,2,3]=>8
[6,1,4,5,3,2,7]=>[6,1,4,5,3,2]=>8
[6,1,4,5,3,7,2]=>[6,1,4,5,3,2]=>8
[6,1,4,5,7,2,3]=>[6,1,4,5,2,3]=>8
[6,1,4,5,7,3,2]=>[6,1,4,5,3,2]=>8
[6,1,4,7,2,3,5]=>[6,1,4,2,3,5]=>7
[6,1,4,7,2,5,3]=>[6,1,4,2,5,3]=>8
[6,1,4,7,3,2,5]=>[6,1,4,3,2,5]=>7
[6,1,4,7,3,5,2]=>[6,1,4,3,5,2]=>8
[6,1,4,7,5,2,3]=>[6,1,4,5,2,3]=>8
[6,1,4,7,5,3,2]=>[6,1,4,5,3,2]=>8
[6,1,5,2,3,4,7]=>[6,1,5,2,3,4]=>7
[6,1,5,2,3,7,4]=>[6,1,5,2,3,4]=>7
[6,1,5,2,4,3,7]=>[6,1,5,2,4,3]=>8
[6,1,5,2,4,7,3]=>[6,1,5,2,4,3]=>8
[6,1,5,2,7,3,4]=>[6,1,5,2,3,4]=>7
[6,1,5,2,7,4,3]=>[6,1,5,2,4,3]=>8
[6,1,5,3,2,4,7]=>[6,1,5,3,2,4]=>7
[6,1,5,3,2,7,4]=>[6,1,5,3,2,4]=>7
[6,1,5,3,4,2,7]=>[6,1,5,3,4,2]=>8
[6,1,5,3,4,7,2]=>[6,1,5,3,4,2]=>8
[6,1,5,3,7,2,4]=>[6,1,5,3,2,4]=>7
[6,1,5,3,7,4,2]=>[6,1,5,3,4,2]=>8
[6,1,5,4,2,3,7]=>[6,1,5,4,2,3]=>7
[6,1,5,4,2,7,3]=>[6,1,5,4,2,3]=>7
[6,1,5,4,3,2,7]=>[6,1,5,4,3,2]=>7
[6,1,5,4,3,7,2]=>[6,1,5,4,3,2]=>7
[6,1,5,4,7,2,3]=>[6,1,5,4,2,3]=>7
[6,1,5,4,7,3,2]=>[6,1,5,4,3,2]=>7
[6,1,5,7,2,3,4]=>[6,1,5,2,3,4]=>7
[6,1,5,7,2,4,3]=>[6,1,5,2,4,3]=>8
[6,1,5,7,3,2,4]=>[6,1,5,3,2,4]=>7
[6,1,5,7,3,4,2]=>[6,1,5,3,4,2]=>8
[6,1,5,7,4,2,3]=>[6,1,5,4,2,3]=>7
[6,1,5,7,4,3,2]=>[6,1,5,4,3,2]=>7
[6,1,7,2,3,4,5]=>[6,1,2,3,4,5]=>6
[6,1,7,2,3,5,4]=>[6,1,2,3,5,4]=>7
[6,1,7,2,4,3,5]=>[6,1,2,4,3,5]=>7
[6,1,7,2,4,5,3]=>[6,1,2,4,5,3]=>7
[6,1,7,2,5,3,4]=>[6,1,2,5,3,4]=>8
[6,1,7,2,5,4,3]=>[6,1,2,5,4,3]=>8
[6,1,7,3,2,4,5]=>[6,1,3,2,4,5]=>7
[6,1,7,3,2,5,4]=>[6,1,3,2,5,4]=>8
[6,1,7,3,4,2,5]=>[6,1,3,4,2,5]=>7
[6,1,7,3,4,5,2]=>[6,1,3,4,5,2]=>7
[6,1,7,3,5,2,4]=>[6,1,3,5,2,4]=>8
[6,1,7,3,5,4,2]=>[6,1,3,5,4,2]=>8
[6,1,7,4,2,3,5]=>[6,1,4,2,3,5]=>7
[6,1,7,4,2,5,3]=>[6,1,4,2,5,3]=>8
[6,1,7,4,3,2,5]=>[6,1,4,3,2,5]=>7
[6,1,7,4,3,5,2]=>[6,1,4,3,5,2]=>8
[6,1,7,4,5,2,3]=>[6,1,4,5,2,3]=>8
[6,1,7,4,5,3,2]=>[6,1,4,5,3,2]=>8
[6,1,7,5,2,3,4]=>[6,1,5,2,3,4]=>7
[6,1,7,5,2,4,3]=>[6,1,5,2,4,3]=>8
[6,1,7,5,3,2,4]=>[6,1,5,3,2,4]=>7
[6,1,7,5,3,4,2]=>[6,1,5,3,4,2]=>8
[6,1,7,5,4,2,3]=>[6,1,5,4,2,3]=>7
[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>7
[6,2,1,3,4,5,7]=>[6,2,1,3,4,5]=>6
[6,2,1,3,4,7,5]=>[6,2,1,3,4,5]=>6
[6,2,1,3,5,4,7]=>[6,2,1,3,5,4]=>7
[6,2,1,3,5,7,4]=>[6,2,1,3,5,4]=>7
[6,2,1,3,7,4,5]=>[6,2,1,3,4,5]=>6
[6,2,1,3,7,5,4]=>[6,2,1,3,5,4]=>7
[6,2,1,4,3,5,7]=>[6,2,1,4,3,5]=>7
[6,2,1,4,3,7,5]=>[6,2,1,4,3,5]=>7
[6,2,1,4,5,3,7]=>[6,2,1,4,5,3]=>7
[6,2,1,4,5,7,3]=>[6,2,1,4,5,3]=>7
[6,2,1,4,7,3,5]=>[6,2,1,4,3,5]=>7
[6,2,1,4,7,5,3]=>[6,2,1,4,5,3]=>7
[6,2,1,5,3,4,7]=>[6,2,1,5,3,4]=>8
[6,2,1,5,3,7,4]=>[6,2,1,5,3,4]=>8
[6,2,1,5,4,3,7]=>[6,2,1,5,4,3]=>8
[6,2,1,5,4,7,3]=>[6,2,1,5,4,3]=>8
[6,2,1,5,7,3,4]=>[6,2,1,5,3,4]=>8
[6,2,1,5,7,4,3]=>[6,2,1,5,4,3]=>8
[6,2,1,7,3,4,5]=>[6,2,1,3,4,5]=>6
[6,2,1,7,3,5,4]=>[6,2,1,3,5,4]=>7
[6,2,1,7,4,3,5]=>[6,2,1,4,3,5]=>7
[6,2,1,7,4,5,3]=>[6,2,1,4,5,3]=>7
[6,2,1,7,5,3,4]=>[6,2,1,5,3,4]=>8
[6,2,1,7,5,4,3]=>[6,2,1,5,4,3]=>8
[6,2,3,1,4,5,7]=>[6,2,3,1,4,5]=>7
[6,2,3,1,4,7,5]=>[6,2,3,1,4,5]=>7
[6,2,3,1,5,4,7]=>[6,2,3,1,5,4]=>8
[6,2,3,1,5,7,4]=>[6,2,3,1,5,4]=>8
[6,2,3,1,7,4,5]=>[6,2,3,1,4,5]=>7
[6,2,3,1,7,5,4]=>[6,2,3,1,5,4]=>8
[6,2,3,4,1,5,7]=>[6,2,3,4,1,5]=>7
[6,2,3,4,1,7,5]=>[6,2,3,4,1,5]=>7
[6,2,3,4,5,1,7]=>[6,2,3,4,5,1]=>7
[6,2,3,4,5,7,1]=>[6,2,3,4,5,1]=>7
[6,2,3,4,7,1,5]=>[6,2,3,4,1,5]=>7
[6,2,3,4,7,5,1]=>[6,2,3,4,5,1]=>7
[6,2,3,5,1,4,7]=>[6,2,3,5,1,4]=>8
[6,2,3,5,1,7,4]=>[6,2,3,5,1,4]=>8
[6,2,3,5,4,1,7]=>[6,2,3,5,4,1]=>8
[6,2,3,5,4,7,1]=>[6,2,3,5,4,1]=>8
[6,2,3,5,7,1,4]=>[6,2,3,5,1,4]=>8
[6,2,3,5,7,4,1]=>[6,2,3,5,4,1]=>8
[6,2,3,7,1,4,5]=>[6,2,3,1,4,5]=>7
[6,2,3,7,1,5,4]=>[6,2,3,1,5,4]=>8
[6,2,3,7,4,1,5]=>[6,2,3,4,1,5]=>7
[6,2,3,7,4,5,1]=>[6,2,3,4,5,1]=>7
[6,2,3,7,5,1,4]=>[6,2,3,5,1,4]=>8
[6,2,3,7,5,4,1]=>[6,2,3,5,4,1]=>8
[6,2,4,1,3,5,7]=>[6,2,4,1,3,5]=>7
[6,2,4,1,3,7,5]=>[6,2,4,1,3,5]=>7
[6,2,4,1,5,3,7]=>[6,2,4,1,5,3]=>8
[6,2,4,1,5,7,3]=>[6,2,4,1,5,3]=>8
[6,2,4,1,7,3,5]=>[6,2,4,1,3,5]=>7
[6,2,4,1,7,5,3]=>[6,2,4,1,5,3]=>8
[6,2,4,3,1,5,7]=>[6,2,4,3,1,5]=>7
[6,2,4,3,1,7,5]=>[6,2,4,3,1,5]=>7
[6,2,4,3,5,1,7]=>[6,2,4,3,5,1]=>8
[6,2,4,3,5,7,1]=>[6,2,4,3,5,1]=>8
[6,2,4,3,7,1,5]=>[6,2,4,3,1,5]=>7
[6,2,4,3,7,5,1]=>[6,2,4,3,5,1]=>8
[6,2,4,5,1,3,7]=>[6,2,4,5,1,3]=>8
[6,2,4,5,1,7,3]=>[6,2,4,5,1,3]=>8
[6,2,4,5,3,1,7]=>[6,2,4,5,3,1]=>8
[6,2,4,5,3,7,1]=>[6,2,4,5,3,1]=>8
[6,2,4,5,7,1,3]=>[6,2,4,5,1,3]=>8
[6,2,4,5,7,3,1]=>[6,2,4,5,3,1]=>8
[6,2,4,7,1,3,5]=>[6,2,4,1,3,5]=>7
[6,2,4,7,1,5,3]=>[6,2,4,1,5,3]=>8
[6,2,4,7,3,1,5]=>[6,2,4,3,1,5]=>7
[6,2,4,7,3,5,1]=>[6,2,4,3,5,1]=>8
[6,2,4,7,5,1,3]=>[6,2,4,5,1,3]=>8
[6,2,4,7,5,3,1]=>[6,2,4,5,3,1]=>8
[6,2,5,1,3,4,7]=>[6,2,5,1,3,4]=>7
[6,2,5,1,3,7,4]=>[6,2,5,1,3,4]=>7
[6,2,5,1,4,3,7]=>[6,2,5,1,4,3]=>8
[6,2,5,1,4,7,3]=>[6,2,5,1,4,3]=>8
[6,2,5,1,7,3,4]=>[6,2,5,1,3,4]=>7
[6,2,5,1,7,4,3]=>[6,2,5,1,4,3]=>8
[6,2,5,3,1,4,7]=>[6,2,5,3,1,4]=>7
[6,2,5,3,1,7,4]=>[6,2,5,3,1,4]=>7
[6,2,5,3,4,1,7]=>[6,2,5,3,4,1]=>8
[6,2,5,3,4,7,1]=>[6,2,5,3,4,1]=>8
[6,2,5,3,7,1,4]=>[6,2,5,3,1,4]=>7
[6,2,5,3,7,4,1]=>[6,2,5,3,4,1]=>8
[6,2,5,4,1,3,7]=>[6,2,5,4,1,3]=>7
[6,2,5,4,1,7,3]=>[6,2,5,4,1,3]=>7
[6,2,5,4,3,1,7]=>[6,2,5,4,3,1]=>7
[6,2,5,4,3,7,1]=>[6,2,5,4,3,1]=>7
[6,2,5,4,7,1,3]=>[6,2,5,4,1,3]=>7
[6,2,5,4,7,3,1]=>[6,2,5,4,3,1]=>7
[6,2,5,7,1,3,4]=>[6,2,5,1,3,4]=>7
[6,2,5,7,1,4,3]=>[6,2,5,1,4,3]=>8
[6,2,5,7,3,1,4]=>[6,2,5,3,1,4]=>7
[6,2,5,7,3,4,1]=>[6,2,5,3,4,1]=>8
[6,2,5,7,4,1,3]=>[6,2,5,4,1,3]=>7
[6,2,5,7,4,3,1]=>[6,2,5,4,3,1]=>7
[6,2,7,1,3,4,5]=>[6,2,1,3,4,5]=>6
[6,2,7,1,3,5,4]=>[6,2,1,3,5,4]=>7
[6,2,7,1,4,3,5]=>[6,2,1,4,3,5]=>7
[6,2,7,1,4,5,3]=>[6,2,1,4,5,3]=>7
[6,2,7,1,5,3,4]=>[6,2,1,5,3,4]=>8
[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>8
[6,2,7,3,1,4,5]=>[6,2,3,1,4,5]=>7
[6,2,7,3,1,5,4]=>[6,2,3,1,5,4]=>8
[6,2,7,3,4,1,5]=>[6,2,3,4,1,5]=>7
[6,2,7,3,4,5,1]=>[6,2,3,4,5,1]=>7
[6,2,7,3,5,1,4]=>[6,2,3,5,1,4]=>8
[6,2,7,3,5,4,1]=>[6,2,3,5,4,1]=>8
[6,2,7,4,1,3,5]=>[6,2,4,1,3,5]=>7
[6,2,7,4,1,5,3]=>[6,2,4,1,5,3]=>8
[6,2,7,4,3,1,5]=>[6,2,4,3,1,5]=>7
[6,2,7,4,3,5,1]=>[6,2,4,3,5,1]=>8
[6,2,7,4,5,1,3]=>[6,2,4,5,1,3]=>8
[6,2,7,4,5,3,1]=>[6,2,4,5,3,1]=>8
[6,2,7,5,1,3,4]=>[6,2,5,1,3,4]=>7
[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>8
[6,2,7,5,3,1,4]=>[6,2,5,3,1,4]=>7
[6,2,7,5,3,4,1]=>[6,2,5,3,4,1]=>8
[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>7
[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>7
[6,3,1,2,4,5,7]=>[6,3,1,2,4,5]=>6
[6,3,1,2,4,7,5]=>[6,3,1,2,4,5]=>6
[6,3,1,2,5,4,7]=>[6,3,1,2,5,4]=>7
[6,3,1,2,5,7,4]=>[6,3,1,2,5,4]=>7
[6,3,1,2,7,4,5]=>[6,3,1,2,4,5]=>6
[6,3,1,2,7,5,4]=>[6,3,1,2,5,4]=>7
[6,3,1,4,2,5,7]=>[6,3,1,4,2,5]=>7
[6,3,1,4,2,7,5]=>[6,3,1,4,2,5]=>7
[6,3,1,4,5,2,7]=>[6,3,1,4,5,2]=>7
[6,3,1,4,5,7,2]=>[6,3,1,4,5,2]=>7
[6,3,1,4,7,2,5]=>[6,3,1,4,2,5]=>7
[6,3,1,4,7,5,2]=>[6,3,1,4,5,2]=>7
[6,3,1,5,2,4,7]=>[6,3,1,5,2,4]=>8
[6,3,1,5,2,7,4]=>[6,3,1,5,2,4]=>8
[6,3,1,5,4,2,7]=>[6,3,1,5,4,2]=>8
[6,3,1,5,4,7,2]=>[6,3,1,5,4,2]=>8
[6,3,1,5,7,2,4]=>[6,3,1,5,2,4]=>8
[6,3,1,5,7,4,2]=>[6,3,1,5,4,2]=>8
[6,3,1,7,2,4,5]=>[6,3,1,2,4,5]=>6
[6,3,1,7,2,5,4]=>[6,3,1,2,5,4]=>7
[6,3,1,7,4,2,5]=>[6,3,1,4,2,5]=>7
[6,3,1,7,4,5,2]=>[6,3,1,4,5,2]=>7
[6,3,1,7,5,2,4]=>[6,3,1,5,2,4]=>8
[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>8
[6,3,2,1,4,5,7]=>[6,3,2,1,4,5]=>6
[6,3,2,1,4,7,5]=>[6,3,2,1,4,5]=>6
[6,3,2,1,5,4,7]=>[6,3,2,1,5,4]=>7
[6,3,2,1,5,7,4]=>[6,3,2,1,5,4]=>7
[6,3,2,1,7,4,5]=>[6,3,2,1,4,5]=>6
[6,3,2,1,7,5,4]=>[6,3,2,1,5,4]=>7
[6,3,2,4,1,5,7]=>[6,3,2,4,1,5]=>7
[6,3,2,4,1,7,5]=>[6,3,2,4,1,5]=>7
[6,3,2,4,5,1,7]=>[6,3,2,4,5,1]=>7
[6,3,2,4,5,7,1]=>[6,3,2,4,5,1]=>7
[6,3,2,4,7,1,5]=>[6,3,2,4,1,5]=>7
[6,3,2,4,7,5,1]=>[6,3,2,4,5,1]=>7
[6,3,2,5,1,4,7]=>[6,3,2,5,1,4]=>8
[6,3,2,5,1,7,4]=>[6,3,2,5,1,4]=>8
[6,3,2,5,4,1,7]=>[6,3,2,5,4,1]=>8
[6,3,2,5,4,7,1]=>[6,3,2,5,4,1]=>8
[6,3,2,5,7,1,4]=>[6,3,2,5,1,4]=>8
[6,3,2,5,7,4,1]=>[6,3,2,5,4,1]=>8
[6,3,2,7,1,4,5]=>[6,3,2,1,4,5]=>6
[6,3,2,7,1,5,4]=>[6,3,2,1,5,4]=>7
[6,3,2,7,4,1,5]=>[6,3,2,4,1,5]=>7
[6,3,2,7,4,5,1]=>[6,3,2,4,5,1]=>7
[6,3,2,7,5,1,4]=>[6,3,2,5,1,4]=>8
[6,3,2,7,5,4,1]=>[6,3,2,5,4,1]=>8
[6,3,4,1,2,5,7]=>[6,3,4,1,2,5]=>7
[6,3,4,1,2,7,5]=>[6,3,4,1,2,5]=>7
[6,3,4,1,5,2,7]=>[6,3,4,1,5,2]=>8
[6,3,4,1,5,7,2]=>[6,3,4,1,5,2]=>8
[6,3,4,1,7,2,5]=>[6,3,4,1,2,5]=>7
[6,3,4,1,7,5,2]=>[6,3,4,1,5,2]=>8
[6,3,4,2,1,5,7]=>[6,3,4,2,1,5]=>7
[6,3,4,2,1,7,5]=>[6,3,4,2,1,5]=>7
[6,3,4,2,5,1,7]=>[6,3,4,2,5,1]=>8
[6,3,4,2,5,7,1]=>[6,3,4,2,5,1]=>8
[6,3,4,2,7,1,5]=>[6,3,4,2,1,5]=>7
[6,3,4,2,7,5,1]=>[6,3,4,2,5,1]=>8
[6,3,4,5,1,2,7]=>[6,3,4,5,1,2]=>8
[6,3,4,5,1,7,2]=>[6,3,4,5,1,2]=>8
[6,3,4,5,2,1,7]=>[6,3,4,5,2,1]=>8
[6,3,4,5,2,7,1]=>[6,3,4,5,2,1]=>8
[6,3,4,5,7,1,2]=>[6,3,4,5,1,2]=>8
[6,3,4,5,7,2,1]=>[6,3,4,5,2,1]=>8
[6,3,4,7,1,2,5]=>[6,3,4,1,2,5]=>7
[6,3,4,7,1,5,2]=>[6,3,4,1,5,2]=>8
[6,3,4,7,2,1,5]=>[6,3,4,2,1,5]=>7
[6,3,4,7,2,5,1]=>[6,3,4,2,5,1]=>8
[6,3,4,7,5,1,2]=>[6,3,4,5,1,2]=>8
[6,3,4,7,5,2,1]=>[6,3,4,5,2,1]=>8
[6,3,5,1,2,4,7]=>[6,3,5,1,2,4]=>7
[6,3,5,1,2,7,4]=>[6,3,5,1,2,4]=>7
[6,3,5,1,4,2,7]=>[6,3,5,1,4,2]=>8
[6,3,5,1,4,7,2]=>[6,3,5,1,4,2]=>8
[6,3,5,1,7,2,4]=>[6,3,5,1,2,4]=>7
[6,3,5,1,7,4,2]=>[6,3,5,1,4,2]=>8
[6,3,5,2,1,4,7]=>[6,3,5,2,1,4]=>7
[6,3,5,2,1,7,4]=>[6,3,5,2,1,4]=>7
[6,3,5,2,4,1,7]=>[6,3,5,2,4,1]=>8
[6,3,5,2,4,7,1]=>[6,3,5,2,4,1]=>8
[6,3,5,2,7,1,4]=>[6,3,5,2,1,4]=>7
[6,3,5,2,7,4,1]=>[6,3,5,2,4,1]=>8
[6,3,5,4,1,2,7]=>[6,3,5,4,1,2]=>7
[6,3,5,4,1,7,2]=>[6,3,5,4,1,2]=>7
[6,3,5,4,2,1,7]=>[6,3,5,4,2,1]=>7
[6,3,5,4,2,7,1]=>[6,3,5,4,2,1]=>7
[6,3,5,4,7,1,2]=>[6,3,5,4,1,2]=>7
[6,3,5,4,7,2,1]=>[6,3,5,4,2,1]=>7
[6,3,5,7,1,2,4]=>[6,3,5,1,2,4]=>7
[6,3,5,7,1,4,2]=>[6,3,5,1,4,2]=>8
[6,3,5,7,2,1,4]=>[6,3,5,2,1,4]=>7
[6,3,5,7,2,4,1]=>[6,3,5,2,4,1]=>8
[6,3,5,7,4,1,2]=>[6,3,5,4,1,2]=>7
[6,3,5,7,4,2,1]=>[6,3,5,4,2,1]=>7
[6,3,7,1,2,4,5]=>[6,3,1,2,4,5]=>6
[6,3,7,1,2,5,4]=>[6,3,1,2,5,4]=>7
[6,3,7,1,4,2,5]=>[6,3,1,4,2,5]=>7
[6,3,7,1,4,5,2]=>[6,3,1,4,5,2]=>7
[6,3,7,1,5,2,4]=>[6,3,1,5,2,4]=>8
[6,3,7,1,5,4,2]=>[6,3,1,5,4,2]=>8
[6,3,7,2,1,4,5]=>[6,3,2,1,4,5]=>6
[6,3,7,2,1,5,4]=>[6,3,2,1,5,4]=>7
[6,3,7,2,4,1,5]=>[6,3,2,4,1,5]=>7
[6,3,7,2,4,5,1]=>[6,3,2,4,5,1]=>7
[6,3,7,2,5,1,4]=>[6,3,2,5,1,4]=>8
[6,3,7,2,5,4,1]=>[6,3,2,5,4,1]=>8
[6,3,7,4,1,2,5]=>[6,3,4,1,2,5]=>7
[6,3,7,4,1,5,2]=>[6,3,4,1,5,2]=>8
[6,3,7,4,2,1,5]=>[6,3,4,2,1,5]=>7
[6,3,7,4,2,5,1]=>[6,3,4,2,5,1]=>8
[6,3,7,4,5,1,2]=>[6,3,4,5,1,2]=>8
[6,3,7,4,5,2,1]=>[6,3,4,5,2,1]=>8
[6,3,7,5,1,2,4]=>[6,3,5,1,2,4]=>7
[6,3,7,5,1,4,2]=>[6,3,5,1,4,2]=>8
[6,3,7,5,2,1,4]=>[6,3,5,2,1,4]=>7
[6,3,7,5,2,4,1]=>[6,3,5,2,4,1]=>8
[6,3,7,5,4,1,2]=>[6,3,5,4,1,2]=>7
[6,3,7,5,4,2,1]=>[6,3,5,4,2,1]=>7
[6,4,1,2,3,5,7]=>[6,4,1,2,3,5]=>6
[6,4,1,2,3,7,5]=>[6,4,1,2,3,5]=>6
[6,4,1,2,5,3,7]=>[6,4,1,2,5,3]=>7
[6,4,1,2,5,7,3]=>[6,4,1,2,5,3]=>7
[6,4,1,2,7,3,5]=>[6,4,1,2,3,5]=>6
[6,4,1,2,7,5,3]=>[6,4,1,2,5,3]=>7
[6,4,1,3,2,5,7]=>[6,4,1,3,2,5]=>7
[6,4,1,3,2,7,5]=>[6,4,1,3,2,5]=>7
[6,4,1,3,5,2,7]=>[6,4,1,3,5,2]=>7
[6,4,1,3,5,7,2]=>[6,4,1,3,5,2]=>7
[6,4,1,3,7,2,5]=>[6,4,1,3,2,5]=>7
[6,4,1,3,7,5,2]=>[6,4,1,3,5,2]=>7
[6,4,1,5,2,3,7]=>[6,4,1,5,2,3]=>8
[6,4,1,5,2,7,3]=>[6,4,1,5,2,3]=>8
[6,4,1,5,3,2,7]=>[6,4,1,5,3,2]=>8
[6,4,1,5,3,7,2]=>[6,4,1,5,3,2]=>8
[6,4,1,5,7,2,3]=>[6,4,1,5,2,3]=>8
[6,4,1,5,7,3,2]=>[6,4,1,5,3,2]=>8
[6,4,1,7,2,3,5]=>[6,4,1,2,3,5]=>6
[6,4,1,7,2,5,3]=>[6,4,1,2,5,3]=>7
[6,4,1,7,3,2,5]=>[6,4,1,3,2,5]=>7
[6,4,1,7,3,5,2]=>[6,4,1,3,5,2]=>7
[6,4,1,7,5,2,3]=>[6,4,1,5,2,3]=>8
[6,4,1,7,5,3,2]=>[6,4,1,5,3,2]=>8
[6,4,2,1,3,5,7]=>[6,4,2,1,3,5]=>6
[6,4,2,1,3,7,5]=>[6,4,2,1,3,5]=>6
[6,4,2,1,5,3,7]=>[6,4,2,1,5,3]=>7
[6,4,2,1,5,7,3]=>[6,4,2,1,5,3]=>7
[6,4,2,1,7,3,5]=>[6,4,2,1,3,5]=>6
[6,4,2,1,7,5,3]=>[6,4,2,1,5,3]=>7
[6,4,2,3,1,5,7]=>[6,4,2,3,1,5]=>7
[6,4,2,3,1,7,5]=>[6,4,2,3,1,5]=>7
[6,4,2,3,5,1,7]=>[6,4,2,3,5,1]=>7
[6,4,2,3,5,7,1]=>[6,4,2,3,5,1]=>7
[6,4,2,3,7,1,5]=>[6,4,2,3,1,5]=>7
[6,4,2,3,7,5,1]=>[6,4,2,3,5,1]=>7
[6,4,2,5,1,3,7]=>[6,4,2,5,1,3]=>8
[6,4,2,5,1,7,3]=>[6,4,2,5,1,3]=>8
[6,4,2,5,3,1,7]=>[6,4,2,5,3,1]=>8
[6,4,2,5,3,7,1]=>[6,4,2,5,3,1]=>8
[6,4,2,5,7,1,3]=>[6,4,2,5,1,3]=>8
[6,4,2,5,7,3,1]=>[6,4,2,5,3,1]=>8
[6,4,2,7,1,3,5]=>[6,4,2,1,3,5]=>6
[6,4,2,7,1,5,3]=>[6,4,2,1,5,3]=>7
[6,4,2,7,3,1,5]=>[6,4,2,3,1,5]=>7
[6,4,2,7,3,5,1]=>[6,4,2,3,5,1]=>7
[6,4,2,7,5,1,3]=>[6,4,2,5,1,3]=>8
[6,4,2,7,5,3,1]=>[6,4,2,5,3,1]=>8
[6,4,3,1,2,5,7]=>[6,4,3,1,2,5]=>6
[6,4,3,1,2,7,5]=>[6,4,3,1,2,5]=>6
[6,4,3,1,5,2,7]=>[6,4,3,1,5,2]=>7
[6,4,3,1,5,7,2]=>[6,4,3,1,5,2]=>7
[6,4,3,1,7,2,5]=>[6,4,3,1,2,5]=>6
[6,4,3,1,7,5,2]=>[6,4,3,1,5,2]=>7
[6,4,3,2,1,5,7]=>[6,4,3,2,1,5]=>6
[6,4,3,2,1,7,5]=>[6,4,3,2,1,5]=>6
[6,4,3,2,5,1,7]=>[6,4,3,2,5,1]=>7
[6,4,3,2,5,7,1]=>[6,4,3,2,5,1]=>7
[6,4,3,2,7,1,5]=>[6,4,3,2,1,5]=>6
[6,4,3,2,7,5,1]=>[6,4,3,2,5,1]=>7
[6,4,3,5,1,2,7]=>[6,4,3,5,1,2]=>8
[6,4,3,5,1,7,2]=>[6,4,3,5,1,2]=>8
[6,4,3,5,2,1,7]=>[6,4,3,5,2,1]=>8
[6,4,3,5,2,7,1]=>[6,4,3,5,2,1]=>8
[6,4,3,5,7,1,2]=>[6,4,3,5,1,2]=>8
[6,4,3,5,7,2,1]=>[6,4,3,5,2,1]=>8
[6,4,3,7,1,2,5]=>[6,4,3,1,2,5]=>6
[6,4,3,7,1,5,2]=>[6,4,3,1,5,2]=>7
[6,4,3,7,2,1,5]=>[6,4,3,2,1,5]=>6
[6,4,3,7,2,5,1]=>[6,4,3,2,5,1]=>7
[6,4,3,7,5,1,2]=>[6,4,3,5,1,2]=>8
[6,4,3,7,5,2,1]=>[6,4,3,5,2,1]=>8
[6,4,5,1,2,3,7]=>[6,4,5,1,2,3]=>7
[6,4,5,1,2,7,3]=>[6,4,5,1,2,3]=>7
[6,4,5,1,3,2,7]=>[6,4,5,1,3,2]=>8
[6,4,5,1,3,7,2]=>[6,4,5,1,3,2]=>8
[6,4,5,1,7,2,3]=>[6,4,5,1,2,3]=>7
[6,4,5,1,7,3,2]=>[6,4,5,1,3,2]=>8
[6,4,5,2,1,3,7]=>[6,4,5,2,1,3]=>7
[6,4,5,2,1,7,3]=>[6,4,5,2,1,3]=>7
[6,4,5,2,3,1,7]=>[6,4,5,2,3,1]=>8
[6,4,5,2,3,7,1]=>[6,4,5,2,3,1]=>8
[6,4,5,2,7,1,3]=>[6,4,5,2,1,3]=>7
[6,4,5,2,7,3,1]=>[6,4,5,2,3,1]=>8
[6,4,5,3,1,2,7]=>[6,4,5,3,1,2]=>7
[6,4,5,3,1,7,2]=>[6,4,5,3,1,2]=>7
[6,4,5,3,2,1,7]=>[6,4,5,3,2,1]=>7
[6,4,5,3,2,7,1]=>[6,4,5,3,2,1]=>7
[6,4,5,3,7,1,2]=>[6,4,5,3,1,2]=>7
[6,4,5,3,7,2,1]=>[6,4,5,3,2,1]=>7
[6,4,5,7,1,2,3]=>[6,4,5,1,2,3]=>7
[6,4,5,7,1,3,2]=>[6,4,5,1,3,2]=>8
[6,4,5,7,2,1,3]=>[6,4,5,2,1,3]=>7
[6,4,5,7,2,3,1]=>[6,4,5,2,3,1]=>8
[6,4,5,7,3,1,2]=>[6,4,5,3,1,2]=>7
[6,4,5,7,3,2,1]=>[6,4,5,3,2,1]=>7
[6,4,7,1,2,3,5]=>[6,4,1,2,3,5]=>6
[6,4,7,1,2,5,3]=>[6,4,1,2,5,3]=>7
[6,4,7,1,3,2,5]=>[6,4,1,3,2,5]=>7
[6,4,7,1,3,5,2]=>[6,4,1,3,5,2]=>7
[6,4,7,1,5,2,3]=>[6,4,1,5,2,3]=>8
[6,4,7,1,5,3,2]=>[6,4,1,5,3,2]=>8
[6,4,7,2,1,3,5]=>[6,4,2,1,3,5]=>6
[6,4,7,2,1,5,3]=>[6,4,2,1,5,3]=>7
[6,4,7,2,3,1,5]=>[6,4,2,3,1,5]=>7
[6,4,7,2,3,5,1]=>[6,4,2,3,5,1]=>7
[6,4,7,2,5,1,3]=>[6,4,2,5,1,3]=>8
[6,4,7,2,5,3,1]=>[6,4,2,5,3,1]=>8
[6,4,7,3,1,2,5]=>[6,4,3,1,2,5]=>6
[6,4,7,3,1,5,2]=>[6,4,3,1,5,2]=>7
[6,4,7,3,2,1,5]=>[6,4,3,2,1,5]=>6
[6,4,7,3,2,5,1]=>[6,4,3,2,5,1]=>7
[6,4,7,3,5,1,2]=>[6,4,3,5,1,2]=>8
[6,4,7,3,5,2,1]=>[6,4,3,5,2,1]=>8
[6,4,7,5,1,2,3]=>[6,4,5,1,2,3]=>7
[6,4,7,5,1,3,2]=>[6,4,5,1,3,2]=>8
[6,4,7,5,2,1,3]=>[6,4,5,2,1,3]=>7
[6,4,7,5,2,3,1]=>[6,4,5,2,3,1]=>8
[6,4,7,5,3,1,2]=>[6,4,5,3,1,2]=>7
[6,4,7,5,3,2,1]=>[6,4,5,3,2,1]=>7
[6,5,1,2,3,4,7]=>[6,5,1,2,3,4]=>6
[6,5,1,2,3,7,4]=>[6,5,1,2,3,4]=>6
[6,5,1,2,4,3,7]=>[6,5,1,2,4,3]=>7
[6,5,1,2,4,7,3]=>[6,5,1,2,4,3]=>7
[6,5,1,2,7,3,4]=>[6,5,1,2,3,4]=>6
[6,5,1,2,7,4,3]=>[6,5,1,2,4,3]=>7
[6,5,1,3,2,4,7]=>[6,5,1,3,2,4]=>7
[6,5,1,3,2,7,4]=>[6,5,1,3,2,4]=>7
[6,5,1,3,4,2,7]=>[6,5,1,3,4,2]=>7
[6,5,1,3,4,7,2]=>[6,5,1,3,4,2]=>7
[6,5,1,3,7,2,4]=>[6,5,1,3,2,4]=>7
[6,5,1,3,7,4,2]=>[6,5,1,3,4,2]=>7
[6,5,1,4,2,3,7]=>[6,5,1,4,2,3]=>7
[6,5,1,4,2,7,3]=>[6,5,1,4,2,3]=>7
[6,5,1,4,3,2,7]=>[6,5,1,4,3,2]=>7
[6,5,1,4,3,7,2]=>[6,5,1,4,3,2]=>7
[6,5,1,4,7,2,3]=>[6,5,1,4,2,3]=>7
[6,5,1,4,7,3,2]=>[6,5,1,4,3,2]=>7
[6,5,1,7,2,3,4]=>[6,5,1,2,3,4]=>6
[6,5,1,7,2,4,3]=>[6,5,1,2,4,3]=>7
[6,5,1,7,3,2,4]=>[6,5,1,3,2,4]=>7
[6,5,1,7,3,4,2]=>[6,5,1,3,4,2]=>7
[6,5,1,7,4,2,3]=>[6,5,1,4,2,3]=>7
[6,5,1,7,4,3,2]=>[6,5,1,4,3,2]=>7
[6,5,2,1,3,4,7]=>[6,5,2,1,3,4]=>6
[6,5,2,1,3,7,4]=>[6,5,2,1,3,4]=>6
[6,5,2,1,4,3,7]=>[6,5,2,1,4,3]=>7
[6,5,2,1,4,7,3]=>[6,5,2,1,4,3]=>7
[6,5,2,1,7,3,4]=>[6,5,2,1,3,4]=>6
[6,5,2,1,7,4,3]=>[6,5,2,1,4,3]=>7
[6,5,2,3,1,4,7]=>[6,5,2,3,1,4]=>7
[6,5,2,3,1,7,4]=>[6,5,2,3,1,4]=>7
[6,5,2,3,4,1,7]=>[6,5,2,3,4,1]=>7
[6,5,2,3,4,7,1]=>[6,5,2,3,4,1]=>7
[6,5,2,3,7,1,4]=>[6,5,2,3,1,4]=>7
[6,5,2,3,7,4,1]=>[6,5,2,3,4,1]=>7
[6,5,2,4,1,3,7]=>[6,5,2,4,1,3]=>7
[6,5,2,4,1,7,3]=>[6,5,2,4,1,3]=>7
[6,5,2,4,3,1,7]=>[6,5,2,4,3,1]=>7
[6,5,2,4,3,7,1]=>[6,5,2,4,3,1]=>7
[6,5,2,4,7,1,3]=>[6,5,2,4,1,3]=>7
[6,5,2,4,7,3,1]=>[6,5,2,4,3,1]=>7
[6,5,2,7,1,3,4]=>[6,5,2,1,3,4]=>6
[6,5,2,7,1,4,3]=>[6,5,2,1,4,3]=>7
[6,5,2,7,3,1,4]=>[6,5,2,3,1,4]=>7
[6,5,2,7,3,4,1]=>[6,5,2,3,4,1]=>7
[6,5,2,7,4,1,3]=>[6,5,2,4,1,3]=>7
[6,5,2,7,4,3,1]=>[6,5,2,4,3,1]=>7
[6,5,3,1,2,4,7]=>[6,5,3,1,2,4]=>6
[6,5,3,1,2,7,4]=>[6,5,3,1,2,4]=>6
[6,5,3,1,4,2,7]=>[6,5,3,1,4,2]=>7
[6,5,3,1,4,7,2]=>[6,5,3,1,4,2]=>7
[6,5,3,1,7,2,4]=>[6,5,3,1,2,4]=>6
[6,5,3,1,7,4,2]=>[6,5,3,1,4,2]=>7
[6,5,3,2,1,4,7]=>[6,5,3,2,1,4]=>6
[6,5,3,2,1,7,4]=>[6,5,3,2,1,4]=>6
[6,5,3,2,4,1,7]=>[6,5,3,2,4,1]=>7
[6,5,3,2,4,7,1]=>[6,5,3,2,4,1]=>7
[6,5,3,2,7,1,4]=>[6,5,3,2,1,4]=>6
[6,5,3,2,7,4,1]=>[6,5,3,2,4,1]=>7
[6,5,3,4,1,2,7]=>[6,5,3,4,1,2]=>7
[6,5,3,4,1,7,2]=>[6,5,3,4,1,2]=>7
[6,5,3,4,2,1,7]=>[6,5,3,4,2,1]=>7
[6,5,3,4,2,7,1]=>[6,5,3,4,2,1]=>7
[6,5,3,4,7,1,2]=>[6,5,3,4,1,2]=>7
[6,5,3,4,7,2,1]=>[6,5,3,4,2,1]=>7
[6,5,3,7,1,2,4]=>[6,5,3,1,2,4]=>6
[6,5,3,7,1,4,2]=>[6,5,3,1,4,2]=>7
[6,5,3,7,2,1,4]=>[6,5,3,2,1,4]=>6
[6,5,3,7,2,4,1]=>[6,5,3,2,4,1]=>7
[6,5,3,7,4,1,2]=>[6,5,3,4,1,2]=>7
[6,5,3,7,4,2,1]=>[6,5,3,4,2,1]=>7
[6,5,4,1,2,3,7]=>[6,5,4,1,2,3]=>6
[6,5,4,1,2,7,3]=>[6,5,4,1,2,3]=>6
[6,5,4,1,3,2,7]=>[6,5,4,1,3,2]=>7
[6,5,4,1,3,7,2]=>[6,5,4,1,3,2]=>7
[6,5,4,1,7,2,3]=>[6,5,4,1,2,3]=>6
[6,5,4,1,7,3,2]=>[6,5,4,1,3,2]=>7
[6,5,4,2,1,3,7]=>[6,5,4,2,1,3]=>6
[6,5,4,2,1,7,3]=>[6,5,4,2,1,3]=>6
[6,5,4,2,3,1,7]=>[6,5,4,2,3,1]=>7
[6,5,4,2,3,7,1]=>[6,5,4,2,3,1]=>7
[6,5,4,2,7,1,3]=>[6,5,4,2,1,3]=>6
[6,5,4,2,7,3,1]=>[6,5,4,2,3,1]=>7
[6,5,4,3,1,2,7]=>[6,5,4,3,1,2]=>6
[6,5,4,3,1,7,2]=>[6,5,4,3,1,2]=>6
[6,5,4,3,2,1,7]=>[6,5,4,3,2,1]=>6
[6,5,4,3,2,7,1]=>[6,5,4,3,2,1]=>6
[6,5,4,3,7,1,2]=>[6,5,4,3,1,2]=>6
[6,5,4,3,7,2,1]=>[6,5,4,3,2,1]=>6
[6,5,4,7,1,2,3]=>[6,5,4,1,2,3]=>6
[6,5,4,7,1,3,2]=>[6,5,4,1,3,2]=>7
[6,5,4,7,2,1,3]=>[6,5,4,2,1,3]=>6
[6,5,4,7,2,3,1]=>[6,5,4,2,3,1]=>7
[6,5,4,7,3,1,2]=>[6,5,4,3,1,2]=>6
[6,5,4,7,3,2,1]=>[6,5,4,3,2,1]=>6
[6,5,7,1,2,3,4]=>[6,5,1,2,3,4]=>6
[6,5,7,1,2,4,3]=>[6,5,1,2,4,3]=>7
[6,5,7,1,3,2,4]=>[6,5,1,3,2,4]=>7
[6,5,7,1,3,4,2]=>[6,5,1,3,4,2]=>7
[6,5,7,1,4,2,3]=>[6,5,1,4,2,3]=>7
[6,5,7,1,4,3,2]=>[6,5,1,4,3,2]=>7
[6,5,7,2,1,3,4]=>[6,5,2,1,3,4]=>6
[6,5,7,2,1,4,3]=>[6,5,2,1,4,3]=>7
[6,5,7,2,3,1,4]=>[6,5,2,3,1,4]=>7
[6,5,7,2,3,4,1]=>[6,5,2,3,4,1]=>7
[6,5,7,2,4,1,3]=>[6,5,2,4,1,3]=>7
[6,5,7,2,4,3,1]=>[6,5,2,4,3,1]=>7
[6,5,7,3,1,2,4]=>[6,5,3,1,2,4]=>6
[6,5,7,3,1,4,2]=>[6,5,3,1,4,2]=>7
[6,5,7,3,2,1,4]=>[6,5,3,2,1,4]=>6
[6,5,7,3,2,4,1]=>[6,5,3,2,4,1]=>7
[6,5,7,3,4,1,2]=>[6,5,3,4,1,2]=>7
[6,5,7,3,4,2,1]=>[6,5,3,4,2,1]=>7
[6,5,7,4,1,2,3]=>[6,5,4,1,2,3]=>6
[6,5,7,4,1,3,2]=>[6,5,4,1,3,2]=>7
[6,5,7,4,2,1,3]=>[6,5,4,2,1,3]=>6
[6,5,7,4,2,3,1]=>[6,5,4,2,3,1]=>7
[6,5,7,4,3,1,2]=>[6,5,4,3,1,2]=>6
[6,5,7,4,3,2,1]=>[6,5,4,3,2,1]=>6
[6,7,1,2,3,4,5]=>[6,1,2,3,4,5]=>6
[6,7,1,2,3,5,4]=>[6,1,2,3,5,4]=>7
[6,7,1,2,4,3,5]=>[6,1,2,4,3,5]=>7
[6,7,1,2,4,5,3]=>[6,1,2,4,5,3]=>7
[6,7,1,2,5,3,4]=>[6,1,2,5,3,4]=>8
[6,7,1,2,5,4,3]=>[6,1,2,5,4,3]=>8
[6,7,1,3,2,4,5]=>[6,1,3,2,4,5]=>7
[6,7,1,3,2,5,4]=>[6,1,3,2,5,4]=>8
[6,7,1,3,4,2,5]=>[6,1,3,4,2,5]=>7
[6,7,1,3,4,5,2]=>[6,1,3,4,5,2]=>7
[6,7,1,3,5,2,4]=>[6,1,3,5,2,4]=>8
[6,7,1,3,5,4,2]=>[6,1,3,5,4,2]=>8
[6,7,1,4,2,3,5]=>[6,1,4,2,3,5]=>7
[6,7,1,4,2,5,3]=>[6,1,4,2,5,3]=>8
[6,7,1,4,3,2,5]=>[6,1,4,3,2,5]=>7
[6,7,1,4,3,5,2]=>[6,1,4,3,5,2]=>8
[6,7,1,4,5,2,3]=>[6,1,4,5,2,3]=>8
[6,7,1,4,5,3,2]=>[6,1,4,5,3,2]=>8
[6,7,1,5,2,3,4]=>[6,1,5,2,3,4]=>7
[6,7,1,5,2,4,3]=>[6,1,5,2,4,3]=>8
[6,7,1,5,3,2,4]=>[6,1,5,3,2,4]=>7
[6,7,1,5,3,4,2]=>[6,1,5,3,4,2]=>8
[6,7,1,5,4,2,3]=>[6,1,5,4,2,3]=>7
[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>7
[6,7,2,1,3,4,5]=>[6,2,1,3,4,5]=>6
[6,7,2,1,3,5,4]=>[6,2,1,3,5,4]=>7
[6,7,2,1,4,3,5]=>[6,2,1,4,3,5]=>7
[6,7,2,1,4,5,3]=>[6,2,1,4,5,3]=>7
[6,7,2,1,5,3,4]=>[6,2,1,5,3,4]=>8
[6,7,2,1,5,4,3]=>[6,2,1,5,4,3]=>8
[6,7,2,3,1,4,5]=>[6,2,3,1,4,5]=>7
[6,7,2,3,1,5,4]=>[6,2,3,1,5,4]=>8
[6,7,2,3,4,1,5]=>[6,2,3,4,1,5]=>7
[6,7,2,3,4,5,1]=>[6,2,3,4,5,1]=>7
[6,7,2,3,5,1,4]=>[6,2,3,5,1,4]=>8
[6,7,2,3,5,4,1]=>[6,2,3,5,4,1]=>8
[6,7,2,4,1,3,5]=>[6,2,4,1,3,5]=>7
[6,7,2,4,1,5,3]=>[6,2,4,1,5,3]=>8
[6,7,2,4,3,1,5]=>[6,2,4,3,1,5]=>7
[6,7,2,4,3,5,1]=>[6,2,4,3,5,1]=>8
[6,7,2,4,5,1,3]=>[6,2,4,5,1,3]=>8
[6,7,2,4,5,3,1]=>[6,2,4,5,3,1]=>8
[6,7,2,5,1,3,4]=>[6,2,5,1,3,4]=>7
[6,7,2,5,1,4,3]=>[6,2,5,1,4,3]=>8
[6,7,2,5,3,1,4]=>[6,2,5,3,1,4]=>7
[6,7,2,5,3,4,1]=>[6,2,5,3,4,1]=>8
[6,7,2,5,4,1,3]=>[6,2,5,4,1,3]=>7
[6,7,2,5,4,3,1]=>[6,2,5,4,3,1]=>7
[6,7,3,1,2,4,5]=>[6,3,1,2,4,5]=>6
[6,7,3,1,2,5,4]=>[6,3,1,2,5,4]=>7
[6,7,3,1,4,2,5]=>[6,3,1,4,2,5]=>7
[6,7,3,1,4,5,2]=>[6,3,1,4,5,2]=>7
[6,7,3,1,5,2,4]=>[6,3,1,5,2,4]=>8
[6,7,3,1,5,4,2]=>[6,3,1,5,4,2]=>8
[6,7,3,2,1,4,5]=>[6,3,2,1,4,5]=>6
[6,7,3,2,1,5,4]=>[6,3,2,1,5,4]=>7
[6,7,3,2,4,1,5]=>[6,3,2,4,1,5]=>7
[6,7,3,2,4,5,1]=>[6,3,2,4,5,1]=>7
[6,7,3,2,5,1,4]=>[6,3,2,5,1,4]=>8
[6,7,3,2,5,4,1]=>[6,3,2,5,4,1]=>8
[6,7,3,4,1,2,5]=>[6,3,4,1,2,5]=>7
[6,7,3,4,1,5,2]=>[6,3,4,1,5,2]=>8
[6,7,3,4,2,1,5]=>[6,3,4,2,1,5]=>7
[6,7,3,4,2,5,1]=>[6,3,4,2,5,1]=>8
[6,7,3,4,5,1,2]=>[6,3,4,5,1,2]=>8
[6,7,3,4,5,2,1]=>[6,3,4,5,2,1]=>8
[6,7,3,5,1,2,4]=>[6,3,5,1,2,4]=>7
[6,7,3,5,1,4,2]=>[6,3,5,1,4,2]=>8
[6,7,3,5,2,1,4]=>[6,3,5,2,1,4]=>7
[6,7,3,5,2,4,1]=>[6,3,5,2,4,1]=>8
[6,7,3,5,4,1,2]=>[6,3,5,4,1,2]=>7
[6,7,3,5,4,2,1]=>[6,3,5,4,2,1]=>7
[6,7,4,1,2,3,5]=>[6,4,1,2,3,5]=>6
[6,7,4,1,2,5,3]=>[6,4,1,2,5,3]=>7
[6,7,4,1,3,2,5]=>[6,4,1,3,2,5]=>7
[6,7,4,1,3,5,2]=>[6,4,1,3,5,2]=>7
[6,7,4,1,5,2,3]=>[6,4,1,5,2,3]=>8
[6,7,4,1,5,3,2]=>[6,4,1,5,3,2]=>8
[6,7,4,2,1,3,5]=>[6,4,2,1,3,5]=>6
[6,7,4,2,1,5,3]=>[6,4,2,1,5,3]=>7
[6,7,4,2,3,1,5]=>[6,4,2,3,1,5]=>7
[6,7,4,2,3,5,1]=>[6,4,2,3,5,1]=>7
[6,7,4,2,5,1,3]=>[6,4,2,5,1,3]=>8
[6,7,4,2,5,3,1]=>[6,4,2,5,3,1]=>8
[6,7,4,3,1,2,5]=>[6,4,3,1,2,5]=>6
[6,7,4,3,1,5,2]=>[6,4,3,1,5,2]=>7
[6,7,4,3,2,1,5]=>[6,4,3,2,1,5]=>6
[6,7,4,3,2,5,1]=>[6,4,3,2,5,1]=>7
[6,7,4,3,5,1,2]=>[6,4,3,5,1,2]=>8
[6,7,4,3,5,2,1]=>[6,4,3,5,2,1]=>8
[6,7,4,5,1,2,3]=>[6,4,5,1,2,3]=>7
[6,7,4,5,1,3,2]=>[6,4,5,1,3,2]=>8
[6,7,4,5,2,1,3]=>[6,4,5,2,1,3]=>7
[6,7,4,5,2,3,1]=>[6,4,5,2,3,1]=>8
[6,7,4,5,3,1,2]=>[6,4,5,3,1,2]=>7
[6,7,4,5,3,2,1]=>[6,4,5,3,2,1]=>7
[6,7,5,1,2,3,4]=>[6,5,1,2,3,4]=>6
[6,7,5,1,2,4,3]=>[6,5,1,2,4,3]=>7
[6,7,5,1,3,2,4]=>[6,5,1,3,2,4]=>7
[6,7,5,1,3,4,2]=>[6,5,1,3,4,2]=>7
[6,7,5,1,4,2,3]=>[6,5,1,4,2,3]=>7
[6,7,5,1,4,3,2]=>[6,5,1,4,3,2]=>7
[6,7,5,2,1,3,4]=>[6,5,2,1,3,4]=>6
[6,7,5,2,1,4,3]=>[6,5,2,1,4,3]=>7
[6,7,5,2,3,1,4]=>[6,5,2,3,1,4]=>7
[6,7,5,2,3,4,1]=>[6,5,2,3,4,1]=>7
[6,7,5,2,4,1,3]=>[6,5,2,4,1,3]=>7
[6,7,5,2,4,3,1]=>[6,5,2,4,3,1]=>7
[6,7,5,3,1,2,4]=>[6,5,3,1,2,4]=>6
[6,7,5,3,1,4,2]=>[6,5,3,1,4,2]=>7
[6,7,5,3,2,1,4]=>[6,5,3,2,1,4]=>6
[6,7,5,3,2,4,1]=>[6,5,3,2,4,1]=>7
[6,7,5,3,4,1,2]=>[6,5,3,4,1,2]=>7
[6,7,5,3,4,2,1]=>[6,5,3,4,2,1]=>7
[6,7,5,4,1,2,3]=>[6,5,4,1,2,3]=>6
[6,7,5,4,1,3,2]=>[6,5,4,1,3,2]=>7
[6,7,5,4,2,1,3]=>[6,5,4,2,1,3]=>6
[6,7,5,4,2,3,1]=>[6,5,4,2,3,1]=>7
[6,7,5,4,3,1,2]=>[6,5,4,3,1,2]=>6
[6,7,5,4,3,2,1]=>[6,5,4,3,2,1]=>6
[7,1,2,3,4,5,6]=>[1,2,3,4,5,6]=>6
[7,1,2,3,4,6,5]=>[1,2,3,4,6,5]=>7
[7,1,2,3,5,4,6]=>[1,2,3,5,4,6]=>7
[7,1,2,3,5,6,4]=>[1,2,3,5,6,4]=>7
[7,1,2,3,6,4,5]=>[1,2,3,6,4,5]=>8
[7,1,2,3,6,5,4]=>[1,2,3,6,5,4]=>8
[7,1,2,4,3,5,6]=>[1,2,4,3,5,6]=>7
[7,1,2,4,3,6,5]=>[1,2,4,3,6,5]=>8
[7,1,2,4,5,3,6]=>[1,2,4,5,3,6]=>7
[7,1,2,4,5,6,3]=>[1,2,4,5,6,3]=>7
[7,1,2,4,6,3,5]=>[1,2,4,6,3,5]=>8
[7,1,2,4,6,5,3]=>[1,2,4,6,5,3]=>8
[7,1,2,5,3,4,6]=>[1,2,5,3,4,6]=>8
[7,1,2,5,3,6,4]=>[1,2,5,3,6,4]=>8
[7,1,2,5,4,3,6]=>[1,2,5,4,3,6]=>8
[7,1,2,5,4,6,3]=>[1,2,5,4,6,3]=>8
[7,1,2,5,6,3,4]=>[1,2,5,6,3,4]=>8
[7,1,2,5,6,4,3]=>[1,2,5,6,4,3]=>8
[7,1,2,6,3,4,5]=>[1,2,6,3,4,5]=>8
[7,1,2,6,3,5,4]=>[1,2,6,3,5,4]=>9
[7,1,2,6,4,3,5]=>[1,2,6,4,3,5]=>8
[7,1,2,6,4,5,3]=>[1,2,6,4,5,3]=>9
[7,1,2,6,5,3,4]=>[1,2,6,5,3,4]=>8
[7,1,2,6,5,4,3]=>[1,2,6,5,4,3]=>8
[7,1,3,2,4,5,6]=>[1,3,2,4,5,6]=>7
[7,1,3,2,4,6,5]=>[1,3,2,4,6,5]=>8
[7,1,3,2,5,4,6]=>[1,3,2,5,4,6]=>8
[7,1,3,2,5,6,4]=>[1,3,2,5,6,4]=>8
[7,1,3,2,6,4,5]=>[1,3,2,6,4,5]=>9
[7,1,3,2,6,5,4]=>[1,3,2,6,5,4]=>9
[7,1,3,4,2,5,6]=>[1,3,4,2,5,6]=>7
[7,1,3,4,2,6,5]=>[1,3,4,2,6,5]=>8
[7,1,3,4,5,2,6]=>[1,3,4,5,2,6]=>7
[7,1,3,4,5,6,2]=>[1,3,4,5,6,2]=>7
[7,1,3,4,6,2,5]=>[1,3,4,6,2,5]=>8
[7,1,3,4,6,5,2]=>[1,3,4,6,5,2]=>8
[7,1,3,5,2,4,6]=>[1,3,5,2,4,6]=>8
[7,1,3,5,2,6,4]=>[1,3,5,2,6,4]=>8
[7,1,3,5,4,2,6]=>[1,3,5,4,2,6]=>8
[7,1,3,5,4,6,2]=>[1,3,5,4,6,2]=>8
[7,1,3,5,6,2,4]=>[1,3,5,6,2,4]=>8
[7,1,3,5,6,4,2]=>[1,3,5,6,4,2]=>8
[7,1,3,6,2,4,5]=>[1,3,6,2,4,5]=>8
[7,1,3,6,2,5,4]=>[1,3,6,2,5,4]=>9
[7,1,3,6,4,2,5]=>[1,3,6,4,2,5]=>8
[7,1,3,6,4,5,2]=>[1,3,6,4,5,2]=>9
[7,1,3,6,5,2,4]=>[1,3,6,5,2,4]=>8
[7,1,3,6,5,4,2]=>[1,3,6,5,4,2]=>8
[7,1,4,2,3,5,6]=>[1,4,2,3,5,6]=>7
[7,1,4,2,3,6,5]=>[1,4,2,3,6,5]=>8
[7,1,4,2,5,3,6]=>[1,4,2,5,3,6]=>8
[7,1,4,2,5,6,3]=>[1,4,2,5,6,3]=>8
[7,1,4,2,6,3,5]=>[1,4,2,6,3,5]=>9
[7,1,4,2,6,5,3]=>[1,4,2,6,5,3]=>9
[7,1,4,3,2,5,6]=>[1,4,3,2,5,6]=>7
[7,1,4,3,2,6,5]=>[1,4,3,2,6,5]=>8
[7,1,4,3,5,2,6]=>[1,4,3,5,2,6]=>8
[7,1,4,3,5,6,2]=>[1,4,3,5,6,2]=>8
[7,1,4,3,6,2,5]=>[1,4,3,6,2,5]=>9
[7,1,4,3,6,5,2]=>[1,4,3,6,5,2]=>9
[7,1,4,5,2,3,6]=>[1,4,5,2,3,6]=>8
[7,1,4,5,2,6,3]=>[1,4,5,2,6,3]=>8
[7,1,4,5,3,2,6]=>[1,4,5,3,2,6]=>8
[7,1,4,5,3,6,2]=>[1,4,5,3,6,2]=>8
[7,1,4,5,6,2,3]=>[1,4,5,6,2,3]=>8
[7,1,4,5,6,3,2]=>[1,4,5,6,3,2]=>8
[7,1,4,6,2,3,5]=>[1,4,6,2,3,5]=>8
[7,1,4,6,2,5,3]=>[1,4,6,2,5,3]=>9
[7,1,4,6,3,2,5]=>[1,4,6,3,2,5]=>8
[7,1,4,6,3,5,2]=>[1,4,6,3,5,2]=>9
[7,1,4,6,5,2,3]=>[1,4,6,5,2,3]=>8
[7,1,4,6,5,3,2]=>[1,4,6,5,3,2]=>8
[7,1,5,2,3,4,6]=>[1,5,2,3,4,6]=>7
[7,1,5,2,3,6,4]=>[1,5,2,3,6,4]=>8
[7,1,5,2,4,3,6]=>[1,5,2,4,3,6]=>8
[7,1,5,2,4,6,3]=>[1,5,2,4,6,3]=>8
[7,1,5,2,6,3,4]=>[1,5,2,6,3,4]=>9
[7,1,5,2,6,4,3]=>[1,5,2,6,4,3]=>9
[7,1,5,3,2,4,6]=>[1,5,3,2,4,6]=>7
[7,1,5,3,2,6,4]=>[1,5,3,2,6,4]=>8
[7,1,5,3,4,2,6]=>[1,5,3,4,2,6]=>8
[7,1,5,3,4,6,2]=>[1,5,3,4,6,2]=>8
[7,1,5,3,6,2,4]=>[1,5,3,6,2,4]=>9
[7,1,5,3,6,4,2]=>[1,5,3,6,4,2]=>9
[7,1,5,4,2,3,6]=>[1,5,4,2,3,6]=>7
[7,1,5,4,2,6,3]=>[1,5,4,2,6,3]=>8
[7,1,5,4,3,2,6]=>[1,5,4,3,2,6]=>7
[7,1,5,4,3,6,2]=>[1,5,4,3,6,2]=>8
[7,1,5,4,6,2,3]=>[1,5,4,6,2,3]=>9
[7,1,5,4,6,3,2]=>[1,5,4,6,3,2]=>9
[7,1,5,6,2,3,4]=>[1,5,6,2,3,4]=>8
[7,1,5,6,2,4,3]=>[1,5,6,2,4,3]=>9
[7,1,5,6,3,2,4]=>[1,5,6,3,2,4]=>8
[7,1,5,6,3,4,2]=>[1,5,6,3,4,2]=>9
[7,1,5,6,4,2,3]=>[1,5,6,4,2,3]=>8
[7,1,5,6,4,3,2]=>[1,5,6,4,3,2]=>8
[7,1,6,2,3,4,5]=>[1,6,2,3,4,5]=>7
[7,1,6,2,3,5,4]=>[1,6,2,3,5,4]=>8
[7,1,6,2,4,3,5]=>[1,6,2,4,3,5]=>8
[7,1,6,2,4,5,3]=>[1,6,2,4,5,3]=>8
[7,1,6,2,5,3,4]=>[1,6,2,5,3,4]=>8
[7,1,6,2,5,4,3]=>[1,6,2,5,4,3]=>8
[7,1,6,3,2,4,5]=>[1,6,3,2,4,5]=>7
[7,1,6,3,2,5,4]=>[1,6,3,2,5,4]=>8
[7,1,6,3,4,2,5]=>[1,6,3,4,2,5]=>8
[7,1,6,3,4,5,2]=>[1,6,3,4,5,2]=>8
[7,1,6,3,5,2,4]=>[1,6,3,5,2,4]=>8
[7,1,6,3,5,4,2]=>[1,6,3,5,4,2]=>8
[7,1,6,4,2,3,5]=>[1,6,4,2,3,5]=>7
[7,1,6,4,2,5,3]=>[1,6,4,2,5,3]=>8
[7,1,6,4,3,2,5]=>[1,6,4,3,2,5]=>7
[7,1,6,4,3,5,2]=>[1,6,4,3,5,2]=>8
[7,1,6,4,5,2,3]=>[1,6,4,5,2,3]=>8
[7,1,6,4,5,3,2]=>[1,6,4,5,3,2]=>8
[7,1,6,5,2,3,4]=>[1,6,5,2,3,4]=>7
[7,1,6,5,2,4,3]=>[1,6,5,2,4,3]=>8
[7,1,6,5,3,2,4]=>[1,6,5,3,2,4]=>7
[7,1,6,5,3,4,2]=>[1,6,5,3,4,2]=>8
[7,1,6,5,4,2,3]=>[1,6,5,4,2,3]=>7
[7,1,6,5,4,3,2]=>[1,6,5,4,3,2]=>7
[7,2,1,3,4,5,6]=>[2,1,3,4,5,6]=>6
[7,2,1,3,4,6,5]=>[2,1,3,4,6,5]=>7
[7,2,1,3,5,4,6]=>[2,1,3,5,4,6]=>7
[7,2,1,3,5,6,4]=>[2,1,3,5,6,4]=>7
[7,2,1,3,6,4,5]=>[2,1,3,6,4,5]=>8
[7,2,1,3,6,5,4]=>[2,1,3,6,5,4]=>8
[7,2,1,4,3,5,6]=>[2,1,4,3,5,6]=>7
[7,2,1,4,3,6,5]=>[2,1,4,3,6,5]=>8
[7,2,1,4,5,3,6]=>[2,1,4,5,3,6]=>7
[7,2,1,4,5,6,3]=>[2,1,4,5,6,3]=>7
[7,2,1,4,6,3,5]=>[2,1,4,6,3,5]=>8
[7,2,1,4,6,5,3]=>[2,1,4,6,5,3]=>8
[7,2,1,5,3,4,6]=>[2,1,5,3,4,6]=>8
[7,2,1,5,3,6,4]=>[2,1,5,3,6,4]=>8
[7,2,1,5,4,3,6]=>[2,1,5,4,3,6]=>8
[7,2,1,5,4,6,3]=>[2,1,5,4,6,3]=>8
[7,2,1,5,6,3,4]=>[2,1,5,6,3,4]=>8
[7,2,1,5,6,4,3]=>[2,1,5,6,4,3]=>8
[7,2,1,6,3,4,5]=>[2,1,6,3,4,5]=>8
[7,2,1,6,3,5,4]=>[2,1,6,3,5,4]=>9
[7,2,1,6,4,3,5]=>[2,1,6,4,3,5]=>8
[7,2,1,6,4,5,3]=>[2,1,6,4,5,3]=>9
[7,2,1,6,5,3,4]=>[2,1,6,5,3,4]=>8
[7,2,1,6,5,4,3]=>[2,1,6,5,4,3]=>8
[7,2,3,1,4,5,6]=>[2,3,1,4,5,6]=>7
[7,2,3,1,4,6,5]=>[2,3,1,4,6,5]=>8
[7,2,3,1,5,4,6]=>[2,3,1,5,4,6]=>8
[7,2,3,1,5,6,4]=>[2,3,1,5,6,4]=>8
[7,2,3,1,6,4,5]=>[2,3,1,6,4,5]=>9
[7,2,3,1,6,5,4]=>[2,3,1,6,5,4]=>9
[7,2,3,4,1,5,6]=>[2,3,4,1,5,6]=>7
[7,2,3,4,1,6,5]=>[2,3,4,1,6,5]=>8
[7,2,3,4,5,1,6]=>[2,3,4,5,1,6]=>7
[7,2,3,4,5,6,1]=>[2,3,4,5,6,1]=>7
[7,2,3,4,6,1,5]=>[2,3,4,6,1,5]=>8
[7,2,3,4,6,5,1]=>[2,3,4,6,5,1]=>8
[7,2,3,5,1,4,6]=>[2,3,5,1,4,6]=>8
[7,2,3,5,1,6,4]=>[2,3,5,1,6,4]=>8
[7,2,3,5,4,1,6]=>[2,3,5,4,1,6]=>8
[7,2,3,5,4,6,1]=>[2,3,5,4,6,1]=>8
[7,2,3,5,6,1,4]=>[2,3,5,6,1,4]=>8
[7,2,3,5,6,4,1]=>[2,3,5,6,4,1]=>8
[7,2,3,6,1,4,5]=>[2,3,6,1,4,5]=>8
[7,2,3,6,1,5,4]=>[2,3,6,1,5,4]=>9
[7,2,3,6,4,1,5]=>[2,3,6,4,1,5]=>8
[7,2,3,6,4,5,1]=>[2,3,6,4,5,1]=>9
[7,2,3,6,5,1,4]=>[2,3,6,5,1,4]=>8
[7,2,3,6,5,4,1]=>[2,3,6,5,4,1]=>8
[7,2,4,1,3,5,6]=>[2,4,1,3,5,6]=>7
[7,2,4,1,3,6,5]=>[2,4,1,3,6,5]=>8
[7,2,4,1,5,3,6]=>[2,4,1,5,3,6]=>8
[7,2,4,1,5,6,3]=>[2,4,1,5,6,3]=>8
[7,2,4,1,6,3,5]=>[2,4,1,6,3,5]=>9
[7,2,4,1,6,5,3]=>[2,4,1,6,5,3]=>9
[7,2,4,3,1,5,6]=>[2,4,3,1,5,6]=>7
[7,2,4,3,1,6,5]=>[2,4,3,1,6,5]=>8
[7,2,4,3,5,1,6]=>[2,4,3,5,1,6]=>8
[7,2,4,3,5,6,1]=>[2,4,3,5,6,1]=>8
[7,2,4,3,6,1,5]=>[2,4,3,6,1,5]=>9
[7,2,4,3,6,5,1]=>[2,4,3,6,5,1]=>9
[7,2,4,5,1,3,6]=>[2,4,5,1,3,6]=>8
[7,2,4,5,1,6,3]=>[2,4,5,1,6,3]=>8
[7,2,4,5,3,1,6]=>[2,4,5,3,1,6]=>8
[7,2,4,5,3,6,1]=>[2,4,5,3,6,1]=>8
[7,2,4,5,6,1,3]=>[2,4,5,6,1,3]=>8
[7,2,4,5,6,3,1]=>[2,4,5,6,3,1]=>8
[7,2,4,6,1,3,5]=>[2,4,6,1,3,5]=>8
[7,2,4,6,1,5,3]=>[2,4,6,1,5,3]=>9
[7,2,4,6,3,1,5]=>[2,4,6,3,1,5]=>8
[7,2,4,6,3,5,1]=>[2,4,6,3,5,1]=>9
[7,2,4,6,5,1,3]=>[2,4,6,5,1,3]=>8
[7,2,4,6,5,3,1]=>[2,4,6,5,3,1]=>8
[7,2,5,1,3,4,6]=>[2,5,1,3,4,6]=>7
[7,2,5,1,3,6,4]=>[2,5,1,3,6,4]=>8
[7,2,5,1,4,3,6]=>[2,5,1,4,3,6]=>8
[7,2,5,1,4,6,3]=>[2,5,1,4,6,3]=>8
[7,2,5,1,6,3,4]=>[2,5,1,6,3,4]=>9
[7,2,5,1,6,4,3]=>[2,5,1,6,4,3]=>9
[7,2,5,3,1,4,6]=>[2,5,3,1,4,6]=>7
[7,2,5,3,1,6,4]=>[2,5,3,1,6,4]=>8
[7,2,5,3,4,1,6]=>[2,5,3,4,1,6]=>8
[7,2,5,3,4,6,1]=>[2,5,3,4,6,1]=>8
[7,2,5,3,6,1,4]=>[2,5,3,6,1,4]=>9
[7,2,5,3,6,4,1]=>[2,5,3,6,4,1]=>9
[7,2,5,4,1,3,6]=>[2,5,4,1,3,6]=>7
[7,2,5,4,1,6,3]=>[2,5,4,1,6,3]=>8
[7,2,5,4,3,1,6]=>[2,5,4,3,1,6]=>7
[7,2,5,4,3,6,1]=>[2,5,4,3,6,1]=>8
[7,2,5,4,6,1,3]=>[2,5,4,6,1,3]=>9
[7,2,5,4,6,3,1]=>[2,5,4,6,3,1]=>9
[7,2,5,6,1,3,4]=>[2,5,6,1,3,4]=>8
[7,2,5,6,1,4,3]=>[2,5,6,1,4,3]=>9
[7,2,5,6,3,1,4]=>[2,5,6,3,1,4]=>8
[7,2,5,6,3,4,1]=>[2,5,6,3,4,1]=>9
[7,2,5,6,4,1,3]=>[2,5,6,4,1,3]=>8
[7,2,5,6,4,3,1]=>[2,5,6,4,3,1]=>8
[7,2,6,1,3,4,5]=>[2,6,1,3,4,5]=>7
[7,2,6,1,3,5,4]=>[2,6,1,3,5,4]=>8
[7,2,6,1,4,3,5]=>[2,6,1,4,3,5]=>8
[7,2,6,1,4,5,3]=>[2,6,1,4,5,3]=>8
[7,2,6,1,5,3,4]=>[2,6,1,5,3,4]=>8
[7,2,6,1,5,4,3]=>[2,6,1,5,4,3]=>8
[7,2,6,3,1,4,5]=>[2,6,3,1,4,5]=>7
[7,2,6,3,1,5,4]=>[2,6,3,1,5,4]=>8
[7,2,6,3,4,1,5]=>[2,6,3,4,1,5]=>8
[7,2,6,3,4,5,1]=>[2,6,3,4,5,1]=>8
[7,2,6,3,5,1,4]=>[2,6,3,5,1,4]=>8
[7,2,6,3,5,4,1]=>[2,6,3,5,4,1]=>8
[7,2,6,4,1,3,5]=>[2,6,4,1,3,5]=>7
[7,2,6,4,1,5,3]=>[2,6,4,1,5,3]=>8
[7,2,6,4,3,1,5]=>[2,6,4,3,1,5]=>7
[7,2,6,4,3,5,1]=>[2,6,4,3,5,1]=>8
[7,2,6,4,5,1,3]=>[2,6,4,5,1,3]=>8
[7,2,6,4,5,3,1]=>[2,6,4,5,3,1]=>8
[7,2,6,5,1,3,4]=>[2,6,5,1,3,4]=>7
[7,2,6,5,1,4,3]=>[2,6,5,1,4,3]=>8
[7,2,6,5,3,1,4]=>[2,6,5,3,1,4]=>7
[7,2,6,5,3,4,1]=>[2,6,5,3,4,1]=>8
[7,2,6,5,4,1,3]=>[2,6,5,4,1,3]=>7
[7,2,6,5,4,3,1]=>[2,6,5,4,3,1]=>7
[7,3,1,2,4,5,6]=>[3,1,2,4,5,6]=>6
[7,3,1,2,4,6,5]=>[3,1,2,4,6,5]=>7
[7,3,1,2,5,4,6]=>[3,1,2,5,4,6]=>7
[7,3,1,2,5,6,4]=>[3,1,2,5,6,4]=>7
[7,3,1,2,6,4,5]=>[3,1,2,6,4,5]=>8
[7,3,1,2,6,5,4]=>[3,1,2,6,5,4]=>8
[7,3,1,4,2,5,6]=>[3,1,4,2,5,6]=>7
[7,3,1,4,2,6,5]=>[3,1,4,2,6,5]=>8
[7,3,1,4,5,2,6]=>[3,1,4,5,2,6]=>7
[7,3,1,4,5,6,2]=>[3,1,4,5,6,2]=>7
[7,3,1,4,6,2,5]=>[3,1,4,6,2,5]=>8
[7,3,1,4,6,5,2]=>[3,1,4,6,5,2]=>8
[7,3,1,5,2,4,6]=>[3,1,5,2,4,6]=>8
[7,3,1,5,2,6,4]=>[3,1,5,2,6,4]=>8
[7,3,1,5,4,2,6]=>[3,1,5,4,2,6]=>8
[7,3,1,5,4,6,2]=>[3,1,5,4,6,2]=>8
[7,3,1,5,6,2,4]=>[3,1,5,6,2,4]=>8
[7,3,1,5,6,4,2]=>[3,1,5,6,4,2]=>8
[7,3,1,6,2,4,5]=>[3,1,6,2,4,5]=>8
[7,3,1,6,2,5,4]=>[3,1,6,2,5,4]=>9
[7,3,1,6,4,2,5]=>[3,1,6,4,2,5]=>8
[7,3,1,6,4,5,2]=>[3,1,6,4,5,2]=>9
[7,3,1,6,5,2,4]=>[3,1,6,5,2,4]=>8
[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>8
[7,3,2,1,4,5,6]=>[3,2,1,4,5,6]=>6
[7,3,2,1,4,6,5]=>[3,2,1,4,6,5]=>7
[7,3,2,1,5,4,6]=>[3,2,1,5,4,6]=>7
[7,3,2,1,5,6,4]=>[3,2,1,5,6,4]=>7
[7,3,2,1,6,4,5]=>[3,2,1,6,4,5]=>8
[7,3,2,1,6,5,4]=>[3,2,1,6,5,4]=>8
[7,3,2,4,1,5,6]=>[3,2,4,1,5,6]=>7
[7,3,2,4,1,6,5]=>[3,2,4,1,6,5]=>8
[7,3,2,4,5,1,6]=>[3,2,4,5,1,6]=>7
[7,3,2,4,5,6,1]=>[3,2,4,5,6,1]=>7
[7,3,2,4,6,1,5]=>[3,2,4,6,1,5]=>8
[7,3,2,4,6,5,1]=>[3,2,4,6,5,1]=>8
[7,3,2,5,1,4,6]=>[3,2,5,1,4,6]=>8
[7,3,2,5,1,6,4]=>[3,2,5,1,6,4]=>8
[7,3,2,5,4,1,6]=>[3,2,5,4,1,6]=>8
[7,3,2,5,4,6,1]=>[3,2,5,4,6,1]=>8
[7,3,2,5,6,1,4]=>[3,2,5,6,1,4]=>8
[7,3,2,5,6,4,1]=>[3,2,5,6,4,1]=>8
[7,3,2,6,1,4,5]=>[3,2,6,1,4,5]=>8
[7,3,2,6,1,5,4]=>[3,2,6,1,5,4]=>9
[7,3,2,6,4,1,5]=>[3,2,6,4,1,5]=>8
[7,3,2,6,4,5,1]=>[3,2,6,4,5,1]=>9
[7,3,2,6,5,1,4]=>[3,2,6,5,1,4]=>8
[7,3,2,6,5,4,1]=>[3,2,6,5,4,1]=>8
[7,3,4,1,2,5,6]=>[3,4,1,2,5,6]=>7
[7,3,4,1,2,6,5]=>[3,4,1,2,6,5]=>8
[7,3,4,1,5,2,6]=>[3,4,1,5,2,6]=>8
[7,3,4,1,5,6,2]=>[3,4,1,5,6,2]=>8
[7,3,4,1,6,2,5]=>[3,4,1,6,2,5]=>9
[7,3,4,1,6,5,2]=>[3,4,1,6,5,2]=>9
[7,3,4,2,1,5,6]=>[3,4,2,1,5,6]=>7
[7,3,4,2,1,6,5]=>[3,4,2,1,6,5]=>8
[7,3,4,2,5,1,6]=>[3,4,2,5,1,6]=>8
[7,3,4,2,5,6,1]=>[3,4,2,5,6,1]=>8
[7,3,4,2,6,1,5]=>[3,4,2,6,1,5]=>9
[7,3,4,2,6,5,1]=>[3,4,2,6,5,1]=>9
[7,3,4,5,1,2,6]=>[3,4,5,1,2,6]=>8
[7,3,4,5,1,6,2]=>[3,4,5,1,6,2]=>8
[7,3,4,5,2,1,6]=>[3,4,5,2,1,6]=>8
[7,3,4,5,2,6,1]=>[3,4,5,2,6,1]=>8
[7,3,4,5,6,1,2]=>[3,4,5,6,1,2]=>8
[7,3,4,5,6,2,1]=>[3,4,5,6,2,1]=>8
[7,3,4,6,1,2,5]=>[3,4,6,1,2,5]=>8
[7,3,4,6,1,5,2]=>[3,4,6,1,5,2]=>9
[7,3,4,6,2,1,5]=>[3,4,6,2,1,5]=>8
[7,3,4,6,2,5,1]=>[3,4,6,2,5,1]=>9
[7,3,4,6,5,1,2]=>[3,4,6,5,1,2]=>8
[7,3,4,6,5,2,1]=>[3,4,6,5,2,1]=>8
[7,3,5,1,2,4,6]=>[3,5,1,2,4,6]=>7
[7,3,5,1,2,6,4]=>[3,5,1,2,6,4]=>8
[7,3,5,1,4,2,6]=>[3,5,1,4,2,6]=>8
[7,3,5,1,4,6,2]=>[3,5,1,4,6,2]=>8
[7,3,5,1,6,2,4]=>[3,5,1,6,2,4]=>9
[7,3,5,1,6,4,2]=>[3,5,1,6,4,2]=>9
[7,3,5,2,1,4,6]=>[3,5,2,1,4,6]=>7
[7,3,5,2,1,6,4]=>[3,5,2,1,6,4]=>8
[7,3,5,2,4,1,6]=>[3,5,2,4,1,6]=>8
[7,3,5,2,4,6,1]=>[3,5,2,4,6,1]=>8
[7,3,5,2,6,1,4]=>[3,5,2,6,1,4]=>9
[7,3,5,2,6,4,1]=>[3,5,2,6,4,1]=>9
[7,3,5,4,1,2,6]=>[3,5,4,1,2,6]=>7
[7,3,5,4,1,6,2]=>[3,5,4,1,6,2]=>8
[7,3,5,4,2,1,6]=>[3,5,4,2,1,6]=>7
[7,3,5,4,2,6,1]=>[3,5,4,2,6,1]=>8
[7,3,5,4,6,1,2]=>[3,5,4,6,1,2]=>9
[7,3,5,4,6,2,1]=>[3,5,4,6,2,1]=>9
[7,3,5,6,1,2,4]=>[3,5,6,1,2,4]=>8
[7,3,5,6,1,4,2]=>[3,5,6,1,4,2]=>9
[7,3,5,6,2,1,4]=>[3,5,6,2,1,4]=>8
[7,3,5,6,2,4,1]=>[3,5,6,2,4,1]=>9
[7,3,5,6,4,1,2]=>[3,5,6,4,1,2]=>8
[7,3,5,6,4,2,1]=>[3,5,6,4,2,1]=>8
[7,3,6,1,2,4,5]=>[3,6,1,2,4,5]=>7
[7,3,6,1,2,5,4]=>[3,6,1,2,5,4]=>8
[7,3,6,1,4,2,5]=>[3,6,1,4,2,5]=>8
[7,3,6,1,4,5,2]=>[3,6,1,4,5,2]=>8
[7,3,6,1,5,2,4]=>[3,6,1,5,2,4]=>8
[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>8
[7,3,6,2,1,4,5]=>[3,6,2,1,4,5]=>7
[7,3,6,2,1,5,4]=>[3,6,2,1,5,4]=>8
[7,3,6,2,4,1,5]=>[3,6,2,4,1,5]=>8
[7,3,6,2,4,5,1]=>[3,6,2,4,5,1]=>8
[7,3,6,2,5,1,4]=>[3,6,2,5,1,4]=>8
[7,3,6,2,5,4,1]=>[3,6,2,5,4,1]=>8
[7,3,6,4,1,2,5]=>[3,6,4,1,2,5]=>7
[7,3,6,4,1,5,2]=>[3,6,4,1,5,2]=>8
[7,3,6,4,2,1,5]=>[3,6,4,2,1,5]=>7
[7,3,6,4,2,5,1]=>[3,6,4,2,5,1]=>8
[7,3,6,4,5,1,2]=>[3,6,4,5,1,2]=>8
[7,3,6,4,5,2,1]=>[3,6,4,5,2,1]=>8
[7,3,6,5,1,2,4]=>[3,6,5,1,2,4]=>7
[7,3,6,5,1,4,2]=>[3,6,5,1,4,2]=>8
[7,3,6,5,2,1,4]=>[3,6,5,2,1,4]=>7
[7,3,6,5,2,4,1]=>[3,6,5,2,4,1]=>8
[7,3,6,5,4,1,2]=>[3,6,5,4,1,2]=>7
[7,3,6,5,4,2,1]=>[3,6,5,4,2,1]=>7
[7,4,1,2,3,5,6]=>[4,1,2,3,5,6]=>6
[7,4,1,2,3,6,5]=>[4,1,2,3,6,5]=>7
[7,4,1,2,5,3,6]=>[4,1,2,5,3,6]=>7
[7,4,1,2,5,6,3]=>[4,1,2,5,6,3]=>7
[7,4,1,2,6,3,5]=>[4,1,2,6,3,5]=>8
[7,4,1,2,6,5,3]=>[4,1,2,6,5,3]=>8
[7,4,1,3,2,5,6]=>[4,1,3,2,5,6]=>7
[7,4,1,3,2,6,5]=>[4,1,3,2,6,5]=>8
[7,4,1,3,5,2,6]=>[4,1,3,5,2,6]=>7
[7,4,1,3,5,6,2]=>[4,1,3,5,6,2]=>7
[7,4,1,3,6,2,5]=>[4,1,3,6,2,5]=>8
[7,4,1,3,6,5,2]=>[4,1,3,6,5,2]=>8
[7,4,1,5,2,3,6]=>[4,1,5,2,3,6]=>8
[7,4,1,5,2,6,3]=>[4,1,5,2,6,3]=>8
[7,4,1,5,3,2,6]=>[4,1,5,3,2,6]=>8
[7,4,1,5,3,6,2]=>[4,1,5,3,6,2]=>8
[7,4,1,5,6,2,3]=>[4,1,5,6,2,3]=>8
[7,4,1,5,6,3,2]=>[4,1,5,6,3,2]=>8
[7,4,1,6,2,3,5]=>[4,1,6,2,3,5]=>8
[7,4,1,6,2,5,3]=>[4,1,6,2,5,3]=>9
[7,4,1,6,3,2,5]=>[4,1,6,3,2,5]=>8
[7,4,1,6,3,5,2]=>[4,1,6,3,5,2]=>9
[7,4,1,6,5,2,3]=>[4,1,6,5,2,3]=>8
[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>8
[7,4,2,1,3,5,6]=>[4,2,1,3,5,6]=>6
[7,4,2,1,3,6,5]=>[4,2,1,3,6,5]=>7
[7,4,2,1,5,3,6]=>[4,2,1,5,3,6]=>7
[7,4,2,1,5,6,3]=>[4,2,1,5,6,3]=>7
[7,4,2,1,6,3,5]=>[4,2,1,6,3,5]=>8
[7,4,2,1,6,5,3]=>[4,2,1,6,5,3]=>8
[7,4,2,3,1,5,6]=>[4,2,3,1,5,6]=>7
[7,4,2,3,1,6,5]=>[4,2,3,1,6,5]=>8
[7,4,2,3,5,1,6]=>[4,2,3,5,1,6]=>7
[7,4,2,3,5,6,1]=>[4,2,3,5,6,1]=>7
[7,4,2,3,6,1,5]=>[4,2,3,6,1,5]=>8
[7,4,2,3,6,5,1]=>[4,2,3,6,5,1]=>8
[7,4,2,5,1,3,6]=>[4,2,5,1,3,6]=>8
[7,4,2,5,1,6,3]=>[4,2,5,1,6,3]=>8
[7,4,2,5,3,1,6]=>[4,2,5,3,1,6]=>8
[7,4,2,5,3,6,1]=>[4,2,5,3,6,1]=>8
[7,4,2,5,6,1,3]=>[4,2,5,6,1,3]=>8
[7,4,2,5,6,3,1]=>[4,2,5,6,3,1]=>8
[7,4,2,6,1,3,5]=>[4,2,6,1,3,5]=>8
[7,4,2,6,1,5,3]=>[4,2,6,1,5,3]=>9
[7,4,2,6,3,1,5]=>[4,2,6,3,1,5]=>8
[7,4,2,6,3,5,1]=>[4,2,6,3,5,1]=>9
[7,4,2,6,5,1,3]=>[4,2,6,5,1,3]=>8
[7,4,2,6,5,3,1]=>[4,2,6,5,3,1]=>8
[7,4,3,1,2,5,6]=>[4,3,1,2,5,6]=>6
[7,4,3,1,2,6,5]=>[4,3,1,2,6,5]=>7
[7,4,3,1,5,2,6]=>[4,3,1,5,2,6]=>7
[7,4,3,1,5,6,2]=>[4,3,1,5,6,2]=>7
[7,4,3,1,6,2,5]=>[4,3,1,6,2,5]=>8
[7,4,3,1,6,5,2]=>[4,3,1,6,5,2]=>8
[7,4,3,2,1,5,6]=>[4,3,2,1,5,6]=>6
[7,4,3,2,1,6,5]=>[4,3,2,1,6,5]=>7
[7,4,3,2,5,1,6]=>[4,3,2,5,1,6]=>7
[7,4,3,2,5,6,1]=>[4,3,2,5,6,1]=>7
[7,4,3,2,6,1,5]=>[4,3,2,6,1,5]=>8
[7,4,3,2,6,5,1]=>[4,3,2,6,5,1]=>8
[7,4,3,5,1,2,6]=>[4,3,5,1,2,6]=>8
[7,4,3,5,1,6,2]=>[4,3,5,1,6,2]=>8
[7,4,3,5,2,1,6]=>[4,3,5,2,1,6]=>8
[7,4,3,5,2,6,1]=>[4,3,5,2,6,1]=>8
[7,4,3,5,6,1,2]=>[4,3,5,6,1,2]=>8
[7,4,3,5,6,2,1]=>[4,3,5,6,2,1]=>8
[7,4,3,6,1,2,5]=>[4,3,6,1,2,5]=>8
[7,4,3,6,1,5,2]=>[4,3,6,1,5,2]=>9
[7,4,3,6,2,1,5]=>[4,3,6,2,1,5]=>8
[7,4,3,6,2,5,1]=>[4,3,6,2,5,1]=>9
[7,4,3,6,5,1,2]=>[4,3,6,5,1,2]=>8
[7,4,3,6,5,2,1]=>[4,3,6,5,2,1]=>8
[7,4,5,1,2,3,6]=>[4,5,1,2,3,6]=>7
[7,4,5,1,2,6,3]=>[4,5,1,2,6,3]=>8
[7,4,5,1,3,2,6]=>[4,5,1,3,2,6]=>8
[7,4,5,1,3,6,2]=>[4,5,1,3,6,2]=>8
[7,4,5,1,6,2,3]=>[4,5,1,6,2,3]=>9
[7,4,5,1,6,3,2]=>[4,5,1,6,3,2]=>9
[7,4,5,2,1,3,6]=>[4,5,2,1,3,6]=>7
[7,4,5,2,1,6,3]=>[4,5,2,1,6,3]=>8
[7,4,5,2,3,1,6]=>[4,5,2,3,1,6]=>8
[7,4,5,2,3,6,1]=>[4,5,2,3,6,1]=>8
[7,4,5,2,6,1,3]=>[4,5,2,6,1,3]=>9
[7,4,5,2,6,3,1]=>[4,5,2,6,3,1]=>9
[7,4,5,3,1,2,6]=>[4,5,3,1,2,6]=>7
[7,4,5,3,1,6,2]=>[4,5,3,1,6,2]=>8
[7,4,5,3,2,1,6]=>[4,5,3,2,1,6]=>7
[7,4,5,3,2,6,1]=>[4,5,3,2,6,1]=>8
[7,4,5,3,6,1,2]=>[4,5,3,6,1,2]=>9
[7,4,5,3,6,2,1]=>[4,5,3,6,2,1]=>9
[7,4,5,6,1,2,3]=>[4,5,6,1,2,3]=>8
[7,4,5,6,1,3,2]=>[4,5,6,1,3,2]=>9
[7,4,5,6,2,1,3]=>[4,5,6,2,1,3]=>8
[7,4,5,6,2,3,1]=>[4,5,6,2,3,1]=>9
[7,4,5,6,3,1,2]=>[4,5,6,3,1,2]=>8
[7,4,5,6,3,2,1]=>[4,5,6,3,2,1]=>8
[7,4,6,1,2,3,5]=>[4,6,1,2,3,5]=>7
[7,4,6,1,2,5,3]=>[4,6,1,2,5,3]=>8
[7,4,6,1,3,2,5]=>[4,6,1,3,2,5]=>8
[7,4,6,1,3,5,2]=>[4,6,1,3,5,2]=>8
[7,4,6,1,5,2,3]=>[4,6,1,5,2,3]=>8
[7,4,6,1,5,3,2]=>[4,6,1,5,3,2]=>8
[7,4,6,2,1,3,5]=>[4,6,2,1,3,5]=>7
[7,4,6,2,1,5,3]=>[4,6,2,1,5,3]=>8
[7,4,6,2,3,1,5]=>[4,6,2,3,1,5]=>8
[7,4,6,2,3,5,1]=>[4,6,2,3,5,1]=>8
[7,4,6,2,5,1,3]=>[4,6,2,5,1,3]=>8
[7,4,6,2,5,3,1]=>[4,6,2,5,3,1]=>8
[7,4,6,3,1,2,5]=>[4,6,3,1,2,5]=>7
[7,4,6,3,1,5,2]=>[4,6,3,1,5,2]=>8
[7,4,6,3,2,1,5]=>[4,6,3,2,1,5]=>7
[7,4,6,3,2,5,1]=>[4,6,3,2,5,1]=>8
[7,4,6,3,5,1,2]=>[4,6,3,5,1,2]=>8
[7,4,6,3,5,2,1]=>[4,6,3,5,2,1]=>8
[7,4,6,5,1,2,3]=>[4,6,5,1,2,3]=>7
[7,4,6,5,1,3,2]=>[4,6,5,1,3,2]=>8
[7,4,6,5,2,1,3]=>[4,6,5,2,1,3]=>7
[7,4,6,5,2,3,1]=>[4,6,5,2,3,1]=>8
[7,4,6,5,3,1,2]=>[4,6,5,3,1,2]=>7
[7,4,6,5,3,2,1]=>[4,6,5,3,2,1]=>7
[7,5,1,2,3,4,6]=>[5,1,2,3,4,6]=>6
[7,5,1,2,3,6,4]=>[5,1,2,3,6,4]=>7
[7,5,1,2,4,3,6]=>[5,1,2,4,3,6]=>7
[7,5,1,2,4,6,3]=>[5,1,2,4,6,3]=>7
[7,5,1,2,6,3,4]=>[5,1,2,6,3,4]=>8
[7,5,1,2,6,4,3]=>[5,1,2,6,4,3]=>8
[7,5,1,3,2,4,6]=>[5,1,3,2,4,6]=>7
[7,5,1,3,2,6,4]=>[5,1,3,2,6,4]=>8
[7,5,1,3,4,2,6]=>[5,1,3,4,2,6]=>7
[7,5,1,3,4,6,2]=>[5,1,3,4,6,2]=>7
[7,5,1,3,6,2,4]=>[5,1,3,6,2,4]=>8
[7,5,1,3,6,4,2]=>[5,1,3,6,4,2]=>8
[7,5,1,4,2,3,6]=>[5,1,4,2,3,6]=>7
[7,5,1,4,2,6,3]=>[5,1,4,2,6,3]=>8
[7,5,1,4,3,2,6]=>[5,1,4,3,2,6]=>7
[7,5,1,4,3,6,2]=>[5,1,4,3,6,2]=>8
[7,5,1,4,6,2,3]=>[5,1,4,6,2,3]=>8
[7,5,1,4,6,3,2]=>[5,1,4,6,3,2]=>8
[7,5,1,6,2,3,4]=>[5,1,6,2,3,4]=>8
[7,5,1,6,2,4,3]=>[5,1,6,2,4,3]=>9
[7,5,1,6,3,2,4]=>[5,1,6,3,2,4]=>8
[7,5,1,6,3,4,2]=>[5,1,6,3,4,2]=>9
[7,5,1,6,4,2,3]=>[5,1,6,4,2,3]=>8
[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>8
[7,5,2,1,3,4,6]=>[5,2,1,3,4,6]=>6
[7,5,2,1,3,6,4]=>[5,2,1,3,6,4]=>7
[7,5,2,1,4,3,6]=>[5,2,1,4,3,6]=>7
[7,5,2,1,4,6,3]=>[5,2,1,4,6,3]=>7
[7,5,2,1,6,3,4]=>[5,2,1,6,3,4]=>8
[7,5,2,1,6,4,3]=>[5,2,1,6,4,3]=>8
[7,5,2,3,1,4,6]=>[5,2,3,1,4,6]=>7
[7,5,2,3,1,6,4]=>[5,2,3,1,6,4]=>8
[7,5,2,3,4,1,6]=>[5,2,3,4,1,6]=>7
[7,5,2,3,4,6,1]=>[5,2,3,4,6,1]=>7
[7,5,2,3,6,1,4]=>[5,2,3,6,1,4]=>8
[7,5,2,3,6,4,1]=>[5,2,3,6,4,1]=>8
[7,5,2,4,1,3,6]=>[5,2,4,1,3,6]=>7
[7,5,2,4,1,6,3]=>[5,2,4,1,6,3]=>8
[7,5,2,4,3,1,6]=>[5,2,4,3,1,6]=>7
[7,5,2,4,3,6,1]=>[5,2,4,3,6,1]=>8
[7,5,2,4,6,1,3]=>[5,2,4,6,1,3]=>8
[7,5,2,4,6,3,1]=>[5,2,4,6,3,1]=>8
[7,5,2,6,1,3,4]=>[5,2,6,1,3,4]=>8
[7,5,2,6,1,4,3]=>[5,2,6,1,4,3]=>9
[7,5,2,6,3,1,4]=>[5,2,6,3,1,4]=>8
[7,5,2,6,3,4,1]=>[5,2,6,3,4,1]=>9
[7,5,2,6,4,1,3]=>[5,2,6,4,1,3]=>8
[7,5,2,6,4,3,1]=>[5,2,6,4,3,1]=>8
[7,5,3,1,2,4,6]=>[5,3,1,2,4,6]=>6
[7,5,3,1,2,6,4]=>[5,3,1,2,6,4]=>7
[7,5,3,1,4,2,6]=>[5,3,1,4,2,6]=>7
[7,5,3,1,4,6,2]=>[5,3,1,4,6,2]=>7
[7,5,3,1,6,2,4]=>[5,3,1,6,2,4]=>8
[7,5,3,1,6,4,2]=>[5,3,1,6,4,2]=>8
[7,5,3,2,1,4,6]=>[5,3,2,1,4,6]=>6
[7,5,3,2,1,6,4]=>[5,3,2,1,6,4]=>7
[7,5,3,2,4,1,6]=>[5,3,2,4,1,6]=>7
[7,5,3,2,4,6,1]=>[5,3,2,4,6,1]=>7
[7,5,3,2,6,1,4]=>[5,3,2,6,1,4]=>8
[7,5,3,2,6,4,1]=>[5,3,2,6,4,1]=>8
[7,5,3,4,1,2,6]=>[5,3,4,1,2,6]=>7
[7,5,3,4,1,6,2]=>[5,3,4,1,6,2]=>8
[7,5,3,4,2,1,6]=>[5,3,4,2,1,6]=>7
[7,5,3,4,2,6,1]=>[5,3,4,2,6,1]=>8
[7,5,3,4,6,1,2]=>[5,3,4,6,1,2]=>8
[7,5,3,4,6,2,1]=>[5,3,4,6,2,1]=>8
[7,5,3,6,1,2,4]=>[5,3,6,1,2,4]=>8
[7,5,3,6,1,4,2]=>[5,3,6,1,4,2]=>9
[7,5,3,6,2,1,4]=>[5,3,6,2,1,4]=>8
[7,5,3,6,2,4,1]=>[5,3,6,2,4,1]=>9
[7,5,3,6,4,1,2]=>[5,3,6,4,1,2]=>8
[7,5,3,6,4,2,1]=>[5,3,6,4,2,1]=>8
[7,5,4,1,2,3,6]=>[5,4,1,2,3,6]=>6
[7,5,4,1,2,6,3]=>[5,4,1,2,6,3]=>7
[7,5,4,1,3,2,6]=>[5,4,1,3,2,6]=>7
[7,5,4,1,3,6,2]=>[5,4,1,3,6,2]=>7
[7,5,4,1,6,2,3]=>[5,4,1,6,2,3]=>8
[7,5,4,1,6,3,2]=>[5,4,1,6,3,2]=>8
[7,5,4,2,1,3,6]=>[5,4,2,1,3,6]=>6
[7,5,4,2,1,6,3]=>[5,4,2,1,6,3]=>7
[7,5,4,2,3,1,6]=>[5,4,2,3,1,6]=>7
[7,5,4,2,3,6,1]=>[5,4,2,3,6,1]=>7
[7,5,4,2,6,1,3]=>[5,4,2,6,1,3]=>8
[7,5,4,2,6,3,1]=>[5,4,2,6,3,1]=>8
[7,5,4,3,1,2,6]=>[5,4,3,1,2,6]=>6
[7,5,4,3,1,6,2]=>[5,4,3,1,6,2]=>7
[7,5,4,3,2,1,6]=>[5,4,3,2,1,6]=>6
[7,5,4,3,2,6,1]=>[5,4,3,2,6,1]=>7
[7,5,4,3,6,1,2]=>[5,4,3,6,1,2]=>8
[7,5,4,3,6,2,1]=>[5,4,3,6,2,1]=>8
[7,5,4,6,1,2,3]=>[5,4,6,1,2,3]=>8
[7,5,4,6,1,3,2]=>[5,4,6,1,3,2]=>9
[7,5,4,6,2,1,3]=>[5,4,6,2,1,3]=>8
[7,5,4,6,2,3,1]=>[5,4,6,2,3,1]=>9
[7,5,4,6,3,1,2]=>[5,4,6,3,1,2]=>8
[7,5,4,6,3,2,1]=>[5,4,6,3,2,1]=>8
[7,5,6,1,2,3,4]=>[5,6,1,2,3,4]=>7
[7,5,6,1,2,4,3]=>[5,6,1,2,4,3]=>8
[7,5,6,1,3,2,4]=>[5,6,1,3,2,4]=>8
[7,5,6,1,3,4,2]=>[5,6,1,3,4,2]=>8
[7,5,6,1,4,2,3]=>[5,6,1,4,2,3]=>8
[7,5,6,1,4,3,2]=>[5,6,1,4,3,2]=>8
[7,5,6,2,1,3,4]=>[5,6,2,1,3,4]=>7
[7,5,6,2,1,4,3]=>[5,6,2,1,4,3]=>8
[7,5,6,2,3,1,4]=>[5,6,2,3,1,4]=>8
[7,5,6,2,3,4,1]=>[5,6,2,3,4,1]=>8
[7,5,6,2,4,1,3]=>[5,6,2,4,1,3]=>8
[7,5,6,2,4,3,1]=>[5,6,2,4,3,1]=>8
[7,5,6,3,1,2,4]=>[5,6,3,1,2,4]=>7
[7,5,6,3,1,4,2]=>[5,6,3,1,4,2]=>8
[7,5,6,3,2,1,4]=>[5,6,3,2,1,4]=>7
[7,5,6,3,2,4,1]=>[5,6,3,2,4,1]=>8
[7,5,6,3,4,1,2]=>[5,6,3,4,1,2]=>8
[7,5,6,3,4,2,1]=>[5,6,3,4,2,1]=>8
[7,5,6,4,1,2,3]=>[5,6,4,1,2,3]=>7
[7,5,6,4,1,3,2]=>[5,6,4,1,3,2]=>8
[7,5,6,4,2,1,3]=>[5,6,4,2,1,3]=>7
[7,5,6,4,2,3,1]=>[5,6,4,2,3,1]=>8
[7,5,6,4,3,1,2]=>[5,6,4,3,1,2]=>7
[7,5,6,4,3,2,1]=>[5,6,4,3,2,1]=>7
[7,6,1,2,3,4,5]=>[6,1,2,3,4,5]=>6
[7,6,1,2,3,5,4]=>[6,1,2,3,5,4]=>7
[7,6,1,2,4,3,5]=>[6,1,2,4,3,5]=>7
[7,6,1,2,4,5,3]=>[6,1,2,4,5,3]=>7
[7,6,1,2,5,3,4]=>[6,1,2,5,3,4]=>8
[7,6,1,2,5,4,3]=>[6,1,2,5,4,3]=>8
[7,6,1,3,2,4,5]=>[6,1,3,2,4,5]=>7
[7,6,1,3,2,5,4]=>[6,1,3,2,5,4]=>8
[7,6,1,3,4,2,5]=>[6,1,3,4,2,5]=>7
[7,6,1,3,4,5,2]=>[6,1,3,4,5,2]=>7
[7,6,1,3,5,2,4]=>[6,1,3,5,2,4]=>8
[7,6,1,3,5,4,2]=>[6,1,3,5,4,2]=>8
[7,6,1,4,2,3,5]=>[6,1,4,2,3,5]=>7
[7,6,1,4,2,5,3]=>[6,1,4,2,5,3]=>8
[7,6,1,4,3,2,5]=>[6,1,4,3,2,5]=>7
[7,6,1,4,3,5,2]=>[6,1,4,3,5,2]=>8
[7,6,1,4,5,2,3]=>[6,1,4,5,2,3]=>8
[7,6,1,4,5,3,2]=>[6,1,4,5,3,2]=>8
[7,6,1,5,2,3,4]=>[6,1,5,2,3,4]=>7
[7,6,1,5,2,4,3]=>[6,1,5,2,4,3]=>8
[7,6,1,5,3,2,4]=>[6,1,5,3,2,4]=>7
[7,6,1,5,3,4,2]=>[6,1,5,3,4,2]=>8
[7,6,1,5,4,2,3]=>[6,1,5,4,2,3]=>7
[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>7
[7,6,2,1,3,4,5]=>[6,2,1,3,4,5]=>6
[7,6,2,1,3,5,4]=>[6,2,1,3,5,4]=>7
[7,6,2,1,4,3,5]=>[6,2,1,4,3,5]=>7
[7,6,2,1,4,5,3]=>[6,2,1,4,5,3]=>7
[7,6,2,1,5,3,4]=>[6,2,1,5,3,4]=>8
[7,6,2,1,5,4,3]=>[6,2,1,5,4,3]=>8
[7,6,2,3,1,4,5]=>[6,2,3,1,4,5]=>7
[7,6,2,3,1,5,4]=>[6,2,3,1,5,4]=>8
[7,6,2,3,4,1,5]=>[6,2,3,4,1,5]=>7
[7,6,2,3,4,5,1]=>[6,2,3,4,5,1]=>7
[7,6,2,3,5,1,4]=>[6,2,3,5,1,4]=>8
[7,6,2,3,5,4,1]=>[6,2,3,5,4,1]=>8
[7,6,2,4,1,3,5]=>[6,2,4,1,3,5]=>7
[7,6,2,4,1,5,3]=>[6,2,4,1,5,3]=>8
[7,6,2,4,3,1,5]=>[6,2,4,3,1,5]=>7
[7,6,2,4,3,5,1]=>[6,2,4,3,5,1]=>8
[7,6,2,4,5,1,3]=>[6,2,4,5,1,3]=>8
[7,6,2,4,5,3,1]=>[6,2,4,5,3,1]=>8
[7,6,2,5,1,3,4]=>[6,2,5,1,3,4]=>7
[7,6,2,5,1,4,3]=>[6,2,5,1,4,3]=>8
[7,6,2,5,3,1,4]=>[6,2,5,3,1,4]=>7
[7,6,2,5,3,4,1]=>[6,2,5,3,4,1]=>8
[7,6,2,5,4,1,3]=>[6,2,5,4,1,3]=>7
[7,6,2,5,4,3,1]=>[6,2,5,4,3,1]=>7
[7,6,3,1,2,4,5]=>[6,3,1,2,4,5]=>6
[7,6,3,1,2,5,4]=>[6,3,1,2,5,4]=>7
[7,6,3,1,4,2,5]=>[6,3,1,4,2,5]=>7
[7,6,3,1,4,5,2]=>[6,3,1,4,5,2]=>7
[7,6,3,1,5,2,4]=>[6,3,1,5,2,4]=>8
[7,6,3,1,5,4,2]=>[6,3,1,5,4,2]=>8
[7,6,3,2,1,4,5]=>[6,3,2,1,4,5]=>6
[7,6,3,2,1,5,4]=>[6,3,2,1,5,4]=>7
[7,6,3,2,4,1,5]=>[6,3,2,4,1,5]=>7
[7,6,3,2,4,5,1]=>[6,3,2,4,5,1]=>7
[7,6,3,2,5,1,4]=>[6,3,2,5,1,4]=>8
[7,6,3,2,5,4,1]=>[6,3,2,5,4,1]=>8
[7,6,3,4,1,2,5]=>[6,3,4,1,2,5]=>7
[7,6,3,4,1,5,2]=>[6,3,4,1,5,2]=>8
[7,6,3,4,2,1,5]=>[6,3,4,2,1,5]=>7
[7,6,3,4,2,5,1]=>[6,3,4,2,5,1]=>8
[7,6,3,4,5,1,2]=>[6,3,4,5,1,2]=>8
[7,6,3,4,5,2,1]=>[6,3,4,5,2,1]=>8
[7,6,3,5,1,2,4]=>[6,3,5,1,2,4]=>7
[7,6,3,5,1,4,2]=>[6,3,5,1,4,2]=>8
[7,6,3,5,2,1,4]=>[6,3,5,2,1,4]=>7
[7,6,3,5,2,4,1]=>[6,3,5,2,4,1]=>8
[7,6,3,5,4,1,2]=>[6,3,5,4,1,2]=>7
[7,6,3,5,4,2,1]=>[6,3,5,4,2,1]=>7
[7,6,4,1,2,3,5]=>[6,4,1,2,3,5]=>6
[7,6,4,1,2,5,3]=>[6,4,1,2,5,3]=>7
[7,6,4,1,3,2,5]=>[6,4,1,3,2,5]=>7
[7,6,4,1,3,5,2]=>[6,4,1,3,5,2]=>7
[7,6,4,1,5,2,3]=>[6,4,1,5,2,3]=>8
[7,6,4,1,5,3,2]=>[6,4,1,5,3,2]=>8
[7,6,4,2,1,3,5]=>[6,4,2,1,3,5]=>6
[7,6,4,2,1,5,3]=>[6,4,2,1,5,3]=>7
[7,6,4,2,3,1,5]=>[6,4,2,3,1,5]=>7
[7,6,4,2,3,5,1]=>[6,4,2,3,5,1]=>7
[7,6,4,2,5,1,3]=>[6,4,2,5,1,3]=>8
[7,6,4,2,5,3,1]=>[6,4,2,5,3,1]=>8
[7,6,4,3,1,2,5]=>[6,4,3,1,2,5]=>6
[7,6,4,3,1,5,2]=>[6,4,3,1,5,2]=>7
[7,6,4,3,2,1,5]=>[6,4,3,2,1,5]=>6
[7,6,4,3,2,5,1]=>[6,4,3,2,5,1]=>7
[7,6,4,3,5,1,2]=>[6,4,3,5,1,2]=>8
[7,6,4,3,5,2,1]=>[6,4,3,5,2,1]=>8
[7,6,4,5,1,2,3]=>[6,4,5,1,2,3]=>7
[7,6,4,5,1,3,2]=>[6,4,5,1,3,2]=>8
[7,6,4,5,2,1,3]=>[6,4,5,2,1,3]=>7
[7,6,4,5,2,3,1]=>[6,4,5,2,3,1]=>8
[7,6,4,5,3,1,2]=>[6,4,5,3,1,2]=>7
[7,6,4,5,3,2,1]=>[6,4,5,3,2,1]=>7
[7,6,5,1,2,3,4]=>[6,5,1,2,3,4]=>6
[7,6,5,1,2,4,3]=>[6,5,1,2,4,3]=>7
[7,6,5,1,3,2,4]=>[6,5,1,3,2,4]=>7
[7,6,5,1,3,4,2]=>[6,5,1,3,4,2]=>7
[7,6,5,1,4,2,3]=>[6,5,1,4,2,3]=>7
[7,6,5,1,4,3,2]=>[6,5,1,4,3,2]=>7
[7,6,5,2,1,3,4]=>[6,5,2,1,3,4]=>6
[7,6,5,2,1,4,3]=>[6,5,2,1,4,3]=>7
[7,6,5,2,3,1,4]=>[6,5,2,3,1,4]=>7
[7,6,5,2,3,4,1]=>[6,5,2,3,4,1]=>7
[7,6,5,2,4,1,3]=>[6,5,2,4,1,3]=>7
[7,6,5,2,4,3,1]=>[6,5,2,4,3,1]=>7
[7,6,5,3,1,2,4]=>[6,5,3,1,2,4]=>6
[7,6,5,3,1,4,2]=>[6,5,3,1,4,2]=>7
[7,6,5,3,2,1,4]=>[6,5,3,2,1,4]=>6
[7,6,5,3,2,4,1]=>[6,5,3,2,4,1]=>7
[7,6,5,3,4,1,2]=>[6,5,3,4,1,2]=>7
[7,6,5,3,4,2,1]=>[6,5,3,4,2,1]=>7
[7,6,5,4,1,2,3]=>[6,5,4,1,2,3]=>6
[7,6,5,4,1,3,2]=>[6,5,4,1,3,2]=>7
[7,6,5,4,2,1,3]=>[6,5,4,2,1,3]=>6
[7,6,5,4,2,3,1]=>[6,5,4,2,3,1]=>7
[7,6,5,4,3,1,2]=>[6,5,4,3,1,2]=>6
[7,6,5,4,3,2,1]=>[6,5,4,3,2,1]=>6
[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>7
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7]=>7
[1,3,5,7,8,6,4,2]=>[1,3,5,7,6,4,2]=>10
[1,3,6,5,7,8,4,2]=>[1,3,6,5,7,4,2]=>10
[1,3,5,6,7,8,4,2]=>[1,3,5,6,7,4,2]=>9
[1,4,3,8,7,6,5,2]=>[1,4,3,7,6,5,2]=>11
[1,4,3,7,8,6,5,2]=>[1,4,3,7,6,5,2]=>11
[1,3,4,8,7,6,5,2]=>[1,3,4,7,6,5,2]=>10
[1,3,4,5,7,8,6,2]=>[1,3,4,5,7,6,2]=>9
[1,4,3,6,5,8,7,2]=>[1,4,3,6,5,7,2]=>10
[1,3,4,5,6,8,7,2]=>[1,3,4,5,6,7,2]=>8
[1,4,5,3,6,7,8,2]=>[1,4,5,3,6,7,2]=>9
[1,4,3,5,6,7,8,2]=>[1,4,3,5,6,7,2]=>9
[1,3,4,5,6,7,8,2]=>[1,3,4,5,6,7,2]=>8
[1,2,6,7,8,5,4,3]=>[1,2,6,7,5,4,3]=>10
[1,2,5,6,7,8,4,3]=>[1,2,5,6,7,4,3]=>9
[1,2,4,8,7,6,5,3]=>[1,2,4,7,6,5,3]=>10
[1,2,4,6,7,8,5,3]=>[1,2,4,6,7,5,3]=>9
[1,2,6,5,4,7,8,3]=>[1,2,6,5,4,7,3]=>10
[1,2,5,6,4,7,8,3]=>[1,2,5,6,4,7,3]=>9
[1,2,5,4,6,7,8,3]=>[1,2,5,4,6,7,3]=>9
[1,2,4,5,6,7,8,3]=>[1,2,4,5,6,7,3]=>8
[1,3,2,8,7,6,5,4]=>[1,3,2,7,6,5,4]=>11
[1,2,3,8,7,6,5,4]=>[1,2,3,7,6,5,4]=>10
[1,2,3,7,8,6,5,4]=>[1,2,3,7,6,5,4]=>10
[1,2,3,6,8,7,5,4]=>[1,2,3,6,7,5,4]=>9
[1,2,3,7,6,8,5,4]=>[1,2,3,7,6,5,4]=>10
[1,2,3,6,7,8,5,4]=>[1,2,3,6,7,5,4]=>9
[1,2,3,5,8,7,6,4]=>[1,2,3,5,7,6,4]=>9
[1,2,3,5,7,8,6,4]=>[1,2,3,5,7,6,4]=>9
[1,2,3,6,5,8,7,4]=>[1,2,3,6,5,7,4]=>9
[1,2,3,5,6,8,7,4]=>[1,2,3,5,6,7,4]=>8
[1,2,3,7,6,5,8,4]=>[1,2,3,7,6,5,4]=>10
[1,2,3,6,7,5,8,4]=>[1,2,3,6,7,5,4]=>9
[1,2,3,5,7,6,8,4]=>[1,2,3,5,7,6,4]=>9
[1,2,3,6,5,7,8,4]=>[1,2,3,6,5,7,4]=>9
[1,2,3,5,6,7,8,4]=>[1,2,3,5,6,7,4]=>8
[1,4,3,2,8,7,6,5]=>[1,4,3,2,7,6,5]=>10
[1,4,3,2,7,6,8,5]=>[1,4,3,2,7,6,5]=>10
[1,4,3,2,6,7,8,5]=>[1,4,3,2,6,7,5]=>9
[1,3,4,2,8,7,6,5]=>[1,3,4,2,7,6,5]=>10
[1,3,4,2,7,6,8,5]=>[1,3,4,2,7,6,5]=>10
[1,3,4,2,6,7,8,5]=>[1,3,4,2,6,7,5]=>9
[1,2,4,3,8,7,6,5]=>[1,2,4,3,7,6,5]=>10
[1,2,4,3,7,6,8,5]=>[1,2,4,3,7,6,5]=>10
[1,2,4,3,6,7,8,5]=>[1,2,4,3,6,7,5]=>9
[1,3,2,4,8,7,6,5]=>[1,3,2,4,7,6,5]=>10
[1,3,2,4,7,6,8,5]=>[1,3,2,4,7,6,5]=>10
[1,3,2,4,6,7,8,5]=>[1,3,2,4,6,7,5]=>9
[1,2,3,4,8,7,6,5]=>[1,2,3,4,7,6,5]=>9
[1,2,3,4,7,8,6,5]=>[1,2,3,4,7,6,5]=>9
[1,2,3,4,7,6,8,5]=>[1,2,3,4,7,6,5]=>9
[1,2,3,4,6,7,8,5]=>[1,2,3,4,6,7,5]=>8
[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,6]=>8
[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,7,6]=>8
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,7]=>7
[1,3,4,6,7,5,2,8]=>[1,3,4,6,7,5,2]=>9
[1,3,4,5,7,6,2,8]=>[1,3,4,5,7,6,2]=>9
[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5]=>10
[1,3,4,2,6,7,5,8]=>[1,3,4,2,6,7,5]=>9
[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6]=>10
[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6]=>9
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6]=>9
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6]=>8
[1,2,4,6,5,3,7,8]=>[1,2,4,6,5,3,7]=>9
[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7]=>9
[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7]=>9
[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7]=>8
[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7]=>8
[1,2,3,4,8,6,7,5]=>[1,2,3,4,6,7,5]=>8
[1,2,3,5,8,6,7,4]=>[1,2,3,5,6,7,4]=>8
[1,2,3,7,5,6,8,4]=>[1,2,3,7,5,6,4]=>11
[1,2,3,8,5,6,7,4]=>[1,2,3,5,6,7,4]=>8
[1,2,3,8,5,7,6,4]=>[1,2,3,5,7,6,4]=>9
[1,2,3,8,6,5,7,4]=>[1,2,3,6,5,7,4]=>9
[1,2,3,8,6,7,5,4]=>[1,2,3,6,7,5,4]=>9
[1,2,4,5,8,6,7,3]=>[1,2,4,5,6,7,3]=>8
[1,2,4,8,6,5,7,3]=>[1,2,4,6,5,7,3]=>9
[1,2,6,4,5,7,8,3]=>[1,2,6,4,5,7,3]=>10
[1,2,8,5,4,6,7,3]=>[1,2,5,4,6,7,3]=>9
[1,3,2,8,6,5,7,4]=>[1,3,2,6,5,7,4]=>10
[1,3,7,4,5,6,2,8]=>[1,3,7,4,5,6,2]=>10
[1,3,8,5,4,6,7,2]=>[1,3,5,4,6,7,2]=>9
[1,3,8,5,6,7,4,2]=>[1,3,5,6,7,4,2]=>9
[1,3,8,6,5,7,4,2]=>[1,3,6,5,7,4,2]=>10
[1,8,4,3,5,6,7,2]=>[1,4,3,5,6,7,2]=>9
[1,3,5,2,7,4,8,6]=>[1,3,5,2,7,4,6]=>10
[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,6,7]=>9
[1,3,2,5,8,4,6,7]=>[1,3,2,5,4,6,7]=>9
[1,3,5,8,2,4,6,7]=>[1,3,5,2,4,6,7]=>9
[1,3,5,2,6,8,4,7]=>[1,3,5,2,6,4,7]=>9
[1,3,5,2,6,7,4,8]=>[1,3,5,2,6,7,4]=>9
[1,3,5,6,2,7,4,8]=>[1,3,5,6,2,7,4]=>9
[1,3,5,6,7,8,2,4]=>[1,3,5,6,7,2,4]=>9
[1,3,2,6,4,7,5,8]=>[1,3,2,6,4,7,5]=>10
[1,3,6,2,4,7,8,5]=>[1,3,6,2,4,7,5]=>10
[1,3,6,2,7,8,4,5]=>[1,3,6,2,7,4,5]=>10
[1,3,2,6,4,8,5,7]=>[1,3,2,6,4,5,7]=>10
[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7]=>10
[1,3,4,6,7,2,8,5]=>[1,3,4,6,7,2,5]=>9
[1,3,2,7,4,8,5,6]=>[1,3,2,7,4,5,6]=>11
[1,3,7,2,8,4,5,6]=>[1,3,7,2,4,5,6]=>9
[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6]=>11
[1,3,4,5,7,8,2,6]=>[1,3,4,5,7,2,6]=>9
[1,3,2,8,4,5,6,7]=>[1,3,2,4,5,6,7]=>8
[1,3,2,4,8,5,6,7]=>[1,3,2,4,5,6,7]=>8
[1,3,4,2,8,5,6,7]=>[1,3,4,2,5,6,7]=>8
[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,6,7]=>8
[1,4,2,5,3,7,6,8]=>[1,4,2,5,3,7,6]=>10
[1,4,2,5,7,3,8,6]=>[1,4,2,5,7,3,6]=>10
[1,4,5,2,7,3,8,6]=>[1,4,5,2,7,3,6]=>10
[1,4,5,7,2,3,8,6]=>[1,4,5,7,2,3,6]=>10
[1,4,2,5,7,8,3,6]=>[1,4,2,5,7,3,6]=>10
[1,4,2,5,3,8,6,7]=>[1,4,2,5,3,6,7]=>9
[1,4,2,5,8,3,6,7]=>[1,4,2,5,3,6,7]=>9
[1,4,5,2,6,3,8,7]=>[1,4,5,2,6,3,7]=>9
[1,4,2,5,3,6,7,8]=>[1,4,2,5,3,6,7]=>9
[1,4,5,2,6,3,7,8]=>[1,4,5,2,6,3,7]=>9
[1,4,2,5,6,7,3,8]=>[1,4,2,5,6,7,3]=>9
[1,4,5,6,2,7,3,8]=>[1,4,5,6,2,7,3]=>9
[1,4,5,6,7,2,3,8]=>[1,4,5,6,7,2,3]=>9
[1,4,2,5,6,7,8,3]=>[1,4,2,5,6,7,3]=>9
[1,4,5,2,6,7,8,3]=>[1,4,5,2,6,7,3]=>9
[1,4,5,6,7,8,2,3]=>[1,4,5,6,7,2,3]=>9
[1,4,2,6,3,7,5,8]=>[1,4,2,6,3,7,5]=>10
[1,4,6,2,7,3,8,5]=>[1,4,6,2,7,3,5]=>10
[1,4,2,6,7,8,3,5]=>[1,4,2,6,7,3,5]=>10
[1,4,6,2,7,8,3,5]=>[1,4,6,2,7,3,5]=>10
[1,4,2,6,3,8,5,7]=>[1,4,2,6,3,5,7]=>10
[1,4,2,6,3,5,7,8]=>[1,4,2,6,3,5,7]=>10
[1,4,2,3,6,7,8,5]=>[1,4,2,3,6,7,5]=>9
[1,2,4,6,7,8,3,5]=>[1,2,4,6,7,3,5]=>9
[1,4,2,7,3,8,5,6]=>[1,4,2,7,3,5,6]=>11
[1,4,2,7,8,3,5,6]=>[1,4,2,7,3,5,6]=>11
[1,4,2,7,3,5,6,8]=>[1,4,2,7,3,5,6]=>11
[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6]=>10
[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6]=>9
[1,2,4,5,7,3,8,6]=>[1,2,4,5,7,3,6]=>9
[1,4,2,8,3,5,6,7]=>[1,4,2,3,5,6,7]=>8
[1,4,2,3,8,5,6,7]=>[1,4,2,3,5,6,7]=>8
[1,2,4,3,8,5,6,7]=>[1,2,4,3,5,6,7]=>8
[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,6,7]=>8
[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7]=>8
[1,2,5,3,6,4,7,8]=>[1,2,5,3,6,4,7]=>9
[1,2,5,6,3,4,7,8]=>[1,2,5,6,3,4,7]=>9
[1,2,5,3,6,7,4,8]=>[1,2,5,3,6,7,4]=>9
[1,2,5,3,6,7,8,4]=>[1,2,5,3,6,7,4]=>9
[1,2,5,6,3,7,8,4]=>[1,2,5,6,3,7,4]=>9
[1,2,5,6,7,3,8,4]=>[1,2,5,6,7,3,4]=>9
[1,2,5,6,7,8,3,4]=>[1,2,5,6,7,3,4]=>9
[1,2,5,3,8,4,6,7]=>[1,2,5,3,4,6,7]=>9
[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,6,7]=>8
[1,2,6,3,7,4,5,8]=>[1,2,6,3,7,4,5]=>10
[1,2,3,6,4,7,5,8]=>[1,2,3,6,4,7,5]=>9
[1,2,6,3,4,7,8,5]=>[1,2,6,3,4,7,5]=>10
[1,2,3,6,4,7,8,5]=>[1,2,3,6,4,7,5]=>9
[1,2,3,6,7,4,8,5]=>[1,2,3,6,7,4,5]=>9
[1,2,6,3,4,8,5,7]=>[1,2,6,3,4,5,7]=>9
[1,2,3,6,4,8,5,7]=>[1,2,3,6,4,5,7]=>9
[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7]=>9
[1,2,3,7,4,8,5,6]=>[1,2,3,7,4,5,6]=>10
[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,5,6]=>9
[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,5,6]=>10
[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,5,6]=>9
[1,2,3,4,7,8,5,6]=>[1,2,3,4,7,5,6]=>9
[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6]=>10
[1,8,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>7
[1,2,3,8,4,5,6,7]=>[1,2,3,4,5,6,7]=>7
[1,2,3,4,8,5,6,7]=>[1,2,3,4,5,6,7]=>7
[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,6,7]=>7
[8,1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>9
[8,1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>10
[8,1,2,3,6,7,4,5]=>[1,2,3,6,7,4,5]=>9
[8,1,2,5,6,3,4,7]=>[1,2,5,6,3,4,7]=>9
[8,1,2,5,7,3,4,6]=>[1,2,5,7,3,4,6]=>10
[8,1,2,7,6,3,4,5]=>[1,2,7,6,3,4,5]=>9
[8,1,2,5,6,7,3,4]=>[1,2,5,6,7,3,4]=>9
[8,1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>10
[8,1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7]=>10
[8,1,4,5,2,3,6,7]=>[1,4,5,2,3,6,7]=>9
[8,1,4,5,2,7,3,6]=>[1,4,5,2,7,3,6]=>10
[8,1,4,5,7,2,3,6]=>[1,4,5,7,2,3,6]=>10
[8,1,4,5,6,7,2,3]=>[1,4,5,6,7,2,3]=>9
[1,2,5,8,3,7,6,4]=>[1,2,5,3,7,6,4]=>10
[1,4,2,3,8,7,6,5]=>[1,4,2,3,7,6,5]=>10
[1,4,5,8,7,2,6,3]=>[1,4,5,7,2,6,3]=>11
[1,3,5,8,2,7,6,4]=>[1,3,5,2,7,6,4]=>10
[8,1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>10
[8,1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6]=>10
[8,1,4,3,7,2,6,5]=>[1,4,3,7,2,6,5]=>12
[8,1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5]=>10
[8,1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5]=>10
[8,1,2,4,5,6,3,7]=>[1,2,4,5,6,3,7]=>8
[8,1,4,5,6,3,2,7]=>[1,4,5,6,3,2,7]=>9
[1,4,3,6,7,2,8,5]=>[1,4,3,6,7,2,5]=>10
[1,4,3,7,8,5,6,2]=>[1,4,3,7,5,6,2]=>12
[1,4,3,8,7,5,6,2]=>[1,4,3,7,5,6,2]=>12
[1,3,6,7,5,8,2,4]=>[1,3,6,7,5,2,4]=>10
[8,1,2,5,6,7,4,3]=>[1,2,5,6,7,4,3]=>9
[8,1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4]=>8
[8,1,4,2,5,6,7,3]=>[1,4,2,5,6,7,3]=>9
[1,4,5,8,7,3,6,2]=>[1,4,5,7,3,6,2]=>11
[1,4,2,8,7,3,5,6]=>[1,4,2,7,3,5,6]=>11
[1,3,8,2,6,4,7,5]=>[1,3,2,6,4,7,5]=>10
[1,3,7,6,4,2,8,5]=>[1,3,7,6,4,2,5]=>9
[1,8,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>9
[8,1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>9
[1,2,8,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>9
[1,3,8,7,2,4,5,6]=>[1,3,7,2,4,5,6]=>9
[8,1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>9
[8,1,4,3,2,7,5,6]=>[1,4,3,2,7,5,6]=>10
[8,1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>10
[8,1,4,3,2,6,7,5]=>[1,4,3,2,6,7,5]=>9
[8,1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>9
[8,1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>8
[1,8,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>8
[1,8,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>9
[1,8,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>9
[1,8,2,7,3,5,4,6]=>[1,2,7,3,5,4,6]=>10
[1,4,2,8,3,6,5,7]=>[1,4,2,3,6,5,7]=>9
[1,3,2,8,4,6,5,7]=>[1,3,2,4,6,5,7]=>9
[1,2,3,8,4,6,5,7]=>[1,2,3,4,6,5,7]=>8
[1,2,3,7,4,6,5,8]=>[1,2,3,7,4,6,5]=>11
[1,3,2,7,4,6,5,8]=>[1,3,2,7,4,6,5]=>12
[1,4,2,7,3,6,5,8]=>[1,4,2,7,3,6,5]=>12
[1,8,2,6,3,5,4,7]=>[1,2,6,3,5,4,7]=>10
[1,8,2,5,3,6,4,7]=>[1,2,5,3,6,4,7]=>9
[1,8,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>9
[1,8,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>8
[1,8,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>9
[1,8,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>10
[1,8,2,5,3,7,4,6]=>[1,2,5,3,7,4,6]=>10
[1,8,2,6,3,7,4,5]=>[1,2,6,3,7,4,5]=>10
[1,2,3,8,4,7,5,6]=>[1,2,3,4,7,5,6]=>9
[1,3,2,8,4,7,5,6]=>[1,3,2,4,7,5,6]=>10
[1,4,2,8,3,7,5,6]=>[1,4,2,3,7,5,6]=>10
[1,8,2,7,3,6,4,5]=>[1,2,7,3,6,4,5]=>10
[1,3,7,5,2,6,4,8]=>[1,3,7,5,2,6,4]=>10
[1,3,7,5,4,2,6,8]=>[1,3,7,5,4,2,6]=>9
[1,8,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>10
[1,8,4,5,2,3,7,6]=>[1,4,5,2,3,7,6]=>10
[1,8,4,6,2,7,3,5]=>[1,4,6,2,7,3,5]=>10
[1,8,3,2,6,7,4,5]=>[1,3,2,6,7,4,5]=>10
[1,8,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>11
[1,4,6,2,7,5,8,3]=>[1,4,6,2,7,5,3]=>10
[1,8,4,2,6,7,5,3]=>[1,4,2,6,7,5,3]=>10
[1,2,5,3,7,6,8,4]=>[1,2,5,3,7,6,4]=>10
[1,3,5,2,7,6,8,4]=>[1,3,5,2,7,6,4]=>10
[1,8,3,5,7,6,2,4]=>[1,3,5,7,6,2,4]=>10
[1,4,2,3,7,6,8,5]=>[1,4,2,3,7,6,5]=>10
[8,1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>9
[8,1,3,5,6,2,7,4]=>[1,3,5,6,2,7,4]=>9
[8,1,3,4,2,6,7,5]=>[1,3,4,2,6,7,5]=>9
[8,1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>9
[8,1,2,6,5,7,4,3]=>[1,2,6,5,7,4,3]=>10
[1,3,8,4,7,2,5,6]=>[1,3,4,7,2,5,6]=>10
[1,4,8,2,5,7,3,6]=>[1,4,2,5,7,3,6]=>10
[1,4,6,8,3,7,5,2]=>[1,4,6,3,7,5,2]=>10
[1,4,2,7,5,8,6,3]=>[1,4,2,7,5,6,3]=>12
[1,2,7,5,3,8,6,4]=>[1,2,7,5,3,6,4]=>10
[1,3,7,2,4,8,6,5]=>[1,3,7,2,4,6,5]=>10
[8,1,3,4,6,2,5,7]=>[1,3,4,6,2,5,7]=>9
[8,1,4,6,2,5,3,7]=>[1,4,6,2,5,3,7]=>10
[1,4,2,8,7,6,5,3]=>[1,4,2,7,6,5,3]=>11
[1,3,8,2,7,6,4,5]=>[1,3,2,7,6,4,5]=>11
[1,8,3,2,7,5,4,6]=>[1,3,2,7,5,4,6]=>11
[8,1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>10
[8,1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>9
[1,8,2,3,7,5,4,6]=>[1,2,3,7,5,4,6]=>10
[1,2,8,3,7,6,4,5]=>[1,2,3,7,6,4,5]=>10
[1,4,3,6,8,2,5,7]=>[1,4,3,6,2,5,7]=>10
[1,4,5,2,8,3,7,6]=>[1,4,5,2,3,7,6]=>10
[1,4,2,6,5,8,3,7]=>[1,4,2,6,5,3,7]=>10
[1,2,6,5,4,8,3,7]=>[1,2,6,5,4,3,7]=>9
[1,2,5,4,7,3,8,6]=>[1,2,5,4,7,3,6]=>10
[1,4,5,2,8,7,3,6]=>[1,4,5,2,7,3,6]=>10
[1,4,2,8,3,7,6,5]=>[1,4,2,3,7,6,5]=>10
[1,2,5,3,8,7,6,4]=>[1,2,5,3,7,6,4]=>10
[1,2,8,6,5,3,7,4]=>[1,2,6,5,3,7,4]=>10
[1,2,7,6,5,3,8,4]=>[1,2,7,6,5,3,4]=>9
[1,2,6,5,3,8,7,4]=>[1,2,6,5,3,7,4]=>10
[1,4,2,8,7,3,6,5]=>[1,4,2,7,3,6,5]=>12
[1,4,8,5,2,7,3,6]=>[1,4,5,2,7,3,6]=>10
[1,2,8,5,3,7,6,4]=>[1,2,5,3,7,6,4]=>10
[1,2,6,3,8,7,5,4]=>[1,2,6,3,7,5,4]=>10
[1,2,7,6,3,8,5,4]=>[1,2,7,6,3,5,4]=>10
[1,4,2,8,7,6,3,5]=>[1,4,2,7,6,3,5]=>11
[1,2,8,7,5,3,6,4]=>[1,2,7,5,3,6,4]=>10
[1,2,8,6,3,7,5,4]=>[1,2,6,3,7,5,4]=>10
[1,2,7,3,8,6,5,4]=>[1,2,7,3,6,5,4]=>10
[8,1,4,5,3,7,6,2]=>[1,4,5,3,7,6,2]=>10
[8,1,4,5,3,6,7,2]=>[1,4,5,3,6,7,2]=>9
[1,2,7,6,3,4,5,8]=>[1,2,7,6,3,4,5]=>9
[1,2,8,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>10
[8,1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>8
[1,4,8,6,2,3,7,5]=>[1,4,6,2,3,7,5]=>10
[1,4,2,6,8,5,7,3]=>[1,4,2,6,5,7,3]=>10
[8,1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>9
[1,8,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>8
[1,2,8,3,4,6,7,5]=>[1,2,3,4,6,7,5]=>8
[8,1,2,7,3,4,6,5]=>[1,2,7,3,4,6,5]=>10
[1,2,8,7,6,3,4,5]=>[1,2,7,6,3,4,5]=>9
[1,3,8,7,4,6,2,5]=>[1,3,7,4,6,2,5]=>10
[8,1,3,7,4,6,5,2]=>[1,3,7,4,6,5,2]=>10
[8,1,3,5,4,7,6,2]=>[1,3,5,4,7,6,2]=>10
[8,1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2]=>8
[1,2,6,3,5,4,7,8]=>[1,2,6,3,5,4,7]=>10
[1,4,2,7,8,6,3,5]=>[1,4,2,7,6,3,5]=>11
[1,3,6,4,8,5,7,2]=>[1,3,6,4,5,7,2]=>10
[1,3,6,4,7,5,8,2]=>[1,3,6,4,7,5,2]=>10
[1,2,8,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>8
[1,4,6,2,8,3,7,5]=>[1,4,6,2,3,7,5]=>10
[1,8,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>8
[8,1,2,4,6,5,3,7]=>[1,2,4,6,5,3,7]=>9
[8,1,2,5,4,6,3,7]=>[1,2,5,4,6,3,7]=>9
[8,1,2,6,4,5,3,7]=>[1,2,6,4,5,3,7]=>10
[8,1,2,5,6,4,3,7]=>[1,2,5,6,4,3,7]=>9
[8,1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>9
[1,4,6,8,2,7,3,5]=>[1,4,6,2,7,3,5]=>10
[1,4,6,2,8,7,3,5]=>[1,4,6,2,7,3,5]=>10
[1,4,2,8,6,7,3,5]=>[1,4,2,6,7,3,5]=>10
[1,2,3,6,8,5,7,4]=>[1,2,3,6,5,7,4]=>9
[1,4,2,7,6,8,3,5]=>[1,4,2,7,6,3,5]=>11
[1,4,2,6,8,7,3,5]=>[1,4,2,6,7,3,5]=>10
[1,4,2,7,8,3,6,5]=>[1,4,2,7,3,6,5]=>12
[1,4,2,6,8,3,7,5]=>[1,4,2,6,3,7,5]=>10
[1,2,3,7,8,5,6,4]=>[1,2,3,7,5,6,4]=>11
[1,2,3,7,5,8,6,4]=>[1,2,3,7,5,6,4]=>11
[1,4,2,7,3,8,6,5]=>[1,4,2,7,3,6,5]=>12
[1,2,3,8,7,5,6,4]=>[1,2,3,7,5,6,4]=>11
[8,1,3,2,7,4,6,5]=>[1,3,2,7,4,6,5]=>12
[8,1,3,2,7,5,6,4]=>[1,3,2,7,5,6,4]=>12
[1,3,7,8,4,6,5,2]=>[1,3,7,4,6,5,2]=>10
[1,2,7,8,5,4,6,3]=>[1,2,7,5,4,6,3]=>10
[1,4,3,2,8,5,6,7]=>[1,4,3,2,5,6,7]=>8
[1,2,8,4,5,3,7,6]=>[1,2,4,5,3,7,6]=>9
[1,4,2,8,5,3,6,7]=>[1,4,2,5,3,6,7]=>9
[1,8,4,2,5,3,6,7]=>[1,4,2,5,3,6,7]=>9
[1,2,8,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>9
[1,2,5,4,3,8,6,7]=>[1,2,5,4,3,6,7]=>9
[1,2,4,8,5,3,7,6]=>[1,2,4,5,3,7,6]=>9
[1,2,7,4,8,5,3,6]=>[1,2,7,4,5,3,6]=>10
[1,2,8,5,7,4,3,6]=>[1,2,5,7,4,3,6]=>10
[1,2,4,8,7,5,3,6]=>[1,2,4,7,5,3,6]=>10
[1,4,2,7,8,5,3,6]=>[1,4,2,7,5,3,6]=>11
[1,2,7,3,5,8,4,6]=>[1,2,7,3,5,4,6]=>10
[1,2,7,5,8,3,4,6]=>[1,2,7,5,3,4,6]=>9
[1,2,5,8,7,3,4,6]=>[1,2,5,7,3,4,6]=>10
[1,2,5,8,3,7,4,6]=>[1,2,5,3,7,4,6]=>10
[1,2,8,4,7,5,3,6]=>[1,2,4,7,5,3,6]=>10
[1,2,8,7,4,5,3,6]=>[1,2,7,4,5,3,6]=>10
[8,1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>10
[8,1,4,5,7,6,2,3]=>[1,4,5,7,6,2,3]=>10
[8,1,3,5,7,2,6,4]=>[1,3,5,7,2,6,4]=>11
[8,1,2,5,7,3,6,4]=>[1,2,5,7,3,6,4]=>11
[8,1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>10
[8,1,3,4,2,7,6,5]=>[1,3,4,2,7,6,5]=>10
[8,1,4,2,3,7,6,5]=>[1,4,2,3,7,6,5]=>10
[8,1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>10
[8,1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>9
[1,3,7,4,5,8,2,6]=>[1,3,7,4,5,2,6]=>10
[1,2,7,4,8,3,5,6]=>[1,2,7,4,3,5,6]=>9
[1,4,6,2,7,8,5,3]=>[1,4,6,2,7,5,3]=>10
[1,2,7,5,4,8,6,3]=>[1,2,7,5,4,6,3]=>10
[1,8,2,5,7,3,6,4]=>[1,2,5,7,3,6,4]=>11
[1,2,8,5,6,3,7,4]=>[1,2,5,6,3,7,4]=>9
[1,3,6,8,5,7,2,4]=>[1,3,6,5,7,2,4]=>10
[1,3,6,4,8,7,2,5]=>[1,3,6,4,7,2,5]=>10
[1,2,4,5,8,3,7,6]=>[1,2,4,5,3,7,6]=>9
[1,4,6,3,7,5,8,2]=>[1,4,6,3,7,5,2]=>10
[1,4,6,3,5,8,7,2]=>[1,4,6,3,5,7,2]=>10
[1,8,2,7,5,6,3,4]=>[1,2,7,5,6,3,4]=>10
[1,8,2,7,4,6,3,5]=>[1,2,7,4,6,3,5]=>10
[1,8,3,7,5,6,2,4]=>[1,3,7,5,6,2,4]=>10
[1,8,3,7,4,6,2,5]=>[1,3,7,4,6,2,5]=>10
[1,8,3,7,2,6,4,5]=>[1,3,7,2,6,4,5]=>10
[1,3,6,4,8,2,5,7]=>[1,3,6,4,2,5,7]=>9
[1,4,6,2,5,8,3,7]=>[1,4,6,2,5,3,7]=>10
[1,2,8,3,6,5,7,4]=>[1,2,3,6,5,7,4]=>9
[1,8,3,5,4,2,7,6]=>[1,3,5,4,2,7,6]=>10
[1,3,8,5,7,6,2,4]=>[1,3,5,7,6,2,4]=>10
[8,1,2,5,6,3,7,4]=>[1,2,5,6,3,7,4]=>9
[1,8,2,5,7,6,3,4]=>[1,2,5,7,6,3,4]=>10
[1,2,8,6,5,7,3,4]=>[1,2,6,5,7,3,4]=>10
[1,8,3,6,5,7,2,4]=>[1,3,6,5,7,2,4]=>10
[8,1,3,5,7,6,2,4]=>[1,3,5,7,6,2,4]=>10
[1,2,7,6,5,8,3,4]=>[1,2,7,6,5,3,4]=>9
[1,8,3,6,7,4,5,2]=>[1,3,6,7,4,5,2]=>11
[1,3,7,4,8,2,5,6]=>[1,3,7,4,2,5,6]=>9
[1,2,7,8,5,4,3,6]=>[1,2,7,5,4,3,6]=>9
[1,3,7,4,6,8,2,5]=>[1,3,7,4,6,2,5]=>10
[1,2,7,6,8,3,4,5]=>[1,2,7,6,3,4,5]=>9
[1,3,8,7,5,6,2,4]=>[1,3,7,5,6,2,4]=>10
[1,2,8,7,4,5,6,3]=>[1,2,7,4,5,6,3]=>10
[1,4,5,7,3,2,8,6]=>[1,4,5,7,3,2,6]=>10
[1,3,6,2,7,8,5,4]=>[1,3,6,2,7,5,4]=>10
[1,4,3,6,2,5,7,8]=>[1,4,3,6,2,5,7]=>10
[1,4,3,7,2,5,6,8]=>[1,4,3,7,2,5,6]=>11
[1,4,3,7,6,8,2,5]=>[1,4,3,7,6,2,5]=>11
[1,4,3,7,5,8,2,6]=>[1,4,3,7,5,2,6]=>11
[1,4,3,7,2,6,5,8]=>[1,4,3,7,2,6,5]=>12
[1,3,2,6,5,8,4,7]=>[1,3,2,6,5,4,7]=>10
[1,2,3,6,5,8,4,7]=>[1,2,3,6,5,4,7]=>9
[1,2,5,3,8,4,7,6]=>[1,2,5,3,4,7,6]=>10
[1,2,4,8,3,7,6,5]=>[1,2,4,3,7,6,5]=>10
[1,4,8,2,3,7,6,5]=>[1,4,2,3,7,6,5]=>10
[1,4,8,3,7,2,6,5]=>[1,4,3,7,2,6,5]=>12
[1,4,2,5,8,7,6,3]=>[1,4,2,5,7,6,3]=>10
[1,3,5,2,8,7,4,6]=>[1,3,5,2,7,4,6]=>10
[1,3,4,8,7,2,6,5]=>[1,3,4,7,2,6,5]=>11
[1,3,4,8,2,7,6,5]=>[1,3,4,2,7,6,5]=>10
[1,2,6,3,4,8,7,5]=>[1,2,6,3,4,7,5]=>10
[1,2,6,7,4,8,5,3]=>[1,2,6,7,4,5,3]=>11
[8,1,2,3,5,7,6,4]=>[1,2,3,5,7,6,4]=>9
[8,1,2,3,6,7,5,4]=>[1,2,3,6,7,5,4]=>9
[8,1,2,3,7,5,6,4]=>[1,2,3,7,5,6,4]=>11
[8,1,2,3,6,5,7,4]=>[1,2,3,6,5,7,4]=>9
[1,4,8,2,7,3,5,6]=>[1,4,2,7,3,5,6]=>11
[1,2,8,5,4,7,3,6]=>[1,2,5,4,7,3,6]=>10
[1,3,8,5,4,2,7,6]=>[1,3,5,4,2,7,6]=>10
[1,3,6,8,4,7,5,2]=>[1,3,6,4,7,5,2]=>10
[1,2,6,8,4,5,7,3]=>[1,2,6,4,5,7,3]=>10
[1,2,5,3,8,7,4,6]=>[1,2,5,3,7,4,6]=>10
[1,3,2,5,8,7,4,6]=>[1,3,2,5,7,4,6]=>10
[1,3,4,8,7,6,2,5]=>[1,3,4,7,6,2,5]=>10
[1,2,7,5,8,6,4,3]=>[1,2,7,5,6,4,3]=>10
[1,3,7,8,2,6,5,4]=>[1,3,7,2,6,5,4]=>10
[8,1,2,6,7,3,5,4]=>[1,2,6,7,3,5,4]=>11
[8,1,2,6,7,5,3,4]=>[1,2,6,7,5,3,4]=>10
[1,4,6,8,2,7,5,3]=>[1,4,6,2,7,5,3]=>10
[1,8,4,5,7,2,6,3]=>[1,4,5,7,2,6,3]=>11
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Description
The sum of the minimal distances to a greater element.
Set $\pi_0 = \pi_{n+1} = n+1$, then this statistic is
$$ \sum_{i=1}^n \min_d(\pi_{i-d}>\pi_i\text{ or }\pi_{i+d}>\pi_i) $$
This statistic appears in [1].
The generating function for the sequence of maximal values attained on $\mathfrak S_r$, $r\geq 0$ apparently coincides with [2], which satisfies the functional equation
$$ (x-1)^2 (x+1)^3 f(x^2) - (x-1)^2 (x+1) f(x) + x = 0. $$
Set $\pi_0 = \pi_{n+1} = n+1$, then this statistic is
$$ \sum_{i=1}^n \min_d(\pi_{i-d}>\pi_i\text{ or }\pi_{i+d}>\pi_i) $$
This statistic appears in [1].
The generating function for the sequence of maximal values attained on $\mathfrak S_r$, $r\geq 0$ apparently coincides with [2], which satisfies the functional equation
$$ (x-1)^2 (x+1)^3 f(x^2) - (x-1)^2 (x+1) f(x) + x = 0. $$
Map
restriction
Description
The permutation obtained by removing the largest letter.
This map is undefined for the empty permutation.
This map is undefined for the empty permutation.
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