Identifier
-
Mp00248:
Permutations
—DEX composition⟶
Integer compositions
St000008: Integer compositions ⟶ ℤ
Values
=>
[1]=>[1]=>0
[1,2]=>[2]=>0
[2,1]=>[2]=>0
[1,2,3]=>[3]=>0
[1,3,2]=>[1,2]=>1
[2,1,3]=>[3]=>0
[2,3,1]=>[3]=>0
[3,1,2]=>[3]=>0
[3,2,1]=>[2,1]=>2
[1,2,3,4]=>[4]=>0
[1,2,4,3]=>[2,2]=>2
[1,3,2,4]=>[1,3]=>1
[1,3,4,2]=>[1,3]=>1
[1,4,2,3]=>[1,3]=>1
[1,4,3,2]=>[1,2,1]=>4
[2,1,3,4]=>[4]=>0
[2,1,4,3]=>[2,2]=>2
[2,3,1,4]=>[4]=>0
[2,3,4,1]=>[4]=>0
[2,4,1,3]=>[4]=>0
[2,4,3,1]=>[3,1]=>3
[3,1,2,4]=>[4]=>0
[3,1,4,2]=>[2,2]=>2
[3,2,1,4]=>[2,2]=>2
[3,2,4,1]=>[2,2]=>2
[3,4,1,2]=>[4]=>0
[3,4,2,1]=>[3,1]=>3
[4,1,2,3]=>[4]=>0
[4,1,3,2]=>[3,1]=>3
[4,2,1,3]=>[2,2]=>2
[4,2,3,1]=>[3,1]=>3
[4,3,1,2]=>[1,3]=>1
[4,3,2,1]=>[1,2,1]=>4
[1,2,3,4,5]=>[5]=>0
[1,2,3,5,4]=>[3,2]=>3
[1,2,4,3,5]=>[2,3]=>2
[1,2,4,5,3]=>[2,3]=>2
[1,2,5,3,4]=>[2,3]=>2
[1,2,5,4,3]=>[2,2,1]=>6
[1,3,2,4,5]=>[1,4]=>1
[1,3,2,5,4]=>[1,2,2]=>4
[1,3,4,2,5]=>[1,4]=>1
[1,3,4,5,2]=>[1,4]=>1
[1,3,5,2,4]=>[1,4]=>1
[1,3,5,4,2]=>[1,3,1]=>5
[1,4,2,3,5]=>[1,4]=>1
[1,4,2,5,3]=>[1,2,2]=>4
[1,4,3,2,5]=>[1,2,2]=>4
[1,4,3,5,2]=>[1,2,2]=>4
[1,4,5,2,3]=>[1,4]=>1
[1,4,5,3,2]=>[1,3,1]=>5
[1,5,2,3,4]=>[1,4]=>1
[1,5,2,4,3]=>[1,3,1]=>5
[1,5,3,2,4]=>[1,2,2]=>4
[1,5,3,4,2]=>[1,3,1]=>5
[1,5,4,2,3]=>[1,1,3]=>3
[1,5,4,3,2]=>[1,1,2,1]=>7
[2,1,3,4,5]=>[5]=>0
[2,1,3,5,4]=>[3,2]=>3
[2,1,4,3,5]=>[2,3]=>2
[2,1,4,5,3]=>[2,3]=>2
[2,1,5,3,4]=>[2,3]=>2
[2,1,5,4,3]=>[2,2,1]=>6
[2,3,1,4,5]=>[5]=>0
[2,3,1,5,4]=>[3,2]=>3
[2,3,4,1,5]=>[5]=>0
[2,3,4,5,1]=>[5]=>0
[2,3,5,1,4]=>[5]=>0
[2,3,5,4,1]=>[4,1]=>4
[2,4,1,3,5]=>[5]=>0
[2,4,1,5,3]=>[3,2]=>3
[2,4,3,1,5]=>[3,2]=>3
[2,4,3,5,1]=>[3,2]=>3
[2,4,5,1,3]=>[5]=>0
[2,4,5,3,1]=>[4,1]=>4
[2,5,1,3,4]=>[5]=>0
[2,5,1,4,3]=>[4,1]=>4
[2,5,3,1,4]=>[3,2]=>3
[2,5,3,4,1]=>[4,1]=>4
[2,5,4,1,3]=>[2,3]=>2
[2,5,4,3,1]=>[2,2,1]=>6
[3,1,2,4,5]=>[5]=>0
[3,1,2,5,4]=>[3,2]=>3
[3,1,4,2,5]=>[2,3]=>2
[3,1,4,5,2]=>[2,3]=>2
[3,1,5,2,4]=>[2,3]=>2
[3,1,5,4,2]=>[2,2,1]=>6
[3,2,1,4,5]=>[2,3]=>2
[3,2,1,5,4]=>[2,1,2]=>5
[3,2,4,1,5]=>[2,3]=>2
[3,2,4,5,1]=>[2,3]=>2
[3,2,5,1,4]=>[2,3]=>2
[3,2,5,4,1]=>[2,2,1]=>6
[3,4,1,2,5]=>[5]=>0
[3,4,1,5,2]=>[3,2]=>3
[3,4,2,1,5]=>[3,2]=>3
[3,4,2,5,1]=>[3,2]=>3
[3,4,5,1,2]=>[5]=>0
[3,4,5,2,1]=>[4,1]=>4
[3,5,1,2,4]=>[5]=>0
[3,5,1,4,2]=>[4,1]=>4
[3,5,2,1,4]=>[3,2]=>3
[3,5,2,4,1]=>[4,1]=>4
[3,5,4,1,2]=>[2,3]=>2
[3,5,4,2,1]=>[2,2,1]=>6
[4,1,2,3,5]=>[5]=>0
[4,1,2,5,3]=>[3,2]=>3
[4,1,3,2,5]=>[3,2]=>3
[4,1,3,5,2]=>[3,2]=>3
[4,1,5,2,3]=>[2,3]=>2
[4,1,5,3,2]=>[2,2,1]=>6
[4,2,1,3,5]=>[2,3]=>2
[4,2,1,5,3]=>[2,1,2]=>5
[4,2,3,1,5]=>[3,2]=>3
[4,2,3,5,1]=>[3,2]=>3
[4,2,5,1,3]=>[2,3]=>2
[4,2,5,3,1]=>[2,2,1]=>6
[4,3,1,2,5]=>[1,4]=>1
[4,3,1,5,2]=>[1,2,2]=>4
[4,3,2,1,5]=>[1,2,2]=>4
[4,3,2,5,1]=>[1,2,2]=>4
[4,3,5,1,2]=>[1,4]=>1
[4,3,5,2,1]=>[1,3,1]=>5
[4,5,1,2,3]=>[5]=>0
[4,5,1,3,2]=>[4,1]=>4
[4,5,2,1,3]=>[3,2]=>3
[4,5,2,3,1]=>[4,1]=>4
[4,5,3,1,2]=>[3,2]=>3
[4,5,3,2,1]=>[3,1,1]=>7
[5,1,2,3,4]=>[5]=>0
[5,1,2,4,3]=>[4,1]=>4
[5,1,3,2,4]=>[3,2]=>3
[5,1,3,4,2]=>[4,1]=>4
[5,1,4,2,3]=>[2,3]=>2
[5,1,4,3,2]=>[2,2,1]=>6
[5,2,1,3,4]=>[2,3]=>2
[5,2,1,4,3]=>[2,2,1]=>6
[5,2,3,1,4]=>[3,2]=>3
[5,2,3,4,1]=>[4,1]=>4
[5,2,4,1,3]=>[2,3]=>2
[5,2,4,3,1]=>[2,2,1]=>6
[5,3,1,2,4]=>[1,4]=>1
[5,3,1,4,2]=>[1,3,1]=>5
[5,3,2,1,4]=>[1,2,2]=>4
[5,3,2,4,1]=>[1,3,1]=>5
[5,3,4,1,2]=>[1,4]=>1
[5,3,4,2,1]=>[1,3,1]=>5
[5,4,1,2,3]=>[1,4]=>1
[5,4,1,3,2]=>[1,3,1]=>5
[5,4,2,1,3]=>[1,2,2]=>4
[5,4,2,3,1]=>[1,3,1]=>5
[5,4,3,1,2]=>[1,2,2]=>4
[5,4,3,2,1]=>[1,2,1,1]=>8
[1,2,3,4,5,6]=>[6]=>0
[1,2,3,4,6,5]=>[4,2]=>4
[1,2,3,5,4,6]=>[3,3]=>3
[1,2,3,5,6,4]=>[3,3]=>3
[1,2,3,6,4,5]=>[3,3]=>3
[1,2,3,6,5,4]=>[3,2,1]=>8
[1,2,4,3,5,6]=>[2,4]=>2
[1,2,4,3,6,5]=>[2,2,2]=>6
[1,2,4,5,3,6]=>[2,4]=>2
[1,2,4,5,6,3]=>[2,4]=>2
[1,2,4,6,3,5]=>[2,4]=>2
[1,2,4,6,5,3]=>[2,3,1]=>7
[1,2,5,3,4,6]=>[2,4]=>2
[1,2,5,3,6,4]=>[2,2,2]=>6
[1,2,5,4,3,6]=>[2,2,2]=>6
[1,2,5,4,6,3]=>[2,2,2]=>6
[1,2,5,6,3,4]=>[2,4]=>2
[1,2,5,6,4,3]=>[2,3,1]=>7
[1,2,6,3,4,5]=>[2,4]=>2
[1,2,6,3,5,4]=>[2,3,1]=>7
[1,2,6,4,3,5]=>[2,2,2]=>6
[1,2,6,4,5,3]=>[2,3,1]=>7
[1,2,6,5,3,4]=>[2,1,3]=>5
[1,2,6,5,4,3]=>[2,1,2,1]=>10
[1,3,2,4,5,6]=>[1,5]=>1
[1,3,2,4,6,5]=>[1,3,2]=>5
[1,3,2,5,4,6]=>[1,2,3]=>4
[1,3,2,5,6,4]=>[1,2,3]=>4
[1,3,2,6,4,5]=>[1,2,3]=>4
[1,3,2,6,5,4]=>[1,2,2,1]=>9
[1,3,4,2,5,6]=>[1,5]=>1
[1,3,4,2,6,5]=>[1,3,2]=>5
[1,3,4,5,2,6]=>[1,5]=>1
[1,3,4,5,6,2]=>[1,5]=>1
[1,3,4,6,2,5]=>[1,5]=>1
[1,3,4,6,5,2]=>[1,4,1]=>6
[1,3,5,2,4,6]=>[1,5]=>1
[1,3,5,2,6,4]=>[1,3,2]=>5
[1,3,5,4,2,6]=>[1,3,2]=>5
[1,3,5,4,6,2]=>[1,3,2]=>5
[1,3,5,6,2,4]=>[1,5]=>1
[1,3,5,6,4,2]=>[1,4,1]=>6
[1,3,6,2,4,5]=>[1,5]=>1
[1,3,6,2,5,4]=>[1,4,1]=>6
[1,3,6,4,2,5]=>[1,3,2]=>5
[1,3,6,4,5,2]=>[1,4,1]=>6
[1,3,6,5,2,4]=>[1,2,3]=>4
[1,3,6,5,4,2]=>[1,2,2,1]=>9
[1,4,2,3,5,6]=>[1,5]=>1
[1,4,2,3,6,5]=>[1,3,2]=>5
[1,4,2,5,3,6]=>[1,2,3]=>4
[1,4,2,5,6,3]=>[1,2,3]=>4
[1,4,2,6,3,5]=>[1,2,3]=>4
[1,4,2,6,5,3]=>[1,2,2,1]=>9
[1,4,3,2,5,6]=>[1,2,3]=>4
[1,4,3,2,6,5]=>[1,2,1,2]=>8
[1,4,3,5,2,6]=>[1,2,3]=>4
[1,4,3,5,6,2]=>[1,2,3]=>4
[1,4,3,6,2,5]=>[1,2,3]=>4
[1,4,3,6,5,2]=>[1,2,2,1]=>9
[1,4,5,2,3,6]=>[1,5]=>1
[1,4,5,2,6,3]=>[1,3,2]=>5
[1,4,5,3,2,6]=>[1,3,2]=>5
[1,4,5,3,6,2]=>[1,3,2]=>5
[1,4,5,6,2,3]=>[1,5]=>1
[1,4,5,6,3,2]=>[1,4,1]=>6
[1,4,6,2,3,5]=>[1,5]=>1
[1,4,6,2,5,3]=>[1,4,1]=>6
[1,4,6,3,2,5]=>[1,3,2]=>5
[1,4,6,3,5,2]=>[1,4,1]=>6
[1,4,6,5,2,3]=>[1,2,3]=>4
[1,4,6,5,3,2]=>[1,2,2,1]=>9
[1,5,2,3,4,6]=>[1,5]=>1
[1,5,2,3,6,4]=>[1,3,2]=>5
[1,5,2,4,3,6]=>[1,3,2]=>5
[1,5,2,4,6,3]=>[1,3,2]=>5
[1,5,2,6,3,4]=>[1,2,3]=>4
[1,5,2,6,4,3]=>[1,2,2,1]=>9
[1,5,3,2,4,6]=>[1,2,3]=>4
[1,5,3,2,6,4]=>[1,2,1,2]=>8
[1,5,3,4,2,6]=>[1,3,2]=>5
[1,5,3,4,6,2]=>[1,3,2]=>5
[1,5,3,6,2,4]=>[1,2,3]=>4
[1,5,3,6,4,2]=>[1,2,2,1]=>9
[1,5,4,2,3,6]=>[1,1,4]=>3
[1,5,4,2,6,3]=>[1,1,2,2]=>7
[1,5,4,3,2,6]=>[1,1,2,2]=>7
[1,5,4,3,6,2]=>[1,1,2,2]=>7
[1,5,4,6,2,3]=>[1,1,4]=>3
[1,5,4,6,3,2]=>[1,1,3,1]=>8
[1,5,6,2,3,4]=>[1,5]=>1
[1,5,6,2,4,3]=>[1,4,1]=>6
[1,5,6,3,2,4]=>[1,3,2]=>5
[1,5,6,3,4,2]=>[1,4,1]=>6
[1,5,6,4,2,3]=>[1,3,2]=>5
[1,5,6,4,3,2]=>[1,3,1,1]=>10
[1,6,2,3,4,5]=>[1,5]=>1
[1,6,2,3,5,4]=>[1,4,1]=>6
[1,6,2,4,3,5]=>[1,3,2]=>5
[1,6,2,4,5,3]=>[1,4,1]=>6
[1,6,2,5,3,4]=>[1,2,3]=>4
[1,6,2,5,4,3]=>[1,2,2,1]=>9
[1,6,3,2,4,5]=>[1,2,3]=>4
[1,6,3,2,5,4]=>[1,2,2,1]=>9
[1,6,3,4,2,5]=>[1,3,2]=>5
[1,6,3,4,5,2]=>[1,4,1]=>6
[1,6,3,5,2,4]=>[1,2,3]=>4
[1,6,3,5,4,2]=>[1,2,2,1]=>9
[1,6,4,2,3,5]=>[1,1,4]=>3
[1,6,4,2,5,3]=>[1,1,3,1]=>8
[1,6,4,3,2,5]=>[1,1,2,2]=>7
[1,6,4,3,5,2]=>[1,1,3,1]=>8
[1,6,4,5,2,3]=>[1,1,4]=>3
[1,6,4,5,3,2]=>[1,1,3,1]=>8
[1,6,5,2,3,4]=>[1,1,4]=>3
[1,6,5,2,4,3]=>[1,1,3,1]=>8
[1,6,5,3,2,4]=>[1,1,2,2]=>7
[1,6,5,3,4,2]=>[1,1,3,1]=>8
[1,6,5,4,2,3]=>[1,1,2,2]=>7
[1,6,5,4,3,2]=>[1,1,2,1,1]=>12
[2,1,3,4,5,6]=>[6]=>0
[2,1,3,4,6,5]=>[4,2]=>4
[2,1,3,5,4,6]=>[3,3]=>3
[2,1,3,5,6,4]=>[3,3]=>3
[2,1,3,6,4,5]=>[3,3]=>3
[2,1,3,6,5,4]=>[3,2,1]=>8
[2,1,4,3,5,6]=>[2,4]=>2
[2,1,4,3,6,5]=>[2,2,2]=>6
[2,1,4,5,3,6]=>[2,4]=>2
[2,1,4,5,6,3]=>[2,4]=>2
[2,1,4,6,3,5]=>[2,4]=>2
[2,1,4,6,5,3]=>[2,3,1]=>7
[2,1,5,3,4,6]=>[2,4]=>2
[2,1,5,3,6,4]=>[2,2,2]=>6
[2,1,5,4,3,6]=>[2,2,2]=>6
[2,1,5,4,6,3]=>[2,2,2]=>6
[2,1,5,6,3,4]=>[2,4]=>2
[2,1,5,6,4,3]=>[2,3,1]=>7
[2,1,6,3,4,5]=>[2,4]=>2
[2,1,6,3,5,4]=>[2,3,1]=>7
[2,1,6,4,3,5]=>[2,2,2]=>6
[2,1,6,4,5,3]=>[2,3,1]=>7
[2,1,6,5,3,4]=>[2,1,3]=>5
[2,1,6,5,4,3]=>[2,1,2,1]=>10
[2,3,1,4,5,6]=>[6]=>0
[2,3,1,4,6,5]=>[4,2]=>4
[2,3,1,5,4,6]=>[3,3]=>3
[2,3,1,5,6,4]=>[3,3]=>3
[2,3,1,6,4,5]=>[3,3]=>3
[2,3,1,6,5,4]=>[3,2,1]=>8
[2,3,4,1,5,6]=>[6]=>0
[2,3,4,1,6,5]=>[4,2]=>4
[2,3,4,5,1,6]=>[6]=>0
[2,3,4,5,6,1]=>[6]=>0
[2,3,4,6,1,5]=>[6]=>0
[2,3,4,6,5,1]=>[5,1]=>5
[2,3,5,1,4,6]=>[6]=>0
[2,3,5,1,6,4]=>[4,2]=>4
[2,3,5,4,1,6]=>[4,2]=>4
[2,3,5,4,6,1]=>[4,2]=>4
[2,3,5,6,1,4]=>[6]=>0
[2,3,5,6,4,1]=>[5,1]=>5
[2,3,6,1,4,5]=>[6]=>0
[2,3,6,1,5,4]=>[5,1]=>5
[2,3,6,4,1,5]=>[4,2]=>4
[2,3,6,4,5,1]=>[5,1]=>5
[2,3,6,5,1,4]=>[3,3]=>3
[2,3,6,5,4,1]=>[3,2,1]=>8
[2,4,1,3,5,6]=>[6]=>0
[2,4,1,3,6,5]=>[4,2]=>4
[2,4,1,5,3,6]=>[3,3]=>3
[2,4,1,5,6,3]=>[3,3]=>3
[2,4,1,6,3,5]=>[3,3]=>3
[2,4,1,6,5,3]=>[3,2,1]=>8
[2,4,3,1,5,6]=>[3,3]=>3
[2,4,3,1,6,5]=>[3,1,2]=>7
[2,4,3,5,1,6]=>[3,3]=>3
[2,4,3,5,6,1]=>[3,3]=>3
[2,4,3,6,1,5]=>[3,3]=>3
[2,4,3,6,5,1]=>[3,2,1]=>8
[2,4,5,1,3,6]=>[6]=>0
[2,4,5,1,6,3]=>[4,2]=>4
[2,4,5,3,1,6]=>[4,2]=>4
[2,4,5,3,6,1]=>[4,2]=>4
[2,4,5,6,1,3]=>[6]=>0
[2,4,5,6,3,1]=>[5,1]=>5
[2,4,6,1,3,5]=>[6]=>0
[2,4,6,1,5,3]=>[5,1]=>5
[2,4,6,3,1,5]=>[4,2]=>4
[2,4,6,3,5,1]=>[5,1]=>5
[2,4,6,5,1,3]=>[3,3]=>3
[2,4,6,5,3,1]=>[3,2,1]=>8
[2,5,1,3,4,6]=>[6]=>0
[2,5,1,3,6,4]=>[4,2]=>4
[2,5,1,4,3,6]=>[4,2]=>4
[2,5,1,4,6,3]=>[4,2]=>4
[2,5,1,6,3,4]=>[3,3]=>3
[2,5,1,6,4,3]=>[3,2,1]=>8
[2,5,3,1,4,6]=>[3,3]=>3
[2,5,3,1,6,4]=>[3,1,2]=>7
[2,5,3,4,1,6]=>[4,2]=>4
[2,5,3,4,6,1]=>[4,2]=>4
[2,5,3,6,1,4]=>[3,3]=>3
[2,5,3,6,4,1]=>[3,2,1]=>8
[2,5,4,1,3,6]=>[2,4]=>2
[2,5,4,1,6,3]=>[2,2,2]=>6
[2,5,4,3,1,6]=>[2,2,2]=>6
[2,5,4,3,6,1]=>[2,2,2]=>6
[2,5,4,6,1,3]=>[2,4]=>2
[2,5,4,6,3,1]=>[2,3,1]=>7
[2,5,6,1,3,4]=>[6]=>0
[2,5,6,1,4,3]=>[5,1]=>5
[2,5,6,3,1,4]=>[4,2]=>4
[2,5,6,3,4,1]=>[5,1]=>5
[2,5,6,4,1,3]=>[4,2]=>4
[2,5,6,4,3,1]=>[4,1,1]=>9
[2,6,1,3,4,5]=>[6]=>0
[2,6,1,3,5,4]=>[5,1]=>5
[2,6,1,4,3,5]=>[4,2]=>4
[2,6,1,4,5,3]=>[5,1]=>5
[2,6,1,5,3,4]=>[3,3]=>3
[2,6,1,5,4,3]=>[3,2,1]=>8
[2,6,3,1,4,5]=>[3,3]=>3
[2,6,3,1,5,4]=>[3,2,1]=>8
[2,6,3,4,1,5]=>[4,2]=>4
[2,6,3,4,5,1]=>[5,1]=>5
[2,6,3,5,1,4]=>[3,3]=>3
[2,6,3,5,4,1]=>[3,2,1]=>8
[2,6,4,1,3,5]=>[2,4]=>2
[2,6,4,1,5,3]=>[2,3,1]=>7
[2,6,4,3,1,5]=>[2,2,2]=>6
[2,6,4,3,5,1]=>[2,3,1]=>7
[2,6,4,5,1,3]=>[2,4]=>2
[2,6,4,5,3,1]=>[2,3,1]=>7
[2,6,5,1,3,4]=>[2,4]=>2
[2,6,5,1,4,3]=>[2,3,1]=>7
[2,6,5,3,1,4]=>[2,2,2]=>6
[2,6,5,3,4,1]=>[2,3,1]=>7
[2,6,5,4,1,3]=>[2,2,2]=>6
[2,6,5,4,3,1]=>[2,2,1,1]=>11
[3,1,2,4,5,6]=>[6]=>0
[3,1,2,4,6,5]=>[4,2]=>4
[3,1,2,5,4,6]=>[3,3]=>3
[3,1,2,5,6,4]=>[3,3]=>3
[3,1,2,6,4,5]=>[3,3]=>3
[3,1,2,6,5,4]=>[3,2,1]=>8
[3,1,4,2,5,6]=>[2,4]=>2
[3,1,4,2,6,5]=>[2,2,2]=>6
[3,1,4,5,2,6]=>[2,4]=>2
[3,1,4,5,6,2]=>[2,4]=>2
[3,1,4,6,2,5]=>[2,4]=>2
[3,1,4,6,5,2]=>[2,3,1]=>7
[3,1,5,2,4,6]=>[2,4]=>2
[3,1,5,2,6,4]=>[2,2,2]=>6
[3,1,5,4,2,6]=>[2,2,2]=>6
[3,1,5,4,6,2]=>[2,2,2]=>6
[3,1,5,6,2,4]=>[2,4]=>2
[3,1,5,6,4,2]=>[2,3,1]=>7
[3,1,6,2,4,5]=>[2,4]=>2
[3,1,6,2,5,4]=>[2,3,1]=>7
[3,1,6,4,2,5]=>[2,2,2]=>6
[3,1,6,4,5,2]=>[2,3,1]=>7
[3,1,6,5,2,4]=>[2,1,3]=>5
[3,1,6,5,4,2]=>[2,1,2,1]=>10
[3,2,1,4,5,6]=>[2,4]=>2
[3,2,1,4,6,5]=>[2,2,2]=>6
[3,2,1,5,4,6]=>[2,1,3]=>5
[3,2,1,5,6,4]=>[2,1,3]=>5
[3,2,1,6,4,5]=>[2,1,3]=>5
[3,2,1,6,5,4]=>[2,1,2,1]=>10
[3,2,4,1,5,6]=>[2,4]=>2
[3,2,4,1,6,5]=>[2,2,2]=>6
[3,2,4,5,1,6]=>[2,4]=>2
[3,2,4,5,6,1]=>[2,4]=>2
[3,2,4,6,1,5]=>[2,4]=>2
[3,2,4,6,5,1]=>[2,3,1]=>7
[3,2,5,1,4,6]=>[2,4]=>2
[3,2,5,1,6,4]=>[2,2,2]=>6
[3,2,5,4,1,6]=>[2,2,2]=>6
[3,2,5,4,6,1]=>[2,2,2]=>6
[3,2,5,6,1,4]=>[2,4]=>2
[3,2,5,6,4,1]=>[2,3,1]=>7
[3,2,6,1,4,5]=>[2,4]=>2
[3,2,6,1,5,4]=>[2,3,1]=>7
[3,2,6,4,1,5]=>[2,2,2]=>6
[3,2,6,4,5,1]=>[2,3,1]=>7
[3,2,6,5,1,4]=>[2,1,3]=>5
[3,2,6,5,4,1]=>[2,1,2,1]=>10
[3,4,1,2,5,6]=>[6]=>0
[3,4,1,2,6,5]=>[4,2]=>4
[3,4,1,5,2,6]=>[3,3]=>3
[3,4,1,5,6,2]=>[3,3]=>3
[3,4,1,6,2,5]=>[3,3]=>3
[3,4,1,6,5,2]=>[3,2,1]=>8
[3,4,2,1,5,6]=>[3,3]=>3
[3,4,2,1,6,5]=>[3,1,2]=>7
[3,4,2,5,1,6]=>[3,3]=>3
[3,4,2,5,6,1]=>[3,3]=>3
[3,4,2,6,1,5]=>[3,3]=>3
[3,4,2,6,5,1]=>[3,2,1]=>8
[3,4,5,1,2,6]=>[6]=>0
[3,4,5,1,6,2]=>[4,2]=>4
[3,4,5,2,1,6]=>[4,2]=>4
[3,4,5,2,6,1]=>[4,2]=>4
[3,4,5,6,1,2]=>[6]=>0
[3,4,5,6,2,1]=>[5,1]=>5
[3,4,6,1,2,5]=>[6]=>0
[3,4,6,1,5,2]=>[5,1]=>5
[3,4,6,2,1,5]=>[4,2]=>4
[3,4,6,2,5,1]=>[5,1]=>5
[3,4,6,5,1,2]=>[3,3]=>3
[3,4,6,5,2,1]=>[3,2,1]=>8
[3,5,1,2,4,6]=>[6]=>0
[3,5,1,2,6,4]=>[4,2]=>4
[3,5,1,4,2,6]=>[4,2]=>4
[3,5,1,4,6,2]=>[4,2]=>4
[3,5,1,6,2,4]=>[3,3]=>3
[3,5,1,6,4,2]=>[3,2,1]=>8
[3,5,2,1,4,6]=>[3,3]=>3
[3,5,2,1,6,4]=>[3,1,2]=>7
[3,5,2,4,1,6]=>[4,2]=>4
[3,5,2,4,6,1]=>[4,2]=>4
[3,5,2,6,1,4]=>[3,3]=>3
[3,5,2,6,4,1]=>[3,2,1]=>8
[3,5,4,1,2,6]=>[2,4]=>2
[3,5,4,1,6,2]=>[2,2,2]=>6
[3,5,4,2,1,6]=>[2,2,2]=>6
[3,5,4,2,6,1]=>[2,2,2]=>6
[3,5,4,6,1,2]=>[2,4]=>2
[3,5,4,6,2,1]=>[2,3,1]=>7
[3,5,6,1,2,4]=>[6]=>0
[3,5,6,1,4,2]=>[5,1]=>5
[3,5,6,2,1,4]=>[4,2]=>4
[3,5,6,2,4,1]=>[5,1]=>5
[3,5,6,4,1,2]=>[4,2]=>4
[3,5,6,4,2,1]=>[4,1,1]=>9
[3,6,1,2,4,5]=>[6]=>0
[3,6,1,2,5,4]=>[5,1]=>5
[3,6,1,4,2,5]=>[4,2]=>4
[3,6,1,4,5,2]=>[5,1]=>5
[3,6,1,5,2,4]=>[3,3]=>3
[3,6,1,5,4,2]=>[3,2,1]=>8
[3,6,2,1,4,5]=>[3,3]=>3
[3,6,2,1,5,4]=>[3,2,1]=>8
[3,6,2,4,1,5]=>[4,2]=>4
[3,6,2,4,5,1]=>[5,1]=>5
[3,6,2,5,1,4]=>[3,3]=>3
[3,6,2,5,4,1]=>[3,2,1]=>8
[3,6,4,1,2,5]=>[2,4]=>2
[3,6,4,1,5,2]=>[2,3,1]=>7
[3,6,4,2,1,5]=>[2,2,2]=>6
[3,6,4,2,5,1]=>[2,3,1]=>7
[3,6,4,5,1,2]=>[2,4]=>2
[3,6,4,5,2,1]=>[2,3,1]=>7
[3,6,5,1,2,4]=>[2,4]=>2
[3,6,5,1,4,2]=>[2,3,1]=>7
[3,6,5,2,1,4]=>[2,2,2]=>6
[3,6,5,2,4,1]=>[2,3,1]=>7
[3,6,5,4,1,2]=>[2,2,2]=>6
[3,6,5,4,2,1]=>[2,2,1,1]=>11
[4,1,2,3,5,6]=>[6]=>0
[4,1,2,3,6,5]=>[4,2]=>4
[4,1,2,5,3,6]=>[3,3]=>3
[4,1,2,5,6,3]=>[3,3]=>3
[4,1,2,6,3,5]=>[3,3]=>3
[4,1,2,6,5,3]=>[3,2,1]=>8
[4,1,3,2,5,6]=>[3,3]=>3
[4,1,3,2,6,5]=>[3,1,2]=>7
[4,1,3,5,2,6]=>[3,3]=>3
[4,1,3,5,6,2]=>[3,3]=>3
[4,1,3,6,2,5]=>[3,3]=>3
[4,1,3,6,5,2]=>[3,2,1]=>8
[4,1,5,2,3,6]=>[2,4]=>2
[4,1,5,2,6,3]=>[2,2,2]=>6
[4,1,5,3,2,6]=>[2,2,2]=>6
[4,1,5,3,6,2]=>[2,2,2]=>6
[4,1,5,6,2,3]=>[2,4]=>2
[4,1,5,6,3,2]=>[2,3,1]=>7
[4,1,6,2,3,5]=>[2,4]=>2
[4,1,6,2,5,3]=>[2,3,1]=>7
[4,1,6,3,2,5]=>[2,2,2]=>6
[4,1,6,3,5,2]=>[2,3,1]=>7
[4,1,6,5,2,3]=>[2,1,3]=>5
[4,1,6,5,3,2]=>[2,1,2,1]=>10
[4,2,1,3,5,6]=>[2,4]=>2
[4,2,1,3,6,5]=>[2,2,2]=>6
[4,2,1,5,3,6]=>[2,1,3]=>5
[4,2,1,5,6,3]=>[2,1,3]=>5
[4,2,1,6,3,5]=>[2,1,3]=>5
[4,2,1,6,5,3]=>[2,1,2,1]=>10
[4,2,3,1,5,6]=>[3,3]=>3
[4,2,3,1,6,5]=>[3,1,2]=>7
[4,2,3,5,1,6]=>[3,3]=>3
[4,2,3,5,6,1]=>[3,3]=>3
[4,2,3,6,1,5]=>[3,3]=>3
[4,2,3,6,5,1]=>[3,2,1]=>8
[4,2,5,1,3,6]=>[2,4]=>2
[4,2,5,1,6,3]=>[2,2,2]=>6
[4,2,5,3,1,6]=>[2,2,2]=>6
[4,2,5,3,6,1]=>[2,2,2]=>6
[4,2,5,6,1,3]=>[2,4]=>2
[4,2,5,6,3,1]=>[2,3,1]=>7
[4,2,6,1,3,5]=>[2,4]=>2
[4,2,6,1,5,3]=>[2,3,1]=>7
[4,2,6,3,1,5]=>[2,2,2]=>6
[4,2,6,3,5,1]=>[2,3,1]=>7
[4,2,6,5,1,3]=>[2,1,3]=>5
[4,2,6,5,3,1]=>[2,1,2,1]=>10
[4,3,1,2,5,6]=>[1,5]=>1
[4,3,1,2,6,5]=>[1,3,2]=>5
[4,3,1,5,2,6]=>[1,2,3]=>4
[4,3,1,5,6,2]=>[1,2,3]=>4
[4,3,1,6,2,5]=>[1,2,3]=>4
[4,3,1,6,5,2]=>[1,2,2,1]=>9
[4,3,2,1,5,6]=>[1,2,3]=>4
[4,3,2,1,6,5]=>[1,2,1,2]=>8
[4,3,2,5,1,6]=>[1,2,3]=>4
[4,3,2,5,6,1]=>[1,2,3]=>4
[4,3,2,6,1,5]=>[1,2,3]=>4
[4,3,2,6,5,1]=>[1,2,2,1]=>9
[4,3,5,1,2,6]=>[1,5]=>1
[4,3,5,1,6,2]=>[1,3,2]=>5
[4,3,5,2,1,6]=>[1,3,2]=>5
[4,3,5,2,6,1]=>[1,3,2]=>5
[4,3,5,6,1,2]=>[1,5]=>1
[4,3,5,6,2,1]=>[1,4,1]=>6
[4,3,6,1,2,5]=>[1,5]=>1
[4,3,6,1,5,2]=>[1,4,1]=>6
[4,3,6,2,1,5]=>[1,3,2]=>5
[4,3,6,2,5,1]=>[1,4,1]=>6
[4,3,6,5,1,2]=>[1,2,3]=>4
[4,3,6,5,2,1]=>[1,2,2,1]=>9
[4,5,1,2,3,6]=>[6]=>0
[4,5,1,2,6,3]=>[4,2]=>4
[4,5,1,3,2,6]=>[4,2]=>4
[4,5,1,3,6,2]=>[4,2]=>4
[4,5,1,6,2,3]=>[3,3]=>3
[4,5,1,6,3,2]=>[3,2,1]=>8
[4,5,2,1,3,6]=>[3,3]=>3
[4,5,2,1,6,3]=>[3,1,2]=>7
[4,5,2,3,1,6]=>[4,2]=>4
[4,5,2,3,6,1]=>[4,2]=>4
[4,5,2,6,1,3]=>[3,3]=>3
[4,5,2,6,3,1]=>[3,2,1]=>8
[4,5,3,1,2,6]=>[3,3]=>3
[4,5,3,1,6,2]=>[3,1,2]=>7
[4,5,3,2,1,6]=>[3,1,2]=>7
[4,5,3,2,6,1]=>[3,1,2]=>7
[4,5,3,6,1,2]=>[3,3]=>3
[4,5,3,6,2,1]=>[3,2,1]=>8
[4,5,6,1,2,3]=>[6]=>0
[4,5,6,1,3,2]=>[5,1]=>5
[4,5,6,2,1,3]=>[4,2]=>4
[4,5,6,2,3,1]=>[5,1]=>5
[4,5,6,3,1,2]=>[4,2]=>4
[4,5,6,3,2,1]=>[4,1,1]=>9
[4,6,1,2,3,5]=>[6]=>0
[4,6,1,2,5,3]=>[5,1]=>5
[4,6,1,3,2,5]=>[4,2]=>4
[4,6,1,3,5,2]=>[5,1]=>5
[4,6,1,5,2,3]=>[3,3]=>3
[4,6,1,5,3,2]=>[3,2,1]=>8
[4,6,2,1,3,5]=>[3,3]=>3
[4,6,2,1,5,3]=>[3,2,1]=>8
[4,6,2,3,1,5]=>[4,2]=>4
[4,6,2,3,5,1]=>[5,1]=>5
[4,6,2,5,1,3]=>[3,3]=>3
[4,6,2,5,3,1]=>[3,2,1]=>8
[4,6,3,1,2,5]=>[3,3]=>3
[4,6,3,1,5,2]=>[3,2,1]=>8
[4,6,3,2,1,5]=>[3,1,2]=>7
[4,6,3,2,5,1]=>[3,2,1]=>8
[4,6,3,5,1,2]=>[3,3]=>3
[4,6,3,5,2,1]=>[3,2,1]=>8
[4,6,5,1,2,3]=>[2,4]=>2
[4,6,5,1,3,2]=>[2,3,1]=>7
[4,6,5,2,1,3]=>[2,2,2]=>6
[4,6,5,2,3,1]=>[2,3,1]=>7
[4,6,5,3,1,2]=>[2,2,2]=>6
[4,6,5,3,2,1]=>[2,2,1,1]=>11
[5,1,2,3,4,6]=>[6]=>0
[5,1,2,3,6,4]=>[4,2]=>4
[5,1,2,4,3,6]=>[4,2]=>4
[5,1,2,4,6,3]=>[4,2]=>4
[5,1,2,6,3,4]=>[3,3]=>3
[5,1,2,6,4,3]=>[3,2,1]=>8
[5,1,3,2,4,6]=>[3,3]=>3
[5,1,3,2,6,4]=>[3,1,2]=>7
[5,1,3,4,2,6]=>[4,2]=>4
[5,1,3,4,6,2]=>[4,2]=>4
[5,1,3,6,2,4]=>[3,3]=>3
[5,1,3,6,4,2]=>[3,2,1]=>8
[5,1,4,2,3,6]=>[2,4]=>2
[5,1,4,2,6,3]=>[2,2,2]=>6
[5,1,4,3,2,6]=>[2,2,2]=>6
[5,1,4,3,6,2]=>[2,2,2]=>6
[5,1,4,6,2,3]=>[2,4]=>2
[5,1,4,6,3,2]=>[2,3,1]=>7
[5,1,6,2,3,4]=>[2,4]=>2
[5,1,6,2,4,3]=>[2,3,1]=>7
[5,1,6,3,2,4]=>[2,2,2]=>6
[5,1,6,3,4,2]=>[2,3,1]=>7
[5,1,6,4,2,3]=>[2,2,2]=>6
[5,1,6,4,3,2]=>[2,2,1,1]=>11
[5,2,1,3,4,6]=>[2,4]=>2
[5,2,1,3,6,4]=>[2,2,2]=>6
[5,2,1,4,3,6]=>[2,2,2]=>6
[5,2,1,4,6,3]=>[2,2,2]=>6
[5,2,1,6,3,4]=>[2,1,3]=>5
[5,2,1,6,4,3]=>[2,1,2,1]=>10
[5,2,3,1,4,6]=>[3,3]=>3
[5,2,3,1,6,4]=>[3,1,2]=>7
[5,2,3,4,1,6]=>[4,2]=>4
[5,2,3,4,6,1]=>[4,2]=>4
[5,2,3,6,1,4]=>[3,3]=>3
[5,2,3,6,4,1]=>[3,2,1]=>8
[5,2,4,1,3,6]=>[2,4]=>2
[5,2,4,1,6,3]=>[2,2,2]=>6
[5,2,4,3,1,6]=>[2,2,2]=>6
[5,2,4,3,6,1]=>[2,2,2]=>6
[5,2,4,6,1,3]=>[2,4]=>2
[5,2,4,6,3,1]=>[2,3,1]=>7
[5,2,6,1,3,4]=>[2,4]=>2
[5,2,6,1,4,3]=>[2,3,1]=>7
[5,2,6,3,1,4]=>[2,2,2]=>6
[5,2,6,3,4,1]=>[2,3,1]=>7
[5,2,6,4,1,3]=>[2,2,2]=>6
[5,2,6,4,3,1]=>[2,2,1,1]=>11
[5,3,1,2,4,6]=>[1,5]=>1
[5,3,1,2,6,4]=>[1,3,2]=>5
[5,3,1,4,2,6]=>[1,3,2]=>5
[5,3,1,4,6,2]=>[1,3,2]=>5
[5,3,1,6,2,4]=>[1,2,3]=>4
[5,3,1,6,4,2]=>[1,2,2,1]=>9
[5,3,2,1,4,6]=>[1,2,3]=>4
[5,3,2,1,6,4]=>[1,2,1,2]=>8
[5,3,2,4,1,6]=>[1,3,2]=>5
[5,3,2,4,6,1]=>[1,3,2]=>5
[5,3,2,6,1,4]=>[1,2,3]=>4
[5,3,2,6,4,1]=>[1,2,2,1]=>9
[5,3,4,1,2,6]=>[1,5]=>1
[5,3,4,1,6,2]=>[1,3,2]=>5
[5,3,4,2,1,6]=>[1,3,2]=>5
[5,3,4,2,6,1]=>[1,3,2]=>5
[5,3,4,6,1,2]=>[1,5]=>1
[5,3,4,6,2,1]=>[1,4,1]=>6
[5,3,6,1,2,4]=>[1,5]=>1
[5,3,6,1,4,2]=>[1,4,1]=>6
[5,3,6,2,1,4]=>[1,3,2]=>5
[5,3,6,2,4,1]=>[1,4,1]=>6
[5,3,6,4,1,2]=>[1,3,2]=>5
[5,3,6,4,2,1]=>[1,3,1,1]=>10
[5,4,1,2,3,6]=>[1,5]=>1
[5,4,1,2,6,3]=>[1,3,2]=>5
[5,4,1,3,2,6]=>[1,3,2]=>5
[5,4,1,3,6,2]=>[1,3,2]=>5
[5,4,1,6,2,3]=>[1,2,3]=>4
[5,4,1,6,3,2]=>[1,2,2,1]=>9
[5,4,2,1,3,6]=>[1,2,3]=>4
[5,4,2,1,6,3]=>[1,2,1,2]=>8
[5,4,2,3,1,6]=>[1,3,2]=>5
[5,4,2,3,6,1]=>[1,3,2]=>5
[5,4,2,6,1,3]=>[1,2,3]=>4
[5,4,2,6,3,1]=>[1,2,2,1]=>9
[5,4,3,1,2,6]=>[1,2,3]=>4
[5,4,3,1,6,2]=>[1,2,1,2]=>8
[5,4,3,2,1,6]=>[1,2,1,2]=>8
[5,4,3,2,6,1]=>[1,2,1,2]=>8
[5,4,3,6,1,2]=>[1,2,3]=>4
[5,4,3,6,2,1]=>[1,2,2,1]=>9
[5,4,6,1,2,3]=>[1,5]=>1
[5,4,6,1,3,2]=>[1,4,1]=>6
[5,4,6,2,1,3]=>[1,3,2]=>5
[5,4,6,2,3,1]=>[1,4,1]=>6
[5,4,6,3,1,2]=>[1,3,2]=>5
[5,4,6,3,2,1]=>[1,3,1,1]=>10
[5,6,1,2,3,4]=>[6]=>0
[5,6,1,2,4,3]=>[5,1]=>5
[5,6,1,3,2,4]=>[4,2]=>4
[5,6,1,3,4,2]=>[5,1]=>5
[5,6,1,4,2,3]=>[4,2]=>4
[5,6,1,4,3,2]=>[4,1,1]=>9
[5,6,2,1,3,4]=>[3,3]=>3
[5,6,2,1,4,3]=>[3,2,1]=>8
[5,6,2,3,1,4]=>[4,2]=>4
[5,6,2,3,4,1]=>[5,1]=>5
[5,6,2,4,1,3]=>[4,2]=>4
[5,6,2,4,3,1]=>[4,1,1]=>9
[5,6,3,1,2,4]=>[3,3]=>3
[5,6,3,1,4,2]=>[3,2,1]=>8
[5,6,3,2,1,4]=>[3,1,2]=>7
[5,6,3,2,4,1]=>[3,2,1]=>8
[5,6,3,4,1,2]=>[4,2]=>4
[5,6,3,4,2,1]=>[4,1,1]=>9
[5,6,4,1,2,3]=>[2,4]=>2
[5,6,4,1,3,2]=>[2,3,1]=>7
[5,6,4,2,1,3]=>[2,2,2]=>6
[5,6,4,2,3,1]=>[2,3,1]=>7
[5,6,4,3,1,2]=>[2,2,2]=>6
[5,6,4,3,2,1]=>[2,2,1,1]=>11
[6,1,2,3,4,5]=>[6]=>0
[6,1,2,3,5,4]=>[5,1]=>5
[6,1,2,4,3,5]=>[4,2]=>4
[6,1,2,4,5,3]=>[5,1]=>5
[6,1,2,5,3,4]=>[3,3]=>3
[6,1,2,5,4,3]=>[3,2,1]=>8
[6,1,3,2,4,5]=>[3,3]=>3
[6,1,3,2,5,4]=>[3,2,1]=>8
[6,1,3,4,2,5]=>[4,2]=>4
[6,1,3,4,5,2]=>[5,1]=>5
[6,1,3,5,2,4]=>[3,3]=>3
[6,1,3,5,4,2]=>[3,2,1]=>8
[6,1,4,2,3,5]=>[2,4]=>2
[6,1,4,2,5,3]=>[2,3,1]=>7
[6,1,4,3,2,5]=>[2,2,2]=>6
[6,1,4,3,5,2]=>[2,3,1]=>7
[6,1,4,5,2,3]=>[2,4]=>2
[6,1,4,5,3,2]=>[2,3,1]=>7
[6,1,5,2,3,4]=>[2,4]=>2
[6,1,5,2,4,3]=>[2,3,1]=>7
[6,1,5,3,2,4]=>[2,2,2]=>6
[6,1,5,3,4,2]=>[2,3,1]=>7
[6,1,5,4,2,3]=>[2,2,2]=>6
[6,1,5,4,3,2]=>[2,2,1,1]=>11
[6,2,1,3,4,5]=>[2,4]=>2
[6,2,1,3,5,4]=>[2,3,1]=>7
[6,2,1,4,3,5]=>[2,2,2]=>6
[6,2,1,4,5,3]=>[2,3,1]=>7
[6,2,1,5,3,4]=>[2,1,3]=>5
[6,2,1,5,4,3]=>[2,1,2,1]=>10
[6,2,3,1,4,5]=>[3,3]=>3
[6,2,3,1,5,4]=>[3,2,1]=>8
[6,2,3,4,1,5]=>[4,2]=>4
[6,2,3,4,5,1]=>[5,1]=>5
[6,2,3,5,1,4]=>[3,3]=>3
[6,2,3,5,4,1]=>[3,2,1]=>8
[6,2,4,1,3,5]=>[2,4]=>2
[6,2,4,1,5,3]=>[2,3,1]=>7
[6,2,4,3,1,5]=>[2,2,2]=>6
[6,2,4,3,5,1]=>[2,3,1]=>7
[6,2,4,5,1,3]=>[2,4]=>2
[6,2,4,5,3,1]=>[2,3,1]=>7
[6,2,5,1,3,4]=>[2,4]=>2
[6,2,5,1,4,3]=>[2,3,1]=>7
[6,2,5,3,1,4]=>[2,2,2]=>6
[6,2,5,3,4,1]=>[2,3,1]=>7
[6,2,5,4,1,3]=>[2,2,2]=>6
[6,2,5,4,3,1]=>[2,2,1,1]=>11
[6,3,1,2,4,5]=>[1,5]=>1
[6,3,1,2,5,4]=>[1,4,1]=>6
[6,3,1,4,2,5]=>[1,3,2]=>5
[6,3,1,4,5,2]=>[1,4,1]=>6
[6,3,1,5,2,4]=>[1,2,3]=>4
[6,3,1,5,4,2]=>[1,2,2,1]=>9
[6,3,2,1,4,5]=>[1,2,3]=>4
[6,3,2,1,5,4]=>[1,2,2,1]=>9
[6,3,2,4,1,5]=>[1,3,2]=>5
[6,3,2,4,5,1]=>[1,4,1]=>6
[6,3,2,5,1,4]=>[1,2,3]=>4
[6,3,2,5,4,1]=>[1,2,2,1]=>9
[6,3,4,1,2,5]=>[1,5]=>1
[6,3,4,1,5,2]=>[1,4,1]=>6
[6,3,4,2,1,5]=>[1,3,2]=>5
[6,3,4,2,5,1]=>[1,4,1]=>6
[6,3,4,5,1,2]=>[1,5]=>1
[6,3,4,5,2,1]=>[1,4,1]=>6
[6,3,5,1,2,4]=>[1,5]=>1
[6,3,5,1,4,2]=>[1,4,1]=>6
[6,3,5,2,1,4]=>[1,3,2]=>5
[6,3,5,2,4,1]=>[1,4,1]=>6
[6,3,5,4,1,2]=>[1,3,2]=>5
[6,3,5,4,2,1]=>[1,3,1,1]=>10
[6,4,1,2,3,5]=>[1,5]=>1
[6,4,1,2,5,3]=>[1,4,1]=>6
[6,4,1,3,2,5]=>[1,3,2]=>5
[6,4,1,3,5,2]=>[1,4,1]=>6
[6,4,1,5,2,3]=>[1,2,3]=>4
[6,4,1,5,3,2]=>[1,2,2,1]=>9
[6,4,2,1,3,5]=>[1,2,3]=>4
[6,4,2,1,5,3]=>[1,2,2,1]=>9
[6,4,2,3,1,5]=>[1,3,2]=>5
[6,4,2,3,5,1]=>[1,4,1]=>6
[6,4,2,5,1,3]=>[1,2,3]=>4
[6,4,2,5,3,1]=>[1,2,2,1]=>9
[6,4,3,1,2,5]=>[1,2,3]=>4
[6,4,3,1,5,2]=>[1,2,2,1]=>9
[6,4,3,2,1,5]=>[1,2,1,2]=>8
[6,4,3,2,5,1]=>[1,2,2,1]=>9
[6,4,3,5,1,2]=>[1,2,3]=>4
[6,4,3,5,2,1]=>[1,2,2,1]=>9
[6,4,5,1,2,3]=>[1,5]=>1
[6,4,5,1,3,2]=>[1,4,1]=>6
[6,4,5,2,1,3]=>[1,3,2]=>5
[6,4,5,2,3,1]=>[1,4,1]=>6
[6,4,5,3,1,2]=>[1,3,2]=>5
[6,4,5,3,2,1]=>[1,3,1,1]=>10
[6,5,1,2,3,4]=>[1,5]=>1
[6,5,1,2,4,3]=>[1,4,1]=>6
[6,5,1,3,2,4]=>[1,3,2]=>5
[6,5,1,3,4,2]=>[1,4,1]=>6
[6,5,1,4,2,3]=>[1,3,2]=>5
[6,5,1,4,3,2]=>[1,3,1,1]=>10
[6,5,2,1,3,4]=>[1,2,3]=>4
[6,5,2,1,4,3]=>[1,2,2,1]=>9
[6,5,2,3,1,4]=>[1,3,2]=>5
[6,5,2,3,4,1]=>[1,4,1]=>6
[6,5,2,4,1,3]=>[1,3,2]=>5
[6,5,2,4,3,1]=>[1,3,1,1]=>10
[6,5,3,1,2,4]=>[1,2,3]=>4
[6,5,3,1,4,2]=>[1,2,2,1]=>9
[6,5,3,2,1,4]=>[1,2,1,2]=>8
[6,5,3,2,4,1]=>[1,2,2,1]=>9
[6,5,3,4,1,2]=>[1,3,2]=>5
[6,5,3,4,2,1]=>[1,3,1,1]=>10
[6,5,4,1,2,3]=>[1,1,4]=>3
[6,5,4,1,3,2]=>[1,1,3,1]=>8
[6,5,4,2,1,3]=>[1,1,2,2]=>7
[6,5,4,2,3,1]=>[1,1,3,1]=>8
[6,5,4,3,1,2]=>[1,1,2,2]=>7
[6,5,4,3,2,1]=>[1,1,2,1,1]=>12
[1,2,3,4,5,6,7]=>[7]=>0
[1,2,3,4,5,7,6]=>[5,2]=>5
[1,2,3,4,6,5,7]=>[4,3]=>4
[1,2,3,4,6,7,5]=>[4,3]=>4
[1,2,3,4,7,5,6]=>[4,3]=>4
[1,2,3,4,7,6,5]=>[4,2,1]=>10
[1,2,3,5,4,6,7]=>[3,4]=>3
[1,2,3,5,4,7,6]=>[3,2,2]=>8
[1,2,3,5,6,4,7]=>[3,4]=>3
[1,2,3,5,6,7,4]=>[3,4]=>3
[1,2,3,5,7,4,6]=>[3,4]=>3
[1,2,3,5,7,6,4]=>[3,3,1]=>9
[1,2,3,6,4,5,7]=>[3,4]=>3
[1,2,3,6,4,7,5]=>[3,2,2]=>8
[1,2,3,6,5,4,7]=>[3,2,2]=>8
[1,2,3,6,5,7,4]=>[3,2,2]=>8
[1,2,3,6,7,4,5]=>[3,4]=>3
[1,2,3,6,7,5,4]=>[3,3,1]=>9
[1,2,3,7,4,5,6]=>[3,4]=>3
[1,2,3,7,4,6,5]=>[3,3,1]=>9
[1,2,3,7,5,4,6]=>[3,2,2]=>8
[1,2,3,7,5,6,4]=>[3,3,1]=>9
[1,2,3,7,6,4,5]=>[3,1,3]=>7
[1,2,3,7,6,5,4]=>[3,1,2,1]=>13
[1,2,4,3,5,6,7]=>[2,5]=>2
[1,2,4,3,5,7,6]=>[2,3,2]=>7
[1,2,4,3,6,5,7]=>[2,2,3]=>6
[1,2,4,3,6,7,5]=>[2,2,3]=>6
[1,2,4,3,7,5,6]=>[2,2,3]=>6
[1,2,4,3,7,6,5]=>[2,2,2,1]=>12
[1,2,4,5,3,6,7]=>[2,5]=>2
[1,2,4,5,3,7,6]=>[2,3,2]=>7
[1,2,4,5,6,3,7]=>[2,5]=>2
[1,2,4,5,6,7,3]=>[2,5]=>2
[1,2,4,5,7,3,6]=>[2,5]=>2
[1,2,4,5,7,6,3]=>[2,4,1]=>8
[1,2,4,6,3,5,7]=>[2,5]=>2
[1,2,4,6,3,7,5]=>[2,3,2]=>7
[1,2,4,6,5,3,7]=>[2,3,2]=>7
[1,2,4,6,5,7,3]=>[2,3,2]=>7
[1,2,4,6,7,3,5]=>[2,5]=>2
[1,2,4,6,7,5,3]=>[2,4,1]=>8
[1,2,4,7,3,5,6]=>[2,5]=>2
[1,2,4,7,3,6,5]=>[2,4,1]=>8
[1,2,4,7,5,3,6]=>[2,3,2]=>7
[1,2,4,7,5,6,3]=>[2,4,1]=>8
[1,2,4,7,6,3,5]=>[2,2,3]=>6
[1,2,4,7,6,5,3]=>[2,2,2,1]=>12
[1,2,5,3,4,6,7]=>[2,5]=>2
[1,2,5,3,4,7,6]=>[2,3,2]=>7
[1,2,5,3,6,4,7]=>[2,2,3]=>6
[1,2,5,3,6,7,4]=>[2,2,3]=>6
[1,2,5,3,7,4,6]=>[2,2,3]=>6
[1,2,5,3,7,6,4]=>[2,2,2,1]=>12
[1,2,5,4,3,6,7]=>[2,2,3]=>6
[1,2,5,4,3,7,6]=>[2,2,1,2]=>11
[1,2,5,4,6,3,7]=>[2,2,3]=>6
[1,2,5,4,6,7,3]=>[2,2,3]=>6
[1,2,5,4,7,3,6]=>[2,2,3]=>6
[1,2,5,4,7,6,3]=>[2,2,2,1]=>12
[1,2,5,6,3,4,7]=>[2,5]=>2
[1,2,5,6,3,7,4]=>[2,3,2]=>7
[1,2,5,6,4,3,7]=>[2,3,2]=>7
[1,2,5,6,4,7,3]=>[2,3,2]=>7
[1,2,5,6,7,3,4]=>[2,5]=>2
[1,2,5,6,7,4,3]=>[2,4,1]=>8
[1,2,5,7,3,4,6]=>[2,5]=>2
[1,2,5,7,3,6,4]=>[2,4,1]=>8
[1,2,5,7,4,3,6]=>[2,3,2]=>7
[1,2,5,7,4,6,3]=>[2,4,1]=>8
[1,2,5,7,6,3,4]=>[2,2,3]=>6
[1,2,5,7,6,4,3]=>[2,2,2,1]=>12
[1,2,6,3,4,5,7]=>[2,5]=>2
[1,2,6,3,4,7,5]=>[2,3,2]=>7
[1,2,6,3,5,4,7]=>[2,3,2]=>7
[1,2,6,3,5,7,4]=>[2,3,2]=>7
[1,2,6,3,7,4,5]=>[2,2,3]=>6
[1,2,6,3,7,5,4]=>[2,2,2,1]=>12
[1,2,6,4,3,5,7]=>[2,2,3]=>6
[1,2,6,4,3,7,5]=>[2,2,1,2]=>11
[1,2,6,4,5,3,7]=>[2,3,2]=>7
[1,2,6,4,5,7,3]=>[2,3,2]=>7
[1,2,6,4,7,3,5]=>[2,2,3]=>6
[1,2,6,4,7,5,3]=>[2,2,2,1]=>12
[1,2,6,5,3,4,7]=>[2,1,4]=>5
[1,2,6,5,3,7,4]=>[2,1,2,2]=>10
[1,2,6,5,4,3,7]=>[2,1,2,2]=>10
[1,2,6,5,4,7,3]=>[2,1,2,2]=>10
[1,2,6,5,7,3,4]=>[2,1,4]=>5
[1,2,6,5,7,4,3]=>[2,1,3,1]=>11
[1,2,6,7,3,4,5]=>[2,5]=>2
[1,2,6,7,3,5,4]=>[2,4,1]=>8
[1,2,6,7,4,3,5]=>[2,3,2]=>7
[1,2,6,7,4,5,3]=>[2,4,1]=>8
[1,2,6,7,5,3,4]=>[2,3,2]=>7
[1,2,6,7,5,4,3]=>[2,3,1,1]=>13
[1,2,7,3,4,5,6]=>[2,5]=>2
[1,2,7,3,4,6,5]=>[2,4,1]=>8
[1,2,7,3,5,4,6]=>[2,3,2]=>7
[1,2,7,3,5,6,4]=>[2,4,1]=>8
[1,2,7,3,6,4,5]=>[2,2,3]=>6
[1,2,7,3,6,5,4]=>[2,2,2,1]=>12
[1,2,7,4,3,5,6]=>[2,2,3]=>6
[1,2,7,4,3,6,5]=>[2,2,2,1]=>12
[1,2,7,4,5,3,6]=>[2,3,2]=>7
[1,2,7,4,5,6,3]=>[2,4,1]=>8
[1,2,7,4,6,3,5]=>[2,2,3]=>6
[1,2,7,4,6,5,3]=>[2,2,2,1]=>12
[1,2,7,5,3,4,6]=>[2,1,4]=>5
[1,2,7,5,3,6,4]=>[2,1,3,1]=>11
[1,2,7,5,4,3,6]=>[2,1,2,2]=>10
[1,2,7,5,4,6,3]=>[2,1,3,1]=>11
[1,2,7,5,6,3,4]=>[2,1,4]=>5
[1,2,7,5,6,4,3]=>[2,1,3,1]=>11
[1,2,7,6,3,4,5]=>[2,1,4]=>5
[1,2,7,6,3,5,4]=>[2,1,3,1]=>11
[1,2,7,6,4,3,5]=>[2,1,2,2]=>10
[1,2,7,6,4,5,3]=>[2,1,3,1]=>11
[1,2,7,6,5,3,4]=>[2,1,2,2]=>10
[1,2,7,6,5,4,3]=>[2,1,2,1,1]=>16
[1,3,2,4,5,6,7]=>[1,6]=>1
[1,3,2,4,5,7,6]=>[1,4,2]=>6
[1,3,2,4,6,5,7]=>[1,3,3]=>5
[1,3,2,4,6,7,5]=>[1,3,3]=>5
[1,3,2,4,7,5,6]=>[1,3,3]=>5
[1,3,2,4,7,6,5]=>[1,3,2,1]=>11
[1,3,2,5,4,6,7]=>[1,2,4]=>4
[1,3,2,5,4,7,6]=>[1,2,2,2]=>9
[1,3,2,5,6,4,7]=>[1,2,4]=>4
[1,3,2,5,6,7,4]=>[1,2,4]=>4
[1,3,2,5,7,4,6]=>[1,2,4]=>4
[1,3,2,5,7,6,4]=>[1,2,3,1]=>10
[1,3,2,6,4,5,7]=>[1,2,4]=>4
[1,3,2,6,4,7,5]=>[1,2,2,2]=>9
[1,3,2,6,5,4,7]=>[1,2,2,2]=>9
[1,3,2,6,5,7,4]=>[1,2,2,2]=>9
[1,3,2,6,7,4,5]=>[1,2,4]=>4
[1,3,2,6,7,5,4]=>[1,2,3,1]=>10
[1,3,2,7,4,5,6]=>[1,2,4]=>4
[1,3,2,7,4,6,5]=>[1,2,3,1]=>10
[1,3,2,7,5,4,6]=>[1,2,2,2]=>9
[1,3,2,7,5,6,4]=>[1,2,3,1]=>10
[1,3,2,7,6,4,5]=>[1,2,1,3]=>8
[1,3,2,7,6,5,4]=>[1,2,1,2,1]=>14
[1,3,4,2,5,6,7]=>[1,6]=>1
[1,3,4,2,5,7,6]=>[1,4,2]=>6
[1,3,4,2,6,5,7]=>[1,3,3]=>5
[1,3,4,2,6,7,5]=>[1,3,3]=>5
[1,3,4,2,7,5,6]=>[1,3,3]=>5
[1,3,4,2,7,6,5]=>[1,3,2,1]=>11
[1,3,4,5,2,6,7]=>[1,6]=>1
[1,3,4,5,2,7,6]=>[1,4,2]=>6
[1,3,4,5,6,2,7]=>[1,6]=>1
[1,3,4,5,6,7,2]=>[1,6]=>1
[1,3,4,5,7,2,6]=>[1,6]=>1
[1,3,4,5,7,6,2]=>[1,5,1]=>7
[1,3,4,6,2,5,7]=>[1,6]=>1
[1,3,4,6,2,7,5]=>[1,4,2]=>6
[1,3,4,6,5,2,7]=>[1,4,2]=>6
[1,3,4,6,5,7,2]=>[1,4,2]=>6
[1,3,4,6,7,2,5]=>[1,6]=>1
[1,3,4,6,7,5,2]=>[1,5,1]=>7
[1,3,4,7,2,5,6]=>[1,6]=>1
[1,3,4,7,2,6,5]=>[1,5,1]=>7
[1,3,4,7,5,2,6]=>[1,4,2]=>6
[1,3,4,7,5,6,2]=>[1,5,1]=>7
[1,3,4,7,6,2,5]=>[1,3,3]=>5
[1,3,4,7,6,5,2]=>[1,3,2,1]=>11
[1,3,5,2,4,6,7]=>[1,6]=>1
[1,3,5,2,4,7,6]=>[1,4,2]=>6
[1,3,5,2,6,4,7]=>[1,3,3]=>5
[1,3,5,2,6,7,4]=>[1,3,3]=>5
[1,3,5,2,7,4,6]=>[1,3,3]=>5
[1,3,5,2,7,6,4]=>[1,3,2,1]=>11
[1,3,5,4,2,6,7]=>[1,3,3]=>5
[1,3,5,4,2,7,6]=>[1,3,1,2]=>10
[1,3,5,4,6,2,7]=>[1,3,3]=>5
[1,3,5,4,6,7,2]=>[1,3,3]=>5
[1,3,5,4,7,2,6]=>[1,3,3]=>5
[1,3,5,4,7,6,2]=>[1,3,2,1]=>11
[1,3,5,6,2,4,7]=>[1,6]=>1
[1,3,5,6,2,7,4]=>[1,4,2]=>6
[1,3,5,6,4,2,7]=>[1,4,2]=>6
[1,3,5,6,4,7,2]=>[1,4,2]=>6
[1,3,5,6,7,2,4]=>[1,6]=>1
[1,3,5,6,7,4,2]=>[1,5,1]=>7
[1,3,5,7,2,4,6]=>[1,6]=>1
[1,3,5,7,2,6,4]=>[1,5,1]=>7
[1,3,5,7,4,2,6]=>[1,4,2]=>6
[1,3,5,7,4,6,2]=>[1,5,1]=>7
[1,3,5,7,6,2,4]=>[1,3,3]=>5
[1,3,5,7,6,4,2]=>[1,3,2,1]=>11
[1,3,6,2,4,5,7]=>[1,6]=>1
[1,3,6,2,4,7,5]=>[1,4,2]=>6
[1,3,6,2,5,4,7]=>[1,4,2]=>6
[1,3,6,2,5,7,4]=>[1,4,2]=>6
[1,3,6,2,7,4,5]=>[1,3,3]=>5
[1,3,6,2,7,5,4]=>[1,3,2,1]=>11
[1,3,6,4,2,5,7]=>[1,3,3]=>5
[1,3,6,4,2,7,5]=>[1,3,1,2]=>10
[1,3,6,4,5,2,7]=>[1,4,2]=>6
[1,3,6,4,5,7,2]=>[1,4,2]=>6
[1,3,6,4,7,2,5]=>[1,3,3]=>5
[1,3,6,4,7,5,2]=>[1,3,2,1]=>11
[1,3,6,5,2,4,7]=>[1,2,4]=>4
[1,3,6,5,2,7,4]=>[1,2,2,2]=>9
[1,3,6,5,4,2,7]=>[1,2,2,2]=>9
[1,3,6,5,4,7,2]=>[1,2,2,2]=>9
[1,3,6,5,7,2,4]=>[1,2,4]=>4
[1,3,6,5,7,4,2]=>[1,2,3,1]=>10
[1,3,6,7,2,4,5]=>[1,6]=>1
[1,3,6,7,2,5,4]=>[1,5,1]=>7
[1,3,6,7,4,2,5]=>[1,4,2]=>6
[1,3,6,7,4,5,2]=>[1,5,1]=>7
[1,3,6,7,5,2,4]=>[1,4,2]=>6
[1,3,6,7,5,4,2]=>[1,4,1,1]=>12
[1,3,7,2,4,5,6]=>[1,6]=>1
[1,3,7,2,4,6,5]=>[1,5,1]=>7
[1,3,7,2,5,4,6]=>[1,4,2]=>6
[1,3,7,2,5,6,4]=>[1,5,1]=>7
[1,3,7,2,6,4,5]=>[1,3,3]=>5
[1,3,7,2,6,5,4]=>[1,3,2,1]=>11
[1,3,7,4,2,5,6]=>[1,3,3]=>5
[1,3,7,4,2,6,5]=>[1,3,2,1]=>11
[1,3,7,4,5,2,6]=>[1,4,2]=>6
[1,3,7,4,5,6,2]=>[1,5,1]=>7
[1,3,7,4,6,2,5]=>[1,3,3]=>5
[1,3,7,4,6,5,2]=>[1,3,2,1]=>11
[1,3,7,5,2,4,6]=>[1,2,4]=>4
[1,3,7,5,2,6,4]=>[1,2,3,1]=>10
[1,3,7,5,4,2,6]=>[1,2,2,2]=>9
[1,3,7,5,4,6,2]=>[1,2,3,1]=>10
[1,3,7,5,6,2,4]=>[1,2,4]=>4
[1,3,7,5,6,4,2]=>[1,2,3,1]=>10
[1,3,7,6,2,4,5]=>[1,2,4]=>4
[1,3,7,6,2,5,4]=>[1,2,3,1]=>10
[1,3,7,6,4,2,5]=>[1,2,2,2]=>9
[1,3,7,6,4,5,2]=>[1,2,3,1]=>10
[1,3,7,6,5,2,4]=>[1,2,2,2]=>9
[1,3,7,6,5,4,2]=>[1,2,2,1,1]=>15
[1,4,2,3,5,6,7]=>[1,6]=>1
[1,4,2,3,5,7,6]=>[1,4,2]=>6
[1,4,2,3,6,5,7]=>[1,3,3]=>5
[1,4,2,3,6,7,5]=>[1,3,3]=>5
[1,4,2,3,7,5,6]=>[1,3,3]=>5
[1,4,2,3,7,6,5]=>[1,3,2,1]=>11
[1,4,2,5,3,6,7]=>[1,2,4]=>4
[1,4,2,5,3,7,6]=>[1,2,2,2]=>9
[1,4,2,5,6,3,7]=>[1,2,4]=>4
[1,4,2,5,6,7,3]=>[1,2,4]=>4
[1,4,2,5,7,3,6]=>[1,2,4]=>4
[1,4,2,5,7,6,3]=>[1,2,3,1]=>10
[1,4,2,6,3,5,7]=>[1,2,4]=>4
[1,4,2,6,3,7,5]=>[1,2,2,2]=>9
[1,4,2,6,5,3,7]=>[1,2,2,2]=>9
[1,4,2,6,5,7,3]=>[1,2,2,2]=>9
[1,4,2,6,7,3,5]=>[1,2,4]=>4
[1,4,2,6,7,5,3]=>[1,2,3,1]=>10
[1,4,2,7,3,5,6]=>[1,2,4]=>4
[1,4,2,7,3,6,5]=>[1,2,3,1]=>10
[1,4,2,7,5,3,6]=>[1,2,2,2]=>9
[1,4,2,7,5,6,3]=>[1,2,3,1]=>10
[1,4,2,7,6,3,5]=>[1,2,1,3]=>8
[1,4,2,7,6,5,3]=>[1,2,1,2,1]=>14
[1,4,3,2,5,6,7]=>[1,2,4]=>4
[1,4,3,2,5,7,6]=>[1,2,2,2]=>9
[1,4,3,2,6,5,7]=>[1,2,1,3]=>8
[1,4,3,2,6,7,5]=>[1,2,1,3]=>8
[1,4,3,2,7,5,6]=>[1,2,1,3]=>8
[1,4,3,2,7,6,5]=>[1,2,1,2,1]=>14
[1,4,3,5,2,6,7]=>[1,2,4]=>4
[1,4,3,5,2,7,6]=>[1,2,2,2]=>9
[1,4,3,5,6,2,7]=>[1,2,4]=>4
[1,4,3,5,6,7,2]=>[1,2,4]=>4
[1,4,3,5,7,2,6]=>[1,2,4]=>4
[1,4,3,5,7,6,2]=>[1,2,3,1]=>10
[1,4,3,6,2,5,7]=>[1,2,4]=>4
[1,4,3,6,2,7,5]=>[1,2,2,2]=>9
[1,4,3,6,5,2,7]=>[1,2,2,2]=>9
[1,4,3,6,5,7,2]=>[1,2,2,2]=>9
[1,4,3,6,7,2,5]=>[1,2,4]=>4
[1,4,3,6,7,5,2]=>[1,2,3,1]=>10
[1,4,3,7,2,5,6]=>[1,2,4]=>4
[1,4,3,7,2,6,5]=>[1,2,3,1]=>10
[1,4,3,7,5,2,6]=>[1,2,2,2]=>9
[1,4,3,7,5,6,2]=>[1,2,3,1]=>10
[1,4,3,7,6,2,5]=>[1,2,1,3]=>8
[1,4,3,7,6,5,2]=>[1,2,1,2,1]=>14
[1,4,5,2,3,6,7]=>[1,6]=>1
[1,4,5,2,3,7,6]=>[1,4,2]=>6
[1,4,5,2,6,3,7]=>[1,3,3]=>5
[1,4,5,2,6,7,3]=>[1,3,3]=>5
[1,4,5,2,7,3,6]=>[1,3,3]=>5
[1,4,5,2,7,6,3]=>[1,3,2,1]=>11
[1,4,5,3,2,6,7]=>[1,3,3]=>5
[1,4,5,3,2,7,6]=>[1,3,1,2]=>10
[1,4,5,3,6,2,7]=>[1,3,3]=>5
[1,4,5,3,6,7,2]=>[1,3,3]=>5
[1,4,5,3,7,2,6]=>[1,3,3]=>5
[1,4,5,3,7,6,2]=>[1,3,2,1]=>11
[1,4,5,6,2,3,7]=>[1,6]=>1
[1,4,5,6,2,7,3]=>[1,4,2]=>6
[1,4,5,6,3,2,7]=>[1,4,2]=>6
[1,4,5,6,3,7,2]=>[1,4,2]=>6
[1,4,5,6,7,2,3]=>[1,6]=>1
[1,4,5,6,7,3,2]=>[1,5,1]=>7
[1,4,5,7,2,3,6]=>[1,6]=>1
[1,4,5,7,2,6,3]=>[1,5,1]=>7
[1,4,5,7,3,2,6]=>[1,4,2]=>6
[1,4,5,7,3,6,2]=>[1,5,1]=>7
[1,4,5,7,6,2,3]=>[1,3,3]=>5
[1,4,5,7,6,3,2]=>[1,3,2,1]=>11
[1,4,6,2,3,5,7]=>[1,6]=>1
[1,4,6,2,3,7,5]=>[1,4,2]=>6
[1,4,6,2,5,3,7]=>[1,4,2]=>6
[1,4,6,2,5,7,3]=>[1,4,2]=>6
[1,4,6,2,7,3,5]=>[1,3,3]=>5
[1,4,6,2,7,5,3]=>[1,3,2,1]=>11
[1,4,6,3,2,5,7]=>[1,3,3]=>5
[1,4,6,3,2,7,5]=>[1,3,1,2]=>10
[1,4,6,3,5,2,7]=>[1,4,2]=>6
[1,4,6,3,5,7,2]=>[1,4,2]=>6
[1,4,6,3,7,2,5]=>[1,3,3]=>5
[1,4,6,3,7,5,2]=>[1,3,2,1]=>11
[1,4,6,5,2,3,7]=>[1,2,4]=>4
[1,4,6,5,2,7,3]=>[1,2,2,2]=>9
[1,4,6,5,3,2,7]=>[1,2,2,2]=>9
[1,4,6,5,3,7,2]=>[1,2,2,2]=>9
[1,4,6,5,7,2,3]=>[1,2,4]=>4
[1,4,6,5,7,3,2]=>[1,2,3,1]=>10
[1,4,6,7,2,3,5]=>[1,6]=>1
[1,4,6,7,2,5,3]=>[1,5,1]=>7
[1,4,6,7,3,2,5]=>[1,4,2]=>6
[1,4,6,7,3,5,2]=>[1,5,1]=>7
[1,4,6,7,5,2,3]=>[1,4,2]=>6
[1,4,6,7,5,3,2]=>[1,4,1,1]=>12
[1,4,7,2,3,5,6]=>[1,6]=>1
[1,4,7,2,3,6,5]=>[1,5,1]=>7
[1,4,7,2,5,3,6]=>[1,4,2]=>6
[1,4,7,2,5,6,3]=>[1,5,1]=>7
[1,4,7,2,6,3,5]=>[1,3,3]=>5
[1,4,7,2,6,5,3]=>[1,3,2,1]=>11
[1,4,7,3,2,5,6]=>[1,3,3]=>5
[1,4,7,3,2,6,5]=>[1,3,2,1]=>11
[1,4,7,3,5,2,6]=>[1,4,2]=>6
[1,4,7,3,5,6,2]=>[1,5,1]=>7
[1,4,7,3,6,2,5]=>[1,3,3]=>5
[1,4,7,3,6,5,2]=>[1,3,2,1]=>11
[1,4,7,5,2,3,6]=>[1,2,4]=>4
[1,4,7,5,2,6,3]=>[1,2,3,1]=>10
[1,4,7,5,3,2,6]=>[1,2,2,2]=>9
[1,4,7,5,3,6,2]=>[1,2,3,1]=>10
[1,4,7,5,6,2,3]=>[1,2,4]=>4
[1,4,7,5,6,3,2]=>[1,2,3,1]=>10
[1,4,7,6,2,3,5]=>[1,2,4]=>4
[1,4,7,6,2,5,3]=>[1,2,3,1]=>10
[1,4,7,6,3,2,5]=>[1,2,2,2]=>9
[1,4,7,6,3,5,2]=>[1,2,3,1]=>10
[1,4,7,6,5,2,3]=>[1,2,2,2]=>9
[1,4,7,6,5,3,2]=>[1,2,2,1,1]=>15
[1,5,2,3,4,6,7]=>[1,6]=>1
[1,5,2,3,4,7,6]=>[1,4,2]=>6
[1,5,2,3,6,4,7]=>[1,3,3]=>5
[1,5,2,3,6,7,4]=>[1,3,3]=>5
[1,5,2,3,7,4,6]=>[1,3,3]=>5
[1,5,2,3,7,6,4]=>[1,3,2,1]=>11
[1,5,2,4,3,6,7]=>[1,3,3]=>5
[1,5,2,4,3,7,6]=>[1,3,1,2]=>10
[1,5,2,4,6,3,7]=>[1,3,3]=>5
[1,5,2,4,6,7,3]=>[1,3,3]=>5
[1,5,2,4,7,3,6]=>[1,3,3]=>5
[1,5,2,4,7,6,3]=>[1,3,2,1]=>11
[1,5,2,6,3,4,7]=>[1,2,4]=>4
[1,5,2,6,3,7,4]=>[1,2,2,2]=>9
[1,5,2,6,4,3,7]=>[1,2,2,2]=>9
[1,5,2,6,4,7,3]=>[1,2,2,2]=>9
[1,5,2,6,7,3,4]=>[1,2,4]=>4
[1,5,2,6,7,4,3]=>[1,2,3,1]=>10
[1,5,2,7,3,4,6]=>[1,2,4]=>4
[1,5,2,7,3,6,4]=>[1,2,3,1]=>10
[1,5,2,7,4,3,6]=>[1,2,2,2]=>9
[1,5,2,7,4,6,3]=>[1,2,3,1]=>10
[1,5,2,7,6,3,4]=>[1,2,1,3]=>8
[1,5,2,7,6,4,3]=>[1,2,1,2,1]=>14
[1,5,3,2,4,6,7]=>[1,2,4]=>4
[1,5,3,2,4,7,6]=>[1,2,2,2]=>9
[1,5,3,2,6,4,7]=>[1,2,1,3]=>8
[1,5,3,2,6,7,4]=>[1,2,1,3]=>8
[1,5,3,2,7,4,6]=>[1,2,1,3]=>8
[1,5,3,2,7,6,4]=>[1,2,1,2,1]=>14
[1,5,3,4,2,6,7]=>[1,3,3]=>5
[1,5,3,4,2,7,6]=>[1,3,1,2]=>10
[1,5,3,4,6,2,7]=>[1,3,3]=>5
[1,5,3,4,6,7,2]=>[1,3,3]=>5
[1,5,3,4,7,2,6]=>[1,3,3]=>5
[1,5,3,4,7,6,2]=>[1,3,2,1]=>11
[1,5,3,6,2,4,7]=>[1,2,4]=>4
[1,5,3,6,2,7,4]=>[1,2,2,2]=>9
[1,5,3,6,4,2,7]=>[1,2,2,2]=>9
[1,5,3,6,4,7,2]=>[1,2,2,2]=>9
[1,5,3,6,7,2,4]=>[1,2,4]=>4
[1,5,3,6,7,4,2]=>[1,2,3,1]=>10
[1,5,3,7,2,4,6]=>[1,2,4]=>4
[1,5,3,7,2,6,4]=>[1,2,3,1]=>10
[1,5,3,7,4,2,6]=>[1,2,2,2]=>9
[1,5,3,7,4,6,2]=>[1,2,3,1]=>10
[1,5,3,7,6,2,4]=>[1,2,1,3]=>8
[1,5,3,7,6,4,2]=>[1,2,1,2,1]=>14
[1,5,4,2,3,6,7]=>[1,1,5]=>3
[1,5,4,2,3,7,6]=>[1,1,3,2]=>8
[1,5,4,2,6,3,7]=>[1,1,2,3]=>7
[1,5,4,2,6,7,3]=>[1,1,2,3]=>7
[1,5,4,2,7,3,6]=>[1,1,2,3]=>7
[1,5,4,2,7,6,3]=>[1,1,2,2,1]=>13
[1,5,4,3,2,6,7]=>[1,1,2,3]=>7
[1,5,4,3,2,7,6]=>[1,1,2,1,2]=>12
[1,5,4,3,6,2,7]=>[1,1,2,3]=>7
[1,5,4,3,6,7,2]=>[1,1,2,3]=>7
[1,5,4,3,7,2,6]=>[1,1,2,3]=>7
[1,5,4,3,7,6,2]=>[1,1,2,2,1]=>13
[1,5,4,6,2,3,7]=>[1,1,5]=>3
[1,5,4,6,2,7,3]=>[1,1,3,2]=>8
[1,5,4,6,3,2,7]=>[1,1,3,2]=>8
[1,5,4,6,3,7,2]=>[1,1,3,2]=>8
[1,5,4,6,7,2,3]=>[1,1,5]=>3
[1,5,4,6,7,3,2]=>[1,1,4,1]=>9
[1,5,4,7,2,3,6]=>[1,1,5]=>3
[1,5,4,7,2,6,3]=>[1,1,4,1]=>9
[1,5,4,7,3,2,6]=>[1,1,3,2]=>8
[1,5,4,7,3,6,2]=>[1,1,4,1]=>9
[1,5,4,7,6,2,3]=>[1,1,2,3]=>7
[1,5,4,7,6,3,2]=>[1,1,2,2,1]=>13
[1,5,6,2,3,4,7]=>[1,6]=>1
[1,5,6,2,3,7,4]=>[1,4,2]=>6
[1,5,6,2,4,3,7]=>[1,4,2]=>6
[1,5,6,2,4,7,3]=>[1,4,2]=>6
[1,5,6,2,7,3,4]=>[1,3,3]=>5
[1,5,6,2,7,4,3]=>[1,3,2,1]=>11
[1,5,6,3,2,4,7]=>[1,3,3]=>5
[1,5,6,3,2,7,4]=>[1,3,1,2]=>10
[1,5,6,3,4,2,7]=>[1,4,2]=>6
[1,5,6,3,4,7,2]=>[1,4,2]=>6
[1,5,6,3,7,2,4]=>[1,3,3]=>5
[1,5,6,3,7,4,2]=>[1,3,2,1]=>11
[1,5,6,4,2,3,7]=>[1,3,3]=>5
[1,5,6,4,2,7,3]=>[1,3,1,2]=>10
[1,5,6,4,3,2,7]=>[1,3,1,2]=>10
[1,5,6,4,3,7,2]=>[1,3,1,2]=>10
[1,5,6,4,7,2,3]=>[1,3,3]=>5
[1,5,6,4,7,3,2]=>[1,3,2,1]=>11
[1,5,6,7,2,3,4]=>[1,6]=>1
[1,5,6,7,2,4,3]=>[1,5,1]=>7
[1,5,6,7,3,2,4]=>[1,4,2]=>6
[1,5,6,7,3,4,2]=>[1,5,1]=>7
[1,5,6,7,4,2,3]=>[1,4,2]=>6
[1,5,6,7,4,3,2]=>[1,4,1,1]=>12
[1,5,7,2,3,4,6]=>[1,6]=>1
[1,5,7,2,3,6,4]=>[1,5,1]=>7
[1,5,7,2,4,3,6]=>[1,4,2]=>6
[1,5,7,2,4,6,3]=>[1,5,1]=>7
[1,5,7,2,6,3,4]=>[1,3,3]=>5
[1,5,7,2,6,4,3]=>[1,3,2,1]=>11
[1,5,7,3,2,4,6]=>[1,3,3]=>5
[1,5,7,3,2,6,4]=>[1,3,2,1]=>11
[1,5,7,3,4,2,6]=>[1,4,2]=>6
[1,5,7,3,4,6,2]=>[1,5,1]=>7
[1,5,7,3,6,2,4]=>[1,3,3]=>5
[1,5,7,3,6,4,2]=>[1,3,2,1]=>11
[1,5,7,4,2,3,6]=>[1,3,3]=>5
[1,5,7,4,2,6,3]=>[1,3,2,1]=>11
[1,5,7,4,3,2,6]=>[1,3,1,2]=>10
[1,5,7,4,3,6,2]=>[1,3,2,1]=>11
[1,5,7,4,6,2,3]=>[1,3,3]=>5
[1,5,7,4,6,3,2]=>[1,3,2,1]=>11
[1,5,7,6,2,3,4]=>[1,2,4]=>4
[1,5,7,6,2,4,3]=>[1,2,3,1]=>10
[1,5,7,6,3,2,4]=>[1,2,2,2]=>9
[1,5,7,6,3,4,2]=>[1,2,3,1]=>10
[1,5,7,6,4,2,3]=>[1,2,2,2]=>9
[1,5,7,6,4,3,2]=>[1,2,2,1,1]=>15
[1,6,2,3,4,5,7]=>[1,6]=>1
[1,6,2,3,4,7,5]=>[1,4,2]=>6
[1,6,2,3,5,4,7]=>[1,4,2]=>6
[1,6,2,3,5,7,4]=>[1,4,2]=>6
[1,6,2,3,7,4,5]=>[1,3,3]=>5
[1,6,2,3,7,5,4]=>[1,3,2,1]=>11
[1,6,2,4,3,5,7]=>[1,3,3]=>5
[1,6,2,4,3,7,5]=>[1,3,1,2]=>10
[1,6,2,4,5,3,7]=>[1,4,2]=>6
[1,6,2,4,5,7,3]=>[1,4,2]=>6
[1,6,2,4,7,3,5]=>[1,3,3]=>5
[1,6,2,4,7,5,3]=>[1,3,2,1]=>11
[1,6,2,5,3,4,7]=>[1,2,4]=>4
[1,6,2,5,3,7,4]=>[1,2,2,2]=>9
[1,6,2,5,4,3,7]=>[1,2,2,2]=>9
[1,6,2,5,4,7,3]=>[1,2,2,2]=>9
[1,6,2,5,7,3,4]=>[1,2,4]=>4
[1,6,2,5,7,4,3]=>[1,2,3,1]=>10
[1,6,2,7,3,4,5]=>[1,2,4]=>4
[1,6,2,7,3,5,4]=>[1,2,3,1]=>10
[1,6,2,7,4,3,5]=>[1,2,2,2]=>9
[1,6,2,7,4,5,3]=>[1,2,3,1]=>10
[1,6,2,7,5,3,4]=>[1,2,2,2]=>9
[1,6,2,7,5,4,3]=>[1,2,2,1,1]=>15
[1,6,3,2,4,5,7]=>[1,2,4]=>4
[1,6,3,2,4,7,5]=>[1,2,2,2]=>9
[1,6,3,2,5,4,7]=>[1,2,2,2]=>9
[1,6,3,2,5,7,4]=>[1,2,2,2]=>9
[1,6,3,2,7,4,5]=>[1,2,1,3]=>8
[1,6,3,2,7,5,4]=>[1,2,1,2,1]=>14
[1,6,3,4,2,5,7]=>[1,3,3]=>5
[1,6,3,4,2,7,5]=>[1,3,1,2]=>10
[1,6,3,4,5,2,7]=>[1,4,2]=>6
[1,6,3,4,5,7,2]=>[1,4,2]=>6
[1,6,3,4,7,2,5]=>[1,3,3]=>5
[1,6,3,4,7,5,2]=>[1,3,2,1]=>11
[1,6,3,5,2,4,7]=>[1,2,4]=>4
[1,6,3,5,2,7,4]=>[1,2,2,2]=>9
[1,6,3,5,4,2,7]=>[1,2,2,2]=>9
[1,6,3,5,4,7,2]=>[1,2,2,2]=>9
[1,6,3,5,7,2,4]=>[1,2,4]=>4
[1,6,3,5,7,4,2]=>[1,2,3,1]=>10
[1,6,3,7,2,4,5]=>[1,2,4]=>4
[1,6,3,7,2,5,4]=>[1,2,3,1]=>10
[1,6,3,7,4,2,5]=>[1,2,2,2]=>9
[1,6,3,7,4,5,2]=>[1,2,3,1]=>10
[1,6,3,7,5,2,4]=>[1,2,2,2]=>9
[1,6,3,7,5,4,2]=>[1,2,2,1,1]=>15
[1,6,4,2,3,5,7]=>[1,1,5]=>3
[1,6,4,2,3,7,5]=>[1,1,3,2]=>8
[1,6,4,2,5,3,7]=>[1,1,3,2]=>8
[1,6,4,2,5,7,3]=>[1,1,3,2]=>8
[1,6,4,2,7,3,5]=>[1,1,2,3]=>7
[1,6,4,2,7,5,3]=>[1,1,2,2,1]=>13
[1,6,4,3,2,5,7]=>[1,1,2,3]=>7
[1,6,4,3,2,7,5]=>[1,1,2,1,2]=>12
[1,6,4,3,5,2,7]=>[1,1,3,2]=>8
[1,6,4,3,5,7,2]=>[1,1,3,2]=>8
[1,6,4,3,7,2,5]=>[1,1,2,3]=>7
[1,6,4,3,7,5,2]=>[1,1,2,2,1]=>13
[1,6,4,5,2,3,7]=>[1,1,5]=>3
[1,6,4,5,2,7,3]=>[1,1,3,2]=>8
[1,6,4,5,3,2,7]=>[1,1,3,2]=>8
[1,6,4,5,3,7,2]=>[1,1,3,2]=>8
[1,6,4,5,7,2,3]=>[1,1,5]=>3
[1,6,4,5,7,3,2]=>[1,1,4,1]=>9
[1,6,4,7,2,3,5]=>[1,1,5]=>3
[1,6,4,7,2,5,3]=>[1,1,4,1]=>9
[1,6,4,7,3,2,5]=>[1,1,3,2]=>8
[1,6,4,7,3,5,2]=>[1,1,4,1]=>9
[1,6,4,7,5,2,3]=>[1,1,3,2]=>8
[1,6,4,7,5,3,2]=>[1,1,3,1,1]=>14
[1,6,5,2,3,4,7]=>[1,1,5]=>3
[1,6,5,2,3,7,4]=>[1,1,3,2]=>8
[1,6,5,2,4,3,7]=>[1,1,3,2]=>8
[1,6,5,2,4,7,3]=>[1,1,3,2]=>8
[1,6,5,2,7,3,4]=>[1,1,2,3]=>7
[1,6,5,2,7,4,3]=>[1,1,2,2,1]=>13
[1,6,5,3,2,4,7]=>[1,1,2,3]=>7
[1,6,5,3,2,7,4]=>[1,1,2,1,2]=>12
[1,6,5,3,4,2,7]=>[1,1,3,2]=>8
[1,6,5,3,4,7,2]=>[1,1,3,2]=>8
[1,6,5,3,7,2,4]=>[1,1,2,3]=>7
[1,6,5,3,7,4,2]=>[1,1,2,2,1]=>13
[1,6,5,4,2,3,7]=>[1,1,2,3]=>7
[1,6,5,4,2,7,3]=>[1,1,2,1,2]=>12
[1,6,5,4,3,2,7]=>[1,1,2,1,2]=>12
[1,6,5,4,3,7,2]=>[1,1,2,1,2]=>12
[1,6,5,4,7,2,3]=>[1,1,2,3]=>7
[1,6,5,4,7,3,2]=>[1,1,2,2,1]=>13
[1,6,5,7,2,3,4]=>[1,1,5]=>3
[1,6,5,7,2,4,3]=>[1,1,4,1]=>9
[1,6,5,7,3,2,4]=>[1,1,3,2]=>8
[1,6,5,7,3,4,2]=>[1,1,4,1]=>9
[1,6,5,7,4,2,3]=>[1,1,3,2]=>8
[1,6,5,7,4,3,2]=>[1,1,3,1,1]=>14
[1,6,7,2,3,4,5]=>[1,6]=>1
[1,6,7,2,3,5,4]=>[1,5,1]=>7
[1,6,7,2,4,3,5]=>[1,4,2]=>6
[1,6,7,2,4,5,3]=>[1,5,1]=>7
[1,6,7,2,5,3,4]=>[1,4,2]=>6
[1,6,7,2,5,4,3]=>[1,4,1,1]=>12
[1,6,7,3,2,4,5]=>[1,3,3]=>5
[1,6,7,3,2,5,4]=>[1,3,2,1]=>11
[1,6,7,3,4,2,5]=>[1,4,2]=>6
[1,6,7,3,4,5,2]=>[1,5,1]=>7
[1,6,7,3,5,2,4]=>[1,4,2]=>6
[1,6,7,3,5,4,2]=>[1,4,1,1]=>12
[1,6,7,4,2,3,5]=>[1,3,3]=>5
[1,6,7,4,2,5,3]=>[1,3,2,1]=>11
[1,6,7,4,3,2,5]=>[1,3,1,2]=>10
[1,6,7,4,3,5,2]=>[1,3,2,1]=>11
[1,6,7,4,5,2,3]=>[1,4,2]=>6
[1,6,7,4,5,3,2]=>[1,4,1,1]=>12
[1,6,7,5,2,3,4]=>[1,2,4]=>4
[1,6,7,5,2,4,3]=>[1,2,3,1]=>10
[1,6,7,5,3,2,4]=>[1,2,2,2]=>9
[1,6,7,5,3,4,2]=>[1,2,3,1]=>10
[1,6,7,5,4,2,3]=>[1,2,2,2]=>9
[1,6,7,5,4,3,2]=>[1,2,2,1,1]=>15
[1,7,2,3,4,5,6]=>[1,6]=>1
[1,7,2,3,4,6,5]=>[1,5,1]=>7
[1,7,2,3,5,4,6]=>[1,4,2]=>6
[1,7,2,3,5,6,4]=>[1,5,1]=>7
[1,7,2,3,6,4,5]=>[1,3,3]=>5
[1,7,2,3,6,5,4]=>[1,3,2,1]=>11
[1,7,2,4,3,5,6]=>[1,3,3]=>5
[1,7,2,4,3,6,5]=>[1,3,2,1]=>11
[1,7,2,4,5,3,6]=>[1,4,2]=>6
[1,7,2,4,5,6,3]=>[1,5,1]=>7
[1,7,2,4,6,3,5]=>[1,3,3]=>5
[1,7,2,4,6,5,3]=>[1,3,2,1]=>11
[1,7,2,5,3,4,6]=>[1,2,4]=>4
[1,7,2,5,3,6,4]=>[1,2,3,1]=>10
[1,7,2,5,4,3,6]=>[1,2,2,2]=>9
[1,7,2,5,4,6,3]=>[1,2,3,1]=>10
[1,7,2,5,6,3,4]=>[1,2,4]=>4
[1,7,2,5,6,4,3]=>[1,2,3,1]=>10
[1,7,2,6,3,4,5]=>[1,2,4]=>4
[1,7,2,6,3,5,4]=>[1,2,3,1]=>10
[1,7,2,6,4,3,5]=>[1,2,2,2]=>9
[1,7,2,6,4,5,3]=>[1,2,3,1]=>10
[1,7,2,6,5,3,4]=>[1,2,2,2]=>9
[1,7,2,6,5,4,3]=>[1,2,2,1,1]=>15
[1,7,3,2,4,5,6]=>[1,2,4]=>4
[1,7,3,2,4,6,5]=>[1,2,3,1]=>10
[1,7,3,2,5,4,6]=>[1,2,2,2]=>9
[1,7,3,2,5,6,4]=>[1,2,3,1]=>10
[1,7,3,2,6,4,5]=>[1,2,1,3]=>8
[1,7,3,2,6,5,4]=>[1,2,1,2,1]=>14
[1,7,3,4,2,5,6]=>[1,3,3]=>5
[1,7,3,4,2,6,5]=>[1,3,2,1]=>11
[1,7,3,4,5,2,6]=>[1,4,2]=>6
[1,7,3,4,5,6,2]=>[1,5,1]=>7
[1,7,3,4,6,2,5]=>[1,3,3]=>5
[1,7,3,4,6,5,2]=>[1,3,2,1]=>11
[1,7,3,5,2,4,6]=>[1,2,4]=>4
[1,7,3,5,2,6,4]=>[1,2,3,1]=>10
[1,7,3,5,4,2,6]=>[1,2,2,2]=>9
[1,7,3,5,4,6,2]=>[1,2,3,1]=>10
[1,7,3,5,6,2,4]=>[1,2,4]=>4
[1,7,3,5,6,4,2]=>[1,2,3,1]=>10
[1,7,3,6,2,4,5]=>[1,2,4]=>4
[1,7,3,6,2,5,4]=>[1,2,3,1]=>10
[1,7,3,6,4,2,5]=>[1,2,2,2]=>9
[1,7,3,6,4,5,2]=>[1,2,3,1]=>10
[1,7,3,6,5,2,4]=>[1,2,2,2]=>9
[1,7,3,6,5,4,2]=>[1,2,2,1,1]=>15
[1,7,4,2,3,5,6]=>[1,1,5]=>3
[1,7,4,2,3,6,5]=>[1,1,4,1]=>9
[1,7,4,2,5,3,6]=>[1,1,3,2]=>8
[1,7,4,2,5,6,3]=>[1,1,4,1]=>9
[1,7,4,2,6,3,5]=>[1,1,2,3]=>7
[1,7,4,2,6,5,3]=>[1,1,2,2,1]=>13
[1,7,4,3,2,5,6]=>[1,1,2,3]=>7
[1,7,4,3,2,6,5]=>[1,1,2,2,1]=>13
[1,7,4,3,5,2,6]=>[1,1,3,2]=>8
[1,7,4,3,5,6,2]=>[1,1,4,1]=>9
[1,7,4,3,6,2,5]=>[1,1,2,3]=>7
[1,7,4,3,6,5,2]=>[1,1,2,2,1]=>13
[1,7,4,5,2,3,6]=>[1,1,5]=>3
[1,7,4,5,2,6,3]=>[1,1,4,1]=>9
[1,7,4,5,3,2,6]=>[1,1,3,2]=>8
[1,7,4,5,3,6,2]=>[1,1,4,1]=>9
[1,7,4,5,6,2,3]=>[1,1,5]=>3
[1,7,4,5,6,3,2]=>[1,1,4,1]=>9
[1,7,4,6,2,3,5]=>[1,1,5]=>3
[1,7,4,6,2,5,3]=>[1,1,4,1]=>9
[1,7,4,6,3,2,5]=>[1,1,3,2]=>8
[1,7,4,6,3,5,2]=>[1,1,4,1]=>9
[1,7,4,6,5,2,3]=>[1,1,3,2]=>8
[1,7,4,6,5,3,2]=>[1,1,3,1,1]=>14
[1,7,5,2,3,4,6]=>[1,1,5]=>3
[1,7,5,2,3,6,4]=>[1,1,4,1]=>9
[1,7,5,2,4,3,6]=>[1,1,3,2]=>8
[1,7,5,2,4,6,3]=>[1,1,4,1]=>9
[1,7,5,2,6,3,4]=>[1,1,2,3]=>7
[1,7,5,2,6,4,3]=>[1,1,2,2,1]=>13
[1,7,5,3,2,4,6]=>[1,1,2,3]=>7
[1,7,5,3,2,6,4]=>[1,1,2,2,1]=>13
[1,7,5,3,4,2,6]=>[1,1,3,2]=>8
[1,7,5,3,4,6,2]=>[1,1,4,1]=>9
[1,7,5,3,6,2,4]=>[1,1,2,3]=>7
[1,7,5,3,6,4,2]=>[1,1,2,2,1]=>13
[1,7,5,4,2,3,6]=>[1,1,2,3]=>7
[1,7,5,4,2,6,3]=>[1,1,2,2,1]=>13
[1,7,5,4,3,2,6]=>[1,1,2,1,2]=>12
[1,7,5,4,3,6,2]=>[1,1,2,2,1]=>13
[1,7,5,4,6,2,3]=>[1,1,2,3]=>7
[1,7,5,4,6,3,2]=>[1,1,2,2,1]=>13
[1,7,5,6,2,3,4]=>[1,1,5]=>3
[1,7,5,6,2,4,3]=>[1,1,4,1]=>9
[1,7,5,6,3,2,4]=>[1,1,3,2]=>8
[1,7,5,6,3,4,2]=>[1,1,4,1]=>9
[1,7,5,6,4,2,3]=>[1,1,3,2]=>8
[1,7,5,6,4,3,2]=>[1,1,3,1,1]=>14
[1,7,6,2,3,4,5]=>[1,1,5]=>3
[1,7,6,2,3,5,4]=>[1,1,4,1]=>9
[1,7,6,2,4,3,5]=>[1,1,3,2]=>8
[1,7,6,2,4,5,3]=>[1,1,4,1]=>9
[1,7,6,2,5,3,4]=>[1,1,3,2]=>8
[1,7,6,2,5,4,3]=>[1,1,3,1,1]=>14
[1,7,6,3,2,4,5]=>[1,1,2,3]=>7
[1,7,6,3,2,5,4]=>[1,1,2,2,1]=>13
[1,7,6,3,4,2,5]=>[1,1,3,2]=>8
[1,7,6,3,4,5,2]=>[1,1,4,1]=>9
[1,7,6,3,5,2,4]=>[1,1,3,2]=>8
[1,7,6,3,5,4,2]=>[1,1,3,1,1]=>14
[1,7,6,4,2,3,5]=>[1,1,2,3]=>7
[1,7,6,4,2,5,3]=>[1,1,2,2,1]=>13
[1,7,6,4,3,2,5]=>[1,1,2,1,2]=>12
[1,7,6,4,3,5,2]=>[1,1,2,2,1]=>13
[1,7,6,4,5,2,3]=>[1,1,3,2]=>8
[1,7,6,4,5,3,2]=>[1,1,3,1,1]=>14
[1,7,6,5,2,3,4]=>[1,1,1,4]=>6
[1,7,6,5,2,4,3]=>[1,1,1,3,1]=>12
[1,7,6,5,3,2,4]=>[1,1,1,2,2]=>11
[1,7,6,5,3,4,2]=>[1,1,1,3,1]=>12
[1,7,6,5,4,2,3]=>[1,1,1,2,2]=>11
[1,7,6,5,4,3,2]=>[1,1,1,2,1,1]=>17
[2,1,3,4,5,6,7]=>[7]=>0
[2,1,3,4,5,7,6]=>[5,2]=>5
[2,1,3,4,6,5,7]=>[4,3]=>4
[2,1,3,4,6,7,5]=>[4,3]=>4
[2,1,3,4,7,5,6]=>[4,3]=>4
[2,1,3,4,7,6,5]=>[4,2,1]=>10
[2,1,3,5,4,6,7]=>[3,4]=>3
[2,1,3,5,4,7,6]=>[3,2,2]=>8
[2,1,3,5,6,4,7]=>[3,4]=>3
[2,1,3,5,6,7,4]=>[3,4]=>3
[2,1,3,5,7,4,6]=>[3,4]=>3
[2,1,3,5,7,6,4]=>[3,3,1]=>9
[2,1,3,6,4,5,7]=>[3,4]=>3
[2,1,3,6,4,7,5]=>[3,2,2]=>8
[2,1,3,6,5,4,7]=>[3,2,2]=>8
[2,1,3,6,5,7,4]=>[3,2,2]=>8
[2,1,3,6,7,4,5]=>[3,4]=>3
[2,1,3,6,7,5,4]=>[3,3,1]=>9
[2,1,3,7,4,5,6]=>[3,4]=>3
[2,1,3,7,4,6,5]=>[3,3,1]=>9
[2,1,3,7,5,4,6]=>[3,2,2]=>8
[2,1,3,7,5,6,4]=>[3,3,1]=>9
[2,1,3,7,6,4,5]=>[3,1,3]=>7
[2,1,3,7,6,5,4]=>[3,1,2,1]=>13
[2,1,4,3,5,6,7]=>[2,5]=>2
[2,1,4,3,5,7,6]=>[2,3,2]=>7
[2,1,4,3,6,5,7]=>[2,2,3]=>6
[2,1,4,3,6,7,5]=>[2,2,3]=>6
[2,1,4,3,7,5,6]=>[2,2,3]=>6
[2,1,4,3,7,6,5]=>[2,2,2,1]=>12
[2,1,4,5,3,6,7]=>[2,5]=>2
[2,1,4,5,3,7,6]=>[2,3,2]=>7
[2,1,4,5,6,3,7]=>[2,5]=>2
[2,1,4,5,6,7,3]=>[2,5]=>2
[2,1,4,5,7,3,6]=>[2,5]=>2
[2,1,4,5,7,6,3]=>[2,4,1]=>8
[2,1,4,6,3,5,7]=>[2,5]=>2
[2,1,4,6,3,7,5]=>[2,3,2]=>7
[2,1,4,6,5,3,7]=>[2,3,2]=>7
[2,1,4,6,5,7,3]=>[2,3,2]=>7
[2,1,4,6,7,3,5]=>[2,5]=>2
[2,1,4,6,7,5,3]=>[2,4,1]=>8
[2,1,4,7,3,5,6]=>[2,5]=>2
[2,1,4,7,3,6,5]=>[2,4,1]=>8
[2,1,4,7,5,3,6]=>[2,3,2]=>7
[2,1,4,7,5,6,3]=>[2,4,1]=>8
[2,1,4,7,6,3,5]=>[2,2,3]=>6
[2,1,4,7,6,5,3]=>[2,2,2,1]=>12
[2,1,5,3,4,6,7]=>[2,5]=>2
[2,1,5,3,4,7,6]=>[2,3,2]=>7
[2,1,5,3,6,4,7]=>[2,2,3]=>6
[2,1,5,3,6,7,4]=>[2,2,3]=>6
[2,1,5,3,7,4,6]=>[2,2,3]=>6
[2,1,5,3,7,6,4]=>[2,2,2,1]=>12
[2,1,5,4,3,6,7]=>[2,2,3]=>6
[2,1,5,4,3,7,6]=>[2,2,1,2]=>11
[2,1,5,4,6,3,7]=>[2,2,3]=>6
[2,1,5,4,6,7,3]=>[2,2,3]=>6
[2,1,5,4,7,3,6]=>[2,2,3]=>6
[2,1,5,4,7,6,3]=>[2,2,2,1]=>12
[2,1,5,6,3,4,7]=>[2,5]=>2
[2,1,5,6,3,7,4]=>[2,3,2]=>7
[2,1,5,6,4,3,7]=>[2,3,2]=>7
[2,1,5,6,4,7,3]=>[2,3,2]=>7
[2,1,5,6,7,3,4]=>[2,5]=>2
[2,1,5,6,7,4,3]=>[2,4,1]=>8
[2,1,5,7,3,4,6]=>[2,5]=>2
[2,1,5,7,3,6,4]=>[2,4,1]=>8
[2,1,5,7,4,3,6]=>[2,3,2]=>7
[2,1,5,7,4,6,3]=>[2,4,1]=>8
[2,1,5,7,6,3,4]=>[2,2,3]=>6
[2,1,5,7,6,4,3]=>[2,2,2,1]=>12
[2,1,6,3,4,5,7]=>[2,5]=>2
[2,1,6,3,4,7,5]=>[2,3,2]=>7
[2,1,6,3,5,4,7]=>[2,3,2]=>7
[2,1,6,3,5,7,4]=>[2,3,2]=>7
[2,1,6,3,7,4,5]=>[2,2,3]=>6
[2,1,6,3,7,5,4]=>[2,2,2,1]=>12
[2,1,6,4,3,5,7]=>[2,2,3]=>6
[2,1,6,4,3,7,5]=>[2,2,1,2]=>11
[2,1,6,4,5,3,7]=>[2,3,2]=>7
[2,1,6,4,5,7,3]=>[2,3,2]=>7
[2,1,6,4,7,3,5]=>[2,2,3]=>6
[2,1,6,4,7,5,3]=>[2,2,2,1]=>12
[2,1,6,5,3,4,7]=>[2,1,4]=>5
[2,1,6,5,3,7,4]=>[2,1,2,2]=>10
[2,1,6,5,4,3,7]=>[2,1,2,2]=>10
[2,1,6,5,4,7,3]=>[2,1,2,2]=>10
[2,1,6,5,7,3,4]=>[2,1,4]=>5
[2,1,6,5,7,4,3]=>[2,1,3,1]=>11
[2,1,6,7,3,4,5]=>[2,5]=>2
[2,1,6,7,3,5,4]=>[2,4,1]=>8
[2,1,6,7,4,3,5]=>[2,3,2]=>7
[2,1,6,7,4,5,3]=>[2,4,1]=>8
[2,1,6,7,5,3,4]=>[2,3,2]=>7
[2,1,6,7,5,4,3]=>[2,3,1,1]=>13
[2,1,7,3,4,5,6]=>[2,5]=>2
[2,1,7,3,4,6,5]=>[2,4,1]=>8
[2,1,7,3,5,4,6]=>[2,3,2]=>7
[2,1,7,3,5,6,4]=>[2,4,1]=>8
[2,1,7,3,6,4,5]=>[2,2,3]=>6
[2,1,7,3,6,5,4]=>[2,2,2,1]=>12
[2,1,7,4,3,5,6]=>[2,2,3]=>6
[2,1,7,4,3,6,5]=>[2,2,2,1]=>12
[2,1,7,4,5,3,6]=>[2,3,2]=>7
[2,1,7,4,5,6,3]=>[2,4,1]=>8
[2,1,7,4,6,3,5]=>[2,2,3]=>6
[2,1,7,4,6,5,3]=>[2,2,2,1]=>12
[2,1,7,5,3,4,6]=>[2,1,4]=>5
[2,1,7,5,3,6,4]=>[2,1,3,1]=>11
[2,1,7,5,4,3,6]=>[2,1,2,2]=>10
[2,1,7,5,4,6,3]=>[2,1,3,1]=>11
[2,1,7,5,6,3,4]=>[2,1,4]=>5
[2,1,7,5,6,4,3]=>[2,1,3,1]=>11
[2,1,7,6,3,4,5]=>[2,1,4]=>5
[2,1,7,6,3,5,4]=>[2,1,3,1]=>11
[2,1,7,6,4,3,5]=>[2,1,2,2]=>10
[2,1,7,6,4,5,3]=>[2,1,3,1]=>11
[2,1,7,6,5,3,4]=>[2,1,2,2]=>10
[2,1,7,6,5,4,3]=>[2,1,2,1,1]=>16
[2,3,1,4,5,6,7]=>[7]=>0
[2,3,1,4,5,7,6]=>[5,2]=>5
[2,3,1,4,6,5,7]=>[4,3]=>4
[2,3,1,4,6,7,5]=>[4,3]=>4
[2,3,1,4,7,5,6]=>[4,3]=>4
[2,3,1,4,7,6,5]=>[4,2,1]=>10
[2,3,1,5,4,6,7]=>[3,4]=>3
[2,3,1,5,4,7,6]=>[3,2,2]=>8
[2,3,1,5,6,4,7]=>[3,4]=>3
[2,3,1,5,6,7,4]=>[3,4]=>3
[2,3,1,5,7,4,6]=>[3,4]=>3
[2,3,1,5,7,6,4]=>[3,3,1]=>9
[2,3,1,6,4,5,7]=>[3,4]=>3
[2,3,1,6,4,7,5]=>[3,2,2]=>8
[2,3,1,6,5,4,7]=>[3,2,2]=>8
[2,3,1,6,5,7,4]=>[3,2,2]=>8
[2,3,1,6,7,4,5]=>[3,4]=>3
[2,3,1,6,7,5,4]=>[3,3,1]=>9
[2,3,1,7,4,5,6]=>[3,4]=>3
[2,3,1,7,4,6,5]=>[3,3,1]=>9
[2,3,1,7,5,4,6]=>[3,2,2]=>8
[2,3,1,7,5,6,4]=>[3,3,1]=>9
[2,3,1,7,6,4,5]=>[3,1,3]=>7
[2,3,1,7,6,5,4]=>[3,1,2,1]=>13
[2,3,4,1,5,6,7]=>[7]=>0
[2,3,4,1,5,7,6]=>[5,2]=>5
[2,3,4,1,6,5,7]=>[4,3]=>4
[2,3,4,1,6,7,5]=>[4,3]=>4
[2,3,4,1,7,5,6]=>[4,3]=>4
[2,3,4,1,7,6,5]=>[4,2,1]=>10
[2,3,4,5,1,6,7]=>[7]=>0
[2,3,4,5,1,7,6]=>[5,2]=>5
[2,3,4,5,6,1,7]=>[7]=>0
[2,3,4,5,6,7,1]=>[7]=>0
[2,3,4,5,7,1,6]=>[7]=>0
[2,3,4,5,7,6,1]=>[6,1]=>6
[2,3,4,6,1,5,7]=>[7]=>0
[2,3,4,6,1,7,5]=>[5,2]=>5
[2,3,4,6,5,1,7]=>[5,2]=>5
[2,3,4,6,5,7,1]=>[5,2]=>5
[2,3,4,6,7,1,5]=>[7]=>0
[2,3,4,6,7,5,1]=>[6,1]=>6
[2,3,4,7,1,5,6]=>[7]=>0
[2,3,4,7,1,6,5]=>[6,1]=>6
[2,3,4,7,5,1,6]=>[5,2]=>5
[2,3,4,7,5,6,1]=>[6,1]=>6
[2,3,4,7,6,1,5]=>[4,3]=>4
[2,3,4,7,6,5,1]=>[4,2,1]=>10
[2,3,5,1,4,6,7]=>[7]=>0
[2,3,5,1,4,7,6]=>[5,2]=>5
[2,3,5,1,6,4,7]=>[4,3]=>4
[2,3,5,1,6,7,4]=>[4,3]=>4
[2,3,5,1,7,4,6]=>[4,3]=>4
[2,3,5,1,7,6,4]=>[4,2,1]=>10
[2,3,5,4,1,6,7]=>[4,3]=>4
[2,3,5,4,1,7,6]=>[4,1,2]=>9
[2,3,5,4,6,1,7]=>[4,3]=>4
[2,3,5,4,6,7,1]=>[4,3]=>4
[2,3,5,4,7,1,6]=>[4,3]=>4
[2,3,5,4,7,6,1]=>[4,2,1]=>10
[2,3,5,6,1,4,7]=>[7]=>0
[2,3,5,6,1,7,4]=>[5,2]=>5
[2,3,5,6,4,1,7]=>[5,2]=>5
[2,3,5,6,4,7,1]=>[5,2]=>5
[2,3,5,6,7,1,4]=>[7]=>0
[2,3,5,6,7,4,1]=>[6,1]=>6
[2,3,5,7,1,4,6]=>[7]=>0
[2,3,5,7,1,6,4]=>[6,1]=>6
[2,3,5,7,4,1,6]=>[5,2]=>5
[2,3,5,7,4,6,1]=>[6,1]=>6
[2,3,5,7,6,1,4]=>[4,3]=>4
[2,3,5,7,6,4,1]=>[4,2,1]=>10
[2,3,6,1,4,5,7]=>[7]=>0
[2,3,6,1,4,7,5]=>[5,2]=>5
[2,3,6,1,5,4,7]=>[5,2]=>5
[2,3,6,1,5,7,4]=>[5,2]=>5
[2,3,6,1,7,4,5]=>[4,3]=>4
[2,3,6,1,7,5,4]=>[4,2,1]=>10
[2,3,6,4,1,5,7]=>[4,3]=>4
[2,3,6,4,1,7,5]=>[4,1,2]=>9
[2,3,6,4,5,1,7]=>[5,2]=>5
[2,3,6,4,5,7,1]=>[5,2]=>5
[2,3,6,4,7,1,5]=>[4,3]=>4
[2,3,6,4,7,5,1]=>[4,2,1]=>10
[2,3,6,5,1,4,7]=>[3,4]=>3
[2,3,6,5,1,7,4]=>[3,2,2]=>8
[2,3,6,5,4,1,7]=>[3,2,2]=>8
[2,3,6,5,4,7,1]=>[3,2,2]=>8
[2,3,6,5,7,1,4]=>[3,4]=>3
[2,3,6,5,7,4,1]=>[3,3,1]=>9
[2,3,6,7,1,4,5]=>[7]=>0
[2,3,6,7,1,5,4]=>[6,1]=>6
[2,3,6,7,4,1,5]=>[5,2]=>5
[2,3,6,7,4,5,1]=>[6,1]=>6
[2,3,6,7,5,1,4]=>[5,2]=>5
[2,3,6,7,5,4,1]=>[5,1,1]=>11
[2,3,7,1,4,5,6]=>[7]=>0
[2,3,7,1,4,6,5]=>[6,1]=>6
[2,3,7,1,5,4,6]=>[5,2]=>5
[2,3,7,1,5,6,4]=>[6,1]=>6
[2,3,7,1,6,4,5]=>[4,3]=>4
[2,3,7,1,6,5,4]=>[4,2,1]=>10
[2,3,7,4,1,5,6]=>[4,3]=>4
[2,3,7,4,1,6,5]=>[4,2,1]=>10
[2,3,7,4,5,1,6]=>[5,2]=>5
[2,3,7,4,5,6,1]=>[6,1]=>6
[2,3,7,4,6,1,5]=>[4,3]=>4
[2,3,7,4,6,5,1]=>[4,2,1]=>10
[2,3,7,5,1,4,6]=>[3,4]=>3
[2,3,7,5,1,6,4]=>[3,3,1]=>9
[2,3,7,5,4,1,6]=>[3,2,2]=>8
[2,3,7,5,4,6,1]=>[3,3,1]=>9
[2,3,7,5,6,1,4]=>[3,4]=>3
[2,3,7,5,6,4,1]=>[3,3,1]=>9
[2,3,7,6,1,4,5]=>[3,4]=>3
[2,3,7,6,1,5,4]=>[3,3,1]=>9
[2,3,7,6,4,1,5]=>[3,2,2]=>8
[2,3,7,6,4,5,1]=>[3,3,1]=>9
[2,3,7,6,5,1,4]=>[3,2,2]=>8
[2,3,7,6,5,4,1]=>[3,2,1,1]=>14
[2,4,1,3,5,6,7]=>[7]=>0
[2,4,1,3,5,7,6]=>[5,2]=>5
[2,4,1,3,6,5,7]=>[4,3]=>4
[2,4,1,3,6,7,5]=>[4,3]=>4
[2,4,1,3,7,5,6]=>[4,3]=>4
[2,4,1,3,7,6,5]=>[4,2,1]=>10
[2,4,1,5,3,6,7]=>[3,4]=>3
[2,4,1,5,3,7,6]=>[3,2,2]=>8
[2,4,1,5,6,3,7]=>[3,4]=>3
[2,4,1,5,6,7,3]=>[3,4]=>3
[2,4,1,5,7,3,6]=>[3,4]=>3
[2,4,1,5,7,6,3]=>[3,3,1]=>9
[2,4,1,6,3,5,7]=>[3,4]=>3
[2,4,1,6,3,7,5]=>[3,2,2]=>8
[2,4,1,6,5,3,7]=>[3,2,2]=>8
[2,4,1,6,5,7,3]=>[3,2,2]=>8
[2,4,1,6,7,3,5]=>[3,4]=>3
[2,4,1,6,7,5,3]=>[3,3,1]=>9
[2,4,1,7,3,5,6]=>[3,4]=>3
[2,4,1,7,3,6,5]=>[3,3,1]=>9
[2,4,1,7,5,3,6]=>[3,2,2]=>8
[2,4,1,7,5,6,3]=>[3,3,1]=>9
[2,4,1,7,6,3,5]=>[3,1,3]=>7
[2,4,1,7,6,5,3]=>[3,1,2,1]=>13
[2,4,3,1,5,6,7]=>[3,4]=>3
[2,4,3,1,5,7,6]=>[3,2,2]=>8
[2,4,3,1,6,5,7]=>[3,1,3]=>7
[2,4,3,1,6,7,5]=>[3,1,3]=>7
[2,4,3,1,7,5,6]=>[3,1,3]=>7
[2,4,3,1,7,6,5]=>[3,1,2,1]=>13
[2,4,3,5,1,6,7]=>[3,4]=>3
[2,4,3,5,1,7,6]=>[3,2,2]=>8
[2,4,3,5,6,1,7]=>[3,4]=>3
[2,4,3,5,6,7,1]=>[3,4]=>3
[2,4,3,5,7,1,6]=>[3,4]=>3
[2,4,3,5,7,6,1]=>[3,3,1]=>9
[2,4,3,6,1,5,7]=>[3,4]=>3
[2,4,3,6,1,7,5]=>[3,2,2]=>8
[2,4,3,6,5,1,7]=>[3,2,2]=>8
[2,4,3,6,5,7,1]=>[3,2,2]=>8
[2,4,3,6,7,1,5]=>[3,4]=>3
[2,4,3,6,7,5,1]=>[3,3,1]=>9
[2,4,3,7,1,5,6]=>[3,4]=>3
[2,4,3,7,1,6,5]=>[3,3,1]=>9
[2,4,3,7,5,1,6]=>[3,2,2]=>8
[2,4,3,7,5,6,1]=>[3,3,1]=>9
[2,4,3,7,6,1,5]=>[3,1,3]=>7
[2,4,3,7,6,5,1]=>[3,1,2,1]=>13
[2,4,5,1,3,6,7]=>[7]=>0
[2,4,5,1,3,7,6]=>[5,2]=>5
[2,4,5,1,6,3,7]=>[4,3]=>4
[2,4,5,1,6,7,3]=>[4,3]=>4
[2,4,5,1,7,3,6]=>[4,3]=>4
[2,4,5,1,7,6,3]=>[4,2,1]=>10
[2,4,5,3,1,6,7]=>[4,3]=>4
[2,4,5,3,1,7,6]=>[4,1,2]=>9
[2,4,5,3,6,1,7]=>[4,3]=>4
[2,4,5,3,6,7,1]=>[4,3]=>4
[2,4,5,3,7,1,6]=>[4,3]=>4
[2,4,5,3,7,6,1]=>[4,2,1]=>10
[2,4,5,6,1,3,7]=>[7]=>0
[2,4,5,6,1,7,3]=>[5,2]=>5
[2,4,5,6,3,1,7]=>[5,2]=>5
[2,4,5,6,3,7,1]=>[5,2]=>5
[2,4,5,6,7,1,3]=>[7]=>0
[2,4,5,6,7,3,1]=>[6,1]=>6
[2,4,5,7,1,3,6]=>[7]=>0
[2,4,5,7,1,6,3]=>[6,1]=>6
[2,4,5,7,3,1,6]=>[5,2]=>5
[2,4,5,7,3,6,1]=>[6,1]=>6
[2,4,5,7,6,1,3]=>[4,3]=>4
[2,4,5,7,6,3,1]=>[4,2,1]=>10
[2,4,6,1,3,5,7]=>[7]=>0
[2,4,6,1,3,7,5]=>[5,2]=>5
[2,4,6,1,5,3,7]=>[5,2]=>5
[2,4,6,1,5,7,3]=>[5,2]=>5
[2,4,6,1,7,3,5]=>[4,3]=>4
[2,4,6,1,7,5,3]=>[4,2,1]=>10
[2,4,6,3,1,5,7]=>[4,3]=>4
[2,4,6,3,1,7,5]=>[4,1,2]=>9
[2,4,6,3,5,1,7]=>[5,2]=>5
[2,4,6,3,5,7,1]=>[5,2]=>5
[2,4,6,3,7,1,5]=>[4,3]=>4
[2,4,6,3,7,5,1]=>[4,2,1]=>10
[2,4,6,5,1,3,7]=>[3,4]=>3
[2,4,6,5,1,7,3]=>[3,2,2]=>8
[2,4,6,5,3,1,7]=>[3,2,2]=>8
[2,4,6,5,3,7,1]=>[3,2,2]=>8
[2,4,6,5,7,1,3]=>[3,4]=>3
[2,4,6,5,7,3,1]=>[3,3,1]=>9
[2,4,6,7,1,3,5]=>[7]=>0
[2,4,6,7,1,5,3]=>[6,1]=>6
[2,4,6,7,3,1,5]=>[5,2]=>5
[2,4,6,7,3,5,1]=>[6,1]=>6
[2,4,6,7,5,1,3]=>[5,2]=>5
[2,4,6,7,5,3,1]=>[5,1,1]=>11
[2,4,7,1,3,5,6]=>[7]=>0
[2,4,7,1,3,6,5]=>[6,1]=>6
[2,4,7,1,5,3,6]=>[5,2]=>5
[2,4,7,1,5,6,3]=>[6,1]=>6
[2,4,7,1,6,3,5]=>[4,3]=>4
[2,4,7,1,6,5,3]=>[4,2,1]=>10
[2,4,7,3,1,5,6]=>[4,3]=>4
[2,4,7,3,1,6,5]=>[4,2,1]=>10
[2,4,7,3,5,1,6]=>[5,2]=>5
[2,4,7,3,5,6,1]=>[6,1]=>6
[2,4,7,3,6,1,5]=>[4,3]=>4
[2,4,7,3,6,5,1]=>[4,2,1]=>10
[2,4,7,5,1,3,6]=>[3,4]=>3
[2,4,7,5,1,6,3]=>[3,3,1]=>9
[2,4,7,5,3,1,6]=>[3,2,2]=>8
[2,4,7,5,3,6,1]=>[3,3,1]=>9
[2,4,7,5,6,1,3]=>[3,4]=>3
[2,4,7,5,6,3,1]=>[3,3,1]=>9
[2,4,7,6,1,3,5]=>[3,4]=>3
[2,4,7,6,1,5,3]=>[3,3,1]=>9
[2,4,7,6,3,1,5]=>[3,2,2]=>8
[2,4,7,6,3,5,1]=>[3,3,1]=>9
[2,4,7,6,5,1,3]=>[3,2,2]=>8
[2,4,7,6,5,3,1]=>[3,2,1,1]=>14
[2,5,1,3,4,6,7]=>[7]=>0
[2,5,1,3,4,7,6]=>[5,2]=>5
[2,5,1,3,6,4,7]=>[4,3]=>4
[2,5,1,3,6,7,4]=>[4,3]=>4
[2,5,1,3,7,4,6]=>[4,3]=>4
[2,5,1,3,7,6,4]=>[4,2,1]=>10
[2,5,1,4,3,6,7]=>[4,3]=>4
[2,5,1,4,3,7,6]=>[4,1,2]=>9
[2,5,1,4,6,3,7]=>[4,3]=>4
[2,5,1,4,6,7,3]=>[4,3]=>4
[2,5,1,4,7,3,6]=>[4,3]=>4
[2,5,1,4,7,6,3]=>[4,2,1]=>10
[2,5,1,6,3,4,7]=>[3,4]=>3
[2,5,1,6,3,7,4]=>[3,2,2]=>8
[2,5,1,6,4,3,7]=>[3,2,2]=>8
[2,5,1,6,4,7,3]=>[3,2,2]=>8
[2,5,1,6,7,3,4]=>[3,4]=>3
[2,5,1,6,7,4,3]=>[3,3,1]=>9
[2,5,1,7,3,4,6]=>[3,4]=>3
[2,5,1,7,3,6,4]=>[3,3,1]=>9
[2,5,1,7,4,3,6]=>[3,2,2]=>8
[2,5,1,7,4,6,3]=>[3,3,1]=>9
[2,5,1,7,6,3,4]=>[3,1,3]=>7
[2,5,1,7,6,4,3]=>[3,1,2,1]=>13
[2,5,3,1,4,6,7]=>[3,4]=>3
[2,5,3,1,4,7,6]=>[3,2,2]=>8
[2,5,3,1,6,4,7]=>[3,1,3]=>7
[2,5,3,1,6,7,4]=>[3,1,3]=>7
[2,5,3,1,7,4,6]=>[3,1,3]=>7
[2,5,3,1,7,6,4]=>[3,1,2,1]=>13
[2,5,3,4,1,6,7]=>[4,3]=>4
[2,5,3,4,1,7,6]=>[4,1,2]=>9
[2,5,3,4,6,1,7]=>[4,3]=>4
[2,5,3,4,6,7,1]=>[4,3]=>4
[2,5,3,4,7,1,6]=>[4,3]=>4
[2,5,3,4,7,6,1]=>[4,2,1]=>10
[2,5,3,6,1,4,7]=>[3,4]=>3
[2,5,3,6,1,7,4]=>[3,2,2]=>8
[2,5,3,6,4,1,7]=>[3,2,2]=>8
[2,5,3,6,4,7,1]=>[3,2,2]=>8
[2,5,3,6,7,1,4]=>[3,4]=>3
[2,5,3,6,7,4,1]=>[3,3,1]=>9
[2,5,3,7,1,4,6]=>[3,4]=>3
[2,5,3,7,1,6,4]=>[3,3,1]=>9
[2,5,3,7,4,1,6]=>[3,2,2]=>8
[2,5,3,7,4,6,1]=>[3,3,1]=>9
[2,5,3,7,6,1,4]=>[3,1,3]=>7
[2,5,3,7,6,4,1]=>[3,1,2,1]=>13
[2,5,4,1,3,6,7]=>[2,5]=>2
[2,5,4,1,3,7,6]=>[2,3,2]=>7
[2,5,4,1,6,3,7]=>[2,2,3]=>6
[2,5,4,1,6,7,3]=>[2,2,3]=>6
[2,5,4,1,7,3,6]=>[2,2,3]=>6
[2,5,4,1,7,6,3]=>[2,2,2,1]=>12
[2,5,4,3,1,6,7]=>[2,2,3]=>6
[2,5,4,3,1,7,6]=>[2,2,1,2]=>11
[2,5,4,3,6,1,7]=>[2,2,3]=>6
[2,5,4,3,6,7,1]=>[2,2,3]=>6
[2,5,4,3,7,1,6]=>[2,2,3]=>6
[2,5,4,3,7,6,1]=>[2,2,2,1]=>12
[2,5,4,6,1,3,7]=>[2,5]=>2
[2,5,4,6,1,7,3]=>[2,3,2]=>7
[2,5,4,6,3,1,7]=>[2,3,2]=>7
[2,5,4,6,3,7,1]=>[2,3,2]=>7
[2,5,4,6,7,1,3]=>[2,5]=>2
[2,5,4,6,7,3,1]=>[2,4,1]=>8
[2,5,4,7,1,3,6]=>[2,5]=>2
[2,5,4,7,1,6,3]=>[2,4,1]=>8
[2,5,4,7,3,1,6]=>[2,3,2]=>7
[2,5,4,7,3,6,1]=>[2,4,1]=>8
[2,5,4,7,6,1,3]=>[2,2,3]=>6
[2,5,4,7,6,3,1]=>[2,2,2,1]=>12
[2,5,6,1,3,4,7]=>[7]=>0
[2,5,6,1,3,7,4]=>[5,2]=>5
[2,5,6,1,4,3,7]=>[5,2]=>5
[2,5,6,1,4,7,3]=>[5,2]=>5
[2,5,6,1,7,3,4]=>[4,3]=>4
[2,5,6,1,7,4,3]=>[4,2,1]=>10
[2,5,6,3,1,4,7]=>[4,3]=>4
[2,5,6,3,1,7,4]=>[4,1,2]=>9
[2,5,6,3,4,1,7]=>[5,2]=>5
[2,5,6,3,4,7,1]=>[5,2]=>5
[2,5,6,3,7,1,4]=>[4,3]=>4
[2,5,6,3,7,4,1]=>[4,2,1]=>10
[2,5,6,4,1,3,7]=>[4,3]=>4
[2,5,6,4,1,7,3]=>[4,1,2]=>9
[2,5,6,4,3,1,7]=>[4,1,2]=>9
[2,5,6,4,3,7,1]=>[4,1,2]=>9
[2,5,6,4,7,1,3]=>[4,3]=>4
[2,5,6,4,7,3,1]=>[4,2,1]=>10
[2,5,6,7,1,3,4]=>[7]=>0
[2,5,6,7,1,4,3]=>[6,1]=>6
[2,5,6,7,3,1,4]=>[5,2]=>5
[2,5,6,7,3,4,1]=>[6,1]=>6
[2,5,6,7,4,1,3]=>[5,2]=>5
[2,5,6,7,4,3,1]=>[5,1,1]=>11
[2,5,7,1,3,4,6]=>[7]=>0
[2,5,7,1,3,6,4]=>[6,1]=>6
[2,5,7,1,4,3,6]=>[5,2]=>5
[2,5,7,1,4,6,3]=>[6,1]=>6
[2,5,7,1,6,3,4]=>[4,3]=>4
[2,5,7,1,6,4,3]=>[4,2,1]=>10
[2,5,7,3,1,4,6]=>[4,3]=>4
[2,5,7,3,1,6,4]=>[4,2,1]=>10
[2,5,7,3,4,1,6]=>[5,2]=>5
[2,5,7,3,4,6,1]=>[6,1]=>6
[2,5,7,3,6,1,4]=>[4,3]=>4
[2,5,7,3,6,4,1]=>[4,2,1]=>10
[2,5,7,4,1,3,6]=>[4,3]=>4
[2,5,7,4,1,6,3]=>[4,2,1]=>10
[2,5,7,4,3,1,6]=>[4,1,2]=>9
[2,5,7,4,3,6,1]=>[4,2,1]=>10
[2,5,7,4,6,1,3]=>[4,3]=>4
[2,5,7,4,6,3,1]=>[4,2,1]=>10
[2,5,7,6,1,3,4]=>[3,4]=>3
[2,5,7,6,1,4,3]=>[3,3,1]=>9
[2,5,7,6,3,1,4]=>[3,2,2]=>8
[2,5,7,6,3,4,1]=>[3,3,1]=>9
[2,5,7,6,4,1,3]=>[3,2,2]=>8
[2,5,7,6,4,3,1]=>[3,2,1,1]=>14
[2,6,1,3,4,5,7]=>[7]=>0
[2,6,1,3,4,7,5]=>[5,2]=>5
[2,6,1,3,5,4,7]=>[5,2]=>5
[2,6,1,3,5,7,4]=>[5,2]=>5
[2,6,1,3,7,4,5]=>[4,3]=>4
[2,6,1,3,7,5,4]=>[4,2,1]=>10
[2,6,1,4,3,5,7]=>[4,3]=>4
[2,6,1,4,3,7,5]=>[4,1,2]=>9
[2,6,1,4,5,3,7]=>[5,2]=>5
[2,6,1,4,5,7,3]=>[5,2]=>5
[2,6,1,4,7,3,5]=>[4,3]=>4
[2,6,1,4,7,5,3]=>[4,2,1]=>10
[2,6,1,5,3,4,7]=>[3,4]=>3
[2,6,1,5,3,7,4]=>[3,2,2]=>8
[2,6,1,5,4,3,7]=>[3,2,2]=>8
[2,6,1,5,4,7,3]=>[3,2,2]=>8
[2,6,1,5,7,3,4]=>[3,4]=>3
[2,6,1,5,7,4,3]=>[3,3,1]=>9
[2,6,1,7,3,4,5]=>[3,4]=>3
[2,6,1,7,3,5,4]=>[3,3,1]=>9
[2,6,1,7,4,3,5]=>[3,2,2]=>8
[2,6,1,7,4,5,3]=>[3,3,1]=>9
[2,6,1,7,5,3,4]=>[3,2,2]=>8
[2,6,1,7,5,4,3]=>[3,2,1,1]=>14
[2,6,3,1,4,5,7]=>[3,4]=>3
[2,6,3,1,4,7,5]=>[3,2,2]=>8
[2,6,3,1,5,4,7]=>[3,2,2]=>8
[2,6,3,1,5,7,4]=>[3,2,2]=>8
[2,6,3,1,7,4,5]=>[3,1,3]=>7
[2,6,3,1,7,5,4]=>[3,1,2,1]=>13
[2,6,3,4,1,5,7]=>[4,3]=>4
[2,6,3,4,1,7,5]=>[4,1,2]=>9
[2,6,3,4,5,1,7]=>[5,2]=>5
[2,6,3,4,5,7,1]=>[5,2]=>5
[2,6,3,4,7,1,5]=>[4,3]=>4
[2,6,3,4,7,5,1]=>[4,2,1]=>10
[2,6,3,5,1,4,7]=>[3,4]=>3
[2,6,3,5,1,7,4]=>[3,2,2]=>8
[2,6,3,5,4,1,7]=>[3,2,2]=>8
[2,6,3,5,4,7,1]=>[3,2,2]=>8
[2,6,3,5,7,1,4]=>[3,4]=>3
[2,6,3,5,7,4,1]=>[3,3,1]=>9
[2,6,3,7,1,4,5]=>[3,4]=>3
[2,6,3,7,1,5,4]=>[3,3,1]=>9
[2,6,3,7,4,1,5]=>[3,2,2]=>8
[2,6,3,7,4,5,1]=>[3,3,1]=>9
[2,6,3,7,5,1,4]=>[3,2,2]=>8
[2,6,3,7,5,4,1]=>[3,2,1,1]=>14
[2,6,4,1,3,5,7]=>[2,5]=>2
[2,6,4,1,3,7,5]=>[2,3,2]=>7
[2,6,4,1,5,3,7]=>[2,3,2]=>7
[2,6,4,1,5,7,3]=>[2,3,2]=>7
[2,6,4,1,7,3,5]=>[2,2,3]=>6
[2,6,4,1,7,5,3]=>[2,2,2,1]=>12
[2,6,4,3,1,5,7]=>[2,2,3]=>6
[2,6,4,3,1,7,5]=>[2,2,1,2]=>11
[2,6,4,3,5,1,7]=>[2,3,2]=>7
[2,6,4,3,5,7,1]=>[2,3,2]=>7
[2,6,4,3,7,1,5]=>[2,2,3]=>6
[2,6,4,3,7,5,1]=>[2,2,2,1]=>12
[2,6,4,5,1,3,7]=>[2,5]=>2
[2,6,4,5,1,7,3]=>[2,3,2]=>7
[2,6,4,5,3,1,7]=>[2,3,2]=>7
[2,6,4,5,3,7,1]=>[2,3,2]=>7
[2,6,4,5,7,1,3]=>[2,5]=>2
[2,6,4,5,7,3,1]=>[2,4,1]=>8
[2,6,4,7,1,3,5]=>[2,5]=>2
[2,6,4,7,1,5,3]=>[2,4,1]=>8
[2,6,4,7,3,1,5]=>[2,3,2]=>7
[2,6,4,7,3,5,1]=>[2,4,1]=>8
[2,6,4,7,5,1,3]=>[2,3,2]=>7
[2,6,4,7,5,3,1]=>[2,3,1,1]=>13
[2,6,5,1,3,4,7]=>[2,5]=>2
[2,6,5,1,3,7,4]=>[2,3,2]=>7
[2,6,5,1,4,3,7]=>[2,3,2]=>7
[2,6,5,1,4,7,3]=>[2,3,2]=>7
[2,6,5,1,7,3,4]=>[2,2,3]=>6
[2,6,5,1,7,4,3]=>[2,2,2,1]=>12
[2,6,5,3,1,4,7]=>[2,2,3]=>6
[2,6,5,3,1,7,4]=>[2,2,1,2]=>11
[2,6,5,3,4,1,7]=>[2,3,2]=>7
[2,6,5,3,4,7,1]=>[2,3,2]=>7
[2,6,5,3,7,1,4]=>[2,2,3]=>6
[2,6,5,3,7,4,1]=>[2,2,2,1]=>12
[2,6,5,4,1,3,7]=>[2,2,3]=>6
[2,6,5,4,1,7,3]=>[2,2,1,2]=>11
[2,6,5,4,3,1,7]=>[2,2,1,2]=>11
[2,6,5,4,3,7,1]=>[2,2,1,2]=>11
[2,6,5,4,7,1,3]=>[2,2,3]=>6
[2,6,5,4,7,3,1]=>[2,2,2,1]=>12
[2,6,5,7,1,3,4]=>[2,5]=>2
[2,6,5,7,1,4,3]=>[2,4,1]=>8
[2,6,5,7,3,1,4]=>[2,3,2]=>7
[2,6,5,7,3,4,1]=>[2,4,1]=>8
[2,6,5,7,4,1,3]=>[2,3,2]=>7
[2,6,5,7,4,3,1]=>[2,3,1,1]=>13
[2,6,7,1,3,4,5]=>[7]=>0
[2,6,7,1,3,5,4]=>[6,1]=>6
[2,6,7,1,4,3,5]=>[5,2]=>5
[2,6,7,1,4,5,3]=>[6,1]=>6
[2,6,7,1,5,3,4]=>[5,2]=>5
[2,6,7,1,5,4,3]=>[5,1,1]=>11
[2,6,7,3,1,4,5]=>[4,3]=>4
[2,6,7,3,1,5,4]=>[4,2,1]=>10
[2,6,7,3,4,1,5]=>[5,2]=>5
[2,6,7,3,4,5,1]=>[6,1]=>6
[2,6,7,3,5,1,4]=>[5,2]=>5
[2,6,7,3,5,4,1]=>[5,1,1]=>11
[2,6,7,4,1,3,5]=>[4,3]=>4
[2,6,7,4,1,5,3]=>[4,2,1]=>10
[2,6,7,4,3,1,5]=>[4,1,2]=>9
[2,6,7,4,3,5,1]=>[4,2,1]=>10
[2,6,7,4,5,1,3]=>[5,2]=>5
[2,6,7,4,5,3,1]=>[5,1,1]=>11
[2,6,7,5,1,3,4]=>[3,4]=>3
[2,6,7,5,1,4,3]=>[3,3,1]=>9
[2,6,7,5,3,1,4]=>[3,2,2]=>8
[2,6,7,5,3,4,1]=>[3,3,1]=>9
[2,6,7,5,4,1,3]=>[3,2,2]=>8
[2,6,7,5,4,3,1]=>[3,2,1,1]=>14
[2,7,1,3,4,5,6]=>[7]=>0
[2,7,1,3,4,6,5]=>[6,1]=>6
[2,7,1,3,5,4,6]=>[5,2]=>5
[2,7,1,3,5,6,4]=>[6,1]=>6
[2,7,1,3,6,4,5]=>[4,3]=>4
[2,7,1,3,6,5,4]=>[4,2,1]=>10
[2,7,1,4,3,5,6]=>[4,3]=>4
[2,7,1,4,3,6,5]=>[4,2,1]=>10
[2,7,1,4,5,3,6]=>[5,2]=>5
[2,7,1,4,5,6,3]=>[6,1]=>6
[2,7,1,4,6,3,5]=>[4,3]=>4
[2,7,1,4,6,5,3]=>[4,2,1]=>10
[2,7,1,5,3,4,6]=>[3,4]=>3
[2,7,1,5,3,6,4]=>[3,3,1]=>9
[2,7,1,5,4,3,6]=>[3,2,2]=>8
[2,7,1,5,4,6,3]=>[3,3,1]=>9
[2,7,1,5,6,3,4]=>[3,4]=>3
[2,7,1,5,6,4,3]=>[3,3,1]=>9
[2,7,1,6,3,4,5]=>[3,4]=>3
[2,7,1,6,3,5,4]=>[3,3,1]=>9
[2,7,1,6,4,3,5]=>[3,2,2]=>8
[2,7,1,6,4,5,3]=>[3,3,1]=>9
[2,7,1,6,5,3,4]=>[3,2,2]=>8
[2,7,1,6,5,4,3]=>[3,2,1,1]=>14
[2,7,3,1,4,5,6]=>[3,4]=>3
[2,7,3,1,4,6,5]=>[3,3,1]=>9
[2,7,3,1,5,4,6]=>[3,2,2]=>8
[2,7,3,1,5,6,4]=>[3,3,1]=>9
[2,7,3,1,6,4,5]=>[3,1,3]=>7
[2,7,3,1,6,5,4]=>[3,1,2,1]=>13
[2,7,3,4,1,5,6]=>[4,3]=>4
[2,7,3,4,1,6,5]=>[4,2,1]=>10
[2,7,3,4,5,1,6]=>[5,2]=>5
[2,7,3,4,5,6,1]=>[6,1]=>6
[2,7,3,4,6,1,5]=>[4,3]=>4
[2,7,3,4,6,5,1]=>[4,2,1]=>10
[2,7,3,5,1,4,6]=>[3,4]=>3
[2,7,3,5,1,6,4]=>[3,3,1]=>9
[2,7,3,5,4,1,6]=>[3,2,2]=>8
[2,7,3,5,4,6,1]=>[3,3,1]=>9
[2,7,3,5,6,1,4]=>[3,4]=>3
[2,7,3,5,6,4,1]=>[3,3,1]=>9
[2,7,3,6,1,4,5]=>[3,4]=>3
[2,7,3,6,1,5,4]=>[3,3,1]=>9
[2,7,3,6,4,1,5]=>[3,2,2]=>8
[2,7,3,6,4,5,1]=>[3,3,1]=>9
[2,7,3,6,5,1,4]=>[3,2,2]=>8
[2,7,3,6,5,4,1]=>[3,2,1,1]=>14
[2,7,4,1,3,5,6]=>[2,5]=>2
[2,7,4,1,3,6,5]=>[2,4,1]=>8
[2,7,4,1,5,3,6]=>[2,3,2]=>7
[2,7,4,1,5,6,3]=>[2,4,1]=>8
[2,7,4,1,6,3,5]=>[2,2,3]=>6
[2,7,4,1,6,5,3]=>[2,2,2,1]=>12
[2,7,4,3,1,5,6]=>[2,2,3]=>6
[2,7,4,3,1,6,5]=>[2,2,2,1]=>12
[2,7,4,3,5,1,6]=>[2,3,2]=>7
[2,7,4,3,5,6,1]=>[2,4,1]=>8
[2,7,4,3,6,1,5]=>[2,2,3]=>6
[2,7,4,3,6,5,1]=>[2,2,2,1]=>12
[2,7,4,5,1,3,6]=>[2,5]=>2
[2,7,4,5,1,6,3]=>[2,4,1]=>8
[2,7,4,5,3,1,6]=>[2,3,2]=>7
[2,7,4,5,3,6,1]=>[2,4,1]=>8
[2,7,4,5,6,1,3]=>[2,5]=>2
[2,7,4,5,6,3,1]=>[2,4,1]=>8
[2,7,4,6,1,3,5]=>[2,5]=>2
[2,7,4,6,1,5,3]=>[2,4,1]=>8
[2,7,4,6,3,1,5]=>[2,3,2]=>7
[2,7,4,6,3,5,1]=>[2,4,1]=>8
[2,7,4,6,5,1,3]=>[2,3,2]=>7
[2,7,4,6,5,3,1]=>[2,3,1,1]=>13
[2,7,5,1,3,4,6]=>[2,5]=>2
[2,7,5,1,3,6,4]=>[2,4,1]=>8
[2,7,5,1,4,3,6]=>[2,3,2]=>7
[2,7,5,1,4,6,3]=>[2,4,1]=>8
[2,7,5,1,6,3,4]=>[2,2,3]=>6
[2,7,5,1,6,4,3]=>[2,2,2,1]=>12
[2,7,5,3,1,4,6]=>[2,2,3]=>6
[2,7,5,3,1,6,4]=>[2,2,2,1]=>12
[2,7,5,3,4,1,6]=>[2,3,2]=>7
[2,7,5,3,4,6,1]=>[2,4,1]=>8
[2,7,5,3,6,1,4]=>[2,2,3]=>6
[2,7,5,3,6,4,1]=>[2,2,2,1]=>12
[2,7,5,4,1,3,6]=>[2,2,3]=>6
[2,7,5,4,1,6,3]=>[2,2,2,1]=>12
[2,7,5,4,3,1,6]=>[2,2,1,2]=>11
[2,7,5,4,3,6,1]=>[2,2,2,1]=>12
[2,7,5,4,6,1,3]=>[2,2,3]=>6
[2,7,5,4,6,3,1]=>[2,2,2,1]=>12
[2,7,5,6,1,3,4]=>[2,5]=>2
[2,7,5,6,1,4,3]=>[2,4,1]=>8
[2,7,5,6,3,1,4]=>[2,3,2]=>7
[2,7,5,6,3,4,1]=>[2,4,1]=>8
[2,7,5,6,4,1,3]=>[2,3,2]=>7
[2,7,5,6,4,3,1]=>[2,3,1,1]=>13
[2,7,6,1,3,4,5]=>[2,5]=>2
[2,7,6,1,3,5,4]=>[2,4,1]=>8
[2,7,6,1,4,3,5]=>[2,3,2]=>7
[2,7,6,1,4,5,3]=>[2,4,1]=>8
[2,7,6,1,5,3,4]=>[2,3,2]=>7
[2,7,6,1,5,4,3]=>[2,3,1,1]=>13
[2,7,6,3,1,4,5]=>[2,2,3]=>6
[2,7,6,3,1,5,4]=>[2,2,2,1]=>12
[2,7,6,3,4,1,5]=>[2,3,2]=>7
[2,7,6,3,4,5,1]=>[2,4,1]=>8
[2,7,6,3,5,1,4]=>[2,3,2]=>7
[2,7,6,3,5,4,1]=>[2,3,1,1]=>13
[2,7,6,4,1,3,5]=>[2,2,3]=>6
[2,7,6,4,1,5,3]=>[2,2,2,1]=>12
[2,7,6,4,3,1,5]=>[2,2,1,2]=>11
[2,7,6,4,3,5,1]=>[2,2,2,1]=>12
[2,7,6,4,5,1,3]=>[2,3,2]=>7
[2,7,6,4,5,3,1]=>[2,3,1,1]=>13
[2,7,6,5,1,3,4]=>[2,1,4]=>5
[2,7,6,5,1,4,3]=>[2,1,3,1]=>11
[2,7,6,5,3,1,4]=>[2,1,2,2]=>10
[2,7,6,5,3,4,1]=>[2,1,3,1]=>11
[2,7,6,5,4,1,3]=>[2,1,2,2]=>10
[2,7,6,5,4,3,1]=>[2,1,2,1,1]=>16
[3,1,2,4,5,6,7]=>[7]=>0
[3,1,2,4,5,7,6]=>[5,2]=>5
[3,1,2,4,6,5,7]=>[4,3]=>4
[3,1,2,4,6,7,5]=>[4,3]=>4
[3,1,2,4,7,5,6]=>[4,3]=>4
[3,1,2,4,7,6,5]=>[4,2,1]=>10
[3,1,2,5,4,6,7]=>[3,4]=>3
[3,1,2,5,4,7,6]=>[3,2,2]=>8
[3,1,2,5,6,4,7]=>[3,4]=>3
[3,1,2,5,6,7,4]=>[3,4]=>3
[3,1,2,5,7,4,6]=>[3,4]=>3
[3,1,2,5,7,6,4]=>[3,3,1]=>9
[3,1,2,6,4,5,7]=>[3,4]=>3
[3,1,2,6,4,7,5]=>[3,2,2]=>8
[3,1,2,6,5,4,7]=>[3,2,2]=>8
[3,1,2,6,5,7,4]=>[3,2,2]=>8
[3,1,2,6,7,4,5]=>[3,4]=>3
[3,1,2,6,7,5,4]=>[3,3,1]=>9
[3,1,2,7,4,5,6]=>[3,4]=>3
[3,1,2,7,4,6,5]=>[3,3,1]=>9
[3,1,2,7,5,4,6]=>[3,2,2]=>8
[3,1,2,7,5,6,4]=>[3,3,1]=>9
[3,1,2,7,6,4,5]=>[3,1,3]=>7
[3,1,2,7,6,5,4]=>[3,1,2,1]=>13
[3,1,4,2,5,6,7]=>[2,5]=>2
[3,1,4,2,5,7,6]=>[2,3,2]=>7
[3,1,4,2,6,5,7]=>[2,2,3]=>6
[3,1,4,2,6,7,5]=>[2,2,3]=>6
[3,1,4,2,7,5,6]=>[2,2,3]=>6
[3,1,4,2,7,6,5]=>[2,2,2,1]=>12
[3,1,4,5,2,6,7]=>[2,5]=>2
[3,1,4,5,2,7,6]=>[2,3,2]=>7
[3,1,4,5,6,2,7]=>[2,5]=>2
[3,1,4,5,6,7,2]=>[2,5]=>2
[3,1,4,5,7,2,6]=>[2,5]=>2
[3,1,4,5,7,6,2]=>[2,4,1]=>8
[3,1,4,6,2,5,7]=>[2,5]=>2
[3,1,4,6,2,7,5]=>[2,3,2]=>7
[3,1,4,6,5,2,7]=>[2,3,2]=>7
[3,1,4,6,5,7,2]=>[2,3,2]=>7
[3,1,4,6,7,2,5]=>[2,5]=>2
[3,1,4,6,7,5,2]=>[2,4,1]=>8
[3,1,4,7,2,5,6]=>[2,5]=>2
[3,1,4,7,2,6,5]=>[2,4,1]=>8
[3,1,4,7,5,2,6]=>[2,3,2]=>7
[3,1,4,7,5,6,2]=>[2,4,1]=>8
[3,1,4,7,6,2,5]=>[2,2,3]=>6
[3,1,4,7,6,5,2]=>[2,2,2,1]=>12
[3,1,5,2,4,6,7]=>[2,5]=>2
[3,1,5,2,4,7,6]=>[2,3,2]=>7
[3,1,5,2,6,4,7]=>[2,2,3]=>6
[3,1,5,2,6,7,4]=>[2,2,3]=>6
[3,1,5,2,7,4,6]=>[2,2,3]=>6
[3,1,5,2,7,6,4]=>[2,2,2,1]=>12
[3,1,5,4,2,6,7]=>[2,2,3]=>6
[3,1,5,4,2,7,6]=>[2,2,1,2]=>11
[3,1,5,4,6,2,7]=>[2,2,3]=>6
[3,1,5,4,6,7,2]=>[2,2,3]=>6
[3,1,5,4,7,2,6]=>[2,2,3]=>6
[3,1,5,4,7,6,2]=>[2,2,2,1]=>12
[3,1,5,6,2,4,7]=>[2,5]=>2
[3,1,5,6,2,7,4]=>[2,3,2]=>7
[3,1,5,6,4,2,7]=>[2,3,2]=>7
[3,1,5,6,4,7,2]=>[2,3,2]=>7
[3,1,5,6,7,2,4]=>[2,5]=>2
[3,1,5,6,7,4,2]=>[2,4,1]=>8
[3,1,5,7,2,4,6]=>[2,5]=>2
[3,1,5,7,2,6,4]=>[2,4,1]=>8
[3,1,5,7,4,2,6]=>[2,3,2]=>7
[3,1,5,7,4,6,2]=>[2,4,1]=>8
[3,1,5,7,6,2,4]=>[2,2,3]=>6
[3,1,5,7,6,4,2]=>[2,2,2,1]=>12
[3,1,6,2,4,5,7]=>[2,5]=>2
[3,1,6,2,4,7,5]=>[2,3,2]=>7
[3,1,6,2,5,4,7]=>[2,3,2]=>7
[3,1,6,2,5,7,4]=>[2,3,2]=>7
[3,1,6,2,7,4,5]=>[2,2,3]=>6
[3,1,6,2,7,5,4]=>[2,2,2,1]=>12
[3,1,6,4,2,5,7]=>[2,2,3]=>6
[3,1,6,4,2,7,5]=>[2,2,1,2]=>11
[3,1,6,4,5,2,7]=>[2,3,2]=>7
[3,1,6,4,5,7,2]=>[2,3,2]=>7
[3,1,6,4,7,2,5]=>[2,2,3]=>6
[3,1,6,4,7,5,2]=>[2,2,2,1]=>12
[3,1,6,5,2,4,7]=>[2,1,4]=>5
[3,1,6,5,2,7,4]=>[2,1,2,2]=>10
[3,1,6,5,4,2,7]=>[2,1,2,2]=>10
[3,1,6,5,4,7,2]=>[2,1,2,2]=>10
[3,1,6,5,7,2,4]=>[2,1,4]=>5
[3,1,6,5,7,4,2]=>[2,1,3,1]=>11
[3,1,6,7,2,4,5]=>[2,5]=>2
[3,1,6,7,2,5,4]=>[2,4,1]=>8
[3,1,6,7,4,2,5]=>[2,3,2]=>7
[3,1,6,7,4,5,2]=>[2,4,1]=>8
[3,1,6,7,5,2,4]=>[2,3,2]=>7
[3,1,6,7,5,4,2]=>[2,3,1,1]=>13
[3,1,7,2,4,5,6]=>[2,5]=>2
[3,1,7,2,4,6,5]=>[2,4,1]=>8
[3,1,7,2,5,4,6]=>[2,3,2]=>7
[3,1,7,2,5,6,4]=>[2,4,1]=>8
[3,1,7,2,6,4,5]=>[2,2,3]=>6
[3,1,7,2,6,5,4]=>[2,2,2,1]=>12
[3,1,7,4,2,5,6]=>[2,2,3]=>6
[3,1,7,4,2,6,5]=>[2,2,2,1]=>12
[3,1,7,4,5,2,6]=>[2,3,2]=>7
[3,1,7,4,5,6,2]=>[2,4,1]=>8
[3,1,7,4,6,2,5]=>[2,2,3]=>6
[3,1,7,4,6,5,2]=>[2,2,2,1]=>12
[3,1,7,5,2,4,6]=>[2,1,4]=>5
[3,1,7,5,2,6,4]=>[2,1,3,1]=>11
[3,1,7,5,4,2,6]=>[2,1,2,2]=>10
[3,1,7,5,4,6,2]=>[2,1,3,1]=>11
[3,1,7,5,6,2,4]=>[2,1,4]=>5
[3,1,7,5,6,4,2]=>[2,1,3,1]=>11
[3,1,7,6,2,4,5]=>[2,1,4]=>5
[3,1,7,6,2,5,4]=>[2,1,3,1]=>11
[3,1,7,6,4,2,5]=>[2,1,2,2]=>10
[3,1,7,6,4,5,2]=>[2,1,3,1]=>11
[3,1,7,6,5,2,4]=>[2,1,2,2]=>10
[3,1,7,6,5,4,2]=>[2,1,2,1,1]=>16
[3,2,1,4,5,6,7]=>[2,5]=>2
[3,2,1,4,5,7,6]=>[2,3,2]=>7
[3,2,1,4,6,5,7]=>[2,2,3]=>6
[3,2,1,4,6,7,5]=>[2,2,3]=>6
[3,2,1,4,7,5,6]=>[2,2,3]=>6
[3,2,1,4,7,6,5]=>[2,2,2,1]=>12
[3,2,1,5,4,6,7]=>[2,1,4]=>5
[3,2,1,5,4,7,6]=>[2,1,2,2]=>10
[3,2,1,5,6,4,7]=>[2,1,4]=>5
[3,2,1,5,6,7,4]=>[2,1,4]=>5
[3,2,1,5,7,4,6]=>[2,1,4]=>5
[3,2,1,5,7,6,4]=>[2,1,3,1]=>11
[3,2,1,6,4,5,7]=>[2,1,4]=>5
[3,2,1,6,4,7,5]=>[2,1,2,2]=>10
[3,2,1,6,5,4,7]=>[2,1,2,2]=>10
[3,2,1,6,5,7,4]=>[2,1,2,2]=>10
[3,2,1,6,7,4,5]=>[2,1,4]=>5
[3,2,1,6,7,5,4]=>[2,1,3,1]=>11
[3,2,1,7,4,5,6]=>[2,1,4]=>5
[3,2,1,7,4,6,5]=>[2,1,3,1]=>11
[3,2,1,7,5,4,6]=>[2,1,2,2]=>10
[3,2,1,7,5,6,4]=>[2,1,3,1]=>11
[3,2,1,7,6,4,5]=>[2,1,1,3]=>9
[3,2,1,7,6,5,4]=>[2,1,1,2,1]=>15
[3,2,4,1,5,6,7]=>[2,5]=>2
[3,2,4,1,5,7,6]=>[2,3,2]=>7
[3,2,4,1,6,5,7]=>[2,2,3]=>6
[3,2,4,1,6,7,5]=>[2,2,3]=>6
[3,2,4,1,7,5,6]=>[2,2,3]=>6
[3,2,4,1,7,6,5]=>[2,2,2,1]=>12
[3,2,4,5,1,6,7]=>[2,5]=>2
[3,2,4,5,1,7,6]=>[2,3,2]=>7
[3,2,4,5,6,1,7]=>[2,5]=>2
[3,2,4,5,6,7,1]=>[2,5]=>2
[3,2,4,5,7,1,6]=>[2,5]=>2
[3,2,4,5,7,6,1]=>[2,4,1]=>8
[3,2,4,6,1,5,7]=>[2,5]=>2
[3,2,4,6,1,7,5]=>[2,3,2]=>7
[3,2,4,6,5,1,7]=>[2,3,2]=>7
[3,2,4,6,5,7,1]=>[2,3,2]=>7
[3,2,4,6,7,1,5]=>[2,5]=>2
[3,2,4,6,7,5,1]=>[2,4,1]=>8
[3,2,4,7,1,5,6]=>[2,5]=>2
[3,2,4,7,1,6,5]=>[2,4,1]=>8
[3,2,4,7,5,1,6]=>[2,3,2]=>7
[3,2,4,7,5,6,1]=>[2,4,1]=>8
[3,2,4,7,6,1,5]=>[2,2,3]=>6
[3,2,4,7,6,5,1]=>[2,2,2,1]=>12
[3,2,5,1,4,6,7]=>[2,5]=>2
[3,2,5,1,4,7,6]=>[2,3,2]=>7
[3,2,5,1,6,4,7]=>[2,2,3]=>6
[3,2,5,1,6,7,4]=>[2,2,3]=>6
[3,2,5,1,7,4,6]=>[2,2,3]=>6
[3,2,5,1,7,6,4]=>[2,2,2,1]=>12
[3,2,5,4,1,6,7]=>[2,2,3]=>6
[3,2,5,4,1,7,6]=>[2,2,1,2]=>11
[3,2,5,4,6,1,7]=>[2,2,3]=>6
[3,2,5,4,6,7,1]=>[2,2,3]=>6
[3,2,5,4,7,1,6]=>[2,2,3]=>6
[3,2,5,4,7,6,1]=>[2,2,2,1]=>12
[3,2,5,6,1,4,7]=>[2,5]=>2
[3,2,5,6,1,7,4]=>[2,3,2]=>7
[3,2,5,6,4,1,7]=>[2,3,2]=>7
[3,2,5,6,4,7,1]=>[2,3,2]=>7
[3,2,5,6,7,1,4]=>[2,5]=>2
[3,2,5,6,7,4,1]=>[2,4,1]=>8
[3,2,5,7,1,4,6]=>[2,5]=>2
[3,2,5,7,1,6,4]=>[2,4,1]=>8
[3,2,5,7,4,1,6]=>[2,3,2]=>7
[3,2,5,7,4,6,1]=>[2,4,1]=>8
[3,2,5,7,6,1,4]=>[2,2,3]=>6
[3,2,5,7,6,4,1]=>[2,2,2,1]=>12
[3,2,6,1,4,5,7]=>[2,5]=>2
[3,2,6,1,4,7,5]=>[2,3,2]=>7
[3,2,6,1,5,4,7]=>[2,3,2]=>7
[3,2,6,1,5,7,4]=>[2,3,2]=>7
[3,2,6,1,7,4,5]=>[2,2,3]=>6
[3,2,6,1,7,5,4]=>[2,2,2,1]=>12
[3,2,6,4,1,5,7]=>[2,2,3]=>6
[3,2,6,4,1,7,5]=>[2,2,1,2]=>11
[3,2,6,4,5,1,7]=>[2,3,2]=>7
[3,2,6,4,5,7,1]=>[2,3,2]=>7
[3,2,6,4,7,1,5]=>[2,2,3]=>6
[3,2,6,4,7,5,1]=>[2,2,2,1]=>12
[3,2,6,5,1,4,7]=>[2,1,4]=>5
[3,2,6,5,1,7,4]=>[2,1,2,2]=>10
[3,2,6,5,4,1,7]=>[2,1,2,2]=>10
[3,2,6,5,4,7,1]=>[2,1,2,2]=>10
[3,2,6,5,7,1,4]=>[2,1,4]=>5
[3,2,6,5,7,4,1]=>[2,1,3,1]=>11
[3,2,6,7,1,4,5]=>[2,5]=>2
[3,2,6,7,1,5,4]=>[2,4,1]=>8
[3,2,6,7,4,1,5]=>[2,3,2]=>7
[3,2,6,7,4,5,1]=>[2,4,1]=>8
[3,2,6,7,5,1,4]=>[2,3,2]=>7
[3,2,6,7,5,4,1]=>[2,3,1,1]=>13
[3,2,7,1,4,5,6]=>[2,5]=>2
[3,2,7,1,4,6,5]=>[2,4,1]=>8
[3,2,7,1,5,4,6]=>[2,3,2]=>7
[3,2,7,1,5,6,4]=>[2,4,1]=>8
[3,2,7,1,6,4,5]=>[2,2,3]=>6
[3,2,7,1,6,5,4]=>[2,2,2,1]=>12
[3,2,7,4,1,5,6]=>[2,2,3]=>6
[3,2,7,4,1,6,5]=>[2,2,2,1]=>12
[3,2,7,4,5,1,6]=>[2,3,2]=>7
[3,2,7,4,5,6,1]=>[2,4,1]=>8
[3,2,7,4,6,1,5]=>[2,2,3]=>6
[3,2,7,4,6,5,1]=>[2,2,2,1]=>12
[3,2,7,5,1,4,6]=>[2,1,4]=>5
[3,2,7,5,1,6,4]=>[2,1,3,1]=>11
[3,2,7,5,4,1,6]=>[2,1,2,2]=>10
[3,2,7,5,4,6,1]=>[2,1,3,1]=>11
[3,2,7,5,6,1,4]=>[2,1,4]=>5
[3,2,7,5,6,4,1]=>[2,1,3,1]=>11
[3,2,7,6,1,4,5]=>[2,1,4]=>5
[3,2,7,6,1,5,4]=>[2,1,3,1]=>11
[3,2,7,6,4,1,5]=>[2,1,2,2]=>10
[3,2,7,6,4,5,1]=>[2,1,3,1]=>11
[3,2,7,6,5,1,4]=>[2,1,2,2]=>10
[3,2,7,6,5,4,1]=>[2,1,2,1,1]=>16
[3,4,1,2,5,6,7]=>[7]=>0
[3,4,1,2,5,7,6]=>[5,2]=>5
[3,4,1,2,6,5,7]=>[4,3]=>4
[3,4,1,2,6,7,5]=>[4,3]=>4
[3,4,1,2,7,5,6]=>[4,3]=>4
[3,4,1,2,7,6,5]=>[4,2,1]=>10
[3,4,1,5,2,6,7]=>[3,4]=>3
[3,4,1,5,2,7,6]=>[3,2,2]=>8
[3,4,1,5,6,2,7]=>[3,4]=>3
[3,4,1,5,6,7,2]=>[3,4]=>3
[3,4,1,5,7,2,6]=>[3,4]=>3
[3,4,1,5,7,6,2]=>[3,3,1]=>9
[3,4,1,6,2,5,7]=>[3,4]=>3
[3,4,1,6,2,7,5]=>[3,2,2]=>8
[3,4,1,6,5,2,7]=>[3,2,2]=>8
[3,4,1,6,5,7,2]=>[3,2,2]=>8
[3,4,1,6,7,2,5]=>[3,4]=>3
[3,4,1,6,7,5,2]=>[3,3,1]=>9
[3,4,1,7,2,5,6]=>[3,4]=>3
[3,4,1,7,2,6,5]=>[3,3,1]=>9
[3,4,1,7,5,2,6]=>[3,2,2]=>8
[3,4,1,7,5,6,2]=>[3,3,1]=>9
[3,4,1,7,6,2,5]=>[3,1,3]=>7
[3,4,1,7,6,5,2]=>[3,1,2,1]=>13
[3,4,2,1,5,6,7]=>[3,4]=>3
[3,4,2,1,5,7,6]=>[3,2,2]=>8
[3,4,2,1,6,5,7]=>[3,1,3]=>7
[3,4,2,1,6,7,5]=>[3,1,3]=>7
[3,4,2,1,7,5,6]=>[3,1,3]=>7
[3,4,2,1,7,6,5]=>[3,1,2,1]=>13
[3,4,2,5,1,6,7]=>[3,4]=>3
[3,4,2,5,1,7,6]=>[3,2,2]=>8
[3,4,2,5,6,1,7]=>[3,4]=>3
[3,4,2,5,6,7,1]=>[3,4]=>3
[3,4,2,5,7,1,6]=>[3,4]=>3
[3,4,2,5,7,6,1]=>[3,3,1]=>9
[3,4,2,6,1,5,7]=>[3,4]=>3
[3,4,2,6,1,7,5]=>[3,2,2]=>8
[3,4,2,6,5,1,7]=>[3,2,2]=>8
[3,4,2,6,5,7,1]=>[3,2,2]=>8
[3,4,2,6,7,1,5]=>[3,4]=>3
[3,4,2,6,7,5,1]=>[3,3,1]=>9
[3,4,2,7,1,5,6]=>[3,4]=>3
[3,4,2,7,1,6,5]=>[3,3,1]=>9
[3,4,2,7,5,1,6]=>[3,2,2]=>8
[3,4,2,7,5,6,1]=>[3,3,1]=>9
[3,4,2,7,6,1,5]=>[3,1,3]=>7
[3,4,2,7,6,5,1]=>[3,1,2,1]=>13
[3,4,5,1,2,6,7]=>[7]=>0
[3,4,5,1,2,7,6]=>[5,2]=>5
[3,4,5,1,6,2,7]=>[4,3]=>4
[3,4,5,1,6,7,2]=>[4,3]=>4
[3,4,5,1,7,2,6]=>[4,3]=>4
[3,4,5,1,7,6,2]=>[4,2,1]=>10
[3,4,5,2,1,6,7]=>[4,3]=>4
[3,4,5,2,1,7,6]=>[4,1,2]=>9
[3,4,5,2,6,1,7]=>[4,3]=>4
[3,4,5,2,6,7,1]=>[4,3]=>4
[3,4,5,2,7,1,6]=>[4,3]=>4
[3,4,5,2,7,6,1]=>[4,2,1]=>10
[3,4,5,6,1,2,7]=>[7]=>0
[3,4,5,6,1,7,2]=>[5,2]=>5
[3,4,5,6,2,1,7]=>[5,2]=>5
[3,4,5,6,2,7,1]=>[5,2]=>5
[3,4,5,6,7,1,2]=>[7]=>0
[3,4,5,6,7,2,1]=>[6,1]=>6
[3,4,5,7,1,2,6]=>[7]=>0
[3,4,5,7,1,6,2]=>[6,1]=>6
[3,4,5,7,2,1,6]=>[5,2]=>5
[3,4,5,7,2,6,1]=>[6,1]=>6
[3,4,5,7,6,1,2]=>[4,3]=>4
[3,4,5,7,6,2,1]=>[4,2,1]=>10
[3,4,6,1,2,5,7]=>[7]=>0
[3,4,6,1,2,7,5]=>[5,2]=>5
[3,4,6,1,5,2,7]=>[5,2]=>5
[3,4,6,1,5,7,2]=>[5,2]=>5
[3,4,6,1,7,2,5]=>[4,3]=>4
[3,4,6,1,7,5,2]=>[4,2,1]=>10
[3,4,6,2,1,5,7]=>[4,3]=>4
[3,4,6,2,1,7,5]=>[4,1,2]=>9
[3,4,6,2,5,1,7]=>[5,2]=>5
[3,4,6,2,5,7,1]=>[5,2]=>5
[3,4,6,2,7,1,5]=>[4,3]=>4
[3,4,6,2,7,5,1]=>[4,2,1]=>10
[3,4,6,5,1,2,7]=>[3,4]=>3
[3,4,6,5,1,7,2]=>[3,2,2]=>8
[3,4,6,5,2,1,7]=>[3,2,2]=>8
[3,4,6,5,2,7,1]=>[3,2,2]=>8
[3,4,6,5,7,1,2]=>[3,4]=>3
[3,4,6,5,7,2,1]=>[3,3,1]=>9
[3,4,6,7,1,2,5]=>[7]=>0
[3,4,6,7,1,5,2]=>[6,1]=>6
[3,4,6,7,2,1,5]=>[5,2]=>5
[3,4,6,7,2,5,1]=>[6,1]=>6
[3,4,6,7,5,1,2]=>[5,2]=>5
[3,4,6,7,5,2,1]=>[5,1,1]=>11
[3,4,7,1,2,5,6]=>[7]=>0
[3,4,7,1,2,6,5]=>[6,1]=>6
[3,4,7,1,5,2,6]=>[5,2]=>5
[3,4,7,1,5,6,2]=>[6,1]=>6
[3,4,7,1,6,2,5]=>[4,3]=>4
[3,4,7,1,6,5,2]=>[4,2,1]=>10
[3,4,7,2,1,5,6]=>[4,3]=>4
[3,4,7,2,1,6,5]=>[4,2,1]=>10
[3,4,7,2,5,1,6]=>[5,2]=>5
[3,4,7,2,5,6,1]=>[6,1]=>6
[3,4,7,2,6,1,5]=>[4,3]=>4
[3,4,7,2,6,5,1]=>[4,2,1]=>10
[3,4,7,5,1,2,6]=>[3,4]=>3
[3,4,7,5,1,6,2]=>[3,3,1]=>9
[3,4,7,5,2,1,6]=>[3,2,2]=>8
[3,4,7,5,2,6,1]=>[3,3,1]=>9
[3,4,7,5,6,1,2]=>[3,4]=>3
[3,4,7,5,6,2,1]=>[3,3,1]=>9
[3,4,7,6,1,2,5]=>[3,4]=>3
[3,4,7,6,1,5,2]=>[3,3,1]=>9
[3,4,7,6,2,1,5]=>[3,2,2]=>8
[3,4,7,6,2,5,1]=>[3,3,1]=>9
[3,4,7,6,5,1,2]=>[3,2,2]=>8
[3,4,7,6,5,2,1]=>[3,2,1,1]=>14
[3,5,1,2,4,6,7]=>[7]=>0
[3,5,1,2,4,7,6]=>[5,2]=>5
[3,5,1,2,6,4,7]=>[4,3]=>4
[3,5,1,2,6,7,4]=>[4,3]=>4
[3,5,1,2,7,4,6]=>[4,3]=>4
[3,5,1,2,7,6,4]=>[4,2,1]=>10
[3,5,1,4,2,6,7]=>[4,3]=>4
[3,5,1,4,2,7,6]=>[4,1,2]=>9
[3,5,1,4,6,2,7]=>[4,3]=>4
[3,5,1,4,6,7,2]=>[4,3]=>4
[3,5,1,4,7,2,6]=>[4,3]=>4
[3,5,1,4,7,6,2]=>[4,2,1]=>10
[3,5,1,6,2,4,7]=>[3,4]=>3
[3,5,1,6,2,7,4]=>[3,2,2]=>8
[3,5,1,6,4,2,7]=>[3,2,2]=>8
[3,5,1,6,4,7,2]=>[3,2,2]=>8
[3,5,1,6,7,2,4]=>[3,4]=>3
[3,5,1,6,7,4,2]=>[3,3,1]=>9
[3,5,1,7,2,4,6]=>[3,4]=>3
[3,5,1,7,2,6,4]=>[3,3,1]=>9
[3,5,1,7,4,2,6]=>[3,2,2]=>8
[3,5,1,7,4,6,2]=>[3,3,1]=>9
[3,5,1,7,6,2,4]=>[3,1,3]=>7
[3,5,1,7,6,4,2]=>[3,1,2,1]=>13
[3,5,2,1,4,6,7]=>[3,4]=>3
[3,5,2,1,4,7,6]=>[3,2,2]=>8
[3,5,2,1,6,4,7]=>[3,1,3]=>7
[3,5,2,1,6,7,4]=>[3,1,3]=>7
[3,5,2,1,7,4,6]=>[3,1,3]=>7
[3,5,2,1,7,6,4]=>[3,1,2,1]=>13
[3,5,2,4,1,6,7]=>[4,3]=>4
[3,5,2,4,1,7,6]=>[4,1,2]=>9
[3,5,2,4,6,1,7]=>[4,3]=>4
[3,5,2,4,6,7,1]=>[4,3]=>4
[3,5,2,4,7,1,6]=>[4,3]=>4
[3,5,2,4,7,6,1]=>[4,2,1]=>10
[3,5,2,6,1,4,7]=>[3,4]=>3
[3,5,2,6,1,7,4]=>[3,2,2]=>8
[3,5,2,6,4,1,7]=>[3,2,2]=>8
[3,5,2,6,4,7,1]=>[3,2,2]=>8
[3,5,2,6,7,1,4]=>[3,4]=>3
[3,5,2,6,7,4,1]=>[3,3,1]=>9
[3,5,2,7,1,4,6]=>[3,4]=>3
[3,5,2,7,1,6,4]=>[3,3,1]=>9
[3,5,2,7,4,1,6]=>[3,2,2]=>8
[3,5,2,7,4,6,1]=>[3,3,1]=>9
[3,5,2,7,6,1,4]=>[3,1,3]=>7
[3,5,2,7,6,4,1]=>[3,1,2,1]=>13
[3,5,4,1,2,6,7]=>[2,5]=>2
[3,5,4,1,2,7,6]=>[2,3,2]=>7
[3,5,4,1,6,2,7]=>[2,2,3]=>6
[3,5,4,1,6,7,2]=>[2,2,3]=>6
[3,5,4,1,7,2,6]=>[2,2,3]=>6
[3,5,4,1,7,6,2]=>[2,2,2,1]=>12
[3,5,4,2,1,6,7]=>[2,2,3]=>6
[3,5,4,2,1,7,6]=>[2,2,1,2]=>11
[3,5,4,2,6,1,7]=>[2,2,3]=>6
[3,5,4,2,6,7,1]=>[2,2,3]=>6
[3,5,4,2,7,1,6]=>[2,2,3]=>6
[3,5,4,2,7,6,1]=>[2,2,2,1]=>12
[3,5,4,6,1,2,7]=>[2,5]=>2
[3,5,4,6,1,7,2]=>[2,3,2]=>7
[3,5,4,6,2,1,7]=>[2,3,2]=>7
[3,5,4,6,2,7,1]=>[2,3,2]=>7
[3,5,4,6,7,1,2]=>[2,5]=>2
[3,5,4,6,7,2,1]=>[2,4,1]=>8
[3,5,4,7,1,2,6]=>[2,5]=>2
[3,5,4,7,1,6,2]=>[2,4,1]=>8
[3,5,4,7,2,1,6]=>[2,3,2]=>7
[3,5,4,7,2,6,1]=>[2,4,1]=>8
[3,5,4,7,6,1,2]=>[2,2,3]=>6
[3,5,4,7,6,2,1]=>[2,2,2,1]=>12
[3,5,6,1,2,4,7]=>[7]=>0
[3,5,6,1,2,7,4]=>[5,2]=>5
[3,5,6,1,4,2,7]=>[5,2]=>5
[3,5,6,1,4,7,2]=>[5,2]=>5
[3,5,6,1,7,2,4]=>[4,3]=>4
[3,5,6,1,7,4,2]=>[4,2,1]=>10
[3,5,6,2,1,4,7]=>[4,3]=>4
[3,5,6,2,1,7,4]=>[4,1,2]=>9
[3,5,6,2,4,1,7]=>[5,2]=>5
[3,5,6,2,4,7,1]=>[5,2]=>5
[3,5,6,2,7,1,4]=>[4,3]=>4
[3,5,6,2,7,4,1]=>[4,2,1]=>10
[3,5,6,4,1,2,7]=>[4,3]=>4
[3,5,6,4,1,7,2]=>[4,1,2]=>9
[3,5,6,4,2,1,7]=>[4,1,2]=>9
[3,5,6,4,2,7,1]=>[4,1,2]=>9
[3,5,6,4,7,1,2]=>[4,3]=>4
[3,5,6,4,7,2,1]=>[4,2,1]=>10
[3,5,6,7,1,2,4]=>[7]=>0
[3,5,6,7,1,4,2]=>[6,1]=>6
[3,5,6,7,2,1,4]=>[5,2]=>5
[3,5,6,7,2,4,1]=>[6,1]=>6
[3,5,6,7,4,1,2]=>[5,2]=>5
[3,5,6,7,4,2,1]=>[5,1,1]=>11
[3,5,7,1,2,4,6]=>[7]=>0
[3,5,7,1,2,6,4]=>[6,1]=>6
[3,5,7,1,4,2,6]=>[5,2]=>5
[3,5,7,1,4,6,2]=>[6,1]=>6
[3,5,7,1,6,2,4]=>[4,3]=>4
[3,5,7,1,6,4,2]=>[4,2,1]=>10
[3,5,7,2,1,4,6]=>[4,3]=>4
[3,5,7,2,1,6,4]=>[4,2,1]=>10
[3,5,7,2,4,1,6]=>[5,2]=>5
[3,5,7,2,4,6,1]=>[6,1]=>6
[3,5,7,2,6,1,4]=>[4,3]=>4
[3,5,7,2,6,4,1]=>[4,2,1]=>10
[3,5,7,4,1,2,6]=>[4,3]=>4
[3,5,7,4,1,6,2]=>[4,2,1]=>10
[3,5,7,4,2,1,6]=>[4,1,2]=>9
[3,5,7,4,2,6,1]=>[4,2,1]=>10
[3,5,7,4,6,1,2]=>[4,3]=>4
[3,5,7,4,6,2,1]=>[4,2,1]=>10
[3,5,7,6,1,2,4]=>[3,4]=>3
[3,5,7,6,1,4,2]=>[3,3,1]=>9
[3,5,7,6,2,1,4]=>[3,2,2]=>8
[3,5,7,6,2,4,1]=>[3,3,1]=>9
[3,5,7,6,4,1,2]=>[3,2,2]=>8
[3,5,7,6,4,2,1]=>[3,2,1,1]=>14
[3,6,1,2,4,5,7]=>[7]=>0
[3,6,1,2,4,7,5]=>[5,2]=>5
[3,6,1,2,5,4,7]=>[5,2]=>5
[3,6,1,2,5,7,4]=>[5,2]=>5
[3,6,1,2,7,4,5]=>[4,3]=>4
[3,6,1,2,7,5,4]=>[4,2,1]=>10
[3,6,1,4,2,5,7]=>[4,3]=>4
[3,6,1,4,2,7,5]=>[4,1,2]=>9
[3,6,1,4,5,2,7]=>[5,2]=>5
[3,6,1,4,5,7,2]=>[5,2]=>5
[3,6,1,4,7,2,5]=>[4,3]=>4
[3,6,1,4,7,5,2]=>[4,2,1]=>10
[3,6,1,5,2,4,7]=>[3,4]=>3
[3,6,1,5,2,7,4]=>[3,2,2]=>8
[3,6,1,5,4,2,7]=>[3,2,2]=>8
[3,6,1,5,4,7,2]=>[3,2,2]=>8
[3,6,1,5,7,2,4]=>[3,4]=>3
[3,6,1,5,7,4,2]=>[3,3,1]=>9
[3,6,1,7,2,4,5]=>[3,4]=>3
[3,6,1,7,2,5,4]=>[3,3,1]=>9
[3,6,1,7,4,2,5]=>[3,2,2]=>8
[3,6,1,7,4,5,2]=>[3,3,1]=>9
[3,6,1,7,5,2,4]=>[3,2,2]=>8
[3,6,1,7,5,4,2]=>[3,2,1,1]=>14
[3,6,2,1,4,5,7]=>[3,4]=>3
[3,6,2,1,4,7,5]=>[3,2,2]=>8
[3,6,2,1,5,4,7]=>[3,2,2]=>8
[3,6,2,1,5,7,4]=>[3,2,2]=>8
[3,6,2,1,7,4,5]=>[3,1,3]=>7
[3,6,2,1,7,5,4]=>[3,1,2,1]=>13
[3,6,2,4,1,5,7]=>[4,3]=>4
[3,6,2,4,1,7,5]=>[4,1,2]=>9
[3,6,2,4,5,1,7]=>[5,2]=>5
[3,6,2,4,5,7,1]=>[5,2]=>5
[3,6,2,4,7,1,5]=>[4,3]=>4
[3,6,2,4,7,5,1]=>[4,2,1]=>10
[3,6,2,5,1,4,7]=>[3,4]=>3
[3,6,2,5,1,7,4]=>[3,2,2]=>8
[3,6,2,5,4,1,7]=>[3,2,2]=>8
[3,6,2,5,4,7,1]=>[3,2,2]=>8
[3,6,2,5,7,1,4]=>[3,4]=>3
[3,6,2,5,7,4,1]=>[3,3,1]=>9
[3,6,2,7,1,4,5]=>[3,4]=>3
[3,6,2,7,1,5,4]=>[3,3,1]=>9
[3,6,2,7,4,1,5]=>[3,2,2]=>8
[3,6,2,7,4,5,1]=>[3,3,1]=>9
[3,6,2,7,5,1,4]=>[3,2,2]=>8
[3,6,2,7,5,4,1]=>[3,2,1,1]=>14
[3,6,4,1,2,5,7]=>[2,5]=>2
[3,6,4,1,2,7,5]=>[2,3,2]=>7
[3,6,4,1,5,2,7]=>[2,3,2]=>7
[3,6,4,1,5,7,2]=>[2,3,2]=>7
[3,6,4,1,7,2,5]=>[2,2,3]=>6
[3,6,4,1,7,5,2]=>[2,2,2,1]=>12
[3,6,4,2,1,5,7]=>[2,2,3]=>6
[3,6,4,2,1,7,5]=>[2,2,1,2]=>11
[3,6,4,2,5,1,7]=>[2,3,2]=>7
[3,6,4,2,5,7,1]=>[2,3,2]=>7
[3,6,4,2,7,1,5]=>[2,2,3]=>6
[3,6,4,2,7,5,1]=>[2,2,2,1]=>12
[3,6,4,5,1,2,7]=>[2,5]=>2
[3,6,4,5,1,7,2]=>[2,3,2]=>7
[3,6,4,5,2,1,7]=>[2,3,2]=>7
[3,6,4,5,2,7,1]=>[2,3,2]=>7
[3,6,4,5,7,1,2]=>[2,5]=>2
[3,6,4,5,7,2,1]=>[2,4,1]=>8
[3,6,4,7,1,2,5]=>[2,5]=>2
[3,6,4,7,1,5,2]=>[2,4,1]=>8
[3,6,4,7,2,1,5]=>[2,3,2]=>7
[3,6,4,7,2,5,1]=>[2,4,1]=>8
[3,6,4,7,5,1,2]=>[2,3,2]=>7
[3,6,4,7,5,2,1]=>[2,3,1,1]=>13
[3,6,5,1,2,4,7]=>[2,5]=>2
[3,6,5,1,2,7,4]=>[2,3,2]=>7
[3,6,5,1,4,2,7]=>[2,3,2]=>7
[3,6,5,1,4,7,2]=>[2,3,2]=>7
[3,6,5,1,7,2,4]=>[2,2,3]=>6
[3,6,5,1,7,4,2]=>[2,2,2,1]=>12
[3,6,5,2,1,4,7]=>[2,2,3]=>6
[3,6,5,2,1,7,4]=>[2,2,1,2]=>11
[3,6,5,2,4,1,7]=>[2,3,2]=>7
[3,6,5,2,4,7,1]=>[2,3,2]=>7
[3,6,5,2,7,1,4]=>[2,2,3]=>6
[3,6,5,2,7,4,1]=>[2,2,2,1]=>12
[3,6,5,4,1,2,7]=>[2,2,3]=>6
[3,6,5,4,1,7,2]=>[2,2,1,2]=>11
[3,6,5,4,2,1,7]=>[2,2,1,2]=>11
[3,6,5,4,2,7,1]=>[2,2,1,2]=>11
[3,6,5,4,7,1,2]=>[2,2,3]=>6
[3,6,5,4,7,2,1]=>[2,2,2,1]=>12
[3,6,5,7,1,2,4]=>[2,5]=>2
[3,6,5,7,1,4,2]=>[2,4,1]=>8
[3,6,5,7,2,1,4]=>[2,3,2]=>7
[3,6,5,7,2,4,1]=>[2,4,1]=>8
[3,6,5,7,4,1,2]=>[2,3,2]=>7
[3,6,5,7,4,2,1]=>[2,3,1,1]=>13
[3,6,7,1,2,4,5]=>[7]=>0
[3,6,7,1,2,5,4]=>[6,1]=>6
[3,6,7,1,4,2,5]=>[5,2]=>5
[3,6,7,1,4,5,2]=>[6,1]=>6
[3,6,7,1,5,2,4]=>[5,2]=>5
[3,6,7,1,5,4,2]=>[5,1,1]=>11
[3,6,7,2,1,4,5]=>[4,3]=>4
[3,6,7,2,1,5,4]=>[4,2,1]=>10
[3,6,7,2,4,1,5]=>[5,2]=>5
[3,6,7,2,4,5,1]=>[6,1]=>6
[3,6,7,2,5,1,4]=>[5,2]=>5
[3,6,7,2,5,4,1]=>[5,1,1]=>11
[3,6,7,4,1,2,5]=>[4,3]=>4
[3,6,7,4,1,5,2]=>[4,2,1]=>10
[3,6,7,4,2,1,5]=>[4,1,2]=>9
[3,6,7,4,2,5,1]=>[4,2,1]=>10
[3,6,7,4,5,1,2]=>[5,2]=>5
[3,6,7,4,5,2,1]=>[5,1,1]=>11
[3,6,7,5,1,2,4]=>[3,4]=>3
[3,6,7,5,1,4,2]=>[3,3,1]=>9
[3,6,7,5,2,1,4]=>[3,2,2]=>8
[3,6,7,5,2,4,1]=>[3,3,1]=>9
[3,6,7,5,4,1,2]=>[3,2,2]=>8
[3,6,7,5,4,2,1]=>[3,2,1,1]=>14
[3,7,1,2,4,5,6]=>[7]=>0
[3,7,1,2,4,6,5]=>[6,1]=>6
[3,7,1,2,5,4,6]=>[5,2]=>5
[3,7,1,2,5,6,4]=>[6,1]=>6
[3,7,1,2,6,4,5]=>[4,3]=>4
[3,7,1,2,6,5,4]=>[4,2,1]=>10
[3,7,1,4,2,5,6]=>[4,3]=>4
[3,7,1,4,2,6,5]=>[4,2,1]=>10
[3,7,1,4,5,2,6]=>[5,2]=>5
[3,7,1,4,5,6,2]=>[6,1]=>6
[3,7,1,4,6,2,5]=>[4,3]=>4
[3,7,1,4,6,5,2]=>[4,2,1]=>10
[3,7,1,5,2,4,6]=>[3,4]=>3
[3,7,1,5,2,6,4]=>[3,3,1]=>9
[3,7,1,5,4,2,6]=>[3,2,2]=>8
[3,7,1,5,4,6,2]=>[3,3,1]=>9
[3,7,1,5,6,2,4]=>[3,4]=>3
[3,7,1,5,6,4,2]=>[3,3,1]=>9
[3,7,1,6,2,4,5]=>[3,4]=>3
[3,7,1,6,2,5,4]=>[3,3,1]=>9
[3,7,1,6,4,2,5]=>[3,2,2]=>8
[3,7,1,6,4,5,2]=>[3,3,1]=>9
[3,7,1,6,5,2,4]=>[3,2,2]=>8
[3,7,1,6,5,4,2]=>[3,2,1,1]=>14
[3,7,2,1,4,5,6]=>[3,4]=>3
[3,7,2,1,4,6,5]=>[3,3,1]=>9
[3,7,2,1,5,4,6]=>[3,2,2]=>8
[3,7,2,1,5,6,4]=>[3,3,1]=>9
[3,7,2,1,6,4,5]=>[3,1,3]=>7
[3,7,2,1,6,5,4]=>[3,1,2,1]=>13
[3,7,2,4,1,5,6]=>[4,3]=>4
[3,7,2,4,1,6,5]=>[4,2,1]=>10
[3,7,2,4,5,1,6]=>[5,2]=>5
[3,7,2,4,5,6,1]=>[6,1]=>6
[3,7,2,4,6,1,5]=>[4,3]=>4
[3,7,2,4,6,5,1]=>[4,2,1]=>10
[3,7,2,5,1,4,6]=>[3,4]=>3
[3,7,2,5,1,6,4]=>[3,3,1]=>9
[3,7,2,5,4,1,6]=>[3,2,2]=>8
[3,7,2,5,4,6,1]=>[3,3,1]=>9
[3,7,2,5,6,1,4]=>[3,4]=>3
[3,7,2,5,6,4,1]=>[3,3,1]=>9
[3,7,2,6,1,4,5]=>[3,4]=>3
[3,7,2,6,1,5,4]=>[3,3,1]=>9
[3,7,2,6,4,1,5]=>[3,2,2]=>8
[3,7,2,6,4,5,1]=>[3,3,1]=>9
[3,7,2,6,5,1,4]=>[3,2,2]=>8
[3,7,2,6,5,4,1]=>[3,2,1,1]=>14
[3,7,4,1,2,5,6]=>[2,5]=>2
[3,7,4,1,2,6,5]=>[2,4,1]=>8
[3,7,4,1,5,2,6]=>[2,3,2]=>7
[3,7,4,1,5,6,2]=>[2,4,1]=>8
[3,7,4,1,6,2,5]=>[2,2,3]=>6
[3,7,4,1,6,5,2]=>[2,2,2,1]=>12
[3,7,4,2,1,5,6]=>[2,2,3]=>6
[3,7,4,2,1,6,5]=>[2,2,2,1]=>12
[3,7,4,2,5,1,6]=>[2,3,2]=>7
[3,7,4,2,5,6,1]=>[2,4,1]=>8
[3,7,4,2,6,1,5]=>[2,2,3]=>6
[3,7,4,2,6,5,1]=>[2,2,2,1]=>12
[3,7,4,5,1,2,6]=>[2,5]=>2
[3,7,4,5,1,6,2]=>[2,4,1]=>8
[3,7,4,5,2,1,6]=>[2,3,2]=>7
[3,7,4,5,2,6,1]=>[2,4,1]=>8
[3,7,4,5,6,1,2]=>[2,5]=>2
[3,7,4,5,6,2,1]=>[2,4,1]=>8
[3,7,4,6,1,2,5]=>[2,5]=>2
[3,7,4,6,1,5,2]=>[2,4,1]=>8
[3,7,4,6,2,1,5]=>[2,3,2]=>7
[3,7,4,6,2,5,1]=>[2,4,1]=>8
[3,7,4,6,5,1,2]=>[2,3,2]=>7
[3,7,4,6,5,2,1]=>[2,3,1,1]=>13
[3,7,5,1,2,4,6]=>[2,5]=>2
[3,7,5,1,2,6,4]=>[2,4,1]=>8
[3,7,5,1,4,2,6]=>[2,3,2]=>7
[3,7,5,1,4,6,2]=>[2,4,1]=>8
[3,7,5,1,6,2,4]=>[2,2,3]=>6
[3,7,5,1,6,4,2]=>[2,2,2,1]=>12
[3,7,5,2,1,4,6]=>[2,2,3]=>6
[3,7,5,2,1,6,4]=>[2,2,2,1]=>12
[3,7,5,2,4,1,6]=>[2,3,2]=>7
[3,7,5,2,4,6,1]=>[2,4,1]=>8
[3,7,5,2,6,1,4]=>[2,2,3]=>6
[3,7,5,2,6,4,1]=>[2,2,2,1]=>12
[3,7,5,4,1,2,6]=>[2,2,3]=>6
[3,7,5,4,1,6,2]=>[2,2,2,1]=>12
[3,7,5,4,2,1,6]=>[2,2,1,2]=>11
[3,7,5,4,2,6,1]=>[2,2,2,1]=>12
[3,7,5,4,6,1,2]=>[2,2,3]=>6
[3,7,5,4,6,2,1]=>[2,2,2,1]=>12
[3,7,5,6,1,2,4]=>[2,5]=>2
[3,7,5,6,1,4,2]=>[2,4,1]=>8
[3,7,5,6,2,1,4]=>[2,3,2]=>7
[3,7,5,6,2,4,1]=>[2,4,1]=>8
[3,7,5,6,4,1,2]=>[2,3,2]=>7
[3,7,5,6,4,2,1]=>[2,3,1,1]=>13
[3,7,6,1,2,4,5]=>[2,5]=>2
[3,7,6,1,2,5,4]=>[2,4,1]=>8
[3,7,6,1,4,2,5]=>[2,3,2]=>7
[3,7,6,1,4,5,2]=>[2,4,1]=>8
[3,7,6,1,5,2,4]=>[2,3,2]=>7
[3,7,6,1,5,4,2]=>[2,3,1,1]=>13
[3,7,6,2,1,4,5]=>[2,2,3]=>6
[3,7,6,2,1,5,4]=>[2,2,2,1]=>12
[3,7,6,2,4,1,5]=>[2,3,2]=>7
[3,7,6,2,4,5,1]=>[2,4,1]=>8
[3,7,6,2,5,1,4]=>[2,3,2]=>7
[3,7,6,2,5,4,1]=>[2,3,1,1]=>13
[3,7,6,4,1,2,5]=>[2,2,3]=>6
[3,7,6,4,1,5,2]=>[2,2,2,1]=>12
[3,7,6,4,2,1,5]=>[2,2,1,2]=>11
[3,7,6,4,2,5,1]=>[2,2,2,1]=>12
[3,7,6,4,5,1,2]=>[2,3,2]=>7
[3,7,6,4,5,2,1]=>[2,3,1,1]=>13
[3,7,6,5,1,2,4]=>[2,1,4]=>5
[3,7,6,5,1,4,2]=>[2,1,3,1]=>11
[3,7,6,5,2,1,4]=>[2,1,2,2]=>10
[3,7,6,5,2,4,1]=>[2,1,3,1]=>11
[3,7,6,5,4,1,2]=>[2,1,2,2]=>10
[3,7,6,5,4,2,1]=>[2,1,2,1,1]=>16
[4,1,2,3,5,6,7]=>[7]=>0
[4,1,2,3,5,7,6]=>[5,2]=>5
[4,1,2,3,6,5,7]=>[4,3]=>4
[4,1,2,3,6,7,5]=>[4,3]=>4
[4,1,2,3,7,5,6]=>[4,3]=>4
[4,1,2,3,7,6,5]=>[4,2,1]=>10
[4,1,2,5,3,6,7]=>[3,4]=>3
[4,1,2,5,3,7,6]=>[3,2,2]=>8
[4,1,2,5,6,3,7]=>[3,4]=>3
[4,1,2,5,6,7,3]=>[3,4]=>3
[4,1,2,5,7,3,6]=>[3,4]=>3
[4,1,2,5,7,6,3]=>[3,3,1]=>9
[4,1,2,6,3,5,7]=>[3,4]=>3
[4,1,2,6,3,7,5]=>[3,2,2]=>8
[4,1,2,6,5,3,7]=>[3,2,2]=>8
[4,1,2,6,5,7,3]=>[3,2,2]=>8
[4,1,2,6,7,3,5]=>[3,4]=>3
[4,1,2,6,7,5,3]=>[3,3,1]=>9
[4,1,2,7,3,5,6]=>[3,4]=>3
[4,1,2,7,3,6,5]=>[3,3,1]=>9
[4,1,2,7,5,3,6]=>[3,2,2]=>8
[4,1,2,7,5,6,3]=>[3,3,1]=>9
[4,1,2,7,6,3,5]=>[3,1,3]=>7
[4,1,2,7,6,5,3]=>[3,1,2,1]=>13
[4,1,3,2,5,6,7]=>[3,4]=>3
[4,1,3,2,5,7,6]=>[3,2,2]=>8
[4,1,3,2,6,5,7]=>[3,1,3]=>7
[4,1,3,2,6,7,5]=>[3,1,3]=>7
[4,1,3,2,7,5,6]=>[3,1,3]=>7
[4,1,3,2,7,6,5]=>[3,1,2,1]=>13
[4,1,3,5,2,6,7]=>[3,4]=>3
[4,1,3,5,2,7,6]=>[3,2,2]=>8
[4,1,3,5,6,2,7]=>[3,4]=>3
[4,1,3,5,6,7,2]=>[3,4]=>3
[4,1,3,5,7,2,6]=>[3,4]=>3
[4,1,3,5,7,6,2]=>[3,3,1]=>9
[4,1,3,6,2,5,7]=>[3,4]=>3
[4,1,3,6,2,7,5]=>[3,2,2]=>8
[4,1,3,6,5,2,7]=>[3,2,2]=>8
[4,1,3,6,5,7,2]=>[3,2,2]=>8
[4,1,3,6,7,2,5]=>[3,4]=>3
[4,1,3,6,7,5,2]=>[3,3,1]=>9
[4,1,3,7,2,5,6]=>[3,4]=>3
[4,1,3,7,2,6,5]=>[3,3,1]=>9
[4,1,3,7,5,2,6]=>[3,2,2]=>8
[4,1,3,7,5,6,2]=>[3,3,1]=>9
[4,1,3,7,6,2,5]=>[3,1,3]=>7
[4,1,3,7,6,5,2]=>[3,1,2,1]=>13
[4,1,5,2,3,6,7]=>[2,5]=>2
[4,1,5,2,3,7,6]=>[2,3,2]=>7
[4,1,5,2,6,3,7]=>[2,2,3]=>6
[4,1,5,2,6,7,3]=>[2,2,3]=>6
[4,1,5,2,7,3,6]=>[2,2,3]=>6
[4,1,5,2,7,6,3]=>[2,2,2,1]=>12
[4,1,5,3,2,6,7]=>[2,2,3]=>6
[4,1,5,3,2,7,6]=>[2,2,1,2]=>11
[4,1,5,3,6,2,7]=>[2,2,3]=>6
[4,1,5,3,6,7,2]=>[2,2,3]=>6
[4,1,5,3,7,2,6]=>[2,2,3]=>6
[4,1,5,3,7,6,2]=>[2,2,2,1]=>12
[4,1,5,6,2,3,7]=>[2,5]=>2
[4,1,5,6,2,7,3]=>[2,3,2]=>7
[4,1,5,6,3,2,7]=>[2,3,2]=>7
[4,1,5,6,3,7,2]=>[2,3,2]=>7
[4,1,5,6,7,2,3]=>[2,5]=>2
[4,1,5,6,7,3,2]=>[2,4,1]=>8
[4,1,5,7,2,3,6]=>[2,5]=>2
[4,1,5,7,2,6,3]=>[2,4,1]=>8
[4,1,5,7,3,2,6]=>[2,3,2]=>7
[4,1,5,7,3,6,2]=>[2,4,1]=>8
[4,1,5,7,6,2,3]=>[2,2,3]=>6
[4,1,5,7,6,3,2]=>[2,2,2,1]=>12
[4,1,6,2,3,5,7]=>[2,5]=>2
[4,1,6,2,3,7,5]=>[2,3,2]=>7
[4,1,6,2,5,3,7]=>[2,3,2]=>7
[4,1,6,2,5,7,3]=>[2,3,2]=>7
[4,1,6,2,7,3,5]=>[2,2,3]=>6
[4,1,6,2,7,5,3]=>[2,2,2,1]=>12
[4,1,6,3,2,5,7]=>[2,2,3]=>6
[4,1,6,3,2,7,5]=>[2,2,1,2]=>11
[4,1,6,3,5,2,7]=>[2,3,2]=>7
[4,1,6,3,5,7,2]=>[2,3,2]=>7
[4,1,6,3,7,2,5]=>[2,2,3]=>6
[4,1,6,3,7,5,2]=>[2,2,2,1]=>12
[4,1,6,5,2,3,7]=>[2,1,4]=>5
[4,1,6,5,2,7,3]=>[2,1,2,2]=>10
[4,1,6,5,3,2,7]=>[2,1,2,2]=>10
[4,1,6,5,3,7,2]=>[2,1,2,2]=>10
[4,1,6,5,7,2,3]=>[2,1,4]=>5
[4,1,6,5,7,3,2]=>[2,1,3,1]=>11
[4,1,6,7,2,3,5]=>[2,5]=>2
[4,1,6,7,2,5,3]=>[2,4,1]=>8
[4,1,6,7,3,2,5]=>[2,3,2]=>7
[4,1,6,7,3,5,2]=>[2,4,1]=>8
[4,1,6,7,5,2,3]=>[2,3,2]=>7
[4,1,6,7,5,3,2]=>[2,3,1,1]=>13
[4,1,7,2,3,5,6]=>[2,5]=>2
[4,1,7,2,3,6,5]=>[2,4,1]=>8
[4,1,7,2,5,3,6]=>[2,3,2]=>7
[4,1,7,2,5,6,3]=>[2,4,1]=>8
[4,1,7,2,6,3,5]=>[2,2,3]=>6
[4,1,7,2,6,5,3]=>[2,2,2,1]=>12
[4,1,7,3,2,5,6]=>[2,2,3]=>6
[4,1,7,3,2,6,5]=>[2,2,2,1]=>12
[4,1,7,3,5,2,6]=>[2,3,2]=>7
[4,1,7,3,5,6,2]=>[2,4,1]=>8
[4,1,7,3,6,2,5]=>[2,2,3]=>6
[4,1,7,3,6,5,2]=>[2,2,2,1]=>12
[4,1,7,5,2,3,6]=>[2,1,4]=>5
[4,1,7,5,2,6,3]=>[2,1,3,1]=>11
[4,1,7,5,3,2,6]=>[2,1,2,2]=>10
[4,1,7,5,3,6,2]=>[2,1,3,1]=>11
[4,1,7,5,6,2,3]=>[2,1,4]=>5
[4,1,7,5,6,3,2]=>[2,1,3,1]=>11
[4,1,7,6,2,3,5]=>[2,1,4]=>5
[4,1,7,6,2,5,3]=>[2,1,3,1]=>11
[4,1,7,6,3,2,5]=>[2,1,2,2]=>10
[4,1,7,6,3,5,2]=>[2,1,3,1]=>11
[4,1,7,6,5,2,3]=>[2,1,2,2]=>10
[4,1,7,6,5,3,2]=>[2,1,2,1,1]=>16
[4,2,1,3,5,6,7]=>[2,5]=>2
[4,2,1,3,5,7,6]=>[2,3,2]=>7
[4,2,1,3,6,5,7]=>[2,2,3]=>6
[4,2,1,3,6,7,5]=>[2,2,3]=>6
[4,2,1,3,7,5,6]=>[2,2,3]=>6
[4,2,1,3,7,6,5]=>[2,2,2,1]=>12
[4,2,1,5,3,6,7]=>[2,1,4]=>5
[4,2,1,5,3,7,6]=>[2,1,2,2]=>10
[4,2,1,5,6,3,7]=>[2,1,4]=>5
[4,2,1,5,6,7,3]=>[2,1,4]=>5
[4,2,1,5,7,3,6]=>[2,1,4]=>5
[4,2,1,5,7,6,3]=>[2,1,3,1]=>11
[4,2,1,6,3,5,7]=>[2,1,4]=>5
[4,2,1,6,3,7,5]=>[2,1,2,2]=>10
[4,2,1,6,5,3,7]=>[2,1,2,2]=>10
[4,2,1,6,5,7,3]=>[2,1,2,2]=>10
[4,2,1,6,7,3,5]=>[2,1,4]=>5
[4,2,1,6,7,5,3]=>[2,1,3,1]=>11
[4,2,1,7,3,5,6]=>[2,1,4]=>5
[4,2,1,7,3,6,5]=>[2,1,3,1]=>11
[4,2,1,7,5,3,6]=>[2,1,2,2]=>10
[4,2,1,7,5,6,3]=>[2,1,3,1]=>11
[4,2,1,7,6,3,5]=>[2,1,1,3]=>9
[4,2,1,7,6,5,3]=>[2,1,1,2,1]=>15
[4,2,3,1,5,6,7]=>[3,4]=>3
[4,2,3,1,5,7,6]=>[3,2,2]=>8
[4,2,3,1,6,5,7]=>[3,1,3]=>7
[4,2,3,1,6,7,5]=>[3,1,3]=>7
[4,2,3,1,7,5,6]=>[3,1,3]=>7
[4,2,3,1,7,6,5]=>[3,1,2,1]=>13
[4,2,3,5,1,6,7]=>[3,4]=>3
[4,2,3,5,1,7,6]=>[3,2,2]=>8
[4,2,3,5,6,1,7]=>[3,4]=>3
[4,2,3,5,6,7,1]=>[3,4]=>3
[4,2,3,5,7,1,6]=>[3,4]=>3
[4,2,3,5,7,6,1]=>[3,3,1]=>9
[4,2,3,6,1,5,7]=>[3,4]=>3
[4,2,3,6,1,7,5]=>[3,2,2]=>8
[4,2,3,6,5,1,7]=>[3,2,2]=>8
[4,2,3,6,5,7,1]=>[3,2,2]=>8
[4,2,3,6,7,1,5]=>[3,4]=>3
[4,2,3,6,7,5,1]=>[3,3,1]=>9
[4,2,3,7,1,5,6]=>[3,4]=>3
[4,2,3,7,1,6,5]=>[3,3,1]=>9
[4,2,3,7,5,1,6]=>[3,2,2]=>8
[4,2,3,7,5,6,1]=>[3,3,1]=>9
[4,2,3,7,6,1,5]=>[3,1,3]=>7
[4,2,3,7,6,5,1]=>[3,1,2,1]=>13
[4,2,5,1,3,6,7]=>[2,5]=>2
[4,2,5,1,3,7,6]=>[2,3,2]=>7
[4,2,5,1,6,3,7]=>[2,2,3]=>6
[4,2,5,1,6,7,3]=>[2,2,3]=>6
[4,2,5,1,7,3,6]=>[2,2,3]=>6
[4,2,5,1,7,6,3]=>[2,2,2,1]=>12
[4,2,5,3,1,6,7]=>[2,2,3]=>6
[4,2,5,3,1,7,6]=>[2,2,1,2]=>11
[4,2,5,3,6,1,7]=>[2,2,3]=>6
[4,2,5,3,6,7,1]=>[2,2,3]=>6
[4,2,5,3,7,1,6]=>[2,2,3]=>6
[4,2,5,3,7,6,1]=>[2,2,2,1]=>12
[4,2,5,6,1,3,7]=>[2,5]=>2
[4,2,5,6,1,7,3]=>[2,3,2]=>7
[4,2,5,6,3,1,7]=>[2,3,2]=>7
[4,2,5,6,3,7,1]=>[2,3,2]=>7
[4,2,5,6,7,1,3]=>[2,5]=>2
[4,2,5,6,7,3,1]=>[2,4,1]=>8
[4,2,5,7,1,3,6]=>[2,5]=>2
[4,2,5,7,1,6,3]=>[2,4,1]=>8
[4,2,5,7,3,1,6]=>[2,3,2]=>7
[4,2,5,7,3,6,1]=>[2,4,1]=>8
[4,2,5,7,6,1,3]=>[2,2,3]=>6
[4,2,5,7,6,3,1]=>[2,2,2,1]=>12
[4,2,6,1,3,5,7]=>[2,5]=>2
[4,2,6,1,3,7,5]=>[2,3,2]=>7
[4,2,6,1,5,3,7]=>[2,3,2]=>7
[4,2,6,1,5,7,3]=>[2,3,2]=>7
[4,2,6,1,7,3,5]=>[2,2,3]=>6
[4,2,6,1,7,5,3]=>[2,2,2,1]=>12
[4,2,6,3,1,5,7]=>[2,2,3]=>6
[4,2,6,3,1,7,5]=>[2,2,1,2]=>11
[4,2,6,3,5,1,7]=>[2,3,2]=>7
[4,2,6,3,5,7,1]=>[2,3,2]=>7
[4,2,6,3,7,1,5]=>[2,2,3]=>6
[4,2,6,3,7,5,1]=>[2,2,2,1]=>12
[4,2,6,5,1,3,7]=>[2,1,4]=>5
[4,2,6,5,1,7,3]=>[2,1,2,2]=>10
[4,2,6,5,3,1,7]=>[2,1,2,2]=>10
[4,2,6,5,3,7,1]=>[2,1,2,2]=>10
[4,2,6,5,7,1,3]=>[2,1,4]=>5
[4,2,6,5,7,3,1]=>[2,1,3,1]=>11
[4,2,6,7,1,3,5]=>[2,5]=>2
[4,2,6,7,1,5,3]=>[2,4,1]=>8
[4,2,6,7,3,1,5]=>[2,3,2]=>7
[4,2,6,7,3,5,1]=>[2,4,1]=>8
[4,2,6,7,5,1,3]=>[2,3,2]=>7
[4,2,6,7,5,3,1]=>[2,3,1,1]=>13
[4,2,7,1,3,5,6]=>[2,5]=>2
[4,2,7,1,3,6,5]=>[2,4,1]=>8
[4,2,7,1,5,3,6]=>[2,3,2]=>7
[4,2,7,1,5,6,3]=>[2,4,1]=>8
[4,2,7,1,6,3,5]=>[2,2,3]=>6
[4,2,7,1,6,5,3]=>[2,2,2,1]=>12
[4,2,7,3,1,5,6]=>[2,2,3]=>6
[4,2,7,3,1,6,5]=>[2,2,2,1]=>12
[4,2,7,3,5,1,6]=>[2,3,2]=>7
[4,2,7,3,5,6,1]=>[2,4,1]=>8
[4,2,7,3,6,1,5]=>[2,2,3]=>6
[4,2,7,3,6,5,1]=>[2,2,2,1]=>12
[4,2,7,5,1,3,6]=>[2,1,4]=>5
[4,2,7,5,1,6,3]=>[2,1,3,1]=>11
[4,2,7,5,3,1,6]=>[2,1,2,2]=>10
[4,2,7,5,3,6,1]=>[2,1,3,1]=>11
[4,2,7,5,6,1,3]=>[2,1,4]=>5
[4,2,7,5,6,3,1]=>[2,1,3,1]=>11
[4,2,7,6,1,3,5]=>[2,1,4]=>5
[4,2,7,6,1,5,3]=>[2,1,3,1]=>11
[4,2,7,6,3,1,5]=>[2,1,2,2]=>10
[4,2,7,6,3,5,1]=>[2,1,3,1]=>11
[4,2,7,6,5,1,3]=>[2,1,2,2]=>10
[4,2,7,6,5,3,1]=>[2,1,2,1,1]=>16
[4,3,1,2,5,6,7]=>[1,6]=>1
[4,3,1,2,5,7,6]=>[1,4,2]=>6
[4,3,1,2,6,5,7]=>[1,3,3]=>5
[4,3,1,2,6,7,5]=>[1,3,3]=>5
[4,3,1,2,7,5,6]=>[1,3,3]=>5
[4,3,1,2,7,6,5]=>[1,3,2,1]=>11
[4,3,1,5,2,6,7]=>[1,2,4]=>4
[4,3,1,5,2,7,6]=>[1,2,2,2]=>9
[4,3,1,5,6,2,7]=>[1,2,4]=>4
[4,3,1,5,6,7,2]=>[1,2,4]=>4
[4,3,1,5,7,2,6]=>[1,2,4]=>4
[4,3,1,5,7,6,2]=>[1,2,3,1]=>10
[4,3,1,6,2,5,7]=>[1,2,4]=>4
[4,3,1,6,2,7,5]=>[1,2,2,2]=>9
[4,3,1,6,5,2,7]=>[1,2,2,2]=>9
[4,3,1,6,5,7,2]=>[1,2,2,2]=>9
[4,3,1,6,7,2,5]=>[1,2,4]=>4
[4,3,1,6,7,5,2]=>[1,2,3,1]=>10
[4,3,1,7,2,5,6]=>[1,2,4]=>4
[4,3,1,7,2,6,5]=>[1,2,3,1]=>10
[4,3,1,7,5,2,6]=>[1,2,2,2]=>9
[4,3,1,7,5,6,2]=>[1,2,3,1]=>10
[4,3,1,7,6,2,5]=>[1,2,1,3]=>8
[4,3,1,7,6,5,2]=>[1,2,1,2,1]=>14
[4,3,2,1,5,6,7]=>[1,2,4]=>4
[4,3,2,1,5,7,6]=>[1,2,2,2]=>9
[4,3,2,1,6,5,7]=>[1,2,1,3]=>8
[4,3,2,1,6,7,5]=>[1,2,1,3]=>8
[4,3,2,1,7,5,6]=>[1,2,1,3]=>8
[4,3,2,1,7,6,5]=>[1,2,1,2,1]=>14
[4,3,2,5,1,6,7]=>[1,2,4]=>4
[4,3,2,5,1,7,6]=>[1,2,2,2]=>9
[4,3,2,5,6,1,7]=>[1,2,4]=>4
[4,3,2,5,6,7,1]=>[1,2,4]=>4
[4,3,2,5,7,1,6]=>[1,2,4]=>4
[4,3,2,5,7,6,1]=>[1,2,3,1]=>10
[4,3,2,6,1,5,7]=>[1,2,4]=>4
[4,3,2,6,1,7,5]=>[1,2,2,2]=>9
[4,3,2,6,5,1,7]=>[1,2,2,2]=>9
[4,3,2,6,5,7,1]=>[1,2,2,2]=>9
[4,3,2,6,7,1,5]=>[1,2,4]=>4
[4,3,2,6,7,5,1]=>[1,2,3,1]=>10
[4,3,2,7,1,5,6]=>[1,2,4]=>4
[4,3,2,7,1,6,5]=>[1,2,3,1]=>10
[4,3,2,7,5,1,6]=>[1,2,2,2]=>9
[4,3,2,7,5,6,1]=>[1,2,3,1]=>10
[4,3,2,7,6,1,5]=>[1,2,1,3]=>8
[4,3,2,7,6,5,1]=>[1,2,1,2,1]=>14
[4,3,5,1,2,6,7]=>[1,6]=>1
[4,3,5,1,2,7,6]=>[1,4,2]=>6
[4,3,5,1,6,2,7]=>[1,3,3]=>5
[4,3,5,1,6,7,2]=>[1,3,3]=>5
[4,3,5,1,7,2,6]=>[1,3,3]=>5
[4,3,5,1,7,6,2]=>[1,3,2,1]=>11
[4,3,5,2,1,6,7]=>[1,3,3]=>5
[4,3,5,2,1,7,6]=>[1,3,1,2]=>10
[4,3,5,2,6,1,7]=>[1,3,3]=>5
[4,3,5,2,6,7,1]=>[1,3,3]=>5
[4,3,5,2,7,1,6]=>[1,3,3]=>5
[4,3,5,2,7,6,1]=>[1,3,2,1]=>11
[4,3,5,6,1,2,7]=>[1,6]=>1
[4,3,5,6,1,7,2]=>[1,4,2]=>6
[4,3,5,6,2,1,7]=>[1,4,2]=>6
[4,3,5,6,2,7,1]=>[1,4,2]=>6
[4,3,5,6,7,1,2]=>[1,6]=>1
[4,3,5,6,7,2,1]=>[1,5,1]=>7
[4,3,5,7,1,2,6]=>[1,6]=>1
[4,3,5,7,1,6,2]=>[1,5,1]=>7
[4,3,5,7,2,1,6]=>[1,4,2]=>6
[4,3,5,7,2,6,1]=>[1,5,1]=>7
[4,3,5,7,6,1,2]=>[1,3,3]=>5
[4,3,5,7,6,2,1]=>[1,3,2,1]=>11
[4,3,6,1,2,5,7]=>[1,6]=>1
[4,3,6,1,2,7,5]=>[1,4,2]=>6
[4,3,6,1,5,2,7]=>[1,4,2]=>6
[4,3,6,1,5,7,2]=>[1,4,2]=>6
[4,3,6,1,7,2,5]=>[1,3,3]=>5
[4,3,6,1,7,5,2]=>[1,3,2,1]=>11
[4,3,6,2,1,5,7]=>[1,3,3]=>5
[4,3,6,2,1,7,5]=>[1,3,1,2]=>10
[4,3,6,2,5,1,7]=>[1,4,2]=>6
[4,3,6,2,5,7,1]=>[1,4,2]=>6
[4,3,6,2,7,1,5]=>[1,3,3]=>5
[4,3,6,2,7,5,1]=>[1,3,2,1]=>11
[4,3,6,5,1,2,7]=>[1,2,4]=>4
[4,3,6,5,1,7,2]=>[1,2,2,2]=>9
[4,3,6,5,2,1,7]=>[1,2,2,2]=>9
[4,3,6,5,2,7,1]=>[1,2,2,2]=>9
[4,3,6,5,7,1,2]=>[1,2,4]=>4
[4,3,6,5,7,2,1]=>[1,2,3,1]=>10
[4,3,6,7,1,2,5]=>[1,6]=>1
[4,3,6,7,1,5,2]=>[1,5,1]=>7
[4,3,6,7,2,1,5]=>[1,4,2]=>6
[4,3,6,7,2,5,1]=>[1,5,1]=>7
[4,3,6,7,5,1,2]=>[1,4,2]=>6
[4,3,6,7,5,2,1]=>[1,4,1,1]=>12
[4,3,7,1,2,5,6]=>[1,6]=>1
[4,3,7,1,2,6,5]=>[1,5,1]=>7
[4,3,7,1,5,2,6]=>[1,4,2]=>6
[4,3,7,1,5,6,2]=>[1,5,1]=>7
[4,3,7,1,6,2,5]=>[1,3,3]=>5
[4,3,7,1,6,5,2]=>[1,3,2,1]=>11
[4,3,7,2,1,5,6]=>[1,3,3]=>5
[4,3,7,2,1,6,5]=>[1,3,2,1]=>11
[4,3,7,2,5,1,6]=>[1,4,2]=>6
[4,3,7,2,5,6,1]=>[1,5,1]=>7
[4,3,7,2,6,1,5]=>[1,3,3]=>5
[4,3,7,2,6,5,1]=>[1,3,2,1]=>11
[4,3,7,5,1,2,6]=>[1,2,4]=>4
[4,3,7,5,1,6,2]=>[1,2,3,1]=>10
[4,3,7,5,2,1,6]=>[1,2,2,2]=>9
[4,3,7,5,2,6,1]=>[1,2,3,1]=>10
[4,3,7,5,6,1,2]=>[1,2,4]=>4
[4,3,7,5,6,2,1]=>[1,2,3,1]=>10
[4,3,7,6,1,2,5]=>[1,2,4]=>4
[4,3,7,6,1,5,2]=>[1,2,3,1]=>10
[4,3,7,6,2,1,5]=>[1,2,2,2]=>9
[4,3,7,6,2,5,1]=>[1,2,3,1]=>10
[4,3,7,6,5,1,2]=>[1,2,2,2]=>9
[4,3,7,6,5,2,1]=>[1,2,2,1,1]=>15
[4,5,1,2,3,6,7]=>[7]=>0
[4,5,1,2,3,7,6]=>[5,2]=>5
[4,5,1,2,6,3,7]=>[4,3]=>4
[4,5,1,2,6,7,3]=>[4,3]=>4
[4,5,1,2,7,3,6]=>[4,3]=>4
[4,5,1,2,7,6,3]=>[4,2,1]=>10
[4,5,1,3,2,6,7]=>[4,3]=>4
[4,5,1,3,2,7,6]=>[4,1,2]=>9
[4,5,1,3,6,2,7]=>[4,3]=>4
[4,5,1,3,6,7,2]=>[4,3]=>4
[4,5,1,3,7,2,6]=>[4,3]=>4
[4,5,1,3,7,6,2]=>[4,2,1]=>10
[4,5,1,6,2,3,7]=>[3,4]=>3
[4,5,1,6,2,7,3]=>[3,2,2]=>8
[4,5,1,6,3,2,7]=>[3,2,2]=>8
[4,5,1,6,3,7,2]=>[3,2,2]=>8
[4,5,1,6,7,2,3]=>[3,4]=>3
[4,5,1,6,7,3,2]=>[3,3,1]=>9
[4,5,1,7,2,3,6]=>[3,4]=>3
[4,5,1,7,2,6,3]=>[3,3,1]=>9
[4,5,1,7,3,2,6]=>[3,2,2]=>8
[4,5,1,7,3,6,2]=>[3,3,1]=>9
[4,5,1,7,6,2,3]=>[3,1,3]=>7
[4,5,1,7,6,3,2]=>[3,1,2,1]=>13
[4,5,2,1,3,6,7]=>[3,4]=>3
[4,5,2,1,3,7,6]=>[3,2,2]=>8
[4,5,2,1,6,3,7]=>[3,1,3]=>7
[4,5,2,1,6,7,3]=>[3,1,3]=>7
[4,5,2,1,7,3,6]=>[3,1,3]=>7
[4,5,2,1,7,6,3]=>[3,1,2,1]=>13
[4,5,2,3,1,6,7]=>[4,3]=>4
[4,5,2,3,1,7,6]=>[4,1,2]=>9
[4,5,2,3,6,1,7]=>[4,3]=>4
[4,5,2,3,6,7,1]=>[4,3]=>4
[4,5,2,3,7,1,6]=>[4,3]=>4
[4,5,2,3,7,6,1]=>[4,2,1]=>10
[4,5,2,6,1,3,7]=>[3,4]=>3
[4,5,2,6,1,7,3]=>[3,2,2]=>8
[4,5,2,6,3,1,7]=>[3,2,2]=>8
[4,5,2,6,3,7,1]=>[3,2,2]=>8
[4,5,2,6,7,1,3]=>[3,4]=>3
[4,5,2,6,7,3,1]=>[3,3,1]=>9
[4,5,2,7,1,3,6]=>[3,4]=>3
[4,5,2,7,1,6,3]=>[3,3,1]=>9
[4,5,2,7,3,1,6]=>[3,2,2]=>8
[4,5,2,7,3,6,1]=>[3,3,1]=>9
[4,5,2,7,6,1,3]=>[3,1,3]=>7
[4,5,2,7,6,3,1]=>[3,1,2,1]=>13
[4,5,3,1,2,6,7]=>[3,4]=>3
[4,5,3,1,2,7,6]=>[3,2,2]=>8
[4,5,3,1,6,2,7]=>[3,1,3]=>7
[4,5,3,1,6,7,2]=>[3,1,3]=>7
[4,5,3,1,7,2,6]=>[3,1,3]=>7
[4,5,3,1,7,6,2]=>[3,1,2,1]=>13
[4,5,3,2,1,6,7]=>[3,1,3]=>7
[4,5,3,2,1,7,6]=>[3,1,1,2]=>12
[4,5,3,2,6,1,7]=>[3,1,3]=>7
[4,5,3,2,6,7,1]=>[3,1,3]=>7
[4,5,3,2,7,1,6]=>[3,1,3]=>7
[4,5,3,2,7,6,1]=>[3,1,2,1]=>13
[4,5,3,6,1,2,7]=>[3,4]=>3
[4,5,3,6,1,7,2]=>[3,2,2]=>8
[4,5,3,6,2,1,7]=>[3,2,2]=>8
[4,5,3,6,2,7,1]=>[3,2,2]=>8
[4,5,3,6,7,1,2]=>[3,4]=>3
[4,5,3,6,7,2,1]=>[3,3,1]=>9
[4,5,3,7,1,2,6]=>[3,4]=>3
[4,5,3,7,1,6,2]=>[3,3,1]=>9
[4,5,3,7,2,1,6]=>[3,2,2]=>8
[4,5,3,7,2,6,1]=>[3,3,1]=>9
[4,5,3,7,6,1,2]=>[3,1,3]=>7
[4,5,3,7,6,2,1]=>[3,1,2,1]=>13
[4,5,6,1,2,3,7]=>[7]=>0
[4,5,6,1,2,7,3]=>[5,2]=>5
[4,5,6,1,3,2,7]=>[5,2]=>5
[4,5,6,1,3,7,2]=>[5,2]=>5
[4,5,6,1,7,2,3]=>[4,3]=>4
[4,5,6,1,7,3,2]=>[4,2,1]=>10
[4,5,6,2,1,3,7]=>[4,3]=>4
[4,5,6,2,1,7,3]=>[4,1,2]=>9
[4,5,6,2,3,1,7]=>[5,2]=>5
[4,5,6,2,3,7,1]=>[5,2]=>5
[4,5,6,2,7,1,3]=>[4,3]=>4
[4,5,6,2,7,3,1]=>[4,2,1]=>10
[4,5,6,3,1,2,7]=>[4,3]=>4
[4,5,6,3,1,7,2]=>[4,1,2]=>9
[4,5,6,3,2,1,7]=>[4,1,2]=>9
[4,5,6,3,2,7,1]=>[4,1,2]=>9
[4,5,6,3,7,1,2]=>[4,3]=>4
[4,5,6,3,7,2,1]=>[4,2,1]=>10
[4,5,6,7,1,2,3]=>[7]=>0
[4,5,6,7,1,3,2]=>[6,1]=>6
[4,5,6,7,2,1,3]=>[5,2]=>5
[4,5,6,7,2,3,1]=>[6,1]=>6
[4,5,6,7,3,1,2]=>[5,2]=>5
[4,5,6,7,3,2,1]=>[5,1,1]=>11
[4,5,7,1,2,3,6]=>[7]=>0
[4,5,7,1,2,6,3]=>[6,1]=>6
[4,5,7,1,3,2,6]=>[5,2]=>5
[4,5,7,1,3,6,2]=>[6,1]=>6
[4,5,7,1,6,2,3]=>[4,3]=>4
[4,5,7,1,6,3,2]=>[4,2,1]=>10
[4,5,7,2,1,3,6]=>[4,3]=>4
[4,5,7,2,1,6,3]=>[4,2,1]=>10
[4,5,7,2,3,1,6]=>[5,2]=>5
[4,5,7,2,3,6,1]=>[6,1]=>6
[4,5,7,2,6,1,3]=>[4,3]=>4
[4,5,7,2,6,3,1]=>[4,2,1]=>10
[4,5,7,3,1,2,6]=>[4,3]=>4
[4,5,7,3,1,6,2]=>[4,2,1]=>10
[4,5,7,3,2,1,6]=>[4,1,2]=>9
[4,5,7,3,2,6,1]=>[4,2,1]=>10
[4,5,7,3,6,1,2]=>[4,3]=>4
[4,5,7,3,6,2,1]=>[4,2,1]=>10
[4,5,7,6,1,2,3]=>[3,4]=>3
[4,5,7,6,1,3,2]=>[3,3,1]=>9
[4,5,7,6,2,1,3]=>[3,2,2]=>8
[4,5,7,6,2,3,1]=>[3,3,1]=>9
[4,5,7,6,3,1,2]=>[3,2,2]=>8
[4,5,7,6,3,2,1]=>[3,2,1,1]=>14
[4,6,1,2,3,5,7]=>[7]=>0
[4,6,1,2,3,7,5]=>[5,2]=>5
[4,6,1,2,5,3,7]=>[5,2]=>5
[4,6,1,2,5,7,3]=>[5,2]=>5
[4,6,1,2,7,3,5]=>[4,3]=>4
[4,6,1,2,7,5,3]=>[4,2,1]=>10
[4,6,1,3,2,5,7]=>[4,3]=>4
[4,6,1,3,2,7,5]=>[4,1,2]=>9
[4,6,1,3,5,2,7]=>[5,2]=>5
[4,6,1,3,5,7,2]=>[5,2]=>5
[4,6,1,3,7,2,5]=>[4,3]=>4
[4,6,1,3,7,5,2]=>[4,2,1]=>10
[4,6,1,5,2,3,7]=>[3,4]=>3
[4,6,1,5,2,7,3]=>[3,2,2]=>8
[4,6,1,5,3,2,7]=>[3,2,2]=>8
[4,6,1,5,3,7,2]=>[3,2,2]=>8
[4,6,1,5,7,2,3]=>[3,4]=>3
[4,6,1,5,7,3,2]=>[3,3,1]=>9
[4,6,1,7,2,3,5]=>[3,4]=>3
[4,6,1,7,2,5,3]=>[3,3,1]=>9
[4,6,1,7,3,2,5]=>[3,2,2]=>8
[4,6,1,7,3,5,2]=>[3,3,1]=>9
[4,6,1,7,5,2,3]=>[3,2,2]=>8
[4,6,1,7,5,3,2]=>[3,2,1,1]=>14
[4,6,2,1,3,5,7]=>[3,4]=>3
[4,6,2,1,3,7,5]=>[3,2,2]=>8
[4,6,2,1,5,3,7]=>[3,2,2]=>8
[4,6,2,1,5,7,3]=>[3,2,2]=>8
[4,6,2,1,7,3,5]=>[3,1,3]=>7
[4,6,2,1,7,5,3]=>[3,1,2,1]=>13
[4,6,2,3,1,5,7]=>[4,3]=>4
[4,6,2,3,1,7,5]=>[4,1,2]=>9
[4,6,2,3,5,1,7]=>[5,2]=>5
[4,6,2,3,5,7,1]=>[5,2]=>5
[4,6,2,3,7,1,5]=>[4,3]=>4
[4,6,2,3,7,5,1]=>[4,2,1]=>10
[4,6,2,5,1,3,7]=>[3,4]=>3
[4,6,2,5,1,7,3]=>[3,2,2]=>8
[4,6,2,5,3,1,7]=>[3,2,2]=>8
[4,6,2,5,3,7,1]=>[3,2,2]=>8
[4,6,2,5,7,1,3]=>[3,4]=>3
[4,6,2,5,7,3,1]=>[3,3,1]=>9
[4,6,2,7,1,3,5]=>[3,4]=>3
[4,6,2,7,1,5,3]=>[3,3,1]=>9
[4,6,2,7,3,1,5]=>[3,2,2]=>8
[4,6,2,7,3,5,1]=>[3,3,1]=>9
[4,6,2,7,5,1,3]=>[3,2,2]=>8
[4,6,2,7,5,3,1]=>[3,2,1,1]=>14
[4,6,3,1,2,5,7]=>[3,4]=>3
[4,6,3,1,2,7,5]=>[3,2,2]=>8
[4,6,3,1,5,2,7]=>[3,2,2]=>8
[4,6,3,1,5,7,2]=>[3,2,2]=>8
[4,6,3,1,7,2,5]=>[3,1,3]=>7
[4,6,3,1,7,5,2]=>[3,1,2,1]=>13
[4,6,3,2,1,5,7]=>[3,1,3]=>7
[4,6,3,2,1,7,5]=>[3,1,1,2]=>12
[4,6,3,2,5,1,7]=>[3,2,2]=>8
[4,6,3,2,5,7,1]=>[3,2,2]=>8
[4,6,3,2,7,1,5]=>[3,1,3]=>7
[4,6,3,2,7,5,1]=>[3,1,2,1]=>13
[4,6,3,5,1,2,7]=>[3,4]=>3
[4,6,3,5,1,7,2]=>[3,2,2]=>8
[4,6,3,5,2,1,7]=>[3,2,2]=>8
[4,6,3,5,2,7,1]=>[3,2,2]=>8
[4,6,3,5,7,1,2]=>[3,4]=>3
[4,6,3,5,7,2,1]=>[3,3,1]=>9
[4,6,3,7,1,2,5]=>[3,4]=>3
[4,6,3,7,1,5,2]=>[3,3,1]=>9
[4,6,3,7,2,1,5]=>[3,2,2]=>8
[4,6,3,7,2,5,1]=>[3,3,1]=>9
[4,6,3,7,5,1,2]=>[3,2,2]=>8
[4,6,3,7,5,2,1]=>[3,2,1,1]=>14
[4,6,5,1,2,3,7]=>[2,5]=>2
[4,6,5,1,2,7,3]=>[2,3,2]=>7
[4,6,5,1,3,2,7]=>[2,3,2]=>7
[4,6,5,1,3,7,2]=>[2,3,2]=>7
[4,6,5,1,7,2,3]=>[2,2,3]=>6
[4,6,5,1,7,3,2]=>[2,2,2,1]=>12
[4,6,5,2,1,3,7]=>[2,2,3]=>6
[4,6,5,2,1,7,3]=>[2,2,1,2]=>11
[4,6,5,2,3,1,7]=>[2,3,2]=>7
[4,6,5,2,3,7,1]=>[2,3,2]=>7
[4,6,5,2,7,1,3]=>[2,2,3]=>6
[4,6,5,2,7,3,1]=>[2,2,2,1]=>12
[4,6,5,3,1,2,7]=>[2,2,3]=>6
[4,6,5,3,1,7,2]=>[2,2,1,2]=>11
[4,6,5,3,2,1,7]=>[2,2,1,2]=>11
[4,6,5,3,2,7,1]=>[2,2,1,2]=>11
[4,6,5,3,7,1,2]=>[2,2,3]=>6
[4,6,5,3,7,2,1]=>[2,2,2,1]=>12
[4,6,5,7,1,2,3]=>[2,5]=>2
[4,6,5,7,1,3,2]=>[2,4,1]=>8
[4,6,5,7,2,1,3]=>[2,3,2]=>7
[4,6,5,7,2,3,1]=>[2,4,1]=>8
[4,6,5,7,3,1,2]=>[2,3,2]=>7
[4,6,5,7,3,2,1]=>[2,3,1,1]=>13
[4,6,7,1,2,3,5]=>[7]=>0
[4,6,7,1,2,5,3]=>[6,1]=>6
[4,6,7,1,3,2,5]=>[5,2]=>5
[4,6,7,1,3,5,2]=>[6,1]=>6
[4,6,7,1,5,2,3]=>[5,2]=>5
[4,6,7,1,5,3,2]=>[5,1,1]=>11
[4,6,7,2,1,3,5]=>[4,3]=>4
[4,6,7,2,1,5,3]=>[4,2,1]=>10
[4,6,7,2,3,1,5]=>[5,2]=>5
[4,6,7,2,3,5,1]=>[6,1]=>6
[4,6,7,2,5,1,3]=>[5,2]=>5
[4,6,7,2,5,3,1]=>[5,1,1]=>11
[4,6,7,3,1,2,5]=>[4,3]=>4
[4,6,7,3,1,5,2]=>[4,2,1]=>10
[4,6,7,3,2,1,5]=>[4,1,2]=>9
[4,6,7,3,2,5,1]=>[4,2,1]=>10
[4,6,7,3,5,1,2]=>[5,2]=>5
[4,6,7,3,5,2,1]=>[5,1,1]=>11
[4,6,7,5,1,2,3]=>[3,4]=>3
[4,6,7,5,1,3,2]=>[3,3,1]=>9
[4,6,7,5,2,1,3]=>[3,2,2]=>8
[4,6,7,5,2,3,1]=>[3,3,1]=>9
[4,6,7,5,3,1,2]=>[3,2,2]=>8
[4,6,7,5,3,2,1]=>[3,2,1,1]=>14
[4,7,1,2,3,5,6]=>[7]=>0
[4,7,1,2,3,6,5]=>[6,1]=>6
[4,7,1,2,5,3,6]=>[5,2]=>5
[4,7,1,2,5,6,3]=>[6,1]=>6
[4,7,1,2,6,3,5]=>[4,3]=>4
[4,7,1,2,6,5,3]=>[4,2,1]=>10
[4,7,1,3,2,5,6]=>[4,3]=>4
[4,7,1,3,2,6,5]=>[4,2,1]=>10
[4,7,1,3,5,2,6]=>[5,2]=>5
[4,7,1,3,5,6,2]=>[6,1]=>6
[4,7,1,3,6,2,5]=>[4,3]=>4
[4,7,1,3,6,5,2]=>[4,2,1]=>10
[4,7,1,5,2,3,6]=>[3,4]=>3
[4,7,1,5,2,6,3]=>[3,3,1]=>9
[4,7,1,5,3,2,6]=>[3,2,2]=>8
[4,7,1,5,3,6,2]=>[3,3,1]=>9
[4,7,1,5,6,2,3]=>[3,4]=>3
[4,7,1,5,6,3,2]=>[3,3,1]=>9
[4,7,1,6,2,3,5]=>[3,4]=>3
[4,7,1,6,2,5,3]=>[3,3,1]=>9
[4,7,1,6,3,2,5]=>[3,2,2]=>8
[4,7,1,6,3,5,2]=>[3,3,1]=>9
[4,7,1,6,5,2,3]=>[3,2,2]=>8
[4,7,1,6,5,3,2]=>[3,2,1,1]=>14
[4,7,2,1,3,5,6]=>[3,4]=>3
[4,7,2,1,3,6,5]=>[3,3,1]=>9
[4,7,2,1,5,3,6]=>[3,2,2]=>8
[4,7,2,1,5,6,3]=>[3,3,1]=>9
[4,7,2,1,6,3,5]=>[3,1,3]=>7
[4,7,2,1,6,5,3]=>[3,1,2,1]=>13
[4,7,2,3,1,5,6]=>[4,3]=>4
[4,7,2,3,1,6,5]=>[4,2,1]=>10
[4,7,2,3,5,1,6]=>[5,2]=>5
[4,7,2,3,5,6,1]=>[6,1]=>6
[4,7,2,3,6,1,5]=>[4,3]=>4
[4,7,2,3,6,5,1]=>[4,2,1]=>10
[4,7,2,5,1,3,6]=>[3,4]=>3
[4,7,2,5,1,6,3]=>[3,3,1]=>9
[4,7,2,5,3,1,6]=>[3,2,2]=>8
[4,7,2,5,3,6,1]=>[3,3,1]=>9
[4,7,2,5,6,1,3]=>[3,4]=>3
[4,7,2,5,6,3,1]=>[3,3,1]=>9
[4,7,2,6,1,3,5]=>[3,4]=>3
[4,7,2,6,1,5,3]=>[3,3,1]=>9
[4,7,2,6,3,1,5]=>[3,2,2]=>8
[4,7,2,6,3,5,1]=>[3,3,1]=>9
[4,7,2,6,5,1,3]=>[3,2,2]=>8
[4,7,2,6,5,3,1]=>[3,2,1,1]=>14
[4,7,3,1,2,5,6]=>[3,4]=>3
[4,7,3,1,2,6,5]=>[3,3,1]=>9
[4,7,3,1,5,2,6]=>[3,2,2]=>8
[4,7,3,1,5,6,2]=>[3,3,1]=>9
[4,7,3,1,6,2,5]=>[3,1,3]=>7
[4,7,3,1,6,5,2]=>[3,1,2,1]=>13
[4,7,3,2,1,5,6]=>[3,1,3]=>7
[4,7,3,2,1,6,5]=>[3,1,2,1]=>13
[4,7,3,2,5,1,6]=>[3,2,2]=>8
[4,7,3,2,5,6,1]=>[3,3,1]=>9
[4,7,3,2,6,1,5]=>[3,1,3]=>7
[4,7,3,2,6,5,1]=>[3,1,2,1]=>13
[4,7,3,5,1,2,6]=>[3,4]=>3
[4,7,3,5,1,6,2]=>[3,3,1]=>9
[4,7,3,5,2,1,6]=>[3,2,2]=>8
[4,7,3,5,2,6,1]=>[3,3,1]=>9
[4,7,3,5,6,1,2]=>[3,4]=>3
[4,7,3,5,6,2,1]=>[3,3,1]=>9
[4,7,3,6,1,2,5]=>[3,4]=>3
[4,7,3,6,1,5,2]=>[3,3,1]=>9
[4,7,3,6,2,1,5]=>[3,2,2]=>8
[4,7,3,6,2,5,1]=>[3,3,1]=>9
[4,7,3,6,5,1,2]=>[3,2,2]=>8
[4,7,3,6,5,2,1]=>[3,2,1,1]=>14
[4,7,5,1,2,3,6]=>[2,5]=>2
[4,7,5,1,2,6,3]=>[2,4,1]=>8
[4,7,5,1,3,2,6]=>[2,3,2]=>7
[4,7,5,1,3,6,2]=>[2,4,1]=>8
[4,7,5,1,6,2,3]=>[2,2,3]=>6
[4,7,5,1,6,3,2]=>[2,2,2,1]=>12
[4,7,5,2,1,3,6]=>[2,2,3]=>6
[4,7,5,2,1,6,3]=>[2,2,2,1]=>12
[4,7,5,2,3,1,6]=>[2,3,2]=>7
[4,7,5,2,3,6,1]=>[2,4,1]=>8
[4,7,5,2,6,1,3]=>[2,2,3]=>6
[4,7,5,2,6,3,1]=>[2,2,2,1]=>12
[4,7,5,3,1,2,6]=>[2,2,3]=>6
[4,7,5,3,1,6,2]=>[2,2,2,1]=>12
[4,7,5,3,2,1,6]=>[2,2,1,2]=>11
[4,7,5,3,2,6,1]=>[2,2,2,1]=>12
[4,7,5,3,6,1,2]=>[2,2,3]=>6
[4,7,5,3,6,2,1]=>[2,2,2,1]=>12
[4,7,5,6,1,2,3]=>[2,5]=>2
[4,7,5,6,1,3,2]=>[2,4,1]=>8
[4,7,5,6,2,1,3]=>[2,3,2]=>7
[4,7,5,6,2,3,1]=>[2,4,1]=>8
[4,7,5,6,3,1,2]=>[2,3,2]=>7
[4,7,5,6,3,2,1]=>[2,3,1,1]=>13
[4,7,6,1,2,3,5]=>[2,5]=>2
[4,7,6,1,2,5,3]=>[2,4,1]=>8
[4,7,6,1,3,2,5]=>[2,3,2]=>7
[4,7,6,1,3,5,2]=>[2,4,1]=>8
[4,7,6,1,5,2,3]=>[2,3,2]=>7
[4,7,6,1,5,3,2]=>[2,3,1,1]=>13
[4,7,6,2,1,3,5]=>[2,2,3]=>6
[4,7,6,2,1,5,3]=>[2,2,2,1]=>12
[4,7,6,2,3,1,5]=>[2,3,2]=>7
[4,7,6,2,3,5,1]=>[2,4,1]=>8
[4,7,6,2,5,1,3]=>[2,3,2]=>7
[4,7,6,2,5,3,1]=>[2,3,1,1]=>13
[4,7,6,3,1,2,5]=>[2,2,3]=>6
[4,7,6,3,1,5,2]=>[2,2,2,1]=>12
[4,7,6,3,2,1,5]=>[2,2,1,2]=>11
[4,7,6,3,2,5,1]=>[2,2,2,1]=>12
[4,7,6,3,5,1,2]=>[2,3,2]=>7
[4,7,6,3,5,2,1]=>[2,3,1,1]=>13
[4,7,6,5,1,2,3]=>[2,1,4]=>5
[4,7,6,5,1,3,2]=>[2,1,3,1]=>11
[4,7,6,5,2,1,3]=>[2,1,2,2]=>10
[4,7,6,5,2,3,1]=>[2,1,3,1]=>11
[4,7,6,5,3,1,2]=>[2,1,2,2]=>10
[4,7,6,5,3,2,1]=>[2,1,2,1,1]=>16
[5,1,2,3,4,6,7]=>[7]=>0
[5,1,2,3,4,7,6]=>[5,2]=>5
[5,1,2,3,6,4,7]=>[4,3]=>4
[5,1,2,3,6,7,4]=>[4,3]=>4
[5,1,2,3,7,4,6]=>[4,3]=>4
[5,1,2,3,7,6,4]=>[4,2,1]=>10
[5,1,2,4,3,6,7]=>[4,3]=>4
[5,1,2,4,3,7,6]=>[4,1,2]=>9
[5,1,2,4,6,3,7]=>[4,3]=>4
[5,1,2,4,6,7,3]=>[4,3]=>4
[5,1,2,4,7,3,6]=>[4,3]=>4
[5,1,2,4,7,6,3]=>[4,2,1]=>10
[5,1,2,6,3,4,7]=>[3,4]=>3
[5,1,2,6,3,7,4]=>[3,2,2]=>8
[5,1,2,6,4,3,7]=>[3,2,2]=>8
[5,1,2,6,4,7,3]=>[3,2,2]=>8
[5,1,2,6,7,3,4]=>[3,4]=>3
[5,1,2,6,7,4,3]=>[3,3,1]=>9
[5,1,2,7,3,4,6]=>[3,4]=>3
[5,1,2,7,3,6,4]=>[3,3,1]=>9
[5,1,2,7,4,3,6]=>[3,2,2]=>8
[5,1,2,7,4,6,3]=>[3,3,1]=>9
[5,1,2,7,6,3,4]=>[3,1,3]=>7
[5,1,2,7,6,4,3]=>[3,1,2,1]=>13
[5,1,3,2,4,6,7]=>[3,4]=>3
[5,1,3,2,4,7,6]=>[3,2,2]=>8
[5,1,3,2,6,4,7]=>[3,1,3]=>7
[5,1,3,2,6,7,4]=>[3,1,3]=>7
[5,1,3,2,7,4,6]=>[3,1,3]=>7
[5,1,3,2,7,6,4]=>[3,1,2,1]=>13
[5,1,3,4,2,6,7]=>[4,3]=>4
[5,1,3,4,2,7,6]=>[4,1,2]=>9
[5,1,3,4,6,2,7]=>[4,3]=>4
[5,1,3,4,6,7,2]=>[4,3]=>4
[5,1,3,4,7,2,6]=>[4,3]=>4
[5,1,3,4,7,6,2]=>[4,2,1]=>10
[5,1,3,6,2,4,7]=>[3,4]=>3
[5,1,3,6,2,7,4]=>[3,2,2]=>8
[5,1,3,6,4,2,7]=>[3,2,2]=>8
[5,1,3,6,4,7,2]=>[3,2,2]=>8
[5,1,3,6,7,2,4]=>[3,4]=>3
[5,1,3,6,7,4,2]=>[3,3,1]=>9
[5,1,3,7,2,4,6]=>[3,4]=>3
[5,1,3,7,2,6,4]=>[3,3,1]=>9
[5,1,3,7,4,2,6]=>[3,2,2]=>8
[5,1,3,7,4,6,2]=>[3,3,1]=>9
[5,1,3,7,6,2,4]=>[3,1,3]=>7
[5,1,3,7,6,4,2]=>[3,1,2,1]=>13
[5,1,4,2,3,6,7]=>[2,5]=>2
[5,1,4,2,3,7,6]=>[2,3,2]=>7
[5,1,4,2,6,3,7]=>[2,2,3]=>6
[5,1,4,2,6,7,3]=>[2,2,3]=>6
[5,1,4,2,7,3,6]=>[2,2,3]=>6
[5,1,4,2,7,6,3]=>[2,2,2,1]=>12
[5,1,4,3,2,6,7]=>[2,2,3]=>6
[5,1,4,3,2,7,6]=>[2,2,1,2]=>11
[5,1,4,3,6,2,7]=>[2,2,3]=>6
[5,1,4,3,6,7,2]=>[2,2,3]=>6
[5,1,4,3,7,2,6]=>[2,2,3]=>6
[5,1,4,3,7,6,2]=>[2,2,2,1]=>12
[5,1,4,6,2,3,7]=>[2,5]=>2
[5,1,4,6,2,7,3]=>[2,3,2]=>7
[5,1,4,6,3,2,7]=>[2,3,2]=>7
[5,1,4,6,3,7,2]=>[2,3,2]=>7
[5,1,4,6,7,2,3]=>[2,5]=>2
[5,1,4,6,7,3,2]=>[2,4,1]=>8
[5,1,4,7,2,3,6]=>[2,5]=>2
[5,1,4,7,2,6,3]=>[2,4,1]=>8
[5,1,4,7,3,2,6]=>[2,3,2]=>7
[5,1,4,7,3,6,2]=>[2,4,1]=>8
[5,1,4,7,6,2,3]=>[2,2,3]=>6
[5,1,4,7,6,3,2]=>[2,2,2,1]=>12
[5,1,6,2,3,4,7]=>[2,5]=>2
[5,1,6,2,3,7,4]=>[2,3,2]=>7
[5,1,6,2,4,3,7]=>[2,3,2]=>7
[5,1,6,2,4,7,3]=>[2,3,2]=>7
[5,1,6,2,7,3,4]=>[2,2,3]=>6
[5,1,6,2,7,4,3]=>[2,2,2,1]=>12
[5,1,6,3,2,4,7]=>[2,2,3]=>6
[5,1,6,3,2,7,4]=>[2,2,1,2]=>11
[5,1,6,3,4,2,7]=>[2,3,2]=>7
[5,1,6,3,4,7,2]=>[2,3,2]=>7
[5,1,6,3,7,2,4]=>[2,2,3]=>6
[5,1,6,3,7,4,2]=>[2,2,2,1]=>12
[5,1,6,4,2,3,7]=>[2,2,3]=>6
[5,1,6,4,2,7,3]=>[2,2,1,2]=>11
[5,1,6,4,3,2,7]=>[2,2,1,2]=>11
[5,1,6,4,3,7,2]=>[2,2,1,2]=>11
[5,1,6,4,7,2,3]=>[2,2,3]=>6
[5,1,6,4,7,3,2]=>[2,2,2,1]=>12
[5,1,6,7,2,3,4]=>[2,5]=>2
[5,1,6,7,2,4,3]=>[2,4,1]=>8
[5,1,6,7,3,2,4]=>[2,3,2]=>7
[5,1,6,7,3,4,2]=>[2,4,1]=>8
[5,1,6,7,4,2,3]=>[2,3,2]=>7
[5,1,6,7,4,3,2]=>[2,3,1,1]=>13
[5,1,7,2,3,4,6]=>[2,5]=>2
[5,1,7,2,3,6,4]=>[2,4,1]=>8
[5,1,7,2,4,3,6]=>[2,3,2]=>7
[5,1,7,2,4,6,3]=>[2,4,1]=>8
[5,1,7,2,6,3,4]=>[2,2,3]=>6
[5,1,7,2,6,4,3]=>[2,2,2,1]=>12
[5,1,7,3,2,4,6]=>[2,2,3]=>6
[5,1,7,3,2,6,4]=>[2,2,2,1]=>12
[5,1,7,3,4,2,6]=>[2,3,2]=>7
[5,1,7,3,4,6,2]=>[2,4,1]=>8
[5,1,7,3,6,2,4]=>[2,2,3]=>6
[5,1,7,3,6,4,2]=>[2,2,2,1]=>12
[5,1,7,4,2,3,6]=>[2,2,3]=>6
[5,1,7,4,2,6,3]=>[2,2,2,1]=>12
[5,1,7,4,3,2,6]=>[2,2,1,2]=>11
[5,1,7,4,3,6,2]=>[2,2,2,1]=>12
[5,1,7,4,6,2,3]=>[2,2,3]=>6
[5,1,7,4,6,3,2]=>[2,2,2,1]=>12
[5,1,7,6,2,3,4]=>[2,1,4]=>5
[5,1,7,6,2,4,3]=>[2,1,3,1]=>11
[5,1,7,6,3,2,4]=>[2,1,2,2]=>10
[5,1,7,6,3,4,2]=>[2,1,3,1]=>11
[5,1,7,6,4,2,3]=>[2,1,2,2]=>10
[5,1,7,6,4,3,2]=>[2,1,2,1,1]=>16
[5,2,1,3,4,6,7]=>[2,5]=>2
[5,2,1,3,4,7,6]=>[2,3,2]=>7
[5,2,1,3,6,4,7]=>[2,2,3]=>6
[5,2,1,3,6,7,4]=>[2,2,3]=>6
[5,2,1,3,7,4,6]=>[2,2,3]=>6
[5,2,1,3,7,6,4]=>[2,2,2,1]=>12
[5,2,1,4,3,6,7]=>[2,2,3]=>6
[5,2,1,4,3,7,6]=>[2,2,1,2]=>11
[5,2,1,4,6,3,7]=>[2,2,3]=>6
[5,2,1,4,6,7,3]=>[2,2,3]=>6
[5,2,1,4,7,3,6]=>[2,2,3]=>6
[5,2,1,4,7,6,3]=>[2,2,2,1]=>12
[5,2,1,6,3,4,7]=>[2,1,4]=>5
[5,2,1,6,3,7,4]=>[2,1,2,2]=>10
[5,2,1,6,4,3,7]=>[2,1,2,2]=>10
[5,2,1,6,4,7,3]=>[2,1,2,2]=>10
[5,2,1,6,7,3,4]=>[2,1,4]=>5
[5,2,1,6,7,4,3]=>[2,1,3,1]=>11
[5,2,1,7,3,4,6]=>[2,1,4]=>5
[5,2,1,7,3,6,4]=>[2,1,3,1]=>11
[5,2,1,7,4,3,6]=>[2,1,2,2]=>10
[5,2,1,7,4,6,3]=>[2,1,3,1]=>11
[5,2,1,7,6,3,4]=>[2,1,1,3]=>9
[5,2,1,7,6,4,3]=>[2,1,1,2,1]=>15
[5,2,3,1,4,6,7]=>[3,4]=>3
[5,2,3,1,4,7,6]=>[3,2,2]=>8
[5,2,3,1,6,4,7]=>[3,1,3]=>7
[5,2,3,1,6,7,4]=>[3,1,3]=>7
[5,2,3,1,7,4,6]=>[3,1,3]=>7
[5,2,3,1,7,6,4]=>[3,1,2,1]=>13
[5,2,3,4,1,6,7]=>[4,3]=>4
[5,2,3,4,1,7,6]=>[4,1,2]=>9
[5,2,3,4,6,1,7]=>[4,3]=>4
[5,2,3,4,6,7,1]=>[4,3]=>4
[5,2,3,4,7,1,6]=>[4,3]=>4
[5,2,3,4,7,6,1]=>[4,2,1]=>10
[5,2,3,6,1,4,7]=>[3,4]=>3
[5,2,3,6,1,7,4]=>[3,2,2]=>8
[5,2,3,6,4,1,7]=>[3,2,2]=>8
[5,2,3,6,4,7,1]=>[3,2,2]=>8
[5,2,3,6,7,1,4]=>[3,4]=>3
[5,2,3,6,7,4,1]=>[3,3,1]=>9
[5,2,3,7,1,4,6]=>[3,4]=>3
[5,2,3,7,1,6,4]=>[3,3,1]=>9
[5,2,3,7,4,1,6]=>[3,2,2]=>8
[5,2,3,7,4,6,1]=>[3,3,1]=>9
[5,2,3,7,6,1,4]=>[3,1,3]=>7
[5,2,3,7,6,4,1]=>[3,1,2,1]=>13
[5,2,4,1,3,6,7]=>[2,5]=>2
[5,2,4,1,3,7,6]=>[2,3,2]=>7
[5,2,4,1,6,3,7]=>[2,2,3]=>6
[5,2,4,1,6,7,3]=>[2,2,3]=>6
[5,2,4,1,7,3,6]=>[2,2,3]=>6
[5,2,4,1,7,6,3]=>[2,2,2,1]=>12
[5,2,4,3,1,6,7]=>[2,2,3]=>6
[5,2,4,3,1,7,6]=>[2,2,1,2]=>11
[5,2,4,3,6,1,7]=>[2,2,3]=>6
[5,2,4,3,6,7,1]=>[2,2,3]=>6
[5,2,4,3,7,1,6]=>[2,2,3]=>6
[5,2,4,3,7,6,1]=>[2,2,2,1]=>12
[5,2,4,6,1,3,7]=>[2,5]=>2
[5,2,4,6,1,7,3]=>[2,3,2]=>7
[5,2,4,6,3,1,7]=>[2,3,2]=>7
[5,2,4,6,3,7,1]=>[2,3,2]=>7
[5,2,4,6,7,1,3]=>[2,5]=>2
[5,2,4,6,7,3,1]=>[2,4,1]=>8
[5,2,4,7,1,3,6]=>[2,5]=>2
[5,2,4,7,1,6,3]=>[2,4,1]=>8
[5,2,4,7,3,1,6]=>[2,3,2]=>7
[5,2,4,7,3,6,1]=>[2,4,1]=>8
[5,2,4,7,6,1,3]=>[2,2,3]=>6
[5,2,4,7,6,3,1]=>[2,2,2,1]=>12
[5,2,6,1,3,4,7]=>[2,5]=>2
[5,2,6,1,3,7,4]=>[2,3,2]=>7
[5,2,6,1,4,3,7]=>[2,3,2]=>7
[5,2,6,1,4,7,3]=>[2,3,2]=>7
[5,2,6,1,7,3,4]=>[2,2,3]=>6
[5,2,6,1,7,4,3]=>[2,2,2,1]=>12
[5,2,6,3,1,4,7]=>[2,2,3]=>6
[5,2,6,3,1,7,4]=>[2,2,1,2]=>11
[5,2,6,3,4,1,7]=>[2,3,2]=>7
[5,2,6,3,4,7,1]=>[2,3,2]=>7
[5,2,6,3,7,1,4]=>[2,2,3]=>6
[5,2,6,3,7,4,1]=>[2,2,2,1]=>12
[5,2,6,4,1,3,7]=>[2,2,3]=>6
[5,2,6,4,1,7,3]=>[2,2,1,2]=>11
[5,2,6,4,3,1,7]=>[2,2,1,2]=>11
[5,2,6,4,3,7,1]=>[2,2,1,2]=>11
[5,2,6,4,7,1,3]=>[2,2,3]=>6
[5,2,6,4,7,3,1]=>[2,2,2,1]=>12
[5,2,6,7,1,3,4]=>[2,5]=>2
[5,2,6,7,1,4,3]=>[2,4,1]=>8
[5,2,6,7,3,1,4]=>[2,3,2]=>7
[5,2,6,7,3,4,1]=>[2,4,1]=>8
[5,2,6,7,4,1,3]=>[2,3,2]=>7
[5,2,6,7,4,3,1]=>[2,3,1,1]=>13
[5,2,7,1,3,4,6]=>[2,5]=>2
[5,2,7,1,3,6,4]=>[2,4,1]=>8
[5,2,7,1,4,3,6]=>[2,3,2]=>7
[5,2,7,1,4,6,3]=>[2,4,1]=>8
[5,2,7,1,6,3,4]=>[2,2,3]=>6
[5,2,7,1,6,4,3]=>[2,2,2,1]=>12
[5,2,7,3,1,4,6]=>[2,2,3]=>6
[5,2,7,3,1,6,4]=>[2,2,2,1]=>12
[5,2,7,3,4,1,6]=>[2,3,2]=>7
[5,2,7,3,4,6,1]=>[2,4,1]=>8
[5,2,7,3,6,1,4]=>[2,2,3]=>6
[5,2,7,3,6,4,1]=>[2,2,2,1]=>12
[5,2,7,4,1,3,6]=>[2,2,3]=>6
[5,2,7,4,1,6,3]=>[2,2,2,1]=>12
[5,2,7,4,3,1,6]=>[2,2,1,2]=>11
[5,2,7,4,3,6,1]=>[2,2,2,1]=>12
[5,2,7,4,6,1,3]=>[2,2,3]=>6
[5,2,7,4,6,3,1]=>[2,2,2,1]=>12
[5,2,7,6,1,3,4]=>[2,1,4]=>5
[5,2,7,6,1,4,3]=>[2,1,3,1]=>11
[5,2,7,6,3,1,4]=>[2,1,2,2]=>10
[5,2,7,6,3,4,1]=>[2,1,3,1]=>11
[5,2,7,6,4,1,3]=>[2,1,2,2]=>10
[5,2,7,6,4,3,1]=>[2,1,2,1,1]=>16
[5,3,1,2,4,6,7]=>[1,6]=>1
[5,3,1,2,4,7,6]=>[1,4,2]=>6
[5,3,1,2,6,4,7]=>[1,3,3]=>5
[5,3,1,2,6,7,4]=>[1,3,3]=>5
[5,3,1,2,7,4,6]=>[1,3,3]=>5
[5,3,1,2,7,6,4]=>[1,3,2,1]=>11
[5,3,1,4,2,6,7]=>[1,3,3]=>5
[5,3,1,4,2,7,6]=>[1,3,1,2]=>10
[5,3,1,4,6,2,7]=>[1,3,3]=>5
[5,3,1,4,6,7,2]=>[1,3,3]=>5
[5,3,1,4,7,2,6]=>[1,3,3]=>5
[5,3,1,4,7,6,2]=>[1,3,2,1]=>11
[5,3,1,6,2,4,7]=>[1,2,4]=>4
[5,3,1,6,2,7,4]=>[1,2,2,2]=>9
[5,3,1,6,4,2,7]=>[1,2,2,2]=>9
[5,3,1,6,4,7,2]=>[1,2,2,2]=>9
[5,3,1,6,7,2,4]=>[1,2,4]=>4
[5,3,1,6,7,4,2]=>[1,2,3,1]=>10
[5,3,1,7,2,4,6]=>[1,2,4]=>4
[5,3,1,7,2,6,4]=>[1,2,3,1]=>10
[5,3,1,7,4,2,6]=>[1,2,2,2]=>9
[5,3,1,7,4,6,2]=>[1,2,3,1]=>10
[5,3,1,7,6,2,4]=>[1,2,1,3]=>8
[5,3,1,7,6,4,2]=>[1,2,1,2,1]=>14
[5,3,2,1,4,6,7]=>[1,2,4]=>4
[5,3,2,1,4,7,6]=>[1,2,2,2]=>9
[5,3,2,1,6,4,7]=>[1,2,1,3]=>8
[5,3,2,1,6,7,4]=>[1,2,1,3]=>8
[5,3,2,1,7,4,6]=>[1,2,1,3]=>8
[5,3,2,1,7,6,4]=>[1,2,1,2,1]=>14
[5,3,2,4,1,6,7]=>[1,3,3]=>5
[5,3,2,4,1,7,6]=>[1,3,1,2]=>10
[5,3,2,4,6,1,7]=>[1,3,3]=>5
[5,3,2,4,6,7,1]=>[1,3,3]=>5
[5,3,2,4,7,1,6]=>[1,3,3]=>5
[5,3,2,4,7,6,1]=>[1,3,2,1]=>11
[5,3,2,6,1,4,7]=>[1,2,4]=>4
[5,3,2,6,1,7,4]=>[1,2,2,2]=>9
[5,3,2,6,4,1,7]=>[1,2,2,2]=>9
[5,3,2,6,4,7,1]=>[1,2,2,2]=>9
[5,3,2,6,7,1,4]=>[1,2,4]=>4
[5,3,2,6,7,4,1]=>[1,2,3,1]=>10
[5,3,2,7,1,4,6]=>[1,2,4]=>4
[5,3,2,7,1,6,4]=>[1,2,3,1]=>10
[5,3,2,7,4,1,6]=>[1,2,2,2]=>9
[5,3,2,7,4,6,1]=>[1,2,3,1]=>10
[5,3,2,7,6,1,4]=>[1,2,1,3]=>8
[5,3,2,7,6,4,1]=>[1,2,1,2,1]=>14
[5,3,4,1,2,6,7]=>[1,6]=>1
[5,3,4,1,2,7,6]=>[1,4,2]=>6
[5,3,4,1,6,2,7]=>[1,3,3]=>5
[5,3,4,1,6,7,2]=>[1,3,3]=>5
[5,3,4,1,7,2,6]=>[1,3,3]=>5
[5,3,4,1,7,6,2]=>[1,3,2,1]=>11
[5,3,4,2,1,6,7]=>[1,3,3]=>5
[5,3,4,2,1,7,6]=>[1,3,1,2]=>10
[5,3,4,2,6,1,7]=>[1,3,3]=>5
[5,3,4,2,6,7,1]=>[1,3,3]=>5
[5,3,4,2,7,1,6]=>[1,3,3]=>5
[5,3,4,2,7,6,1]=>[1,3,2,1]=>11
[5,3,4,6,1,2,7]=>[1,6]=>1
[5,3,4,6,1,7,2]=>[1,4,2]=>6
[5,3,4,6,2,1,7]=>[1,4,2]=>6
[5,3,4,6,2,7,1]=>[1,4,2]=>6
[5,3,4,6,7,1,2]=>[1,6]=>1
[5,3,4,6,7,2,1]=>[1,5,1]=>7
[5,3,4,7,1,2,6]=>[1,6]=>1
[5,3,4,7,1,6,2]=>[1,5,1]=>7
[5,3,4,7,2,1,6]=>[1,4,2]=>6
[5,3,4,7,2,6,1]=>[1,5,1]=>7
[5,3,4,7,6,1,2]=>[1,3,3]=>5
[5,3,4,7,6,2,1]=>[1,3,2,1]=>11
[5,3,6,1,2,4,7]=>[1,6]=>1
[5,3,6,1,2,7,4]=>[1,4,2]=>6
[5,3,6,1,4,2,7]=>[1,4,2]=>6
[5,3,6,1,4,7,2]=>[1,4,2]=>6
[5,3,6,1,7,2,4]=>[1,3,3]=>5
[5,3,6,1,7,4,2]=>[1,3,2,1]=>11
[5,3,6,2,1,4,7]=>[1,3,3]=>5
[5,3,6,2,1,7,4]=>[1,3,1,2]=>10
[5,3,6,2,4,1,7]=>[1,4,2]=>6
[5,3,6,2,4,7,1]=>[1,4,2]=>6
[5,3,6,2,7,1,4]=>[1,3,3]=>5
[5,3,6,2,7,4,1]=>[1,3,2,1]=>11
[5,3,6,4,1,2,7]=>[1,3,3]=>5
[5,3,6,4,1,7,2]=>[1,3,1,2]=>10
[5,3,6,4,2,1,7]=>[1,3,1,2]=>10
[5,3,6,4,2,7,1]=>[1,3,1,2]=>10
[5,3,6,4,7,1,2]=>[1,3,3]=>5
[5,3,6,4,7,2,1]=>[1,3,2,1]=>11
[5,3,6,7,1,2,4]=>[1,6]=>1
[5,3,6,7,1,4,2]=>[1,5,1]=>7
[5,3,6,7,2,1,4]=>[1,4,2]=>6
[5,3,6,7,2,4,1]=>[1,5,1]=>7
[5,3,6,7,4,1,2]=>[1,4,2]=>6
[5,3,6,7,4,2,1]=>[1,4,1,1]=>12
[5,3,7,1,2,4,6]=>[1,6]=>1
[5,3,7,1,2,6,4]=>[1,5,1]=>7
[5,3,7,1,4,2,6]=>[1,4,2]=>6
[5,3,7,1,4,6,2]=>[1,5,1]=>7
[5,3,7,1,6,2,4]=>[1,3,3]=>5
[5,3,7,1,6,4,2]=>[1,3,2,1]=>11
[5,3,7,2,1,4,6]=>[1,3,3]=>5
[5,3,7,2,1,6,4]=>[1,3,2,1]=>11
[5,3,7,2,4,1,6]=>[1,4,2]=>6
[5,3,7,2,4,6,1]=>[1,5,1]=>7
[5,3,7,2,6,1,4]=>[1,3,3]=>5
[5,3,7,2,6,4,1]=>[1,3,2,1]=>11
[5,3,7,4,1,2,6]=>[1,3,3]=>5
[5,3,7,4,1,6,2]=>[1,3,2,1]=>11
[5,3,7,4,2,1,6]=>[1,3,1,2]=>10
[5,3,7,4,2,6,1]=>[1,3,2,1]=>11
[5,3,7,4,6,1,2]=>[1,3,3]=>5
[5,3,7,4,6,2,1]=>[1,3,2,1]=>11
[5,3,7,6,1,2,4]=>[1,2,4]=>4
[5,3,7,6,1,4,2]=>[1,2,3,1]=>10
[5,3,7,6,2,1,4]=>[1,2,2,2]=>9
[5,3,7,6,2,4,1]=>[1,2,3,1]=>10
[5,3,7,6,4,1,2]=>[1,2,2,2]=>9
[5,3,7,6,4,2,1]=>[1,2,2,1,1]=>15
[5,4,1,2,3,6,7]=>[1,6]=>1
[5,4,1,2,3,7,6]=>[1,4,2]=>6
[5,4,1,2,6,3,7]=>[1,3,3]=>5
[5,4,1,2,6,7,3]=>[1,3,3]=>5
[5,4,1,2,7,3,6]=>[1,3,3]=>5
[5,4,1,2,7,6,3]=>[1,3,2,1]=>11
[5,4,1,3,2,6,7]=>[1,3,3]=>5
[5,4,1,3,2,7,6]=>[1,3,1,2]=>10
[5,4,1,3,6,2,7]=>[1,3,3]=>5
[5,4,1,3,6,7,2]=>[1,3,3]=>5
[5,4,1,3,7,2,6]=>[1,3,3]=>5
[5,4,1,3,7,6,2]=>[1,3,2,1]=>11
[5,4,1,6,2,3,7]=>[1,2,4]=>4
[5,4,1,6,2,7,3]=>[1,2,2,2]=>9
[5,4,1,6,3,2,7]=>[1,2,2,2]=>9
[5,4,1,6,3,7,2]=>[1,2,2,2]=>9
[5,4,1,6,7,2,3]=>[1,2,4]=>4
[5,4,1,6,7,3,2]=>[1,2,3,1]=>10
[5,4,1,7,2,3,6]=>[1,2,4]=>4
[5,4,1,7,2,6,3]=>[1,2,3,1]=>10
[5,4,1,7,3,2,6]=>[1,2,2,2]=>9
[5,4,1,7,3,6,2]=>[1,2,3,1]=>10
[5,4,1,7,6,2,3]=>[1,2,1,3]=>8
[5,4,1,7,6,3,2]=>[1,2,1,2,1]=>14
[5,4,2,1,3,6,7]=>[1,2,4]=>4
[5,4,2,1,3,7,6]=>[1,2,2,2]=>9
[5,4,2,1,6,3,7]=>[1,2,1,3]=>8
[5,4,2,1,6,7,3]=>[1,2,1,3]=>8
[5,4,2,1,7,3,6]=>[1,2,1,3]=>8
[5,4,2,1,7,6,3]=>[1,2,1,2,1]=>14
[5,4,2,3,1,6,7]=>[1,3,3]=>5
[5,4,2,3,1,7,6]=>[1,3,1,2]=>10
[5,4,2,3,6,1,7]=>[1,3,3]=>5
[5,4,2,3,6,7,1]=>[1,3,3]=>5
[5,4,2,3,7,1,6]=>[1,3,3]=>5
[5,4,2,3,7,6,1]=>[1,3,2,1]=>11
[5,4,2,6,1,3,7]=>[1,2,4]=>4
[5,4,2,6,1,7,3]=>[1,2,2,2]=>9
[5,4,2,6,3,1,7]=>[1,2,2,2]=>9
[5,4,2,6,3,7,1]=>[1,2,2,2]=>9
[5,4,2,6,7,1,3]=>[1,2,4]=>4
[5,4,2,6,7,3,1]=>[1,2,3,1]=>10
[5,4,2,7,1,3,6]=>[1,2,4]=>4
[5,4,2,7,1,6,3]=>[1,2,3,1]=>10
[5,4,2,7,3,1,6]=>[1,2,2,2]=>9
[5,4,2,7,3,6,1]=>[1,2,3,1]=>10
[5,4,2,7,6,1,3]=>[1,2,1,3]=>8
[5,4,2,7,6,3,1]=>[1,2,1,2,1]=>14
[5,4,3,1,2,6,7]=>[1,2,4]=>4
[5,4,3,1,2,7,6]=>[1,2,2,2]=>9
[5,4,3,1,6,2,7]=>[1,2,1,3]=>8
[5,4,3,1,6,7,2]=>[1,2,1,3]=>8
[5,4,3,1,7,2,6]=>[1,2,1,3]=>8
[5,4,3,1,7,6,2]=>[1,2,1,2,1]=>14
[5,4,3,2,1,6,7]=>[1,2,1,3]=>8
[5,4,3,2,1,7,6]=>[1,2,1,1,2]=>13
[5,4,3,2,6,1,7]=>[1,2,1,3]=>8
[5,4,3,2,6,7,1]=>[1,2,1,3]=>8
[5,4,3,2,7,1,6]=>[1,2,1,3]=>8
[5,4,3,2,7,6,1]=>[1,2,1,2,1]=>14
[5,4,3,6,1,2,7]=>[1,2,4]=>4
[5,4,3,6,1,7,2]=>[1,2,2,2]=>9
[5,4,3,6,2,1,7]=>[1,2,2,2]=>9
[5,4,3,6,2,7,1]=>[1,2,2,2]=>9
[5,4,3,6,7,1,2]=>[1,2,4]=>4
[5,4,3,6,7,2,1]=>[1,2,3,1]=>10
[5,4,3,7,1,2,6]=>[1,2,4]=>4
[5,4,3,7,1,6,2]=>[1,2,3,1]=>10
[5,4,3,7,2,1,6]=>[1,2,2,2]=>9
[5,4,3,7,2,6,1]=>[1,2,3,1]=>10
[5,4,3,7,6,1,2]=>[1,2,1,3]=>8
[5,4,3,7,6,2,1]=>[1,2,1,2,1]=>14
[5,4,6,1,2,3,7]=>[1,6]=>1
[5,4,6,1,2,7,3]=>[1,4,2]=>6
[5,4,6,1,3,2,7]=>[1,4,2]=>6
[5,4,6,1,3,7,2]=>[1,4,2]=>6
[5,4,6,1,7,2,3]=>[1,3,3]=>5
[5,4,6,1,7,3,2]=>[1,3,2,1]=>11
[5,4,6,2,1,3,7]=>[1,3,3]=>5
[5,4,6,2,1,7,3]=>[1,3,1,2]=>10
[5,4,6,2,3,1,7]=>[1,4,2]=>6
[5,4,6,2,3,7,1]=>[1,4,2]=>6
[5,4,6,2,7,1,3]=>[1,3,3]=>5
[5,4,6,2,7,3,1]=>[1,3,2,1]=>11
[5,4,6,3,1,2,7]=>[1,3,3]=>5
[5,4,6,3,1,7,2]=>[1,3,1,2]=>10
[5,4,6,3,2,1,7]=>[1,3,1,2]=>10
[5,4,6,3,2,7,1]=>[1,3,1,2]=>10
[5,4,6,3,7,1,2]=>[1,3,3]=>5
[5,4,6,3,7,2,1]=>[1,3,2,1]=>11
[5,4,6,7,1,2,3]=>[1,6]=>1
[5,4,6,7,1,3,2]=>[1,5,1]=>7
[5,4,6,7,2,1,3]=>[1,4,2]=>6
[5,4,6,7,2,3,1]=>[1,5,1]=>7
[5,4,6,7,3,1,2]=>[1,4,2]=>6
[5,4,6,7,3,2,1]=>[1,4,1,1]=>12
[5,4,7,1,2,3,6]=>[1,6]=>1
[5,4,7,1,2,6,3]=>[1,5,1]=>7
[5,4,7,1,3,2,6]=>[1,4,2]=>6
[5,4,7,1,3,6,2]=>[1,5,1]=>7
[5,4,7,1,6,2,3]=>[1,3,3]=>5
[5,4,7,1,6,3,2]=>[1,3,2,1]=>11
[5,4,7,2,1,3,6]=>[1,3,3]=>5
[5,4,7,2,1,6,3]=>[1,3,2,1]=>11
[5,4,7,2,3,1,6]=>[1,4,2]=>6
[5,4,7,2,3,6,1]=>[1,5,1]=>7
[5,4,7,2,6,1,3]=>[1,3,3]=>5
[5,4,7,2,6,3,1]=>[1,3,2,1]=>11
[5,4,7,3,1,2,6]=>[1,3,3]=>5
[5,4,7,3,1,6,2]=>[1,3,2,1]=>11
[5,4,7,3,2,1,6]=>[1,3,1,2]=>10
[5,4,7,3,2,6,1]=>[1,3,2,1]=>11
[5,4,7,3,6,1,2]=>[1,3,3]=>5
[5,4,7,3,6,2,1]=>[1,3,2,1]=>11
[5,4,7,6,1,2,3]=>[1,2,4]=>4
[5,4,7,6,1,3,2]=>[1,2,3,1]=>10
[5,4,7,6,2,1,3]=>[1,2,2,2]=>9
[5,4,7,6,2,3,1]=>[1,2,3,1]=>10
[5,4,7,6,3,1,2]=>[1,2,2,2]=>9
[5,4,7,6,3,2,1]=>[1,2,2,1,1]=>15
[5,6,1,2,3,4,7]=>[7]=>0
[5,6,1,2,3,7,4]=>[5,2]=>5
[5,6,1,2,4,3,7]=>[5,2]=>5
[5,6,1,2,4,7,3]=>[5,2]=>5
[5,6,1,2,7,3,4]=>[4,3]=>4
[5,6,1,2,7,4,3]=>[4,2,1]=>10
[5,6,1,3,2,4,7]=>[4,3]=>4
[5,6,1,3,2,7,4]=>[4,1,2]=>9
[5,6,1,3,4,2,7]=>[5,2]=>5
[5,6,1,3,4,7,2]=>[5,2]=>5
[5,6,1,3,7,2,4]=>[4,3]=>4
[5,6,1,3,7,4,2]=>[4,2,1]=>10
[5,6,1,4,2,3,7]=>[4,3]=>4
[5,6,1,4,2,7,3]=>[4,1,2]=>9
[5,6,1,4,3,2,7]=>[4,1,2]=>9
[5,6,1,4,3,7,2]=>[4,1,2]=>9
[5,6,1,4,7,2,3]=>[4,3]=>4
[5,6,1,4,7,3,2]=>[4,2,1]=>10
[5,6,1,7,2,3,4]=>[3,4]=>3
[5,6,1,7,2,4,3]=>[3,3,1]=>9
[5,6,1,7,3,2,4]=>[3,2,2]=>8
[5,6,1,7,3,4,2]=>[3,3,1]=>9
[5,6,1,7,4,2,3]=>[3,2,2]=>8
[5,6,1,7,4,3,2]=>[3,2,1,1]=>14
[5,6,2,1,3,4,7]=>[3,4]=>3
[5,6,2,1,3,7,4]=>[3,2,2]=>8
[5,6,2,1,4,3,7]=>[3,2,2]=>8
[5,6,2,1,4,7,3]=>[3,2,2]=>8
[5,6,2,1,7,3,4]=>[3,1,3]=>7
[5,6,2,1,7,4,3]=>[3,1,2,1]=>13
[5,6,2,3,1,4,7]=>[4,3]=>4
[5,6,2,3,1,7,4]=>[4,1,2]=>9
[5,6,2,3,4,1,7]=>[5,2]=>5
[5,6,2,3,4,7,1]=>[5,2]=>5
[5,6,2,3,7,1,4]=>[4,3]=>4
[5,6,2,3,7,4,1]=>[4,2,1]=>10
[5,6,2,4,1,3,7]=>[4,3]=>4
[5,6,2,4,1,7,3]=>[4,1,2]=>9
[5,6,2,4,3,1,7]=>[4,1,2]=>9
[5,6,2,4,3,7,1]=>[4,1,2]=>9
[5,6,2,4,7,1,3]=>[4,3]=>4
[5,6,2,4,7,3,1]=>[4,2,1]=>10
[5,6,2,7,1,3,4]=>[3,4]=>3
[5,6,2,7,1,4,3]=>[3,3,1]=>9
[5,6,2,7,3,1,4]=>[3,2,2]=>8
[5,6,2,7,3,4,1]=>[3,3,1]=>9
[5,6,2,7,4,1,3]=>[3,2,2]=>8
[5,6,2,7,4,3,1]=>[3,2,1,1]=>14
[5,6,3,1,2,4,7]=>[3,4]=>3
[5,6,3,1,2,7,4]=>[3,2,2]=>8
[5,6,3,1,4,2,7]=>[3,2,2]=>8
[5,6,3,1,4,7,2]=>[3,2,2]=>8
[5,6,3,1,7,2,4]=>[3,1,3]=>7
[5,6,3,1,7,4,2]=>[3,1,2,1]=>13
[5,6,3,2,1,4,7]=>[3,1,3]=>7
[5,6,3,2,1,7,4]=>[3,1,1,2]=>12
[5,6,3,2,4,1,7]=>[3,2,2]=>8
[5,6,3,2,4,7,1]=>[3,2,2]=>8
[5,6,3,2,7,1,4]=>[3,1,3]=>7
[5,6,3,2,7,4,1]=>[3,1,2,1]=>13
[5,6,3,4,1,2,7]=>[4,3]=>4
[5,6,3,4,1,7,2]=>[4,1,2]=>9
[5,6,3,4,2,1,7]=>[4,1,2]=>9
[5,6,3,4,2,7,1]=>[4,1,2]=>9
[5,6,3,4,7,1,2]=>[4,3]=>4
[5,6,3,4,7,2,1]=>[4,2,1]=>10
[5,6,3,7,1,2,4]=>[3,4]=>3
[5,6,3,7,1,4,2]=>[3,3,1]=>9
[5,6,3,7,2,1,4]=>[3,2,2]=>8
[5,6,3,7,2,4,1]=>[3,3,1]=>9
[5,6,3,7,4,1,2]=>[3,2,2]=>8
[5,6,3,7,4,2,1]=>[3,2,1,1]=>14
[5,6,4,1,2,3,7]=>[2,5]=>2
[5,6,4,1,2,7,3]=>[2,3,2]=>7
[5,6,4,1,3,2,7]=>[2,3,2]=>7
[5,6,4,1,3,7,2]=>[2,3,2]=>7
[5,6,4,1,7,2,3]=>[2,2,3]=>6
[5,6,4,1,7,3,2]=>[2,2,2,1]=>12
[5,6,4,2,1,3,7]=>[2,2,3]=>6
[5,6,4,2,1,7,3]=>[2,2,1,2]=>11
[5,6,4,2,3,1,7]=>[2,3,2]=>7
[5,6,4,2,3,7,1]=>[2,3,2]=>7
[5,6,4,2,7,1,3]=>[2,2,3]=>6
[5,6,4,2,7,3,1]=>[2,2,2,1]=>12
[5,6,4,3,1,2,7]=>[2,2,3]=>6
[5,6,4,3,1,7,2]=>[2,2,1,2]=>11
[5,6,4,3,2,1,7]=>[2,2,1,2]=>11
[5,6,4,3,2,7,1]=>[2,2,1,2]=>11
[5,6,4,3,7,1,2]=>[2,2,3]=>6
[5,6,4,3,7,2,1]=>[2,2,2,1]=>12
[5,6,4,7,1,2,3]=>[2,5]=>2
[5,6,4,7,1,3,2]=>[2,4,1]=>8
[5,6,4,7,2,1,3]=>[2,3,2]=>7
[5,6,4,7,2,3,1]=>[2,4,1]=>8
[5,6,4,7,3,1,2]=>[2,3,2]=>7
[5,6,4,7,3,2,1]=>[2,3,1,1]=>13
[5,6,7,1,2,3,4]=>[7]=>0
[5,6,7,1,2,4,3]=>[6,1]=>6
[5,6,7,1,3,2,4]=>[5,2]=>5
[5,6,7,1,3,4,2]=>[6,1]=>6
[5,6,7,1,4,2,3]=>[5,2]=>5
[5,6,7,1,4,3,2]=>[5,1,1]=>11
[5,6,7,2,1,3,4]=>[4,3]=>4
[5,6,7,2,1,4,3]=>[4,2,1]=>10
[5,6,7,2,3,1,4]=>[5,2]=>5
[5,6,7,2,3,4,1]=>[6,1]=>6
[5,6,7,2,4,1,3]=>[5,2]=>5
[5,6,7,2,4,3,1]=>[5,1,1]=>11
[5,6,7,3,1,2,4]=>[4,3]=>4
[5,6,7,3,1,4,2]=>[4,2,1]=>10
[5,6,7,3,2,1,4]=>[4,1,2]=>9
[5,6,7,3,2,4,1]=>[4,2,1]=>10
[5,6,7,3,4,1,2]=>[5,2]=>5
[5,6,7,3,4,2,1]=>[5,1,1]=>11
[5,6,7,4,1,2,3]=>[4,3]=>4
[5,6,7,4,1,3,2]=>[4,2,1]=>10
[5,6,7,4,2,1,3]=>[4,1,2]=>9
[5,6,7,4,2,3,1]=>[4,2,1]=>10
[5,6,7,4,3,1,2]=>[4,1,2]=>9
[5,6,7,4,3,2,1]=>[4,1,1,1]=>15
[5,7,1,2,3,4,6]=>[7]=>0
[5,7,1,2,3,6,4]=>[6,1]=>6
[5,7,1,2,4,3,6]=>[5,2]=>5
[5,7,1,2,4,6,3]=>[6,1]=>6
[5,7,1,2,6,3,4]=>[4,3]=>4
[5,7,1,2,6,4,3]=>[4,2,1]=>10
[5,7,1,3,2,4,6]=>[4,3]=>4
[5,7,1,3,2,6,4]=>[4,2,1]=>10
[5,7,1,3,4,2,6]=>[5,2]=>5
[5,7,1,3,4,6,2]=>[6,1]=>6
[5,7,1,3,6,2,4]=>[4,3]=>4
[5,7,1,3,6,4,2]=>[4,2,1]=>10
[5,7,1,4,2,3,6]=>[4,3]=>4
[5,7,1,4,2,6,3]=>[4,2,1]=>10
[5,7,1,4,3,2,6]=>[4,1,2]=>9
[5,7,1,4,3,6,2]=>[4,2,1]=>10
[5,7,1,4,6,2,3]=>[4,3]=>4
[5,7,1,4,6,3,2]=>[4,2,1]=>10
[5,7,1,6,2,3,4]=>[3,4]=>3
[5,7,1,6,2,4,3]=>[3,3,1]=>9
[5,7,1,6,3,2,4]=>[3,2,2]=>8
[5,7,1,6,3,4,2]=>[3,3,1]=>9
[5,7,1,6,4,2,3]=>[3,2,2]=>8
[5,7,1,6,4,3,2]=>[3,2,1,1]=>14
[5,7,2,1,3,4,6]=>[3,4]=>3
[5,7,2,1,3,6,4]=>[3,3,1]=>9
[5,7,2,1,4,3,6]=>[3,2,2]=>8
[5,7,2,1,4,6,3]=>[3,3,1]=>9
[5,7,2,1,6,3,4]=>[3,1,3]=>7
[5,7,2,1,6,4,3]=>[3,1,2,1]=>13
[5,7,2,3,1,4,6]=>[4,3]=>4
[5,7,2,3,1,6,4]=>[4,2,1]=>10
[5,7,2,3,4,1,6]=>[5,2]=>5
[5,7,2,3,4,6,1]=>[6,1]=>6
[5,7,2,3,6,1,4]=>[4,3]=>4
[5,7,2,3,6,4,1]=>[4,2,1]=>10
[5,7,2,4,1,3,6]=>[4,3]=>4
[5,7,2,4,1,6,3]=>[4,2,1]=>10
[5,7,2,4,3,1,6]=>[4,1,2]=>9
[5,7,2,4,3,6,1]=>[4,2,1]=>10
[5,7,2,4,6,1,3]=>[4,3]=>4
[5,7,2,4,6,3,1]=>[4,2,1]=>10
[5,7,2,6,1,3,4]=>[3,4]=>3
[5,7,2,6,1,4,3]=>[3,3,1]=>9
[5,7,2,6,3,1,4]=>[3,2,2]=>8
[5,7,2,6,3,4,1]=>[3,3,1]=>9
[5,7,2,6,4,1,3]=>[3,2,2]=>8
[5,7,2,6,4,3,1]=>[3,2,1,1]=>14
[5,7,3,1,2,4,6]=>[3,4]=>3
[5,7,3,1,2,6,4]=>[3,3,1]=>9
[5,7,3,1,4,2,6]=>[3,2,2]=>8
[5,7,3,1,4,6,2]=>[3,3,1]=>9
[5,7,3,1,6,2,4]=>[3,1,3]=>7
[5,7,3,1,6,4,2]=>[3,1,2,1]=>13
[5,7,3,2,1,4,6]=>[3,1,3]=>7
[5,7,3,2,1,6,4]=>[3,1,2,1]=>13
[5,7,3,2,4,1,6]=>[3,2,2]=>8
[5,7,3,2,4,6,1]=>[3,3,1]=>9
[5,7,3,2,6,1,4]=>[3,1,3]=>7
[5,7,3,2,6,4,1]=>[3,1,2,1]=>13
[5,7,3,4,1,2,6]=>[4,3]=>4
[5,7,3,4,1,6,2]=>[4,2,1]=>10
[5,7,3,4,2,1,6]=>[4,1,2]=>9
[5,7,3,4,2,6,1]=>[4,2,1]=>10
[5,7,3,4,6,1,2]=>[4,3]=>4
[5,7,3,4,6,2,1]=>[4,2,1]=>10
[5,7,3,6,1,2,4]=>[3,4]=>3
[5,7,3,6,1,4,2]=>[3,3,1]=>9
[5,7,3,6,2,1,4]=>[3,2,2]=>8
[5,7,3,6,2,4,1]=>[3,3,1]=>9
[5,7,3,6,4,1,2]=>[3,2,2]=>8
[5,7,3,6,4,2,1]=>[3,2,1,1]=>14
[5,7,4,1,2,3,6]=>[2,5]=>2
[5,7,4,1,2,6,3]=>[2,4,1]=>8
[5,7,4,1,3,2,6]=>[2,3,2]=>7
[5,7,4,1,3,6,2]=>[2,4,1]=>8
[5,7,4,1,6,2,3]=>[2,2,3]=>6
[5,7,4,1,6,3,2]=>[2,2,2,1]=>12
[5,7,4,2,1,3,6]=>[2,2,3]=>6
[5,7,4,2,1,6,3]=>[2,2,2,1]=>12
[5,7,4,2,3,1,6]=>[2,3,2]=>7
[5,7,4,2,3,6,1]=>[2,4,1]=>8
[5,7,4,2,6,1,3]=>[2,2,3]=>6
[5,7,4,2,6,3,1]=>[2,2,2,1]=>12
[5,7,4,3,1,2,6]=>[2,2,3]=>6
[5,7,4,3,1,6,2]=>[2,2,2,1]=>12
[5,7,4,3,2,1,6]=>[2,2,1,2]=>11
[5,7,4,3,2,6,1]=>[2,2,2,1]=>12
[5,7,4,3,6,1,2]=>[2,2,3]=>6
[5,7,4,3,6,2,1]=>[2,2,2,1]=>12
[5,7,4,6,1,2,3]=>[2,5]=>2
[5,7,4,6,1,3,2]=>[2,4,1]=>8
[5,7,4,6,2,1,3]=>[2,3,2]=>7
[5,7,4,6,2,3,1]=>[2,4,1]=>8
[5,7,4,6,3,1,2]=>[2,3,2]=>7
[5,7,4,6,3,2,1]=>[2,3,1,1]=>13
[5,7,6,1,2,3,4]=>[2,5]=>2
[5,7,6,1,2,4,3]=>[2,4,1]=>8
[5,7,6,1,3,2,4]=>[2,3,2]=>7
[5,7,6,1,3,4,2]=>[2,4,1]=>8
[5,7,6,1,4,2,3]=>[2,3,2]=>7
[5,7,6,1,4,3,2]=>[2,3,1,1]=>13
[5,7,6,2,1,3,4]=>[2,2,3]=>6
[5,7,6,2,1,4,3]=>[2,2,2,1]=>12
[5,7,6,2,3,1,4]=>[2,3,2]=>7
[5,7,6,2,3,4,1]=>[2,4,1]=>8
[5,7,6,2,4,1,3]=>[2,3,2]=>7
[5,7,6,2,4,3,1]=>[2,3,1,1]=>13
[5,7,6,3,1,2,4]=>[2,2,3]=>6
[5,7,6,3,1,4,2]=>[2,2,2,1]=>12
[5,7,6,3,2,1,4]=>[2,2,1,2]=>11
[5,7,6,3,2,4,1]=>[2,2,2,1]=>12
[5,7,6,3,4,1,2]=>[2,3,2]=>7
[5,7,6,3,4,2,1]=>[2,3,1,1]=>13
[5,7,6,4,1,2,3]=>[2,2,3]=>6
[5,7,6,4,1,3,2]=>[2,2,2,1]=>12
[5,7,6,4,2,1,3]=>[2,2,1,2]=>11
[5,7,6,4,2,3,1]=>[2,2,2,1]=>12
[5,7,6,4,3,1,2]=>[2,2,1,2]=>11
[5,7,6,4,3,2,1]=>[2,2,1,1,1]=>17
[6,1,2,3,4,5,7]=>[7]=>0
[6,1,2,3,4,7,5]=>[5,2]=>5
[6,1,2,3,5,4,7]=>[5,2]=>5
[6,1,2,3,5,7,4]=>[5,2]=>5
[6,1,2,3,7,4,5]=>[4,3]=>4
[6,1,2,3,7,5,4]=>[4,2,1]=>10
[6,1,2,4,3,5,7]=>[4,3]=>4
[6,1,2,4,3,7,5]=>[4,1,2]=>9
[6,1,2,4,5,3,7]=>[5,2]=>5
[6,1,2,4,5,7,3]=>[5,2]=>5
[6,1,2,4,7,3,5]=>[4,3]=>4
[6,1,2,4,7,5,3]=>[4,2,1]=>10
[6,1,2,5,3,4,7]=>[3,4]=>3
[6,1,2,5,3,7,4]=>[3,2,2]=>8
[6,1,2,5,4,3,7]=>[3,2,2]=>8
[6,1,2,5,4,7,3]=>[3,2,2]=>8
[6,1,2,5,7,3,4]=>[3,4]=>3
[6,1,2,5,7,4,3]=>[3,3,1]=>9
[6,1,2,7,3,4,5]=>[3,4]=>3
[6,1,2,7,3,5,4]=>[3,3,1]=>9
[6,1,2,7,4,3,5]=>[3,2,2]=>8
[6,1,2,7,4,5,3]=>[3,3,1]=>9
[6,1,2,7,5,3,4]=>[3,2,2]=>8
[6,1,2,7,5,4,3]=>[3,2,1,1]=>14
[6,1,3,2,4,5,7]=>[3,4]=>3
[6,1,3,2,4,7,5]=>[3,2,2]=>8
[6,1,3,2,5,4,7]=>[3,2,2]=>8
[6,1,3,2,5,7,4]=>[3,2,2]=>8
[6,1,3,2,7,4,5]=>[3,1,3]=>7
[6,1,3,2,7,5,4]=>[3,1,2,1]=>13
[6,1,3,4,2,5,7]=>[4,3]=>4
[6,1,3,4,2,7,5]=>[4,1,2]=>9
[6,1,3,4,5,2,7]=>[5,2]=>5
[6,1,3,4,5,7,2]=>[5,2]=>5
[6,1,3,4,7,2,5]=>[4,3]=>4
[6,1,3,4,7,5,2]=>[4,2,1]=>10
[6,1,3,5,2,4,7]=>[3,4]=>3
[6,1,3,5,2,7,4]=>[3,2,2]=>8
[6,1,3,5,4,2,7]=>[3,2,2]=>8
[6,1,3,5,4,7,2]=>[3,2,2]=>8
[6,1,3,5,7,2,4]=>[3,4]=>3
[6,1,3,5,7,4,2]=>[3,3,1]=>9
[6,1,3,7,2,4,5]=>[3,4]=>3
[6,1,3,7,2,5,4]=>[3,3,1]=>9
[6,1,3,7,4,2,5]=>[3,2,2]=>8
[6,1,3,7,4,5,2]=>[3,3,1]=>9
[6,1,3,7,5,2,4]=>[3,2,2]=>8
[6,1,3,7,5,4,2]=>[3,2,1,1]=>14
[6,1,4,2,3,5,7]=>[2,5]=>2
[6,1,4,2,3,7,5]=>[2,3,2]=>7
[6,1,4,2,5,3,7]=>[2,3,2]=>7
[6,1,4,2,5,7,3]=>[2,3,2]=>7
[6,1,4,2,7,3,5]=>[2,2,3]=>6
[6,1,4,2,7,5,3]=>[2,2,2,1]=>12
[6,1,4,3,2,5,7]=>[2,2,3]=>6
[6,1,4,3,2,7,5]=>[2,2,1,2]=>11
[6,1,4,3,5,2,7]=>[2,3,2]=>7
[6,1,4,3,5,7,2]=>[2,3,2]=>7
[6,1,4,3,7,2,5]=>[2,2,3]=>6
[6,1,4,3,7,5,2]=>[2,2,2,1]=>12
[6,1,4,5,2,3,7]=>[2,5]=>2
[6,1,4,5,2,7,3]=>[2,3,2]=>7
[6,1,4,5,3,2,7]=>[2,3,2]=>7
[6,1,4,5,3,7,2]=>[2,3,2]=>7
[6,1,4,5,7,2,3]=>[2,5]=>2
[6,1,4,5,7,3,2]=>[2,4,1]=>8
[6,1,4,7,2,3,5]=>[2,5]=>2
[6,1,4,7,2,5,3]=>[2,4,1]=>8
[6,1,4,7,3,2,5]=>[2,3,2]=>7
[6,1,4,7,3,5,2]=>[2,4,1]=>8
[6,1,4,7,5,2,3]=>[2,3,2]=>7
[6,1,4,7,5,3,2]=>[2,3,1,1]=>13
[6,1,5,2,3,4,7]=>[2,5]=>2
[6,1,5,2,3,7,4]=>[2,3,2]=>7
[6,1,5,2,4,3,7]=>[2,3,2]=>7
[6,1,5,2,4,7,3]=>[2,3,2]=>7
[6,1,5,2,7,3,4]=>[2,2,3]=>6
[6,1,5,2,7,4,3]=>[2,2,2,1]=>12
[6,1,5,3,2,4,7]=>[2,2,3]=>6
[6,1,5,3,2,7,4]=>[2,2,1,2]=>11
[6,1,5,3,4,2,7]=>[2,3,2]=>7
[6,1,5,3,4,7,2]=>[2,3,2]=>7
[6,1,5,3,7,2,4]=>[2,2,3]=>6
[6,1,5,3,7,4,2]=>[2,2,2,1]=>12
[6,1,5,4,2,3,7]=>[2,2,3]=>6
[6,1,5,4,2,7,3]=>[2,2,1,2]=>11
[6,1,5,4,3,2,7]=>[2,2,1,2]=>11
[6,1,5,4,3,7,2]=>[2,2,1,2]=>11
[6,1,5,4,7,2,3]=>[2,2,3]=>6
[6,1,5,4,7,3,2]=>[2,2,2,1]=>12
[6,1,5,7,2,3,4]=>[2,5]=>2
[6,1,5,7,2,4,3]=>[2,4,1]=>8
[6,1,5,7,3,2,4]=>[2,3,2]=>7
[6,1,5,7,3,4,2]=>[2,4,1]=>8
[6,1,5,7,4,2,3]=>[2,3,2]=>7
[6,1,5,7,4,3,2]=>[2,3,1,1]=>13
[6,1,7,2,3,4,5]=>[2,5]=>2
[6,1,7,2,3,5,4]=>[2,4,1]=>8
[6,1,7,2,4,3,5]=>[2,3,2]=>7
[6,1,7,2,4,5,3]=>[2,4,1]=>8
[6,1,7,2,5,3,4]=>[2,3,2]=>7
[6,1,7,2,5,4,3]=>[2,3,1,1]=>13
[6,1,7,3,2,4,5]=>[2,2,3]=>6
[6,1,7,3,2,5,4]=>[2,2,2,1]=>12
[6,1,7,3,4,2,5]=>[2,3,2]=>7
[6,1,7,3,4,5,2]=>[2,4,1]=>8
[6,1,7,3,5,2,4]=>[2,3,2]=>7
[6,1,7,3,5,4,2]=>[2,3,1,1]=>13
[6,1,7,4,2,3,5]=>[2,2,3]=>6
[6,1,7,4,2,5,3]=>[2,2,2,1]=>12
[6,1,7,4,3,2,5]=>[2,2,1,2]=>11
[6,1,7,4,3,5,2]=>[2,2,2,1]=>12
[6,1,7,4,5,2,3]=>[2,3,2]=>7
[6,1,7,4,5,3,2]=>[2,3,1,1]=>13
[6,1,7,5,2,3,4]=>[2,1,4]=>5
[6,1,7,5,2,4,3]=>[2,1,3,1]=>11
[6,1,7,5,3,2,4]=>[2,1,2,2]=>10
[6,1,7,5,3,4,2]=>[2,1,3,1]=>11
[6,1,7,5,4,2,3]=>[2,1,2,2]=>10
[6,1,7,5,4,3,2]=>[2,1,2,1,1]=>16
[6,2,1,3,4,5,7]=>[2,5]=>2
[6,2,1,3,4,7,5]=>[2,3,2]=>7
[6,2,1,3,5,4,7]=>[2,3,2]=>7
[6,2,1,3,5,7,4]=>[2,3,2]=>7
[6,2,1,3,7,4,5]=>[2,2,3]=>6
[6,2,1,3,7,5,4]=>[2,2,2,1]=>12
[6,2,1,4,3,5,7]=>[2,2,3]=>6
[6,2,1,4,3,7,5]=>[2,2,1,2]=>11
[6,2,1,4,5,3,7]=>[2,3,2]=>7
[6,2,1,4,5,7,3]=>[2,3,2]=>7
[6,2,1,4,7,3,5]=>[2,2,3]=>6
[6,2,1,4,7,5,3]=>[2,2,2,1]=>12
[6,2,1,5,3,4,7]=>[2,1,4]=>5
[6,2,1,5,3,7,4]=>[2,1,2,2]=>10
[6,2,1,5,4,3,7]=>[2,1,2,2]=>10
[6,2,1,5,4,7,3]=>[2,1,2,2]=>10
[6,2,1,5,7,3,4]=>[2,1,4]=>5
[6,2,1,5,7,4,3]=>[2,1,3,1]=>11
[6,2,1,7,3,4,5]=>[2,1,4]=>5
[6,2,1,7,3,5,4]=>[2,1,3,1]=>11
[6,2,1,7,4,3,5]=>[2,1,2,2]=>10
[6,2,1,7,4,5,3]=>[2,1,3,1]=>11
[6,2,1,7,5,3,4]=>[2,1,2,2]=>10
[6,2,1,7,5,4,3]=>[2,1,2,1,1]=>16
[6,2,3,1,4,5,7]=>[3,4]=>3
[6,2,3,1,4,7,5]=>[3,2,2]=>8
[6,2,3,1,5,4,7]=>[3,2,2]=>8
[6,2,3,1,5,7,4]=>[3,2,2]=>8
[6,2,3,1,7,4,5]=>[3,1,3]=>7
[6,2,3,1,7,5,4]=>[3,1,2,1]=>13
[6,2,3,4,1,5,7]=>[4,3]=>4
[6,2,3,4,1,7,5]=>[4,1,2]=>9
[6,2,3,4,5,1,7]=>[5,2]=>5
[6,2,3,4,5,7,1]=>[5,2]=>5
[6,2,3,4,7,1,5]=>[4,3]=>4
[6,2,3,4,7,5,1]=>[4,2,1]=>10
[6,2,3,5,1,4,7]=>[3,4]=>3
[6,2,3,5,1,7,4]=>[3,2,2]=>8
[6,2,3,5,4,1,7]=>[3,2,2]=>8
[6,2,3,5,4,7,1]=>[3,2,2]=>8
[6,2,3,5,7,1,4]=>[3,4]=>3
[6,2,3,5,7,4,1]=>[3,3,1]=>9
[6,2,3,7,1,4,5]=>[3,4]=>3
[6,2,3,7,1,5,4]=>[3,3,1]=>9
[6,2,3,7,4,1,5]=>[3,2,2]=>8
[6,2,3,7,4,5,1]=>[3,3,1]=>9
[6,2,3,7,5,1,4]=>[3,2,2]=>8
[6,2,3,7,5,4,1]=>[3,2,1,1]=>14
[6,2,4,1,3,5,7]=>[2,5]=>2
[6,2,4,1,3,7,5]=>[2,3,2]=>7
[6,2,4,1,5,3,7]=>[2,3,2]=>7
[6,2,4,1,5,7,3]=>[2,3,2]=>7
[6,2,4,1,7,3,5]=>[2,2,3]=>6
[6,2,4,1,7,5,3]=>[2,2,2,1]=>12
[6,2,4,3,1,5,7]=>[2,2,3]=>6
[6,2,4,3,1,7,5]=>[2,2,1,2]=>11
[6,2,4,3,5,1,7]=>[2,3,2]=>7
[6,2,4,3,5,7,1]=>[2,3,2]=>7
[6,2,4,3,7,1,5]=>[2,2,3]=>6
[6,2,4,3,7,5,1]=>[2,2,2,1]=>12
[6,2,4,5,1,3,7]=>[2,5]=>2
[6,2,4,5,1,7,3]=>[2,3,2]=>7
[6,2,4,5,3,1,7]=>[2,3,2]=>7
[6,2,4,5,3,7,1]=>[2,3,2]=>7
[6,2,4,5,7,1,3]=>[2,5]=>2
[6,2,4,5,7,3,1]=>[2,4,1]=>8
[6,2,4,7,1,3,5]=>[2,5]=>2
[6,2,4,7,1,5,3]=>[2,4,1]=>8
[6,2,4,7,3,1,5]=>[2,3,2]=>7
[6,2,4,7,3,5,1]=>[2,4,1]=>8
[6,2,4,7,5,1,3]=>[2,3,2]=>7
[6,2,4,7,5,3,1]=>[2,3,1,1]=>13
[6,2,5,1,3,4,7]=>[2,5]=>2
[6,2,5,1,3,7,4]=>[2,3,2]=>7
[6,2,5,1,4,3,7]=>[2,3,2]=>7
[6,2,5,1,4,7,3]=>[2,3,2]=>7
[6,2,5,1,7,3,4]=>[2,2,3]=>6
[6,2,5,1,7,4,3]=>[2,2,2,1]=>12
[6,2,5,3,1,4,7]=>[2,2,3]=>6
[6,2,5,3,1,7,4]=>[2,2,1,2]=>11
[6,2,5,3,4,1,7]=>[2,3,2]=>7
[6,2,5,3,4,7,1]=>[2,3,2]=>7
[6,2,5,3,7,1,4]=>[2,2,3]=>6
[6,2,5,3,7,4,1]=>[2,2,2,1]=>12
[6,2,5,4,1,3,7]=>[2,2,3]=>6
[6,2,5,4,1,7,3]=>[2,2,1,2]=>11
[6,2,5,4,3,1,7]=>[2,2,1,2]=>11
[6,2,5,4,3,7,1]=>[2,2,1,2]=>11
[6,2,5,4,7,1,3]=>[2,2,3]=>6
[6,2,5,4,7,3,1]=>[2,2,2,1]=>12
[6,2,5,7,1,3,4]=>[2,5]=>2
[6,2,5,7,1,4,3]=>[2,4,1]=>8
[6,2,5,7,3,1,4]=>[2,3,2]=>7
[6,2,5,7,3,4,1]=>[2,4,1]=>8
[6,2,5,7,4,1,3]=>[2,3,2]=>7
[6,2,5,7,4,3,1]=>[2,3,1,1]=>13
[6,2,7,1,3,4,5]=>[2,5]=>2
[6,2,7,1,3,5,4]=>[2,4,1]=>8
[6,2,7,1,4,3,5]=>[2,3,2]=>7
[6,2,7,1,4,5,3]=>[2,4,1]=>8
[6,2,7,1,5,3,4]=>[2,3,2]=>7
[6,2,7,1,5,4,3]=>[2,3,1,1]=>13
[6,2,7,3,1,4,5]=>[2,2,3]=>6
[6,2,7,3,1,5,4]=>[2,2,2,1]=>12
[6,2,7,3,4,1,5]=>[2,3,2]=>7
[6,2,7,3,4,5,1]=>[2,4,1]=>8
[6,2,7,3,5,1,4]=>[2,3,2]=>7
[6,2,7,3,5,4,1]=>[2,3,1,1]=>13
[6,2,7,4,1,3,5]=>[2,2,3]=>6
[6,2,7,4,1,5,3]=>[2,2,2,1]=>12
[6,2,7,4,3,1,5]=>[2,2,1,2]=>11
[6,2,7,4,3,5,1]=>[2,2,2,1]=>12
[6,2,7,4,5,1,3]=>[2,3,2]=>7
[6,2,7,4,5,3,1]=>[2,3,1,1]=>13
[6,2,7,5,1,3,4]=>[2,1,4]=>5
[6,2,7,5,1,4,3]=>[2,1,3,1]=>11
[6,2,7,5,3,1,4]=>[2,1,2,2]=>10
[6,2,7,5,3,4,1]=>[2,1,3,1]=>11
[6,2,7,5,4,1,3]=>[2,1,2,2]=>10
[6,2,7,5,4,3,1]=>[2,1,2,1,1]=>16
[6,3,1,2,4,5,7]=>[1,6]=>1
[6,3,1,2,4,7,5]=>[1,4,2]=>6
[6,3,1,2,5,4,7]=>[1,4,2]=>6
[6,3,1,2,5,7,4]=>[1,4,2]=>6
[6,3,1,2,7,4,5]=>[1,3,3]=>5
[6,3,1,2,7,5,4]=>[1,3,2,1]=>11
[6,3,1,4,2,5,7]=>[1,3,3]=>5
[6,3,1,4,2,7,5]=>[1,3,1,2]=>10
[6,3,1,4,5,2,7]=>[1,4,2]=>6
[6,3,1,4,5,7,2]=>[1,4,2]=>6
[6,3,1,4,7,2,5]=>[1,3,3]=>5
[6,3,1,4,7,5,2]=>[1,3,2,1]=>11
[6,3,1,5,2,4,7]=>[1,2,4]=>4
[6,3,1,5,2,7,4]=>[1,2,2,2]=>9
[6,3,1,5,4,2,7]=>[1,2,2,2]=>9
[6,3,1,5,4,7,2]=>[1,2,2,2]=>9
[6,3,1,5,7,2,4]=>[1,2,4]=>4
[6,3,1,5,7,4,2]=>[1,2,3,1]=>10
[6,3,1,7,2,4,5]=>[1,2,4]=>4
[6,3,1,7,2,5,4]=>[1,2,3,1]=>10
[6,3,1,7,4,2,5]=>[1,2,2,2]=>9
[6,3,1,7,4,5,2]=>[1,2,3,1]=>10
[6,3,1,7,5,2,4]=>[1,2,2,2]=>9
[6,3,1,7,5,4,2]=>[1,2,2,1,1]=>15
[6,3,2,1,4,5,7]=>[1,2,4]=>4
[6,3,2,1,4,7,5]=>[1,2,2,2]=>9
[6,3,2,1,5,4,7]=>[1,2,2,2]=>9
[6,3,2,1,5,7,4]=>[1,2,2,2]=>9
[6,3,2,1,7,4,5]=>[1,2,1,3]=>8
[6,3,2,1,7,5,4]=>[1,2,1,2,1]=>14
[6,3,2,4,1,5,7]=>[1,3,3]=>5
[6,3,2,4,1,7,5]=>[1,3,1,2]=>10
[6,3,2,4,5,1,7]=>[1,4,2]=>6
[6,3,2,4,5,7,1]=>[1,4,2]=>6
[6,3,2,4,7,1,5]=>[1,3,3]=>5
[6,3,2,4,7,5,1]=>[1,3,2,1]=>11
[6,3,2,5,1,4,7]=>[1,2,4]=>4
[6,3,2,5,1,7,4]=>[1,2,2,2]=>9
[6,3,2,5,4,1,7]=>[1,2,2,2]=>9
[6,3,2,5,4,7,1]=>[1,2,2,2]=>9
[6,3,2,5,7,1,4]=>[1,2,4]=>4
[6,3,2,5,7,4,1]=>[1,2,3,1]=>10
[6,3,2,7,1,4,5]=>[1,2,4]=>4
[6,3,2,7,1,5,4]=>[1,2,3,1]=>10
[6,3,2,7,4,1,5]=>[1,2,2,2]=>9
[6,3,2,7,4,5,1]=>[1,2,3,1]=>10
[6,3,2,7,5,1,4]=>[1,2,2,2]=>9
[6,3,2,7,5,4,1]=>[1,2,2,1,1]=>15
[6,3,4,1,2,5,7]=>[1,6]=>1
[6,3,4,1,2,7,5]=>[1,4,2]=>6
[6,3,4,1,5,2,7]=>[1,4,2]=>6
[6,3,4,1,5,7,2]=>[1,4,2]=>6
[6,3,4,1,7,2,5]=>[1,3,3]=>5
[6,3,4,1,7,5,2]=>[1,3,2,1]=>11
[6,3,4,2,1,5,7]=>[1,3,3]=>5
[6,3,4,2,1,7,5]=>[1,3,1,2]=>10
[6,3,4,2,5,1,7]=>[1,4,2]=>6
[6,3,4,2,5,7,1]=>[1,4,2]=>6
[6,3,4,2,7,1,5]=>[1,3,3]=>5
[6,3,4,2,7,5,1]=>[1,3,2,1]=>11
[6,3,4,5,1,2,7]=>[1,6]=>1
[6,3,4,5,1,7,2]=>[1,4,2]=>6
[6,3,4,5,2,1,7]=>[1,4,2]=>6
[6,3,4,5,2,7,1]=>[1,4,2]=>6
[6,3,4,5,7,1,2]=>[1,6]=>1
[6,3,4,5,7,2,1]=>[1,5,1]=>7
[6,3,4,7,1,2,5]=>[1,6]=>1
[6,3,4,7,1,5,2]=>[1,5,1]=>7
[6,3,4,7,2,1,5]=>[1,4,2]=>6
[6,3,4,7,2,5,1]=>[1,5,1]=>7
[6,3,4,7,5,1,2]=>[1,4,2]=>6
[6,3,4,7,5,2,1]=>[1,4,1,1]=>12
[6,3,5,1,2,4,7]=>[1,6]=>1
[6,3,5,1,2,7,4]=>[1,4,2]=>6
[6,3,5,1,4,2,7]=>[1,4,2]=>6
[6,3,5,1,4,7,2]=>[1,4,2]=>6
[6,3,5,1,7,2,4]=>[1,3,3]=>5
[6,3,5,1,7,4,2]=>[1,3,2,1]=>11
[6,3,5,2,1,4,7]=>[1,3,3]=>5
[6,3,5,2,1,7,4]=>[1,3,1,2]=>10
[6,3,5,2,4,1,7]=>[1,4,2]=>6
[6,3,5,2,4,7,1]=>[1,4,2]=>6
[6,3,5,2,7,1,4]=>[1,3,3]=>5
[6,3,5,2,7,4,1]=>[1,3,2,1]=>11
[6,3,5,4,1,2,7]=>[1,3,3]=>5
[6,3,5,4,1,7,2]=>[1,3,1,2]=>10
[6,3,5,4,2,1,7]=>[1,3,1,2]=>10
[6,3,5,4,2,7,1]=>[1,3,1,2]=>10
[6,3,5,4,7,1,2]=>[1,3,3]=>5
[6,3,5,4,7,2,1]=>[1,3,2,1]=>11
[6,3,5,7,1,2,4]=>[1,6]=>1
[6,3,5,7,1,4,2]=>[1,5,1]=>7
[6,3,5,7,2,1,4]=>[1,4,2]=>6
[6,3,5,7,2,4,1]=>[1,5,1]=>7
[6,3,5,7,4,1,2]=>[1,4,2]=>6
[6,3,5,7,4,2,1]=>[1,4,1,1]=>12
[6,3,7,1,2,4,5]=>[1,6]=>1
[6,3,7,1,2,5,4]=>[1,5,1]=>7
[6,3,7,1,4,2,5]=>[1,4,2]=>6
[6,3,7,1,4,5,2]=>[1,5,1]=>7
[6,3,7,1,5,2,4]=>[1,4,2]=>6
[6,3,7,1,5,4,2]=>[1,4,1,1]=>12
[6,3,7,2,1,4,5]=>[1,3,3]=>5
[6,3,7,2,1,5,4]=>[1,3,2,1]=>11
[6,3,7,2,4,1,5]=>[1,4,2]=>6
[6,3,7,2,4,5,1]=>[1,5,1]=>7
[6,3,7,2,5,1,4]=>[1,4,2]=>6
[6,3,7,2,5,4,1]=>[1,4,1,1]=>12
[6,3,7,4,1,2,5]=>[1,3,3]=>5
[6,3,7,4,1,5,2]=>[1,3,2,1]=>11
[6,3,7,4,2,1,5]=>[1,3,1,2]=>10
[6,3,7,4,2,5,1]=>[1,3,2,1]=>11
[6,3,7,4,5,1,2]=>[1,4,2]=>6
[6,3,7,4,5,2,1]=>[1,4,1,1]=>12
[6,3,7,5,1,2,4]=>[1,2,4]=>4
[6,3,7,5,1,4,2]=>[1,2,3,1]=>10
[6,3,7,5,2,1,4]=>[1,2,2,2]=>9
[6,3,7,5,2,4,1]=>[1,2,3,1]=>10
[6,3,7,5,4,1,2]=>[1,2,2,2]=>9
[6,3,7,5,4,2,1]=>[1,2,2,1,1]=>15
[6,4,1,2,3,5,7]=>[1,6]=>1
[6,4,1,2,3,7,5]=>[1,4,2]=>6
[6,4,1,2,5,3,7]=>[1,4,2]=>6
[6,4,1,2,5,7,3]=>[1,4,2]=>6
[6,4,1,2,7,3,5]=>[1,3,3]=>5
[6,4,1,2,7,5,3]=>[1,3,2,1]=>11
[6,4,1,3,2,5,7]=>[1,3,3]=>5
[6,4,1,3,2,7,5]=>[1,3,1,2]=>10
[6,4,1,3,5,2,7]=>[1,4,2]=>6
[6,4,1,3,5,7,2]=>[1,4,2]=>6
[6,4,1,3,7,2,5]=>[1,3,3]=>5
[6,4,1,3,7,5,2]=>[1,3,2,1]=>11
[6,4,1,5,2,3,7]=>[1,2,4]=>4
[6,4,1,5,2,7,3]=>[1,2,2,2]=>9
[6,4,1,5,3,2,7]=>[1,2,2,2]=>9
[6,4,1,5,3,7,2]=>[1,2,2,2]=>9
[6,4,1,5,7,2,3]=>[1,2,4]=>4
[6,4,1,5,7,3,2]=>[1,2,3,1]=>10
[6,4,1,7,2,3,5]=>[1,2,4]=>4
[6,4,1,7,2,5,3]=>[1,2,3,1]=>10
[6,4,1,7,3,2,5]=>[1,2,2,2]=>9
[6,4,1,7,3,5,2]=>[1,2,3,1]=>10
[6,4,1,7,5,2,3]=>[1,2,2,2]=>9
[6,4,1,7,5,3,2]=>[1,2,2,1,1]=>15
[6,4,2,1,3,5,7]=>[1,2,4]=>4
[6,4,2,1,3,7,5]=>[1,2,2,2]=>9
[6,4,2,1,5,3,7]=>[1,2,2,2]=>9
[6,4,2,1,5,7,3]=>[1,2,2,2]=>9
[6,4,2,1,7,3,5]=>[1,2,1,3]=>8
[6,4,2,1,7,5,3]=>[1,2,1,2,1]=>14
[6,4,2,3,1,5,7]=>[1,3,3]=>5
[6,4,2,3,1,7,5]=>[1,3,1,2]=>10
[6,4,2,3,5,1,7]=>[1,4,2]=>6
[6,4,2,3,5,7,1]=>[1,4,2]=>6
[6,4,2,3,7,1,5]=>[1,3,3]=>5
[6,4,2,3,7,5,1]=>[1,3,2,1]=>11
[6,4,2,5,1,3,7]=>[1,2,4]=>4
[6,4,2,5,1,7,3]=>[1,2,2,2]=>9
[6,4,2,5,3,1,7]=>[1,2,2,2]=>9
[6,4,2,5,3,7,1]=>[1,2,2,2]=>9
[6,4,2,5,7,1,3]=>[1,2,4]=>4
[6,4,2,5,7,3,1]=>[1,2,3,1]=>10
[6,4,2,7,1,3,5]=>[1,2,4]=>4
[6,4,2,7,1,5,3]=>[1,2,3,1]=>10
[6,4,2,7,3,1,5]=>[1,2,2,2]=>9
[6,4,2,7,3,5,1]=>[1,2,3,1]=>10
[6,4,2,7,5,1,3]=>[1,2,2,2]=>9
[6,4,2,7,5,3,1]=>[1,2,2,1,1]=>15
[6,4,3,1,2,5,7]=>[1,2,4]=>4
[6,4,3,1,2,7,5]=>[1,2,2,2]=>9
[6,4,3,1,5,2,7]=>[1,2,2,2]=>9
[6,4,3,1,5,7,2]=>[1,2,2,2]=>9
[6,4,3,1,7,2,5]=>[1,2,1,3]=>8
[6,4,3,1,7,5,2]=>[1,2,1,2,1]=>14
[6,4,3,2,1,5,7]=>[1,2,1,3]=>8
[6,4,3,2,1,7,5]=>[1,2,1,1,2]=>13
[6,4,3,2,5,1,7]=>[1,2,2,2]=>9
[6,4,3,2,5,7,1]=>[1,2,2,2]=>9
[6,4,3,2,7,1,5]=>[1,2,1,3]=>8
[6,4,3,2,7,5,1]=>[1,2,1,2,1]=>14
[6,4,3,5,1,2,7]=>[1,2,4]=>4
[6,4,3,5,1,7,2]=>[1,2,2,2]=>9
[6,4,3,5,2,1,7]=>[1,2,2,2]=>9
[6,4,3,5,2,7,1]=>[1,2,2,2]=>9
[6,4,3,5,7,1,2]=>[1,2,4]=>4
[6,4,3,5,7,2,1]=>[1,2,3,1]=>10
[6,4,3,7,1,2,5]=>[1,2,4]=>4
[6,4,3,7,1,5,2]=>[1,2,3,1]=>10
[6,4,3,7,2,1,5]=>[1,2,2,2]=>9
[6,4,3,7,2,5,1]=>[1,2,3,1]=>10
[6,4,3,7,5,1,2]=>[1,2,2,2]=>9
[6,4,3,7,5,2,1]=>[1,2,2,1,1]=>15
[6,4,5,1,2,3,7]=>[1,6]=>1
[6,4,5,1,2,7,3]=>[1,4,2]=>6
[6,4,5,1,3,2,7]=>[1,4,2]=>6
[6,4,5,1,3,7,2]=>[1,4,2]=>6
[6,4,5,1,7,2,3]=>[1,3,3]=>5
[6,4,5,1,7,3,2]=>[1,3,2,1]=>11
[6,4,5,2,1,3,7]=>[1,3,3]=>5
[6,4,5,2,1,7,3]=>[1,3,1,2]=>10
[6,4,5,2,3,1,7]=>[1,4,2]=>6
[6,4,5,2,3,7,1]=>[1,4,2]=>6
[6,4,5,2,7,1,3]=>[1,3,3]=>5
[6,4,5,2,7,3,1]=>[1,3,2,1]=>11
[6,4,5,3,1,2,7]=>[1,3,3]=>5
[6,4,5,3,1,7,2]=>[1,3,1,2]=>10
[6,4,5,3,2,1,7]=>[1,3,1,2]=>10
[6,4,5,3,2,7,1]=>[1,3,1,2]=>10
[6,4,5,3,7,1,2]=>[1,3,3]=>5
[6,4,5,3,7,2,1]=>[1,3,2,1]=>11
[6,4,5,7,1,2,3]=>[1,6]=>1
[6,4,5,7,1,3,2]=>[1,5,1]=>7
[6,4,5,7,2,1,3]=>[1,4,2]=>6
[6,4,5,7,2,3,1]=>[1,5,1]=>7
[6,4,5,7,3,1,2]=>[1,4,2]=>6
[6,4,5,7,3,2,1]=>[1,4,1,1]=>12
[6,4,7,1,2,3,5]=>[1,6]=>1
[6,4,7,1,2,5,3]=>[1,5,1]=>7
[6,4,7,1,3,2,5]=>[1,4,2]=>6
[6,4,7,1,3,5,2]=>[1,5,1]=>7
[6,4,7,1,5,2,3]=>[1,4,2]=>6
[6,4,7,1,5,3,2]=>[1,4,1,1]=>12
[6,4,7,2,1,3,5]=>[1,3,3]=>5
[6,4,7,2,1,5,3]=>[1,3,2,1]=>11
[6,4,7,2,3,1,5]=>[1,4,2]=>6
[6,4,7,2,3,5,1]=>[1,5,1]=>7
[6,4,7,2,5,1,3]=>[1,4,2]=>6
[6,4,7,2,5,3,1]=>[1,4,1,1]=>12
[6,4,7,3,1,2,5]=>[1,3,3]=>5
[6,4,7,3,1,5,2]=>[1,3,2,1]=>11
[6,4,7,3,2,1,5]=>[1,3,1,2]=>10
[6,4,7,3,2,5,1]=>[1,3,2,1]=>11
[6,4,7,3,5,1,2]=>[1,4,2]=>6
[6,4,7,3,5,2,1]=>[1,4,1,1]=>12
[6,4,7,5,1,2,3]=>[1,2,4]=>4
[6,4,7,5,1,3,2]=>[1,2,3,1]=>10
[6,4,7,5,2,1,3]=>[1,2,2,2]=>9
[6,4,7,5,2,3,1]=>[1,2,3,1]=>10
[6,4,7,5,3,1,2]=>[1,2,2,2]=>9
[6,4,7,5,3,2,1]=>[1,2,2,1,1]=>15
[6,5,1,2,3,4,7]=>[1,6]=>1
[6,5,1,2,3,7,4]=>[1,4,2]=>6
[6,5,1,2,4,3,7]=>[1,4,2]=>6
[6,5,1,2,4,7,3]=>[1,4,2]=>6
[6,5,1,2,7,3,4]=>[1,3,3]=>5
[6,5,1,2,7,4,3]=>[1,3,2,1]=>11
[6,5,1,3,2,4,7]=>[1,3,3]=>5
[6,5,1,3,2,7,4]=>[1,3,1,2]=>10
[6,5,1,3,4,2,7]=>[1,4,2]=>6
[6,5,1,3,4,7,2]=>[1,4,2]=>6
[6,5,1,3,7,2,4]=>[1,3,3]=>5
[6,5,1,3,7,4,2]=>[1,3,2,1]=>11
[6,5,1,4,2,3,7]=>[1,3,3]=>5
[6,5,1,4,2,7,3]=>[1,3,1,2]=>10
[6,5,1,4,3,2,7]=>[1,3,1,2]=>10
[6,5,1,4,3,7,2]=>[1,3,1,2]=>10
[6,5,1,4,7,2,3]=>[1,3,3]=>5
[6,5,1,4,7,3,2]=>[1,3,2,1]=>11
[6,5,1,7,2,3,4]=>[1,2,4]=>4
[6,5,1,7,2,4,3]=>[1,2,3,1]=>10
[6,5,1,7,3,2,4]=>[1,2,2,2]=>9
[6,5,1,7,3,4,2]=>[1,2,3,1]=>10
[6,5,1,7,4,2,3]=>[1,2,2,2]=>9
[6,5,1,7,4,3,2]=>[1,2,2,1,1]=>15
[6,5,2,1,3,4,7]=>[1,2,4]=>4
[6,5,2,1,3,7,4]=>[1,2,2,2]=>9
[6,5,2,1,4,3,7]=>[1,2,2,2]=>9
[6,5,2,1,4,7,3]=>[1,2,2,2]=>9
[6,5,2,1,7,3,4]=>[1,2,1,3]=>8
[6,5,2,1,7,4,3]=>[1,2,1,2,1]=>14
[6,5,2,3,1,4,7]=>[1,3,3]=>5
[6,5,2,3,1,7,4]=>[1,3,1,2]=>10
[6,5,2,3,4,1,7]=>[1,4,2]=>6
[6,5,2,3,4,7,1]=>[1,4,2]=>6
[6,5,2,3,7,1,4]=>[1,3,3]=>5
[6,5,2,3,7,4,1]=>[1,3,2,1]=>11
[6,5,2,4,1,3,7]=>[1,3,3]=>5
[6,5,2,4,1,7,3]=>[1,3,1,2]=>10
[6,5,2,4,3,1,7]=>[1,3,1,2]=>10
[6,5,2,4,3,7,1]=>[1,3,1,2]=>10
[6,5,2,4,7,1,3]=>[1,3,3]=>5
[6,5,2,4,7,3,1]=>[1,3,2,1]=>11
[6,5,2,7,1,3,4]=>[1,2,4]=>4
[6,5,2,7,1,4,3]=>[1,2,3,1]=>10
[6,5,2,7,3,1,4]=>[1,2,2,2]=>9
[6,5,2,7,3,4,1]=>[1,2,3,1]=>10
[6,5,2,7,4,1,3]=>[1,2,2,2]=>9
[6,5,2,7,4,3,1]=>[1,2,2,1,1]=>15
[6,5,3,1,2,4,7]=>[1,2,4]=>4
[6,5,3,1,2,7,4]=>[1,2,2,2]=>9
[6,5,3,1,4,2,7]=>[1,2,2,2]=>9
[6,5,3,1,4,7,2]=>[1,2,2,2]=>9
[6,5,3,1,7,2,4]=>[1,2,1,3]=>8
[6,5,3,1,7,4,2]=>[1,2,1,2,1]=>14
[6,5,3,2,1,4,7]=>[1,2,1,3]=>8
[6,5,3,2,1,7,4]=>[1,2,1,1,2]=>13
[6,5,3,2,4,1,7]=>[1,2,2,2]=>9
[6,5,3,2,4,7,1]=>[1,2,2,2]=>9
[6,5,3,2,7,1,4]=>[1,2,1,3]=>8
[6,5,3,2,7,4,1]=>[1,2,1,2,1]=>14
[6,5,3,4,1,2,7]=>[1,3,3]=>5
[6,5,3,4,1,7,2]=>[1,3,1,2]=>10
[6,5,3,4,2,1,7]=>[1,3,1,2]=>10
[6,5,3,4,2,7,1]=>[1,3,1,2]=>10
[6,5,3,4,7,1,2]=>[1,3,3]=>5
[6,5,3,4,7,2,1]=>[1,3,2,1]=>11
[6,5,3,7,1,2,4]=>[1,2,4]=>4
[6,5,3,7,1,4,2]=>[1,2,3,1]=>10
[6,5,3,7,2,1,4]=>[1,2,2,2]=>9
[6,5,3,7,2,4,1]=>[1,2,3,1]=>10
[6,5,3,7,4,1,2]=>[1,2,2,2]=>9
[6,5,3,7,4,2,1]=>[1,2,2,1,1]=>15
[6,5,4,1,2,3,7]=>[1,1,5]=>3
[6,5,4,1,2,7,3]=>[1,1,3,2]=>8
[6,5,4,1,3,2,7]=>[1,1,3,2]=>8
[6,5,4,1,3,7,2]=>[1,1,3,2]=>8
[6,5,4,1,7,2,3]=>[1,1,2,3]=>7
[6,5,4,1,7,3,2]=>[1,1,2,2,1]=>13
[6,5,4,2,1,3,7]=>[1,1,2,3]=>7
[6,5,4,2,1,7,3]=>[1,1,2,1,2]=>12
[6,5,4,2,3,1,7]=>[1,1,3,2]=>8
[6,5,4,2,3,7,1]=>[1,1,3,2]=>8
[6,5,4,2,7,1,3]=>[1,1,2,3]=>7
[6,5,4,2,7,3,1]=>[1,1,2,2,1]=>13
[6,5,4,3,1,2,7]=>[1,1,2,3]=>7
[6,5,4,3,1,7,2]=>[1,1,2,1,2]=>12
[6,5,4,3,2,1,7]=>[1,1,2,1,2]=>12
[6,5,4,3,2,7,1]=>[1,1,2,1,2]=>12
[6,5,4,3,7,1,2]=>[1,1,2,3]=>7
[6,5,4,3,7,2,1]=>[1,1,2,2,1]=>13
[6,5,4,7,1,2,3]=>[1,1,5]=>3
[6,5,4,7,1,3,2]=>[1,1,4,1]=>9
[6,5,4,7,2,1,3]=>[1,1,3,2]=>8
[6,5,4,7,2,3,1]=>[1,1,4,1]=>9
[6,5,4,7,3,1,2]=>[1,1,3,2]=>8
[6,5,4,7,3,2,1]=>[1,1,3,1,1]=>14
[6,5,7,1,2,3,4]=>[1,6]=>1
[6,5,7,1,2,4,3]=>[1,5,1]=>7
[6,5,7,1,3,2,4]=>[1,4,2]=>6
[6,5,7,1,3,4,2]=>[1,5,1]=>7
[6,5,7,1,4,2,3]=>[1,4,2]=>6
[6,5,7,1,4,3,2]=>[1,4,1,1]=>12
[6,5,7,2,1,3,4]=>[1,3,3]=>5
[6,5,7,2,1,4,3]=>[1,3,2,1]=>11
[6,5,7,2,3,1,4]=>[1,4,2]=>6
[6,5,7,2,3,4,1]=>[1,5,1]=>7
[6,5,7,2,4,1,3]=>[1,4,2]=>6
[6,5,7,2,4,3,1]=>[1,4,1,1]=>12
[6,5,7,3,1,2,4]=>[1,3,3]=>5
[6,5,7,3,1,4,2]=>[1,3,2,1]=>11
[6,5,7,3,2,1,4]=>[1,3,1,2]=>10
[6,5,7,3,2,4,1]=>[1,3,2,1]=>11
[6,5,7,3,4,1,2]=>[1,4,2]=>6
[6,5,7,3,4,2,1]=>[1,4,1,1]=>12
[6,5,7,4,1,2,3]=>[1,3,3]=>5
[6,5,7,4,1,3,2]=>[1,3,2,1]=>11
[6,5,7,4,2,1,3]=>[1,3,1,2]=>10
[6,5,7,4,2,3,1]=>[1,3,2,1]=>11
[6,5,7,4,3,1,2]=>[1,3,1,2]=>10
[6,5,7,4,3,2,1]=>[1,3,1,1,1]=>16
[6,7,1,2,3,4,5]=>[7]=>0
[6,7,1,2,3,5,4]=>[6,1]=>6
[6,7,1,2,4,3,5]=>[5,2]=>5
[6,7,1,2,4,5,3]=>[6,1]=>6
[6,7,1,2,5,3,4]=>[5,2]=>5
[6,7,1,2,5,4,3]=>[5,1,1]=>11
[6,7,1,3,2,4,5]=>[4,3]=>4
[6,7,1,3,2,5,4]=>[4,2,1]=>10
[6,7,1,3,4,2,5]=>[5,2]=>5
[6,7,1,3,4,5,2]=>[6,1]=>6
[6,7,1,3,5,2,4]=>[5,2]=>5
[6,7,1,3,5,4,2]=>[5,1,1]=>11
[6,7,1,4,2,3,5]=>[4,3]=>4
[6,7,1,4,2,5,3]=>[4,2,1]=>10
[6,7,1,4,3,2,5]=>[4,1,2]=>9
[6,7,1,4,3,5,2]=>[4,2,1]=>10
[6,7,1,4,5,2,3]=>[5,2]=>5
[6,7,1,4,5,3,2]=>[5,1,1]=>11
[6,7,1,5,2,3,4]=>[3,4]=>3
[6,7,1,5,2,4,3]=>[3,3,1]=>9
[6,7,1,5,3,2,4]=>[3,2,2]=>8
[6,7,1,5,3,4,2]=>[3,3,1]=>9
[6,7,1,5,4,2,3]=>[3,2,2]=>8
[6,7,1,5,4,3,2]=>[3,2,1,1]=>14
[6,7,2,1,3,4,5]=>[3,4]=>3
[6,7,2,1,3,5,4]=>[3,3,1]=>9
[6,7,2,1,4,3,5]=>[3,2,2]=>8
[6,7,2,1,4,5,3]=>[3,3,1]=>9
[6,7,2,1,5,3,4]=>[3,2,2]=>8
[6,7,2,1,5,4,3]=>[3,2,1,1]=>14
[6,7,2,3,1,4,5]=>[4,3]=>4
[6,7,2,3,1,5,4]=>[4,2,1]=>10
[6,7,2,3,4,1,5]=>[5,2]=>5
[6,7,2,3,4,5,1]=>[6,1]=>6
[6,7,2,3,5,1,4]=>[5,2]=>5
[6,7,2,3,5,4,1]=>[5,1,1]=>11
[6,7,2,4,1,3,5]=>[4,3]=>4
[6,7,2,4,1,5,3]=>[4,2,1]=>10
[6,7,2,4,3,1,5]=>[4,1,2]=>9
[6,7,2,4,3,5,1]=>[4,2,1]=>10
[6,7,2,4,5,1,3]=>[5,2]=>5
[6,7,2,4,5,3,1]=>[5,1,1]=>11
[6,7,2,5,1,3,4]=>[3,4]=>3
[6,7,2,5,1,4,3]=>[3,3,1]=>9
[6,7,2,5,3,1,4]=>[3,2,2]=>8
[6,7,2,5,3,4,1]=>[3,3,1]=>9
[6,7,2,5,4,1,3]=>[3,2,2]=>8
[6,7,2,5,4,3,1]=>[3,2,1,1]=>14
[6,7,3,1,2,4,5]=>[3,4]=>3
[6,7,3,1,2,5,4]=>[3,3,1]=>9
[6,7,3,1,4,2,5]=>[3,2,2]=>8
[6,7,3,1,4,5,2]=>[3,3,1]=>9
[6,7,3,1,5,2,4]=>[3,2,2]=>8
[6,7,3,1,5,4,2]=>[3,2,1,1]=>14
[6,7,3,2,1,4,5]=>[3,1,3]=>7
[6,7,3,2,1,5,4]=>[3,1,2,1]=>13
[6,7,3,2,4,1,5]=>[3,2,2]=>8
[6,7,3,2,4,5,1]=>[3,3,1]=>9
[6,7,3,2,5,1,4]=>[3,2,2]=>8
[6,7,3,2,5,4,1]=>[3,2,1,1]=>14
[6,7,3,4,1,2,5]=>[4,3]=>4
[6,7,3,4,1,5,2]=>[4,2,1]=>10
[6,7,3,4,2,1,5]=>[4,1,2]=>9
[6,7,3,4,2,5,1]=>[4,2,1]=>10
[6,7,3,4,5,1,2]=>[5,2]=>5
[6,7,3,4,5,2,1]=>[5,1,1]=>11
[6,7,3,5,1,2,4]=>[3,4]=>3
[6,7,3,5,1,4,2]=>[3,3,1]=>9
[6,7,3,5,2,1,4]=>[3,2,2]=>8
[6,7,3,5,2,4,1]=>[3,3,1]=>9
[6,7,3,5,4,1,2]=>[3,2,2]=>8
[6,7,3,5,4,2,1]=>[3,2,1,1]=>14
[6,7,4,1,2,3,5]=>[2,5]=>2
[6,7,4,1,2,5,3]=>[2,4,1]=>8
[6,7,4,1,3,2,5]=>[2,3,2]=>7
[6,7,4,1,3,5,2]=>[2,4,1]=>8
[6,7,4,1,5,2,3]=>[2,3,2]=>7
[6,7,4,1,5,3,2]=>[2,3,1,1]=>13
[6,7,4,2,1,3,5]=>[2,2,3]=>6
[6,7,4,2,1,5,3]=>[2,2,2,1]=>12
[6,7,4,2,3,1,5]=>[2,3,2]=>7
[6,7,4,2,3,5,1]=>[2,4,1]=>8
[6,7,4,2,5,1,3]=>[2,3,2]=>7
[6,7,4,2,5,3,1]=>[2,3,1,1]=>13
[6,7,4,3,1,2,5]=>[2,2,3]=>6
[6,7,4,3,1,5,2]=>[2,2,2,1]=>12
[6,7,4,3,2,1,5]=>[2,2,1,2]=>11
[6,7,4,3,2,5,1]=>[2,2,2,1]=>12
[6,7,4,3,5,1,2]=>[2,3,2]=>7
[6,7,4,3,5,2,1]=>[2,3,1,1]=>13
[6,7,4,5,1,2,3]=>[2,5]=>2
[6,7,4,5,1,3,2]=>[2,4,1]=>8
[6,7,4,5,2,1,3]=>[2,3,2]=>7
[6,7,4,5,2,3,1]=>[2,4,1]=>8
[6,7,4,5,3,1,2]=>[2,3,2]=>7
[6,7,4,5,3,2,1]=>[2,3,1,1]=>13
[6,7,5,1,2,3,4]=>[2,5]=>2
[6,7,5,1,2,4,3]=>[2,4,1]=>8
[6,7,5,1,3,2,4]=>[2,3,2]=>7
[6,7,5,1,3,4,2]=>[2,4,1]=>8
[6,7,5,1,4,2,3]=>[2,3,2]=>7
[6,7,5,1,4,3,2]=>[2,3,1,1]=>13
[6,7,5,2,1,3,4]=>[2,2,3]=>6
[6,7,5,2,1,4,3]=>[2,2,2,1]=>12
[6,7,5,2,3,1,4]=>[2,3,2]=>7
[6,7,5,2,3,4,1]=>[2,4,1]=>8
[6,7,5,2,4,1,3]=>[2,3,2]=>7
[6,7,5,2,4,3,1]=>[2,3,1,1]=>13
[6,7,5,3,1,2,4]=>[2,2,3]=>6
[6,7,5,3,1,4,2]=>[2,2,2,1]=>12
[6,7,5,3,2,1,4]=>[2,2,1,2]=>11
[6,7,5,3,2,4,1]=>[2,2,2,1]=>12
[6,7,5,3,4,1,2]=>[2,3,2]=>7
[6,7,5,3,4,2,1]=>[2,3,1,1]=>13
[6,7,5,4,1,2,3]=>[2,2,3]=>6
[6,7,5,4,1,3,2]=>[2,2,2,1]=>12
[6,7,5,4,2,1,3]=>[2,2,1,2]=>11
[6,7,5,4,2,3,1]=>[2,2,2,1]=>12
[6,7,5,4,3,1,2]=>[2,2,1,2]=>11
[6,7,5,4,3,2,1]=>[2,2,1,1,1]=>17
[7,1,2,3,4,5,6]=>[7]=>0
[7,1,2,3,4,6,5]=>[6,1]=>6
[7,1,2,3,5,4,6]=>[5,2]=>5
[7,1,2,3,5,6,4]=>[6,1]=>6
[7,1,2,3,6,4,5]=>[4,3]=>4
[7,1,2,3,6,5,4]=>[4,2,1]=>10
[7,1,2,4,3,5,6]=>[4,3]=>4
[7,1,2,4,3,6,5]=>[4,2,1]=>10
[7,1,2,4,5,3,6]=>[5,2]=>5
[7,1,2,4,5,6,3]=>[6,1]=>6
[7,1,2,4,6,3,5]=>[4,3]=>4
[7,1,2,4,6,5,3]=>[4,2,1]=>10
[7,1,2,5,3,4,6]=>[3,4]=>3
[7,1,2,5,3,6,4]=>[3,3,1]=>9
[7,1,2,5,4,3,6]=>[3,2,2]=>8
[7,1,2,5,4,6,3]=>[3,3,1]=>9
[7,1,2,5,6,3,4]=>[3,4]=>3
[7,1,2,5,6,4,3]=>[3,3,1]=>9
[7,1,2,6,3,4,5]=>[3,4]=>3
[7,1,2,6,3,5,4]=>[3,3,1]=>9
[7,1,2,6,4,3,5]=>[3,2,2]=>8
[7,1,2,6,4,5,3]=>[3,3,1]=>9
[7,1,2,6,5,3,4]=>[3,2,2]=>8
[7,1,2,6,5,4,3]=>[3,2,1,1]=>14
[7,1,3,2,4,5,6]=>[3,4]=>3
[7,1,3,2,4,6,5]=>[3,3,1]=>9
[7,1,3,2,5,4,6]=>[3,2,2]=>8
[7,1,3,2,5,6,4]=>[3,3,1]=>9
[7,1,3,2,6,4,5]=>[3,1,3]=>7
[7,1,3,2,6,5,4]=>[3,1,2,1]=>13
[7,1,3,4,2,5,6]=>[4,3]=>4
[7,1,3,4,2,6,5]=>[4,2,1]=>10
[7,1,3,4,5,2,6]=>[5,2]=>5
[7,1,3,4,5,6,2]=>[6,1]=>6
[7,1,3,4,6,2,5]=>[4,3]=>4
[7,1,3,4,6,5,2]=>[4,2,1]=>10
[7,1,3,5,2,4,6]=>[3,4]=>3
[7,1,3,5,2,6,4]=>[3,3,1]=>9
[7,1,3,5,4,2,6]=>[3,2,2]=>8
[7,1,3,5,4,6,2]=>[3,3,1]=>9
[7,1,3,5,6,2,4]=>[3,4]=>3
[7,1,3,5,6,4,2]=>[3,3,1]=>9
[7,1,3,6,2,4,5]=>[3,4]=>3
[7,1,3,6,2,5,4]=>[3,3,1]=>9
[7,1,3,6,4,2,5]=>[3,2,2]=>8
[7,1,3,6,4,5,2]=>[3,3,1]=>9
[7,1,3,6,5,2,4]=>[3,2,2]=>8
[7,1,3,6,5,4,2]=>[3,2,1,1]=>14
[7,1,4,2,3,5,6]=>[2,5]=>2
[7,1,4,2,3,6,5]=>[2,4,1]=>8
[7,1,4,2,5,3,6]=>[2,3,2]=>7
[7,1,4,2,5,6,3]=>[2,4,1]=>8
[7,1,4,2,6,3,5]=>[2,2,3]=>6
[7,1,4,2,6,5,3]=>[2,2,2,1]=>12
[7,1,4,3,2,5,6]=>[2,2,3]=>6
[7,1,4,3,2,6,5]=>[2,2,2,1]=>12
[7,1,4,3,5,2,6]=>[2,3,2]=>7
[7,1,4,3,5,6,2]=>[2,4,1]=>8
[7,1,4,3,6,2,5]=>[2,2,3]=>6
[7,1,4,3,6,5,2]=>[2,2,2,1]=>12
[7,1,4,5,2,3,6]=>[2,5]=>2
[7,1,4,5,2,6,3]=>[2,4,1]=>8
[7,1,4,5,3,2,6]=>[2,3,2]=>7
[7,1,4,5,3,6,2]=>[2,4,1]=>8
[7,1,4,5,6,2,3]=>[2,5]=>2
[7,1,4,5,6,3,2]=>[2,4,1]=>8
[7,1,4,6,2,3,5]=>[2,5]=>2
[7,1,4,6,2,5,3]=>[2,4,1]=>8
[7,1,4,6,3,2,5]=>[2,3,2]=>7
[7,1,4,6,3,5,2]=>[2,4,1]=>8
[7,1,4,6,5,2,3]=>[2,3,2]=>7
[7,1,4,6,5,3,2]=>[2,3,1,1]=>13
[7,1,5,2,3,4,6]=>[2,5]=>2
[7,1,5,2,3,6,4]=>[2,4,1]=>8
[7,1,5,2,4,3,6]=>[2,3,2]=>7
[7,1,5,2,4,6,3]=>[2,4,1]=>8
[7,1,5,2,6,3,4]=>[2,2,3]=>6
[7,1,5,2,6,4,3]=>[2,2,2,1]=>12
[7,1,5,3,2,4,6]=>[2,2,3]=>6
[7,1,5,3,2,6,4]=>[2,2,2,1]=>12
[7,1,5,3,4,2,6]=>[2,3,2]=>7
[7,1,5,3,4,6,2]=>[2,4,1]=>8
[7,1,5,3,6,2,4]=>[2,2,3]=>6
[7,1,5,3,6,4,2]=>[2,2,2,1]=>12
[7,1,5,4,2,3,6]=>[2,2,3]=>6
[7,1,5,4,2,6,3]=>[2,2,2,1]=>12
[7,1,5,4,3,2,6]=>[2,2,1,2]=>11
[7,1,5,4,3,6,2]=>[2,2,2,1]=>12
[7,1,5,4,6,2,3]=>[2,2,3]=>6
[7,1,5,4,6,3,2]=>[2,2,2,1]=>12
[7,1,5,6,2,3,4]=>[2,5]=>2
[7,1,5,6,2,4,3]=>[2,4,1]=>8
[7,1,5,6,3,2,4]=>[2,3,2]=>7
[7,1,5,6,3,4,2]=>[2,4,1]=>8
[7,1,5,6,4,2,3]=>[2,3,2]=>7
[7,1,5,6,4,3,2]=>[2,3,1,1]=>13
[7,1,6,2,3,4,5]=>[2,5]=>2
[7,1,6,2,3,5,4]=>[2,4,1]=>8
[7,1,6,2,4,3,5]=>[2,3,2]=>7
[7,1,6,2,4,5,3]=>[2,4,1]=>8
[7,1,6,2,5,3,4]=>[2,3,2]=>7
[7,1,6,2,5,4,3]=>[2,3,1,1]=>13
[7,1,6,3,2,4,5]=>[2,2,3]=>6
[7,1,6,3,2,5,4]=>[2,2,2,1]=>12
[7,1,6,3,4,2,5]=>[2,3,2]=>7
[7,1,6,3,4,5,2]=>[2,4,1]=>8
[7,1,6,3,5,2,4]=>[2,3,2]=>7
[7,1,6,3,5,4,2]=>[2,3,1,1]=>13
[7,1,6,4,2,3,5]=>[2,2,3]=>6
[7,1,6,4,2,5,3]=>[2,2,2,1]=>12
[7,1,6,4,3,2,5]=>[2,2,1,2]=>11
[7,1,6,4,3,5,2]=>[2,2,2,1]=>12
[7,1,6,4,5,2,3]=>[2,3,2]=>7
[7,1,6,4,5,3,2]=>[2,3,1,1]=>13
[7,1,6,5,2,3,4]=>[2,1,4]=>5
[7,1,6,5,2,4,3]=>[2,1,3,1]=>11
[7,1,6,5,3,2,4]=>[2,1,2,2]=>10
[7,1,6,5,3,4,2]=>[2,1,3,1]=>11
[7,1,6,5,4,2,3]=>[2,1,2,2]=>10
[7,1,6,5,4,3,2]=>[2,1,2,1,1]=>16
[7,2,1,3,4,5,6]=>[2,5]=>2
[7,2,1,3,4,6,5]=>[2,4,1]=>8
[7,2,1,3,5,4,6]=>[2,3,2]=>7
[7,2,1,3,5,6,4]=>[2,4,1]=>8
[7,2,1,3,6,4,5]=>[2,2,3]=>6
[7,2,1,3,6,5,4]=>[2,2,2,1]=>12
[7,2,1,4,3,5,6]=>[2,2,3]=>6
[7,2,1,4,3,6,5]=>[2,2,2,1]=>12
[7,2,1,4,5,3,6]=>[2,3,2]=>7
[7,2,1,4,5,6,3]=>[2,4,1]=>8
[7,2,1,4,6,3,5]=>[2,2,3]=>6
[7,2,1,4,6,5,3]=>[2,2,2,1]=>12
[7,2,1,5,3,4,6]=>[2,1,4]=>5
[7,2,1,5,3,6,4]=>[2,1,3,1]=>11
[7,2,1,5,4,3,6]=>[2,1,2,2]=>10
[7,2,1,5,4,6,3]=>[2,1,3,1]=>11
[7,2,1,5,6,3,4]=>[2,1,4]=>5
[7,2,1,5,6,4,3]=>[2,1,3,1]=>11
[7,2,1,6,3,4,5]=>[2,1,4]=>5
[7,2,1,6,3,5,4]=>[2,1,3,1]=>11
[7,2,1,6,4,3,5]=>[2,1,2,2]=>10
[7,2,1,6,4,5,3]=>[2,1,3,1]=>11
[7,2,1,6,5,3,4]=>[2,1,2,2]=>10
[7,2,1,6,5,4,3]=>[2,1,2,1,1]=>16
[7,2,3,1,4,5,6]=>[3,4]=>3
[7,2,3,1,4,6,5]=>[3,3,1]=>9
[7,2,3,1,5,4,6]=>[3,2,2]=>8
[7,2,3,1,5,6,4]=>[3,3,1]=>9
[7,2,3,1,6,4,5]=>[3,1,3]=>7
[7,2,3,1,6,5,4]=>[3,1,2,1]=>13
[7,2,3,4,1,5,6]=>[4,3]=>4
[7,2,3,4,1,6,5]=>[4,2,1]=>10
[7,2,3,4,5,1,6]=>[5,2]=>5
[7,2,3,4,5,6,1]=>[6,1]=>6
[7,2,3,4,6,1,5]=>[4,3]=>4
[7,2,3,4,6,5,1]=>[4,2,1]=>10
[7,2,3,5,1,4,6]=>[3,4]=>3
[7,2,3,5,1,6,4]=>[3,3,1]=>9
[7,2,3,5,4,1,6]=>[3,2,2]=>8
[7,2,3,5,4,6,1]=>[3,3,1]=>9
[7,2,3,5,6,1,4]=>[3,4]=>3
[7,2,3,5,6,4,1]=>[3,3,1]=>9
[7,2,3,6,1,4,5]=>[3,4]=>3
[7,2,3,6,1,5,4]=>[3,3,1]=>9
[7,2,3,6,4,1,5]=>[3,2,2]=>8
[7,2,3,6,4,5,1]=>[3,3,1]=>9
[7,2,3,6,5,1,4]=>[3,2,2]=>8
[7,2,3,6,5,4,1]=>[3,2,1,1]=>14
[7,2,4,1,3,5,6]=>[2,5]=>2
[7,2,4,1,3,6,5]=>[2,4,1]=>8
[7,2,4,1,5,3,6]=>[2,3,2]=>7
[7,2,4,1,5,6,3]=>[2,4,1]=>8
[7,2,4,1,6,3,5]=>[2,2,3]=>6
[7,2,4,1,6,5,3]=>[2,2,2,1]=>12
[7,2,4,3,1,5,6]=>[2,2,3]=>6
[7,2,4,3,1,6,5]=>[2,2,2,1]=>12
[7,2,4,3,5,1,6]=>[2,3,2]=>7
[7,2,4,3,5,6,1]=>[2,4,1]=>8
[7,2,4,3,6,1,5]=>[2,2,3]=>6
[7,2,4,3,6,5,1]=>[2,2,2,1]=>12
[7,2,4,5,1,3,6]=>[2,5]=>2
[7,2,4,5,1,6,3]=>[2,4,1]=>8
[7,2,4,5,3,1,6]=>[2,3,2]=>7
[7,2,4,5,3,6,1]=>[2,4,1]=>8
[7,2,4,5,6,1,3]=>[2,5]=>2
[7,2,4,5,6,3,1]=>[2,4,1]=>8
[7,2,4,6,1,3,5]=>[2,5]=>2
[7,2,4,6,1,5,3]=>[2,4,1]=>8
[7,2,4,6,3,1,5]=>[2,3,2]=>7
[7,2,4,6,3,5,1]=>[2,4,1]=>8
[7,2,4,6,5,1,3]=>[2,3,2]=>7
[7,2,4,6,5,3,1]=>[2,3,1,1]=>13
[7,2,5,1,3,4,6]=>[2,5]=>2
[7,2,5,1,3,6,4]=>[2,4,1]=>8
[7,2,5,1,4,3,6]=>[2,3,2]=>7
[7,2,5,1,4,6,3]=>[2,4,1]=>8
[7,2,5,1,6,3,4]=>[2,2,3]=>6
[7,2,5,1,6,4,3]=>[2,2,2,1]=>12
[7,2,5,3,1,4,6]=>[2,2,3]=>6
[7,2,5,3,1,6,4]=>[2,2,2,1]=>12
[7,2,5,3,4,1,6]=>[2,3,2]=>7
[7,2,5,3,4,6,1]=>[2,4,1]=>8
[7,2,5,3,6,1,4]=>[2,2,3]=>6
[7,2,5,3,6,4,1]=>[2,2,2,1]=>12
[7,2,5,4,1,3,6]=>[2,2,3]=>6
[7,2,5,4,1,6,3]=>[2,2,2,1]=>12
[7,2,5,4,3,1,6]=>[2,2,1,2]=>11
[7,2,5,4,3,6,1]=>[2,2,2,1]=>12
[7,2,5,4,6,1,3]=>[2,2,3]=>6
[7,2,5,4,6,3,1]=>[2,2,2,1]=>12
[7,2,5,6,1,3,4]=>[2,5]=>2
[7,2,5,6,1,4,3]=>[2,4,1]=>8
[7,2,5,6,3,1,4]=>[2,3,2]=>7
[7,2,5,6,3,4,1]=>[2,4,1]=>8
[7,2,5,6,4,1,3]=>[2,3,2]=>7
[7,2,5,6,4,3,1]=>[2,3,1,1]=>13
[7,2,6,1,3,4,5]=>[2,5]=>2
[7,2,6,1,3,5,4]=>[2,4,1]=>8
[7,2,6,1,4,3,5]=>[2,3,2]=>7
[7,2,6,1,4,5,3]=>[2,4,1]=>8
[7,2,6,1,5,3,4]=>[2,3,2]=>7
[7,2,6,1,5,4,3]=>[2,3,1,1]=>13
[7,2,6,3,1,4,5]=>[2,2,3]=>6
[7,2,6,3,1,5,4]=>[2,2,2,1]=>12
[7,2,6,3,4,1,5]=>[2,3,2]=>7
[7,2,6,3,4,5,1]=>[2,4,1]=>8
[7,2,6,3,5,1,4]=>[2,3,2]=>7
[7,2,6,3,5,4,1]=>[2,3,1,1]=>13
[7,2,6,4,1,3,5]=>[2,2,3]=>6
[7,2,6,4,1,5,3]=>[2,2,2,1]=>12
[7,2,6,4,3,1,5]=>[2,2,1,2]=>11
[7,2,6,4,3,5,1]=>[2,2,2,1]=>12
[7,2,6,4,5,1,3]=>[2,3,2]=>7
[7,2,6,4,5,3,1]=>[2,3,1,1]=>13
[7,2,6,5,1,3,4]=>[2,1,4]=>5
[7,2,6,5,1,4,3]=>[2,1,3,1]=>11
[7,2,6,5,3,1,4]=>[2,1,2,2]=>10
[7,2,6,5,3,4,1]=>[2,1,3,1]=>11
[7,2,6,5,4,1,3]=>[2,1,2,2]=>10
[7,2,6,5,4,3,1]=>[2,1,2,1,1]=>16
[7,3,1,2,4,5,6]=>[1,6]=>1
[7,3,1,2,4,6,5]=>[1,5,1]=>7
[7,3,1,2,5,4,6]=>[1,4,2]=>6
[7,3,1,2,5,6,4]=>[1,5,1]=>7
[7,3,1,2,6,4,5]=>[1,3,3]=>5
[7,3,1,2,6,5,4]=>[1,3,2,1]=>11
[7,3,1,4,2,5,6]=>[1,3,3]=>5
[7,3,1,4,2,6,5]=>[1,3,2,1]=>11
[7,3,1,4,5,2,6]=>[1,4,2]=>6
[7,3,1,4,5,6,2]=>[1,5,1]=>7
[7,3,1,4,6,2,5]=>[1,3,3]=>5
[7,3,1,4,6,5,2]=>[1,3,2,1]=>11
[7,3,1,5,2,4,6]=>[1,2,4]=>4
[7,3,1,5,2,6,4]=>[1,2,3,1]=>10
[7,3,1,5,4,2,6]=>[1,2,2,2]=>9
[7,3,1,5,4,6,2]=>[1,2,3,1]=>10
[7,3,1,5,6,2,4]=>[1,2,4]=>4
[7,3,1,5,6,4,2]=>[1,2,3,1]=>10
[7,3,1,6,2,4,5]=>[1,2,4]=>4
[7,3,1,6,2,5,4]=>[1,2,3,1]=>10
[7,3,1,6,4,2,5]=>[1,2,2,2]=>9
[7,3,1,6,4,5,2]=>[1,2,3,1]=>10
[7,3,1,6,5,2,4]=>[1,2,2,2]=>9
[7,3,1,6,5,4,2]=>[1,2,2,1,1]=>15
[7,3,2,1,4,5,6]=>[1,2,4]=>4
[7,3,2,1,4,6,5]=>[1,2,3,1]=>10
[7,3,2,1,5,4,6]=>[1,2,2,2]=>9
[7,3,2,1,5,6,4]=>[1,2,3,1]=>10
[7,3,2,1,6,4,5]=>[1,2,1,3]=>8
[7,3,2,1,6,5,4]=>[1,2,1,2,1]=>14
[7,3,2,4,1,5,6]=>[1,3,3]=>5
[7,3,2,4,1,6,5]=>[1,3,2,1]=>11
[7,3,2,4,5,1,6]=>[1,4,2]=>6
[7,3,2,4,5,6,1]=>[1,5,1]=>7
[7,3,2,4,6,1,5]=>[1,3,3]=>5
[7,3,2,4,6,5,1]=>[1,3,2,1]=>11
[7,3,2,5,1,4,6]=>[1,2,4]=>4
[7,3,2,5,1,6,4]=>[1,2,3,1]=>10
[7,3,2,5,4,1,6]=>[1,2,2,2]=>9
[7,3,2,5,4,6,1]=>[1,2,3,1]=>10
[7,3,2,5,6,1,4]=>[1,2,4]=>4
[7,3,2,5,6,4,1]=>[1,2,3,1]=>10
[7,3,2,6,1,4,5]=>[1,2,4]=>4
[7,3,2,6,1,5,4]=>[1,2,3,1]=>10
[7,3,2,6,4,1,5]=>[1,2,2,2]=>9
[7,3,2,6,4,5,1]=>[1,2,3,1]=>10
[7,3,2,6,5,1,4]=>[1,2,2,2]=>9
[7,3,2,6,5,4,1]=>[1,2,2,1,1]=>15
[7,3,4,1,2,5,6]=>[1,6]=>1
[7,3,4,1,2,6,5]=>[1,5,1]=>7
[7,3,4,1,5,2,6]=>[1,4,2]=>6
[7,3,4,1,5,6,2]=>[1,5,1]=>7
[7,3,4,1,6,2,5]=>[1,3,3]=>5
[7,3,4,1,6,5,2]=>[1,3,2,1]=>11
[7,3,4,2,1,5,6]=>[1,3,3]=>5
[7,3,4,2,1,6,5]=>[1,3,2,1]=>11
[7,3,4,2,5,1,6]=>[1,4,2]=>6
[7,3,4,2,5,6,1]=>[1,5,1]=>7
[7,3,4,2,6,1,5]=>[1,3,3]=>5
[7,3,4,2,6,5,1]=>[1,3,2,1]=>11
[7,3,4,5,1,2,6]=>[1,6]=>1
[7,3,4,5,1,6,2]=>[1,5,1]=>7
[7,3,4,5,2,1,6]=>[1,4,2]=>6
[7,3,4,5,2,6,1]=>[1,5,1]=>7
[7,3,4,5,6,1,2]=>[1,6]=>1
[7,3,4,5,6,2,1]=>[1,5,1]=>7
[7,3,4,6,1,2,5]=>[1,6]=>1
[7,3,4,6,1,5,2]=>[1,5,1]=>7
[7,3,4,6,2,1,5]=>[1,4,2]=>6
[7,3,4,6,2,5,1]=>[1,5,1]=>7
[7,3,4,6,5,1,2]=>[1,4,2]=>6
[7,3,4,6,5,2,1]=>[1,4,1,1]=>12
[7,3,5,1,2,4,6]=>[1,6]=>1
[7,3,5,1,2,6,4]=>[1,5,1]=>7
[7,3,5,1,4,2,6]=>[1,4,2]=>6
[7,3,5,1,4,6,2]=>[1,5,1]=>7
[7,3,5,1,6,2,4]=>[1,3,3]=>5
[7,3,5,1,6,4,2]=>[1,3,2,1]=>11
[7,3,5,2,1,4,6]=>[1,3,3]=>5
[7,3,5,2,1,6,4]=>[1,3,2,1]=>11
[7,3,5,2,4,1,6]=>[1,4,2]=>6
[7,3,5,2,4,6,1]=>[1,5,1]=>7
[7,3,5,2,6,1,4]=>[1,3,3]=>5
[7,3,5,2,6,4,1]=>[1,3,2,1]=>11
[7,3,5,4,1,2,6]=>[1,3,3]=>5
[7,3,5,4,1,6,2]=>[1,3,2,1]=>11
[7,3,5,4,2,1,6]=>[1,3,1,2]=>10
[7,3,5,4,2,6,1]=>[1,3,2,1]=>11
[7,3,5,4,6,1,2]=>[1,3,3]=>5
[7,3,5,4,6,2,1]=>[1,3,2,1]=>11
[7,3,5,6,1,2,4]=>[1,6]=>1
[7,3,5,6,1,4,2]=>[1,5,1]=>7
[7,3,5,6,2,1,4]=>[1,4,2]=>6
[7,3,5,6,2,4,1]=>[1,5,1]=>7
[7,3,5,6,4,1,2]=>[1,4,2]=>6
[7,3,5,6,4,2,1]=>[1,4,1,1]=>12
[7,3,6,1,2,4,5]=>[1,6]=>1
[7,3,6,1,2,5,4]=>[1,5,1]=>7
[7,3,6,1,4,2,5]=>[1,4,2]=>6
[7,3,6,1,4,5,2]=>[1,5,1]=>7
[7,3,6,1,5,2,4]=>[1,4,2]=>6
[7,3,6,1,5,4,2]=>[1,4,1,1]=>12
[7,3,6,2,1,4,5]=>[1,3,3]=>5
[7,3,6,2,1,5,4]=>[1,3,2,1]=>11
[7,3,6,2,4,1,5]=>[1,4,2]=>6
[7,3,6,2,4,5,1]=>[1,5,1]=>7
[7,3,6,2,5,1,4]=>[1,4,2]=>6
[7,3,6,2,5,4,1]=>[1,4,1,1]=>12
[7,3,6,4,1,2,5]=>[1,3,3]=>5
[7,3,6,4,1,5,2]=>[1,3,2,1]=>11
[7,3,6,4,2,1,5]=>[1,3,1,2]=>10
[7,3,6,4,2,5,1]=>[1,3,2,1]=>11
[7,3,6,4,5,1,2]=>[1,4,2]=>6
[7,3,6,4,5,2,1]=>[1,4,1,1]=>12
[7,3,6,5,1,2,4]=>[1,2,4]=>4
[7,3,6,5,1,4,2]=>[1,2,3,1]=>10
[7,3,6,5,2,1,4]=>[1,2,2,2]=>9
[7,3,6,5,2,4,1]=>[1,2,3,1]=>10
[7,3,6,5,4,1,2]=>[1,2,2,2]=>9
[7,3,6,5,4,2,1]=>[1,2,2,1,1]=>15
[7,4,1,2,3,5,6]=>[1,6]=>1
[7,4,1,2,3,6,5]=>[1,5,1]=>7
[7,4,1,2,5,3,6]=>[1,4,2]=>6
[7,4,1,2,5,6,3]=>[1,5,1]=>7
[7,4,1,2,6,3,5]=>[1,3,3]=>5
[7,4,1,2,6,5,3]=>[1,3,2,1]=>11
[7,4,1,3,2,5,6]=>[1,3,3]=>5
[7,4,1,3,2,6,5]=>[1,3,2,1]=>11
[7,4,1,3,5,2,6]=>[1,4,2]=>6
[7,4,1,3,5,6,2]=>[1,5,1]=>7
[7,4,1,3,6,2,5]=>[1,3,3]=>5
[7,4,1,3,6,5,2]=>[1,3,2,1]=>11
[7,4,1,5,2,3,6]=>[1,2,4]=>4
[7,4,1,5,2,6,3]=>[1,2,3,1]=>10
[7,4,1,5,3,2,6]=>[1,2,2,2]=>9
[7,4,1,5,3,6,2]=>[1,2,3,1]=>10
[7,4,1,5,6,2,3]=>[1,2,4]=>4
[7,4,1,5,6,3,2]=>[1,2,3,1]=>10
[7,4,1,6,2,3,5]=>[1,2,4]=>4
[7,4,1,6,2,5,3]=>[1,2,3,1]=>10
[7,4,1,6,3,2,5]=>[1,2,2,2]=>9
[7,4,1,6,3,5,2]=>[1,2,3,1]=>10
[7,4,1,6,5,2,3]=>[1,2,2,2]=>9
[7,4,1,6,5,3,2]=>[1,2,2,1,1]=>15
[7,4,2,1,3,5,6]=>[1,2,4]=>4
[7,4,2,1,3,6,5]=>[1,2,3,1]=>10
[7,4,2,1,5,3,6]=>[1,2,2,2]=>9
[7,4,2,1,5,6,3]=>[1,2,3,1]=>10
[7,4,2,1,6,3,5]=>[1,2,1,3]=>8
[7,4,2,1,6,5,3]=>[1,2,1,2,1]=>14
[7,4,2,3,1,5,6]=>[1,3,3]=>5
[7,4,2,3,1,6,5]=>[1,3,2,1]=>11
[7,4,2,3,5,1,6]=>[1,4,2]=>6
[7,4,2,3,5,6,1]=>[1,5,1]=>7
[7,4,2,3,6,1,5]=>[1,3,3]=>5
[7,4,2,3,6,5,1]=>[1,3,2,1]=>11
[7,4,2,5,1,3,6]=>[1,2,4]=>4
[7,4,2,5,1,6,3]=>[1,2,3,1]=>10
[7,4,2,5,3,1,6]=>[1,2,2,2]=>9
[7,4,2,5,3,6,1]=>[1,2,3,1]=>10
[7,4,2,5,6,1,3]=>[1,2,4]=>4
[7,4,2,5,6,3,1]=>[1,2,3,1]=>10
[7,4,2,6,1,3,5]=>[1,2,4]=>4
[7,4,2,6,1,5,3]=>[1,2,3,1]=>10
[7,4,2,6,3,1,5]=>[1,2,2,2]=>9
[7,4,2,6,3,5,1]=>[1,2,3,1]=>10
[7,4,2,6,5,1,3]=>[1,2,2,2]=>9
[7,4,2,6,5,3,1]=>[1,2,2,1,1]=>15
[7,4,3,1,2,5,6]=>[1,2,4]=>4
[7,4,3,1,2,6,5]=>[1,2,3,1]=>10
[7,4,3,1,5,2,6]=>[1,2,2,2]=>9
[7,4,3,1,5,6,2]=>[1,2,3,1]=>10
[7,4,3,1,6,2,5]=>[1,2,1,3]=>8
[7,4,3,1,6,5,2]=>[1,2,1,2,1]=>14
[7,4,3,2,1,5,6]=>[1,2,1,3]=>8
[7,4,3,2,1,6,5]=>[1,2,1,2,1]=>14
[7,4,3,2,5,1,6]=>[1,2,2,2]=>9
[7,4,3,2,5,6,1]=>[1,2,3,1]=>10
[7,4,3,2,6,1,5]=>[1,2,1,3]=>8
[7,4,3,2,6,5,1]=>[1,2,1,2,1]=>14
[7,4,3,5,1,2,6]=>[1,2,4]=>4
[7,4,3,5,1,6,2]=>[1,2,3,1]=>10
[7,4,3,5,2,1,6]=>[1,2,2,2]=>9
[7,4,3,5,2,6,1]=>[1,2,3,1]=>10
[7,4,3,5,6,1,2]=>[1,2,4]=>4
[7,4,3,5,6,2,1]=>[1,2,3,1]=>10
[7,4,3,6,1,2,5]=>[1,2,4]=>4
[7,4,3,6,1,5,2]=>[1,2,3,1]=>10
[7,4,3,6,2,1,5]=>[1,2,2,2]=>9
[7,4,3,6,2,5,1]=>[1,2,3,1]=>10
[7,4,3,6,5,1,2]=>[1,2,2,2]=>9
[7,4,3,6,5,2,1]=>[1,2,2,1,1]=>15
[7,4,5,1,2,3,6]=>[1,6]=>1
[7,4,5,1,2,6,3]=>[1,5,1]=>7
[7,4,5,1,3,2,6]=>[1,4,2]=>6
[7,4,5,1,3,6,2]=>[1,5,1]=>7
[7,4,5,1,6,2,3]=>[1,3,3]=>5
[7,4,5,1,6,3,2]=>[1,3,2,1]=>11
[7,4,5,2,1,3,6]=>[1,3,3]=>5
[7,4,5,2,1,6,3]=>[1,3,2,1]=>11
[7,4,5,2,3,1,6]=>[1,4,2]=>6
[7,4,5,2,3,6,1]=>[1,5,1]=>7
[7,4,5,2,6,1,3]=>[1,3,3]=>5
[7,4,5,2,6,3,1]=>[1,3,2,1]=>11
[7,4,5,3,1,2,6]=>[1,3,3]=>5
[7,4,5,3,1,6,2]=>[1,3,2,1]=>11
[7,4,5,3,2,1,6]=>[1,3,1,2]=>10
[7,4,5,3,2,6,1]=>[1,3,2,1]=>11
[7,4,5,3,6,1,2]=>[1,3,3]=>5
[7,4,5,3,6,2,1]=>[1,3,2,1]=>11
[7,4,5,6,1,2,3]=>[1,6]=>1
[7,4,5,6,1,3,2]=>[1,5,1]=>7
[7,4,5,6,2,1,3]=>[1,4,2]=>6
[7,4,5,6,2,3,1]=>[1,5,1]=>7
[7,4,5,6,3,1,2]=>[1,4,2]=>6
[7,4,5,6,3,2,1]=>[1,4,1,1]=>12
[7,4,6,1,2,3,5]=>[1,6]=>1
[7,4,6,1,2,5,3]=>[1,5,1]=>7
[7,4,6,1,3,2,5]=>[1,4,2]=>6
[7,4,6,1,3,5,2]=>[1,5,1]=>7
[7,4,6,1,5,2,3]=>[1,4,2]=>6
[7,4,6,1,5,3,2]=>[1,4,1,1]=>12
[7,4,6,2,1,3,5]=>[1,3,3]=>5
[7,4,6,2,1,5,3]=>[1,3,2,1]=>11
[7,4,6,2,3,1,5]=>[1,4,2]=>6
[7,4,6,2,3,5,1]=>[1,5,1]=>7
[7,4,6,2,5,1,3]=>[1,4,2]=>6
[7,4,6,2,5,3,1]=>[1,4,1,1]=>12
[7,4,6,3,1,2,5]=>[1,3,3]=>5
[7,4,6,3,1,5,2]=>[1,3,2,1]=>11
[7,4,6,3,2,1,5]=>[1,3,1,2]=>10
[7,4,6,3,2,5,1]=>[1,3,2,1]=>11
[7,4,6,3,5,1,2]=>[1,4,2]=>6
[7,4,6,3,5,2,1]=>[1,4,1,1]=>12
[7,4,6,5,1,2,3]=>[1,2,4]=>4
[7,4,6,5,1,3,2]=>[1,2,3,1]=>10
[7,4,6,5,2,1,3]=>[1,2,2,2]=>9
[7,4,6,5,2,3,1]=>[1,2,3,1]=>10
[7,4,6,5,3,1,2]=>[1,2,2,2]=>9
[7,4,6,5,3,2,1]=>[1,2,2,1,1]=>15
[7,5,1,2,3,4,6]=>[1,6]=>1
[7,5,1,2,3,6,4]=>[1,5,1]=>7
[7,5,1,2,4,3,6]=>[1,4,2]=>6
[7,5,1,2,4,6,3]=>[1,5,1]=>7
[7,5,1,2,6,3,4]=>[1,3,3]=>5
[7,5,1,2,6,4,3]=>[1,3,2,1]=>11
[7,5,1,3,2,4,6]=>[1,3,3]=>5
[7,5,1,3,2,6,4]=>[1,3,2,1]=>11
[7,5,1,3,4,2,6]=>[1,4,2]=>6
[7,5,1,3,4,6,2]=>[1,5,1]=>7
[7,5,1,3,6,2,4]=>[1,3,3]=>5
[7,5,1,3,6,4,2]=>[1,3,2,1]=>11
[7,5,1,4,2,3,6]=>[1,3,3]=>5
[7,5,1,4,2,6,3]=>[1,3,2,1]=>11
[7,5,1,4,3,2,6]=>[1,3,1,2]=>10
[7,5,1,4,3,6,2]=>[1,3,2,1]=>11
[7,5,1,4,6,2,3]=>[1,3,3]=>5
[7,5,1,4,6,3,2]=>[1,3,2,1]=>11
[7,5,1,6,2,3,4]=>[1,2,4]=>4
[7,5,1,6,2,4,3]=>[1,2,3,1]=>10
[7,5,1,6,3,2,4]=>[1,2,2,2]=>9
[7,5,1,6,3,4,2]=>[1,2,3,1]=>10
[7,5,1,6,4,2,3]=>[1,2,2,2]=>9
[7,5,1,6,4,3,2]=>[1,2,2,1,1]=>15
[7,5,2,1,3,4,6]=>[1,2,4]=>4
[7,5,2,1,3,6,4]=>[1,2,3,1]=>10
[7,5,2,1,4,3,6]=>[1,2,2,2]=>9
[7,5,2,1,4,6,3]=>[1,2,3,1]=>10
[7,5,2,1,6,3,4]=>[1,2,1,3]=>8
[7,5,2,1,6,4,3]=>[1,2,1,2,1]=>14
[7,5,2,3,1,4,6]=>[1,3,3]=>5
[7,5,2,3,1,6,4]=>[1,3,2,1]=>11
[7,5,2,3,4,1,6]=>[1,4,2]=>6
[7,5,2,3,4,6,1]=>[1,5,1]=>7
[7,5,2,3,6,1,4]=>[1,3,3]=>5
[7,5,2,3,6,4,1]=>[1,3,2,1]=>11
[7,5,2,4,1,3,6]=>[1,3,3]=>5
[7,5,2,4,1,6,3]=>[1,3,2,1]=>11
[7,5,2,4,3,1,6]=>[1,3,1,2]=>10
[7,5,2,4,3,6,1]=>[1,3,2,1]=>11
[7,5,2,4,6,1,3]=>[1,3,3]=>5
[7,5,2,4,6,3,1]=>[1,3,2,1]=>11
[7,5,2,6,1,3,4]=>[1,2,4]=>4
[7,5,2,6,1,4,3]=>[1,2,3,1]=>10
[7,5,2,6,3,1,4]=>[1,2,2,2]=>9
[7,5,2,6,3,4,1]=>[1,2,3,1]=>10
[7,5,2,6,4,1,3]=>[1,2,2,2]=>9
[7,5,2,6,4,3,1]=>[1,2,2,1,1]=>15
[7,5,3,1,2,4,6]=>[1,2,4]=>4
[7,5,3,1,2,6,4]=>[1,2,3,1]=>10
[7,5,3,1,4,2,6]=>[1,2,2,2]=>9
[7,5,3,1,4,6,2]=>[1,2,3,1]=>10
[7,5,3,1,6,2,4]=>[1,2,1,3]=>8
[7,5,3,1,6,4,2]=>[1,2,1,2,1]=>14
[7,5,3,2,1,4,6]=>[1,2,1,3]=>8
[7,5,3,2,1,6,4]=>[1,2,1,2,1]=>14
[7,5,3,2,4,1,6]=>[1,2,2,2]=>9
[7,5,3,2,4,6,1]=>[1,2,3,1]=>10
[7,5,3,2,6,1,4]=>[1,2,1,3]=>8
[7,5,3,2,6,4,1]=>[1,2,1,2,1]=>14
[7,5,3,4,1,2,6]=>[1,3,3]=>5
[7,5,3,4,1,6,2]=>[1,3,2,1]=>11
[7,5,3,4,2,1,6]=>[1,3,1,2]=>10
[7,5,3,4,2,6,1]=>[1,3,2,1]=>11
[7,5,3,4,6,1,2]=>[1,3,3]=>5
[7,5,3,4,6,2,1]=>[1,3,2,1]=>11
[7,5,3,6,1,2,4]=>[1,2,4]=>4
[7,5,3,6,1,4,2]=>[1,2,3,1]=>10
[7,5,3,6,2,1,4]=>[1,2,2,2]=>9
[7,5,3,6,2,4,1]=>[1,2,3,1]=>10
[7,5,3,6,4,1,2]=>[1,2,2,2]=>9
[7,5,3,6,4,2,1]=>[1,2,2,1,1]=>15
[7,5,4,1,2,3,6]=>[1,1,5]=>3
[7,5,4,1,2,6,3]=>[1,1,4,1]=>9
[7,5,4,1,3,2,6]=>[1,1,3,2]=>8
[7,5,4,1,3,6,2]=>[1,1,4,1]=>9
[7,5,4,1,6,2,3]=>[1,1,2,3]=>7
[7,5,4,1,6,3,2]=>[1,1,2,2,1]=>13
[7,5,4,2,1,3,6]=>[1,1,2,3]=>7
[7,5,4,2,1,6,3]=>[1,1,2,2,1]=>13
[7,5,4,2,3,1,6]=>[1,1,3,2]=>8
[7,5,4,2,3,6,1]=>[1,1,4,1]=>9
[7,5,4,2,6,1,3]=>[1,1,2,3]=>7
[7,5,4,2,6,3,1]=>[1,1,2,2,1]=>13
[7,5,4,3,1,2,6]=>[1,1,2,3]=>7
[7,5,4,3,1,6,2]=>[1,1,2,2,1]=>13
[7,5,4,3,2,1,6]=>[1,1,2,1,2]=>12
[7,5,4,3,2,6,1]=>[1,1,2,2,1]=>13
[7,5,4,3,6,1,2]=>[1,1,2,3]=>7
[7,5,4,3,6,2,1]=>[1,1,2,2,1]=>13
[7,5,4,6,1,2,3]=>[1,1,5]=>3
[7,5,4,6,1,3,2]=>[1,1,4,1]=>9
[7,5,4,6,2,1,3]=>[1,1,3,2]=>8
[7,5,4,6,2,3,1]=>[1,1,4,1]=>9
[7,5,4,6,3,1,2]=>[1,1,3,2]=>8
[7,5,4,6,3,2,1]=>[1,1,3,1,1]=>14
[7,5,6,1,2,3,4]=>[1,6]=>1
[7,5,6,1,2,4,3]=>[1,5,1]=>7
[7,5,6,1,3,2,4]=>[1,4,2]=>6
[7,5,6,1,3,4,2]=>[1,5,1]=>7
[7,5,6,1,4,2,3]=>[1,4,2]=>6
[7,5,6,1,4,3,2]=>[1,4,1,1]=>12
[7,5,6,2,1,3,4]=>[1,3,3]=>5
[7,5,6,2,1,4,3]=>[1,3,2,1]=>11
[7,5,6,2,3,1,4]=>[1,4,2]=>6
[7,5,6,2,3,4,1]=>[1,5,1]=>7
[7,5,6,2,4,1,3]=>[1,4,2]=>6
[7,5,6,2,4,3,1]=>[1,4,1,1]=>12
[7,5,6,3,1,2,4]=>[1,3,3]=>5
[7,5,6,3,1,4,2]=>[1,3,2,1]=>11
[7,5,6,3,2,1,4]=>[1,3,1,2]=>10
[7,5,6,3,2,4,1]=>[1,3,2,1]=>11
[7,5,6,3,4,1,2]=>[1,4,2]=>6
[7,5,6,3,4,2,1]=>[1,4,1,1]=>12
[7,5,6,4,1,2,3]=>[1,3,3]=>5
[7,5,6,4,1,3,2]=>[1,3,2,1]=>11
[7,5,6,4,2,1,3]=>[1,3,1,2]=>10
[7,5,6,4,2,3,1]=>[1,3,2,1]=>11
[7,5,6,4,3,1,2]=>[1,3,1,2]=>10
[7,5,6,4,3,2,1]=>[1,3,1,1,1]=>16
[7,6,1,2,3,4,5]=>[1,6]=>1
[7,6,1,2,3,5,4]=>[1,5,1]=>7
[7,6,1,2,4,3,5]=>[1,4,2]=>6
[7,6,1,2,4,5,3]=>[1,5,1]=>7
[7,6,1,2,5,3,4]=>[1,4,2]=>6
[7,6,1,2,5,4,3]=>[1,4,1,1]=>12
[7,6,1,3,2,4,5]=>[1,3,3]=>5
[7,6,1,3,2,5,4]=>[1,3,2,1]=>11
[7,6,1,3,4,2,5]=>[1,4,2]=>6
[7,6,1,3,4,5,2]=>[1,5,1]=>7
[7,6,1,3,5,2,4]=>[1,4,2]=>6
[7,6,1,3,5,4,2]=>[1,4,1,1]=>12
[7,6,1,4,2,3,5]=>[1,3,3]=>5
[7,6,1,4,2,5,3]=>[1,3,2,1]=>11
[7,6,1,4,3,2,5]=>[1,3,1,2]=>10
[7,6,1,4,3,5,2]=>[1,3,2,1]=>11
[7,6,1,4,5,2,3]=>[1,4,2]=>6
[7,6,1,4,5,3,2]=>[1,4,1,1]=>12
[7,6,1,5,2,3,4]=>[1,2,4]=>4
[7,6,1,5,2,4,3]=>[1,2,3,1]=>10
[7,6,1,5,3,2,4]=>[1,2,2,2]=>9
[7,6,1,5,3,4,2]=>[1,2,3,1]=>10
[7,6,1,5,4,2,3]=>[1,2,2,2]=>9
[7,6,1,5,4,3,2]=>[1,2,2,1,1]=>15
[7,6,2,1,3,4,5]=>[1,2,4]=>4
[7,6,2,1,3,5,4]=>[1,2,3,1]=>10
[7,6,2,1,4,3,5]=>[1,2,2,2]=>9
[7,6,2,1,4,5,3]=>[1,2,3,1]=>10
[7,6,2,1,5,3,4]=>[1,2,2,2]=>9
[7,6,2,1,5,4,3]=>[1,2,2,1,1]=>15
[7,6,2,3,1,4,5]=>[1,3,3]=>5
[7,6,2,3,1,5,4]=>[1,3,2,1]=>11
[7,6,2,3,4,1,5]=>[1,4,2]=>6
[7,6,2,3,4,5,1]=>[1,5,1]=>7
[7,6,2,3,5,1,4]=>[1,4,2]=>6
[7,6,2,3,5,4,1]=>[1,4,1,1]=>12
[7,6,2,4,1,3,5]=>[1,3,3]=>5
[7,6,2,4,1,5,3]=>[1,3,2,1]=>11
[7,6,2,4,3,1,5]=>[1,3,1,2]=>10
[7,6,2,4,3,5,1]=>[1,3,2,1]=>11
[7,6,2,4,5,1,3]=>[1,4,2]=>6
[7,6,2,4,5,3,1]=>[1,4,1,1]=>12
[7,6,2,5,1,3,4]=>[1,2,4]=>4
[7,6,2,5,1,4,3]=>[1,2,3,1]=>10
[7,6,2,5,3,1,4]=>[1,2,2,2]=>9
[7,6,2,5,3,4,1]=>[1,2,3,1]=>10
[7,6,2,5,4,1,3]=>[1,2,2,2]=>9
[7,6,2,5,4,3,1]=>[1,2,2,1,1]=>15
[7,6,3,1,2,4,5]=>[1,2,4]=>4
[7,6,3,1,2,5,4]=>[1,2,3,1]=>10
[7,6,3,1,4,2,5]=>[1,2,2,2]=>9
[7,6,3,1,4,5,2]=>[1,2,3,1]=>10
[7,6,3,1,5,2,4]=>[1,2,2,2]=>9
[7,6,3,1,5,4,2]=>[1,2,2,1,1]=>15
[7,6,3,2,1,4,5]=>[1,2,1,3]=>8
[7,6,3,2,1,5,4]=>[1,2,1,2,1]=>14
[7,6,3,2,4,1,5]=>[1,2,2,2]=>9
[7,6,3,2,4,5,1]=>[1,2,3,1]=>10
[7,6,3,2,5,1,4]=>[1,2,2,2]=>9
[7,6,3,2,5,4,1]=>[1,2,2,1,1]=>15
[7,6,3,4,1,2,5]=>[1,3,3]=>5
[7,6,3,4,1,5,2]=>[1,3,2,1]=>11
[7,6,3,4,2,1,5]=>[1,3,1,2]=>10
[7,6,3,4,2,5,1]=>[1,3,2,1]=>11
[7,6,3,4,5,1,2]=>[1,4,2]=>6
[7,6,3,4,5,2,1]=>[1,4,1,1]=>12
[7,6,3,5,1,2,4]=>[1,2,4]=>4
[7,6,3,5,1,4,2]=>[1,2,3,1]=>10
[7,6,3,5,2,1,4]=>[1,2,2,2]=>9
[7,6,3,5,2,4,1]=>[1,2,3,1]=>10
[7,6,3,5,4,1,2]=>[1,2,2,2]=>9
[7,6,3,5,4,2,1]=>[1,2,2,1,1]=>15
[7,6,4,1,2,3,5]=>[1,1,5]=>3
[7,6,4,1,2,5,3]=>[1,1,4,1]=>9
[7,6,4,1,3,2,5]=>[1,1,3,2]=>8
[7,6,4,1,3,5,2]=>[1,1,4,1]=>9
[7,6,4,1,5,2,3]=>[1,1,3,2]=>8
[7,6,4,1,5,3,2]=>[1,1,3,1,1]=>14
[7,6,4,2,1,3,5]=>[1,1,2,3]=>7
[7,6,4,2,1,5,3]=>[1,1,2,2,1]=>13
[7,6,4,2,3,1,5]=>[1,1,3,2]=>8
[7,6,4,2,3,5,1]=>[1,1,4,1]=>9
[7,6,4,2,5,1,3]=>[1,1,3,2]=>8
[7,6,4,2,5,3,1]=>[1,1,3,1,1]=>14
[7,6,4,3,1,2,5]=>[1,1,2,3]=>7
[7,6,4,3,1,5,2]=>[1,1,2,2,1]=>13
[7,6,4,3,2,1,5]=>[1,1,2,1,2]=>12
[7,6,4,3,2,5,1]=>[1,1,2,2,1]=>13
[7,6,4,3,5,1,2]=>[1,1,3,2]=>8
[7,6,4,3,5,2,1]=>[1,1,3,1,1]=>14
[7,6,4,5,1,2,3]=>[1,1,5]=>3
[7,6,4,5,1,3,2]=>[1,1,4,1]=>9
[7,6,4,5,2,1,3]=>[1,1,3,2]=>8
[7,6,4,5,2,3,1]=>[1,1,4,1]=>9
[7,6,4,5,3,1,2]=>[1,1,3,2]=>8
[7,6,4,5,3,2,1]=>[1,1,3,1,1]=>14
[7,6,5,1,2,3,4]=>[1,1,5]=>3
[7,6,5,1,2,4,3]=>[1,1,4,1]=>9
[7,6,5,1,3,2,4]=>[1,1,3,2]=>8
[7,6,5,1,3,4,2]=>[1,1,4,1]=>9
[7,6,5,1,4,2,3]=>[1,1,3,2]=>8
[7,6,5,1,4,3,2]=>[1,1,3,1,1]=>14
[7,6,5,2,1,3,4]=>[1,1,2,3]=>7
[7,6,5,2,1,4,3]=>[1,1,2,2,1]=>13
[7,6,5,2,3,1,4]=>[1,1,3,2]=>8
[7,6,5,2,3,4,1]=>[1,1,4,1]=>9
[7,6,5,2,4,1,3]=>[1,1,3,2]=>8
[7,6,5,2,4,3,1]=>[1,1,3,1,1]=>14
[7,6,5,3,1,2,4]=>[1,1,2,3]=>7
[7,6,5,3,1,4,2]=>[1,1,2,2,1]=>13
[7,6,5,3,2,1,4]=>[1,1,2,1,2]=>12
[7,6,5,3,2,4,1]=>[1,1,2,2,1]=>13
[7,6,5,3,4,1,2]=>[1,1,3,2]=>8
[7,6,5,3,4,2,1]=>[1,1,3,1,1]=>14
[7,6,5,4,1,2,3]=>[1,1,2,3]=>7
[7,6,5,4,1,3,2]=>[1,1,2,2,1]=>13
[7,6,5,4,2,1,3]=>[1,1,2,1,2]=>12
[7,6,5,4,2,3,1]=>[1,1,2,2,1]=>13
[7,6,5,4,3,1,2]=>[1,1,2,1,2]=>12
[7,6,5,4,3,2,1]=>[1,1,2,1,1,1]=>18
[8,7,6,5,4,3,2,1]=>[1,1,1,2,1,1,1]=>24
[7,8,6,5,4,3,2,1]=>[2,1,2,1,1,1]=>23
[7,6,8,5,4,3,2,1]=>[1,2,2,1,1,1]=>22
[6,7,8,5,4,3,2,1]=>[3,2,1,1,1]=>21
[7,8,5,6,4,3,2,1]=>[2,3,1,1,1]=>20
[7,6,5,8,4,3,2,1]=>[1,1,3,1,1,1]=>21
[7,5,6,8,4,3,2,1]=>[1,4,1,1,1]=>19
[6,5,7,8,4,3,2,1]=>[1,4,1,1,1]=>19
[5,6,7,8,4,3,2,1]=>[5,1,1,1]=>18
[8,7,6,4,5,3,2,1]=>[1,1,3,1,1,1]=>21
[7,8,6,4,5,3,2,1]=>[2,3,1,1,1]=>20
[8,6,7,4,5,3,2,1]=>[1,4,1,1,1]=>19
[7,6,5,4,8,3,2,1]=>[1,1,2,2,1,1]=>20
[6,5,7,4,8,3,2,1]=>[1,3,2,1,1]=>18
[7,6,4,5,8,3,2,1]=>[1,1,4,1,1]=>16
[7,5,4,6,8,3,2,1]=>[1,1,4,1,1]=>16
[7,4,5,6,8,3,2,1]=>[1,5,1,1]=>14
[4,5,6,7,8,3,2,1]=>[6,1,1]=>13
[8,7,6,5,3,4,2,1]=>[1,1,1,3,1,1]=>19
[7,8,6,5,3,4,2,1]=>[2,1,3,1,1]=>18
[8,6,7,5,3,4,2,1]=>[1,2,3,1,1]=>17
[8,7,5,6,3,4,2,1]=>[1,1,4,1,1]=>16
[5,6,7,8,3,4,2,1]=>[6,1,1]=>13
[6,7,8,3,4,5,2,1]=>[6,1,1]=>13
[8,7,5,4,3,6,2,1]=>[1,1,2,2,1,1]=>20
[7,6,5,4,3,8,2,1]=>[1,1,2,1,2,1]=>19
[6,4,5,7,3,8,2,1]=>[1,4,2,1]=>13
[5,4,6,7,3,8,2,1]=>[1,4,2,1]=>13
[4,5,6,7,3,8,2,1]=>[5,2,1]=>12
[7,6,5,3,4,8,2,1]=>[1,1,3,2,1]=>15
[7,6,4,3,5,8,2,1]=>[1,1,3,2,1]=>15
[7,6,3,4,5,8,2,1]=>[1,4,2,1]=>13
[6,3,4,5,7,8,2,1]=>[1,6,1]=>8
[4,3,5,6,7,8,2,1]=>[1,6,1]=>8
[8,7,6,5,4,2,3,1]=>[1,1,1,2,2,1]=>18
[7,8,6,5,4,2,3,1]=>[2,1,2,2,1]=>17
[8,6,7,5,4,2,3,1]=>[1,2,2,2,1]=>16
[8,7,5,6,4,2,3,1]=>[1,1,3,2,1]=>15
[5,6,7,8,4,2,3,1]=>[5,2,1]=>12
[8,7,6,4,5,2,3,1]=>[1,1,3,2,1]=>15
[8,6,7,4,5,2,3,1]=>[1,4,2,1]=>13
[4,5,6,7,8,2,3,1]=>[7,1]=>7
[8,7,6,5,3,2,4,1]=>[1,1,1,2,2,1]=>18
[8,6,5,7,3,2,4,1]=>[1,1,3,2,1]=>15
[5,6,7,8,3,2,4,1]=>[5,2,1]=>12
[8,7,6,5,2,3,4,1]=>[1,1,1,4,1]=>13
[6,7,8,5,2,3,4,1]=>[3,4,1]=>10
[8,5,6,7,2,3,4,1]=>[1,6,1]=>8
[5,6,7,8,2,3,4,1]=>[7,1]=>7
[7,8,3,2,4,5,6,1]=>[3,4,1]=>10
[7,6,5,4,3,2,8,1]=>[1,1,2,1,1,2]=>18
[6,7,5,4,3,2,8,1]=>[2,2,1,1,2]=>17
[6,5,7,4,3,2,8,1]=>[1,3,1,1,2]=>16
[6,4,5,7,3,2,8,1]=>[1,4,1,2]=>12
[4,5,6,7,3,2,8,1]=>[5,1,2]=>11
[6,5,4,3,7,2,8,1]=>[1,1,2,2,2]=>13
[5,4,6,3,7,2,8,1]=>[1,3,2,2]=>11
[6,5,3,4,7,2,8,1]=>[1,3,2,2]=>11
[7,6,5,4,2,3,8,1]=>[1,1,2,2,2]=>13
[6,7,4,5,2,3,8,1]=>[2,4,2]=>8
[6,4,5,7,2,3,8,1]=>[1,5,2]=>7
[4,5,6,7,2,3,8,1]=>[6,2]=>6
[7,6,5,3,2,4,8,1]=>[1,1,2,2,2]=>13
[7,6,5,2,3,4,8,1]=>[1,1,4,2]=>9
[6,7,2,3,4,5,8,1]=>[6,2]=>6
[5,4,3,2,6,7,8,1]=>[1,2,1,4]=>8
[3,4,5,2,6,7,8,1]=>[4,4]=>4
[5,2,3,4,6,7,8,1]=>[4,4]=>4
[4,3,2,5,6,7,8,1]=>[1,2,5]=>4
[3,4,2,5,6,7,8,1]=>[3,5]=>3
[4,2,3,5,6,7,8,1]=>[3,5]=>3
[3,2,4,5,6,7,8,1]=>[2,6]=>2
[2,3,4,5,6,7,8,1]=>[8]=>0
[8,7,6,5,4,3,1,2]=>[1,1,1,2,1,2]=>17
[7,8,6,5,4,3,1,2]=>[2,1,2,1,2]=>16
[8,6,7,5,4,3,1,2]=>[1,2,2,1,2]=>15
[8,7,5,6,4,3,1,2]=>[1,1,3,1,2]=>14
[6,5,7,8,4,3,1,2]=>[1,4,1,2]=>12
[5,6,7,8,4,3,1,2]=>[5,1,2]=>11
[8,7,6,4,5,3,1,2]=>[1,1,3,1,2]=>14
[7,8,6,4,5,3,1,2]=>[2,3,1,2]=>13
[4,5,6,7,8,3,1,2]=>[6,2]=>6
[8,7,6,5,3,4,1,2]=>[1,1,1,3,2]=>12
[8,7,5,6,3,4,1,2]=>[1,1,4,2]=>9
[7,8,5,6,3,4,1,2]=>[2,4,2]=>8
[7,6,5,8,3,4,1,2]=>[1,1,4,2]=>9
[6,7,5,8,3,4,1,2]=>[2,4,2]=>8
[7,5,6,8,3,4,1,2]=>[1,5,2]=>7
[6,5,7,8,3,4,1,2]=>[1,5,2]=>7
[5,6,7,8,3,4,1,2]=>[6,2]=>6
[7,8,5,4,3,6,1,2]=>[2,2,2,2]=>12
[7,8,4,5,3,6,1,2]=>[2,4,2]=>8
[7,8,5,3,4,6,1,2]=>[2,4,2]=>8
[7,8,4,3,5,6,1,2]=>[2,4,2]=>8
[7,8,3,4,5,6,1,2]=>[6,2]=>6
[8,4,3,5,6,7,1,2]=>[1,2,5]=>4
[8,3,4,5,6,7,1,2]=>[1,7]=>1
[7,6,5,4,3,8,1,2]=>[1,1,2,1,3]=>12
[6,5,7,4,3,8,1,2]=>[1,3,1,3]=>10
[5,6,7,4,3,8,1,2]=>[4,1,3]=>9
[6,7,4,5,3,8,1,2]=>[2,3,3]=>7
[5,6,4,7,3,8,1,2]=>[2,3,3]=>7
[5,4,6,7,3,8,1,2]=>[1,4,3]=>6
[4,5,6,7,3,8,1,2]=>[5,3]=>5
[5,4,6,3,7,8,1,2]=>[1,3,4]=>5
[5,6,3,4,7,8,1,2]=>[4,4]=>4
[6,4,3,5,7,8,1,2]=>[1,2,5]=>4
[6,3,4,5,7,8,1,2]=>[1,7]=>1
[5,4,3,6,7,8,1,2]=>[1,2,5]=>4
[4,5,3,6,7,8,1,2]=>[3,5]=>3
[4,3,5,6,7,8,1,2]=>[1,7]=>1
[3,4,5,6,7,8,1,2]=>[8]=>0
[8,7,6,5,4,2,1,3]=>[1,1,1,2,1,2]=>17
[7,6,8,5,4,2,1,3]=>[1,2,2,1,2]=>15
[5,6,7,8,4,2,1,3]=>[5,1,2]=>11
[4,5,6,7,8,2,1,3]=>[6,2]=>6
[8,7,6,5,4,1,2,3]=>[1,1,1,2,3]=>11
[6,7,8,5,4,1,2,3]=>[3,2,3]=>8
[8,5,6,7,4,1,2,3]=>[1,4,3]=>6
[6,5,7,8,4,1,2,3]=>[1,4,3]=>6
[5,6,7,8,4,1,2,3]=>[5,3]=>5
[8,7,6,4,5,1,2,3]=>[1,1,3,3]=>8
[8,6,7,4,5,1,2,3]=>[1,4,3]=>6
[8,7,4,5,6,1,2,3]=>[1,1,6]=>3
[7,8,4,5,6,1,2,3]=>[2,6]=>2
[6,7,4,5,8,1,2,3]=>[2,6]=>2
[6,5,4,7,8,1,2,3]=>[1,1,6]=>3
[4,5,6,7,8,1,2,3]=>[8]=>0
[8,7,6,5,3,2,1,4]=>[1,1,1,2,1,2]=>17
[7,8,5,6,3,2,1,4]=>[2,3,1,2]=>13
[7,6,5,8,3,2,1,4]=>[1,1,3,1,2]=>14
[5,6,7,8,3,2,1,4]=>[5,1,2]=>11
[8,7,6,5,2,3,1,4]=>[1,1,1,3,2]=>12
[7,8,5,6,2,3,1,4]=>[2,4,2]=>8
[6,7,5,8,2,3,1,4]=>[2,4,2]=>8
[7,5,6,8,2,3,1,4]=>[1,5,2]=>7
[5,6,7,8,2,3,1,4]=>[6,2]=>6
[8,7,6,5,3,1,2,4]=>[1,1,1,2,3]=>11
[7,8,5,6,3,1,2,4]=>[2,3,3]=>7
[6,7,5,8,3,1,2,4]=>[2,3,3]=>7
[7,5,6,8,3,1,2,4]=>[1,4,3]=>6
[5,6,7,8,3,1,2,4]=>[5,3]=>5
[8,7,6,5,2,1,3,4]=>[1,1,1,2,3]=>11
[7,8,6,5,2,1,3,4]=>[2,1,2,3]=>10
[6,7,8,5,2,1,3,4]=>[3,2,3]=>8
[7,8,5,6,2,1,3,4]=>[2,3,3]=>7
[6,5,7,8,2,1,3,4]=>[1,4,3]=>6
[5,6,7,8,2,1,3,4]=>[5,3]=>5
[8,7,6,5,1,2,3,4]=>[1,1,1,5]=>6
[7,8,6,5,1,2,3,4]=>[2,1,5]=>5
[8,6,7,5,1,2,3,4]=>[1,2,5]=>4
[7,6,8,5,1,2,3,4]=>[1,2,5]=>4
[6,7,8,5,1,2,3,4]=>[3,5]=>3
[8,7,5,6,1,2,3,4]=>[1,1,6]=>3
[7,8,5,6,1,2,3,4]=>[2,6]=>2
[8,6,5,7,1,2,3,4]=>[1,1,6]=>3
[8,5,6,7,1,2,3,4]=>[1,7]=>1
[7,6,5,8,1,2,3,4]=>[1,1,6]=>3
[6,7,5,8,1,2,3,4]=>[2,6]=>2
[7,5,6,8,1,2,3,4]=>[1,7]=>1
[6,5,7,8,1,2,3,4]=>[1,7]=>1
[5,6,7,8,1,2,3,4]=>[8]=>0
[8,7,6,4,3,2,1,5]=>[1,1,2,1,1,2]=>18
[6,7,8,4,3,2,1,5]=>[4,1,1,2]=>15
[8,7,6,3,4,2,1,5]=>[1,1,3,1,2]=>14
[6,7,8,3,4,2,1,5]=>[5,1,2]=>11
[8,7,6,4,2,3,1,5]=>[1,1,2,2,2]=>13
[6,7,8,4,2,3,1,5]=>[4,2,2]=>10
[8,7,6,3,2,4,1,5]=>[1,1,2,2,2]=>13
[6,7,8,3,2,4,1,5]=>[4,2,2]=>10
[8,7,6,2,3,4,1,5]=>[1,1,4,2]=>9
[6,7,8,2,3,4,1,5]=>[6,2]=>6
[8,7,6,4,3,1,2,5]=>[1,1,2,1,3]=>12
[6,7,8,4,3,1,2,5]=>[4,1,3]=>9
[8,7,6,3,4,1,2,5]=>[1,1,3,3]=>8
[6,7,8,3,4,1,2,5]=>[5,3]=>5
[8,7,6,4,2,1,3,5]=>[1,1,2,1,3]=>12
[6,7,8,4,2,1,3,5]=>[4,1,3]=>9
[8,7,6,4,1,2,3,5]=>[1,1,2,4]=>7
[6,7,8,4,1,2,3,5]=>[4,4]=>4
[8,7,6,3,2,1,4,5]=>[1,1,2,1,3]=>12
[6,7,8,3,2,1,4,5]=>[4,1,3]=>9
[8,7,6,2,3,1,4,5]=>[1,1,3,3]=>8
[6,7,8,2,3,1,4,5]=>[5,3]=>5
[8,7,6,3,1,2,4,5]=>[1,1,2,4]=>7
[6,7,8,3,1,2,4,5]=>[4,4]=>4
[8,7,6,2,1,3,4,5]=>[1,1,2,4]=>7
[6,7,8,2,1,3,4,5]=>[4,4]=>4
[8,7,6,1,2,3,4,5]=>[1,1,6]=>3
[7,8,6,1,2,3,4,5]=>[2,6]=>2
[8,6,7,1,2,3,4,5]=>[1,7]=>1
[7,6,8,1,2,3,4,5]=>[1,7]=>1
[6,7,8,1,2,3,4,5]=>[8]=>0
[7,8,5,4,3,2,1,6]=>[2,2,1,1,2]=>17
[7,8,4,5,2,3,1,6]=>[2,4,2]=>8
[7,8,3,4,2,5,1,6]=>[4,2,2]=>10
[7,8,5,4,2,1,3,6]=>[2,2,1,3]=>11
[7,8,5,4,1,2,3,6]=>[2,2,4]=>6
[7,8,4,5,1,2,3,6]=>[2,6]=>2
[8,7,5,2,1,3,4,6]=>[1,1,2,4]=>7
[7,8,5,2,1,3,4,6]=>[2,2,4]=>6
[8,7,5,1,2,3,4,6]=>[1,1,6]=>3
[7,8,5,1,2,3,4,6]=>[2,6]=>2
[8,7,4,3,2,1,5,6]=>[1,1,2,1,3]=>12
[7,8,4,3,2,1,5,6]=>[2,2,1,3]=>11
[7,8,3,2,4,1,5,6]=>[3,2,3]=>8
[7,8,2,3,4,1,5,6]=>[5,3]=>5
[7,8,3,4,1,2,5,6]=>[4,4]=>4
[7,8,4,2,1,3,5,6]=>[2,2,4]=>6
[8,7,4,1,2,3,5,6]=>[1,1,6]=>3
[8,7,3,2,1,4,5,6]=>[1,2,1,4]=>8
[7,8,3,2,1,4,5,6]=>[3,1,4]=>7
[7,8,2,1,3,4,5,6]=>[3,5]=>3
[8,7,1,2,3,4,5,6]=>[1,7]=>1
[7,8,1,2,3,4,5,6]=>[8]=>0
[8,6,5,4,3,2,1,7]=>[1,1,2,1,1,2]=>18
[8,4,5,6,3,2,1,7]=>[1,4,1,2]=>12
[8,6,5,4,3,1,2,7]=>[1,1,2,1,3]=>12
[8,5,6,3,4,1,2,7]=>[1,4,3]=>6
[8,4,3,5,6,1,2,7]=>[1,2,5]=>4
[8,3,4,5,6,1,2,7]=>[1,7]=>1
[8,6,5,4,2,1,3,7]=>[1,1,2,1,3]=>12
[8,6,4,5,1,2,3,7]=>[1,1,6]=>3
[8,6,5,2,3,1,4,7]=>[1,1,3,3]=>8
[8,5,6,2,3,1,4,7]=>[1,4,3]=>6
[8,5,6,2,1,3,4,7]=>[1,3,4]=>5
[8,6,5,1,2,3,4,7]=>[1,1,6]=>3
[8,5,6,1,2,3,4,7]=>[1,7]=>1
[8,6,4,3,2,1,5,7]=>[1,1,2,1,3]=>12
[8,6,3,4,2,1,5,7]=>[1,3,1,3]=>10
[8,6,4,2,1,3,5,7]=>[1,1,2,4]=>7
[8,4,3,2,1,5,6,7]=>[1,2,1,4]=>8
[8,2,3,4,1,5,6,7]=>[4,4]=>4
[8,4,1,2,3,5,6,7]=>[1,7]=>1
[8,3,2,1,4,5,6,7]=>[1,2,5]=>4
[8,2,3,1,4,5,6,7]=>[3,5]=>3
[8,3,1,2,4,5,6,7]=>[1,7]=>1
[8,2,1,3,4,5,6,7]=>[2,6]=>2
[8,1,2,3,4,5,6,7]=>[8]=>0
[7,6,5,4,3,2,1,8]=>[1,1,2,1,1,2]=>18
[6,7,5,4,3,2,1,8]=>[2,2,1,1,2]=>17
[6,5,7,4,3,2,1,8]=>[1,3,1,1,2]=>16
[5,6,7,4,3,2,1,8]=>[4,1,1,2]=>15
[7,6,4,5,3,2,1,8]=>[1,1,3,1,2]=>14
[7,4,5,6,3,2,1,8]=>[1,4,1,2]=>12
[6,5,4,7,3,2,1,8]=>[1,1,3,1,2]=>14
[4,5,6,7,3,2,1,8]=>[5,1,2]=>11
[7,5,6,3,4,2,1,8]=>[1,4,1,2]=>12
[5,6,7,3,4,2,1,8]=>[5,1,2]=>11
[7,6,4,3,5,2,1,8]=>[1,1,3,1,2]=>14
[7,6,3,4,5,2,1,8]=>[1,4,1,2]=>12
[7,5,4,3,6,2,1,8]=>[1,1,2,2,2]=>13
[6,7,5,4,2,3,1,8]=>[2,2,2,2]=>12
[5,6,7,4,2,3,1,8]=>[4,2,2]=>10
[7,6,4,5,2,3,1,8]=>[1,1,4,2]=>9
[6,7,4,5,2,3,1,8]=>[2,4,2]=>8
[7,4,5,6,2,3,1,8]=>[1,5,2]=>7
[5,6,4,7,2,3,1,8]=>[2,4,2]=>8
[4,5,6,7,2,3,1,8]=>[6,2]=>6
[6,5,7,3,2,4,1,8]=>[1,3,2,2]=>11
[5,6,7,3,2,4,1,8]=>[4,2,2]=>10
[7,6,5,2,3,4,1,8]=>[1,1,4,2]=>9
[6,7,5,2,3,4,1,8]=>[2,4,2]=>8
[7,5,6,2,3,4,1,8]=>[1,5,2]=>7
[6,5,7,2,3,4,1,8]=>[1,5,2]=>7
[5,6,7,2,3,4,1,8]=>[6,2]=>6
[6,7,3,4,2,5,1,8]=>[4,2,2]=>10
[7,4,5,2,3,6,1,8]=>[1,5,2]=>7
[5,6,3,4,2,7,1,8]=>[4,1,3]=>9
[4,5,3,6,2,7,1,8]=>[3,2,3]=>8
[5,4,3,2,6,7,1,8]=>[1,2,1,4]=>8
[3,2,4,5,6,7,1,8]=>[2,6]=>2
[2,3,4,5,6,7,1,8]=>[8]=>0
[7,6,5,4,3,1,2,8]=>[1,1,2,1,3]=>12
[7,5,6,4,3,1,2,8]=>[1,3,1,3]=>10
[7,4,5,6,3,1,2,8]=>[1,4,3]=>6
[4,5,6,7,3,1,2,8]=>[5,3]=>5
[7,6,5,4,2,1,3,8]=>[1,1,2,1,3]=>12
[6,5,7,4,2,1,3,8]=>[1,3,1,3]=>10
[7,5,4,6,2,1,3,8]=>[1,1,3,3]=>8
[7,4,5,6,2,1,3,8]=>[1,4,3]=>6
[4,5,6,7,2,1,3,8]=>[5,3]=>5
[7,6,5,4,1,2,3,8]=>[1,1,2,4]=>7
[5,6,7,4,1,2,3,8]=>[4,4]=>4
[7,4,5,6,1,2,3,8]=>[1,7]=>1
[5,6,4,7,1,2,3,8]=>[2,6]=>2
[5,4,6,7,1,2,3,8]=>[1,7]=>1
[4,5,6,7,1,2,3,8]=>[8]=>0
[5,6,7,3,1,2,4,8]=>[4,4]=>4
[5,6,7,2,1,3,4,8]=>[4,4]=>4
[7,6,5,1,2,3,4,8]=>[1,1,6]=>3
[6,7,5,1,2,3,4,8]=>[2,6]=>2
[7,5,6,1,2,3,4,8]=>[1,7]=>1
[6,5,7,1,2,3,4,8]=>[1,7]=>1
[5,6,7,1,2,3,4,8]=>[8]=>0
[7,6,4,3,2,1,5,8]=>[1,1,2,1,3]=>12
[7,6,4,3,1,2,5,8]=>[1,1,2,4]=>7
[6,7,1,2,3,4,5,8]=>[8]=>0
[7,5,3,1,2,4,6,8]=>[1,2,5]=>4
[7,5,1,2,3,4,6,8]=>[1,7]=>1
[7,4,3,2,1,5,6,8]=>[1,2,1,4]=>8
[7,3,1,2,4,5,6,8]=>[1,7]=>1
[7,2,1,3,4,5,6,8]=>[2,6]=>2
[7,1,2,3,4,5,6,8]=>[8]=>0
[6,5,4,3,2,1,7,8]=>[1,1,2,1,3]=>12
[5,4,3,2,6,1,7,8]=>[1,2,1,4]=>8
[4,5,3,2,6,1,7,8]=>[3,1,4]=>7
[4,2,3,5,6,1,7,8]=>[3,5]=>3
[2,3,4,5,6,1,7,8]=>[8]=>0
[5,6,4,3,1,2,7,8]=>[2,2,4]=>6
[5,4,6,3,1,2,7,8]=>[1,3,4]=>5
[5,6,3,4,1,2,7,8]=>[4,4]=>4
[5,4,3,6,1,2,7,8]=>[1,2,5]=>4
[5,6,4,2,1,3,7,8]=>[2,2,4]=>6
[5,4,6,2,1,3,7,8]=>[1,3,4]=>5
[4,5,6,1,2,3,7,8]=>[8]=>0
[5,6,3,2,1,4,7,8]=>[3,1,4]=>7
[6,4,3,2,1,5,7,8]=>[1,2,1,4]=>8
[6,4,3,1,2,5,7,8]=>[1,2,5]=>4
[6,4,1,2,3,5,7,8]=>[1,7]=>1
[6,2,3,1,4,5,7,8]=>[3,5]=>3
[6,1,2,3,4,5,7,8]=>[8]=>0
[5,4,3,2,1,6,7,8]=>[1,2,1,4]=>8
[4,5,2,3,1,6,7,8]=>[4,4]=>4
[5,2,3,4,1,6,7,8]=>[4,4]=>4
[2,3,4,5,1,6,7,8]=>[8]=>0
[5,3,1,2,4,6,7,8]=>[1,7]=>1
[5,1,2,3,4,6,7,8]=>[8]=>0
[4,3,2,1,5,6,7,8]=>[1,2,5]=>4
[3,2,4,1,5,6,7,8]=>[2,6]=>2
[2,3,4,1,5,6,7,8]=>[8]=>0
[3,4,1,2,5,6,7,8]=>[8]=>0
[4,1,2,3,5,6,7,8]=>[8]=>0
[3,2,1,4,5,6,7,8]=>[2,6]=>2
[3,1,2,4,5,6,7,8]=>[8]=>0
[2,1,3,4,5,6,7,8]=>[8]=>0
[1,2,3,4,5,6,7,8]=>[8]=>0
[5,8,7,6,4,3,2,1]=>[2,1,2,1,1,1]=>23
[6,5,8,7,4,3,2,1]=>[1,2,2,1,1,1]=>22
[4,8,7,6,5,3,2,1]=>[2,1,2,1,1,1]=>23
[4,7,6,5,8,3,2,1]=>[2,1,3,1,1]=>18
[3,7,6,8,5,4,2,1]=>[2,3,1,1,1]=>20
[3,5,8,7,6,4,2,1]=>[3,1,2,1,1]=>20
[3,5,6,8,7,4,2,1]=>[4,2,1,1]=>17
[3,5,6,7,8,4,2,1]=>[6,1,1]=>13
[3,4,8,7,6,5,2,1]=>[3,1,2,1,1]=>20
[3,4,5,8,7,6,2,1]=>[4,2,1,1]=>17
[4,3,6,5,8,7,2,1]=>[1,2,2,2,1]=>16
[5,7,6,4,3,8,2,1]=>[2,2,1,2,1]=>18
[2,7,8,6,5,4,3,1]=>[3,2,1,1,1]=>21
[2,6,8,7,5,4,3,1]=>[3,2,1,1,1]=>21
[2,5,6,7,8,4,3,1]=>[6,1,1]=>13
[2,4,8,7,6,5,3,1]=>[3,1,2,1,1]=>20
[2,4,6,8,7,5,3,1]=>[4,2,1,1]=>17
[2,7,6,5,4,8,3,1]=>[2,1,2,2,1]=>17
[2,3,5,6,8,7,4,1]=>[5,2,1]=>12
[2,3,5,6,7,8,4,1]=>[7,1]=>7
[4,3,2,8,7,6,5,1]=>[1,2,1,2,1,1]=>21
[3,4,2,8,7,6,5,1]=>[3,1,2,1,1]=>20
[2,4,3,8,7,6,5,1]=>[3,1,2,1,1]=>20
[3,2,4,8,7,6,5,1]=>[2,2,2,1,1]=>19
[2,3,4,8,7,6,5,1]=>[4,2,1,1]=>17
[5,4,3,2,8,7,6,1]=>[1,2,1,1,2,1]=>20
[5,4,3,2,7,8,6,1]=>[1,2,1,3,1]=>15
[2,5,4,3,8,7,6,1]=>[2,2,1,2,1]=>18
[2,5,4,3,7,8,6,1]=>[2,2,3,1]=>13
[2,4,5,3,7,8,6,1]=>[4,3,1]=>11
[3,4,2,5,7,8,6,1]=>[3,4,1]=>10
[4,3,6,5,2,8,7,1]=>[1,2,2,2,1]=>16
[3,2,6,5,4,8,7,1]=>[2,1,2,2,1]=>17
[2,4,3,6,5,8,7,1]=>[3,2,2,1]=>15
[5,4,3,2,6,8,7,1]=>[1,2,1,3,1]=>15
[2,5,4,3,6,8,7,1]=>[2,2,3,1]=>13
[2,4,3,5,6,8,7,1]=>[3,4,1]=>10
[2,3,4,5,6,8,7,1]=>[7,1]=>7
[4,3,6,5,7,2,8,1]=>[1,2,3,2]=>10
[2,5,4,7,6,3,8,1]=>[2,2,2,2]=>12
[2,5,4,6,7,3,8,1]=>[2,4,2]=>8
[3,2,6,5,7,4,8,1]=>[2,1,3,2]=>11
[4,3,2,7,6,5,8,1]=>[1,2,1,2,2]=>14
[3,4,2,7,6,5,8,1]=>[3,1,2,2]=>13
[3,4,2,6,7,5,8,1]=>[3,3,2]=>9
[2,4,3,7,6,5,8,1]=>[3,1,2,2]=>13
[3,2,4,7,6,5,8,1]=>[2,2,2,2]=>12
[2,3,4,7,6,5,8,1]=>[4,2,2]=>10
[5,4,3,2,7,6,8,1]=>[1,2,1,2,2]=>14
[4,3,5,2,7,6,8,1]=>[1,3,2,2]=>11
[2,5,4,3,7,6,8,1]=>[2,2,2,2]=>12
[3,2,5,4,7,6,8,1]=>[2,2,2,2]=>12
[2,3,5,4,7,6,8,1]=>[4,2,2]=>10
[3,2,4,5,7,6,8,1]=>[2,4,2]=>8
[2,4,3,6,5,7,8,1]=>[3,2,3]=>8
[2,5,4,3,6,7,8,1]=>[2,2,4]=>6
[1,8,7,6,5,4,3,2]=>[1,1,1,2,1,1,1]=>24
[1,7,8,6,5,4,3,2]=>[1,2,2,1,1,1]=>22
[1,6,8,7,5,4,3,2]=>[1,2,2,1,1,1]=>22
[1,7,6,8,5,4,3,2]=>[1,1,3,1,1,1]=>21
[1,6,7,8,5,4,3,2]=>[1,4,1,1,1]=>19
[1,5,8,7,6,4,3,2]=>[1,2,1,2,1,1]=>21
[1,7,6,5,8,4,3,2]=>[1,1,1,3,1,1]=>19
[1,5,6,7,8,4,3,2]=>[1,5,1,1]=>14
[1,4,8,7,6,5,3,2]=>[1,2,1,2,1,1]=>21
[1,4,7,8,6,5,3,2]=>[1,3,2,1,1]=>18
[1,3,5,7,8,6,4,2]=>[1,5,1,1]=>14
[1,3,6,5,7,8,4,2]=>[1,2,4,1]=>11
[1,3,5,6,7,8,4,2]=>[1,6,1]=>8
[1,4,3,8,7,6,5,2]=>[1,2,1,2,1,1]=>21
[1,4,3,7,8,6,5,2]=>[1,2,3,1,1]=>17
[1,4,3,7,6,8,5,2]=>[1,2,1,3,1]=>15
[1,3,4,8,7,6,5,2]=>[1,3,2,1,1]=>18
[1,3,4,7,6,8,5,2]=>[1,3,3,1]=>12
[1,3,4,5,7,8,6,2]=>[1,6,1]=>8
[1,6,5,4,3,8,7,2]=>[1,1,2,1,2,1]=>19
[1,5,6,4,3,8,7,2]=>[1,3,1,2,1]=>17
[1,4,3,6,5,8,7,2]=>[1,2,2,2,1]=>16
[1,3,4,5,6,8,7,2]=>[1,6,1]=>8
[1,5,4,3,6,7,8,2]=>[1,1,2,4]=>7
[1,4,5,3,6,7,8,2]=>[1,3,4]=>5
[1,4,3,5,6,7,8,2]=>[1,2,5]=>4
[1,3,4,5,6,7,8,2]=>[1,7]=>1
[2,1,8,7,6,5,4,3]=>[2,1,1,2,1,1]=>22
[2,1,6,7,8,5,4,3]=>[2,4,1,1]=>15
[2,1,6,5,8,7,4,3]=>[2,1,2,2,1]=>17
[2,1,7,6,5,8,4,3]=>[2,1,2,2,1]=>17
[2,1,6,7,5,8,4,3]=>[2,3,2,1]=>14
[2,1,6,5,7,8,4,3]=>[2,1,4,1]=>12
[2,1,5,6,7,8,4,3]=>[2,5,1]=>9
[2,1,4,8,7,6,5,3]=>[2,2,2,1,1]=>19
[2,1,4,7,8,6,5,3]=>[2,4,1,1]=>15
[2,1,4,5,8,7,6,3]=>[2,3,2,1]=>14
[2,1,4,5,7,8,6,3]=>[2,5,1]=>9
[2,1,4,6,5,8,7,3]=>[2,3,2,1]=>14
[2,1,6,5,7,4,8,3]=>[2,1,3,2]=>11
[2,1,5,4,7,6,8,3]=>[2,2,2,2]=>12
[2,1,4,5,6,7,8,3]=>[2,6]=>2
[1,2,6,7,8,5,4,3]=>[2,4,1,1]=>15
[1,2,5,6,7,8,4,3]=>[2,5,1]=>9
[1,2,4,8,7,6,5,3]=>[2,2,2,1,1]=>19
[1,2,4,7,8,6,5,3]=>[2,4,1,1]=>15
[1,2,4,6,7,8,5,3]=>[2,5,1]=>9
[1,2,6,5,4,7,8,3]=>[2,1,2,3]=>10
[1,2,5,6,4,7,8,3]=>[2,3,3]=>7
[1,2,5,4,6,7,8,3]=>[2,2,4]=>6
[1,2,4,5,6,7,8,3]=>[2,6]=>2
[3,2,1,8,7,6,5,4]=>[2,1,1,2,1,1]=>22
[3,2,1,7,8,6,5,4]=>[2,1,3,1,1]=>18
[3,2,1,6,8,7,5,4]=>[2,1,2,2,1]=>17
[3,2,1,7,6,8,5,4]=>[2,1,1,3,1]=>16
[3,2,1,6,7,8,5,4]=>[2,1,4,1]=>12
[3,2,1,5,8,7,6,4]=>[2,1,2,2,1]=>17
[3,2,1,5,7,8,6,4]=>[2,1,4,1]=>12
[3,2,1,6,5,8,7,4]=>[2,1,2,2,1]=>17
[3,2,1,5,6,8,7,4]=>[2,1,4,1]=>12
[3,2,1,7,6,5,8,4]=>[2,1,1,2,2]=>15
[3,2,1,6,7,5,8,4]=>[2,1,3,2]=>11
[3,2,1,5,7,6,8,4]=>[2,1,3,2]=>11
[3,2,1,6,5,7,8,4]=>[2,1,2,3]=>10
[3,2,1,5,6,7,8,4]=>[2,1,5]=>5
[2,3,1,8,7,6,5,4]=>[3,1,2,1,1]=>20
[1,3,2,8,7,6,5,4]=>[1,2,1,2,1,1]=>21
[2,1,3,8,7,6,5,4]=>[3,1,2,1,1]=>20
[1,2,3,8,7,6,5,4]=>[3,1,2,1,1]=>20
[1,2,3,7,8,6,5,4]=>[3,3,1,1]=>16
[1,2,3,6,8,7,5,4]=>[3,2,2,1]=>15
[1,2,3,7,6,8,5,4]=>[3,1,3,1]=>14
[1,2,3,6,7,8,5,4]=>[3,4,1]=>10
[1,2,3,5,8,7,6,4]=>[3,2,2,1]=>15
[1,2,3,5,7,8,6,4]=>[3,4,1]=>10
[1,2,3,6,5,8,7,4]=>[3,2,2,1]=>15
[1,2,3,5,6,8,7,4]=>[3,4,1]=>10
[1,2,3,7,6,5,8,4]=>[3,1,2,2]=>13
[1,2,3,6,7,5,8,4]=>[3,3,2]=>9
[1,2,3,5,7,6,8,4]=>[3,3,2]=>9
[1,2,3,6,5,7,8,4]=>[3,2,3]=>8
[1,2,3,5,6,7,8,4]=>[3,5]=>3
[4,3,2,1,8,7,6,5]=>[1,2,1,1,2,1]=>20
[4,3,2,1,7,8,6,5]=>[1,2,1,3,1]=>15
[4,3,2,1,6,8,7,5]=>[1,2,1,3,1]=>15
[4,3,2,1,7,6,8,5]=>[1,2,1,2,2]=>14
[4,3,2,1,6,7,8,5]=>[1,2,1,4]=>8
[3,4,2,1,8,7,6,5]=>[3,1,1,2,1]=>19
[3,4,2,1,7,8,6,5]=>[3,1,3,1]=>14
[3,4,2,1,6,8,7,5]=>[3,1,3,1]=>14
[3,4,2,1,7,6,8,5]=>[3,1,2,2]=>13
[3,4,2,1,6,7,8,5]=>[3,1,4]=>7
[2,4,3,1,8,7,6,5]=>[3,1,1,2,1]=>19
[2,4,3,1,7,8,6,5]=>[3,1,3,1]=>14
[2,4,3,1,6,8,7,5]=>[3,1,3,1]=>14
[2,4,3,1,7,6,8,5]=>[3,1,2,2]=>13
[2,4,3,1,6,7,8,5]=>[3,1,4]=>7
[3,2,4,1,8,7,6,5]=>[2,2,1,2,1]=>18
[3,2,4,1,7,8,6,5]=>[2,2,3,1]=>13
[3,2,4,1,6,8,7,5]=>[2,2,3,1]=>13
[3,2,4,1,7,6,8,5]=>[2,2,2,2]=>12
[3,2,4,1,6,7,8,5]=>[2,2,4]=>6
[2,3,4,1,8,7,6,5]=>[4,1,2,1]=>16
[2,3,4,1,7,8,6,5]=>[4,3,1]=>11
[2,3,4,1,6,8,7,5]=>[4,3,1]=>11
[2,3,4,1,7,6,8,5]=>[4,2,2]=>10
[2,3,4,1,6,7,8,5]=>[4,4]=>4
[1,4,3,2,8,7,6,5]=>[1,2,1,1,2,1]=>20
[1,4,3,2,7,6,8,5]=>[1,2,1,2,2]=>14
[1,4,3,2,6,7,8,5]=>[1,2,1,4]=>8
[1,3,4,2,8,7,6,5]=>[1,3,1,2,1]=>17
[1,3,4,2,7,6,8,5]=>[1,3,2,2]=>11
[1,3,4,2,6,7,8,5]=>[1,3,4]=>5
[2,1,4,3,8,7,6,5]=>[2,2,1,2,1]=>18
[2,1,4,3,7,8,6,5]=>[2,2,3,1]=>13
[2,1,4,3,6,8,7,5]=>[2,2,3,1]=>13
[2,1,4,3,7,6,8,5]=>[2,2,2,2]=>12
[2,1,4,3,6,7,8,5]=>[2,2,4]=>6
[1,2,4,3,8,7,6,5]=>[2,2,1,2,1]=>18
[1,2,4,3,7,6,8,5]=>[2,2,2,2]=>12
[1,2,4,3,6,7,8,5]=>[2,2,4]=>6
[3,2,1,4,8,7,6,5]=>[2,2,1,2,1]=>18
[3,2,1,4,7,8,6,5]=>[2,2,3,1]=>13
[3,2,1,4,7,6,8,5]=>[2,2,2,2]=>12
[3,2,1,4,6,7,8,5]=>[2,2,4]=>6
[2,3,1,4,8,7,6,5]=>[4,1,2,1]=>16
[2,3,1,4,7,6,8,5]=>[4,2,2]=>10
[2,3,1,4,6,7,8,5]=>[4,4]=>4
[1,3,2,4,8,7,6,5]=>[1,3,1,2,1]=>17
[1,3,2,4,7,6,8,5]=>[1,3,2,2]=>11
[1,3,2,4,6,7,8,5]=>[1,3,4]=>5
[2,1,3,4,8,7,6,5]=>[4,1,2,1]=>16
[2,1,3,4,7,8,6,5]=>[4,3,1]=>11
[2,1,3,4,7,6,8,5]=>[4,2,2]=>10
[2,1,3,4,6,7,8,5]=>[4,4]=>4
[1,2,3,4,8,7,6,5]=>[4,1,2,1]=>16
[1,2,3,4,7,8,6,5]=>[4,3,1]=>11
[1,2,3,4,7,6,8,5]=>[4,2,2]=>10
[1,2,3,4,6,7,8,5]=>[4,4]=>4
[5,4,3,2,1,8,7,6]=>[1,2,1,1,2,1]=>20
[5,4,3,2,1,7,8,6]=>[1,2,1,1,3]=>13
[4,5,3,2,1,8,7,6]=>[3,1,1,2,1]=>19
[3,5,4,2,1,8,7,6]=>[2,2,1,2,1]=>18
[4,3,5,2,1,8,7,6]=>[1,3,1,2,1]=>17
[3,4,5,2,1,8,7,6]=>[4,1,2,1]=>16
[2,5,4,3,1,8,7,6]=>[2,2,1,2,1]=>18
[2,4,5,3,1,8,7,6]=>[4,1,2,1]=>16
[3,2,5,4,1,8,7,6]=>[2,2,1,2,1]=>18
[2,3,5,4,1,8,7,6]=>[4,1,2,1]=>16
[4,3,2,5,1,8,7,6]=>[1,2,2,2,1]=>16
[3,4,2,5,1,8,7,6]=>[3,2,2,1]=>15
[2,4,3,5,1,8,7,6]=>[3,2,2,1]=>15
[3,2,4,5,1,8,7,6]=>[2,3,2,1]=>14
[2,3,4,5,1,8,7,6]=>[5,2,1]=>12
[4,3,2,1,5,8,7,6]=>[1,2,2,2,1]=>16
[4,3,2,1,5,7,8,6]=>[1,2,2,3]=>9
[3,2,4,1,5,8,7,6]=>[2,3,2,1]=>14
[3,2,4,1,5,7,8,6]=>[2,3,3]=>7
[2,3,4,1,5,8,7,6]=>[5,2,1]=>12
[2,3,4,1,5,7,8,6]=>[5,3]=>5
[3,2,1,4,5,8,7,6]=>[2,3,2,1]=>14
[2,3,1,4,5,7,8,6]=>[5,3]=>5
[1,2,3,4,5,8,7,6]=>[5,2,1]=>12
[1,2,3,4,5,7,8,6]=>[5,3]=>5
[6,5,4,3,2,1,8,7]=>[1,1,2,1,1,2]=>18
[5,6,4,3,2,1,8,7]=>[2,2,1,1,2]=>17
[4,5,6,3,2,1,8,7]=>[4,1,1,2]=>15
[3,6,5,4,2,1,8,7]=>[2,2,1,1,2]=>17
[4,3,6,5,2,1,8,7]=>[1,2,2,1,2]=>15
[5,4,3,6,2,1,8,7]=>[1,2,2,1,2]=>15
[4,5,3,6,2,1,8,7]=>[3,2,1,2]=>14
[4,3,5,6,2,1,8,7]=>[1,4,1,2]=>12
[2,3,6,5,4,1,8,7]=>[3,2,1,2]=>14
[2,4,3,6,5,1,8,7]=>[3,2,1,2]=>14
[5,4,3,2,6,1,8,7]=>[1,2,1,2,2]=>14
[4,5,3,2,6,1,8,7]=>[3,1,2,2]=>13
[4,3,5,2,6,1,8,7]=>[1,3,2,2]=>11
[3,2,5,4,6,1,8,7]=>[2,2,2,2]=>12
[4,3,2,5,6,1,8,7]=>[1,2,3,2]=>10
[2,3,4,5,6,1,8,7]=>[6,2]=>6
[1,5,6,4,3,2,8,7]=>[1,3,1,1,2]=>16
[2,1,6,5,4,3,8,7]=>[2,1,2,1,2]=>16
[2,1,5,6,4,3,8,7]=>[2,3,1,2]=>13
[2,1,4,6,5,3,8,7]=>[2,3,1,2]=>13
[2,1,5,4,6,3,8,7]=>[2,2,2,2]=>12
[2,1,4,5,6,3,8,7]=>[2,4,2]=>8
[4,3,2,1,6,5,8,7]=>[1,2,1,2,2]=>14
[3,4,2,1,6,5,8,7]=>[3,1,2,2]=>13
[2,4,3,1,6,5,8,7]=>[3,1,2,2]=>13
[3,2,4,1,6,5,8,7]=>[2,2,2,2]=>12
[2,3,4,1,6,5,8,7]=>[4,2,2]=>10
[2,1,4,3,6,5,8,7]=>[2,2,2,2]=>12
[5,4,3,2,1,6,8,7]=>[1,2,1,2,2]=>14
[2,1,5,4,3,6,8,7]=>[2,2,2,2]=>12
[4,3,2,1,5,6,8,7]=>[1,2,3,2]=>10
[3,2,4,1,5,6,8,7]=>[2,4,2]=>8
[2,3,4,1,5,6,8,7]=>[6,2]=>6
[2,1,3,4,5,6,8,7]=>[6,2]=>6
[1,2,3,4,5,6,8,7]=>[6,2]=>6
[5,7,6,4,3,2,1,8]=>[2,2,1,1,2]=>17
[4,7,6,5,3,2,1,8]=>[2,1,2,1,2]=>16
[3,4,7,6,5,2,1,8]=>[3,2,1,2]=>14
[3,2,7,6,5,4,1,8]=>[2,1,2,1,2]=>16
[3,2,6,7,5,4,1,8]=>[2,3,1,2]=>13
[5,4,3,2,7,6,1,8]=>[1,2,1,2,2]=>14
[4,5,3,2,7,6,1,8]=>[3,1,2,2]=>13
[3,5,4,2,7,6,1,8]=>[2,2,2,2]=>12
[3,2,5,4,7,6,1,8]=>[2,2,2,2]=>12
[2,3,4,5,7,6,1,8]=>[6,2]=>6
[3,5,4,2,6,7,1,8]=>[2,2,4]=>6
[1,3,4,6,7,5,2,8]=>[1,5,2]=>7
[1,3,4,5,7,6,2,8]=>[1,5,2]=>7
[2,1,6,7,5,4,3,8]=>[2,3,1,2]=>13
[2,3,1,5,6,7,4,8]=>[3,5]=>3
[4,3,2,1,7,6,5,8]=>[1,2,1,2,2]=>14
[4,3,2,1,6,7,5,8]=>[1,2,1,4]=>8
[3,2,4,1,7,6,5,8]=>[2,2,2,2]=>12
[3,2,4,1,6,7,5,8]=>[2,2,4]=>6
[2,3,4,1,7,6,5,8]=>[4,2,2]=>10
[2,3,4,1,6,7,5,8]=>[4,4]=>4
[1,4,3,2,7,6,5,8]=>[1,2,1,2,2]=>14
[1,3,4,2,6,7,5,8]=>[1,3,4]=>5
[3,2,1,4,7,6,5,8]=>[2,2,2,2]=>12
[5,4,3,2,1,7,6,8]=>[1,2,1,1,3]=>13
[3,2,1,5,4,7,6,8]=>[2,1,2,3]=>10
[2,3,1,5,4,7,6,8]=>[3,2,3]=>8
[1,3,2,5,4,7,6,8]=>[1,2,2,3]=>9
[1,2,3,5,4,7,6,8]=>[3,2,3]=>8
[4,3,2,1,5,7,6,8]=>[1,2,2,3]=>9
[3,2,4,1,5,7,6,8]=>[2,3,3]=>7
[2,3,4,1,5,7,6,8]=>[5,3]=>5
[1,3,2,4,5,7,6,8]=>[1,4,3]=>6
[1,2,3,4,5,7,6,8]=>[5,3]=>5
[2,3,4,6,5,1,7,8]=>[5,3]=>5
[1,2,4,6,5,3,7,8]=>[2,3,3]=>7
[4,3,2,1,6,5,7,8]=>[1,2,1,4]=>8
[3,2,4,1,6,5,7,8]=>[2,2,4]=>6
[2,3,4,1,6,5,7,8]=>[4,4]=>4
[1,2,4,3,6,5,7,8]=>[2,2,4]=>6
[3,2,5,4,1,6,7,8]=>[2,2,4]=>6
[1,3,2,5,4,6,7,8]=>[1,2,5]=>4
[1,2,3,5,4,6,7,8]=>[3,5]=>3
[1,3,2,4,5,6,7,8]=>[1,7]=>1
[1,2,3,4,8,6,7,5]=>[4,3,1]=>11
[1,2,3,5,8,6,7,4]=>[3,4,1]=>10
[1,2,3,7,5,6,8,4]=>[3,3,2]=>9
[1,2,3,8,5,6,7,4]=>[3,4,1]=>10
[1,2,3,8,5,7,6,4]=>[3,2,2,1]=>15
[1,2,3,8,6,5,7,4]=>[3,1,3,1]=>14
[1,2,3,8,6,7,5,4]=>[3,1,3,1]=>14
[1,2,4,5,8,6,7,3]=>[2,5,1]=>9
[1,2,4,8,6,5,7,3]=>[2,2,3,1]=>13
[1,2,6,4,5,7,8,3]=>[2,3,3]=>7
[1,2,8,5,4,6,7,3]=>[2,1,4,1]=>12
[1,3,2,8,6,5,7,4]=>[1,2,1,3,1]=>15
[1,3,7,4,5,6,2,8]=>[1,5,2]=>7
[1,3,8,5,4,6,7,2]=>[1,2,4,1]=>11
[1,3,8,5,6,7,4,2]=>[1,2,4,1]=>11
[1,3,8,6,5,7,4,2]=>[1,2,2,2,1]=>16
[1,5,3,4,6,7,8,2]=>[1,3,4]=>5
[1,6,3,5,4,8,7,2]=>[1,2,2,2,1]=>16
[1,8,4,3,5,6,7,2]=>[1,1,5,1]=>10
[1,8,4,7,6,5,3,2]=>[1,1,2,2,1,1]=>20
[1,7,5,4,3,6,8,2]=>[1,1,2,2,2]=>13
[1,8,5,4,3,6,7,2]=>[1,1,2,3,1]=>14
[1,8,5,4,7,6,3,2]=>[1,1,2,2,1,1]=>20
[1,8,7,4,5,6,3,2]=>[1,1,4,1,1]=>16
[1,8,7,4,6,5,3,2]=>[1,1,2,2,1,1]=>20
[1,8,6,5,4,7,3,2]=>[1,1,1,2,2,1]=>18
[1,8,7,5,4,6,3,2]=>[1,1,1,3,1,1]=>19
[1,8,7,5,6,4,3,2]=>[1,1,1,3,1,1]=>19
[2,1,3,8,5,7,6,4]=>[3,2,2,1]=>15
[2,1,4,3,8,6,7,5]=>[2,2,3,1]=>13
[2,1,4,5,8,6,7,3]=>[2,5,1]=>9
[2,1,6,4,5,3,8,7]=>[2,3,1,2]=>13
[2,1,7,4,6,5,8,3]=>[2,2,2,2]=>12
[2,1,8,5,4,7,6,3]=>[2,1,2,2,1]=>17
[2,1,8,7,5,6,4,3]=>[2,1,3,1,1]=>18
[2,3,1,8,6,7,5,4]=>[3,1,3,1]=>14
[2,3,4,1,8,6,7,5]=>[4,3,1]=>11
[2,3,4,8,5,6,7,1]=>[7,1]=>7
[2,3,4,8,5,7,6,1]=>[5,2,1]=>12
[2,3,4,8,6,5,7,1]=>[4,3,1]=>11
[2,3,4,8,6,7,5,1]=>[4,3,1]=>11
[2,3,6,4,5,1,8,7]=>[5,1,2]=>11
[2,3,7,4,5,6,8,1]=>[6,2]=>6
[2,5,3,4,1,8,7,6]=>[4,1,2,1]=>16
[2,5,3,4,8,6,7,1]=>[4,3,1]=>11
[2,8,3,4,5,6,7,1]=>[7,1]=>7
[2,8,3,5,4,7,6,1]=>[3,2,2,1]=>15
[2,8,3,5,7,6,4,1]=>[3,3,1,1]=>16
[2,5,4,3,8,6,7,1]=>[2,2,3,1]=>13
[2,8,4,3,5,7,6,1]=>[2,3,2,1]=>14
[3,2,1,5,8,6,7,4]=>[2,1,4,1]=>12
[3,2,1,7,5,6,4,8]=>[2,1,3,2]=>11
[3,2,1,7,5,6,8,4]=>[2,1,3,2]=>11
[3,2,1,8,5,6,7,4]=>[2,1,4,1]=>12
[3,2,1,8,5,7,6,4]=>[2,1,2,2,1]=>17
[3,2,1,8,6,5,7,4]=>[2,1,1,3,1]=>16
[3,2,1,8,6,7,5,4]=>[2,1,1,3,1]=>16
[3,2,4,1,8,6,7,5]=>[2,2,3,1]=>13
[3,2,7,4,6,5,8,1]=>[2,2,2,2]=>12
[3,2,7,5,4,6,1,8]=>[2,1,3,2]=>11
[4,2,3,1,6,5,8,7]=>[3,1,2,2]=>13
[4,2,3,1,6,7,8,5]=>[3,1,4]=>7
[4,2,3,1,7,6,8,5]=>[3,1,2,2]=>13
[4,2,3,1,8,6,7,5]=>[3,1,3,1]=>14
[4,2,3,1,8,7,6,5]=>[3,1,1,2,1]=>19
[4,2,3,5,1,8,7,6]=>[3,2,2,1]=>15
[4,2,3,7,5,6,8,1]=>[3,3,2]=>9
[4,2,3,7,6,5,8,1]=>[3,1,2,2]=>13
[4,2,3,8,7,6,5,1]=>[3,1,2,1,1]=>20
[5,2,3,4,1,8,7,6]=>[4,1,2,1]=>16
[7,2,3,4,6,5,1,8]=>[4,2,2]=>10
[6,2,3,5,4,1,7,8]=>[3,2,3]=>8
[7,2,3,6,5,4,1,8]=>[3,2,1,2]=>14
[5,2,4,3,1,6,7,8]=>[2,2,4]=>6
[5,2,4,3,1,7,6,8]=>[2,2,1,3]=>11
[5,2,4,3,1,8,7,6]=>[2,2,1,2,1]=>18
[5,2,4,3,6,1,7,8]=>[2,2,4]=>6
[5,2,4,3,6,1,8,7]=>[2,2,2,2]=>12
[5,2,4,3,7,6,8,1]=>[2,2,2,2]=>12
[7,2,4,3,6,5,8,1]=>[2,2,2,2]=>12
[8,2,7,4,6,5,3,1]=>[2,2,2,1,1]=>19
[4,3,2,1,8,6,7,5]=>[1,2,1,3,1]=>15
[4,3,2,7,5,6,8,1]=>[1,2,3,2]=>10
[4,3,2,8,5,7,6,1]=>[1,2,2,2,1]=>16
[5,3,2,4,1,6,8,7]=>[1,3,2,2]=>11
[5,3,2,4,1,8,7,6]=>[1,3,1,2,1]=>17
[6,3,2,5,4,1,8,7]=>[1,2,2,1,2]=>15
[8,3,2,5,4,7,6,1]=>[1,2,2,2,1]=>16
[8,3,2,7,6,5,4,1]=>[1,2,1,2,1,1]=>21
[5,3,4,2,1,7,8,6]=>[1,3,1,3]=>10
[5,3,4,2,1,8,7,6]=>[1,3,1,2,1]=>17
[8,3,7,4,6,5,2,1]=>[1,3,2,1,1]=>18
[7,3,6,5,4,2,1,8]=>[1,2,2,1,2]=>15
[5,4,3,2,8,6,7,1]=>[1,2,1,3,1]=>15
[7,4,3,6,5,2,1,8]=>[1,2,2,1,2]=>15
[6,5,3,4,2,1,8,7]=>[1,3,1,1,2]=>16
[7,6,3,5,4,2,1,8]=>[1,2,2,1,2]=>15
[8,7,3,5,4,6,2,1]=>[1,2,3,1,1]=>17
[8,7,3,6,5,4,2,1]=>[1,2,2,1,1,1]=>22
[8,5,4,3,2,7,6,1]=>[1,1,2,1,2,1]=>19
[8,7,4,3,6,5,2,1]=>[1,1,2,2,1,1]=>20
[2,4,1,3,6,5,8,7]=>[4,2,2]=>10
[2,1,4,6,3,5,8,7]=>[2,4,2]=>8
[2,4,1,6,3,5,8,7]=>[3,3,2]=>9
[2,4,6,1,3,5,8,7]=>[6,2]=>6
[2,1,4,3,6,8,5,7]=>[2,2,4]=>6
[2,4,1,3,6,8,5,7]=>[4,4]=>4
[2,1,4,6,3,8,5,7]=>[2,3,3]=>7
[2,4,1,6,3,8,5,7]=>[3,2,3]=>8
[2,4,6,1,3,8,5,7]=>[5,3]=>5
[2,1,4,6,8,3,5,7]=>[2,6]=>2
[2,4,1,6,8,3,5,7]=>[3,5]=>3
[2,4,6,1,8,3,5,7]=>[4,4]=>4
[2,4,6,8,1,3,5,7]=>[8]=>0
[2,4,1,6,3,7,5,8]=>[3,2,3]=>8
[2,4,1,3,6,7,8,5]=>[4,4]=>4
[2,4,1,6,3,7,8,5]=>[3,2,3]=>8
[2,4,1,6,7,3,8,5]=>[3,3,2]=>9
[2,4,6,1,7,3,8,5]=>[4,2,2]=>10
[2,4,1,6,7,8,3,5]=>[3,5]=>3
[2,4,6,7,1,8,3,5]=>[5,3]=>5
[2,1,4,3,7,5,8,6]=>[2,2,2,2]=>12
[2,4,1,3,7,5,8,6]=>[4,2,2]=>10
[2,4,7,1,3,5,8,6]=>[6,2]=>6
[2,1,4,3,7,8,5,6]=>[2,2,4]=>6
[2,4,1,3,7,8,5,6]=>[4,4]=>4
[2,4,7,1,3,8,5,6]=>[5,3]=>5
[2,4,7,8,1,3,5,6]=>[8]=>0
[2,4,1,5,3,7,6,8]=>[3,2,3]=>8
[2,1,4,5,7,3,8,6]=>[2,4,2]=>8
[2,4,5,7,1,3,8,6]=>[6,2]=>6
[2,1,4,3,8,5,6,7]=>[2,2,4]=>6
[2,4,1,3,8,5,6,7]=>[4,4]=>4
[2,4,1,5,3,8,6,7]=>[3,2,3]=>8
[2,1,4,5,8,3,6,7]=>[2,6]=>2
[2,4,5,1,8,3,6,7]=>[4,4]=>4
[2,4,1,5,3,6,8,7]=>[3,3,2]=>9
[2,4,1,5,6,3,8,7]=>[3,3,2]=>9
[2,4,1,5,3,6,7,8]=>[3,5]=>3
[2,4,1,5,6,3,7,8]=>[3,5]=>3
[2,4,1,5,6,7,8,3]=>[3,5]=>3
[2,4,5,6,1,7,8,3]=>[5,3]=>5
[2,4,5,6,7,1,8,3]=>[6,2]=>6
[2,4,5,6,7,8,1,3]=>[8]=>0
[2,1,5,3,6,4,8,7]=>[2,2,2,2]=>12
[2,1,5,6,3,4,8,7]=>[2,4,2]=>8
[2,5,6,8,1,3,4,7]=>[8]=>0
[2,5,1,6,7,3,4,8]=>[3,5]=>3
[2,5,1,6,7,3,8,4]=>[3,3,2]=>9
[2,1,5,6,7,8,3,4]=>[2,6]=>2
[2,5,1,6,7,8,3,4]=>[3,5]=>3
[2,5,6,1,7,8,3,4]=>[4,4]=>4
[2,5,6,7,8,1,3,4]=>[8]=>0
[2,1,5,3,7,4,8,6]=>[2,2,2,2]=>12
[2,5,1,7,3,4,8,6]=>[3,3,2]=>9
[2,5,1,3,7,8,4,6]=>[4,4]=>4
[2,1,5,7,3,8,4,6]=>[2,3,3]=>7
[2,1,5,7,8,3,4,6]=>[2,6]=>2
[2,5,7,1,8,3,4,6]=>[4,4]=>4
[2,5,7,8,1,3,4,6]=>[8]=>0
[2,3,5,1,7,4,8,6]=>[4,2,2]=>10
[2,3,5,1,6,4,7,8]=>[4,4]=>4
[2,3,5,1,6,7,8,4]=>[4,4]=>4
[2,3,5,6,1,7,8,4]=>[5,3]=>5
[2,3,5,6,7,8,1,4]=>[8]=>0
[2,1,6,3,7,4,8,5]=>[2,2,2,2]=>12
[2,6,1,3,7,4,8,5]=>[4,2,2]=>10
[2,6,7,1,3,4,8,5]=>[6,2]=>6
[2,1,6,3,7,8,4,5]=>[2,2,4]=>6
[2,6,1,7,3,8,4,5]=>[3,2,3]=>8
[2,1,6,7,8,3,4,5]=>[2,6]=>2
[2,6,7,8,1,3,4,5]=>[8]=>0
[2,1,6,3,7,4,5,8]=>[2,2,4]=>6
[2,3,1,6,4,7,5,8]=>[3,2,3]=>8
[2,3,6,1,4,7,5,8]=>[5,3]=>5
[2,1,6,3,4,7,8,5]=>[2,3,3]=>7
[2,1,3,6,7,8,4,5]=>[3,5]=>3
[2,3,1,6,7,8,4,5]=>[3,5]=>3
[2,3,6,1,7,8,4,5]=>[4,4]=>4
[2,1,6,3,4,8,5,7]=>[2,3,3]=>7
[2,3,1,6,4,8,5,7]=>[3,2,3]=>8
[2,3,1,6,8,4,5,7]=>[3,5]=>3
[2,3,6,1,8,4,5,7]=>[4,4]=>4
[2,1,6,3,4,5,8,7]=>[2,4,2]=>8
[2,3,6,1,4,5,8,7]=>[6,2]=>6
[2,3,4,1,6,8,5,7]=>[4,4]=>4
[2,6,1,3,4,5,7,8]=>[8]=>0
[2,3,4,6,1,7,5,8]=>[5,3]=>5
[2,3,4,6,7,8,1,5]=>[8]=>0
[2,1,7,8,3,4,5,6]=>[2,6]=>2
[2,7,1,8,3,4,5,6]=>[3,5]=>3
[2,7,8,1,3,4,5,6]=>[8]=>0
[2,3,1,7,4,8,5,6]=>[3,2,3]=>8
[2,3,7,1,4,8,5,6]=>[5,3]=>5
[2,3,7,8,1,4,5,6]=>[8]=>0
[2,3,4,1,7,5,8,6]=>[4,2,2]=>10
[2,3,1,4,7,8,5,6]=>[4,4]=>4
[2,3,4,1,7,8,5,6]=>[4,4]=>4
[2,3,4,7,1,8,5,6]=>[5,3]=>5
[2,7,1,3,4,5,6,8]=>[8]=>0
[2,3,4,1,7,5,6,8]=>[4,4]=>4
[2,3,4,5,7,1,8,6]=>[6,2]=>6
[2,3,4,5,7,8,1,6]=>[8]=>0
[2,1,8,3,4,5,6,7]=>[2,6]=>2
[2,8,1,3,4,5,6,7]=>[8]=>0
[2,1,3,8,4,5,6,7]=>[3,5]=>3
[2,1,3,4,8,5,6,7]=>[4,4]=>4
[2,3,1,4,8,5,6,7]=>[4,4]=>4
[2,3,4,1,8,5,6,7]=>[4,4]=>4
[2,3,4,8,1,5,6,7]=>[8]=>0
[2,3,4,1,5,8,6,7]=>[5,3]=>5
[2,3,4,5,1,8,6,7]=>[5,3]=>5
[2,3,4,5,8,1,6,7]=>[8]=>0
[2,3,4,5,6,8,1,7]=>[8]=>0
[3,1,4,2,6,5,8,7]=>[2,2,2,2]=>12
[3,4,1,2,6,5,8,7]=>[4,2,2]=>10
[3,1,4,2,6,8,5,7]=>[2,2,4]=>6
[3,4,1,2,6,8,5,7]=>[4,4]=>4
[3,1,4,6,8,2,5,7]=>[2,6]=>2
[3,4,6,8,1,2,5,7]=>[8]=>0
[3,4,6,1,2,7,5,8]=>[5,3]=>5
[3,4,6,7,1,2,5,8]=>[8]=>0
[3,1,4,2,6,7,8,5]=>[2,2,4]=>6
[3,4,1,2,6,7,8,5]=>[4,4]=>4
[3,4,6,1,2,7,8,5]=>[5,3]=>5
[3,4,6,1,7,2,8,5]=>[4,2,2]=>10
[3,4,6,7,1,2,8,5]=>[6,2]=>6
[3,4,6,1,7,8,2,5]=>[4,4]=>4
[3,4,6,7,1,8,2,5]=>[5,3]=>5
[3,1,4,2,7,5,8,6]=>[2,2,2,2]=>12
[3,4,1,2,7,8,5,6]=>[4,4]=>4
[3,4,7,1,8,2,5,6]=>[4,4]=>4
[3,4,7,8,1,2,5,6]=>[8]=>0
[3,4,5,7,1,2,8,6]=>[6,2]=>6
[3,1,4,2,8,5,6,7]=>[2,2,4]=>6
[3,4,1,2,8,5,6,7]=>[4,4]=>4
[3,4,1,5,8,2,6,7]=>[3,5]=>3
[3,4,5,8,1,2,6,7]=>[8]=>0
[3,1,4,2,5,6,7,8]=>[2,6]=>2
[3,1,4,5,6,7,8,2]=>[2,6]=>2
[3,4,1,5,6,7,8,2]=>[3,5]=>3
[3,4,5,6,7,1,8,2]=>[6,2]=>6
[3,1,5,2,6,4,8,7]=>[2,2,2,2]=>12
[3,5,1,6,2,4,8,7]=>[3,3,2]=>9
[3,5,6,1,2,4,8,7]=>[6,2]=>6
[3,5,1,2,6,8,4,7]=>[4,4]=>4
[3,1,5,6,2,8,4,7]=>[2,3,3]=>7
[3,5,6,1,8,2,4,7]=>[4,4]=>4
[3,5,6,8,1,2,4,7]=>[8]=>0
[3,5,6,1,7,2,4,8]=>[4,4]=>4
[3,5,6,1,7,2,8,4]=>[4,2,2]=>10
[3,5,6,1,7,8,2,4]=>[4,4]=>4
[3,5,6,7,8,1,2,4]=>[8]=>0
[3,1,5,2,7,4,8,6]=>[2,2,2,2]=>12
[3,1,5,7,2,4,8,6]=>[2,4,2]=>8
[3,1,5,7,2,8,4,6]=>[2,3,3]=>7
[3,5,1,7,2,8,4,6]=>[3,2,3]=>8
[3,5,1,7,8,2,4,6]=>[3,5]=>3
[3,5,7,8,1,2,4,6]=>[8]=>0
[3,1,5,2,7,4,6,8]=>[2,2,4]=>6
[1,3,5,2,7,4,8,6]=>[1,3,2,2]=>11
[3,1,5,2,8,4,6,7]=>[2,2,4]=>6
[1,3,2,5,4,8,6,7]=>[1,2,2,3]=>9
[1,3,2,5,8,4,6,7]=>[1,2,5]=>4
[1,3,5,8,2,4,6,7]=>[1,7]=>1
[1,3,5,2,6,8,4,7]=>[1,3,4]=>5
[1,3,5,2,6,7,4,8]=>[1,3,4]=>5
[1,3,5,6,2,7,4,8]=>[1,4,3]=>6
[1,3,5,6,7,8,2,4]=>[1,7]=>1
[3,1,6,2,7,4,8,5]=>[2,2,2,2]=>12
[3,6,1,7,2,4,8,5]=>[3,3,2]=>9
[3,6,1,7,2,8,4,5]=>[3,2,3]=>8
[3,6,7,1,2,8,4,5]=>[5,3]=>5
[3,6,1,7,8,2,4,5]=>[3,5]=>3
[3,6,7,8,1,2,4,5]=>[8]=>0
[3,1,6,2,7,4,5,8]=>[2,2,4]=>6
[3,1,6,7,2,4,5,8]=>[2,6]=>2
[3,6,1,2,4,7,5,8]=>[5,3]=>5
[1,3,2,6,4,7,5,8]=>[1,2,2,3]=>9
[1,3,6,2,4,7,8,5]=>[1,4,3]=>6
[3,1,2,6,7,4,8,5]=>[3,3,2]=>9
[1,3,6,2,7,8,4,5]=>[1,3,4]=>5
[3,1,6,2,8,4,5,7]=>[2,2,4]=>6
[3,1,6,8,2,4,5,7]=>[2,6]=>2
[1,3,2,6,4,8,5,7]=>[1,2,2,3]=>9
[3,1,6,2,4,5,8,7]=>[2,4,2]=>8
[3,1,6,2,4,5,7,8]=>[2,6]=>2
[1,3,2,6,4,5,7,8]=>[1,2,5]=>4
[3,1,2,4,6,7,8,5]=>[4,4]=>4
[1,3,4,6,7,2,8,5]=>[1,5,2]=>7
[3,1,7,8,2,4,5,6]=>[2,6]=>2
[1,3,2,7,4,8,5,6]=>[1,2,2,3]=>9
[1,3,7,2,8,4,5,6]=>[1,3,4]=>5
[3,7,1,2,4,5,6,8]=>[8]=>0
[1,3,2,7,4,5,6,8]=>[1,2,5]=>4
[1,3,4,5,7,8,2,6]=>[1,7]=>1
[3,1,8,2,4,5,6,7]=>[2,6]=>2
[1,3,2,8,4,5,6,7]=>[1,2,5]=>4
[3,1,2,4,8,5,6,7]=>[4,4]=>4
[1,3,2,4,8,5,6,7]=>[1,3,4]=>5
[1,3,4,2,8,5,6,7]=>[1,3,4]=>5
[3,1,2,4,5,8,6,7]=>[5,3]=>5
[1,3,2,4,5,8,6,7]=>[1,4,3]=>6
[4,1,5,2,6,3,8,7]=>[2,2,2,2]=>12
[4,5,1,2,6,3,8,7]=>[4,2,2]=>10
[4,5,6,1,2,3,8,7]=>[6,2]=>6
[4,1,5,2,6,8,3,7]=>[2,2,4]=>6
[4,5,1,6,2,8,3,7]=>[3,2,3]=>8
[4,5,6,1,2,8,3,7]=>[5,3]=>5
[4,1,5,6,8,2,3,7]=>[2,6]=>2
[4,5,6,8,1,2,3,7]=>[8]=>0
[4,5,1,6,2,7,3,8]=>[3,2,3]=>8
[4,5,6,1,7,2,3,8]=>[4,4]=>4
[4,5,6,7,1,2,8,3]=>[6,2]=>6
[4,1,5,6,7,8,2,3]=>[2,6]=>2
[4,5,6,7,1,8,2,3]=>[5,3]=>5
[4,1,5,2,7,3,8,6]=>[2,2,2,2]=>12
[4,5,1,7,2,3,8,6]=>[3,3,2]=>9
[4,1,5,2,7,8,3,6]=>[2,2,4]=>6
[4,1,5,7,2,8,3,6]=>[2,3,3]=>7
[4,5,1,7,2,8,3,6]=>[3,2,3]=>8
[4,5,7,1,2,8,3,6]=>[5,3]=>5
[4,5,1,7,8,2,3,6]=>[3,5]=>3
[4,5,7,8,1,2,3,6]=>[8]=>0
[4,5,1,2,7,3,6,8]=>[4,4]=>4
[1,4,2,5,3,7,6,8]=>[1,2,2,3]=>9
[4,1,2,5,7,3,6,8]=>[3,5]=>3
[1,4,2,5,7,3,8,6]=>[1,2,3,2]=>10
[1,4,5,2,7,3,8,6]=>[1,3,2,2]=>11
[1,4,5,7,2,3,8,6]=>[1,5,2]=>7
[1,4,2,5,7,8,3,6]=>[1,2,5]=>4
[4,5,1,2,8,3,6,7]=>[4,4]=>4
[1,4,2,5,3,8,6,7]=>[1,2,2,3]=>9
[1,4,2,5,8,3,6,7]=>[1,2,5]=>4
[4,1,2,5,6,3,8,7]=>[3,3,2]=>9
[1,4,5,2,6,3,8,7]=>[1,3,2,2]=>11
[1,4,2,5,3,6,7,8]=>[1,2,5]=>4
[1,4,5,2,6,3,7,8]=>[1,3,4]=>5
[1,4,2,5,6,7,3,8]=>[1,2,5]=>4
[1,4,5,6,2,7,3,8]=>[1,4,3]=>6
[1,4,5,6,7,2,3,8]=>[1,7]=>1
[4,1,2,5,6,7,8,3]=>[3,5]=>3
[1,4,2,5,6,7,8,3]=>[1,2,5]=>4
[1,4,5,2,6,7,8,3]=>[1,3,4]=>5
[1,4,5,6,7,8,2,3]=>[1,7]=>1
[4,1,6,2,7,3,8,5]=>[2,2,2,2]=>12
[4,6,1,2,7,8,3,5]=>[4,4]=>4
[4,6,7,1,8,2,3,5]=>[4,4]=>4
[4,6,7,8,1,2,3,5]=>[8]=>0
[4,6,1,7,2,3,5,8]=>[3,5]=>3
[4,6,1,2,3,7,5,8]=>[5,3]=>5
[1,4,2,6,3,7,5,8]=>[1,2,2,3]=>9
[4,1,6,2,3,7,8,5]=>[2,3,3]=>7
[4,1,2,6,7,3,8,5]=>[3,3,2]=>9
[1,4,6,2,7,3,8,5]=>[1,3,2,2]=>11
[1,4,2,6,7,8,3,5]=>[1,2,5]=>4
[1,4,6,2,7,8,3,5]=>[1,3,4]=>5
[1,4,6,7,2,8,3,5]=>[1,4,3]=>6
[4,1,6,2,8,3,5,7]=>[2,2,4]=>6
[4,6,1,8,2,3,5,7]=>[3,5]=>3
[4,1,2,6,3,8,5,7]=>[3,2,3]=>8
[1,4,2,6,3,8,5,7]=>[1,2,2,3]=>9
[4,1,2,3,6,5,8,7]=>[4,2,2]=>10
[4,1,2,3,6,8,5,7]=>[4,4]=>4
[4,6,1,2,3,5,7,8]=>[8]=>0
[1,4,2,6,3,5,7,8]=>[1,2,5]=>4
[4,1,2,3,6,5,7,8]=>[4,4]=>4
[4,1,2,3,6,7,5,8]=>[4,4]=>4
[4,1,2,3,6,7,8,5]=>[4,4]=>4
[1,4,2,3,6,7,8,5]=>[1,3,4]=>5
[1,2,4,6,7,8,3,5]=>[2,6]=>2
[4,1,7,2,8,3,5,6]=>[2,2,4]=>6
[4,7,1,2,8,3,5,6]=>[4,4]=>4
[4,1,7,8,2,3,5,6]=>[2,6]=>2
[4,7,1,8,2,3,5,6]=>[3,5]=>3
[1,4,2,7,3,8,5,6]=>[1,2,2,3]=>9
[4,1,2,7,8,3,5,6]=>[3,5]=>3
[1,4,2,7,8,3,5,6]=>[1,2,5]=>4
[1,4,7,8,2,3,5,6]=>[1,7]=>1
[4,1,2,3,7,5,8,6]=>[4,2,2]=>10
[4,1,2,3,7,8,5,6]=>[4,4]=>4
[4,1,7,2,3,5,6,8]=>[2,6]=>2
[4,7,1,2,3,5,6,8]=>[8]=>0
[1,4,2,7,3,5,6,8]=>[1,2,5]=>4
[4,1,2,3,7,5,6,8]=>[4,4]=>4
[1,4,2,3,7,5,6,8]=>[1,3,4]=>5
[4,1,2,3,5,7,6,8]=>[5,3]=>5
[1,4,2,3,5,7,6,8]=>[1,4,3]=>6
[4,1,2,3,5,7,8,6]=>[5,3]=>5
[1,2,4,5,7,3,8,6]=>[2,4,2]=>8
[4,8,1,2,3,5,6,7]=>[8]=>0
[1,4,2,8,3,5,6,7]=>[1,2,5]=>4
[4,1,2,3,8,5,6,7]=>[4,4]=>4
[1,4,2,3,8,5,6,7]=>[1,3,4]=>5
[1,2,4,3,8,5,6,7]=>[2,2,4]=>6
[4,1,2,3,5,8,6,7]=>[5,3]=>5
[1,4,2,3,5,8,6,7]=>[1,4,3]=>6
[4,1,2,3,5,6,8,7]=>[6,2]=>6
[1,4,2,3,5,6,7,8]=>[1,7]=>1
[5,1,6,2,7,3,8,4]=>[2,2,2,2]=>12
[5,6,1,2,7,8,3,4]=>[4,4]=>4
[1,5,2,6,3,7,4,8]=>[1,2,2,3]=>9
[5,6,1,2,3,7,8,4]=>[5,3]=>5
[1,5,6,7,8,2,3,4]=>[1,7]=>1
[5,6,1,2,8,3,4,7]=>[4,4]=>4
[5,6,8,1,2,3,4,7]=>[8]=>0
[5,1,6,2,3,8,4,7]=>[2,3,3]=>7
[5,6,1,2,3,8,4,7]=>[5,3]=>5
[1,5,2,6,3,8,4,7]=>[1,2,2,3]=>9
[1,5,6,2,3,8,4,7]=>[1,4,3]=>6
[5,1,6,2,3,4,7,8]=>[2,6]=>2
[1,5,2,6,3,4,7,8]=>[1,2,5]=>4
[1,5,2,3,6,4,7,8]=>[1,3,4]=>5
[1,2,5,3,6,4,7,8]=>[2,2,4]=>6
[1,2,5,6,3,4,7,8]=>[2,6]=>2
[1,2,5,3,6,7,4,8]=>[2,2,4]=>6
[5,1,2,3,6,7,8,4]=>[4,4]=>4
[1,5,2,3,6,7,8,4]=>[1,3,4]=>5
[1,2,5,3,6,7,8,4]=>[2,2,4]=>6
[1,2,5,6,3,7,8,4]=>[2,3,3]=>7
[1,2,5,6,7,3,8,4]=>[2,4,2]=>8
[1,2,5,6,7,8,3,4]=>[2,6]=>2
[5,1,7,2,8,3,4,6]=>[2,2,4]=>6
[5,7,1,2,8,3,4,6]=>[4,4]=>4
[5,7,8,1,2,3,4,6]=>[8]=>0
[1,5,2,7,3,8,4,6]=>[1,2,2,3]=>9
[1,5,7,2,8,3,4,6]=>[1,3,4]=>5
[5,1,2,7,3,4,8,6]=>[3,3,2]=>9
[5,7,1,2,3,4,6,8]=>[8]=>0
[1,5,2,7,3,4,6,8]=>[1,2,5]=>4
[1,5,2,3,7,4,6,8]=>[1,3,4]=>5
[1,5,2,3,4,7,6,8]=>[1,4,3]=>6
[5,1,2,8,3,4,6,7]=>[3,5]=>3
[1,5,2,8,3,4,6,7]=>[1,2,5]=>4
[1,5,8,2,3,4,6,7]=>[1,7]=>1
[5,1,2,3,8,4,6,7]=>[4,4]=>4
[1,2,5,3,8,4,6,7]=>[2,2,4]=>6
[1,5,2,3,4,8,6,7]=>[1,4,3]=>6
[1,2,3,5,4,8,6,7]=>[3,2,3]=>8
[5,1,2,3,4,6,8,7]=>[6,2]=>6
[1,5,2,3,4,6,7,8]=>[1,7]=>1
[6,1,7,8,2,3,4,5]=>[2,6]=>2
[6,7,1,8,2,3,4,5]=>[3,5]=>3
[1,6,2,7,3,8,4,5]=>[1,2,2,3]=>9
[1,6,7,2,8,3,4,5]=>[1,3,4]=>5
[1,6,7,8,2,3,4,5]=>[1,7]=>1
[6,7,1,2,3,4,8,5]=>[6,2]=>6
[6,1,2,3,7,8,4,5]=>[4,4]=>4
[6,1,7,2,3,4,5,8]=>[2,6]=>2
[6,1,2,7,3,4,5,8]=>[3,5]=>3
[1,6,2,7,3,4,5,8]=>[1,2,5]=>4
[1,6,7,2,3,4,5,8]=>[1,7]=>1
[1,2,6,3,7,4,5,8]=>[2,2,4]=>6
[1,6,2,3,4,7,5,8]=>[1,4,3]=>6
[1,2,3,6,4,7,5,8]=>[3,2,3]=>8
[6,1,2,3,4,7,8,5]=>[5,3]=>5
[1,2,6,3,4,7,8,5]=>[2,3,3]=>7
[1,2,3,6,4,7,8,5]=>[3,2,3]=>8
[1,2,3,6,7,4,8,5]=>[3,3,2]=>9
[6,1,8,2,3,4,5,7]=>[2,6]=>2
[6,1,2,8,3,4,5,7]=>[3,5]=>3
[1,6,2,8,3,4,5,7]=>[1,2,5]=>4
[1,6,8,2,3,4,5,7]=>[1,7]=>1
[1,6,2,3,4,8,5,7]=>[1,4,3]=>6
[1,2,6,3,4,8,5,7]=>[2,3,3]=>7
[1,2,3,6,4,8,5,7]=>[3,2,3]=>8
[6,1,2,3,4,5,8,7]=>[6,2]=>6
[1,6,2,3,4,5,7,8]=>[1,7]=>1
[1,2,3,6,4,5,7,8]=>[3,5]=>3
[7,1,8,2,3,4,5,6]=>[2,6]=>2
[7,1,2,8,3,4,5,6]=>[3,5]=>3
[1,7,2,8,3,4,5,6]=>[1,2,5]=>4
[1,7,8,2,3,4,5,6]=>[1,7]=>1
[1,7,2,3,8,4,5,6]=>[1,3,4]=>5
[7,1,2,3,4,8,5,6]=>[5,3]=>5
[1,7,2,3,4,8,5,6]=>[1,4,3]=>6
[1,2,3,7,4,8,5,6]=>[3,2,3]=>8
[7,1,2,3,4,5,8,6]=>[6,2]=>6
[1,7,2,3,4,5,8,6]=>[1,5,2]=>7
[1,2,7,3,4,5,8,6]=>[2,4,2]=>8
[1,2,3,7,4,5,8,6]=>[3,3,2]=>9
[1,2,3,4,7,5,8,6]=>[4,2,2]=>10
[1,2,3,4,7,8,5,6]=>[4,4]=>4
[1,7,2,3,4,5,6,8]=>[1,7]=>1
[1,2,3,7,4,5,6,8]=>[3,5]=>3
[1,8,2,3,4,5,6,7]=>[1,7]=>1
[1,2,3,8,4,5,6,7]=>[3,5]=>3
[1,2,3,4,8,5,6,7]=>[4,4]=>4
[1,2,3,4,5,8,6,7]=>[5,3]=>5
[5,3,2,6,1,4,8,7]=>[1,2,3,2]=>10
[7,3,2,5,4,8,1,6]=>[1,2,2,3]=>9
[8,4,5,2,3,7,6,1]=>[1,4,2,1]=>13
[7,4,5,2,3,8,1,6]=>[1,4,3]=>6
[6,4,5,2,3,1,8,7]=>[1,4,1,2]=>12
[5,4,6,2,1,3,8,7]=>[1,3,2,2]=>11
[3,6,1,5,4,2,8,7]=>[3,2,1,2]=>14
[4,6,5,1,3,2,8,7]=>[2,3,1,2]=>13
[5,6,4,3,1,2,8,7]=>[2,2,2,2]=>12
[7,5,4,3,2,8,1,6]=>[1,1,2,1,3]=>12
[8,6,4,3,7,2,5,1]=>[1,1,2,3,1]=>14
[7,6,4,3,8,2,1,5]=>[1,1,2,2,2]=>13
[6,7,4,3,8,1,2,5]=>[2,2,4]=>6
[5,7,4,3,1,8,2,6]=>[2,2,1,3]=>11
[4,7,5,1,3,8,2,6]=>[2,3,3]=>7
[3,7,1,5,4,8,2,6]=>[3,2,3]=>8
[2,1,7,5,4,8,3,6]=>[2,1,2,3]=>10
[3,8,1,5,4,7,6,2]=>[3,2,2,1]=>15
[4,8,5,1,3,7,6,2]=>[2,3,2,1]=>14
[5,8,4,3,1,7,6,2]=>[2,2,1,2,1]=>18
[6,8,4,3,7,1,5,2]=>[2,2,3,1]=>13
[7,8,4,3,6,5,1,2]=>[2,2,2,2]=>12
[6,8,5,7,3,1,4,2]=>[2,3,2,1]=>14
[5,8,6,7,1,3,4,2]=>[2,5,1]=>9
[4,8,6,1,7,3,5,2]=>[2,2,3,1]=>13
[3,8,1,6,7,4,5,2]=>[3,4,1]=>10
[2,1,8,6,7,4,5,3]=>[2,1,4,1]=>12
[2,1,7,6,8,4,3,5]=>[2,1,3,2]=>11
[3,7,1,6,8,4,2,5]=>[3,3,2]=>9
[4,7,6,1,8,3,2,5]=>[2,2,2,2]=>12
[5,7,6,8,1,3,2,4]=>[2,4,2]=>8
[5,4,7,2,1,8,3,6]=>[1,3,1,3]=>10
[6,4,7,2,8,1,3,5]=>[1,3,4]=>5
[7,4,6,2,8,3,1,5]=>[1,3,2,2]=>11
[8,4,6,2,7,3,5,1]=>[1,3,3,1]=>12
[8,3,2,6,7,4,5,1]=>[1,2,4,1]=>11
[7,3,2,6,8,4,1,5]=>[1,2,3,2]=>10
[6,3,2,7,8,1,4,5]=>[1,2,5]=>4
[5,3,2,7,1,8,4,6]=>[1,2,2,3]=>9
[4,3,2,1,7,8,5,6]=>[1,2,1,4]=>8
[3,4,1,2,8,7,6,5]=>[4,1,2,1]=>16
[5,3,2,8,1,7,6,4]=>[1,2,2,2,1]=>16
[6,3,2,8,7,1,5,4]=>[1,2,1,3,1]=>15
[7,3,2,8,6,5,1,4]=>[1,2,1,2,2]=>14
[8,4,7,2,6,5,3,1]=>[1,3,2,1,1]=>18
[7,4,8,2,6,5,1,3]=>[1,3,2,2]=>11
[6,4,8,2,7,1,5,3]=>[1,3,3,1]=>12
[5,4,8,2,1,7,6,3]=>[1,3,1,2,1]=>17
[4,5,8,1,2,7,6,3]=>[5,2,1]=>12
[3,5,1,8,2,7,6,4]=>[3,2,2,1]=>15
[2,1,5,8,3,7,6,4]=>[2,3,2,1]=>14
[2,1,6,8,7,3,5,4]=>[2,2,3,1]=>13
[3,6,1,8,7,2,5,4]=>[3,1,3,1]=>14
[4,6,8,1,7,2,5,3]=>[4,3,1]=>11
[5,6,8,7,1,2,4,3]=>[3,4,1]=>10
[6,5,8,7,2,1,4,3]=>[1,2,2,2,1]=>16
[7,5,8,6,2,4,1,3]=>[1,2,3,2]=>10
[8,5,7,6,2,4,3,1]=>[1,2,3,1,1]=>17
[5,7,8,6,1,4,2,3]=>[3,3,2]=>9
[4,7,8,1,6,5,2,3]=>[4,2,2]=>10
[3,7,1,8,6,5,2,4]=>[3,1,2,2]=>13
[2,1,7,8,6,5,3,4]=>[2,2,2,2]=>12
[3,8,1,7,6,5,4,2]=>[3,1,2,1,1]=>20
[4,8,7,1,6,5,3,2]=>[2,2,2,1,1]=>19
[5,8,7,6,1,4,3,2]=>[2,1,3,1,1]=>18
[6,8,7,5,4,1,3,2]=>[2,1,2,2,1]=>17
[2,1,8,5,4,7,6,3,10,9]=>[2,1,2,2,1,2]=>25
[10,5,4,3,2,9,8,7,6,1]=>[1,1,2,1,1,2,1,1]=>35
[4,2,5,1,3,6,7,8]=>[2,6]=>2
[3,2,6,1,4,5,7,8]=>[2,6]=>2
[6,3,5,1,2,4,7,8]=>[1,7]=>1
[7,3,5,1,2,4,6,8]=>[1,7]=>1
[6,2,8,1,3,4,5,7]=>[2,6]=>2
[6,5,8,1,2,3,4,7]=>[1,7]=>1
[7,5,8,1,2,3,4,6]=>[1,7]=>1
[8,3,5,1,2,4,6,7]=>[1,7]=>1
[8,3,7,1,2,4,5,6]=>[1,7]=>1
[8,5,7,1,2,3,4,6]=>[1,7]=>1
[5,2,6,7,1,3,4,8]=>[2,6]=>2
[5,3,6,7,1,2,4,8]=>[1,7]=>1
[6,2,5,7,1,3,4,8]=>[2,6]=>2
[6,3,5,7,1,2,4,8]=>[1,7]=>1
[4,2,6,8,1,3,5,7]=>[2,6]=>2
[4,3,6,8,1,2,5,7]=>[1,7]=>1
[6,2,4,8,1,3,5,7]=>[2,6]=>2
[6,3,5,8,1,2,4,7]=>[1,7]=>1
[3,2,7,8,1,4,5,6]=>[2,6]=>2
[7,3,4,8,1,2,5,6]=>[1,7]=>1
[8,2,4,6,1,3,5,7]=>[2,6]=>2
[8,3,5,7,1,2,4,6]=>[1,7]=>1
[5,6,2,4,1,3,7,8]=>[4,4]=>4
[5,7,2,4,1,3,6,8]=>[4,4]=>4
[4,7,3,6,1,2,5,8]=>[3,5]=>3
[4,8,2,5,1,3,6,7]=>[3,5]=>3
[4,8,2,6,1,3,5,7]=>[3,5]=>3
[6,8,2,4,1,3,5,7]=>[4,4]=>4
[3,8,2,7,1,4,5,6]=>[3,5]=>3
[4,8,2,7,1,3,5,6]=>[3,5]=>3
[4,8,3,7,1,2,5,6]=>[3,5]=>3
[5,8,2,7,1,3,4,6]=>[3,5]=>3
[5,8,3,7,1,2,4,6]=>[3,5]=>3
[5,8,4,7,1,2,3,6]=>[2,6]=>2
[6,8,5,7,1,2,3,4]=>[2,6]=>2
[7,8,2,4,1,3,5,6]=>[4,4]=>4
[7,8,3,5,1,2,4,6]=>[3,5]=>3
[7,8,4,6,1,2,3,5]=>[2,6]=>2
[4,3,2,6,1,5,7,8]=>[1,2,5]=>4
[5,3,2,6,1,4,7,8]=>[1,2,5]=>4
[5,4,2,6,1,3,7,8]=>[1,2,5]=>4
[4,3,2,7,1,5,6,8]=>[1,2,5]=>4
[5,3,2,7,1,4,6,8]=>[1,2,5]=>4
[6,5,3,7,1,2,4,8]=>[1,2,5]=>4
[7,4,2,5,1,3,6,8]=>[1,2,5]=>4
[7,4,2,6,1,3,5,8]=>[1,2,5]=>4
[4,3,2,8,1,5,6,7]=>[1,2,5]=>4
[5,3,2,8,1,4,6,7]=>[1,2,5]=>4
[6,4,2,8,1,3,5,7]=>[1,2,5]=>4
[6,5,2,8,1,3,4,7]=>[1,2,5]=>4
[6,5,3,8,1,2,4,7]=>[1,2,5]=>4
[6,5,4,8,1,2,3,7]=>[1,1,6]=>3
[7,4,2,8,1,3,5,6]=>[1,2,5]=>4
[7,4,3,8,1,2,5,6]=>[1,2,5]=>4
[8,4,2,5,1,3,6,7]=>[1,2,5]=>4
[8,4,2,6,1,3,5,7]=>[1,2,5]=>4
[8,6,2,4,1,3,5,7]=>[1,3,4]=>5
[8,4,2,7,1,3,5,6]=>[1,2,5]=>4
[8,5,4,7,1,2,3,6]=>[1,1,6]=>3
[8,7,2,4,1,3,5,6]=>[1,3,4]=>5
[8,7,3,5,1,2,4,6]=>[1,2,5]=>4
[8,7,2,6,1,3,4,5]=>[1,2,5]=>4
[8,7,3,6,1,2,4,5]=>[1,2,5]=>4
[8,7,4,6,1,2,3,5]=>[1,1,6]=>3
[5,6,2,4,8,1,3,7]=>[4,4]=>4
[4,7,3,5,8,1,2,6]=>[3,5]=>3
[5,7,2,4,8,1,3,6]=>[4,4]=>4
[4,7,3,6,8,1,2,5]=>[3,5]=>3
[6,7,3,4,8,1,2,5]=>[4,4]=>4
[4,8,3,5,7,1,2,6]=>[3,5]=>3
[5,8,4,6,7,1,2,3]=>[2,6]=>2
[6,8,2,5,7,1,3,4]=>[3,5]=>3
[7,8,2,4,6,1,3,5]=>[4,4]=>4
[4,3,2,6,8,1,5,7]=>[1,2,5]=>4
[5,4,2,6,8,1,3,7]=>[1,2,5]=>4
[6,3,2,5,8,1,4,7]=>[1,2,5]=>4
[6,4,3,5,8,1,2,7]=>[1,2,5]=>4
[6,5,2,4,8,1,3,7]=>[1,3,4]=>5
[4,3,2,7,8,1,5,6]=>[1,2,5]=>4
[5,4,2,7,8,1,3,6]=>[1,2,5]=>4
[8,7,2,4,6,1,3,5]=>[1,3,4]=>5
[8,7,3,4,6,1,2,5]=>[1,3,4]=>5
[4,3,7,2,6,1,5,8]=>[1,3,4]=>5
[6,3,7,2,5,1,4,8]=>[1,4,3]=>6
[6,4,7,2,5,1,3,8]=>[1,4,3]=>6
[4,3,8,2,6,1,5,7]=>[1,3,4]=>5
[6,4,8,2,5,1,3,7]=>[1,4,3]=>6
[4,3,8,2,7,1,5,6]=>[1,3,4]=>5
[6,4,8,2,7,1,3,5]=>[1,3,4]=>5
[6,5,8,2,7,1,3,4]=>[1,3,4]=>5
[7,5,8,2,4,1,3,6]=>[1,4,3]=>6
[7,5,8,2,6,1,3,4]=>[1,3,4]=>5
[7,5,8,4,6,1,2,3]=>[1,3,4]=>5
[8,3,7,2,6,1,4,5]=>[1,3,4]=>5
[8,4,7,2,6,1,3,5]=>[1,3,4]=>5
[8,4,7,3,6,1,2,5]=>[1,3,4]=>5
[8,5,7,2,6,1,3,4]=>[1,3,4]=>5
[8,6,7,2,5,1,3,4]=>[1,4,3]=>6
[5,4,3,2,7,1,6,8]=>[1,2,1,4]=>8
[6,4,3,2,7,1,5,8]=>[1,2,1,4]=>8
[6,5,3,2,7,1,4,8]=>[1,2,1,4]=>8
[7,5,3,2,6,1,4,8]=>[1,2,1,4]=>8
[5,4,3,2,8,1,6,7]=>[1,2,1,4]=>8
[6,5,3,2,8,1,4,7]=>[1,2,1,4]=>8
[7,5,3,2,8,1,4,6]=>[1,2,1,4]=>8
[7,6,5,3,8,1,2,4]=>[1,1,2,4]=>7
[8,5,3,2,6,1,4,7]=>[1,2,1,4]=>8
[8,5,3,2,7,1,4,6]=>[1,2,1,4]=>8
[8,6,5,3,7,1,2,4]=>[1,1,2,4]=>7
[8,7,4,2,6,1,3,5]=>[1,1,2,4]=>7
[8,7,4,3,6,1,2,5]=>[1,1,2,4]=>7
[8,7,5,2,6,1,3,4]=>[1,1,2,4]=>7
[8,7,5,3,6,1,2,4]=>[1,1,2,4]=>7
[8,7,6,2,4,1,3,5]=>[1,1,3,3]=>8
[4,8,3,7,2,6,1,5]=>[3,3,2]=>9
[5,8,3,7,2,6,1,4]=>[3,3,2]=>9
[5,8,4,7,2,6,1,3]=>[2,4,2]=>8
[5,8,4,7,3,6,1,2]=>[2,4,2]=>8
[6,8,3,7,2,5,1,4]=>[3,3,2]=>9
[6,8,4,7,2,5,1,3]=>[2,4,2]=>8
[6,8,4,7,3,5,1,2]=>[2,4,2]=>8
[6,8,5,7,2,4,1,3]=>[2,4,2]=>8
[6,8,5,7,3,4,1,2]=>[2,4,2]=>8
[7,8,3,6,2,5,1,4]=>[3,3,2]=>9
[7,8,4,6,2,5,1,3]=>[2,4,2]=>8
[7,8,4,6,3,5,1,2]=>[2,4,2]=>8
[7,8,5,6,2,4,1,3]=>[2,4,2]=>8
[6,4,3,8,2,7,1,5]=>[1,2,2,3]=>9
[6,5,3,8,2,7,1,4]=>[1,2,2,3]=>9
[7,5,3,8,2,6,1,4]=>[1,2,3,2]=>10
[7,6,4,8,2,5,1,3]=>[1,1,4,2]=>9
[8,5,3,7,2,6,1,4]=>[1,2,3,2]=>10
[8,5,4,7,2,6,1,3]=>[1,1,4,2]=>9
[8,5,4,7,3,6,1,2]=>[1,1,4,2]=>9
[8,6,4,7,2,5,1,3]=>[1,1,4,2]=>9
[8,7,5,6,2,4,1,3]=>[1,1,4,2]=>9
[6,5,4,3,2,8,1,7]=>[1,1,2,1,3]=>12
[8,5,4,3,2,7,1,6]=>[1,1,2,1,3]=>12
[8,7,5,4,2,6,1,3]=>[1,1,2,2,2]=>13
[8,7,6,5,2,4,1,3]=>[1,1,1,3,2]=>12
[8,1,2,3,4,7,5,6]=>[5,3]=>5
[8,1,2,3,7,4,5,6]=>[4,4]=>4
[5,1,2,3,8,7,4,6]=>[4,1,3]=>9
[8,1,2,3,6,7,4,5]=>[4,4]=>4
[4,1,2,8,7,3,5,6]=>[3,1,4]=>7
[4,1,2,7,6,3,8,5]=>[3,1,2,2]=>13
[8,1,2,5,6,3,4,7]=>[3,5]=>3
[8,1,2,5,7,3,4,6]=>[3,5]=>3
[8,1,2,7,6,3,4,5]=>[3,1,4]=>7
[7,1,2,5,6,3,8,4]=>[3,3,2]=>9
[4,1,2,5,8,7,3,6]=>[3,2,3]=>8
[8,1,2,5,6,7,3,4]=>[3,5]=>3
[3,1,7,2,6,4,8,5]=>[2,2,2,2]=>12
[3,1,8,2,6,7,4,5]=>[2,2,4]=>6
[6,1,4,2,3,8,5,7]=>[2,3,3]=>7
[8,1,4,2,3,7,5,6]=>[2,3,3]=>7
[8,1,7,2,3,4,5,6]=>[2,6]=>2
[6,1,5,2,3,8,4,7]=>[2,3,3]=>7
[5,1,4,2,8,3,6,7]=>[2,2,4]=>6
[5,1,4,2,7,3,8,6]=>[2,2,2,2]=>12
[8,1,4,2,6,3,5,7]=>[2,2,4]=>6
[7,1,4,2,6,3,8,5]=>[2,2,2,2]=>12
[8,1,5,2,7,3,4,6]=>[2,2,4]=>6
[7,1,5,2,6,3,8,4]=>[2,2,2,2]=>12
[5,1,4,2,8,7,3,6]=>[2,2,1,3]=>11
[5,1,4,2,6,7,8,3]=>[2,2,4]=>6
[3,1,8,6,2,4,5,7]=>[2,1,5]=>5
[3,1,8,6,2,7,4,5]=>[2,1,2,3]=>10
[8,1,4,5,2,3,6,7]=>[2,6]=>2
[7,1,4,8,2,3,5,6]=>[2,6]=>2
[7,1,8,5,2,3,4,6]=>[2,1,5]=>5
[7,1,8,6,2,3,4,5]=>[2,1,5]=>5
[8,1,4,5,2,7,3,6]=>[2,3,3]=>7
[8,1,6,5,2,7,3,4]=>[2,1,2,3]=>10
[6,1,4,5,2,7,8,3]=>[2,3,3]=>7
[3,1,4,8,7,2,5,6]=>[2,2,4]=>6
[3,1,7,5,6,2,8,4]=>[2,1,3,2]=>11
[8,1,4,5,7,2,3,6]=>[2,6]=>2
[8,1,4,7,6,2,3,5]=>[2,2,4]=>6
[8,1,7,5,6,2,3,4]=>[2,1,5]=>5
[7,1,4,5,6,2,8,3]=>[2,4,2]=>8
[3,1,4,5,8,7,2,6]=>[2,3,3]=>7
[3,1,4,8,6,7,2,5]=>[2,2,4]=>6
[3,1,8,5,6,7,2,4]=>[2,1,5]=>5
[8,1,4,5,6,7,2,3]=>[2,6]=>2
[2,8,1,3,4,7,5,6]=>[5,3]=>5
[2,4,1,8,6,3,5,7]=>[3,1,4]=>7
[7,3,1,2,4,5,8,6]=>[1,5,2]=>7
[8,3,1,2,4,7,5,6]=>[1,4,3]=>6
[8,3,1,2,6,4,5,7]=>[1,3,4]=>5
[7,6,1,2,3,4,8,5]=>[1,5,2]=>7
[5,8,1,2,3,7,4,6]=>[5,3]=>5
[8,6,1,2,3,7,4,5]=>[1,4,3]=>6
[5,4,1,2,8,3,6,7]=>[1,3,4]=>5
[8,4,1,2,7,3,5,6]=>[1,3,4]=>5
[7,4,1,2,6,3,8,5]=>[1,3,2,2]=>11
[5,8,1,2,7,3,4,6]=>[4,4]=>4
[8,7,1,2,6,3,4,5]=>[1,3,4]=>5
[5,7,1,2,6,3,8,4]=>[4,2,2]=>10
[5,4,1,2,8,7,3,6]=>[1,3,1,3]=>10
[8,4,1,2,6,7,3,5]=>[1,3,4]=>5
[5,8,1,2,6,7,3,4]=>[4,4]=>4
[5,4,1,2,6,7,8,3]=>[1,3,4]=>5
[4,3,1,6,2,8,5,7]=>[1,2,2,3]=>9
[4,3,1,6,2,7,8,5]=>[1,2,2,3]=>9
[7,3,1,8,2,4,5,6]=>[1,2,5]=>4
[7,3,1,6,2,4,8,5]=>[1,2,3,2]=>10
[8,3,1,5,2,7,4,6]=>[1,2,2,3]=>9
[8,3,1,6,2,7,4,5]=>[1,2,2,3]=>9
[6,3,1,5,2,7,8,4]=>[1,2,2,3]=>9
[7,4,1,5,2,3,8,6]=>[1,2,3,2]=>10
[8,4,1,6,2,3,5,7]=>[1,2,5]=>4
[7,4,1,8,2,3,5,6]=>[1,2,5]=>4
[7,4,1,6,2,3,8,5]=>[1,2,3,2]=>10
[8,7,1,5,2,3,4,6]=>[1,2,5]=>4
[8,7,1,6,2,3,4,5]=>[1,2,5]=>4
[6,7,1,5,2,3,8,4]=>[3,3,2]=>9
[6,4,1,5,2,8,3,7]=>[1,2,2,3]=>9
[8,4,1,5,2,7,3,6]=>[1,2,2,3]=>9
[8,4,1,6,2,7,3,5]=>[1,2,2,3]=>9
[6,8,1,5,2,7,3,4]=>[3,2,3]=>8
[6,4,1,5,2,7,8,3]=>[1,2,2,3]=>9
[4,3,1,8,7,2,5,6]=>[1,2,1,4]=>8
[4,3,1,7,6,2,8,5]=>[1,2,1,2,2]=>14
[8,3,1,5,6,2,4,7]=>[1,2,5]=>4
[8,3,1,5,7,2,4,6]=>[1,2,5]=>4
[8,3,1,7,6,2,4,5]=>[1,2,1,4]=>8
[7,3,1,5,6,2,8,4]=>[1,2,3,2]=>10
[8,4,1,5,7,2,3,6]=>[1,2,5]=>4
[8,4,1,7,6,2,3,5]=>[1,2,1,4]=>8
[7,8,1,5,6,2,3,4]=>[3,5]=>3
[7,4,1,5,6,2,8,3]=>[1,2,3,2]=>10
[4,3,1,5,6,8,2,7]=>[1,2,5]=>4
[4,3,1,5,8,7,2,6]=>[1,2,2,3]=>9
[4,3,1,8,6,7,2,5]=>[1,2,1,4]=>8
[8,3,1,5,6,7,2,4]=>[1,2,5]=>4
[8,4,1,5,6,7,2,3]=>[1,2,5]=>4
[4,3,1,5,6,7,8,2]=>[1,2,5]=>4
[2,3,8,1,6,7,4,5]=>[4,4]=>4
[2,6,4,1,3,8,5,7]=>[2,3,3]=>7
[2,6,4,1,3,7,8,5]=>[2,3,3]=>7
[2,7,5,1,3,4,8,6]=>[2,4,2]=>8
[2,8,7,1,3,4,5,6]=>[2,6]=>2
[2,8,5,1,3,7,4,6]=>[2,3,3]=>7
[2,6,8,1,3,7,4,5]=>[5,3]=>5
[2,6,5,1,3,7,8,4]=>[2,3,3]=>7
[2,8,4,1,6,3,5,7]=>[2,2,4]=>6
[2,8,4,1,7,3,5,6]=>[2,2,4]=>6
[2,7,4,1,6,3,8,5]=>[2,2,2,2]=>12
[2,8,5,1,7,3,4,6]=>[2,2,4]=>6
[2,7,8,1,6,3,4,5]=>[4,4]=>4
[2,7,5,1,6,3,8,4]=>[2,2,2,2]=>12
[2,5,4,1,8,7,3,6]=>[2,2,1,3]=>11
[2,8,4,1,6,7,3,5]=>[2,2,4]=>6
[2,8,5,1,6,7,3,4]=>[2,2,4]=>6
[2,5,4,1,6,7,8,3]=>[2,2,4]=>6
[6,3,4,1,2,7,8,5]=>[1,4,3]=>6
[7,3,5,1,2,4,8,6]=>[1,5,2]=>7
[6,3,7,1,2,4,8,5]=>[1,5,2]=>7
[8,3,5,1,2,7,4,6]=>[1,4,3]=>6
[6,3,8,1,2,7,4,5]=>[1,4,3]=>6
[6,3,5,1,2,7,8,4]=>[1,4,3]=>6
[7,5,4,1,2,3,8,6]=>[1,1,4,2]=>9
[6,7,4,1,2,3,8,5]=>[2,4,2]=>8
[6,8,5,1,2,3,4,7]=>[2,6]=>2
[6,7,5,1,2,3,8,4]=>[2,4,2]=>8
[8,5,4,1,2,7,3,6]=>[1,1,3,3]=>8
[6,8,4,1,2,7,3,5]=>[2,3,3]=>7
[6,8,5,1,2,7,3,4]=>[2,3,3]=>7
[6,5,4,1,2,7,8,3]=>[1,1,3,3]=>8
[8,3,4,1,7,2,5,6]=>[1,3,4]=>5
[7,3,4,1,6,2,8,5]=>[1,3,2,2]=>11
[8,3,5,1,6,2,4,7]=>[1,3,4]=>5
[8,3,5,1,7,2,4,6]=>[1,3,4]=>5
[7,3,8,1,6,2,4,5]=>[1,3,4]=>5
[7,3,5,1,6,2,8,4]=>[1,3,2,2]=>11
[8,5,4,1,6,2,3,7]=>[1,1,2,4]=>7
[8,5,4,1,7,2,3,6]=>[1,1,2,4]=>7
[7,8,4,1,6,2,3,5]=>[2,2,4]=>6
[7,8,5,1,6,2,3,4]=>[2,2,4]=>6
[7,5,4,1,6,2,8,3]=>[1,1,2,2,2]=>13
[5,3,4,1,6,8,2,7]=>[1,3,4]=>5
[5,3,4,1,8,7,2,6]=>[1,3,1,3]=>10
[8,3,4,1,6,7,2,5]=>[1,3,4]=>5
[8,3,5,1,6,7,2,4]=>[1,3,4]=>5
[8,5,4,1,6,7,2,3]=>[1,1,2,4]=>7
[5,3,4,1,6,7,8,2]=>[1,3,4]=>5
[2,3,4,8,1,7,5,6]=>[5,3]=>5
[2,3,7,6,1,4,8,5]=>[3,3,2]=>9
[2,3,8,5,1,7,4,6]=>[3,2,3]=>8
[2,3,8,6,1,7,4,5]=>[3,2,3]=>8
[2,3,6,5,1,7,8,4]=>[3,2,3]=>8
[2,8,4,6,1,3,5,7]=>[2,6]=>2
[2,7,4,8,1,3,5,6]=>[2,6]=>2
[2,7,4,6,1,3,8,5]=>[2,4,2]=>8
[2,8,6,5,1,3,4,7]=>[2,1,5]=>5
[2,7,8,5,1,3,4,6]=>[3,5]=>3
[2,7,8,6,1,3,4,5]=>[3,5]=>3
[2,7,6,5,1,3,8,4]=>[2,1,3,2]=>11
[2,6,4,5,1,8,3,7]=>[2,3,3]=>7
[2,8,4,5,1,7,3,6]=>[2,3,3]=>7
[2,8,4,6,1,7,3,5]=>[2,3,3]=>7
[2,8,6,5,1,7,3,4]=>[2,1,2,3]=>10
[2,6,4,5,1,7,8,3]=>[2,3,3]=>7
[7,3,4,6,1,2,8,5]=>[1,5,2]=>7
[8,3,6,5,1,2,4,7]=>[1,2,5]=>4
[7,3,8,5,1,2,4,6]=>[1,2,5]=>4
[7,3,8,6,1,2,4,5]=>[1,2,5]=>4
[7,3,6,5,1,2,8,4]=>[1,2,3,2]=>10
[7,6,4,5,1,2,8,3]=>[1,1,4,2]=>9
[6,3,4,5,1,8,2,7]=>[1,4,3]=>6
[8,3,4,5,1,7,2,6]=>[1,4,3]=>6
[8,3,4,6,1,7,2,5]=>[1,4,3]=>6
[8,3,6,5,1,7,2,4]=>[1,2,2,3]=>9
[8,6,4,5,1,7,2,3]=>[1,1,3,3]=>8
[6,3,4,5,1,7,8,2]=>[1,4,3]=>6
[2,3,4,8,6,1,5,7]=>[4,4]=>4
[2,3,4,8,7,1,5,6]=>[4,4]=>4
[2,3,4,7,6,1,8,5]=>[4,2,2]=>10
[2,3,8,5,6,1,4,7]=>[3,5]=>3
[2,3,8,5,7,1,4,6]=>[3,5]=>3
[2,3,8,7,6,1,4,5]=>[3,1,4]=>7
[2,3,7,5,6,1,8,4]=>[3,3,2]=>9
[2,8,4,5,6,1,3,7]=>[2,6]=>2
[2,8,4,5,7,1,3,6]=>[2,6]=>2
[2,8,4,7,6,1,3,5]=>[2,2,4]=>6
[2,8,7,5,6,1,3,4]=>[2,1,5]=>5
[2,7,4,5,6,1,8,3]=>[2,4,2]=>8
[8,3,4,5,7,1,2,6]=>[1,7]=>1
[8,3,4,7,6,1,2,5]=>[1,3,4]=>5
[8,3,7,5,6,1,2,4]=>[1,2,5]=>4
[7,3,4,5,6,1,8,2]=>[1,5,2]=>7
[2,3,4,5,8,7,1,6]=>[5,3]=>5
[2,3,4,8,6,7,1,5]=>[4,4]=>4
[2,3,8,5,6,7,1,4]=>[3,5]=>3
[2,8,4,5,6,7,1,3]=>[2,6]=>2
[9,3,1,2,4,5,6,7,8]=>[1,8]=>1
[9,3,8,1,2,4,5,6,7]=>[1,8]=>1
[9,7,8,1,2,3,4,5,6]=>[1,8]=>1
[9,3,4,5,6,7,1,2,8]=>[1,8]=>1
[3,5,2,6,1,4,8,7]=>[3,3,2]=>9
[3,5,2,6,4,1,8,7]=>[3,2,1,2]=>14
[3,5,2,7,4,8,1,6]=>[3,2,3]=>8
[3,5,2,7,4,8,6,1]=>[3,2,2,1]=>15
[4,5,7,2,3,8,6,1]=>[5,2,1]=>12
[4,5,7,2,3,8,1,6]=>[5,3]=>5
[4,5,6,2,3,1,8,7]=>[5,1,2]=>11
[4,5,6,2,1,3,8,7]=>[4,2,2]=>10
[3,5,1,6,4,2,8,7]=>[3,2,1,2]=>14
[4,5,6,1,3,2,8,7]=>[5,1,2]=>11
[4,5,6,3,1,2,8,7]=>[4,2,2]=>10
[4,5,7,3,2,8,1,6]=>[4,1,3]=>9
[4,5,7,3,2,8,6,1]=>[4,1,2,1]=>16
[4,6,7,3,8,2,5,1]=>[4,3,1]=>11
[4,6,7,3,8,2,1,5]=>[4,2,2]=>10
[4,6,7,3,8,1,2,5]=>[4,4]=>4
[4,5,7,3,1,8,2,6]=>[4,1,3]=>9
[4,5,7,1,3,8,2,6]=>[5,3]=>5
[3,5,1,7,4,8,2,6]=>[3,2,3]=>8
[2,1,5,7,4,8,3,6]=>[2,3,3]=>7
[2,1,5,7,4,8,6,3]=>[2,3,2,1]=>14
[3,5,1,7,4,8,6,2]=>[3,2,2,1]=>15
[4,5,7,1,3,8,6,2]=>[5,2,1]=>12
[4,5,7,3,1,8,6,2]=>[4,1,2,1]=>16
[4,6,7,3,8,1,5,2]=>[4,3,1]=>11
[4,6,7,3,8,5,1,2]=>[4,2,2]=>10
[4,6,7,3,8,5,2,1]=>[4,2,1,1]=>17
[5,6,7,8,3,1,4,2]=>[5,2,1]=>12
[5,6,7,8,1,3,4,2]=>[7,1]=>7
[4,6,7,1,8,3,5,2]=>[4,3,1]=>11
[3,6,1,7,8,4,5,2]=>[3,4,1]=>10
[2,1,6,7,8,4,5,3]=>[2,5,1]=>9
[2,1,6,7,8,4,3,5]=>[2,4,2]=>8
[3,6,1,7,8,4,2,5]=>[3,3,2]=>9
[4,6,7,1,8,3,2,5]=>[4,2,2]=>10
[5,6,7,8,1,3,2,4]=>[6,2]=>6
[4,5,7,2,1,8,3,6]=>[4,1,3]=>9
[4,6,7,2,8,1,3,5]=>[4,4]=>4
[4,6,7,2,8,3,1,5]=>[4,2,2]=>10
[4,6,7,2,8,3,5,1]=>[4,3,1]=>11
[3,6,2,7,8,4,5,1]=>[3,4,1]=>10
[3,6,2,7,8,4,1,5]=>[3,3,2]=>9
[3,6,2,7,8,1,4,5]=>[3,5]=>3
[3,5,2,7,1,8,4,6]=>[3,2,3]=>8
[3,4,2,1,7,8,5,6]=>[3,1,4]=>7
[3,4,1,2,7,8,6,5]=>[4,3,1]=>11
[3,5,2,7,1,8,6,4]=>[3,2,2,1]=>15
[3,6,2,7,8,1,5,4]=>[3,4,1]=>10
[3,6,2,7,8,5,1,4]=>[3,3,2]=>9
[3,6,2,7,8,5,4,1]=>[3,3,1,1]=>16
[4,6,7,2,8,5,3,1]=>[4,2,1,1]=>17
[4,6,7,2,8,5,1,3]=>[4,2,2]=>10
[4,6,7,2,8,1,5,3]=>[4,3,1]=>11
[4,5,7,2,1,8,6,3]=>[4,1,2,1]=>16
[4,5,7,1,2,8,6,3]=>[5,2,1]=>12
[3,5,1,7,2,8,6,4]=>[3,2,2,1]=>15
[2,1,5,7,3,8,6,4]=>[2,3,2,1]=>14
[2,1,6,7,8,3,5,4]=>[2,5,1]=>9
[3,6,1,7,8,2,5,4]=>[3,4,1]=>10
[4,6,7,1,8,2,5,3]=>[4,3,1]=>11
[5,6,7,8,1,2,4,3]=>[7,1]=>7
[5,6,7,8,2,1,4,3]=>[5,2,1]=>12
[5,6,7,8,2,4,1,3]=>[6,2]=>6
[5,6,7,8,2,4,3,1]=>[6,1,1]=>13
[5,6,7,8,1,4,2,3]=>[6,2]=>6
[4,6,7,1,8,5,2,3]=>[4,2,2]=>10
[3,6,1,7,8,5,2,4]=>[3,3,2]=>9
[2,1,6,7,8,5,3,4]=>[2,4,2]=>8
[3,6,1,7,8,5,4,2]=>[3,3,1,1]=>16
[4,6,7,1,8,5,3,2]=>[4,2,1,1]=>17
[5,6,7,8,1,4,3,2]=>[6,1,1]=>13
[5,6,7,8,4,1,3,2]=>[5,2,1]=>12
[6,5,8,7,3,4,1,2]=>[1,2,3,2]=>10
[3,6,7,4,5,8,1,2]=>[5,3]=>5
[2,6,7,4,5,1,8,3]=>[5,1,2]=>11
[1,6,7,4,5,2,3,8]=>[1,4,3]=>6
[1,5,4,7,6,2,3,8]=>[1,1,2,4]=>7
[2,5,4,7,6,1,8,3]=>[2,2,2,2]=>12
[3,5,4,7,6,8,1,2]=>[2,2,4]=>6
[4,5,3,7,8,6,1,2]=>[3,3,2]=>9
[5,4,3,8,7,6,1,2]=>[1,2,1,2,2]=>14
[6,4,8,3,7,5,1,2]=>[1,3,2,2]=>11
[6,3,8,4,5,7,1,2]=>[1,4,3]=>6
[5,3,4,8,6,7,1,2]=>[1,3,4]=>5
[4,3,5,6,8,7,1,2]=>[1,4,3]=>6
[3,2,5,6,1,8,7,4]=>[2,3,2,1]=>14
[4,2,5,6,8,1,7,3]=>[2,5,1]=>9
[5,2,4,8,6,1,7,3]=>[2,2,3,1]=>13
[6,2,8,4,5,1,7,3]=>[2,3,2,1]=>14
[7,8,2,4,5,1,6,3]=>[5,2,1]=>12
[7,8,1,4,5,2,3,6]=>[5,3]=>5
[6,1,8,4,5,2,3,7]=>[2,3,3]=>7
[5,1,4,8,6,2,3,7]=>[2,2,4]=>6
[4,1,3,2,8,6,5,7]=>[3,1,2,2]=>13
[5,1,3,8,2,6,4,7]=>[3,3,2]=>9
[6,1,8,3,2,5,4,7]=>[2,2,2,2]=>12
[7,8,1,3,2,5,4,6]=>[4,2,2]=>10
[7,8,2,3,1,5,6,4]=>[4,3,1]=>11
[6,2,8,3,1,5,7,4]=>[2,2,3,1]=>13
[5,2,3,8,1,6,7,4]=>[3,4,1]=>10
[6,3,8,2,1,7,5,4]=>[1,3,1,2,1]=>17
[7,8,3,2,1,6,5,4]=>[3,1,2,1,1]=>20
[7,8,4,2,6,1,5,3]=>[2,2,3,1]=>13
[5,4,2,8,7,1,6,3]=>[1,2,1,3,1]=>15
[4,5,2,7,8,1,6,3]=>[3,4,1]=>10
[2,5,3,7,1,6,8,4]=>[3,3,2]=>9
[1,5,3,7,2,6,4,8]=>[1,2,3,2]=>10
[1,6,7,3,2,5,4,8]=>[1,3,2,2]=>11
[2,6,7,3,1,5,8,4]=>[4,2,2]=>10
[3,6,7,2,1,8,5,4]=>[4,1,2,1]=>16
[7,8,5,6,2,1,4,3]=>[2,3,2,1]=>14
[6,5,8,7,1,2,3,4]=>[1,2,5]=>4
[5,4,1,8,7,2,3,6]=>[1,2,1,4]=>8
[6,4,8,1,7,2,3,5]=>[1,3,4]=>5
[7,8,3,1,2,6,4,5]=>[3,3,2]=>9
[5,3,1,8,2,7,4,6]=>[1,2,2,3]=>9
[4,3,1,2,8,7,5,6]=>[1,3,1,3]=>10
[4,2,1,3,8,5,7,6]=>[2,2,3,1]=>13
[5,2,1,8,3,4,7,6]=>[2,1,4,1]=>12
[6,2,8,1,3,4,7,5]=>[2,5,1]=>9
[7,8,2,1,3,4,6,5]=>[3,4,1]=>10
[4,3,1,2,6,5,8,7]=>[1,3,2,2]=>11
[5,3,1,6,2,4,8,7]=>[1,2,3,2]=>10
[6,3,1,5,2,4,8,7]=>[1,2,3,2]=>10
[7,3,1,5,2,8,4,6]=>[1,2,2,3]=>9
[8,4,5,1,2,7,3,6]=>[1,4,3]=>6
[7,4,5,1,2,8,3,6]=>[1,4,3]=>6
[6,4,5,1,2,3,8,7]=>[1,5,2]=>7
[5,4,6,1,2,3,8,7]=>[1,5,2]=>7
[2,1,6,5,3,4,8,7]=>[2,1,3,2]=>11
[3,6,1,5,2,4,8,7]=>[3,3,2]=>9
[4,6,5,1,2,3,8,7]=>[2,4,2]=>8
[5,6,4,1,2,3,8,7]=>[2,4,2]=>8
[6,5,4,1,2,3,8,7]=>[1,1,4,2]=>9
[7,5,4,1,2,8,3,6]=>[1,1,3,3]=>8
[8,6,4,1,7,2,3,5]=>[1,1,2,4]=>7
[7,6,4,1,8,2,3,5]=>[1,1,2,4]=>7
[6,7,4,1,8,2,3,5]=>[2,2,4]=>6
[5,7,4,1,2,8,3,6]=>[2,3,3]=>7
[4,7,5,1,2,8,3,6]=>[2,3,3]=>7
[3,7,1,5,2,8,4,6]=>[3,2,3]=>8
[2,1,7,5,3,8,4,6]=>[2,1,2,3]=>10
[2,1,8,5,3,7,4,6]=>[2,1,2,3]=>10
[3,8,1,5,2,7,4,6]=>[3,2,3]=>8
[4,8,5,1,2,7,3,6]=>[2,3,3]=>7
[5,8,4,1,2,7,3,6]=>[2,3,3]=>7
[6,8,4,1,7,2,3,5]=>[2,2,4]=>6
[8,7,4,1,6,2,3,5]=>[1,1,2,4]=>7
[5,8,6,7,1,2,3,4]=>[2,6]=>2
[4,8,6,1,7,2,3,5]=>[2,2,4]=>6
[3,8,1,6,7,2,4,5]=>[3,5]=>3
[2,1,8,6,7,3,4,5]=>[2,1,5]=>5
[2,1,7,6,8,3,4,5]=>[2,1,5]=>5
[3,7,1,6,8,2,4,5]=>[3,5]=>3
[4,7,6,1,8,2,3,5]=>[2,2,4]=>6
[5,7,6,8,1,2,3,4]=>[2,6]=>2
[5,4,7,1,2,8,3,6]=>[1,4,3]=>6
[6,4,7,1,8,2,3,5]=>[1,3,4]=>5
[7,4,6,1,8,2,3,5]=>[1,3,4]=>5
[8,4,6,1,7,2,3,5]=>[1,3,4]=>5
[8,3,1,6,7,2,4,5]=>[1,2,5]=>4
[7,3,1,6,8,2,4,5]=>[1,2,5]=>4
[6,3,1,7,8,2,4,5]=>[1,2,5]=>4
[5,3,1,7,2,8,4,6]=>[1,2,2,3]=>9
[4,3,1,2,7,8,5,6]=>[1,3,4]=>5
[2,1,4,3,8,7,5,6]=>[2,2,1,3]=>11
[3,4,1,2,8,7,5,6]=>[4,1,3]=>9
[6,3,1,8,7,2,4,5]=>[1,2,1,4]=>8
[7,3,1,8,6,2,4,5]=>[1,2,1,4]=>8
[8,4,7,1,6,2,3,5]=>[1,3,4]=>5
[7,4,8,1,6,2,3,5]=>[1,3,4]=>5
[5,4,8,1,2,7,3,6]=>[1,4,3]=>6
[4,5,8,1,2,7,3,6]=>[5,3]=>5
[3,5,1,8,2,7,4,6]=>[3,2,3]=>8
[2,1,5,8,3,7,4,6]=>[2,3,3]=>7
[2,1,6,8,7,3,4,5]=>[2,2,4]=>6
[3,6,1,8,7,2,4,5]=>[3,1,4]=>7
[4,6,8,1,7,2,3,5]=>[4,4]=>4
[5,6,8,7,1,2,3,4]=>[3,5]=>3
[7,5,8,6,1,2,3,4]=>[1,2,5]=>4
[8,5,7,6,1,2,3,4]=>[1,2,5]=>4
[5,7,8,6,1,2,3,4]=>[3,5]=>3
[4,7,8,1,6,2,3,5]=>[4,4]=>4
[3,7,1,8,6,2,4,5]=>[3,1,4]=>7
[2,1,7,8,6,3,4,5]=>[2,2,4]=>6
[2,1,8,7,6,3,4,5]=>[2,1,1,4]=>9
[3,8,1,7,6,2,4,5]=>[3,1,4]=>7
[4,8,7,1,6,2,3,5]=>[2,2,4]=>6
[5,8,7,6,1,2,3,4]=>[2,1,5]=>5
[6,8,7,5,1,2,3,4]=>[2,1,5]=>5
[6,4,7,3,8,5,1,2]=>[1,3,2,2]=>11
[6,4,7,3,5,8,1,2]=>[1,4,3]=>6
[6,4,7,2,5,1,8,3]=>[1,4,1,2]=>12
[5,4,2,7,6,1,3,8]=>[1,2,1,4]=>8
[5,4,2,7,6,1,8,3]=>[1,2,1,2,2]=>14
[5,4,3,7,6,8,1,2]=>[1,2,1,4]=>8
[5,4,3,7,8,6,1,2]=>[1,2,3,2]=>10
[6,4,8,3,5,7,1,2]=>[1,4,3]=>6
[5,4,3,8,6,7,1,2]=>[1,2,1,4]=>8
[5,4,3,6,8,7,1,2]=>[1,2,2,3]=>9
[5,4,2,6,7,1,8,3]=>[1,2,3,2]=>10
[5,4,2,6,7,1,3,8]=>[1,2,5]=>4
[5,3,2,6,1,7,4,8]=>[1,2,2,3]=>9
[5,3,2,6,1,7,8,4]=>[1,2,2,3]=>9
[5,3,2,6,1,8,7,4]=>[1,2,2,2,1]=>16
[5,4,2,6,8,1,7,3]=>[1,2,4,1]=>11
[5,4,2,8,6,1,7,3]=>[1,2,1,3,1]=>15
[6,4,8,2,5,1,7,3]=>[1,4,2,1]=>13
[7,8,4,2,5,1,6,3]=>[2,3,2,1]=>14
[7,8,4,2,5,1,3,6]=>[2,3,3]=>7
[5,4,2,8,6,1,3,7]=>[1,2,1,4]=>8
[5,3,2,6,1,8,4,7]=>[1,2,2,3]=>9
[4,3,2,1,6,8,5,7]=>[1,2,1,4]=>8
[4,3,2,1,8,6,5,7]=>[1,2,1,2,2]=>14
[5,3,2,8,1,6,4,7]=>[1,2,3,2]=>10
[6,3,8,2,1,5,4,7]=>[1,3,2,2]=>11
[7,8,3,2,1,5,4,6]=>[3,1,2,2]=>13
[7,8,3,2,1,5,6,4]=>[3,1,3,1]=>14
[6,3,8,2,1,5,7,4]=>[1,3,3,1]=>12
[5,3,2,8,1,6,7,4]=>[1,2,4,1]=>11
[5,4,2,7,8,1,6,3]=>[1,2,4,1]=>11
[5,3,2,7,1,8,6,4]=>[1,2,2,2,1]=>16
[5,3,2,7,1,6,8,4]=>[1,2,3,2]=>10
[5,3,2,7,1,6,4,8]=>[1,2,3,2]=>10
[6,3,7,2,1,5,4,8]=>[1,3,2,2]=>11
[6,3,7,2,1,5,8,4]=>[1,3,2,2]=>11
[6,3,7,2,1,8,5,4]=>[1,3,1,2,1]=>17
[6,4,7,2,8,1,5,3]=>[1,3,3,1]=>12
[6,5,7,8,2,1,4,3]=>[1,4,2,1]=>13
[6,5,8,7,2,1,3,4]=>[1,2,2,3]=>9
[6,3,7,2,1,8,4,5]=>[1,3,1,3]=>10
[6,3,7,2,1,4,8,5]=>[1,3,2,2]=>11
[6,3,7,2,1,4,5,8]=>[1,3,4]=>5
[5,3,2,7,1,4,8,6]=>[1,2,3,2]=>10
[5,4,2,8,7,1,3,6]=>[1,2,1,4]=>8
[7,8,4,2,6,1,3,5]=>[2,2,4]=>6
[7,8,3,2,1,6,4,5]=>[3,1,2,2]=>13
[6,3,8,2,1,7,4,5]=>[1,3,1,3]=>10
[5,3,2,8,1,7,4,6]=>[1,2,2,3]=>9
[4,3,2,1,8,7,5,6]=>[1,2,1,1,3]=>13
[4,3,2,1,7,5,8,6]=>[1,2,1,2,2]=>14
[4,3,2,1,7,5,6,8]=>[1,2,1,4]=>8
[4,3,2,1,8,5,7,6]=>[1,2,1,3,1]=>15
[5,3,2,8,1,4,7,6]=>[1,2,4,1]=>11
[6,3,8,2,1,4,7,5]=>[1,3,3,1]=>12
[7,8,3,2,1,4,6,5]=>[3,1,3,1]=>14
[6,3,8,2,1,4,5,7]=>[1,3,4]=>5
[4,3,2,1,8,5,6,7]=>[1,2,1,4]=>8
[4,3,2,1,5,8,6,7]=>[1,2,2,3]=>9
[7,8,5,6,1,2,4,3]=>[2,5,1]=>9
[7,8,4,1,6,2,5,3]=>[2,2,3,1]=>13
[7,8,1,4,6,2,5,3]=>[4,3,1]=>11
[6,1,8,4,7,2,5,3]=>[2,2,3,1]=>13
[1,6,8,4,7,2,5,3]=>[1,3,3,1]=>12
[1,6,8,3,2,7,5,4]=>[1,3,1,2,1]=>17
[6,1,8,3,2,7,5,4]=>[2,2,1,2,1]=>18
[7,8,1,3,2,6,5,4]=>[4,2,1,1]=>17
[7,8,3,1,2,6,5,4]=>[3,3,1,1]=>16
[7,8,3,4,6,5,1,2]=>[4,2,2]=>10
[7,8,2,4,6,1,5,3]=>[4,3,1]=>11
[7,8,2,3,1,6,5,4]=>[4,2,1,1]=>17
[7,8,2,1,3,6,5,4]=>[3,3,1,1]=>16
[7,8,1,2,3,6,5,4]=>[6,1,1]=>13
[6,1,8,2,3,7,5,4]=>[2,3,2,1]=>14
[1,6,8,2,3,7,5,4]=>[1,4,2,1]=>13
[1,5,2,8,3,7,6,4]=>[1,2,2,2,1]=>16
[5,1,2,8,3,7,6,4]=>[3,2,2,1]=>15
[5,2,1,8,3,7,6,4]=>[2,1,2,2,1]=>17
[6,2,8,1,3,7,5,4]=>[2,3,2,1]=>14
[6,2,8,3,1,7,5,4]=>[2,2,1,2,1]=>18
[6,2,8,4,7,1,5,3]=>[2,2,3,1]=>13
[6,3,8,4,7,5,1,2]=>[1,3,2,2]=>11
[3,6,8,4,7,5,1,2]=>[4,2,2]=>10
[2,6,8,4,7,1,5,3]=>[4,3,1]=>11
[2,6,8,3,1,7,5,4]=>[4,1,2,1]=>16
[2,6,8,1,3,7,5,4]=>[5,2,1]=>12
[2,5,1,8,3,7,6,4]=>[3,2,2,1]=>15
[1,2,5,8,3,7,6,4]=>[2,3,2,1]=>14
[2,4,1,3,8,7,6,5]=>[4,1,2,1]=>16
[2,5,3,8,1,7,6,4]=>[3,2,2,1]=>15
[2,5,4,8,7,1,6,3]=>[2,2,3,1]=>13
[3,5,4,8,7,6,1,2]=>[2,2,2,2]=>12
[5,3,4,8,7,6,1,2]=>[1,3,2,2]=>11
[5,2,4,8,7,1,6,3]=>[2,2,3,1]=>13
[5,2,3,8,1,7,6,4]=>[3,2,2,1]=>15
[4,2,1,3,8,7,6,5]=>[2,2,1,2,1]=>18
[4,1,2,3,8,7,6,5]=>[4,1,2,1]=>16
[1,4,2,3,8,7,6,5]=>[1,3,1,2,1]=>17
[4,1,3,2,8,7,6,5]=>[3,1,1,2,1]=>19
[4,3,1,2,8,7,6,5]=>[1,3,1,2,1]=>17
[6,3,8,1,2,7,5,4]=>[1,4,2,1]=>13
[5,3,1,8,2,7,6,4]=>[1,2,2,2,1]=>16
[5,1,3,8,2,7,6,4]=>[3,2,2,1]=>15
[1,5,3,8,2,7,6,4]=>[1,2,2,2,1]=>16
[1,5,4,8,7,2,6,3]=>[1,1,2,3,1]=>14
[5,1,4,8,7,2,6,3]=>[2,2,3,1]=>13
[5,4,1,8,7,2,6,3]=>[1,2,1,3,1]=>15
[6,4,8,1,7,2,5,3]=>[1,3,3,1]=>12
[6,5,8,7,1,2,4,3]=>[1,2,4,1]=>11
[5,6,8,7,3,4,1,2]=>[3,3,2]=>9
[5,6,8,7,2,1,4,3]=>[3,2,2,1]=>15
[4,5,1,8,7,2,6,3]=>[3,1,3,1]=>14
[4,1,5,8,7,2,6,3]=>[2,2,3,1]=>13
[1,4,5,8,7,2,6,3]=>[1,3,3,1]=>12
[1,3,5,8,2,7,6,4]=>[1,4,2,1]=>13
[3,1,5,8,2,7,6,4]=>[2,3,2,1]=>14
[3,6,8,1,2,7,5,4]=>[5,2,1]=>12
[3,6,8,2,1,7,5,4]=>[4,1,2,1]=>16
[4,6,8,2,7,1,5,3]=>[4,3,1]=>11
[4,6,8,3,7,5,1,2]=>[4,2,2]=>10
[4,5,3,8,7,6,1,2]=>[3,1,2,2]=>13
[4,5,2,8,7,1,6,3]=>[3,1,3,1]=>14
[3,5,2,8,1,7,6,4]=>[3,2,2,1]=>15
[3,1,4,2,8,7,6,5]=>[2,2,1,2,1]=>18
[3,1,2,4,8,7,6,5]=>[4,1,2,1]=>16
[3,2,5,8,1,7,6,4]=>[2,3,2,1]=>14
[4,2,5,8,7,1,6,3]=>[2,2,3,1]=>13
[4,3,5,8,7,6,1,2]=>[1,3,2,2]=>11
[3,4,5,8,7,6,1,2]=>[4,2,2]=>10
[2,4,5,8,7,1,6,3]=>[4,3,1]=>11
[2,3,5,8,1,7,6,4]=>[5,2,1]=>12
[4,1,3,2,6,5,8,7]=>[3,1,2,2]=>13
[5,1,3,2,6,4,8,7]=>[3,1,2,2]=>13
[6,1,3,2,5,4,8,7]=>[3,2,1,2]=>14
[7,1,3,2,5,4,8,6]=>[3,2,1,2]=>14
[8,1,3,2,5,4,7,6]=>[3,2,2,1]=>15
[8,1,4,2,5,3,7,6]=>[2,3,2,1]=>14
[7,1,4,2,5,3,8,6]=>[2,3,1,2]=>13
[6,1,4,2,5,3,8,7]=>[2,3,1,2]=>13
[5,1,4,2,6,3,8,7]=>[2,2,2,2]=>12
[2,1,6,3,5,4,8,7]=>[2,3,1,2]=>13
[3,1,6,2,5,4,8,7]=>[2,3,1,2]=>13
[4,1,6,2,5,3,8,7]=>[2,3,1,2]=>13
[6,2,5,1,4,3,8,7]=>[2,3,1,2]=>13
[5,2,6,1,4,3,8,7]=>[2,3,1,2]=>13
[5,2,7,1,4,3,8,6]=>[2,3,1,2]=>13
[5,2,8,1,4,3,7,6]=>[2,3,2,1]=>14
[6,2,8,1,4,3,7,5]=>[2,3,2,1]=>14
[6,2,7,1,4,3,8,5]=>[2,3,1,2]=>13
[7,2,6,1,4,3,8,5]=>[2,3,1,2]=>13
[7,2,5,1,4,3,8,6]=>[2,3,1,2]=>13
[4,1,7,2,5,3,8,6]=>[2,3,1,2]=>13
[3,1,7,2,5,4,8,6]=>[2,3,1,2]=>13
[2,1,7,3,5,4,8,6]=>[2,3,1,2]=>13
[2,1,8,3,5,4,7,6]=>[2,3,2,1]=>14
[3,1,8,2,5,4,7,6]=>[2,3,2,1]=>14
[4,1,8,2,5,3,7,6]=>[2,3,2,1]=>14
[8,2,5,1,4,3,7,6]=>[2,3,2,1]=>14
[8,2,6,1,4,3,7,5]=>[2,3,2,1]=>14
[7,1,4,3,8,2,6,5]=>[2,2,3,1]=>13
[8,1,4,3,7,2,6,5]=>[2,2,3,1]=>13
[8,1,5,3,7,2,6,4]=>[2,2,3,1]=>13
[7,1,5,3,8,2,6,4]=>[2,2,3,1]=>13
[8,2,6,1,5,3,7,4]=>[2,3,2,1]=>14
[5,1,8,2,6,3,7,4]=>[2,2,3,1]=>13
[4,1,8,2,6,3,7,5]=>[2,2,3,1]=>13
[3,1,8,2,6,4,7,5]=>[2,2,3,1]=>13
[2,1,8,3,6,4,7,5]=>[2,2,3,1]=>13
[2,1,7,3,6,4,8,5]=>[2,2,2,2]=>12
[4,1,7,2,6,3,8,5]=>[2,2,2,2]=>12
[5,1,7,2,6,3,8,4]=>[2,2,2,2]=>12
[7,2,6,1,5,3,8,4]=>[2,3,1,2]=>13
[6,2,7,1,5,3,8,4]=>[2,3,1,2]=>13
[6,2,8,1,5,3,7,4]=>[2,3,2,1]=>14
[8,1,5,2,6,3,7,4]=>[2,2,3,1]=>13
[6,1,5,2,7,3,8,4]=>[2,2,2,2]=>12
[6,1,4,2,7,3,8,5]=>[2,2,2,2]=>12
[8,1,4,2,6,3,7,5]=>[2,2,3,1]=>13
[8,1,3,2,6,4,7,5]=>[3,1,3,1]=>14
[7,1,3,2,6,4,8,5]=>[3,1,2,2]=>13
[6,1,3,2,7,4,8,5]=>[3,1,2,2]=>13
[5,1,3,2,7,4,8,6]=>[3,1,2,2]=>13
[4,1,3,2,7,5,8,6]=>[3,1,2,2]=>13
[2,1,4,3,8,5,7,6]=>[2,2,3,1]=>13
[3,1,4,2,8,5,7,6]=>[2,2,3,1]=>13
[4,1,3,2,8,5,7,6]=>[3,1,3,1]=>14
[5,1,3,2,8,4,7,6]=>[3,1,3,1]=>14
[6,1,3,2,8,4,7,5]=>[3,1,3,1]=>14
[8,4,7,1,3,2,6,5]=>[1,4,2,1]=>13
[7,4,8,1,3,2,6,5]=>[1,4,2,1]=>13
[7,3,8,1,4,2,6,5]=>[1,4,2,1]=>13
[8,3,7,1,4,2,6,5]=>[1,4,2,1]=>13
[6,1,4,2,8,3,7,5]=>[2,2,3,1]=>13
[5,1,4,2,8,3,7,6]=>[2,2,3,1]=>13
[4,1,5,2,8,3,7,6]=>[2,2,3,1]=>13
[3,1,5,2,8,4,7,6]=>[2,2,3,1]=>13
[2,1,5,3,8,4,7,6]=>[2,2,3,1]=>13
[2,1,6,3,8,4,7,5]=>[2,2,3,1]=>13
[3,1,6,2,8,4,7,5]=>[2,2,3,1]=>13
[4,1,6,2,8,3,7,5]=>[2,2,3,1]=>13
[5,1,6,2,8,3,7,4]=>[2,2,3,1]=>13
[6,1,5,2,8,3,7,4]=>[2,2,3,1]=>13
[8,3,7,1,5,2,6,4]=>[1,4,2,1]=>13
[7,3,8,1,5,2,6,4]=>[1,4,2,1]=>13
[6,2,7,3,8,1,5,4]=>[2,2,3,1]=>13
[6,2,8,3,7,1,5,4]=>[2,2,3,1]=>13
[8,3,7,2,6,1,5,4]=>[1,3,3,1]=>12
[5,1,8,3,7,2,6,4]=>[2,2,3,1]=>13
[4,1,8,3,7,2,6,5]=>[2,2,3,1]=>13
[3,1,8,4,7,2,6,5]=>[2,2,3,1]=>13
[2,1,8,4,7,3,6,5]=>[2,2,3,1]=>13
[2,1,7,4,8,3,6,5]=>[2,2,3,1]=>13
[3,1,7,4,8,2,6,5]=>[2,2,3,1]=>13
[4,1,7,3,8,2,6,5]=>[2,2,3,1]=>13
[5,1,7,3,8,2,6,4]=>[2,2,3,1]=>13
[7,3,8,2,6,1,5,4]=>[1,3,3,1]=>12
[8,2,6,3,7,1,5,4]=>[2,2,3,1]=>13
[7,2,6,3,8,1,5,4]=>[2,2,3,1]=>13
[3,4,2,6,8,1,5,7]=>[3,5]=>3
[5,3,6,2,8,1,4,7]=>[1,3,4]=>5
[5,3,6,2,4,8,1,7]=>[1,4,3]=>6
[5,7,3,8,2,4,1,6]=>[3,3,2]=>9
[5,7,3,8,2,4,6,1]=>[3,4,1]=>10
[7,4,2,5,8,3,6,1]=>[1,2,4,1]=>11
[7,4,2,5,8,3,1,6]=>[1,2,3,2]=>10
[4,5,2,6,3,8,1,7]=>[3,2,3]=>8
[4,5,2,1,6,8,3,7]=>[3,1,4]=>7
[5,3,1,6,8,2,4,7]=>[1,2,5]=>4
[5,6,2,8,1,3,4,7]=>[3,5]=>3
[3,5,6,1,4,8,2,7]=>[5,3]=>5
[4,1,5,6,3,8,2,7]=>[2,3,3]=>7
[4,5,1,6,3,8,2,7]=>[3,2,3]=>8
[4,5,6,3,2,8,1,7]=>[4,1,3]=>9
[7,4,5,3,8,2,1,6]=>[1,3,2,2]=>11
[7,4,5,3,8,2,6,1]=>[1,3,3,1]=>12
[6,7,4,8,3,2,5,1]=>[2,3,2,1]=>14
[6,7,4,8,3,2,1,5]=>[2,3,1,2]=>13
[6,7,4,1,8,3,2,5]=>[2,2,2,2]=>12
[7,4,5,3,1,8,2,6]=>[1,3,1,3]=>10
[4,7,1,5,8,3,2,6]=>[3,3,2]=>9
[5,3,7,8,1,4,2,6]=>[1,5,2]=>7
[7,5,8,2,4,6,1,3]=>[1,5,2]=>7
[7,3,5,8,1,4,6,2]=>[1,6,1]=>8
[4,5,1,7,8,3,6,2]=>[3,4,1]=>10
[7,4,1,5,8,3,6,2]=>[1,2,4,1]=>11
[6,7,4,3,8,1,5,2]=>[2,2,3,1]=>13
[6,7,4,8,3,1,5,2]=>[2,3,2,1]=>14
[6,7,4,8,3,5,2,1]=>[2,4,1,1]=>15
[5,6,7,3,8,4,2,1]=>[4,2,1,1]=>17
[5,6,7,3,1,8,4,2]=>[4,1,2,1]=>16
[5,6,1,7,3,8,4,2]=>[3,2,2,1]=>15
[5,1,6,7,3,8,4,2]=>[2,3,2,1]=>14
[6,4,7,1,8,3,5,2]=>[1,3,3,1]=>12
[6,7,8,3,1,4,5,2]=>[4,3,1]=>11
[6,7,2,8,4,5,1,3]=>[3,3,2]=>9
[6,7,2,8,4,1,3,5]=>[3,2,3]=>8
[6,1,7,4,8,3,2,5]=>[2,2,2,2]=>12
[5,1,6,7,3,2,8,4]=>[2,3,1,2]=>13
[5,6,1,7,3,2,8,4]=>[3,2,1,2]=>14
[5,6,7,3,2,1,8,4]=>[4,1,1,2]=>15
[5,6,7,3,2,8,4,1]=>[4,1,2,1]=>16
[5,6,2,7,3,8,4,1]=>[3,2,2,1]=>15
[5,6,2,7,3,1,8,4]=>[3,2,1,2]=>14
[5,6,2,1,7,3,8,4]=>[3,1,2,2]=>13
[6,1,7,4,2,8,3,5]=>[2,2,1,3]=>11
[6,7,2,1,8,3,4,5]=>[3,1,4]=>7
[7,5,8,2,1,3,4,6]=>[1,3,4]=>5
[5,7,3,1,8,2,4,6]=>[3,1,4]=>7
[4,7,1,5,2,8,3,6]=>[3,2,3]=>8
[7,4,2,5,1,8,3,6]=>[1,2,2,3]=>9
[6,7,4,2,1,8,3,5]=>[2,2,1,3]=>11
[6,7,4,2,8,3,1,5]=>[2,2,2,2]=>12
[6,7,4,2,8,3,5,1]=>[2,2,3,1]=>13
[3,6,7,2,8,4,5,1]=>[4,3,1]=>11
[3,6,7,2,8,4,1,5]=>[4,2,2]=>10
[3,6,7,2,1,8,4,5]=>[4,1,3]=>9
[5,7,3,8,2,1,4,6]=>[3,2,3]=>8
[3,4,7,8,2,1,5,6]=>[5,3]=>5
[3,7,8,1,4,6,2,5]=>[6,2]=>6
[3,4,7,8,2,6,1,5]=>[6,2]=>6
[5,7,3,8,2,6,1,4]=>[3,3,2]=>9
[3,6,7,2,8,5,1,4]=>[4,2,2]=>10
[3,6,7,8,5,2,1,4]=>[5,1,2]=>11
[3,6,7,8,5,2,4,1]=>[5,2,1]=>12
[6,4,7,8,2,5,3,1]=>[1,5,1,1]=>14
[6,4,7,8,2,1,5,3]=>[1,4,2,1]=>13
[4,1,5,7,8,2,6,3]=>[2,5,1]=>9
[5,3,7,8,1,6,2,4]=>[1,5,2]=>7
[6,7,2,8,5,1,3,4]=>[3,2,3]=>8
[6,4,1,7,8,2,5,3]=>[1,2,4,1]=>11
[5,1,6,2,7,8,4,3]=>[2,2,3,1]=>13
[5,6,2,1,7,8,4,3]=>[3,1,3,1]=>14
[5,6,2,7,1,8,4,3]=>[3,2,2,1]=>15
[5,6,2,7,8,4,3,1]=>[3,3,1,1]=>16
[5,6,7,2,8,4,3,1]=>[4,2,1,1]=>17
[5,6,7,2,1,8,4,3]=>[4,1,2,1]=>16
[5,6,1,7,2,8,4,3]=>[3,2,2,1]=>15
[5,1,6,7,2,8,4,3]=>[2,3,2,1]=>14
[6,4,7,1,8,2,5,3]=>[1,3,3,1]=>12
[3,6,7,1,8,5,2,4]=>[4,2,2]=>10
[6,7,8,5,2,4,1,3]=>[3,3,2]=>9
[6,7,8,3,5,1,4,2]=>[5,2,1]=>12
[4,6,7,8,1,5,3,2]=>[6,1,1]=>13
[5,1,6,7,8,4,3,2]=>[2,4,1,1]=>15
[5,6,1,7,8,4,3,2]=>[3,3,1,1]=>16
[5,6,7,1,8,4,3,2]=>[4,2,1,1]=>17
[8,6,1,3,4,2,5,7]=>[1,4,3]=>6
[8,3,2,5,1,6,4,7]=>[1,2,3,2]=>10
[8,5,3,6,2,4,1,7]=>[1,2,3,2]=>10
[5,3,2,7,4,1,8,6]=>[1,2,2,1,2]=>15
[7,5,3,8,2,4,6,1]=>[1,2,4,1]=>11
[7,2,4,5,8,3,6,1]=>[2,5,1]=>9
[2,4,5,3,7,1,8,6]=>[4,2,2]=>10
[8,2,4,5,6,3,1,7]=>[2,4,2]=>8
[8,2,4,5,6,1,3,7]=>[2,6]=>2
[8,1,2,4,5,6,3,7]=>[6,2]=>6
[8,2,5,1,3,6,4,7]=>[2,4,2]=>8
[8,5,6,2,1,4,3,7]=>[1,3,2,2]=>11
[8,5,3,6,4,1,2,7]=>[1,2,2,3]=>9
[8,4,1,5,6,3,2,7]=>[1,2,3,2]=>10
[8,1,4,5,6,3,2,7]=>[2,4,2]=>8
[4,5,3,7,2,1,8,6]=>[3,2,1,2]=>14
[7,4,5,8,3,2,6,1]=>[1,4,2,1]=>13
[4,3,6,7,2,8,5,1]=>[1,4,2,1]=>13
[4,3,6,7,2,8,1,5]=>[1,4,3]=>6
[1,4,3,6,7,2,8,5]=>[1,2,3,2]=>10
[4,5,3,7,1,8,2,6]=>[3,2,3]=>8
[4,1,5,3,7,2,8,6]=>[2,2,2,2]=>12
[5,3,4,7,1,2,8,6]=>[1,5,2]=>7
[7,5,8,2,1,4,6,3]=>[1,3,3,1]=>12
[7,5,3,8,4,1,6,2]=>[1,2,2,2,1]=>16
[7,4,5,8,3,6,1,2]=>[1,5,2]=>7
[4,3,6,7,8,1,5,2]=>[1,6,1]=>8
[1,6,4,7,8,3,5,2]=>[1,1,5,1]=>10
[6,4,7,8,3,5,2,1]=>[1,5,1,1]=>14
[3,5,6,7,8,4,1,2]=>[6,2]=>6
[3,1,5,6,7,8,4,2]=>[2,5,1]=>9
[4,6,1,7,8,3,5,2]=>[3,4,1]=>10
[3,6,7,1,4,8,5,2]=>[5,2,1]=>12
[6,2,4,1,7,8,5,3]=>[2,2,3,1]=>13
[2,6,7,1,4,8,3,5]=>[5,3]=>5
[4,3,6,7,8,1,2,5]=>[1,7]=>1
[1,5,3,6,7,8,2,4]=>[1,2,5]=>4
[3,5,6,7,8,2,1,4]=>[6,2]=>6
[3,5,6,7,8,2,4,1]=>[7,1]=>7
[5,2,7,1,3,8,4,6]=>[2,3,3]=>7
[5,3,1,7,8,2,4,6]=>[1,2,5]=>4
[4,5,2,7,8,1,3,6]=>[3,5]=>3
[4,2,6,7,8,3,1,5]=>[2,4,2]=>8
[4,2,6,7,8,3,5,1]=>[2,5,1]=>9
[3,6,2,7,4,8,5,1]=>[3,2,2,1]=>15
[3,6,2,7,4,8,1,5]=>[3,2,3]=>8
[3,2,1,6,4,7,8,5]=>[2,1,2,3]=>10
[3,7,4,2,1,5,8,6]=>[2,2,2,2]=>12
[1,7,3,4,2,5,8,6]=>[1,3,2,2]=>11
[4,7,2,1,3,5,8,6]=>[3,3,2]=>9
[7,8,4,2,1,3,6,5]=>[2,2,3,1]=>13
[7,8,1,3,4,2,6,5]=>[5,2,1]=>12
[7,8,3,4,2,1,6,5]=>[4,1,2,1]=>16
[6,3,2,7,1,8,5,4]=>[1,2,2,2,1]=>16
[3,6,2,7,1,8,5,4]=>[3,2,2,1]=>15
[6,7,3,8,2,5,4,1]=>[3,3,1,1]=>16
[6,4,7,8,5,2,3,1]=>[1,4,2,1]=>13
[2,6,4,7,8,1,5,3]=>[2,5,1]=>9
[4,6,2,7,8,1,5,3]=>[3,4,1]=>10
[7,4,5,8,6,2,1,3]=>[1,3,2,2]=>11
[7,4,1,5,8,6,2,3]=>[1,2,3,2]=>10
[7,5,3,8,6,1,2,4]=>[1,2,1,4]=>8
[7,5,8,2,1,6,3,4]=>[1,3,2,2]=>11
[6,2,7,1,3,8,5,4]=>[2,3,2,1]=>14
[6,3,1,7,8,2,5,4]=>[1,2,4,1]=>11
[4,6,1,7,8,5,2,3]=>[3,3,2]=>9
[5,1,2,6,7,8,4,3]=>[3,4,1]=>10
[5,2,6,7,8,4,1,3]=>[2,4,2]=>8
[5,2,6,7,8,4,3,1]=>[2,4,1,1]=>15
[2,5,6,7,8,4,1,3]=>[6,2]=>6
[1,5,2,6,7,8,4,3]=>[1,2,4,1]=>11
[1,6,4,7,8,5,2,3]=>[1,1,4,2]=>9
[2,6,7,1,3,8,5,4]=>[5,2,1]=>12
[6,7,8,2,1,5,4,3]=>[4,2,1,1]=>17
[6,7,3,8,5,1,4,2]=>[3,2,2,1]=>15
[6,4,7,8,5,3,1,2]=>[1,4,1,2]=>12
[4,5,2,3,7,6,1,8]=>[4,2,2]=>10
[6,4,3,7,2,5,1,8]=>[1,2,3,2]=>10
[8,4,3,6,5,1,2,7]=>[1,2,2,3]=>9
[1,5,6,3,4,8,7,2]=>[1,4,2,1]=>13
[4,6,2,7,3,5,1,8]=>[3,3,2]=>9
[3,2,6,7,4,5,1,8]=>[2,4,2]=>8
[4,7,2,6,5,3,1,8]=>[3,2,1,2]=>14
[5,7,6,2,4,3,1,8]=>[2,3,1,2]=>13
[1,7,5,4,8,3,6,2]=>[1,1,2,3,1]=>14
[8,7,5,4,1,3,2,6]=>[1,1,2,2,2]=>13
[6,8,5,4,2,1,3,7]=>[2,2,1,3]=>11
[5,8,6,2,4,1,3,7]=>[2,3,3]=>7
[4,8,2,6,5,1,3,7]=>[3,2,3]=>8
[3,2,8,6,5,1,4,7]=>[2,1,2,3]=>10
[4,1,2,6,5,8,7,3]=>[3,2,2,1]=>15
[5,1,6,2,4,8,7,3]=>[2,3,2,1]=>14
[6,1,5,4,2,8,7,3]=>[2,2,1,2,1]=>18
[7,1,5,4,8,2,6,3]=>[2,2,3,1]=>13
[8,1,5,4,7,6,2,3]=>[2,2,2,2]=>12
[1,8,6,7,4,5,3,2]=>[1,1,4,1,1]=>16
[8,1,6,7,4,5,2,3]=>[2,4,2]=>8
[7,1,6,8,4,2,5,3]=>[2,3,2,1]=>14
[6,1,7,8,2,4,5,3]=>[2,5,1]=>9
[5,1,7,2,8,4,6,3]=>[2,2,3,1]=>13
[4,1,2,7,8,5,6,3]=>[3,4,1]=>10
[3,2,1,7,8,5,6,4]=>[2,1,4,1]=>12
[3,2,8,7,1,5,4,6]=>[2,1,3,2]=>11
[4,8,2,7,1,5,3,6]=>[3,3,2]=>9
[5,8,7,2,1,4,3,6]=>[2,2,2,2]=>12
[6,8,7,1,2,4,3,5]=>[2,4,2]=>8
[7,8,6,1,4,2,3,5]=>[2,3,3]=>7
[8,7,6,1,4,3,2,5]=>[1,1,3,1,2]=>14
[1,7,6,8,4,3,5,2]=>[1,1,3,2,1]=>15
[1,6,7,8,3,4,5,2]=>[1,6,1]=>8
[8,6,7,1,3,4,2,5]=>[1,5,2]=>7
[7,6,8,1,3,2,4,5]=>[1,4,3]=>6
[5,7,8,2,1,3,4,6]=>[4,4]=>4
[4,7,2,8,1,3,5,6]=>[3,5]=>3
[3,2,6,8,4,1,5,7]=>[2,3,3]=>7
[4,6,2,8,3,1,5,7]=>[3,2,3]=>8
[5,6,8,2,3,1,4,7]=>[5,3]=>5
[6,5,8,3,2,1,4,7]=>[1,3,1,3]=>10
[7,5,8,3,1,2,4,6]=>[1,3,4]=>5
[8,5,7,3,1,4,2,6]=>[1,3,2,2]=>11
[1,5,7,3,8,4,6,2]=>[1,3,3,1]=>12
[1,4,3,7,8,5,6,2]=>[1,2,4,1]=>11
[8,4,3,7,1,5,2,6]=>[1,2,3,2]=>10
[6,4,3,8,2,1,5,7]=>[1,2,2,3]=>9
[4,5,2,3,8,1,6,7]=>[4,4]=>4
[3,2,5,4,8,1,6,7]=>[2,2,4]=>6
[4,5,2,3,1,8,7,6]=>[4,1,2,1]=>16
[6,4,3,1,2,8,7,5]=>[1,2,2,2,1]=>16
[7,4,3,1,8,2,6,5]=>[1,2,1,3,1]=>15
[8,4,3,1,7,6,2,5]=>[1,2,1,2,2]=>14
[1,5,8,3,7,6,4,2]=>[1,3,2,1,1]=>18
[8,5,1,3,7,6,2,4]=>[1,3,2,2]=>11
[7,5,1,3,8,2,6,4]=>[1,3,3,1]=>12
[6,5,1,3,2,8,7,4]=>[1,3,1,2,1]=>17
[5,6,1,2,3,8,7,4]=>[5,2,1]=>12
[4,6,2,1,3,8,7,5]=>[3,2,2,1]=>15
[3,2,6,1,4,8,7,5]=>[2,3,2,1]=>14
[3,2,7,1,8,4,6,5]=>[2,2,3,1]=>13
[4,7,2,1,8,3,6,5]=>[3,1,3,1]=>14
[5,7,1,2,8,3,6,4]=>[4,3,1]=>11
[6,7,1,8,2,3,5,4]=>[3,4,1]=>10
[7,6,1,8,3,2,5,4]=>[1,2,2,2,1]=>16
[8,6,1,7,3,5,2,4]=>[1,2,3,2]=>10
[1,6,8,7,3,5,4,2]=>[1,2,3,1,1]=>17
[1,7,8,6,5,3,4,2]=>[1,2,2,2,1]=>16
[8,7,1,6,5,3,2,4]=>[1,2,2,1,2]=>15
[7,8,1,6,5,2,3,4]=>[3,2,3]=>8
[6,8,1,7,2,5,3,4]=>[3,3,2]=>9
[5,8,1,2,7,6,3,4]=>[4,2,2]=>10
[4,8,2,1,7,6,3,5]=>[3,1,2,2]=>13
[3,2,8,1,7,6,4,5]=>[2,2,2,2]=>12
[4,1,2,8,7,6,5,3]=>[3,1,2,1,1]=>20
[5,1,8,2,7,6,4,3]=>[2,2,2,1,1]=>19
[6,1,8,7,2,5,4,3]=>[2,1,3,1,1]=>18
[7,1,8,6,5,2,4,3]=>[2,1,2,2,1]=>17
[8,1,7,6,5,4,2,3]=>[2,1,2,1,2]=>16
[3,1,2,6,5,8,7,4]=>[3,2,2,1]=>15
[3,1,6,2,4,8,7,5]=>[2,3,2,1]=>14
[3,1,5,2,4,8,7,6]=>[2,3,2,1]=>14
[4,5,1,2,3,8,7,6]=>[5,2,1]=>12
[4,6,1,2,3,8,7,5]=>[5,2,1]=>12
[1,6,5,3,4,8,7,2]=>[1,1,3,2,1]=>15
[6,1,5,2,4,8,7,3]=>[2,3,2,1]=>14
[6,5,1,2,3,8,7,4]=>[1,4,2,1]=>13
[6,4,1,2,3,8,7,5]=>[1,4,2,1]=>13
[5,4,1,2,3,8,7,6]=>[1,4,2,1]=>13
[5,4,1,2,7,3,6,8]=>[1,3,4]=>5
[6,4,1,7,2,3,5,8]=>[1,2,5]=>4
[6,4,1,8,2,3,5,7]=>[1,2,5]=>4
[7,4,1,2,8,3,6,5]=>[1,3,3,1]=>12
[7,5,1,2,8,3,6,4]=>[1,3,3,1]=>12
[7,1,5,2,8,4,6,3]=>[2,2,3,1]=>13
[1,7,5,3,8,4,6,2]=>[1,1,2,3,1]=>14
[1,8,5,3,7,4,6,2]=>[1,1,2,3,1]=>14
[8,1,5,2,7,4,6,3]=>[2,2,3,1]=>13
[8,5,1,2,7,3,6,4]=>[1,3,3,1]=>12
[8,4,1,2,7,3,6,5]=>[1,3,3,1]=>12
[8,4,1,7,2,3,5,6]=>[1,2,5]=>4
[7,4,1,6,2,3,5,8]=>[1,2,5]=>4
[8,6,1,7,2,3,5,4]=>[1,2,4,1]=>11
[8,1,6,7,2,4,5,3]=>[2,5,1]=>9
[1,8,6,7,3,4,5,2]=>[1,1,5,1]=>10
[1,7,6,8,3,4,5,2]=>[1,1,5,1]=>10
[7,1,6,8,2,4,5,3]=>[2,5,1]=>9
[7,6,1,8,2,3,5,4]=>[1,2,4,1]=>11
[4,7,1,2,8,3,6,5]=>[4,3,1]=>11
[3,1,7,2,8,4,6,5]=>[2,2,3,1]=>13
[3,1,2,7,8,5,6,4]=>[3,4,1]=>10
[1,4,3,8,7,5,6,2]=>[1,2,1,3,1]=>15
[4,1,2,8,7,5,6,3]=>[3,1,3,1]=>14
[3,1,2,8,7,5,6,4]=>[3,1,3,1]=>14
[3,1,8,2,7,4,6,5]=>[2,2,3,1]=>13
[3,1,8,7,2,4,5,6]=>[2,1,5]=>5
[3,1,7,6,2,4,5,8]=>[2,1,5]=>5
[4,7,1,6,2,3,5,8]=>[3,5]=>3
[4,8,1,6,2,3,5,7]=>[3,5]=>3
[4,8,1,7,2,3,5,6]=>[3,5]=>3
[4,8,1,2,7,3,6,5]=>[4,3,1]=>11
[5,8,1,2,7,3,6,4]=>[4,3,1]=>11
[5,1,8,2,7,4,6,3]=>[2,2,3,1]=>13
[1,5,8,3,7,4,6,2]=>[1,3,3,1]=>12
[1,6,8,7,3,4,5,2]=>[1,2,4,1]=>11
[6,1,8,7,2,4,5,3]=>[2,1,4,1]=>12
[6,8,1,7,2,3,5,4]=>[3,4,1]=>10
[6,8,7,1,2,3,4,5]=>[2,6]=>2
[5,8,7,1,2,3,4,6]=>[2,6]=>2
[5,8,6,1,2,3,4,7]=>[2,6]=>2
[5,7,6,1,2,3,4,8]=>[2,6]=>2
[7,8,1,6,2,3,5,4]=>[3,4,1]=>10
[7,1,8,6,2,4,5,3]=>[2,1,4,1]=>12
[1,7,8,6,3,4,5,2]=>[1,2,4,1]=>11
[1,8,7,6,3,4,5,2]=>[1,1,1,4,1]=>13
[8,1,7,6,2,4,5,3]=>[2,1,4,1]=>12
[8,7,1,6,2,3,5,4]=>[1,2,4,1]=>11
[3,2,5,1,6,4,8,7]=>[2,2,2,2]=>12
[3,2,5,4,7,1,8,6]=>[2,2,2,2]=>12
[4,2,5,3,7,6,8,1]=>[2,2,2,2]=>12
[4,2,5,3,7,1,8,6]=>[2,2,2,2]=>12
[4,2,5,3,6,1,8,7]=>[2,2,2,2]=>12
[4,2,5,1,6,3,8,7]=>[2,2,2,2]=>12
[3,1,5,4,6,2,8,7]=>[2,2,2,2]=>12
[4,1,5,3,6,2,8,7]=>[2,2,2,2]=>12
[4,3,5,1,6,2,8,7]=>[1,3,2,2]=>11
[4,3,5,2,7,1,8,6]=>[1,3,2,2]=>11
[4,3,6,2,7,5,8,1]=>[1,3,2,2]=>11
[4,3,6,2,7,1,8,5]=>[1,3,2,2]=>11
[4,3,6,1,7,2,8,5]=>[1,3,2,2]=>11
[4,3,5,1,7,2,8,6]=>[1,3,2,2]=>11
[3,1,5,4,7,2,8,6]=>[2,2,2,2]=>12
[2,1,5,4,7,3,8,6]=>[2,2,2,2]=>12
[3,1,5,4,7,6,8,2]=>[2,2,2,2]=>12
[4,1,5,3,7,6,8,2]=>[2,2,2,2]=>12
[4,3,5,1,7,6,8,2]=>[1,3,2,2]=>11
[4,3,6,1,7,5,8,2]=>[1,3,2,2]=>11
[4,3,6,5,7,1,8,2]=>[1,2,3,2]=>10
[5,3,6,4,7,2,8,1]=>[1,3,2,2]=>11
[5,3,6,4,7,1,8,2]=>[1,3,2,2]=>11
[5,3,6,1,7,4,8,2]=>[1,3,2,2]=>11
[5,1,6,3,7,4,8,2]=>[2,2,2,2]=>12
[4,1,6,3,7,5,8,2]=>[2,2,2,2]=>12
[3,1,6,4,7,5,8,2]=>[2,2,2,2]=>12
[2,1,6,4,7,5,8,3]=>[2,2,2,2]=>12
[2,1,6,4,7,3,8,5]=>[2,2,2,2]=>12
[3,1,6,4,7,2,8,5]=>[2,2,2,2]=>12
[4,1,6,3,7,2,8,5]=>[2,2,2,2]=>12
[5,1,6,3,7,2,8,4]=>[2,2,2,2]=>12
[5,3,6,1,7,2,8,4]=>[1,3,2,2]=>11
[5,3,6,2,7,1,8,4]=>[1,3,2,2]=>11
[5,3,6,2,7,4,8,1]=>[1,3,2,2]=>11
[5,2,6,3,7,4,8,1]=>[2,2,2,2]=>12
[5,2,6,3,7,1,8,4]=>[2,2,2,2]=>12
[5,2,6,1,7,3,8,4]=>[2,2,2,2]=>12
[4,2,5,1,7,3,8,6]=>[2,2,2,2]=>12
[4,2,6,1,7,3,8,5]=>[2,2,2,2]=>12
[4,2,6,3,7,1,8,5]=>[2,2,2,2]=>12
[4,2,6,3,7,5,8,1]=>[2,2,2,2]=>12
[3,2,6,4,7,5,8,1]=>[2,2,2,2]=>12
[3,2,6,4,7,1,8,5]=>[2,2,2,2]=>12
[3,2,6,1,7,4,8,5]=>[2,2,2,2]=>12
[3,2,5,1,7,4,8,6]=>[2,2,2,2]=>12
[3,2,4,1,7,5,8,6]=>[2,2,2,2]=>12
[3,1,4,2,7,6,8,5]=>[2,2,2,2]=>12
[3,2,5,1,7,6,8,4]=>[2,2,2,2]=>12
[3,2,6,1,7,5,8,4]=>[2,2,2,2]=>12
[3,2,6,5,7,1,8,4]=>[2,1,3,2]=>11
[4,2,6,5,7,3,8,1]=>[2,1,3,2]=>11
[4,2,6,5,7,1,8,3]=>[2,1,3,2]=>11
[4,2,6,1,7,5,8,3]=>[2,2,2,2]=>12
[4,2,5,1,7,6,8,3]=>[2,2,2,2]=>12
[4,1,5,2,7,6,8,3]=>[2,2,2,2]=>12
[3,1,5,2,7,6,8,4]=>[2,2,2,2]=>12
[2,1,5,3,7,6,8,4]=>[2,2,2,2]=>12
[2,1,6,3,7,5,8,4]=>[2,2,2,2]=>12
[3,1,6,2,7,5,8,4]=>[2,2,2,2]=>12
[4,1,6,2,7,5,8,3]=>[2,2,2,2]=>12
[5,1,6,2,7,4,8,3]=>[2,2,2,2]=>12
[5,2,6,1,7,4,8,3]=>[2,2,2,2]=>12
[5,2,6,4,7,1,8,3]=>[2,2,2,2]=>12
[5,2,6,4,7,3,8,1]=>[2,2,2,2]=>12
[5,4,6,2,7,3,8,1]=>[1,3,2,2]=>11
[5,4,6,2,7,1,8,3]=>[1,3,2,2]=>11
[5,4,6,1,7,2,8,3]=>[1,3,2,2]=>11
[5,1,6,4,7,2,8,3]=>[2,2,2,2]=>12
[4,1,6,5,7,2,8,3]=>[2,1,3,2]=>11
[3,1,6,5,7,2,8,4]=>[2,1,3,2]=>11
[2,1,6,5,7,3,8,4]=>[2,1,3,2]=>11
[3,1,6,5,7,4,8,2]=>[2,1,3,2]=>11
[4,1,6,5,7,3,8,2]=>[2,1,3,2]=>11
[5,1,6,4,7,3,8,2]=>[2,2,2,2]=>12
[5,4,6,1,7,3,8,2]=>[1,3,2,2]=>11
[5,4,6,3,7,1,8,2]=>[1,3,2,2]=>11
[8,3,5,2,1,6,4,7]=>[1,3,2,2]=>11
[8,6,3,5,2,4,1,7]=>[1,2,3,2]=>10
[3,7,5,2,4,1,8,6]=>[2,3,1,2]=>13
[8,3,7,5,2,4,6,1]=>[1,2,4,1]=>11
[8,2,4,5,7,3,6,1]=>[2,5,1]=>9
[2,4,5,7,3,1,8,6]=>[5,1,2]=>11
[8,2,4,6,5,3,1,7]=>[2,3,1,2]=>13
[8,2,5,4,6,1,3,7]=>[2,2,4]=>6
[8,6,3,5,1,4,2,7]=>[1,2,3,2]=>10
[8,6,1,4,5,3,2,7]=>[1,4,1,2]=>12
[8,1,5,6,4,3,2,7]=>[2,3,1,2]=>13
[5,7,4,3,2,1,8,6]=>[2,2,1,1,2]=>17
[8,5,7,4,3,2,6,1]=>[1,3,1,2,1]=>17
[4,6,8,3,2,7,5,1]=>[4,1,2,1]=>16
[4,7,6,3,2,8,1,5]=>[2,2,1,3]=>11
[1,4,6,7,3,2,8,5]=>[1,4,1,2]=>12
[5,4,7,3,1,8,2,6]=>[1,3,1,3]=>10
[1,7,4,5,3,2,8,6]=>[1,1,3,1,2]=>14
[3,7,5,1,4,2,8,6]=>[2,3,1,2]=>13
[5,7,4,2,1,3,8,6]=>[2,2,2,2]=>12
[8,5,7,4,2,1,6,3]=>[1,3,1,2,1]=>17
[8,3,7,5,1,4,6,2]=>[1,2,4,1]=>11
[8,4,1,7,5,3,6,2]=>[1,2,2,2,1]=>16
[4,6,3,8,7,1,5,2]=>[3,1,3,1]=>14
[1,7,4,8,6,3,5,2]=>[1,1,2,3,1]=>14
[8,4,7,6,3,5,2,1]=>[1,2,3,1,1]=>17
[3,6,5,8,7,4,1,2]=>[2,2,2,2]=>12
[3,1,5,8,6,7,4,2]=>[2,2,3,1]=>13
[4,8,1,6,7,3,5,2]=>[3,4,1]=>10
[3,6,4,1,8,7,5,2]=>[2,2,1,2,1]=>18
[8,2,6,1,4,7,5,3]=>[2,3,2,1]=>14
[2,7,6,8,1,4,3,5]=>[2,4,2]=>8
[3,7,1,6,4,8,2,5]=>[3,2,3]=>8
[1,7,3,5,6,8,2,4]=>[1,2,5]=>4
[1,3,6,7,5,8,2,4]=>[1,4,3]=>6
[3,7,6,5,8,2,1,4]=>[2,1,3,2]=>11
[3,6,8,5,7,2,4,1]=>[3,4,1]=>10
[2,3,5,7,6,8,1,4]=>[4,4]=>4
[2,1,6,5,7,8,3,4]=>[2,1,5]=>5
[4,2,7,6,8,3,1,5]=>[2,1,3,2]=>11
[4,2,6,8,7,3,5,1]=>[2,2,3,1]=>13
[3,8,2,4,6,7,5,1]=>[4,3,1]=>11
[3,7,2,6,4,8,1,5]=>[3,2,3]=>8
[3,2,6,1,4,7,8,5]=>[2,3,3]=>7
[5,3,7,2,1,8,4,6]=>[1,3,1,3]=>10
[4,7,3,2,1,5,8,6]=>[3,1,2,2]=>13
[8,7,6,1,3,4,2,5]=>[1,1,4,2]=>9
[8,5,7,3,2,1,6,4]=>[1,3,1,2,1]=>17
[8,3,6,7,2,1,5,4]=>[1,4,2,1]=>13
[3,7,8,6,2,1,5,4]=>[3,2,2,1]=>15
[8,7,6,3,5,2,4,1]=>[1,1,3,2,1]=>15
[2,7,4,8,1,6,5,3]=>[2,4,1,1]=>15
[4,6,8,2,1,7,5,3]=>[4,1,2,1]=>16
[8,4,1,5,7,2,6,3]=>[1,2,4,1]=>11
[8,5,3,7,1,6,2,4]=>[1,2,3,2]=>10
[8,5,7,2,1,3,6,4]=>[1,3,3,1]=>12
[8,2,6,7,1,3,5,4]=>[2,5,1]=>9
[8,3,6,1,7,5,2,4]=>[1,3,2,2]=>11
[4,6,1,8,7,2,5,3]=>[3,1,3,1]=>14
[8,1,2,5,6,7,4,3]=>[3,4,1]=>10
[8,2,6,5,7,4,1,3]=>[2,1,3,2]=>11
[2,1,7,8,5,6,4,3]=>[2,4,1,1]=>15
[8,2,5,7,6,4,3,1]=>[2,2,2,1,1]=>19
[2,7,6,8,5,4,1,3]=>[2,3,1,2]=>13
[1,7,2,5,8,6,4,3]=>[1,2,3,1,1]=>17
[1,7,4,8,2,6,5,3]=>[1,1,4,1,1]=>16
[3,7,8,1,6,5,2,4]=>[4,2,2]=>10
[2,7,8,6,1,3,5,4]=>[3,4,1]=>10
[8,7,6,3,5,1,4,2]=>[1,1,3,2,1]=>15
[8,4,7,6,5,1,3,2]=>[1,2,2,2,1]=>16
[8,7,1,5,6,4,3,2]=>[1,2,3,1,1]=>17
[8,1,6,7,5,4,3,2]=>[2,3,1,1,1]=>20
[6,5,3,1,2,4,8,7]=>[1,2,3,2]=>10
[4,6,3,5,1,2,8,7]=>[3,3,2]=>9
[8,5,3,7,2,1,4,6]=>[1,2,2,3]=>9
[6,8,1,4,5,7,3,2]=>[5,2,1]=>12
[8,7,2,4,5,1,3,6]=>[1,4,3]=>6
[3,6,2,4,5,1,8,7]=>[5,1,2]=>11
[2,6,1,4,5,3,8,7]=>[5,1,2]=>11
[6,1,2,4,5,3,8,7]=>[5,1,2]=>11
[5,6,3,2,1,4,8,7]=>[3,1,2,2]=>13
[5,4,3,6,1,2,8,7]=>[1,2,3,2]=>10
[6,3,1,4,5,2,8,7]=>[1,4,1,2]=>12
[3,1,6,4,5,2,8,7]=>[2,3,1,2]=>13
[8,3,7,4,5,1,2,6]=>[1,4,3]=>6
[5,8,7,4,2,6,3,1]=>[2,2,2,1,1]=>19
[2,8,7,4,1,6,3,5]=>[2,2,2,2]=>12
[8,1,7,4,2,6,3,5]=>[2,2,2,2]=>12
[3,7,8,4,5,1,2,6]=>[5,3]=>5
[2,1,8,7,5,3,4,6]=>[2,1,2,3]=>10
[2,1,6,8,5,7,3,4]=>[2,3,3]=>7
[5,6,3,8,1,7,2,4]=>[3,2,3]=>8
[7,6,1,4,5,8,3,2]=>[1,4,2,1]=>13
[3,7,6,4,5,8,2,1]=>[2,3,2,1]=>14
[8,5,7,4,1,6,3,2]=>[1,3,2,1,1]=>18
[5,1,8,4,7,6,2,3]=>[2,2,2,2]=>12
[2,5,8,4,7,6,1,3]=>[4,2,2]=>10
[2,4,8,3,5,6,7,1]=>[7,1]=>7
[4,1,8,3,5,6,7,2]=>[2,5,1]=>9
[3,8,4,2,5,6,7,1]=>[2,5,1]=>9
[8,4,1,3,5,6,7,2]=>[1,6,1]=>8
[7,5,8,4,3,6,1,2]=>[1,3,2,2]=>11
[6,5,3,8,4,1,7,2]=>[1,2,2,2,1]=>16
[2,1,5,8,4,6,7,3]=>[2,5,1]=>9
[2,1,4,8,3,6,7,5]=>[2,5,1]=>9
[6,4,3,8,2,1,7,5]=>[1,2,2,2,1]=>16
[7,3,8,4,2,6,1,5]=>[1,3,2,2]=>11
[8,3,1,2,5,6,7,4]=>[1,6,1]=>8
[3,1,8,2,5,6,7,4]=>[2,5,1]=>9
[2,3,8,1,5,6,7,4]=>[7,1]=>7
[4,3,8,2,5,6,7,1]=>[1,6,1]=>8
[4,8,2,3,5,6,7,1]=>[7,1]=>7
[3,8,2,1,5,6,7,4]=>[3,4,1]=>10
[2,8,1,3,5,6,7,4]=>[7,1]=>7
[8,1,2,3,5,6,7,4]=>[7,1]=>7
[7,8,2,4,3,6,1,5]=>[4,2,2]=>10
[6,8,3,2,4,1,7,5]=>[3,2,2,1]=>15
[2,1,8,3,4,6,7,5]=>[2,5,1]=>9
[2,1,7,8,5,4,3,6]=>[2,3,1,2]=>13
[5,7,3,8,1,4,2,6]=>[3,3,2]=>9
[7,1,8,4,5,3,2,6]=>[2,3,1,2]=>13
[2,7,8,4,5,3,1,6]=>[5,1,2]=>11
[8,7,1,4,3,6,2,5]=>[1,3,2,2]=>11
[3,8,7,4,2,6,1,5]=>[2,2,2,2]=>12
[5,7,8,4,3,6,2,1]=>[4,2,1,1]=>17
[5,6,3,8,4,2,7,1]=>[3,2,2,1]=>15
[4,8,3,6,2,1,7,5]=>[3,2,2,1]=>15
[8,6,3,1,4,2,7,5]=>[1,2,2,2,1]=>16
[7,5,3,8,2,4,1,6]=>[1,2,3,2]=>10
[2,4,3,1,8,5,7,6]=>[3,1,3,1]=>14
[4,1,3,2,6,8,7,5]=>[3,1,3,1]=>14
[7,5,3,6,2,8,1,4]=>[1,2,2,3]=>9
[8,6,3,5,1,2,7,4]=>[1,2,4,1]=>11
[5,8,3,2,6,1,7,4]=>[3,1,3,1]=>14
[4,5,3,8,6,2,7,1]=>[3,1,3,1]=>14
[3,5,8,4,7,6,2,1]=>[4,2,1,1]=>17
[5,8,2,4,7,6,1,3]=>[4,2,2]=>10
[8,7,5,4,1,6,2,3]=>[1,1,2,2,2]=>13
[2,7,6,4,5,8,1,3]=>[2,3,3]=>7
[7,1,6,4,5,8,2,3]=>[2,3,3]=>7
[5,7,3,6,1,8,2,4]=>[3,2,3]=>8
[2,1,7,6,5,8,3,4]=>[2,1,2,3]=>10
[2,1,8,5,3,6,7,4]=>[2,1,4,1]=>12
[6,8,3,5,2,1,7,4]=>[3,2,2,1]=>15
[7,8,5,4,2,6,1,3]=>[2,2,2,2]=>12
[8,1,4,2,5,6,7,3]=>[2,5,1]=>9
[2,8,4,1,5,6,7,3]=>[2,5,1]=>9
[4,8,1,2,5,6,7,3]=>[7,1]=>7
[3,4,8,1,5,6,7,2]=>[7,1]=>7
[3,4,2,8,5,6,7,1]=>[3,4,1]=>10
[2,4,1,8,5,6,7,3]=>[3,4,1]=>10
[4,1,2,8,5,6,7,3]=>[3,4,1]=>10
[8,4,2,1,5,6,7,3]=>[1,2,4,1]=>11
[7,5,2,4,8,6,1,3]=>[1,3,2,2]=>11
[6,5,3,2,8,1,7,4]=>[1,2,1,3,1]=>15
[2,1,5,3,8,6,7,4]=>[2,2,3,1]=>13
[6,4,3,5,8,1,7,2]=>[1,2,4,1]=>11
[7,3,5,4,8,6,1,2]=>[1,3,2,2]=>11
[8,3,4,1,5,6,7,2]=>[1,6,1]=>8
[4,3,1,8,5,6,7,2]=>[1,2,4,1]=>11
[3,1,4,8,5,6,7,2]=>[2,5,1]=>9
[6,5,3,7,2,8,4,1]=>[1,2,2,2,1]=>16
[6,3,7,4,5,8,2,1]=>[1,4,2,1]=>13
[6,7,2,4,5,8,3,1]=>[5,2,1]=>12
[5,1,7,4,8,6,3,2]=>[2,2,2,1,1]=>19
[2,5,7,4,8,6,3,1]=>[4,2,1,1]=>17
[5,6,3,7,1,8,4,2]=>[3,2,2,1]=>15
[3,8,7,4,5,2,1,6]=>[2,3,1,2]=>13
[3,7,5,4,8,6,2,1]=>[2,2,2,1,1]=>19
[5,7,1,4,8,6,2,3]=>[4,2,2]=>10
[5,6,3,1,8,2,7,4]=>[3,1,3,1]=>14
[4,6,3,5,8,2,7,1]=>[3,4,1]=>10
[4,6,3,8,1,2,7,5]=>[3,4,1]=>10
[3,7,8,4,1,6,2,5]=>[4,2,2]=>10
[3,2,5,1,6,8,4,7]=>[2,2,4]=>6
[3,6,2,5,4,8,1,7]=>[3,2,3]=>8
[3,5,2,4,7,1,8,6]=>[4,2,2]=>10
[3,5,8,2,4,7,6,1]=>[5,2,1]=>12
[4,2,5,8,3,7,6,1]=>[2,3,2,1]=>14
[4,2,6,5,3,8,1,7]=>[2,1,2,3]=>10
[5,4,2,1,6,8,3,7]=>[1,2,1,4]=>8
[6,3,5,1,4,8,2,7]=>[1,4,3]=>6
[4,6,1,5,3,8,2,7]=>[3,2,3]=>8
[5,1,6,4,3,8,2,7]=>[2,2,1,3]=>11
[5,4,3,2,7,1,8,6]=>[1,2,1,2,2]=>14
[5,4,3,8,2,7,6,1]=>[1,2,2,2,1]=>16
[4,3,6,2,8,7,5,1]=>[1,3,1,2,1]=>17
[4,3,7,6,2,1,8,5]=>[1,2,2,1,2]=>15
[6,4,3,1,7,2,8,5]=>[1,2,1,2,2]=>14
[7,5,4,3,1,8,2,6]=>[1,1,2,1,3]=>12
[1,4,7,5,8,3,2,6]=>[1,2,3,2]=>10
[7,1,3,5,8,4,2,6]=>[3,3,2]=>9
[7,2,5,8,4,1,3,6]=>[2,3,3]=>7
[2,8,5,7,4,6,1,3]=>[2,4,2]=>8
[3,5,8,7,1,4,6,2]=>[3,4,1]=>10
[1,4,5,8,7,3,6,2]=>[1,3,3,1]=>12
[1,5,4,8,7,3,6,2]=>[1,1,2,3,1]=>14
[6,4,3,8,1,7,5,2]=>[1,2,2,2,1]=>16
[4,3,7,1,8,6,5,2]=>[1,3,2,1,1]=>18
[4,8,3,7,6,5,2,1]=>[3,1,2,1,1]=>20
[5,3,8,7,6,4,2,1]=>[1,2,1,2,1,1]=>21
[7,5,3,1,8,6,4,2]=>[1,2,1,2,1,1]=>21
[1,8,6,5,3,7,4,2]=>[1,1,1,2,2,1]=>18
[1,5,8,6,3,7,4,2]=>[1,2,2,2,1]=>16
[4,6,1,8,7,3,5,2]=>[3,1,3,1]=>14
[6,8,7,3,1,4,5,2]=>[2,2,3,1]=>13
[6,2,8,7,4,5,1,3]=>[2,1,3,2]=>11
[7,6,2,8,4,1,3,5]=>[1,2,2,3]=>9
[7,3,1,6,8,4,2,5]=>[1,2,3,2]=>10
[1,7,6,4,8,3,2,5]=>[1,1,2,2,2]=>13
[5,7,1,6,3,2,8,4]=>[3,2,1,2]=>14
[6,1,7,5,3,2,8,4]=>[2,1,2,1,2]=>16
[7,6,5,3,2,1,8,4]=>[1,1,2,1,1,2]=>18
[6,5,3,2,8,7,4,1]=>[1,2,1,1,2,1]=>20
[5,2,6,3,8,7,4,1]=>[2,2,1,2,1]=>18
[5,2,7,6,3,1,8,4]=>[2,1,2,1,2]=>16
[6,5,2,1,7,3,8,4]=>[1,2,1,2,2]=>14
[5,2,7,4,1,8,3,6]=>[2,2,1,3]=>11
[4,7,2,6,3,1,8,5]=>[3,2,1,2]=>14
[2,4,8,6,3,7,5,1]=>[3,2,2,1]=>15
[3,8,6,2,4,7,5,1]=>[2,3,2,1]=>14
[7,3,6,2,4,1,8,5]=>[1,4,1,2]=>12
[3,6,7,2,1,4,8,5]=>[4,2,2]=>10
[4,3,7,8,2,1,5,6]=>[1,4,3]=>6
[8,3,7,1,4,6,2,5]=>[1,5,2]=>7
[3,8,2,5,7,1,6,4]=>[3,4,1]=>10
[8,3,6,2,7,1,5,4]=>[1,3,3,1]=>12
[7,8,3,6,2,1,5,4]=>[3,2,2,1]=>15
[8,7,3,6,2,5,4,1]=>[1,2,3,1,1]=>17
[4,7,8,2,1,6,5,3]=>[4,2,1,1]=>17
[4,2,6,8,1,7,5,3]=>[2,3,2,1]=>14
[5,4,8,2,7,1,6,3]=>[1,3,3,1]=>12
[4,8,1,5,7,2,6,3]=>[3,4,1]=>10
[5,8,3,7,1,6,2,4]=>[3,3,2]=>9
[5,8,7,2,6,1,3,4]=>[2,2,4]=>6
[8,6,2,7,5,1,3,4]=>[1,2,2,3]=>9
[3,6,8,1,7,5,2,4]=>[4,2,2]=>10
[5,1,6,8,2,7,4,3]=>[2,3,2,1]=>14
[6,5,2,8,1,7,4,3]=>[1,2,2,2,1]=>16
[5,2,7,1,8,6,4,3]=>[2,2,2,1,1]=>19
[5,8,2,7,6,4,3,1]=>[3,1,2,1,1]=>20
[6,2,8,7,5,4,3,1]=>[2,1,2,1,1,1]=>23
[7,6,2,1,8,5,4,3]=>[1,2,1,2,1,1]=>21
[6,1,7,2,8,5,4,3]=>[2,2,2,1,1]=>19
[7,5,1,8,2,6,4,3]=>[1,2,3,1,1]=>17
[4,7,1,8,6,2,5,3]=>[3,1,3,1]=>14
[7,8,3,1,6,5,2,4]=>[3,1,2,2]=>13
[8,7,4,6,1,5,3,2]=>[1,1,4,1,1]=>16
[8,5,7,1,6,4,3,2]=>[1,3,2,1,1]=>18
[6,8,1,7,5,4,3,2]=>[3,2,1,1,1]=>21
[7,1,8,6,5,4,3,2]=>[2,1,2,1,1,1]=>23
[5,4,2,3,7,6,1,8]=>[1,3,2,2]=>11
[6,4,2,7,3,5,1,8]=>[1,2,3,2]=>10
[7,4,2,6,3,5,1,8]=>[1,2,3,2]=>10
[8,4,2,6,3,1,5,7]=>[1,2,2,3]=>9
[3,2,7,6,4,5,1,8]=>[2,1,3,2]=>11
[4,7,2,6,3,5,1,8]=>[3,3,2]=>9
[5,7,6,2,3,4,1,8]=>[2,4,2]=>8
[1,6,5,2,3,8,4,7]=>[1,1,3,3]=>8
[1,7,5,2,8,3,4,6]=>[1,1,2,4]=>7
[6,8,5,2,3,1,4,7]=>[2,3,3]=>7
[5,8,6,2,3,1,4,7]=>[2,3,3]=>7
[4,8,2,6,3,1,5,7]=>[3,2,3]=>8
[3,2,8,6,4,1,5,7]=>[2,1,2,3]=>10
[3,2,1,6,4,8,5,7]=>[2,1,2,3]=>10
[7,1,5,2,8,3,4,6]=>[2,2,4]=>6
[1,8,5,2,7,3,4,6]=>[1,1,2,4]=>7
[1,8,6,7,2,3,4,5]=>[1,1,6]=>3
[8,1,6,7,2,3,4,5]=>[2,6]=>2
[7,1,6,8,2,3,4,5]=>[2,6]=>2
[3,2,1,7,8,4,5,6]=>[2,1,5]=>5
[3,2,8,7,1,4,5,6]=>[2,1,5]=>5
[5,8,7,2,1,3,4,6]=>[2,2,4]=>6
[1,7,6,8,2,3,4,5]=>[1,1,6]=>3
[6,5,8,2,3,1,4,7]=>[1,4,3]=>6
[8,5,7,2,1,3,4,6]=>[1,3,4]=>5
[6,4,2,8,3,1,5,7]=>[1,2,2,3]=>9
[5,4,2,3,8,1,6,7]=>[1,3,4]=>5
[3,2,5,4,1,8,6,7]=>[2,2,1,3]=>11
[4,5,2,3,1,8,6,7]=>[4,1,3]=>9
[5,4,2,3,1,8,6,7]=>[1,3,1,3]=>10
[6,4,2,1,3,8,5,7]=>[1,2,2,3]=>9
[7,4,2,1,8,3,5,6]=>[1,2,1,4]=>8
[8,4,2,1,7,3,5,6]=>[1,2,1,4]=>8
[1,4,2,8,7,3,5,6]=>[1,2,1,4]=>8
[1,5,8,2,7,3,4,6]=>[1,3,4]=>5
[8,5,1,2,7,3,4,6]=>[1,3,4]=>5
[7,5,1,2,8,3,4,6]=>[1,3,4]=>5
[6,5,1,2,3,8,4,7]=>[1,4,3]=>6
[4,6,2,1,3,8,5,7]=>[3,2,3]=>8
[3,2,6,1,4,8,5,7]=>[2,3,3]=>7
[3,2,7,1,8,4,5,6]=>[2,2,4]=>6
[4,7,2,1,8,3,5,6]=>[3,1,4]=>7
[7,6,1,8,2,3,4,5]=>[1,2,5]=>4
[8,6,1,7,2,3,4,5]=>[1,2,5]=>4
[1,6,8,7,2,3,4,5]=>[1,2,5]=>4
[1,7,8,6,2,3,4,5]=>[1,2,5]=>4
[7,8,1,6,2,3,4,5]=>[3,5]=>3
[6,8,1,7,2,3,4,5]=>[3,5]=>3
[4,8,2,1,7,3,5,6]=>[3,1,4]=>7
[3,2,8,1,7,4,5,6]=>[2,2,4]=>6
[3,2,1,8,7,4,5,6]=>[2,1,1,4]=>9
[5,1,8,2,7,3,4,6]=>[2,2,4]=>6
[6,1,8,7,2,3,4,5]=>[2,1,5]=>5
[8,1,7,6,2,3,4,5]=>[2,1,5]=>5
[1,8,7,6,2,3,4,5]=>[1,1,1,5]=>6
[6,3,5,1,2,4,8,7]=>[1,5,2]=>7
[4,3,5,6,1,2,8,7]=>[1,5,2]=>7
[8,3,7,5,2,1,4,6]=>[1,2,2,3]=>9
[6,3,7,5,1,8,4,2]=>[1,2,2,2,1]=>16
[6,5,2,7,1,8,3,4]=>[1,2,2,3]=>9
[8,5,2,7,4,1,3,6]=>[1,2,2,3]=>9
[2,6,1,5,4,3,8,7]=>[3,2,1,2]=>14
[6,4,3,5,1,2,8,7]=>[1,2,3,2]=>10
[5,3,1,4,6,2,8,7]=>[1,3,2,2]=>11
[3,1,4,6,5,2,8,7]=>[2,3,1,2]=>13
[5,7,4,6,2,8,3,1]=>[2,3,2,1]=>14
[8,1,4,7,2,6,3,5]=>[2,4,2]=>8
[3,4,7,8,5,2,1,6]=>[5,1,2]=>11
[2,1,8,5,7,3,4,6]=>[2,1,5]=>5
[8,6,3,5,1,7,4,2]=>[1,2,2,2,1]=>16
[5,8,2,4,6,7,3,1]=>[4,3,1]=>11
[3,4,8,6,5,7,1,2]=>[3,2,3]=>8
[7,5,4,8,1,6,3,2]=>[1,1,4,1,1]=>16
[5,1,4,6,8,2,7,3]=>[2,5,1]=>9
[2,5,4,6,7,1,8,3]=>[2,4,2]=>8
[2,4,6,3,7,5,8,1]=>[4,2,2]=>10
[4,1,6,3,8,5,7,2]=>[2,2,3,1]=>13
[3,7,4,2,8,6,5,1]=>[2,2,2,1,1]=>19
[7,4,1,3,5,8,6,2]=>[1,4,2,1]=>13
[6,5,8,4,1,7,3,2]=>[1,3,1,2,1]=>17
[8,5,3,7,4,1,6,2]=>[1,2,2,2,1]=>16
[2,1,4,8,3,7,6,5]=>[2,3,2,1]=>14
[7,4,3,8,2,1,6,5]=>[1,2,2,2,1]=>16
[6,3,7,4,1,8,2,5]=>[1,3,1,3]=>10
[8,3,1,2,5,7,6,4]=>[1,4,2,1]=>13
[3,1,8,2,7,6,5,4]=>[2,2,2,1,1]=>19
[2,3,8,1,6,7,5,4]=>[4,3,1]=>11
[4,3,7,2,6,8,5,1]=>[1,3,3,1]=>12
[4,7,2,3,8,5,6,1]=>[4,3,1]=>11
[3,8,2,1,7,5,6,4]=>[3,1,3,1]=>14
[2,8,1,3,6,5,7,4]=>[4,3,1]=>11
[2,7,8,5,4,3,1,6]=>[3,2,1,2]=>14
[8,7,1,6,3,4,2,5]=>[1,2,3,2]=>10
[3,8,6,7,2,4,1,5]=>[2,4,2]=>8
[5,3,8,7,4,2,6,1]=>[1,2,2,2,1]=>16
[4,3,8,7,2,1,6,5]=>[1,2,2,2,1]=>16
[8,3,6,1,4,2,7,5]=>[1,4,2,1]=>13
[7,3,5,8,2,4,1,6]=>[1,5,2]=>7
[2,3,4,1,8,5,7,6]=>[4,3,1]=>11
[4,1,3,2,6,7,8,5]=>[3,1,4]=>7
[8,3,5,6,2,7,1,4]=>[1,4,3]=>6
[5,3,6,1,8,7,2,4]=>[1,3,1,3]=>10
[5,6,2,8,7,4,1,3]=>[3,1,2,2]=>13
[7,8,5,6,1,4,2,3]=>[2,4,2]=>8
[2,8,6,5,4,7,1,3]=>[2,1,2,3]=>10
[8,1,6,4,5,7,2,3]=>[2,3,3]=>7
[5,8,3,6,1,7,2,4]=>[3,2,3]=>8
[2,1,8,6,5,7,3,4]=>[2,1,2,3]=>10
[2,1,7,5,3,6,8,4]=>[2,1,3,2]=>11
[6,7,3,5,2,1,8,4]=>[3,2,1,2]=>14
[7,1,4,2,5,6,8,3]=>[2,4,2]=>8
[2,7,4,1,6,5,8,3]=>[2,2,2,2]=>12
[4,6,1,2,8,7,3,5]=>[4,1,3]=>9
[2,4,1,5,8,7,6,3]=>[3,2,2,1]=>15
[4,1,2,5,8,6,7,3]=>[3,4,1]=>10
[6,4,2,1,5,8,7,3]=>[1,2,2,2,1]=>16
[8,5,2,4,6,1,7,3]=>[1,3,3,1]=>12
[7,5,3,2,6,8,1,4]=>[1,2,1,4]=>8
[2,1,5,3,6,8,7,4]=>[2,2,3,1]=>13
[7,3,5,4,6,1,8,2]=>[1,3,2,2]=>11
[6,3,4,1,5,7,8,2]=>[1,4,3]=>6
[4,3,1,5,7,6,8,2]=>[1,2,3,2]=>10
[3,1,4,5,6,8,7,2]=>[2,5,1]=>9
[4,5,2,6,3,1,8,7]=>[3,2,1,2]=>14
[6,5,2,1,4,3,8,7]=>[1,2,2,1,2]=>15
[6,5,2,7,4,8,3,1]=>[1,2,2,2,1]=>16
[8,5,2,7,4,1,6,3]=>[1,2,2,2,1]=>16
[8,3,7,5,2,1,6,4]=>[1,2,2,2,1]=>16
[6,3,7,5,2,8,4,1]=>[1,2,2,2,1]=>16
[3,1,6,5,4,2,8,7]=>[2,1,2,1,2]=>16
[5,6,3,2,4,1,8,7]=>[3,2,1,2]=>14
[3,6,2,4,1,5,8,7]=>[4,2,2]=>10
[2,6,1,3,5,4,8,7]=>[5,1,2]=>11
[6,7,2,3,4,8,5,1]=>[5,2,1]=>12
[8,7,2,3,4,1,6,5]=>[1,4,2,1]=>13
[5,1,7,3,8,4,6,2]=>[2,2,3,1]=>13
[2,5,7,3,8,6,4,1]=>[4,2,1,1]=>17
[7,6,1,3,5,8,4,2]=>[1,4,2,1]=>13
[3,6,7,4,1,8,5,2]=>[4,1,2,1]=>16
[5,6,3,7,4,8,1,2]=>[3,2,3]=>8
[2,1,6,7,4,8,5,3]=>[2,3,2,1]=>14
[2,1,8,7,4,3,6,5]=>[2,1,2,2,1]=>17
[5,8,3,7,4,2,6,1]=>[3,2,2,1]=>15
[3,8,7,4,1,2,6,5]=>[2,2,3,1]=>13
[7,8,1,3,5,2,6,4]=>[5,2,1]=>12
[5,8,7,3,2,6,1,4]=>[2,2,2,2]=>12
[2,8,6,3,1,5,7,4]=>[2,2,3,1]=>13
[8,1,6,3,2,5,4,7]=>[2,2,2,2]=>12
[2,8,4,1,6,3,7,5]=>[2,2,3,1]=>13
[4,8,1,2,7,6,3,5]=>[4,2,2]=>10
[3,8,4,2,5,7,1,6]=>[2,3,3]=>7
[6,8,3,5,2,7,4,1]=>[3,2,2,1]=>15
[2,1,5,3,8,7,6,4]=>[2,2,1,2,1]=>18
[6,5,3,2,8,7,1,4]=>[1,2,1,1,3]=>13
[7,5,2,4,8,1,6,3]=>[1,3,3,1]=>12
[3,4,2,8,5,7,6,1]=>[3,2,2,1]=>15
[2,4,1,8,7,6,5,3]=>[3,1,2,1,1]=>20
[8,4,2,1,7,5,3,6]=>[1,2,1,2,2]=>14
[4,3,1,8,6,7,5,2]=>[1,2,1,3,1]=>15
[3,1,4,8,6,5,7,2]=>[2,2,3,1]=>13
[7,1,6,5,4,8,2,3]=>[2,1,2,3]=>10
[3,7,5,6,8,4,2,1]=>[2,4,1,1]=>15
[5,7,1,6,8,2,4,3]=>[3,4,1]=>10
[8,6,2,5,1,7,4,3]=>[1,2,2,2,1]=>16
[5,6,2,1,8,7,3,4]=>[3,1,1,3]=>12
[4,6,2,5,8,3,7,1]=>[3,4,1]=>10
[7,5,2,6,3,8,1,4]=>[1,2,2,3]=>9
[4,1,2,3,6,8,7,5]=>[4,3,1]=>11
[2,4,3,1,8,5,6,7]=>[3,1,4]=>7
[7,5,2,8,3,4,6,1]=>[1,2,4,1]=>11
[5,6,2,8,4,3,1,7]=>[3,2,1,2]=>14
[4,7,2,8,1,5,3,6]=>[3,3,2]=>9
[8,7,2,1,4,5,6,3]=>[1,2,4,1]=>11
[3,6,8,7,1,5,4,2]=>[3,3,1,1]=>16
[5,7,8,6,3,4,1,2]=>[3,3,2]=>9
[7,1,8,5,4,3,6,2]=>[2,1,2,2,1]=>17
[2,7,8,4,5,3,6,1]=>[5,2,1]=>12
[5,7,3,8,1,4,6,2]=>[3,4,1]=>10
[2,1,7,8,5,4,6,3]=>[2,3,2,1]=>14
[2,1,5,8,4,6,3,7]=>[2,4,2]=>8
[6,5,3,8,4,1,2,7]=>[1,2,2,3]=>9
[7,5,8,4,3,6,2,1]=>[1,3,2,1,1]=>18
[2,4,8,3,5,6,1,7]=>[6,2]=>6
[4,1,8,3,6,5,2,7]=>[2,2,2,2]=>12
[3,4,8,1,7,2,5,6]=>[4,4]=>4
[8,4,1,3,7,2,6,5]=>[1,3,3,1]=>12
[3,1,8,2,4,7,6,5]=>[2,3,2,1]=>14
[2,3,8,1,4,6,7,5]=>[7,1]=>7
[4,3,8,2,5,1,7,6]=>[1,4,2,1]=>13
[6,3,8,4,2,5,7,1]=>[1,3,3,1]=>12
[7,4,3,8,2,5,1,6]=>[1,2,3,2]=>10
[2,1,4,8,3,5,7,6]=>[2,5,1]=>9
[6,8,2,4,3,5,1,7]=>[4,2,2]=>10
[4,8,2,3,5,1,6,7]=>[5,3]=>5
[3,8,2,1,4,6,5,7]=>[3,3,2]=>9
[2,8,1,3,4,5,7,6]=>[7,1]=>7
[2,8,4,1,6,5,3,7]=>[2,2,2,2]=>12
[2,8,4,1,6,5,7,3]=>[2,2,3,1]=>13
[2,8,7,6,1,4,3,5]=>[2,1,3,2]=>11
[2,8,5,6,7,4,3,1]=>[2,4,1,1]=>15
[7,5,8,6,1,4,2,3]=>[1,2,3,2]=>10
[3,5,7,6,1,4,2,8]=>[3,3,2]=>9
[3,5,7,2,4,1,6,8]=>[5,3]=>5
[7,5,8,2,4,1,6,3]=>[1,4,2,1]=>13
[2,8,5,3,4,7,6,1]=>[2,3,2,1]=>14
[2,8,5,3,4,1,7,6]=>[2,3,2,1]=>14
[2,8,5,3,4,1,6,7]=>[2,3,3]=>7
[2,8,7,6,1,4,5,3]=>[2,1,4,1]=>12
[2,8,5,3,6,1,7,4]=>[2,2,3,1]=>13
[2,8,5,6,7,4,1,3]=>[2,4,2]=>8
[2,8,5,3,4,7,1,6]=>[2,3,3]=>7
[2,8,5,3,4,6,1,7]=>[2,4,2]=>8
[2,8,5,3,4,6,7,1]=>[2,5,1]=>9
[3,5,7,2,4,6,1,8]=>[6,2]=>6
[6,5,2,7,3,1,4,8]=>[1,2,2,3]=>9
[6,5,2,8,3,1,7,4]=>[1,2,2,2,1]=>16
[6,5,2,8,3,1,4,7]=>[1,2,2,3]=>9
[7,5,8,2,4,6,3,1]=>[1,5,1,1]=>14
[7,5,8,6,1,4,3,2]=>[1,2,3,1,1]=>17
[6,5,8,2,1,3,7,4]=>[1,3,3,1]=>12
[3,5,6,2,1,8,7,4]=>[4,1,2,1]=>16
[3,5,7,6,1,4,8,2]=>[3,3,2]=>9
[3,5,7,2,4,1,8,6]=>[5,1,2]=>11
[3,5,7,2,4,6,8,1]=>[6,2]=>6
[6,5,2,7,3,1,8,4]=>[1,2,2,1,2]=>15
[4,5,2,6,3,1,7,8]=>[3,2,3]=>8
[4,1,2,3,7,6,8,5]=>[4,2,2]=>10
[6,5,2,7,3,4,8,1]=>[1,2,3,2]=>10
[5,1,6,7,4,3,8,2]=>[2,3,1,2]=>13
[5,1,2,6,4,8,7,3]=>[3,2,2,1]=>15
[5,1,2,8,6,4,7,3]=>[3,1,3,1]=>14
[5,1,6,8,7,3,4,2]=>[2,2,3,1]=>13
[6,5,2,8,3,7,4,1]=>[1,2,2,2,1]=>16
[4,1,2,3,8,7,5,6]=>[4,1,3]=>9
[4,1,2,3,8,6,5,7]=>[4,2,2]=>10
[4,1,2,3,8,6,7,5]=>[4,3,1]=>11
[4,1,2,3,7,6,5,8]=>[4,2,2]=>10
[4,1,2,3,8,5,7,6]=>[4,3,1]=>11
[7,1,6,8,4,3,5,2]=>[2,3,2,1]=>14
[6,1,2,8,4,5,7,3]=>[3,4,1]=>10
[5,6,8,2,3,1,7,4]=>[5,2,1]=>12
[6,5,8,2,4,3,1,7]=>[1,4,1,2]=>12
[6,5,8,2,4,3,7,1]=>[1,4,2,1]=>13
[7,5,2,8,3,4,1,6]=>[1,2,3,2]=>10
[6,5,2,8,3,7,1,4]=>[1,2,2,3]=>9
[6,5,2,7,3,4,1,8]=>[1,2,3,2]=>10
[5,1,6,7,4,3,2,8]=>[2,3,1,2]=>13
[5,1,6,8,7,3,2,4]=>[2,2,2,2]=>12
[7,1,6,8,4,3,2,5]=>[2,3,1,2]=>13
[5,7,8,6,3,4,2,1]=>[3,3,1,1]=>16
[4,1,8,3,6,5,7,2]=>[2,2,3,1]=>13
[4,1,8,3,6,2,7,5]=>[2,2,3,1]=>13
[3,1,4,8,6,2,7,5]=>[2,2,3,1]=>13
[3,1,4,8,6,5,2,7]=>[2,2,2,2]=>12
[7,1,6,5,8,3,2,4]=>[2,1,3,2]=>11
[4,1,6,7,8,3,2,5]=>[2,4,2]=>8
[4,1,6,5,7,3,2,8]=>[2,1,3,2]=>11
[4,5,2,6,3,7,1,8]=>[3,2,3]=>8
[4,5,2,7,3,8,1,6]=>[3,2,3]=>8
[3,5,6,2,4,8,7,1]=>[5,2,1]=>12
[3,5,6,2,4,8,1,7]=>[5,3]=>5
[3,7,5,6,8,4,1,2]=>[2,4,2]=>8
[3,6,5,2,8,1,7,4]=>[2,2,3,1]=>13
[6,1,2,5,8,4,7,3]=>[3,4,1]=>10
[7,1,6,5,8,3,4,2]=>[2,1,4,1]=>12
[7,5,2,6,3,8,4,1]=>[1,2,2,2,1]=>16
[4,1,2,3,5,8,7,6]=>[5,2,1]=>12
[4,1,2,3,7,8,6,5]=>[4,3,1]=>11
[4,5,2,7,3,8,6,1]=>[3,2,2,1]=>15
[4,1,6,7,8,3,5,2]=>[2,5,1]=>9
[4,1,2,6,8,5,7,3]=>[3,4,1]=>10
[4,1,2,5,6,8,7,3]=>[3,4,1]=>10
[4,5,2,6,3,7,8,1]=>[3,2,3]=>8
[7,8,5,6,1,4,3,2]=>[2,4,1,1]=>15
[7,8,4,2,1,5,3,6]=>[2,2,2,2]=>12
[7,8,2,1,6,5,3,4]=>[3,1,2,2]=>13
[6,4,1,2,5,7,3,8]=>[1,4,3]=>6
[2,4,8,1,5,7,3,6]=>[5,3]=>5
[4,3,8,1,7,2,5,6]=>[1,3,4]=>5
[6,3,1,4,7,2,5,8]=>[1,3,4]=>5
[7,8,3,4,5,1,6,2]=>[5,2,1]=>12
[7,8,3,5,4,2,1,6]=>[3,2,1,2]=>14
[7,8,4,1,2,3,6,5]=>[2,5,1]=>9
[7,8,3,6,5,4,1,2]=>[3,2,1,2]=>14
[7,8,2,1,5,3,4,6]=>[3,2,3]=>8
[7,8,2,6,4,1,3,5]=>[3,2,3]=>8
[7,8,2,5,6,4,1,3]=>[3,3,2]=>9
[7,8,1,6,5,4,3,2]=>[3,2,1,1,1]=>21
[6,2,1,7,5,4,3,8]=>[2,1,2,1,2]=>16
[2,1,8,7,5,4,3,6]=>[2,1,2,1,2]=>16
[1,3,8,2,6,4,7,5]=>[1,3,3,1]=>12
[5,3,7,1,6,4,8,2]=>[1,3,2,2]=>11
[5,3,6,2,7,4,1,8]=>[1,3,2,2]=>11
[6,1,2,5,8,7,4,3]=>[3,2,2,1]=>15
[6,3,1,8,4,2,7,5]=>[1,2,2,2,1]=>16
[6,4,2,1,5,3,8,7]=>[1,2,2,1,2]=>15
[6,4,3,7,5,8,1,2]=>[1,2,2,3]=>9
[4,3,8,7,5,6,1,2]=>[1,2,3,2]=>10
[2,4,7,1,5,3,6,8]=>[5,3]=>5
[1,3,7,6,4,2,8,5]=>[1,2,2,1,2]=>15
[2,1,7,5,6,8,4,3]=>[2,1,4,1]=>12
[3,7,2,8,6,4,1,5]=>[3,1,2,2]=>13
[3,8,1,7,6,4,5,2]=>[3,1,3,1]=>14
[1,8,5,7,3,6,4,2]=>[1,1,4,1,1]=>16
[2,7,5,8,3,6,1,4]=>[2,4,2]=>8
[1,5,6,8,2,4,7,3]=>[1,6,1]=>8
[2,6,8,5,3,1,4,7]=>[3,2,3]=>8
[2,6,1,4,7,3,5,8]=>[4,4]=>4
[5,6,7,3,8,4,1,2]=>[4,2,2]=>10
[5,2,8,1,4,7,3,6]=>[2,3,3]=>7
[4,6,7,5,2,1,3,8]=>[3,2,3]=>8
[4,5,6,7,2,8,1,3]=>[5,3]=>5
[4,5,7,6,1,8,3,2]=>[3,2,2,1]=>15
[1,5,8,6,2,7,3,4]=>[1,2,2,3]=>9
[1,6,5,8,3,2,7,4]=>[1,1,3,2,1]=>15
[4,6,5,7,1,2,8,3]=>[2,4,2]=>8
[4,7,5,6,3,1,8,2]=>[2,3,1,2]=>13
[5,1,6,3,4,2,8,7]=>[2,3,1,2]=>13
[5,7,1,4,2,3,8,6]=>[4,2,2]=>10
[5,7,6,4,3,8,1,2]=>[2,2,1,3]=>11
[6,3,4,5,8,7,1,2]=>[1,4,3]=>6
[6,2,4,1,8,3,7,5]=>[2,2,3,1]=>13
[6,2,3,5,4,8,1,7]=>[3,2,3]=>8
[6,1,3,4,5,8,7,2]=>[5,2,1]=>12
[5,1,4,2,7,6,8,3]=>[2,2,2,2]=>12
[1,6,2,4,7,8,3,5]=>[1,3,4]=>5
[5,7,2,4,1,6,3,8]=>[4,2,2]=>10
[6,1,4,2,8,5,3,7]=>[2,2,2,2]=>12
[6,7,5,8,1,4,3,2]=>[2,4,1,1]=>15
[5,8,7,6,3,4,1,2]=>[2,1,3,2]=>11
[5,8,7,6,2,3,1,4]=>[2,1,3,2]=>11
[4,1,7,2,6,5,3,8]=>[2,2,2,2]=>12
[4,8,2,1,5,6,3,7]=>[3,3,2]=>9
[4,2,7,8,1,6,3,5]=>[2,4,2]=>8
[2,1,8,7,6,5,3,4]=>[2,1,1,2,2]=>15
[3,1,4,7,8,2,6,5]=>[2,5,1]=>9
[3,1,7,4,5,6,8,2]=>[2,4,2]=>8
[4,2,7,1,6,3,8,5]=>[2,2,2,2]=>12
[4,3,7,5,6,8,1,2]=>[1,2,5]=>4
[4,8,6,3,5,7,1,2]=>[2,3,3]=>7
[4,8,1,2,5,3,7,6]=>[5,2,1]=>12
[3,8,6,5,2,4,1,7]=>[2,1,3,2]=>11
[3,8,5,6,1,4,7,2]=>[2,5,1]=>9
[5,3,7,8,2,1,6,4]=>[1,4,2,1]=>13
[5,2,8,7,1,6,4,3]=>[2,1,3,1,1]=>18
[1,6,8,7,5,2,4,3]=>[1,2,2,2,1]=>16
[3,6,7,8,5,1,4,2]=>[5,2,1]=>12
[3,7,6,8,5,2,1,4]=>[2,3,1,2]=>13
[3,7,8,5,1,2,4,6]=>[3,5]=>3
[3,7,1,6,4,2,5,8]=>[3,2,3]=>8
[4,1,8,6,2,3,5,7]=>[2,1,5]=>5
[4,7,8,6,3,5,1,2]=>[3,3,2]=>9
[3,8,7,6,5,4,1,2]=>[2,1,2,1,2]=>16
[2,1,7,6,5,3,4,8]=>[2,1,2,3]=>10
[2,8,1,6,4,5,3,7]=>[3,3,2]=>9
[2,8,7,5,1,4,3,6]=>[2,1,3,2]=>11
[2,8,6,7,5,1,3,4]=>[2,3,3]=>7
[2,7,8,6,5,4,1,3]=>[3,2,1,2]=>14
[6,3,1,2,7,4,8,5]=>[1,3,2,2]=>11
[6,4,2,7,1,3,8,5]=>[1,2,3,2]=>10
[7,4,2,5,1,3,8,6]=>[1,2,3,2]=>10
[7,5,3,6,1,8,2,4]=>[1,2,2,3]=>9
[8,5,3,6,1,7,2,4]=>[1,2,2,3]=>9
[8,3,6,2,4,7,1,5]=>[1,4,3]=>6
[7,3,6,2,4,8,1,5]=>[1,4,3]=>6
[4,3,7,1,2,5,8,6]=>[1,5,2]=>7
[3,6,2,7,1,4,8,5]=>[3,3,2]=>9
[5,3,6,7,1,2,8,4]=>[1,5,2]=>7
[6,3,7,4,1,2,8,5]=>[1,3,2,2]=>11
[4,7,1,5,2,3,8,6]=>[3,3,2]=>9
[3,7,5,1,2,4,8,6]=>[2,4,2]=>8
[7,6,4,2,3,8,1,5]=>[1,1,3,3]=>8
[8,6,4,2,3,7,1,5]=>[1,1,3,3]=>8
[4,7,6,3,8,1,2,5]=>[2,2,4]=>6
[5,7,4,2,3,8,1,6]=>[2,3,3]=>7
[3,7,6,1,4,8,2,5]=>[2,3,3]=>7
[5,7,2,6,1,8,3,4]=>[3,2,3]=>8
[6,4,7,5,2,8,1,3]=>[1,2,2,3]=>9
[7,4,8,5,2,6,1,3]=>[1,2,3,2]=>10
[5,8,2,6,3,7,1,4]=>[3,2,3]=>8
[3,8,6,1,2,7,4,5]=>[2,3,3]=>7
[3,8,6,2,4,7,1,5]=>[2,3,3]=>7
[6,8,4,3,7,1,2,5]=>[2,2,4]=>6
[6,8,5,3,7,1,2,4]=>[2,2,4]=>6
[3,8,5,7,1,2,4,6]=>[2,6]=>2
[2,8,5,7,1,3,4,6]=>[2,6]=>2
[4,8,6,2,7,1,3,5]=>[2,2,4]=>6
[7,3,8,5,6,1,2,4]=>[1,2,5]=>4
[6,3,7,5,8,1,2,4]=>[1,2,5]=>4
[2,7,6,4,8,1,3,5]=>[2,2,4]=>6
[2,6,5,8,1,3,4,7]=>[2,6]=>2
[3,6,5,8,1,2,4,7]=>[2,6]=>2
[2,5,7,4,8,1,3,6]=>[4,4]=>4
[5,4,6,7,2,8,1,3]=>[1,4,3]=>6
[4,6,3,7,1,8,2,5]=>[3,2,3]=>8
[3,5,7,1,4,8,2,6]=>[5,3]=>5
[5,3,7,2,4,8,1,6]=>[1,4,3]=>6
[5,4,7,3,8,1,2,6]=>[1,3,4]=>5
[7,4,6,3,8,1,2,5]=>[1,3,4]=>5
[8,4,6,3,7,1,2,5]=>[1,3,4]=>5
[8,4,1,6,7,2,3,5]=>[1,2,5]=>4
[7,4,1,6,8,2,3,5]=>[1,2,5]=>4
[5,4,1,7,8,2,3,6]=>[1,2,5]=>4
[6,5,3,7,1,8,2,4]=>[1,2,2,3]=>9
[6,5,1,2,7,8,3,4]=>[1,3,4]=>5
[5,3,6,4,7,8,1,2]=>[1,3,4]=>5
[6,3,7,4,8,5,1,2]=>[1,3,2,2]=>11
[4,7,1,5,8,6,2,3]=>[3,3,2]=>9
[7,5,1,2,8,6,3,4]=>[1,3,2,2]=>11
[7,5,3,8,1,6,2,4]=>[1,2,3,2]=>10
[7,4,1,8,6,2,3,5]=>[1,2,1,4]=>8
[7,6,1,8,5,2,3,4]=>[1,2,2,3]=>9
[8,6,1,7,5,2,3,4]=>[1,2,2,3]=>9
[5,7,2,8,1,6,3,4]=>[3,3,2]=>9
[6,4,7,8,2,5,1,3]=>[1,5,2]=>7
[6,3,7,8,5,1,2,4]=>[1,4,3]=>6
[3,6,8,2,7,1,4,5]=>[4,4]=>4
[2,4,8,7,1,3,5,6]=>[3,5]=>3
[4,3,8,7,1,2,5,6]=>[1,2,5]=>4
[5,3,8,7,1,2,4,6]=>[1,2,5]=>4
[8,3,7,6,1,2,4,5]=>[1,2,5]=>4
[8,4,7,6,1,2,3,5]=>[1,2,5]=>4
[5,4,8,7,1,2,3,6]=>[1,2,5]=>4
[3,5,8,7,1,2,4,6]=>[3,5]=>3
[2,5,8,7,1,3,4,6]=>[3,5]=>3
[4,6,8,2,7,1,3,5]=>[4,4]=>4
[4,7,1,8,6,2,3,5]=>[3,1,4]=>7
[7,5,8,6,4,1,2,3]=>[1,2,2,3]=>9
[6,8,4,7,5,1,2,3]=>[2,3,3]=>7
[5,8,7,1,6,2,3,4]=>[2,2,4]=>6
[2,8,7,6,1,3,4,5]=>[2,1,5]=>5
[3,8,7,6,1,2,4,5]=>[2,1,5]=>5
[4,8,7,6,1,2,3,5]=>[2,1,5]=>5
[5,6,3,1,4,2,8,7]=>[3,2,1,2]=>14
[7,5,3,8,2,1,6,4]=>[1,2,2,2,1]=>16
[3,8,7,4,5,1,6,2]=>[2,3,2,1]=>14
[6,7,1,4,5,8,2,3]=>[5,3]=>5
[2,1,7,8,5,3,6,4]=>[2,3,2,1]=>14
[5,7,3,8,1,2,6,4]=>[3,4,1]=>10
[8,7,1,4,5,3,2,6]=>[1,4,1,2]=>12
[2,7,8,4,1,6,5,3]=>[4,2,1,1]=>17
[7,1,8,4,2,6,5,3]=>[2,2,2,1,1]=>19
[7,5,1,4,8,6,3,2]=>[1,3,2,1,1]=>18
[6,5,3,1,8,4,7,2]=>[1,2,1,3,1]=>15
[6,4,3,8,1,5,7,2]=>[1,2,4,1]=>11
[8,6,3,1,2,5,7,4]=>[1,2,4,1]=>11
[8,7,1,4,2,6,5,3]=>[1,3,2,1,1]=>18
[7,3,8,4,1,6,5,2]=>[1,3,2,1,1]=>18
[1,4,5,6,7,8,9,2,3]=>[1,8]=>1
[3,6,4,5,7,2,8,1]=>[2,4,2]=>8
[5,3,2,7,4,6,8,1]=>[1,2,3,2]=>10
[7,5,3,6,2,4,8,1]=>[1,2,3,2]=>10
[6,3,2,5,1,8,4,7]=>[1,2,2,3]=>9
[8,5,3,6,2,7,1,4]=>[1,2,2,3]=>9
[8,2,6,3,4,7,1,5]=>[2,3,3]=>7
[7,2,6,3,4,5,8,1]=>[2,4,2]=>8
[6,2,7,3,4,5,8,1]=>[2,4,2]=>8
[3,6,2,7,4,5,8,1]=>[3,3,2]=>9
[4,2,5,7,3,6,8,1]=>[2,4,2]=>8
[5,4,7,6,2,3,8,1]=>[1,2,3,2]=>10
[6,7,3,5,2,4,8,1]=>[3,3,2]=>9
[3,7,6,2,4,5,8,1]=>[2,4,2]=>8
[2,7,6,3,4,5,8,1]=>[2,4,2]=>8
[6,5,3,1,2,8,4,7]=>[1,2,2,3]=>9
[8,6,5,2,3,7,1,4]=>[1,1,3,3]=>8
[8,5,2,1,7,3,4,6]=>[1,2,1,4]=>8
[7,5,2,1,8,3,4,6]=>[1,2,1,4]=>8
[1,6,3,2,8,4,5,7]=>[1,2,1,4]=>8
[5,7,3,1,2,8,4,6]=>[3,2,3]=>8
[5,6,2,3,1,8,4,7]=>[4,1,3]=>9
[4,2,6,5,1,8,3,7]=>[2,1,2,3]=>10
[5,4,8,6,2,7,1,3]=>[1,2,2,3]=>9
[6,8,3,5,2,7,1,4]=>[3,2,3]=>8
[7,8,5,2,3,6,1,4]=>[2,4,2]=>8
[6,8,2,1,7,3,4,5]=>[3,1,4]=>7
[1,8,6,3,7,2,4,5]=>[1,1,2,4]=>7
[1,8,2,7,3,4,5,6]=>[1,2,5]=>4
[2,8,1,7,3,4,5,6]=>[3,5]=>3
[3,8,6,1,7,2,4,5]=>[2,2,4]=>6
[4,8,1,5,7,2,3,6]=>[3,5]=>3
[4,2,8,3,7,1,5,6]=>[2,2,4]=>6
[4,1,7,5,8,2,3,6]=>[2,1,5]=>5
[1,7,3,8,2,4,5,6]=>[1,2,5]=>4
[8,1,2,7,3,4,5,6]=>[3,5]=>3
[4,2,5,7,1,8,3,6]=>[2,3,3]=>7
[3,6,2,7,1,8,4,5]=>[3,2,3]=>8
[6,3,7,1,2,8,4,5]=>[1,4,3]=>6
[7,2,6,1,8,3,4,5]=>[2,2,4]=>6
[8,2,6,1,7,3,4,5]=>[2,2,4]=>6
[7,3,1,5,8,2,4,6]=>[1,2,5]=>4
[3,2,1,5,8,4,6,7]=>[2,1,5]=>5
[5,4,1,3,6,8,2,7]=>[1,3,4]=>5
[1,5,3,4,6,8,2,7]=>[1,3,4]=>5
[4,3,5,1,6,8,2,7]=>[1,3,4]=>5
[5,4,6,3,8,7,1,2]=>[1,3,1,3]=>10
[3,6,4,5,8,7,1,2]=>[2,3,3]=>7
[6,5,3,4,8,7,1,2]=>[1,3,1,3]=>10
[5,3,2,8,7,1,4,6]=>[1,2,1,4]=>8
[5,3,1,8,7,2,4,6]=>[1,2,1,4]=>8
[8,5,3,7,6,1,2,4]=>[1,2,1,4]=>8
[6,1,8,3,7,2,4,5]=>[2,2,4]=>6
[6,3,8,1,7,2,4,5]=>[1,3,4]=>5
[7,6,8,2,3,5,1,4]=>[1,5,2]=>7
[3,7,8,2,4,6,1,5]=>[6,2]=>6
[6,7,3,8,2,5,1,4]=>[3,3,2]=>9
[5,4,7,8,2,6,1,3]=>[1,5,2]=>7
[4,2,5,8,7,1,3,6]=>[2,2,4]=>6
[3,6,2,8,7,1,4,5]=>[3,1,4]=>7
[3,7,8,1,6,2,4,5]=>[4,4]=>4
[2,3,8,7,1,4,5,6]=>[3,5]=>3
[7,2,8,6,1,3,4,5]=>[2,1,5]=>5
[2,1,8,7,3,4,5,6]=>[2,1,5]=>5
[8,2,7,6,1,3,4,5]=>[2,1,5]=>5
[1,2,8,7,3,4,5,6]=>[2,1,5]=>5
[1,3,8,7,2,4,5,6]=>[1,2,5]=>4
[1,7,8,3,6,2,4,5]=>[1,3,4]=>5
[4,1,5,8,7,2,3,6]=>[2,2,4]=>6
[5,4,8,7,6,1,2,3]=>[1,2,1,4]=>8
[6,8,3,7,5,1,2,4]=>[3,2,3]=>8
[7,8,6,2,5,1,3,4]=>[2,3,3]=>7
[8,1,6,7,3,2,5,4]=>[2,3,2,1]=>14
[8,1,6,7,3,2,4,5]=>[2,3,3]=>7
[8,1,5,3,7,2,4,6]=>[2,2,4]=>6
[8,1,5,3,6,2,4,7]=>[2,2,4]=>6
[7,5,1,3,6,2,4,8]=>[1,3,4]=>5
[7,5,8,3,6,2,4,1]=>[1,3,3,1]=>12
[7,4,8,3,2,6,5,1]=>[1,3,2,1,1]=>18
[7,4,1,3,2,6,5,8]=>[1,3,2,2]=>11
[8,1,4,3,2,6,5,7]=>[2,2,2,2]=>12
[8,1,4,3,2,7,5,6]=>[2,2,1,3]=>11
[8,1,4,3,2,7,6,5]=>[2,2,1,2,1]=>18
[8,1,5,4,6,7,2,3]=>[2,2,4]=>6
[8,1,5,3,6,2,7,4]=>[2,2,3,1]=>13
[8,1,4,3,2,6,7,5]=>[2,2,3,1]=>13
[8,1,4,3,2,5,7,6]=>[2,2,3,1]=>13
[8,1,4,3,2,5,6,7]=>[2,2,4]=>6
[7,4,1,3,2,5,6,8]=>[1,3,4]=>5
[7,4,8,3,2,5,6,1]=>[1,3,3,1]=>12
[6,4,3,8,2,5,7,1]=>[1,2,4,1]=>11
[6,4,3,1,2,5,8,7]=>[1,2,3,2]=>10
[7,4,1,3,2,5,8,6]=>[1,3,2,2]=>11
[7,4,1,3,2,6,8,5]=>[1,3,2,2]=>11
[7,5,1,3,6,2,8,4]=>[1,3,2,2]=>11
[7,5,1,4,6,8,2,3]=>[1,3,4]=>5
[7,5,8,3,6,2,1,4]=>[1,3,2,2]=>11
[7,4,8,3,2,6,1,5]=>[1,3,2,2]=>11
[7,4,8,3,2,5,1,6]=>[1,3,2,2]=>11
[6,4,3,8,2,5,1,7]=>[1,2,3,2]=>10
[6,4,3,7,2,5,8,1]=>[1,2,3,2]=>10
[5,4,3,2,8,6,1,7]=>[1,2,1,2,2]=>14
[5,4,3,2,8,7,1,6]=>[1,2,1,1,3]=>13
[6,5,3,8,7,2,1,4]=>[1,2,1,2,2]=>14
[6,5,4,8,7,1,2,3]=>[1,1,2,4]=>7
[6,5,4,1,7,8,2,3]=>[1,1,2,4]=>7
[6,5,3,1,7,2,8,4]=>[1,2,1,2,2]=>14
[6,4,3,1,2,7,8,5]=>[1,2,2,3]=>9
[5,4,3,2,1,8,6,7]=>[1,2,1,1,3]=>13
[6,5,3,1,8,2,7,4]=>[1,2,1,3,1]=>15
[6,5,4,1,8,7,2,3]=>[1,1,2,1,3]=>12
[7,5,1,4,8,6,2,3]=>[1,3,2,2]=>11
[7,4,1,3,2,8,6,5]=>[1,3,1,2,1]=>17
[7,4,1,3,2,8,5,6]=>[1,3,1,3]=>10
[6,4,3,1,2,8,5,7]=>[1,2,2,3]=>9
[6,4,3,1,2,7,5,8]=>[1,2,2,3]=>9
[6,4,3,8,2,7,5,1]=>[1,2,2,2,1]=>16
[6,5,3,8,7,2,4,1]=>[1,2,1,3,1]=>15
[6,5,3,1,7,2,4,8]=>[1,2,1,4]=>8
[6,5,3,1,8,2,4,7]=>[1,2,1,4]=>8
[7,5,1,3,8,2,4,6]=>[1,3,4]=>5
[7,6,1,8,3,2,4,5]=>[1,2,2,3]=>9
[7,6,1,8,4,5,2,3]=>[1,2,3,2]=>10
[7,6,8,1,4,5,2,3]=>[1,5,2]=>7
[7,6,8,1,3,2,5,4]=>[1,4,2,1]=>13
[6,5,3,7,8,2,4,1]=>[1,2,4,1]=>11
[6,4,3,7,2,8,5,1]=>[1,2,2,2,1]=>16
[6,4,3,7,2,1,5,8]=>[1,2,2,3]=>9
[7,4,8,3,2,1,5,6]=>[1,3,1,3]=>10
[7,4,8,3,2,1,6,5]=>[1,3,1,2,1]=>17
[7,5,8,3,1,2,6,4]=>[1,3,3,1]=>12
[7,5,8,4,1,6,2,3]=>[1,3,2,2]=>11
[6,5,4,8,1,7,2,3]=>[1,1,3,3]=>8
[6,5,3,8,1,2,7,4]=>[1,2,4,1]=>11
[5,4,3,2,8,1,7,6]=>[1,2,1,3,1]=>15
[6,4,3,7,2,1,8,5]=>[1,2,2,1,2]=>15
[6,5,3,7,1,2,8,4]=>[1,2,3,2]=>10
[6,5,4,7,1,8,2,3]=>[1,1,3,3]=>8
[6,5,3,7,8,2,1,4]=>[1,2,3,2]=>10
[6,4,3,7,2,8,1,5]=>[1,2,2,3]=>9
[5,4,3,2,7,8,1,6]=>[1,2,1,4]=>8
[5,4,3,2,6,8,1,7]=>[1,2,1,4]=>8
[5,6,2,1,3,4,8,7]=>[3,3,2]=>9
[5,8,2,7,4,1,3,6]=>[3,2,3]=>8
[5,3,7,8,2,1,4,6]=>[1,4,3]=>6
[7,6,1,2,5,8,3,4]=>[1,4,3]=>6
[2,1,7,8,4,3,5,6]=>[2,3,3]=>7
[8,3,7,4,1,5,6,2]=>[1,3,3,1]=>12
[7,8,1,2,5,4,6,3]=>[5,2,1]=>12
[2,6,8,3,1,4,7,5]=>[4,3,1]=>11
[6,1,8,3,2,4,5,7]=>[2,2,4]=>6
[8,4,1,3,7,6,2,5]=>[1,3,2,2]=>11
[5,8,7,4,2,1,6,3]=>[2,2,1,2,1]=>18
[7,5,1,6,8,3,4,2]=>[1,2,4,1]=>11
[6,5,2,1,8,7,4,3]=>[1,2,1,1,2,1]=>20
[4,7,2,8,1,3,6,5]=>[3,4,1]=>10
[7,3,8,6,1,2,5,4]=>[1,2,4,1]=>11
[3,4,7,1,8,2,6,5]=>[4,3,1]=>11
[1,8,2,4,3,5,6,7]=>[1,3,4]=>5
[1,7,2,4,3,5,6,8]=>[1,3,4]=>5
[1,6,2,4,3,5,7,8]=>[1,3,4]=>5
[1,5,2,4,3,6,7,8]=>[1,3,4]=>5
[1,6,2,5,3,4,7,8]=>[1,2,5]=>4
[1,7,2,5,3,4,6,8]=>[1,2,5]=>4
[1,8,2,5,3,4,6,7]=>[1,2,5]=>4
[1,8,2,6,3,4,5,7]=>[1,2,5]=>4
[1,7,2,6,3,4,5,8]=>[1,2,5]=>4
[1,8,2,7,3,5,4,6]=>[1,2,3,2]=>10
[1,7,2,8,3,5,4,6]=>[1,2,3,2]=>10
[1,6,2,8,3,5,4,7]=>[1,2,3,2]=>10
[1,5,2,8,3,6,4,7]=>[1,2,3,2]=>10
[1,4,2,8,3,6,5,7]=>[1,2,3,2]=>10
[1,3,2,8,4,6,5,7]=>[1,2,3,2]=>10
[1,2,3,8,4,6,5,7]=>[3,3,2]=>9
[1,2,3,7,4,6,5,8]=>[3,3,2]=>9
[1,3,2,7,4,6,5,8]=>[1,2,3,2]=>10
[1,4,2,7,3,6,5,8]=>[1,2,3,2]=>10
[1,5,2,7,3,6,4,8]=>[1,2,3,2]=>10
[1,6,2,7,3,5,4,8]=>[1,2,3,2]=>10
[1,7,2,6,3,5,4,8]=>[1,2,3,2]=>10
[1,8,2,6,3,5,4,7]=>[1,2,3,2]=>10
[1,8,2,5,3,6,4,7]=>[1,2,3,2]=>10
[1,7,2,5,3,6,4,8]=>[1,2,3,2]=>10
[1,6,2,5,3,7,4,8]=>[1,2,2,3]=>9
[1,5,2,4,3,7,6,8]=>[1,3,1,3]=>10
[1,6,2,4,3,7,5,8]=>[1,3,1,3]=>10
[1,7,2,4,3,6,5,8]=>[1,3,2,2]=>11
[1,8,2,4,3,6,5,7]=>[1,3,2,2]=>11
[1,8,2,3,4,6,5,7]=>[1,5,2]=>7
[1,7,2,3,4,6,5,8]=>[1,5,2]=>7
[1,8,2,3,4,7,5,6]=>[1,4,3]=>6
[1,8,2,4,3,7,5,6]=>[1,3,1,3]=>10
[1,7,2,4,3,8,5,6]=>[1,3,1,3]=>10
[1,6,2,4,3,8,5,7]=>[1,3,1,3]=>10
[1,5,2,4,3,8,6,7]=>[1,3,1,3]=>10
[1,6,2,5,3,8,4,7]=>[1,2,2,3]=>9
[1,7,2,5,3,8,4,6]=>[1,2,2,3]=>9
[1,8,2,5,3,7,4,6]=>[1,2,2,3]=>9
[1,8,2,6,3,7,4,5]=>[1,2,2,3]=>9
[1,7,2,6,3,8,4,5]=>[1,2,2,3]=>9
[1,2,3,8,4,7,5,6]=>[3,2,3]=>8
[1,3,2,8,4,7,5,6]=>[1,2,2,3]=>9
[1,4,2,8,3,7,5,6]=>[1,2,2,3]=>9
[1,5,2,8,3,7,4,6]=>[1,2,2,3]=>9
[1,6,2,8,3,7,4,5]=>[1,2,2,3]=>9
[1,7,2,8,3,6,4,5]=>[1,2,3,2]=>10
[1,8,2,7,3,6,4,5]=>[1,2,3,2]=>10
[4,6,3,7,2,5,1,8]=>[3,3,2]=>9
[4,6,3,7,5,2,1,8]=>[3,2,1,2]=>14
[4,6,3,8,5,1,7,2]=>[3,2,2,1]=>15
[4,6,3,8,5,1,2,7]=>[3,2,3]=>8
[5,6,8,3,4,1,2,7]=>[5,3]=>5
[5,6,8,3,4,1,7,2]=>[5,2,1]=>12
[4,6,2,7,5,3,1,8]=>[3,2,1,2]=>14
[5,6,7,2,4,3,1,8]=>[5,1,2]=>11
[5,6,8,4,3,1,7,2]=>[4,1,2,1]=>16
[5,6,8,4,3,1,2,7]=>[4,1,3]=>9
[5,7,8,4,1,6,2,3]=>[4,2,2]=>10
[5,7,8,4,1,6,3,2]=>[4,2,1,1]=>17
[5,7,8,4,1,3,6,2]=>[4,3,1]=>11
[5,6,8,4,2,1,7,3]=>[4,1,2,1]=>16
[5,6,8,2,4,1,7,3]=>[5,2,1]=>12
[4,6,2,8,5,1,7,3]=>[3,2,2,1]=>15
[3,2,6,8,5,1,7,4]=>[2,3,2,1]=>14
[3,2,6,8,5,1,4,7]=>[2,3,3]=>7
[4,6,2,8,5,1,3,7]=>[3,2,3]=>8
[5,6,8,2,4,1,3,7]=>[5,3]=>5
[5,6,8,4,2,1,3,7]=>[4,1,3]=>9
[5,7,8,4,1,3,2,6]=>[4,2,2]=>10
[5,7,8,4,1,2,6,3]=>[4,3,1]=>11
[5,7,8,4,1,2,3,6]=>[4,4]=>4
[6,7,8,1,5,2,3,4]=>[5,3]=>5
[6,7,8,1,5,2,4,3]=>[5,2,1]=>12
[6,7,8,1,5,3,2,4]=>[5,1,2]=>11
[6,7,8,1,3,5,2,4]=>[6,2]=>6
[5,7,8,2,1,6,3,4]=>[4,2,2]=>10
[4,7,2,8,1,6,3,5]=>[3,3,2]=>9
[3,2,7,8,1,6,4,5]=>[2,4,2]=>8
[3,2,7,8,1,6,5,4]=>[2,4,1,1]=>15
[4,7,2,8,1,6,5,3]=>[3,3,1,1]=>16
[5,7,8,2,1,6,4,3]=>[4,2,1,1]=>17
[6,7,8,1,3,5,4,2]=>[6,1,1]=>13
[6,7,8,1,5,3,4,2]=>[5,2,1]=>12
[6,7,8,1,5,4,3,2]=>[5,1,1,1]=>18
[6,7,8,1,5,4,2,3]=>[5,1,2]=>11
[6,7,8,1,4,5,2,3]=>[6,2]=>6
[6,7,8,1,4,5,3,2]=>[6,1,1]=>13
[6,7,8,1,4,3,5,2]=>[5,2,1]=>12
[6,7,8,1,3,4,5,2]=>[7,1]=>7
[5,7,8,2,1,4,6,3]=>[4,3,1]=>11
[4,7,2,8,1,5,6,3]=>[3,4,1]=>10
[3,2,7,8,1,5,6,4]=>[2,5,1]=>9
[3,2,6,8,4,1,7,5]=>[2,3,2,1]=>14
[4,6,2,8,3,1,7,5]=>[3,2,2,1]=>15
[5,6,8,3,2,1,7,4]=>[4,1,2,1]=>16
[5,7,8,3,1,4,6,2]=>[4,3,1]=>11
[5,7,8,3,1,6,4,2]=>[4,2,1,1]=>17
[5,7,8,3,1,6,2,4]=>[4,2,2]=>10
[4,7,3,8,1,6,2,5]=>[3,3,2]=>9
[4,7,3,8,1,6,5,2]=>[3,3,1,1]=>16
[4,7,3,8,1,5,6,2]=>[3,4,1]=>10
[4,6,3,8,2,1,7,5]=>[3,2,2,1]=>15
[4,5,3,2,8,1,7,6]=>[3,1,3,1]=>14
[4,5,2,3,8,1,7,6]=>[4,3,1]=>11
[3,2,5,4,8,1,7,6]=>[2,2,3,1]=>13
[4,5,3,2,8,1,6,7]=>[3,1,4]=>7
[4,6,3,8,2,1,5,7]=>[3,2,3]=>8
[4,7,3,8,1,5,2,6]=>[3,3,2]=>9
[4,7,3,8,1,2,6,5]=>[3,4,1]=>10
[4,7,3,8,1,2,5,6]=>[3,5]=>3
[5,7,8,3,1,2,4,6]=>[4,4]=>4
[5,7,8,3,1,2,6,4]=>[4,3,1]=>11
[5,7,8,3,1,4,2,6]=>[4,2,2]=>10
[5,6,8,3,2,1,4,7]=>[4,1,3]=>9
[3,2,7,8,1,5,4,6]=>[2,4,2]=>8
[5,7,8,2,1,4,3,6]=>[4,2,2]=>10
[6,7,8,1,3,4,2,5]=>[6,2]=>6
[6,7,8,1,4,3,2,5]=>[5,1,2]=>11
[6,7,8,1,4,2,5,3]=>[5,2,1]=>12
[6,7,8,1,4,2,3,5]=>[5,3]=>5
[6,7,8,1,2,5,3,4]=>[6,2]=>6
[6,7,8,1,2,5,4,3]=>[6,1,1]=>13
[6,7,8,1,2,4,5,3]=>[7,1]=>7
[6,7,8,1,3,2,5,4]=>[5,2,1]=>12
[5,7,8,2,1,3,6,4]=>[4,3,1]=>11
[3,2,7,8,1,4,6,5]=>[2,5,1]=>9
[6,7,8,1,3,2,4,5]=>[5,3]=>5
[6,7,8,1,2,4,3,5]=>[6,2]=>6
[6,7,8,1,2,3,5,4]=>[7,1]=>7
[7,2,8,5,1,6,4,3]=>[2,1,3,1,1]=>18
[1,3,7,5,2,6,4,8]=>[1,2,3,2]=>10
[1,3,7,5,4,2,6,8]=>[1,2,2,3]=>9
[7,2,8,5,4,1,6,3]=>[2,1,2,2,1]=>17
[2,8,5,4,3,1,7,6]=>[2,2,1,2,1]=>18
[2,8,4,5,6,1,7,3]=>[2,5,1]=>9
[2,8,6,5,7,3,1,4]=>[2,1,3,2]=>11
[2,8,4,5,3,7,1,6]=>[2,3,3]=>7
[2,8,4,3,5,6,1,7]=>[2,4,2]=>8
[7,2,8,4,5,6,1,3]=>[2,4,2]=>8
[1,6,3,7,5,2,4,8]=>[1,2,2,3]=>9
[6,2,3,8,5,1,7,4]=>[3,2,2,1]=>15
[6,3,2,8,5,1,4,7]=>[1,2,2,3]=>9
[7,4,8,2,5,6,3,1]=>[1,5,1,1]=>14
[7,4,8,5,2,1,3,6]=>[1,2,2,3]=>9
[6,4,8,5,1,3,7,2]=>[1,2,4,1]=>11
[6,3,7,5,2,1,8,4]=>[1,2,2,1,2]=>15
[4,3,7,5,1,2,8,6]=>[1,2,3,2]=>10
[4,3,7,1,5,6,8,2]=>[1,5,2]=>7
[3,6,1,7,5,2,8,4]=>[3,2,1,2]=>14
[3,4,1,2,7,6,8,5]=>[4,2,2]=>10
[3,4,2,1,7,5,8,6]=>[3,1,2,2]=>13
[3,6,5,7,1,4,8,2]=>[2,4,2]=>8
[6,5,2,7,4,1,8,3]=>[1,2,2,1,2]=>15
[3,5,2,6,4,8,7,1]=>[3,2,2,1]=>15
[5,3,1,8,6,4,7,2]=>[1,2,1,3,1]=>15
[5,6,1,8,7,2,4,3]=>[3,1,3,1]=>14
[6,3,5,8,2,7,4,1]=>[1,4,2,1]=>13
[6,5,8,4,2,3,7,1]=>[1,3,3,1]=>12
[6,2,5,8,3,7,1,4]=>[2,3,3]=>7
[1,6,5,7,3,4,2,8]=>[1,1,4,2]=>9
[1,5,2,7,4,6,3,8]=>[1,2,3,2]=>10
[5,2,1,8,7,6,3,4]=>[2,1,1,2,2]=>15
[7,1,3,8,4,6,2,5]=>[3,3,2]=>9
[2,3,4,8,6,1,7,5]=>[4,3,1]=>11
[2,3,4,8,6,5,1,7]=>[4,2,2]=>10
[2,7,3,5,8,6,1,4]=>[3,3,2]=>9
[3,2,4,7,8,6,1,5]=>[2,4,2]=>8
[1,5,4,6,2,7,3,8]=>[1,1,3,3]=>8
[5,2,4,7,1,8,3,6]=>[2,3,3]=>7
[5,3,6,4,1,8,7,2]=>[1,3,1,2,1]=>17
[5,3,6,1,4,8,2,7]=>[1,4,3]=>6
[7,3,5,6,8,4,2,1]=>[1,5,1,1]=>14
[6,3,5,1,8,2,7,4]=>[1,3,3,1]=>12
[2,6,1,5,8,4,7,3]=>[3,4,1]=>10
[2,7,6,5,8,3,4,1]=>[2,1,4,1]=>12
[5,7,1,6,3,8,4,2]=>[3,2,2,1]=>15
[3,2,4,1,7,8,5,6]=>[2,2,4]=>6
[3,1,4,2,7,8,6,5]=>[2,2,3,1]=>13
[5,1,4,7,2,8,6,3]=>[2,3,2,1]=>14
[3,6,4,7,8,2,5,1]=>[2,5,1]=>9
[3,1,4,6,8,5,7,2]=>[2,5,1]=>9
[6,3,4,5,7,1,8,2]=>[1,5,2]=>7
[2,5,4,6,1,7,8,3]=>[2,3,3]=>7
[7,2,1,4,3,6,5,8]=>[2,2,2,2]=>12
[7,3,4,1,2,6,5,8]=>[1,5,2]=>7
[7,4,3,2,1,6,5,8]=>[1,2,1,2,2]=>14
[7,6,3,2,5,4,1,8]=>[1,2,2,1,2]=>15
[6,7,3,2,5,4,8,1]=>[3,2,1,2]=>14
[1,8,3,2,5,4,7,6]=>[1,2,2,2,1]=>16
[1,8,4,5,2,3,7,6]=>[1,1,5,1]=>10
[7,3,5,1,6,2,4,8]=>[1,3,4]=>5
[7,2,1,5,6,3,4,8]=>[2,1,5]=>5
[7,2,1,6,5,4,3,8]=>[2,1,2,1,2]=>16
[7,3,6,1,5,4,2,8]=>[1,4,1,2]=>12
[7,4,6,5,1,3,2,8]=>[1,2,3,2]=>10
[1,8,5,4,3,2,7,6]=>[1,1,2,1,2,1]=>19
[1,8,6,4,3,7,2,5]=>[1,1,2,1,3]=>12
[6,5,7,4,3,1,8,2]=>[1,3,1,1,2]=>16
[6,4,7,5,1,3,8,2]=>[1,2,3,2]=>10
[6,3,7,1,5,4,8,2]=>[1,4,1,2]=>12
[6,2,1,7,5,4,8,3]=>[2,1,2,1,2]=>16
[3,2,1,8,5,4,7,6]=>[2,1,2,2,1]=>17
[2,3,8,1,5,4,7,6]=>[5,2,1]=>12
[2,4,8,5,1,3,7,6]=>[3,4,1]=>10
[2,5,8,4,3,1,7,6]=>[4,1,2,1]=>16
[2,6,8,4,3,7,1,5]=>[4,1,3]=>9
[2,7,8,4,3,6,5,1]=>[4,2,1,1]=>17
[1,8,7,4,3,6,5,2]=>[1,1,2,2,1,1]=>20
[1,8,7,5,6,3,4,2]=>[1,1,1,4,1]=>13
[2,7,8,5,6,3,4,1]=>[3,4,1]=>10
[2,6,8,5,7,3,1,4]=>[3,3,2]=>9
[2,5,8,6,7,1,3,4]=>[3,5]=>3
[2,4,8,6,1,7,3,5]=>[3,2,3]=>8
[3,2,1,8,6,7,4,5]=>[2,1,1,4]=>9
[5,2,1,7,6,8,4,3]=>[2,1,1,3,1]=>16
[5,3,7,1,6,8,4,2]=>[1,3,3,1]=>12
[5,4,7,6,1,8,3,2]=>[1,2,2,2,1]=>16
[4,5,7,6,8,1,3,2]=>[3,4,1]=>10
[4,6,7,5,8,3,1,2]=>[3,3,2]=>9
[1,8,6,5,7,3,2,4]=>[1,1,1,3,2]=>12
[1,8,5,6,7,2,3,4]=>[1,1,6]=>3
[4,7,5,6,8,2,3,1]=>[2,5,1]=>9
[4,6,5,7,8,2,1,3]=>[2,4,2]=>8
[5,4,6,7,1,8,2,3]=>[1,4,3]=>6
[5,3,6,1,7,8,2,4]=>[1,3,4]=>5
[5,2,1,6,7,8,3,4]=>[2,1,5]=>5
[6,2,1,5,7,3,8,4]=>[2,1,3,2]=>11
[6,3,5,1,7,2,8,4]=>[1,3,2,2]=>11
[6,4,5,7,1,2,8,3]=>[1,5,2]=>7
[6,5,4,7,2,1,8,3]=>[1,1,3,1,2]=>14
[5,6,4,7,2,8,1,3]=>[2,3,3]=>7
[1,8,4,6,2,7,3,5]=>[1,1,3,3]=>8
[1,8,3,2,6,7,4,5]=>[1,2,1,4]=>8
[5,7,3,2,6,8,4,1]=>[3,1,3,1]=>14
[5,6,3,2,7,8,1,4]=>[3,1,4]=>7
[6,5,3,2,7,1,8,4]=>[1,2,1,2,2]=>14
[6,4,3,2,1,7,8,5]=>[1,2,1,1,3]=>13
[6,2,1,4,3,7,8,5]=>[2,2,1,3]=>11
[5,2,1,4,3,8,7,6]=>[2,2,1,2,1]=>18
[5,3,4,1,2,8,7,6]=>[1,4,2,1]=>13
[4,6,3,2,8,7,1,5]=>[3,1,1,3]=>12
[4,7,3,2,8,6,5,1]=>[3,1,2,1,1]=>20
[1,8,3,2,7,6,5,4]=>[1,2,1,2,1,1]=>21
[1,8,4,7,2,6,5,3]=>[1,1,4,1,1]=>16
[3,7,4,8,2,6,5,1]=>[2,4,1,1]=>15
[3,6,4,8,2,7,1,5]=>[2,3,3]=>7
[3,5,4,8,2,1,7,6]=>[2,3,2,1]=>14
[3,4,5,8,1,2,7,6]=>[7,1]=>7
[4,3,5,1,8,2,7,6]=>[1,3,3,1]=>12
[4,2,1,5,8,3,7,6]=>[2,1,4,1]=>12
[4,2,1,6,8,7,3,5]=>[2,1,2,3]=>10
[4,3,6,1,8,7,2,5]=>[1,3,1,3]=>10
[3,4,6,8,1,7,2,5]=>[5,3]=>5
[3,5,6,8,7,1,2,4]=>[4,4]=>4
[3,6,5,8,7,2,1,4]=>[2,2,2,2]=>12
[3,7,5,8,6,2,4,1]=>[2,2,3,1]=>13
[1,8,5,7,6,2,4,3]=>[1,1,2,3,1]=>14
[1,8,6,7,5,4,2,3]=>[1,1,3,1,2]=>14
[3,6,7,8,5,4,1,2]=>[5,1,2]=>11
[3,5,7,8,6,1,4,2]=>[4,3,1]=>11
[3,4,7,8,1,6,5,2]=>[6,1,1]=>13
[4,2,1,7,8,6,5,3]=>[2,1,3,1,1]=>18
[2,3,8,1,7,6,5,4]=>[4,2,1,1]=>17
[2,4,8,7,1,6,5,3]=>[3,3,1,1]=>16
[2,5,8,7,6,1,4,3]=>[3,1,3,1]=>14
[2,6,8,7,5,4,1,3]=>[3,2,1,2]=>14
[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,2,2,2,2,2]=>30
[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,2,2,1,1,2,1,1]=>48
[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,2,1,1,2,1,1,2]=>44
[2,1,4,3,12,11,8,7,10,9,6,5]=>[2,2,1,1,2,2,1,1]=>46
[2,1,6,5,4,3,10,9,8,7,12,11]=>[2,1,2,1,1,2,1,2]=>42
[2,1,12,5,4,7,6,11,10,9,8,3]=>[2,1,2,2,1,2,1,1]=>46
[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,1,2,1,1,2,2]=>40
[2,1,10,9,6,5,8,7,4,3,12,11]=>[2,1,1,2,2,1,1,2]=>42
[2,1,12,11,6,5,8,7,10,9,4,3]=>[2,1,1,2,2,2,1,1]=>44
[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,1,1,1,2,1,1,1,1]=>58
[6,5,4,3,2,1,8,7,10,9,12,11]=>[1,1,2,1,1,2,2,2]=>36
[6,5,4,3,2,1,12,11,10,9,8,7]=>[1,1,2,1,1,1,1,2,1,1]=>54
[10,5,4,3,2,7,6,9,8,1,12,11]=>[1,1,2,1,2,2,1,2]=>38
[8,7,4,3,6,5,2,1,10,9,12,11]=>[1,1,2,2,1,1,2,2]=>38
[10,9,4,3,6,5,8,7,2,1,12,11]=>[1,1,2,2,2,1,1,2]=>40
[12,11,4,3,6,5,8,7,10,9,2,1]=>[1,1,2,2,2,2,1,1]=>42
[12,11,4,3,10,9,8,7,6,5,2,1]=>[1,1,2,1,1,2,1,1,1,1]=>56
[10,9,8,7,6,5,4,3,2,1,12,11]=>[1,1,1,1,2,1,1,1,1,2]=>50
[12,11,8,7,6,5,4,3,10,9,2,1]=>[1,1,1,1,2,1,1,2,1,1]=>52
[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,1,1,1,2,2,1,1,1,1]=>54
[7,4,6,1,8,3,5,2]=>[1,3,3,1]=>12
[8,3,5,1,7,4,6,2]=>[1,3,3,1]=>12
[8,3,4,1,7,5,6,2]=>[1,3,3,1]=>12
[4,8,3,1,7,5,6,2]=>[3,1,3,1]=>14
[4,6,2,1,7,5,8,3]=>[3,1,2,2]=>13
[1,4,6,2,7,5,8,3]=>[1,3,2,2]=>11
[1,7,5,2,6,8,4,3]=>[1,1,2,3,1]=>14
[7,5,2,1,6,8,4,3]=>[1,2,1,3,1]=>15
[6,8,4,3,1,7,5,2]=>[2,2,1,2,1]=>18
[3,6,8,4,1,7,5,2]=>[4,1,2,1]=>16
[3,6,7,5,1,8,4,2]=>[3,2,2,1]=>15
[7,5,6,1,8,3,4,2]=>[1,3,3,1]=>12
[3,4,6,5,7,1,8,2]=>[3,3,2]=>9
[4,7,5,6,1,8,3,2]=>[2,3,2,1]=>14
[6,7,5,1,8,4,3,2]=>[2,2,2,1,1]=>19
[6,8,4,1,7,5,3,2]=>[2,2,2,1,1]=>19
[6,7,5,3,1,8,4,2]=>[2,2,1,2,1]=>18
[8,4,2,1,6,7,5,3]=>[1,2,1,3,1]=>15
[1,8,4,2,6,7,5,3]=>[1,1,2,3,1]=>14
[1,5,3,2,7,6,8,4]=>[1,2,1,2,2]=>14
[5,3,2,1,7,6,8,4]=>[1,2,1,2,2]=>14
[2,5,3,1,7,6,8,4]=>[3,1,2,2]=>13
[2,8,4,1,6,7,5,3]=>[2,2,3,1]=>13
[2,7,5,1,6,8,4,3]=>[2,2,3,1]=>13
[2,4,6,1,7,5,8,3]=>[4,2,2]=>10
[4,7,1,6,5,8,2,3]=>[3,2,3]=>8
[4,8,2,6,5,7,1,3]=>[3,2,3]=>8
[4,6,1,2,7,5,8,3]=>[4,2,2]=>10
[7,5,1,2,6,8,4,3]=>[1,3,3,1]=>12
[8,4,1,2,6,7,5,3]=>[1,3,3,1]=>12
[5,3,1,2,7,6,8,4]=>[1,3,2,2]=>11
[1,2,5,3,7,6,8,4]=>[2,2,2,2]=>12
[4,3,1,2,7,6,8,5]=>[1,3,2,2]=>11
[3,5,1,2,7,6,8,4]=>[4,2,2]=>10
[6,7,1,5,8,2,3,4]=>[3,5]=>3
[2,7,6,1,5,8,3,4]=>[2,3,3]=>7
[2,3,5,1,7,6,8,4]=>[4,2,2]=>10
[7,6,1,5,8,3,2,4]=>[1,2,3,2]=>10
[3,6,7,1,5,8,2,4]=>[5,3]=>5
[7,1,6,5,8,2,4,3]=>[2,1,4,1]=>12
[7,5,1,6,8,4,2,3]=>[1,2,3,2]=>10
[8,4,1,6,7,5,2,3]=>[1,2,3,2]=>10
[5,2,3,1,7,6,8,4]=>[3,1,2,2]=>13
[3,5,2,1,7,6,8,4]=>[3,1,2,2]=>13
[1,3,5,2,7,6,8,4]=>[1,3,2,2]=>11
[1,7,6,2,5,8,3,4]=>[1,1,3,3]=>8
[7,6,2,1,5,8,3,4]=>[1,2,2,3]=>9
[8,3,1,5,7,6,2,4]=>[1,2,3,2]=>10
[6,2,4,1,7,5,8,3]=>[2,2,2,2]=>12
[6,2,5,1,7,4,8,3]=>[2,2,2,2]=>12
[7,1,6,4,8,2,5,3]=>[2,2,3,1]=>13
[8,2,6,4,7,1,5,3]=>[2,2,3,1]=>13
[6,1,5,2,7,4,8,3]=>[2,2,2,2]=>12
[7,6,2,5,8,3,1,4]=>[1,2,3,2]=>10
[8,3,5,7,6,2,1,4]=>[1,3,2,2]=>11
[1,8,3,5,7,6,2,4]=>[1,2,3,2]=>10
[1,5,2,3,7,6,8,4]=>[1,3,2,2]=>11
[5,2,1,3,7,6,8,4]=>[2,2,2,2]=>12
[7,5,2,6,8,4,1,3]=>[1,2,3,2]=>10
[8,4,2,6,7,5,1,3]=>[1,2,3,2]=>10
[6,1,4,2,7,5,8,3]=>[2,2,2,2]=>12
[8,2,6,5,7,1,4,3]=>[2,1,4,1]=>12
[3,6,8,2,5,7,1,4]=>[5,3]=>5
[8,3,2,5,7,6,1,4]=>[1,2,3,2]=>10
[5,1,3,2,7,6,8,4]=>[3,1,2,2]=>13
[4,1,3,2,7,6,8,5]=>[3,1,2,2]=>13
[4,2,1,3,7,6,8,5]=>[2,2,2,2]=>12
[1,4,2,3,7,6,8,5]=>[1,3,2,2]=>11
[2,4,1,3,7,6,8,5]=>[4,2,2]=>10
[2,5,1,3,7,6,8,4]=>[4,2,2]=>10
[2,8,3,5,7,6,1,4]=>[3,3,2]=>9
[6,8,2,3,5,7,1,4]=>[5,3]=>5
[6,7,1,3,5,8,2,4]=>[5,3]=>5
[8,3,5,7,6,1,2,4]=>[1,3,4]=>5
[5,1,2,3,7,6,8,4]=>[4,2,2]=>10
[3,1,2,4,7,6,8,5]=>[4,2,2]=>10
[8,1,2,4,3,6,5,7]=>[4,2,2]=>10
[8,1,3,5,6,2,7,4]=>[3,4,1]=>10
[8,1,3,4,2,6,7,5]=>[4,3,1]=>11
[8,1,3,2,4,5,7,6]=>[3,4,1]=>10
[2,7,8,3,4,5,6,1]=>[7,1]=>7
[2,6,3,8,4,5,7,1]=>[3,4,1]=>10
[6,3,2,1,4,5,8,7]=>[1,2,3,2]=>10
[7,3,1,4,2,6,8,5]=>[1,3,2,2]=>11
[7,4,1,5,6,8,2,3]=>[1,2,5]=>4
[4,7,8,5,6,1,2,3]=>[3,5]=>3
[3,7,8,5,6,2,1,4]=>[3,3,2]=>9
[3,7,8,4,2,6,1,5]=>[4,2,2]=>10
[3,7,8,2,4,5,1,6]=>[6,2]=>6
[3,6,2,8,4,5,1,7]=>[3,3,2]=>9
[2,3,6,7,4,5,8,1]=>[6,2]=>6
[3,5,2,4,8,6,1,7]=>[4,2,2]=>10
[3,5,4,2,8,7,1,6]=>[2,2,1,3]=>11
[4,6,5,8,7,1,2,3]=>[2,2,4]=>6
[6,4,5,1,7,8,2,3]=>[1,3,4]=>5
[7,4,1,2,3,8,5,6]=>[1,4,3]=>6
[6,2,4,1,3,7,5,8]=>[2,3,3]=>7
[2,6,4,8,3,7,5,1]=>[2,3,2,1]=>14
[2,6,5,8,7,3,4,1]=>[2,2,3,1]=>13
[6,2,5,1,7,3,4,8]=>[2,2,4]=>6
[6,5,2,1,8,3,4,7]=>[1,2,1,4]=>8
[2,5,6,7,8,3,4,1]=>[7,1]=>7
[2,4,6,7,3,8,5,1]=>[5,2,1]=>12
[4,2,6,7,3,1,5,8]=>[2,3,3]=>7
[4,7,8,2,3,1,5,6]=>[5,3]=>5
[4,7,8,3,2,1,6,5]=>[4,1,2,1]=>16
[5,6,4,8,1,7,2,3]=>[2,3,3]=>7
[5,6,3,8,1,2,7,4]=>[3,4,1]=>10
[4,2,5,3,7,1,6,8]=>[2,2,4]=>6
[4,3,6,7,2,1,8,5]=>[1,4,1,2]=>12
[3,4,6,7,2,8,1,5]=>[5,3]=>5
[3,4,5,2,7,8,1,6]=>[4,4]=>4
[3,4,2,5,6,8,1,7]=>[3,5]=>3
[5,2,7,8,6,4,1,3]=>[2,2,2,2]=>12
[5,1,2,7,8,6,4,3]=>[3,3,1,1]=>16
[4,7,1,8,6,5,2,3]=>[3,1,2,2]=>13
[4,7,1,2,8,6,5,3]=>[4,2,1,1]=>17
[4,6,8,1,2,7,5,3]=>[5,2,1]=>12
[6,8,7,1,5,3,2,4]=>[2,3,1,2]=>13
[6,8,7,3,5,1,2,4]=>[2,3,3]=>7
[7,8,1,6,3,5,2,4]=>[3,3,2]=>9
[7,8,1,3,6,5,2,4]=>[4,2,2]=>10
[7,8,3,6,5,2,1,4]=>[3,2,1,2]=>14
[4,7,2,8,6,1,5,3]=>[3,1,3,1]=>14
[1,7,3,4,8,6,5,2]=>[1,3,2,1,1]=>18
[4,2,7,1,8,6,5,3]=>[2,2,2,1,1]=>19
[7,8,2,3,6,5,1,4]=>[4,2,2]=>10
[8,5,7,1,6,2,3,4]=>[1,3,4]=>5
[8,5,7,1,2,6,3,4]=>[1,5,2]=>7
[6,8,2,7,1,3,5,4]=>[3,4,1]=>10
[6,8,7,2,5,3,1,4]=>[2,3,1,2]=>13
[6,2,4,8,7,1,5,3]=>[2,2,3,1]=>13
[1,6,8,3,7,4,5,2]=>[1,3,3,1]=>12
[1,6,8,3,4,7,5,2]=>[1,4,2,1]=>13
[6,2,4,8,1,7,5,3]=>[2,3,2,1]=>14
[6,8,7,2,3,5,1,4]=>[2,4,2]=>8
[6,8,2,1,7,3,5,4]=>[3,1,3,1]=>14
[8,5,7,2,1,6,3,4]=>[1,3,2,2]=>11
[8,5,7,1,2,3,6,4]=>[1,6,1]=>8
[8,7,6,2,1,4,3,5]=>[1,1,2,2,2]=>13
[8,5,7,2,3,1,6,4]=>[1,4,2,1]=>13
[5,8,4,2,7,1,6,3]=>[2,2,3,1]=>13
[1,8,7,5,3,4,6,2]=>[1,1,1,4,1]=>13
[1,8,7,3,5,4,6,2]=>[1,1,3,2,1]=>15
[8,2,5,4,7,1,6,3]=>[2,2,3,1]=>13
[8,5,2,7,3,1,6,4]=>[1,2,2,2,1]=>16
[8,7,6,2,4,3,1,5]=>[1,1,3,1,2]=>14
[8,7,6,1,2,4,3,5]=>[1,1,4,2]=>9
[8,7,6,1,4,2,3,5]=>[1,1,3,3]=>8
[8,7,6,4,1,3,2,5]=>[1,1,2,2,2]=>13
[5,8,4,7,2,1,6,3]=>[2,3,2,1]=>14
[1,8,7,5,4,3,6,2]=>[1,1,1,2,2,1]=>18
[1,6,8,4,3,7,5,2]=>[1,3,1,2,1]=>17
[6,8,7,3,2,5,1,4]=>[2,2,2,2]=>12
[6,8,1,7,3,2,5,4]=>[3,2,2,1]=>15
[8,5,7,3,1,6,2,4]=>[1,3,2,2]=>11
[8,5,7,1,3,2,6,4]=>[1,4,2,1]=>13
[8,5,7,3,1,2,6,4]=>[1,3,3,1]=>12
[5,8,4,7,1,2,6,3]=>[2,5,1]=>9
[5,8,4,1,7,2,6,3]=>[2,2,3,1]=>13
[5,8,4,7,1,6,2,3]=>[2,4,2]=>8
[8,1,2,6,5,7,4,3]=>[3,2,2,1]=>15
[8,2,5,6,7,4,1,3]=>[2,4,2]=>8
[4,8,5,7,1,6,2,3]=>[2,4,2]=>8
[4,8,5,7,1,2,6,3]=>[2,5,1]=>9
[4,8,5,1,7,2,6,3]=>[2,2,3,1]=>13
[8,5,3,1,7,2,6,4]=>[1,2,1,3,1]=>15
[8,5,3,7,1,2,6,4]=>[1,2,4,1]=>11
[6,8,1,3,7,2,5,4]=>[4,3,1]=>11
[4,6,2,8,1,7,5,3]=>[3,2,2,1]=>15
[1,6,4,8,3,7,5,2]=>[1,1,3,2,1]=>15
[1,8,7,4,5,3,6,2]=>[1,1,3,2,1]=>15
[4,8,5,7,2,1,6,3]=>[2,3,2,1]=>14
[8,5,3,7,2,1,6,4]=>[1,2,2,2,1]=>16
[8,7,6,3,1,4,2,5]=>[1,1,2,2,2]=>13
[8,7,6,1,3,2,4,5]=>[1,1,3,3]=>8
[8,5,3,2,7,1,6,4]=>[1,2,1,3,1]=>15
[4,8,5,2,7,1,6,3]=>[2,2,3,1]=>13
[1,8,7,4,3,5,6,2]=>[1,1,2,3,1]=>14
[1,8,7,3,4,5,6,2]=>[1,1,5,1]=>10
[8,2,4,5,7,1,6,3]=>[2,5,1]=>9
[8,5,2,3,7,1,6,4]=>[1,3,3,1]=>12
[6,3,1,5,4,2,8,7]=>[1,2,2,1,2]=>15
[8,3,1,5,2,7,6,4]=>[1,2,2,2,1]=>16
[8,5,4,2,1,7,3,6]=>[1,1,2,1,3]=>12
[8,5,4,2,1,7,6,3]=>[1,1,2,1,2,1]=>19
[6,5,4,2,1,3,8,7]=>[1,1,2,2,2]=>13
[6,5,4,2,3,1,8,7]=>[1,1,3,1,2]=>14
[6,3,2,5,1,4,8,7]=>[1,2,3,2]=>10
[6,5,4,3,1,2,8,7]=>[1,1,2,2,2]=>13
[6,5,4,1,3,2,8,7]=>[1,1,3,1,2]=>14
[8,5,4,1,2,7,6,3]=>[1,1,3,2,1]=>15
[8,7,4,1,6,3,2,5]=>[1,1,2,2,2]=>13
[8,7,4,1,6,3,5,2]=>[1,1,2,3,1]=>14
[8,7,4,1,6,5,3,2]=>[1,1,2,2,1,1]=>20
[8,5,4,1,3,7,6,2]=>[1,1,3,2,1]=>15
[8,5,4,3,1,7,6,2]=>[1,1,2,1,2,1]=>19
[8,3,2,5,1,7,6,4]=>[1,2,2,2,1]=>16
[2,1,8,5,3,7,6,4]=>[2,1,2,2,1]=>17
[8,3,2,5,1,7,4,6]=>[1,2,2,3]=>9
[8,5,4,3,1,7,2,6]=>[1,1,2,1,3]=>12
[8,5,4,1,3,7,2,6]=>[1,1,3,3]=>8
[8,7,4,1,6,5,2,3]=>[1,1,2,2,2]=>13
[8,7,4,1,6,2,5,3]=>[1,1,2,3,1]=>14
[8,7,6,5,2,1,4,3]=>[1,1,1,2,2,1]=>18
[8,7,4,3,6,2,1,5]=>[1,1,2,2,2]=>13
[8,3,2,7,6,4,1,5]=>[1,2,1,2,2]=>14
[2,1,8,7,6,4,3,5]=>[2,1,1,2,2]=>15
[2,1,8,7,6,4,5,3]=>[2,1,1,3,1]=>16
[8,3,2,7,6,4,5,1]=>[1,2,1,3,1]=>15
[8,7,4,3,6,2,5,1]=>[1,1,2,3,1]=>14
[8,7,6,5,2,4,3,1]=>[1,1,1,3,1,1]=>19
[8,5,4,2,3,7,6,1]=>[1,1,3,2,1]=>15
[8,7,4,2,6,5,3,1]=>[1,1,2,2,1,1]=>20
[8,7,4,2,6,3,5,1]=>[1,1,2,3,1]=>14
[8,7,4,2,6,3,1,5]=>[1,1,2,2,2]=>13
[8,3,1,7,6,4,2,5]=>[1,2,1,2,2]=>14
[8,3,1,7,6,4,5,2]=>[1,2,1,3,1]=>15
[8,3,1,7,6,5,4,2]=>[1,2,1,2,1,1]=>21
[8,3,1,5,4,7,6,2]=>[1,2,2,2,1]=>16
[8,3,1,5,4,7,2,6]=>[1,2,2,3]=>9
[8,3,1,7,6,5,2,4]=>[1,2,1,2,2]=>14
[8,3,1,7,6,2,5,4]=>[1,2,1,3,1]=>15
[8,7,4,2,6,1,5,3]=>[1,1,2,3,1]=>14
[8,7,4,2,6,5,1,3]=>[1,1,2,2,2]=>13
[8,5,4,2,3,7,1,6]=>[1,1,3,3]=>8
[8,3,2,5,4,7,1,6]=>[1,2,2,3]=>9
[2,1,8,5,4,7,3,6]=>[2,1,2,3]=>10
[8,3,2,7,6,5,1,4]=>[1,2,1,2,2]=>14
[8,7,4,3,6,5,1,2]=>[1,1,2,2,2]=>13
[8,7,6,5,3,1,4,2]=>[1,1,1,2,2,1]=>18
[8,7,6,5,1,3,2,4]=>[1,1,1,3,2]=>12
[8,7,6,5,1,3,4,2]=>[1,1,1,4,1]=>13
[8,7,6,5,1,4,3,2]=>[1,1,1,3,1,1]=>19
[8,7,6,5,4,1,3,2]=>[1,1,1,2,2,1]=>18
[8,7,4,3,6,1,5,2]=>[1,1,2,3,1]=>14
[8,3,2,7,6,1,5,4]=>[1,2,1,3,1]=>15
[2,1,8,7,6,3,5,4]=>[2,1,1,3,1]=>16
[8,3,2,7,6,1,4,5]=>[1,2,1,4]=>8
[8,7,6,5,1,4,2,3]=>[1,1,1,3,2]=>12
[8,7,6,5,1,2,4,3]=>[1,1,1,4,1]=>13
[7,3,5,1,8,4,6,2]=>[1,3,3,1]=>12
[7,3,4,1,8,5,6,2]=>[1,3,3,1]=>12
[4,5,6,2,1,8,7,3]=>[4,1,2,1]=>16
[1,6,5,2,7,4,3,8]=>[1,1,2,2,2]=>13
[7,4,3,1,8,6,5,2]=>[1,2,1,2,1,1]=>21
[7,6,5,1,8,4,3,2]=>[1,1,2,2,1,1]=>20
[7,6,4,1,8,5,3,2]=>[1,1,2,2,1,1]=>20
[6,4,2,1,8,7,5,3]=>[1,2,1,1,2,1]=>20
[1,6,4,2,7,5,3,8]=>[1,1,2,2,2]=>13
[1,5,3,2,7,6,4,8]=>[1,2,1,2,2]=>14
[5,3,2,1,8,7,6,4]=>[1,2,1,1,2,1]=>20
[2,5,3,1,7,8,6,4]=>[3,1,3,1]=>14
[2,6,4,1,7,8,5,3]=>[2,2,3,1]=>13
[2,6,5,1,7,8,4,3]=>[2,2,3,1]=>13
[4,5,7,1,6,8,2,3]=>[4,4]=>4
[6,5,1,2,8,4,3,7]=>[1,3,2,2]=>11
[6,4,1,2,8,5,3,7]=>[1,3,2,2]=>11
[5,3,1,2,8,6,4,7]=>[1,3,2,2]=>11
[4,3,1,2,8,6,5,7]=>[1,3,2,2]=>11
[6,1,2,5,8,3,4,7]=>[3,5]=>3
[7,1,3,4,8,2,5,6]=>[4,4]=>4
[7,1,5,6,8,2,3,4]=>[2,6]=>2
[2,6,1,5,7,8,3,4]=>[3,5]=>3
[7,4,1,6,8,5,2,3]=>[1,2,3,2]=>10
[5,2,3,1,8,6,7,4]=>[3,1,3,1]=>14
[3,5,2,1,6,8,7,4]=>[3,1,3,1]=>14
[1,6,2,5,7,3,4,8]=>[1,2,5]=>4
[6,2,1,5,8,7,3,4]=>[2,1,2,3]=>10
[7,3,1,5,8,6,2,4]=>[1,2,3,2]=>10
[6,2,4,1,8,5,7,3]=>[2,2,3,1]=>13
[6,2,5,1,8,4,7,3]=>[2,2,3,1]=>13
[7,3,1,4,8,6,2,5]=>[1,3,2,2]=>11
[6,2,1,4,8,7,3,5]=>[2,2,1,3]=>11
[1,6,2,4,7,3,5,8]=>[1,3,4]=>5
[5,2,1,3,8,7,4,6]=>[2,2,1,3]=>11
[7,4,1,3,8,5,2,6]=>[1,3,2,2]=>11
[7,5,1,3,8,4,2,6]=>[1,3,2,2]=>11
[3,6,7,1,4,8,2,5]=>[5,3]=>5
[7,6,1,4,8,3,2,5]=>[1,3,2,2]=>11
[4,2,1,3,8,7,5,6]=>[2,2,1,3]=>11
[2,6,1,4,7,8,3,5]=>[4,4]=>4
[7,1,4,6,8,2,3,5]=>[2,6]=>2
[7,1,3,5,8,2,4,6]=>[3,5]=>3
[6,1,2,4,8,3,5,7]=>[4,4]=>4
[5,2,3,1,6,4,8,7]=>[3,1,2,2]=>13
[7,4,5,2,3,1,8,6]=>[1,4,1,2]=>12
[8,6,7,3,5,2,4,1]=>[1,4,2,1]=>13
[7,3,5,2,4,1,8,6]=>[1,4,1,2]=>12
[6,3,5,2,4,1,8,7]=>[1,4,1,2]=>12
[5,2,4,1,6,3,8,7]=>[2,2,2,2]=>12
[4,1,6,3,5,2,8,7]=>[2,3,1,2]=>13
[6,3,4,1,5,2,8,7]=>[1,4,1,2]=>12
[5,2,6,3,4,1,8,7]=>[2,3,1,2]=>13
[5,2,7,3,4,1,8,6]=>[2,3,1,2]=>13
[5,2,8,6,7,3,4,1]=>[2,1,4,1]=>12
[6,2,8,5,7,3,4,1]=>[2,1,4,1]=>12
[6,2,7,3,4,1,8,5]=>[2,3,1,2]=>13
[7,3,4,1,5,2,8,6]=>[1,4,1,2]=>12
[4,1,7,3,5,2,8,6]=>[2,3,1,2]=>13
[3,1,7,4,5,2,8,6]=>[2,3,1,2]=>13
[2,1,7,4,5,3,8,6]=>[2,3,1,2]=>13
[3,1,8,6,7,4,5,2]=>[2,1,4,1]=>12
[4,1,8,6,7,3,5,2]=>[2,1,4,1]=>12
[8,6,7,3,4,1,5,2]=>[1,4,2,1]=>13
[8,5,7,3,4,1,6,2]=>[1,4,2,1]=>13
[8,5,6,2,7,3,4,1]=>[1,3,3,1]=>12
[8,4,7,3,5,1,6,2]=>[1,4,2,1]=>13
[5,1,8,4,7,3,6,2]=>[2,2,3,1]=>13
[4,1,8,5,7,3,6,2]=>[2,1,4,1]=>12
[3,1,8,5,7,4,6,2]=>[2,1,4,1]=>12
[2,1,8,5,7,4,6,3]=>[2,1,4,1]=>12
[2,1,7,4,6,3,8,5]=>[2,2,2,2]=>12
[3,1,7,4,6,2,8,5]=>[2,2,2,2]=>12
[4,1,7,3,6,2,8,5]=>[2,2,2,2]=>12
[5,1,7,3,6,2,8,4]=>[2,2,2,2]=>12
[6,2,7,3,5,1,8,4]=>[2,3,1,2]=>13
[6,2,8,4,7,3,5,1]=>[2,2,3,1]=>13
[8,4,7,3,6,2,5,1]=>[1,3,3,1]=>12
[7,3,6,2,5,1,8,4]=>[1,4,1,2]=>12
[6,2,5,1,7,3,8,4]=>[2,2,2,2]=>12
[5,2,4,1,7,3,8,6]=>[2,2,2,2]=>12
[6,2,4,1,7,3,8,5]=>[2,2,2,2]=>12
[8,5,7,3,6,2,4,1]=>[1,3,3,1]=>12
[8,5,7,4,6,2,3,1]=>[1,3,3,1]=>12
[7,4,6,2,3,1,8,5]=>[1,4,1,2]=>12
[6,2,3,1,7,4,8,5]=>[3,1,2,2]=>13
[5,2,3,1,7,4,8,6]=>[3,1,2,2]=>13
[4,2,3,1,7,5,8,6]=>[3,1,2,2]=>13
[3,1,4,2,8,6,7,5]=>[2,2,3,1]=>13
[6,2,3,1,8,5,7,4]=>[3,1,3,1]=>14
[8,5,6,2,3,1,7,4]=>[1,4,2,1]=>13
[7,4,8,5,6,2,3,1]=>[1,2,4,1]=>11
[7,3,8,5,6,2,4,1]=>[1,2,4,1]=>11
[8,5,6,2,4,1,7,3]=>[1,4,2,1]=>13
[5,2,4,1,8,6,7,3]=>[2,2,3,1]=>13
[4,1,5,2,8,6,7,3]=>[2,2,3,1]=>13
[3,1,5,2,8,6,7,4]=>[2,2,3,1]=>13
[2,1,6,3,8,5,7,4]=>[2,2,3,1]=>13
[3,1,6,2,8,5,7,4]=>[2,2,3,1]=>13
[4,1,6,2,8,5,7,3]=>[2,2,3,1]=>13
[5,1,6,2,8,4,7,3]=>[2,2,3,1]=>13
[8,4,6,2,5,1,7,3]=>[1,4,2,1]=>13
[7,3,8,4,6,2,5,1]=>[1,3,3,1]=>12
[6,2,7,3,8,4,5,1]=>[2,2,3,1]=>13
[8,4,5,1,6,2,7,3]=>[1,3,3,1]=>12
[5,1,8,4,6,2,7,3]=>[2,2,3,1]=>13
[4,1,8,5,6,2,7,3]=>[2,1,4,1]=>12
[3,1,8,5,6,2,7,4]=>[2,1,4,1]=>12
[2,1,8,5,6,3,7,4]=>[2,1,4,1]=>12
[2,1,7,4,8,5,6,3]=>[2,2,3,1]=>13
[3,1,7,4,8,5,6,2]=>[2,2,3,1]=>13
[4,1,7,3,8,5,6,2]=>[2,2,3,1]=>13
[7,3,8,4,5,1,6,2]=>[1,4,2,1]=>13
[8,4,5,1,7,3,6,2]=>[1,3,3,1]=>12
[7,3,6,2,8,4,5,1]=>[1,3,3,1]=>12
[7,8,5,6,1,3,4,2]=>[2,5,1]=>9
[7,8,1,3,6,2,5,4]=>[4,3,1]=>11
[1,3,8,4,7,2,5,6]=>[1,3,4]=>5
[3,6,1,4,7,2,5,8]=>[4,4]=>4
[4,6,1,2,5,7,3,8]=>[5,3]=>5
[1,4,8,2,5,7,3,6]=>[1,4,3]=>6
[7,8,2,4,5,6,1,3]=>[6,2]=>6
[7,8,1,5,4,6,3,2]=>[3,3,1,1]=>16
[7,8,2,1,6,3,4,5]=>[3,1,4]=>7
[7,8,3,5,6,4,1,2]=>[3,3,2]=>9
[7,8,1,4,2,3,6,5]=>[4,3,1]=>11
[7,8,5,1,4,2,6,3]=>[2,3,2,1]=>14
[7,8,4,5,3,1,6,2]=>[2,3,2,1]=>14
[1,5,8,4,3,2,7,6]=>[1,3,1,2,1]=>17
[5,6,1,4,3,2,7,8]=>[4,1,3]=>9
[2,6,4,8,3,7,1,5]=>[2,3,3]=>7
[1,4,6,8,3,7,5,2]=>[1,4,2,1]=>13
[2,4,8,5,3,1,6,7]=>[3,2,3]=>8
[2,5,8,1,4,7,6,3]=>[5,2,1]=>12
[3,5,8,4,7,6,1,2]=>[4,2,2]=>10
[1,6,2,4,7,3,8,5]=>[1,3,2,2]=>11
[5,6,2,1,4,7,8,3]=>[3,2,3]=>8
[4,6,2,5,3,1,8,7]=>[3,2,1,2]=>14
[4,7,5,1,3,6,8,2]=>[2,4,2]=>8
[7,5,3,6,2,4,1,8]=>[1,2,3,2]=>10
[5,7,3,6,1,4,8,2]=>[3,3,2]=>9
[5,3,6,7,2,1,8,4]=>[1,4,1,2]=>12
[6,1,7,5,2,4,8,3]=>[2,1,3,2]=>11
[6,3,1,2,4,5,8,7]=>[1,5,2]=>7
[1,4,7,2,5,3,8,6]=>[1,4,1,2]=>12
[4,6,7,8,3,5,1,2]=>[6,2]=>6
[3,6,1,8,4,2,5,7]=>[3,2,3]=>8
[1,6,7,5,8,2,4,3]=>[1,2,4,1]=>11
[3,5,6,7,8,1,4,2]=>[7,1]=>7
[3,6,5,7,8,2,1,4]=>[2,4,2]=>8
[5,2,7,6,1,4,3,8]=>[2,1,3,2]=>11
[2,5,7,6,8,1,3,4]=>[3,5]=>3
[2,7,5,6,8,4,1,3]=>[2,4,2]=>8
[2,1,6,8,4,5,3,7]=>[2,4,2]=>8
[2,7,1,8,5,3,4,6]=>[3,2,3]=>8
[3,7,6,8,5,4,1,2]=>[2,3,1,2]=>13
[4,3,8,5,6,7,1,2]=>[1,2,5]=>4
[4,2,8,1,6,3,7,5]=>[2,2,3,1]=>13
[3,1,8,5,4,6,7,2]=>[2,1,4,1]=>12
[3,2,8,4,5,6,1,7]=>[2,4,2]=>8
[3,4,2,8,6,1,7,5]=>[3,1,3,1]=>14
[3,4,7,1,5,2,6,8]=>[5,3]=>5
[4,3,7,8,1,2,6,5]=>[1,6,1]=>8
[1,7,3,8,5,2,6,4]=>[1,2,2,2,1]=>16
[4,1,8,3,6,2,5,7]=>[2,2,4]=>6
[5,7,8,6,3,2,1,4]=>[3,2,1,2]=>14
[5,7,8,6,1,3,4,2]=>[3,4,1]=>10
[7,6,5,8,1,3,4,2]=>[1,1,5,1]=>10
[1,6,4,3,8,2,5,7]=>[1,1,2,4]=>7
[7,1,3,4,8,2,6,5]=>[4,3,1]=>11
[3,6,5,4,1,2,7,8]=>[2,2,4]=>6
[2,4,5,1,7,8,6,3]=>[4,3,1]=>11
[2,6,3,4,5,8,1,7]=>[5,3]=>5
[2,6,4,1,8,3,7,5]=>[2,2,3,1]=>13
[7,3,6,4,8,5,1,2]=>[1,3,2,2]=>11
[7,2,1,4,8,3,5,6]=>[2,2,4]=>6
[7,1,6,5,3,8,4,2]=>[2,1,2,2,1]=>17
[7,2,5,6,3,8,1,4]=>[2,3,3]=>7
[6,5,2,7,1,8,4,3]=>[1,2,2,2,1]=>16
[5,6,2,7,3,1,4,8]=>[3,2,3]=>8
[5,6,7,4,2,8,1,3]=>[4,1,3]=>9
[5,7,6,4,1,8,3,2]=>[2,2,1,2,1]=>18
[6,7,1,5,2,8,3,4]=>[3,2,3]=>8
[1,7,5,2,4,8,3,6]=>[1,1,3,3]=>8
[6,1,5,2,8,3,4,7]=>[2,2,4]=>6
[6,7,5,3,8,4,1,2]=>[2,2,2,2]=>12
[1,6,5,4,2,3,8,7]=>[1,1,2,2,2]=>13
[7,1,5,3,4,2,8,6]=>[2,3,1,2]=>13
[7,6,1,5,3,2,8,4]=>[1,2,2,1,2]=>15
[7,5,6,4,1,2,8,3]=>[1,3,2,2]=>11
[6,7,5,4,3,1,8,2]=>[2,2,1,1,2]=>17
[7,5,2,4,3,1,6,8]=>[1,3,1,3]=>10
[7,4,6,1,2,5,3,8]=>[1,5,2]=>7
[7,1,4,2,5,3,6,8]=>[2,3,3]=>7
[6,8,1,4,2,5,7,3]=>[4,3,1]=>11
[1,6,4,2,5,7,3,8]=>[1,1,3,3]=>8
[1,6,3,7,5,4,2,8]=>[1,2,2,1,2]=>15
[6,8,1,3,7,5,4,2]=>[4,2,1,1]=>17
[7,1,3,5,6,4,2,8]=>[3,3,2]=>9
[7,3,1,6,4,5,2,8]=>[1,2,3,2]=>10
[7,4,2,6,5,1,3,8]=>[1,2,2,3]=>9
[7,4,6,3,1,5,2,8]=>[1,3,2,2]=>11
[7,2,4,1,5,3,6,8]=>[2,3,3]=>7
[7,2,3,5,4,1,6,8]=>[3,2,3]=>8
[6,8,1,2,3,4,7,5]=>[7,1]=>7
[1,5,7,2,3,8,6,4]=>[1,4,2,1]=>13
[5,1,8,2,3,6,7,4]=>[2,5,1]=>9
[5,8,2,3,7,6,4,1]=>[4,2,1,1]=>17
[6,2,8,1,3,7,4,5]=>[2,3,3]=>7
[6,8,2,3,5,4,7,1]=>[5,2,1]=>12
[6,8,2,4,1,5,7,3]=>[4,3,1]=>11
[6,8,3,1,2,4,7,5]=>[3,4,1]=>10
[2,6,4,1,5,7,3,8]=>[2,3,3]=>7
[2,6,3,5,7,1,4,8]=>[3,5]=>3
[2,5,1,7,8,3,6,4]=>[3,4,1]=>10
[2,5,3,6,8,4,7,1]=>[3,4,1]=>10
[2,1,4,7,8,5,6,3]=>[2,5,1]=>9
[2,4,7,6,8,5,1,3]=>[3,3,2]=>9
[2,5,3,7,6,1,8,4]=>[3,1,2,2]=>13
[2,5,7,8,1,4,6,3]=>[7,1]=>7
[3,5,7,4,1,6,2,8]=>[4,2,2]=>10
[5,3,4,1,8,6,7,2]=>[1,3,3,1]=>12
[5,2,8,4,6,1,7,3]=>[2,2,3,1]=>13
[5,2,1,8,6,3,7,4]=>[2,1,1,3,1]=>16
[4,2,8,6,5,3,7,1]=>[2,1,2,2,1]=>17
[4,2,8,5,7,6,3,1]=>[2,1,3,1,1]=>18
[1,4,2,7,5,8,6,3]=>[1,2,2,2,1]=>16
[4,1,8,6,7,5,3,2]=>[2,1,3,1,1]=>18
[5,3,8,7,6,2,4,1]=>[1,2,1,3,1]=>15
[5,8,4,7,6,2,1,3]=>[2,2,2,2]=>12
[5,8,7,4,3,6,1,2]=>[2,2,2,2]=>12
[6,4,8,3,1,7,2,5]=>[1,3,1,3]=>10
[6,4,2,8,7,1,3,5]=>[1,2,1,4]=>8
[6,3,8,7,2,5,1,4]=>[1,2,3,2]=>10
[5,8,3,7,1,6,4,2]=>[3,3,1,1]=>16
[5,1,3,8,6,7,2,4]=>[3,1,4]=>7
[1,5,3,7,8,6,2,4]=>[1,2,3,2]=>10
[1,5,7,6,4,2,8,3]=>[1,2,2,1,2]=>15
[5,8,7,4,1,6,2,3]=>[2,2,2,2]=>12
[6,4,8,1,2,7,3,5]=>[1,4,3]=>6
[6,8,5,1,2,3,7,4]=>[2,5,1]=>9
[6,8,5,2,4,3,7,1]=>[2,3,2,1]=>14
[6,8,5,3,1,2,7,4]=>[2,2,3,1]=>13
[4,5,1,2,7,6,3,8]=>[4,2,2]=>10
[4,5,1,2,6,8,7,3]=>[4,3,1]=>11
[3,5,6,1,8,4,7,2]=>[4,3,1]=>11
[3,5,7,1,2,8,6,4]=>[5,2,1]=>12
[3,6,2,7,5,1,4,8]=>[3,2,3]=>8
[4,2,6,1,7,3,5,8]=>[2,2,4]=>6
[4,6,3,1,2,7,5,8]=>[3,2,3]=>8
[4,5,3,1,7,6,2,8]=>[3,1,2,2]=>13
[4,2,5,7,1,6,3,8]=>[2,4,2]=>8
[3,5,2,7,8,1,6,4]=>[3,4,1]=>10
[3,1,4,7,5,6,2,8]=>[2,4,2]=>8
[3,4,6,5,8,7,1,2]=>[3,2,3]=>8
[3,1,4,5,8,6,7,2]=>[2,5,1]=>9
[3,4,6,8,5,2,7,1]=>[5,2,1]=>12
[3,5,6,2,8,4,7,1]=>[4,3,1]=>11
[4,2,5,6,1,8,7,3]=>[2,3,2,1]=>14
[4,5,3,1,6,8,7,2]=>[3,1,3,1]=>14
[2,1,7,5,8,6,4,3]=>[2,1,3,1,1]=>18
[1,2,7,5,3,8,6,4]=>[2,1,2,2,1]=>17
[4,1,2,7,3,8,6,5]=>[3,2,2,1]=>15
[6,4,1,7,5,2,3,8]=>[1,2,2,3]=>9
[6,1,3,7,5,2,4,8]=>[3,2,3]=>8
[3,1,2,6,8,5,4,7]=>[3,3,2]=>9
[3,7,1,2,5,4,8,6]=>[5,1,2]=>11
[1,3,7,2,4,8,6,5]=>[1,4,2,1]=>13
[2,4,1,7,8,6,5,3]=>[3,3,1,1]=>16
[3,4,7,5,1,8,6,2]=>[3,2,2,1]=>15
[2,7,4,1,5,8,6,3]=>[2,3,2,1]=>14
[2,3,7,1,5,8,6,4]=>[5,2,1]=>12
[5,2,8,1,3,7,4,6]=>[2,3,3]=>7
[2,1,6,8,3,4,7,5]=>[2,5,1]=>9
[2,6,8,3,1,5,7,4]=>[4,3,1]=>11
[2,8,6,4,1,5,7,3]=>[2,2,3,1]=>13
[3,6,4,8,5,1,7,2]=>[2,3,2,1]=>14
[6,3,7,4,5,1,8,2]=>[1,4,1,2]=>12
[2,6,3,7,5,8,1,4]=>[3,2,3]=>8
[5,2,1,7,8,3,4,6]=>[2,1,5]=>5
[4,7,2,3,6,8,1,5]=>[4,4]=>4
[5,2,7,3,6,8,1,4]=>[2,2,4]=>6
[5,7,4,6,2,8,1,3]=>[2,3,3]=>7
[5,7,3,4,6,1,8,2]=>[4,2,2]=>10
[5,3,8,4,6,1,7,2]=>[1,3,3,1]=>12
[8,5,2,4,1,6,7,3]=>[1,3,3,1]=>12
[8,2,3,5,1,6,7,4]=>[3,4,1]=>10
[4,2,8,3,6,7,1,5]=>[2,2,4]=>6
[2,4,8,1,7,3,5,6]=>[4,4]=>4
[8,4,1,3,6,2,5,7]=>[1,3,4]=>5
[4,8,3,1,7,2,5,6]=>[3,1,4]=>7
[5,2,8,4,7,1,6,3]=>[2,2,3,1]=>13
[5,8,4,7,3,1,6,2]=>[2,3,2,1]=>14
[4,6,8,3,1,7,5,2]=>[4,1,2,1]=>16
[6,3,8,2,7,1,5,4]=>[1,3,3,1]=>12
[6,3,1,8,2,4,7,5]=>[1,2,4,1]=>11
[5,3,8,1,2,6,4,7]=>[1,5,2]=>7
[5,7,4,1,6,2,3,8]=>[2,2,4]=>6
[8,5,4,1,2,6,3,7]=>[1,1,4,2]=>9
[5,1,8,4,2,7,3,6]=>[2,2,1,3]=>11
[1,6,2,8,5,3,7,4]=>[1,2,2,2,1]=>16
[6,8,5,3,1,7,4,2]=>[2,2,1,2,1]=>18
[8,4,5,1,2,6,3,7]=>[1,5,2]=>7
[5,6,3,7,1,2,4,8]=>[3,5]=>3
[1,6,3,7,2,8,4,5]=>[1,2,2,3]=>9
[6,3,2,7,8,5,1,4]=>[1,2,3,2]=>10
[4,5,7,8,3,1,6,2]=>[5,2,1]=>12
[4,7,2,5,8,1,6,3]=>[3,4,1]=>10
[8,1,3,4,6,2,5,7]=>[4,4]=>4
[3,8,2,4,6,7,1,5]=>[4,4]=>4
[3,5,6,8,2,7,1,4]=>[5,3]=>5
[2,4,5,6,8,1,7,3]=>[7,1]=>7
[4,8,3,5,6,1,7,2]=>[3,4,1]=>10
[5,6,2,3,7,8,1,4]=>[4,4]=>4
[5,8,7,3,4,1,2,6]=>[2,3,3]=>7
[6,8,7,3,4,1,2,5]=>[2,3,3]=>7
[6,8,4,7,1,5,3,2]=>[2,4,1,1]=>15
[6,8,4,7,2,5,3,1]=>[2,4,1,1]=>15
[5,4,8,7,2,6,3,1]=>[1,2,3,1,1]=>17
[5,4,8,7,1,6,3,2]=>[1,2,3,1,1]=>17
[5,3,8,7,6,1,2,4]=>[1,2,1,4]=>8
[4,3,8,7,6,1,2,5]=>[1,2,1,4]=>8
[4,8,3,7,5,1,2,6]=>[3,2,3]=>8
[8,3,4,6,5,1,2,7]=>[1,4,3]=>6
[3,8,4,7,5,1,2,6]=>[2,3,3]=>7
[3,4,8,7,6,1,2,5]=>[3,1,4]=>7
[3,5,8,7,6,1,2,4]=>[3,1,4]=>7
[4,5,8,7,6,1,2,3]=>[3,1,4]=>7
[4,5,8,7,1,6,3,2]=>[3,3,1,1]=>16
[4,5,8,7,2,6,3,1]=>[3,3,1,1]=>16
[3,5,8,2,7,6,4,1]=>[4,2,1,1]=>17
[3,5,8,1,7,6,4,2]=>[4,2,1,1]=>17
[2,5,8,1,7,6,4,3]=>[4,2,1,1]=>17
[2,5,8,7,1,6,3,4]=>[3,3,2]=>9
[2,4,8,7,1,6,3,5]=>[3,3,2]=>9
[2,8,4,7,1,5,3,6]=>[2,4,2]=>8
[8,2,4,6,1,5,3,7]=>[2,4,2]=>8
[8,1,4,6,2,5,3,7]=>[2,4,2]=>8
[1,8,4,7,2,5,3,6]=>[1,1,4,2]=>9
[1,4,8,7,2,6,3,5]=>[1,2,3,2]=>10
[1,5,8,7,2,6,3,4]=>[1,2,3,2]=>10
[1,5,8,2,7,6,4,3]=>[1,3,2,1,1]=>18
[2,5,8,3,7,6,4,1]=>[4,2,1,1]=>17
[1,4,2,8,7,6,5,3]=>[1,2,1,2,1,1]=>21
[1,3,8,2,7,6,4,5]=>[1,3,2,2]=>11
[1,8,3,2,7,5,4,6]=>[1,2,1,2,2]=>14
[8,1,3,2,6,5,4,7]=>[3,1,2,2]=>13
[8,2,3,1,6,5,4,7]=>[3,1,2,2]=>13
[2,8,3,1,7,5,4,6]=>[3,1,2,2]=>13
[2,3,8,1,7,6,4,5]=>[4,2,2]=>10
[3,4,1,8,7,6,5,2]=>[3,1,2,1,1]=>20
[4,3,1,8,7,6,5,2]=>[1,2,1,2,1,1]=>21
[4,2,1,8,7,6,5,3]=>[2,1,1,2,1,1]=>22
[3,8,2,1,7,5,4,6]=>[3,1,2,2]=>13
[8,3,2,1,6,5,4,7]=>[1,2,1,2,2]=>14
[8,4,2,6,1,5,3,7]=>[1,2,3,2]=>10
[4,2,8,7,1,6,3,5]=>[2,1,3,2]=>11
[5,2,8,7,1,6,3,4]=>[2,1,3,2]=>11
[5,2,8,1,7,6,4,3]=>[2,2,2,1,1]=>19
[5,3,8,1,7,6,4,2]=>[1,3,2,1,1]=>18
[5,3,8,2,7,6,4,1]=>[1,3,2,1,1]=>18
[6,8,3,2,7,5,4,1]=>[3,1,2,1,1]=>20
[6,8,3,1,7,5,4,2]=>[3,1,2,1,1]=>20
[6,8,2,1,7,5,4,3]=>[3,1,2,1,1]=>20
[6,8,2,7,1,5,3,4]=>[3,3,2]=>9
[6,8,7,2,1,4,3,5]=>[2,2,2,2]=>12
[8,5,6,1,2,4,3,7]=>[1,5,2]=>7
[5,8,7,1,2,4,3,6]=>[2,4,2]=>8
[6,8,1,2,7,5,4,3]=>[4,2,1,1]=>17
[6,8,2,3,7,5,4,1]=>[4,2,1,1]=>17
[5,2,8,3,7,6,4,1]=>[2,2,2,1,1]=>19
[5,1,8,3,7,6,4,2]=>[2,2,2,1,1]=>19
[5,1,8,7,2,6,3,4]=>[2,1,3,2]=>11
[4,1,8,7,2,6,3,5]=>[2,1,3,2]=>11
[4,8,1,7,2,5,3,6]=>[3,3,2]=>9
[8,4,1,6,2,5,3,7]=>[1,2,3,2]=>10
[8,3,1,2,6,5,4,7]=>[1,3,2,2]=>11
[3,8,1,2,7,5,4,6]=>[4,2,2]=>10
[3,1,8,2,7,6,4,5]=>[2,2,2,2]=>12
[3,1,2,8,7,6,5,4]=>[3,1,2,1,1]=>20
[4,1,3,8,7,6,5,2]=>[3,1,2,1,1]=>20
[3,1,4,8,7,6,5,2]=>[2,2,2,1,1]=>19
[2,1,8,3,7,6,4,5]=>[2,2,2,2]=>12
[2,8,1,3,7,5,4,6]=>[4,2,2]=>10
[8,2,1,3,6,5,4,7]=>[2,2,2,2]=>12
[8,1,2,3,6,5,4,7]=>[4,2,2]=>10
[1,8,2,3,7,5,4,6]=>[1,3,2,2]=>11
[1,2,8,3,7,6,4,5]=>[2,2,2,2]=>12
[1,4,3,6,8,2,5,7]=>[1,2,5]=>4
[3,1,6,2,5,8,4,7]=>[2,3,3]=>7
[3,5,1,8,2,4,7,6]=>[3,4,1]=>10
[1,4,5,2,8,3,7,6]=>[1,3,3,1]=>12
[1,4,2,6,5,8,3,7]=>[1,2,2,3]=>9
[1,5,4,2,6,8,3,7]=>[1,1,2,4]=>7
[3,1,6,5,8,2,4,7]=>[2,1,5]=>5
[1,6,4,2,5,8,3,7]=>[1,1,3,3]=>8
[1,5,2,6,4,8,3,7]=>[1,2,2,3]=>9
[1,2,6,5,4,8,3,7]=>[2,1,2,3]=>10
[1,2,5,4,7,3,8,6]=>[2,2,2,2]=>12
[4,1,2,6,3,8,7,5]=>[3,2,2,1]=>15
[7,1,5,4,2,8,3,6]=>[2,2,1,3]=>11
[1,4,7,5,2,8,3,6]=>[1,2,2,3]=>9
[7,1,3,5,2,8,4,6]=>[3,2,3]=>8
[7,2,5,1,8,3,4,6]=>[2,2,4]=>6
[1,4,5,2,8,7,3,6]=>[1,3,1,3]=>10
[1,6,4,2,8,3,7,5]=>[1,1,2,3,1]=>14
[1,4,2,8,3,7,6,5]=>[1,2,2,2,1]=>16
[1,2,5,3,8,7,6,4]=>[2,2,1,2,1]=>18
[1,2,8,6,5,3,7,4]=>[2,1,2,2,1]=>17
[1,5,2,8,6,3,7,4]=>[1,2,1,3,1]=>15
[1,6,4,2,8,7,3,5]=>[1,1,2,1,3]=>12
[6,2,1,8,7,3,4,5]=>[2,1,1,4]=>9
[7,6,2,1,8,3,4,5]=>[1,2,1,4]=>8
[7,3,1,6,2,8,4,5]=>[1,2,2,3]=>9
[1,7,6,4,2,8,3,5]=>[1,1,2,1,3]=>12
[1,7,5,2,6,3,8,4]=>[1,1,2,2,2]=>13
[1,6,2,7,5,3,8,4]=>[1,2,2,1,2]=>15
[1,2,7,6,5,3,8,4]=>[2,1,2,1,2]=>16
[1,2,6,5,3,8,7,4]=>[2,1,2,2,1]=>17
[1,5,2,6,3,8,7,4]=>[1,2,2,2,1]=>16
[1,5,2,7,6,3,8,4]=>[1,2,1,2,2]=>14
[1,6,5,2,7,3,8,4]=>[1,1,2,2,2]=>13
[1,5,7,4,2,8,3,6]=>[1,3,1,3]=>10
[4,1,2,8,6,3,7,5]=>[3,1,3,1]=>14
[3,1,8,6,2,4,7,5]=>[2,1,4,1]=>12
[4,3,7,1,8,2,5,6]=>[1,3,4]=>5
[8,3,1,6,2,4,7,5]=>[1,2,4,1]=>11
[7,1,8,3,2,4,6,5]=>[2,2,3,1]=>13
[1,8,7,3,2,4,6,5]=>[1,1,2,3,1]=>14
[1,4,2,8,7,3,6,5]=>[1,2,1,3,1]=>15
[1,7,4,2,8,3,6,5]=>[1,1,2,3,1]=>14
[8,1,5,4,2,7,3,6]=>[2,2,1,3]=>11
[1,4,8,5,2,7,3,6]=>[1,2,2,3]=>9
[8,5,3,1,7,2,4,6]=>[1,2,1,4]=>8
[8,6,2,1,7,3,4,5]=>[1,2,1,4]=>8
[1,8,6,4,2,7,3,5]=>[1,1,2,1,3]=>12
[1,8,5,2,6,3,7,4]=>[1,1,2,3,1]=>14
[1,5,2,7,3,8,6,4]=>[1,2,2,2,1]=>16
[1,2,8,5,3,7,6,4]=>[2,1,2,2,1]=>17
[1,2,6,3,8,7,5,4]=>[2,2,1,2,1]=>18
[1,2,7,6,3,8,5,4]=>[2,1,2,2,1]=>17
[1,6,2,7,3,8,5,4]=>[1,2,2,2,1]=>16
[1,7,2,8,5,3,6,4]=>[1,2,2,2,1]=>16
[1,7,4,2,8,6,3,5]=>[1,1,2,2,2]=>13
[7,1,8,3,2,6,4,5]=>[2,2,2,2]=>12
[7,2,1,8,6,3,4,5]=>[2,1,1,4]=>9
[1,8,7,3,2,6,4,5]=>[1,1,2,2,2]=>13
[1,4,2,8,7,6,3,5]=>[1,2,1,2,2]=>14
[1,2,8,7,5,3,6,4]=>[2,1,2,2,1]=>17
[1,2,8,6,3,7,5,4]=>[2,1,2,2,1]=>17
[1,2,7,3,8,6,5,4]=>[2,2,2,1,1]=>19
[4,1,7,3,6,5,8,2]=>[2,2,2,2]=>12
[5,1,8,7,6,2,4,3]=>[2,1,1,3,1]=>16
[8,1,7,6,3,4,5,2]=>[2,1,4,1]=>12
[5,7,8,6,2,4,1,3]=>[3,3,2]=>9
[5,7,1,6,2,4,3,8]=>[3,3,2]=>9
[6,4,1,5,2,7,3,8]=>[1,2,2,3]=>9
[8,1,4,5,3,7,6,2]=>[2,3,2,1]=>14
[6,1,4,5,3,8,7,2]=>[2,3,2,1]=>14
[6,1,4,5,3,7,8,2]=>[2,3,3]=>7
[5,1,7,8,6,2,4,3]=>[2,2,3,1]=>13
[6,1,4,8,3,5,7,2]=>[2,5,1]=>9
[7,1,8,6,3,4,5,2]=>[2,1,4,1]=>12
[7,1,4,5,3,8,6,2]=>[2,3,2,1]=>14
[7,1,4,5,3,6,8,2]=>[2,4,2]=>8
[8,1,4,5,3,6,7,2]=>[2,5,1]=>9
[7,4,1,5,2,6,3,8]=>[1,2,3,2]=>10
[6,3,5,7,2,1,4,8]=>[1,4,3]=>6
[6,3,5,8,2,1,7,4]=>[1,4,2,1]=>13
[6,3,5,7,2,1,8,4]=>[1,4,1,2]=>12
[8,4,5,7,3,6,1,2]=>[1,5,2]=>7
[6,4,5,8,3,7,2,1]=>[1,4,2,1]=>13
[5,8,7,6,2,4,1,3]=>[2,1,3,2]=>11
[5,4,8,6,3,1,7,2]=>[1,2,2,2,1]=>16
[5,4,1,8,2,3,7,6]=>[1,2,4,1]=>11
[5,8,1,6,2,4,3,7]=>[3,3,2]=>9
[8,4,1,5,2,6,3,7]=>[1,2,3,2]=>10
[6,3,5,8,2,1,4,7]=>[1,4,3]=>6
[2,3,4,1,8,6,5,7]=>[4,2,2]=>10
[8,3,5,6,2,1,4,7]=>[1,4,3]=>6
[2,3,8,5,1,4,7,6]=>[3,4,1]=>10
[2,3,8,6,1,5,7,4]=>[3,4,1]=>10
[2,8,6,7,1,3,5,4]=>[2,5,1]=>9
[8,3,5,7,2,1,6,4]=>[1,4,2,1]=>13
[2,3,8,5,6,1,7,4]=>[3,4,1]=>10
[7,4,5,6,3,1,8,2]=>[1,4,1,2]=>12
[8,4,5,6,3,1,7,2]=>[1,4,2,1]=>13
[7,3,5,6,2,8,1,4]=>[1,4,3]=>6
[7,3,5,8,2,1,6,4]=>[1,4,2,1]=>13
[7,3,5,6,2,1,4,8]=>[1,4,3]=>6
[2,7,6,5,1,3,4,8]=>[2,1,5]=>5
[2,7,6,8,1,3,5,4]=>[2,5,1]=>9
[2,7,6,5,8,3,1,4]=>[2,1,3,2]=>11
[8,7,5,6,1,4,2,3]=>[1,1,4,2]=>9
[2,6,4,1,8,5,7,3]=>[2,2,3,1]=>13
[2,6,1,3,8,5,7,4]=>[4,3,1]=>11
[2,7,1,3,6,5,8,4]=>[4,2,2]=>10
[2,7,6,8,4,3,1,5]=>[2,3,1,2]=>13
[2,7,6,1,8,3,4,5]=>[2,2,4]=>6
[2,7,6,1,4,3,5,8]=>[2,3,3]=>7
[7,3,5,1,2,8,4,6]=>[1,4,3]=>6
[8,4,1,5,2,3,7,6]=>[1,2,4,1]=>11
[7,8,1,6,3,4,2,5]=>[3,3,2]=>9
[6,4,1,8,3,2,7,5]=>[1,2,2,2,1]=>16
[2,3,8,6,4,1,7,5]=>[3,2,2,1]=>15
[2,8,6,7,4,3,1,5]=>[2,3,1,2]=>13
[8,3,5,7,2,4,1,6]=>[1,5,2]=>7
[2,3,4,1,8,7,5,6]=>[4,1,3]=>9
[2,8,6,1,7,3,4,5]=>[2,2,4]=>6
[2,3,8,1,6,4,7,5]=>[4,3,1]=>11
[2,3,8,1,4,5,7,6]=>[7,1]=>7
[2,8,6,1,4,3,5,7]=>[2,3,3]=>7
[1,8,2,3,4,5,6,9,7]=>[1,6,2]=>8
[8,4,3,6,5,1,7,2]=>[1,2,2,2,1]=>16
[8,5,6,3,4,1,7,2]=>[1,4,2,1]=>13
[8,6,5,4,3,1,7,2]=>[1,1,2,1,2,1]=>19
[1,7,6,5,4,2,3,8]=>[1,1,1,2,3]=>11
[1,8,6,5,2,7,3,4]=>[1,1,1,2,3]=>11
[8,7,5,4,1,6,3,2]=>[1,1,2,2,1,1]=>20
[7,8,5,4,1,3,6,2]=>[2,2,3,1]=>13
[6,8,5,4,2,1,7,3]=>[2,2,1,2,1]=>18
[5,8,6,2,4,1,7,3]=>[2,3,2,1]=>14
[4,8,2,6,5,1,7,3]=>[3,2,2,1]=>15
[3,2,8,6,5,1,7,4]=>[2,1,2,2,1]=>17
[3,2,1,7,6,4,5,8]=>[2,1,1,4]=>9
[4,1,3,7,6,2,5,8]=>[3,1,4]=>7
[5,1,7,3,6,2,4,8]=>[2,2,4]=>6
[6,1,7,5,3,2,4,8]=>[2,1,2,3]=>10
[7,1,6,5,2,4,3,8]=>[2,1,3,2]=>11
[8,1,6,5,2,3,7,4]=>[2,1,4,1]=>12
[1,2,7,6,3,4,5,8]=>[2,1,5]=>5
[1,2,8,3,7,4,5,6]=>[2,2,4]=>6
[8,1,7,2,6,3,5,4]=>[2,2,3,1]=>13
[7,1,8,2,6,4,3,5]=>[2,2,2,2]=>12
[6,1,8,2,4,7,3,5]=>[2,3,3]=>7
[5,1,8,3,2,7,4,6]=>[2,2,1,3]=>11
[4,1,3,8,2,7,5,6]=>[3,2,3]=>8
[3,2,1,8,4,7,5,6]=>[2,1,2,3]=>10
[3,2,8,7,1,6,5,4]=>[2,1,3,1,1]=>18
[4,8,2,7,1,6,5,3]=>[3,3,1,1]=>16
[5,8,7,2,1,6,4,3]=>[2,2,2,1,1]=>19
[6,8,7,1,3,5,4,2]=>[2,4,1,1]=>15
[7,8,6,1,5,3,4,2]=>[2,3,2,1]=>14
[8,7,6,1,5,4,3,2]=>[1,1,3,1,1,1]=>21
[1,8,7,2,6,5,3,4]=>[1,1,2,2,2]=>13
[1,7,8,2,5,6,3,4]=>[1,5,2]=>7
[8,6,7,1,4,5,3,2]=>[1,5,1,1]=>14
[7,6,8,1,4,3,5,2]=>[1,4,2,1]=>13
[6,5,8,3,2,1,7,4]=>[1,3,1,2,1]=>17
[7,5,8,3,1,4,6,2]=>[1,3,3,1]=>12
[8,5,7,3,1,6,4,2]=>[1,3,2,1,1]=>18
[1,6,8,4,2,7,3,5]=>[1,3,1,3]=>10
[1,5,4,8,2,7,3,6]=>[1,1,3,3]=>8
[8,4,3,7,1,6,5,2]=>[1,2,3,1,1]=>17
[7,4,3,8,1,5,6,2]=>[1,2,4,1]=>11
[6,4,3,1,5,2,7,8]=>[1,2,2,3]=>9
[7,4,3,1,2,6,5,8]=>[1,2,3,2]=>10
[8,4,3,1,2,5,7,6]=>[1,2,4,1]=>11
[1,5,4,2,3,6,7,8]=>[1,1,6]=>3
[8,5,1,4,2,3,7,6]=>[1,3,3,1]=>12
[7,5,1,4,2,6,3,8]=>[1,3,2,2]=>11
[6,5,1,4,3,2,7,8]=>[1,3,1,3]=>10
[5,6,1,3,4,2,7,8]=>[5,3]=>5
[4,6,2,1,5,3,7,8]=>[3,2,3]=>8
[3,2,6,1,5,4,7,8]=>[2,3,3]=>7
[3,2,7,1,4,6,5,8]=>[2,4,2]=>8
[4,7,2,1,3,6,5,8]=>[3,3,2]=>9
[5,7,1,3,2,6,4,8]=>[4,2,2]=>10
[6,7,1,2,4,5,3,8]=>[6,2]=>6
[7,6,1,2,5,4,3,8]=>[1,4,1,2]=>12
[8,6,1,2,5,3,7,4]=>[1,4,2,1]=>13
[1,7,2,3,6,4,5,8]=>[1,3,4]=>5
[8,7,1,2,3,6,5,4]=>[1,5,1,1]=>14
[7,8,1,2,3,5,6,4]=>[7,1]=>7
[6,8,1,2,4,3,7,5]=>[5,2,1]=>12
[5,8,1,3,2,4,7,6]=>[4,3,1]=>11
[4,8,2,1,3,5,7,6]=>[3,4,1]=>10
[3,2,8,1,4,5,7,6]=>[2,5,1]=>9
[4,1,3,2,5,6,7,8]=>[3,5]=>3
[5,1,2,4,3,6,7,8]=>[4,4]=>4
[6,1,2,3,5,4,7,8]=>[5,3]=>5
[7,1,2,3,4,6,5,8]=>[6,2]=>6
[8,1,2,3,4,5,7,6]=>[7,1]=>7
[6,7,3,8,5,1,2,4]=>[3,2,3]=>8
[6,7,4,5,1,8,3,2]=>[2,3,2,1]=>14
[5,4,7,6,8,1,2,3]=>[1,2,5]=>4
[5,3,7,8,6,1,2,4]=>[1,3,4]=>5
[3,8,4,5,7,1,2,6]=>[2,6]=>2
[3,4,8,6,7,1,2,5]=>[3,5]=>3
[4,5,6,7,1,8,3,2]=>[5,2,1]=>12
[3,5,6,2,7,4,8,1]=>[4,2,2]=>10
[3,5,6,1,7,8,4,2]=>[4,3,1]=>11
[2,5,6,1,8,7,4,3]=>[4,1,2,1]=>16
[2,5,6,8,1,7,3,4]=>[5,3]=>5
[8,2,4,5,1,6,3,7]=>[2,4,2]=>8
[1,4,8,6,2,3,7,5]=>[1,2,4,1]=>11
[1,5,6,8,2,3,7,4]=>[1,6,1]=>8
[1,5,6,2,8,4,7,3]=>[1,3,3,1]=>12
[2,5,6,3,4,7,8,1]=>[5,3]=>5
[1,4,2,6,8,5,7,3]=>[1,2,4,1]=>11
[8,1,3,2,5,4,6,7]=>[3,2,3]=>8
[8,2,3,1,5,6,4,7]=>[3,3,2]=>9
[2,8,3,1,5,7,4,6]=>[3,2,3]=>8
[2,4,1,6,8,7,5,3]=>[3,2,2,1]=>15
[3,4,1,6,7,8,5,2]=>[3,4,1]=>10
[4,3,1,7,6,8,5,2]=>[1,2,1,3,1]=>15
[5,2,7,8,1,6,3,4]=>[2,4,2]=>8
[5,3,7,2,6,4,8,1]=>[1,3,2,2]=>11
[6,7,3,1,5,8,4,2]=>[3,2,2,1]=>15
[6,7,2,1,8,5,4,3]=>[3,1,2,1,1]=>20
[6,7,2,8,1,5,3,4]=>[3,3,2]=>9
[6,7,8,2,1,4,3,5]=>[4,2,2]=>10
[6,7,1,2,8,4,5,3]=>[4,3,1]=>11
[6,7,1,3,4,8,5,2]=>[5,2,1]=>12
[5,2,7,3,4,6,8,1]=>[2,4,2]=>8
[5,1,7,3,4,8,6,2]=>[2,3,2,1]=>14
[5,1,7,8,2,3,6,4]=>[2,5,1]=>9
[4,1,8,7,2,3,6,5]=>[2,1,4,1]=>12
[3,8,1,2,7,4,5,6]=>[4,4]=>4
[4,1,3,7,5,8,6,2]=>[3,2,2,1]=>15
[3,1,4,5,7,8,6,2]=>[2,5,1]=>9
[2,1,8,3,4,7,6,5]=>[2,3,2,1]=>14
[8,2,1,3,4,6,5,7]=>[2,4,2]=>8
[1,8,2,3,4,5,7,6]=>[1,6,1]=>8
[1,2,8,3,4,6,7,5]=>[2,5,1]=>9
[4,2,1,6,5,8,7,3]=>[2,1,2,2,1]=>17
[5,2,6,1,4,8,7,3]=>[2,3,2,1]=>14
[5,2,6,4,1,8,7,3]=>[2,2,1,2,1]=>18
[5,2,7,4,8,1,6,3]=>[2,2,3,1]=>13
[5,2,7,4,8,6,1,3]=>[2,2,2,2]=>12
[5,7,2,3,8,6,1,4]=>[4,2,2]=>10
[5,7,2,3,8,1,6,4]=>[4,3,1]=>11
[5,6,2,3,1,8,7,4]=>[4,1,2,1]=>16
[5,6,2,1,3,8,7,4]=>[3,2,2,1]=>15
[5,1,6,4,2,8,7,3]=>[2,2,1,2,1]=>18
[5,6,1,3,2,8,7,4]=>[4,1,2,1]=>16
[5,6,3,1,2,8,7,4]=>[3,2,2,1]=>15
[5,6,3,2,1,8,7,4]=>[3,1,1,2,1]=>19
[5,7,3,2,8,1,6,4]=>[3,1,3,1]=>14
[5,7,3,2,8,6,1,4]=>[3,1,2,2]=>13
[6,7,3,8,2,1,5,4]=>[3,2,2,1]=>15
[6,7,3,8,1,2,5,4]=>[3,4,1]=>10
[5,7,3,1,8,2,6,4]=>[3,1,3,1]=>14
[5,7,1,3,8,2,6,4]=>[4,3,1]=>11
[5,1,7,4,8,2,6,3]=>[2,2,3,1]=>13
[1,5,7,4,8,3,6,2]=>[1,3,3,1]=>12
[1,5,7,4,8,6,3,2]=>[1,3,2,1,1]=>18
[5,1,7,4,8,6,2,3]=>[2,2,2,2]=>12
[5,7,1,3,8,6,2,4]=>[4,2,2]=>10
[5,7,3,1,8,6,2,4]=>[3,1,2,2]=>13
[6,7,3,8,1,5,2,4]=>[3,3,2]=>9
[6,7,3,8,5,2,1,4]=>[3,2,1,2]=>14
[6,7,8,3,1,4,2,5]=>[4,2,2]=>10
[6,7,1,8,3,5,2,4]=>[3,3,2]=>9
[6,1,7,8,4,5,2,3]=>[2,4,2]=>8
[1,6,7,8,4,5,3,2]=>[1,5,1,1]=>14
[1,6,7,8,4,3,5,2]=>[1,4,2,1]=>13
[6,1,7,8,4,2,5,3]=>[2,3,2,1]=>14
[6,7,1,8,3,2,5,4]=>[3,2,2,1]=>15
[5,7,2,1,8,3,6,4]=>[3,1,3,1]=>14
[6,7,2,8,1,3,5,4]=>[3,4,1]=>10
[6,7,2,8,3,1,5,4]=>[3,2,2,1]=>15
[6,7,2,8,3,5,1,4]=>[3,3,2]=>9
[6,2,7,8,4,5,1,3]=>[2,4,2]=>8
[6,2,7,8,4,1,5,3]=>[2,3,2,1]=>14
[6,2,7,8,1,4,5,3]=>[2,5,1]=>9
[5,2,7,1,8,4,6,3]=>[2,2,3,1]=>13
[4,2,1,7,8,5,6,3]=>[2,1,4,1]=>12
[4,1,2,7,8,6,5,3]=>[3,3,1,1]=>16
[6,2,7,8,1,5,4,3]=>[2,4,1,1]=>15
[6,2,7,8,5,1,4,3]=>[2,3,2,1]=>14
[6,2,7,8,5,4,1,3]=>[2,3,1,2]=>13
[6,7,2,8,5,3,1,4]=>[3,2,1,2]=>14
[5,7,2,1,8,6,3,4]=>[3,1,2,2]=>13
[5,7,1,2,8,6,3,4]=>[4,2,2]=>10
[5,1,7,2,8,6,4,3]=>[2,2,2,1,1]=>19
[1,5,7,3,8,6,4,2]=>[1,3,2,1,1]=>18
[1,6,7,8,3,5,4,2]=>[1,5,1,1]=>14
[6,1,7,8,2,5,4,3]=>[2,4,1,1]=>15
[6,7,1,8,2,5,3,4]=>[3,3,2]=>9
[6,7,8,2,4,1,3,5]=>[5,3]=>5
[6,7,8,2,4,3,1,5]=>[5,1,2]=>11
[6,7,1,8,5,2,3,4]=>[3,2,3]=>8
[6,1,7,8,5,2,4,3]=>[2,3,2,1]=>14
[1,6,7,8,5,3,4,2]=>[1,4,2,1]=>13
[6,1,7,8,5,4,2,3]=>[2,3,1,2]=>13
[6,7,1,8,5,3,2,4]=>[3,2,1,2]=>14
[6,7,8,4,1,3,2,5]=>[4,2,2]=>10
[6,3,8,5,2,7,4,1]=>[1,2,2,2,1]=>16
[6,5,2,8,4,7,3,1]=>[1,2,2,2,1]=>16
[6,3,4,5,8,7,2,1]=>[1,4,2,1]=>13
[3,8,4,7,5,2,1,6]=>[2,3,1,2]=>13
[5,8,1,4,7,2,3,6]=>[4,4]=>4
[5,6,1,4,8,7,3,2]=>[4,1,2,1]=>16
[3,6,4,8,5,7,1,2]=>[2,3,3]=>7
[5,1,4,8,6,3,7,2]=>[2,2,3,1]=>13
[3,4,7,1,8,6,5,2]=>[4,2,1,1]=>17
[6,3,8,4,2,7,1,5]=>[1,3,1,3]=>10
[3,6,8,7,1,4,2,5]=>[3,3,2]=>9
[5,3,7,1,6,8,2,4]=>[1,3,4]=>5
[4,3,8,5,6,7,2,1]=>[1,2,4,1]=>11
[5,8,1,7,6,2,4,3]=>[3,1,3,1]=>14
[4,6,1,2,7,8,5,3]=>[4,3,1]=>11
[3,6,4,2,8,7,5,1]=>[2,2,1,2,1]=>18
[6,3,7,5,2,8,1,4]=>[1,2,2,3]=>9
[6,5,2,7,4,8,1,3]=>[1,2,2,3]=>9
[5,7,1,4,8,3,2,6]=>[4,2,2]=>10
[7,8,3,5,1,4,6,2]=>[3,4,1]=>10
[5,8,1,4,6,7,2,3]=>[4,4]=>4
[6,5,8,4,3,7,2,1]=>[1,3,1,2,1]=>17
[6,3,7,4,2,8,5,1]=>[1,3,1,2,1]=>17
[8,7,1,6,2,4,5,3]=>[1,2,4,1]=>11
[3,8,6,7,1,4,5,2]=>[2,5,1]=>9
[5,3,8,7,4,1,2,6]=>[1,2,2,3]=>9
[4,3,8,7,1,5,6,2]=>[1,2,4,1]=>11
[8,3,6,1,2,5,7,4]=>[1,6,1]=>8
[5,6,1,8,7,3,2,4]=>[3,1,2,2]=>13
[5,4,2,7,3,6,8,1]=>[1,2,3,2]=>10
[7,5,3,6,4,2,8,1]=>[1,2,2,1,2]=>15
[6,4,1,5,3,8,2,7]=>[1,2,2,3]=>9
[8,5,2,6,4,7,3,1]=>[1,2,2,2,1]=>16
[8,2,6,3,4,7,5,1]=>[2,3,2,1]=>14
[7,2,6,3,5,4,8,1]=>[2,3,1,2]=>13
[6,2,7,4,3,5,8,1]=>[2,2,2,2]=>12
[5,7,3,6,4,2,8,1]=>[3,2,1,2]=>14
[3,7,6,4,5,2,8,1]=>[2,3,1,2]=>13
[2,7,6,5,3,4,8,1]=>[2,1,3,2]=>11
[6,5,4,3,1,8,2,7]=>[1,1,2,1,3]=>12
[8,6,5,4,2,7,3,1]=>[1,1,2,1,2,1]=>19
[8,5,4,1,7,2,6,3]=>[1,1,2,3,1]=>14
[7,5,4,1,8,3,2,6]=>[1,1,2,2,2]=>13
[1,6,5,2,8,3,4,7]=>[1,1,2,4]=>7
[5,7,4,2,1,8,3,6]=>[2,2,1,3]=>11
[1,6,5,3,4,8,2,7]=>[1,1,3,3]=>8
[5,4,6,3,1,8,2,7]=>[1,3,1,3]=>10
[6,5,8,4,2,7,3,1]=>[1,3,1,2,1]=>17
[5,8,2,6,4,7,3,1]=>[3,2,2,1]=>15
[3,8,6,2,5,7,4,1]=>[2,3,2,1]=>14
[7,8,5,3,2,6,4,1]=>[2,2,2,1,1]=>19
[6,8,3,1,7,2,5,4]=>[3,1,3,1]=>14
[1,8,6,3,7,5,2,4]=>[1,1,2,2,2]=>13
[8,7,5,2,6,4,3,1]=>[1,1,2,2,1,1]=>20
[8,7,1,6,2,5,4,3]=>[1,2,3,1,1]=>17
[7,8,1,6,3,2,5,4]=>[3,2,2,1]=>15
[2,8,1,7,3,5,6,4]=>[3,4,1]=>10
[3,8,6,1,7,4,5,2]=>[2,2,3,1]=>13
[4,8,1,3,7,2,6,5]=>[4,3,1]=>11
[4,2,8,5,7,3,6,1]=>[2,1,4,1]=>12
[5,1,7,6,8,3,2,4]=>[2,1,3,2]=>11
[3,7,1,5,8,4,2,6]=>[3,3,2]=>9
[6,7,3,1,8,4,2,5]=>[3,1,2,2]=>13
[1,7,3,8,4,5,2,6]=>[1,2,3,2]=>10
[1,7,2,8,5,3,4,6]=>[1,2,2,3]=>9
[7,6,1,8,4,3,2,5]=>[1,2,2,1,2]=>15
[8,6,1,7,4,2,5,3]=>[1,2,2,2,1]=>16
[8,1,2,7,3,4,6,5]=>[3,4,1]=>10
[7,1,2,8,3,5,4,6]=>[3,3,2]=>9
[7,2,6,1,8,4,3,5]=>[2,2,2,2]=>12
[8,2,6,1,7,3,5,4]=>[2,2,3,1]=>13
[8,3,1,4,7,5,6,2]=>[1,3,3,1]=>12
[7,3,1,5,8,4,2,6]=>[1,2,3,2]=>10
[4,2,1,5,8,3,6,7]=>[2,1,5]=>5
[5,4,2,7,1,8,3,6]=>[1,2,2,3]=>9
[5,4,3,1,6,8,2,7]=>[1,2,1,4]=>8
[4,7,5,6,8,3,2,1]=>[2,4,1,1]=>15
[6,5,4,8,2,7,3,1]=>[1,1,3,2,1]=>15
[6,5,2,8,7,3,4,1]=>[1,2,1,3,1]=>15
[6,5,1,8,7,4,2,3]=>[1,2,1,2,2]=>14
[8,6,4,7,5,3,2,1]=>[1,1,3,1,1,1]=>21
[5,1,8,3,7,6,2,4]=>[2,2,2,2]=>12
[5,4,8,1,7,2,6,3]=>[1,3,3,1]=>12
[7,5,8,3,2,6,4,1]=>[1,3,2,1,1]=>18
[3,6,8,2,4,7,5,1]=>[5,2,1]=>12
[5,7,3,8,2,6,4,1]=>[3,3,1,1]=>16
[5,4,6,8,2,7,3,1]=>[1,4,2,1]=>13
[5,2,6,8,7,3,4,1]=>[2,2,3,1]=>13
[4,7,2,8,6,3,5,1]=>[3,1,3,1]=>14
[3,6,8,1,7,2,5,4]=>[4,3,1]=>11
[2,3,8,7,4,5,6,1]=>[3,4,1]=>10
[7,2,8,6,4,3,5,1]=>[2,1,2,2,1]=>17
[2,1,8,7,5,6,3,4]=>[2,1,3,2]=>11
[8,2,7,6,3,5,4,1]=>[2,1,3,1,1]=>18
[8,1,7,6,5,2,4,3]=>[2,1,2,2,1]=>17
[7,1,8,6,5,3,2,4]=>[2,1,2,1,2]=>16
[1,2,8,7,6,3,4,5]=>[2,1,1,4]=>9
[1,3,8,7,4,6,2,5]=>[1,2,3,2]=>10
[1,5,8,3,7,6,2,4]=>[1,3,2,2]=>11
[5,1,6,8,7,4,2,3]=>[2,2,2,2]=>12
[6,8,4,7,5,3,2,1]=>[2,3,1,1,1]=>20
[6,8,7,2,5,4,3,1]=>[2,3,1,1,1]=>20
[3,8,7,6,4,5,2,1]=>[2,1,3,1,1]=>18
[2,8,7,6,5,3,4,1]=>[2,1,2,2,1]=>17
[1,8,7,6,5,4,2,3]=>[1,1,1,2,1,2]=>17
[5,8,6,7,3,4,1,2]=>[2,4,2]=>8
[4,8,6,7,3,5,1,2]=>[2,4,2]=>8
[3,8,6,7,4,5,1,2]=>[2,4,2]=>8
[2,8,6,7,4,5,1,3]=>[2,4,2]=>8
[1,8,6,7,4,5,2,3]=>[1,1,4,2]=>9
[1,8,5,7,4,6,2,3]=>[1,1,4,2]=>9
[3,8,5,7,4,6,1,2]=>[2,4,2]=>8
[4,8,5,7,3,6,1,2]=>[2,4,2]=>8
[7,8,3,6,4,5,1,2]=>[3,3,2]=>9
[6,8,3,7,4,5,1,2]=>[3,3,2]=>9
[5,8,3,7,4,6,1,2]=>[3,3,2]=>9
[3,7,4,8,5,6,1,2]=>[2,4,2]=>8
[4,7,3,8,5,6,1,2]=>[3,3,2]=>9
[4,7,2,8,5,6,1,3]=>[3,3,2]=>9
[4,7,1,8,5,6,2,3]=>[3,3,2]=>9
[3,7,1,8,5,6,2,4]=>[3,3,2]=>9
[3,7,2,8,5,6,1,4]=>[3,3,2]=>9
[2,7,3,8,5,6,1,4]=>[3,3,2]=>9
[2,7,4,8,5,6,1,3]=>[2,4,2]=>8
[5,8,2,7,4,6,1,3]=>[3,3,2]=>9
[6,8,2,7,4,5,1,3]=>[3,3,2]=>9
[7,8,2,6,4,5,1,3]=>[3,3,2]=>9
[7,8,1,6,4,5,2,3]=>[3,3,2]=>9
[6,8,1,7,4,5,2,3]=>[3,3,2]=>9
[5,8,1,7,4,6,2,3]=>[3,3,2]=>9
[1,7,4,8,5,6,2,3]=>[1,1,4,2]=>9
[1,7,3,8,5,6,2,4]=>[1,2,3,2]=>10
[2,8,5,6,1,7,3,4]=>[2,3,3]=>7
[1,8,5,6,2,7,3,4]=>[1,1,3,3]=>8
[1,7,3,8,4,6,2,5]=>[1,2,3,2]=>10
[4,8,1,7,3,6,2,5]=>[3,3,2]=>9
[5,8,1,7,3,6,2,4]=>[3,3,2]=>9
[6,8,1,7,3,5,2,4]=>[3,3,2]=>9
[7,8,2,6,3,5,1,4]=>[3,3,2]=>9
[6,8,2,7,3,5,1,4]=>[3,3,2]=>9
[5,8,2,7,3,6,1,4]=>[3,3,2]=>9
[4,8,2,7,3,6,1,5]=>[3,3,2]=>9
[2,7,3,8,4,6,1,5]=>[3,3,2]=>9
[3,7,2,8,4,6,1,5]=>[3,3,2]=>9
[3,7,1,8,4,6,2,5]=>[3,3,2]=>9
[1,8,4,7,3,6,2,5]=>[1,1,4,2]=>9
[2,8,4,7,3,6,1,5]=>[2,4,2]=>8
[3,8,4,7,2,6,1,5]=>[2,4,2]=>8
[4,8,5,7,2,6,1,3]=>[2,4,2]=>8
[3,8,5,7,2,6,1,4]=>[2,4,2]=>8
[2,8,5,7,3,6,1,4]=>[2,4,2]=>8
[1,8,5,7,3,6,2,4]=>[1,1,4,2]=>9
[1,8,6,7,3,5,2,4]=>[1,1,4,2]=>9
[2,8,6,7,3,5,1,4]=>[2,4,2]=>8
[3,8,6,7,2,5,1,4]=>[2,4,2]=>8
[4,8,6,7,2,5,1,3]=>[2,4,2]=>8
[5,8,6,7,2,4,1,3]=>[2,4,2]=>8
[6,8,5,7,1,4,2,3]=>[2,4,2]=>8
[5,8,6,7,1,4,2,3]=>[2,4,2]=>8
[4,8,6,7,1,5,2,3]=>[2,4,2]=>8
[3,8,6,7,1,5,2,4]=>[2,4,2]=>8
[1,5,2,8,6,7,3,4]=>[1,2,1,4]=>8
[2,5,1,8,6,7,3,4]=>[3,1,4]=>7
[2,6,1,8,5,7,3,4]=>[3,2,3]=>8
[1,6,2,8,5,7,3,4]=>[1,2,2,3]=>9
[3,8,5,7,1,6,2,4]=>[2,4,2]=>8
[6,8,4,7,1,5,2,3]=>[2,4,2]=>8
[7,8,4,6,1,5,2,3]=>[2,4,2]=>8
[7,8,3,6,1,5,2,4]=>[3,3,2]=>9
[6,8,3,7,1,5,2,4]=>[3,3,2]=>9
[4,8,3,7,1,6,2,5]=>[3,3,2]=>9
[3,8,4,7,1,6,2,5]=>[2,4,2]=>8
[1,6,2,8,4,7,3,5]=>[1,2,2,3]=>9
[2,6,1,8,4,7,3,5]=>[3,2,3]=>8
[3,7,2,6,1,8,4,5]=>[3,2,3]=>8
[3,7,1,6,2,8,4,5]=>[3,2,3]=>8
[4,8,1,6,2,7,3,5]=>[3,2,3]=>8
[5,8,1,6,2,7,3,4]=>[3,2,3]=>8
[7,8,1,5,2,6,3,4]=>[3,3,2]=>9
[7,8,2,5,1,6,3,4]=>[3,3,2]=>9
[6,8,2,5,1,7,3,4]=>[3,2,3]=>8
[5,8,2,6,1,7,3,4]=>[3,2,3]=>8
[4,8,2,6,1,7,3,5]=>[3,2,3]=>8
[1,7,3,6,2,8,4,5]=>[1,2,2,3]=>9
[2,7,3,6,1,8,4,5]=>[3,2,3]=>8
[1,3,4,5,6,7,8,9,2]=>[1,8]=>1
[1,2,3,4,5,6,9,8,7]=>[6,2,1]=>14
[1,2,3,4,5,7,8,9,10,6]=>[5,5]=>5
[1,3,4,5,6,7,8,9,10,2]=>[1,9]=>1
[6,7,4,8,3,5,1,2]=>[2,4,2]=>8
[6,7,4,5,2,8,1,3]=>[2,3,3]=>7
[5,7,4,6,2,3,1,8]=>[2,4,2]=>8
[5,7,4,6,3,8,1,2]=>[2,3,3]=>7
[5,7,4,8,3,6,1,2]=>[2,4,2]=>8
[6,8,4,5,3,7,1,2]=>[2,3,3]=>7
[5,8,4,6,3,7,1,2]=>[2,3,3]=>7
[5,6,4,8,3,7,1,2]=>[2,3,3]=>7
[5,6,3,7,2,4,1,8]=>[3,3,2]=>9
[5,6,3,7,2,8,1,4]=>[3,2,3]=>8
[5,6,3,8,2,7,1,4]=>[3,2,3]=>8
[5,6,4,8,2,7,1,3]=>[2,3,3]=>7
[5,8,4,6,2,7,1,3]=>[2,3,3]=>7
[6,8,4,5,2,7,1,3]=>[2,3,3]=>7
[7,8,4,5,2,6,1,3]=>[2,4,2]=>8
[6,8,4,5,2,3,1,7]=>[2,4,2]=>8
[5,8,4,6,2,3,1,7]=>[2,4,2]=>8
[5,6,4,8,2,3,1,7]=>[2,4,2]=>8
[5,6,3,8,2,4,1,7]=>[3,3,2]=>9
[5,6,3,4,2,8,1,7]=>[4,1,3]=>9
[4,6,3,5,2,7,1,8]=>[3,2,3]=>8
[4,6,3,5,2,8,1,7]=>[3,2,3]=>8
[4,6,3,8,2,5,1,7]=>[3,3,2]=>9
[4,8,3,6,2,5,1,7]=>[3,3,2]=>9
[5,8,3,6,2,4,1,7]=>[3,3,2]=>9
[6,8,3,5,2,4,1,7]=>[3,3,2]=>9
[7,8,3,5,2,4,1,6]=>[3,3,2]=>9
[7,8,3,5,2,6,1,4]=>[3,3,2]=>9
[5,8,3,6,2,7,1,4]=>[3,2,3]=>8
[4,8,3,6,2,7,1,5]=>[3,2,3]=>8
[4,6,3,8,2,7,1,5]=>[3,2,3]=>8
[4,6,3,7,2,8,1,5]=>[3,2,3]=>8
[4,7,3,6,2,5,1,8]=>[3,3,2]=>9
[4,7,3,6,2,8,1,5]=>[3,2,3]=>8
[4,7,3,8,2,6,1,5]=>[3,3,2]=>9
[5,7,4,8,2,6,1,3]=>[2,4,2]=>8
[5,7,3,6,2,8,1,4]=>[3,2,3]=>8
[5,7,3,6,2,4,1,8]=>[3,3,2]=>9
[6,7,3,5,2,4,1,8]=>[3,3,2]=>9
[6,7,3,5,2,8,1,4]=>[3,2,3]=>8
[6,7,4,8,2,5,1,3]=>[2,4,2]=>8
[6,7,5,8,2,4,1,3]=>[2,4,2]=>8
[6,8,5,7,2,3,1,4]=>[2,4,2]=>8
[6,7,4,8,2,3,1,5]=>[2,4,2]=>8
[6,7,3,8,2,4,1,5]=>[3,3,2]=>9
[6,7,3,4,2,8,1,5]=>[4,1,3]=>9
[5,7,3,4,2,6,1,8]=>[4,2,2]=>10
[5,7,3,4,2,8,1,6]=>[4,1,3]=>9
[5,7,4,8,2,3,1,6]=>[2,4,2]=>8
[5,8,4,7,2,3,1,6]=>[2,4,2]=>8
[6,8,4,7,2,3,1,5]=>[2,4,2]=>8
[7,8,4,6,2,3,1,5]=>[2,4,2]=>8
[7,8,3,6,2,4,1,5]=>[3,3,2]=>9
[6,8,3,7,2,4,1,5]=>[3,3,2]=>9
[5,8,3,7,2,4,1,6]=>[3,3,2]=>9
[4,8,3,7,2,5,1,6]=>[3,3,2]=>9
[4,7,3,8,2,5,1,6]=>[3,3,2]=>9
[4,7,3,5,2,8,1,6]=>[3,2,3]=>8
[4,7,3,5,2,6,1,8]=>[3,3,2]=>9
[4,5,3,7,2,6,1,8]=>[3,3,2]=>9
[4,5,3,7,2,8,1,6]=>[3,2,3]=>8
[4,5,3,8,2,7,1,6]=>[3,2,3]=>8
[4,8,3,5,2,7,1,6]=>[3,2,3]=>8
[5,8,3,4,2,7,1,6]=>[4,1,3]=>9
[6,8,3,4,2,7,1,5]=>[4,1,3]=>9
[7,8,3,4,2,6,1,5]=>[4,2,2]=>10
[6,8,3,4,2,5,1,7]=>[4,2,2]=>10
[5,8,3,4,2,6,1,7]=>[4,2,2]=>10
[4,8,3,5,2,6,1,7]=>[3,3,2]=>9
[4,5,3,8,2,6,1,7]=>[3,3,2]=>9
[4,5,3,6,2,8,1,7]=>[3,2,3]=>8
[4,7,5,2,1,8,3,6]=>[2,2,1,3]=>11
[4,8,5,2,1,7,6,3]=>[2,2,1,2,1]=>18
[4,6,5,2,1,3,8,7]=>[2,2,2,2]=>12
[5,6,4,2,3,1,8,7]=>[2,3,1,2]=>13
[6,4,5,3,1,2,8,7]=>[1,3,2,2]=>11
[5,4,6,1,3,2,8,7]=>[1,4,1,2]=>12
[4,6,8,1,7,3,2,5]=>[4,2,2]=>10
[4,7,8,1,6,3,5,2]=>[4,3,1]=>11
[7,4,8,1,6,5,3,2]=>[1,3,2,1,1]=>18
[5,4,8,1,3,7,6,2]=>[1,4,2,1]=>13
[8,4,5,3,1,7,6,2]=>[1,3,1,2,1]=>17
[5,4,7,1,3,8,2,6]=>[1,4,3]=>6
[6,4,8,1,7,5,2,3]=>[1,3,2,2]=>11
[5,6,8,7,2,1,3,4]=>[3,2,3]=>8
[8,5,7,6,4,2,1,3]=>[1,2,2,1,2]=>15
[8,4,6,3,7,2,1,5]=>[1,3,2,2]=>11
[6,3,2,8,7,4,1,5]=>[1,2,1,2,2]=>14
[2,1,6,8,7,4,3,5]=>[2,2,2,2]=>12
[2,1,7,8,6,4,5,3]=>[2,2,3,1]=>13
[7,3,2,8,6,4,5,1]=>[1,2,1,3,1]=>15
[7,6,8,5,2,4,3,1]=>[1,2,3,1,1]=>17
[5,7,8,6,2,3,1,4]=>[3,3,2]=>9
[5,8,7,6,3,2,1,4]=>[2,1,2,1,2]=>16
[6,8,7,5,3,2,4,1]=>[2,1,2,2,1]=>17
[5,8,4,2,3,7,6,1]=>[2,3,2,1]=>14
[7,8,4,2,6,5,3,1]=>[2,2,2,1,1]=>19
[4,8,7,2,6,3,5,1]=>[2,2,3,1]=>13
[4,8,6,2,7,3,1,5]=>[2,2,2,2]=>12
[3,6,1,8,7,4,2,5]=>[3,1,2,2]=>13
[3,7,1,8,6,4,5,2]=>[3,1,3,1]=>14
[3,8,1,6,7,5,2,4]=>[3,3,2]=>9
[3,7,1,6,8,2,5,4]=>[3,4,1]=>10
[4,7,6,2,8,1,3,5]=>[2,2,4]=>6
[6,7,4,2,8,1,5,3]=>[2,2,3,1]=>13
[6,8,4,2,7,5,1,3]=>[2,2,2,2]=>12
[2,1,8,6,7,5,3,4]=>[2,1,3,2]=>11
[8,3,2,6,7,5,1,4]=>[1,2,3,2]=>10
[8,6,4,3,7,5,1,2]=>[1,1,2,2,2]=>13
[5,8,6,7,3,1,2,4]=>[2,3,3]=>7
[6,7,5,8,1,3,4,2]=>[2,5,1]=>9
[7,6,5,8,1,4,3,2]=>[1,1,4,1,1]=>16
[8,6,5,7,4,1,3,2]=>[1,1,3,2,1]=>15
[7,6,4,3,8,1,5,2]=>[1,1,2,3,1]=>14
[7,3,2,6,8,1,5,4]=>[1,2,4,1]=>11
[2,1,7,6,8,3,5,4]=>[2,1,4,1]=>12
[7,5,6,8,1,4,2,3]=>[1,5,2]=>7
[6,5,7,8,1,2,4,3]=>[1,6,1]=>8
[8,1,3,7,4,6,5,2]=>[3,3,1,1]=>16
[5,2,8,7,4,6,1,3]=>[2,1,3,2]=>11
[1,6,2,5,4,7,3,8]=>[1,2,2,3]=>9
[6,2,7,5,4,8,3,1]=>[2,1,2,2,1]=>17
[8,1,3,5,4,7,6,2]=>[3,2,2,1]=>15
[6,1,5,4,3,8,7,2]=>[2,2,1,2,1]=>18
[6,1,8,3,4,5,7,2]=>[2,5,1]=>9
[7,1,5,3,4,8,6,2]=>[2,3,2,1]=>14
[7,1,4,3,5,6,8,2]=>[2,4,2]=>8
[8,1,3,4,5,6,7,2]=>[7,1]=>7
[1,7,2,4,5,6,3,8]=>[1,5,2]=>7
[6,3,2,7,5,1,8,4]=>[1,2,2,1,2]=>15
[8,4,7,2,5,6,1,3]=>[1,5,2]=>7
[6,5,8,2,4,7,3,1]=>[1,4,2,1]=>13
[8,5,2,1,4,3,7,6]=>[1,2,2,2,1]=>16
[6,5,2,8,4,1,3,7]=>[1,2,2,3]=>9
[5,6,2,1,4,8,3,7]=>[3,2,3]=>8
[3,6,1,8,5,2,4,7]=>[3,2,3]=>8
[1,2,6,3,5,4,7,8]=>[2,3,3]=>7
[3,4,1,2,8,6,5,7]=>[4,2,2]=>10
[4,3,1,2,6,8,5,7]=>[1,3,4]=>5
[5,8,1,6,3,2,4,7]=>[3,2,3]=>8
[6,3,8,5,2,1,4,7]=>[1,2,2,3]=>9
[8,3,1,5,2,4,7,6]=>[1,2,4,1]=>11
[3,8,2,6,1,5,7,4]=>[3,4,1]=>10
[3,8,6,7,2,1,5,4]=>[2,3,2,1]=>14
[8,5,6,4,2,1,7,3]=>[1,3,1,2,1]=>17
[7,2,5,8,3,1,6,4]=>[2,3,2,1]=>14
[1,7,5,6,3,2,4,8]=>[1,1,3,3]=>8
[6,1,2,3,8,5,7,4]=>[4,3,1]=>11
[7,1,2,3,6,5,8,4]=>[4,2,2]=>10
[7,2,1,3,8,6,4,5]=>[2,2,2,2]=>12
[1,5,7,3,2,4,6,8]=>[1,3,4]=>5
[5,2,7,3,1,8,4,6]=>[2,2,1,3]=>11
[5,8,2,4,1,3,7,6]=>[4,3,1]=>11
[8,7,2,6,3,4,1,5]=>[1,2,3,2]=>10
[4,8,1,6,3,2,7,5]=>[3,2,2,1]=>15
[3,1,8,6,4,2,7,5]=>[2,1,2,2,1]=>17
[8,1,6,7,4,3,2,5]=>[2,3,1,2]=>13
[3,5,8,7,2,4,1,6]=>[3,3,2]=>9
[4,2,1,3,7,8,5,6]=>[2,2,4]=>6
[2,4,1,3,8,7,5,6]=>[4,1,3]=>9
[2,5,8,3,1,7,4,6]=>[4,1,3]=>9
[8,6,1,3,7,2,4,5]=>[1,3,4]=>5
[2,8,1,3,6,4,7,5]=>[4,3,1]=>11
[6,8,2,3,4,1,5,7]=>[5,3]=>5
[5,1,8,3,2,4,6,7]=>[2,2,4]=>6
[9,10,8,7,6,5,4,3,2,1]=>[2,1,1,2,1,1,1,1]=>39
[8,6,7,9,5,4,3,2,1]=>[1,4,1,1,1,1]=>27
[9,8,7,10,6,5,4,3,2,1]=>[1,1,2,2,1,1,1,1]=>37
[1,4,2,7,8,6,3,5]=>[1,2,3,2]=>10
[1,6,2,4,8,5,3,7]=>[1,3,2,2]=>11
[1,6,2,4,7,5,3,8]=>[1,3,2,2]=>11
[1,7,3,8,5,2,4,6]=>[1,2,2,3]=>9
[1,7,3,2,8,6,4,5]=>[1,2,1,2,2]=>14
[4,2,5,7,8,6,1,3]=>[2,4,2]=>8
[7,2,3,1,8,5,6,4]=>[3,1,3,1]=>14
[8,2,5,1,7,3,4,6]=>[2,2,4]=>6
[6,2,1,8,3,4,7,5]=>[2,1,4,1]=>12
[6,2,8,3,5,1,7,4]=>[2,3,2,1]=>14
[6,2,4,8,5,7,1,3]=>[2,3,3]=>7
[1,3,6,4,8,5,7,2]=>[1,3,3,1]=>12
[1,3,6,4,7,5,8,2]=>[1,3,2,2]=>11
[6,2,4,7,5,8,1,3]=>[2,3,3]=>7
[6,2,1,3,7,8,4,5]=>[2,2,4]=>6
[7,8,2,1,4,3,5,6]=>[3,2,3]=>8
[7,6,4,2,3,1,8,5]=>[1,1,3,1,2]=>14
[5,7,2,3,1,6,8,4]=>[4,2,2]=>10
[7,5,4,2,6,8,1,3]=>[1,1,2,4]=>7
[1,7,5,3,4,6,8,2]=>[1,1,4,2]=>9
[8,2,5,4,6,7,1,3]=>[2,2,4]=>6
[5,2,6,3,1,8,7,4]=>[2,2,1,2,1]=>18
[8,2,6,4,3,1,7,5]=>[2,2,1,2,1]=>18
[8,2,7,4,1,3,5,6]=>[2,2,4]=>6
[1,2,8,4,3,5,6,7]=>[2,2,4]=>6
[1,7,4,2,3,5,6,8]=>[1,1,6]=>3
[6,8,4,1,3,2,5,7]=>[2,3,3]=>7
[1,8,7,4,3,2,5,6]=>[1,1,2,1,3]=>12
[1,6,3,8,2,4,7,5]=>[1,2,4,1]=>11
[5,3,8,1,2,7,4,6]=>[1,4,3]=>6
[5,1,8,3,2,6,4,7]=>[2,2,2,2]=>12
[5,7,3,1,2,6,4,8]=>[3,3,2]=>9
[1,7,5,4,2,6,3,8]=>[1,1,2,2,2]=>13
[1,5,8,2,4,6,3,7]=>[1,5,2]=>7
[1,5,8,4,2,7,3,6]=>[1,3,1,3]=>10
[1,4,6,2,8,3,7,5]=>[1,3,3,1]=>12
[5,3,1,6,7,2,4,8]=>[1,2,5]=>4
[5,3,6,1,2,8,4,7]=>[1,4,3]=>6
[1,6,3,2,7,8,4,5]=>[1,2,1,4]=>8
[1,7,4,5,3,8,6,2]=>[1,1,3,2,1]=>15
[6,3,4,1,2,5,8,7]=>[1,5,2]=>7
[6,3,1,4,2,7,5,8]=>[1,3,1,3]=>10
[1,8,3,2,4,5,6,7]=>[1,2,5]=>4
[8,6,3,2,4,1,7,5]=>[1,2,2,2,1]=>16
[8,5,3,2,6,7,1,4]=>[1,2,1,4]=>8
[4,5,2,6,8,1,7,3]=>[3,4,1]=>10
[4,2,5,6,7,8,1,3]=>[2,6]=>2
[5,2,3,6,7,1,8,4]=>[3,3,2]=>9
[6,2,3,4,1,7,8,5]=>[4,1,3]=>9
[7,2,3,1,4,5,8,6]=>[3,3,2]=>9
[8,6,1,4,3,2,5,7]=>[1,3,1,3]=>10
[8,3,1,6,5,2,4,7]=>[1,2,2,3]=>9
[3,7,5,1,8,2,4,6]=>[2,2,4]=>6
[4,1,5,2,8,7,3,6]=>[2,2,1,3]=>11
[8,1,2,4,6,5,3,7]=>[4,2,2]=>10
[8,1,2,5,4,6,3,7]=>[3,3,2]=>9
[8,2,6,5,1,3,4,7]=>[2,1,5]=>5
[8,3,1,6,2,5,4,7]=>[1,2,3,2]=>10
[8,1,2,6,4,5,3,7]=>[3,3,2]=>9
[8,1,2,5,6,4,3,7]=>[3,3,2]=>9
[8,1,2,6,5,4,3,7]=>[3,2,1,2]=>14
[1,7,5,4,2,8,3,6]=>[1,1,2,1,3]=>12
[5,1,4,8,2,7,3,6]=>[2,3,3]=>7
[1,4,6,8,2,7,3,5]=>[1,4,3]=>6
[1,4,7,6,2,8,3,5]=>[1,2,2,3]=>9
[5,1,4,7,2,8,3,6]=>[2,3,3]=>7
[1,7,4,5,2,8,3,6]=>[1,1,3,3]=>8
[3,7,5,1,2,8,4,6]=>[2,3,3]=>7
[5,7,2,8,1,3,4,6]=>[3,5]=>3
[5,2,8,7,1,3,4,6]=>[2,1,5]=>5
[4,1,5,8,2,7,3,6]=>[2,3,3]=>7
[1,4,6,2,8,7,3,5]=>[1,3,1,3]=>10
[1,4,2,8,6,7,3,5]=>[1,2,1,4]=>8
[3,1,2,6,4,8,7,5]=>[3,2,2,1]=>15
[2,1,7,6,3,4,8,5]=>[2,1,3,2]=>11
[3,1,2,7,4,6,8,5]=>[3,3,2]=>9
[1,4,7,2,6,8,3,5]=>[1,3,4]=>5
[1,2,3,6,8,5,7,4]=>[3,4,1]=>10
[5,1,4,2,7,8,3,6]=>[2,2,4]=>6
[1,4,2,7,6,8,3,5]=>[1,2,1,4]=>8
[1,4,2,6,8,7,3,5]=>[1,2,2,3]=>9
[3,1,2,8,4,6,7,5]=>[3,4,1]=>10
[3,1,2,7,6,4,8,5]=>[3,1,2,2]=>13
[5,3,7,1,8,2,4,6]=>[1,3,4]=>5
[1,7,4,3,2,5,8,6]=>[1,1,2,2,2]=>13
[4,8,7,2,1,3,5,6]=>[2,2,4]=>6
[1,8,7,3,4,2,5,6]=>[1,1,3,3]=>8
[3,1,7,8,2,6,4,5]=>[2,4,2]=>8
[1,4,2,7,8,3,6,5]=>[1,2,4,1]=>11
[5,2,8,1,3,4,7,6]=>[2,5,1]=>9
[2,1,8,6,3,4,7,5]=>[2,1,4,1]=>12
[1,4,2,6,8,3,7,5]=>[1,2,4,1]=>11
[1,2,3,7,8,5,6,4]=>[3,4,1]=>10
[1,2,3,7,5,8,6,4]=>[3,2,2,1]=>15
[1,4,2,7,3,8,6,5]=>[1,2,2,2,1]=>16
[3,1,7,2,8,6,4,5]=>[2,2,2,2]=>12
[2,1,7,8,3,4,6,5]=>[2,5,1]=>9
[1,2,3,8,7,5,6,4]=>[3,1,3,1]=>14
[9,1,2,3,4,10,5,6,7,8]=>[5,5]=>5
[10,9,1,2,3,4,5,6,7,8]=>[1,9]=>1
[11,10,1,2,3,4,5,6,7,8,9]=>[1,10]=>1
[4,7,8,5,6,2,1,3]=>[3,3,2]=>9
[5,7,8,4,2,6,1,3]=>[4,2,2]=>10
[6,7,8,4,2,5,1,3]=>[4,2,2]=>10
[8,6,3,7,2,1,5,4]=>[1,2,2,2,1]=>16
[7,6,3,8,2,1,5,4]=>[1,2,2,2,1]=>16
[6,7,8,3,2,1,5,4]=>[4,1,2,1]=>16
[5,7,8,3,2,1,6,4]=>[4,1,2,1]=>16
[2,7,8,4,3,5,6,1]=>[4,3,1]=>11
[3,7,8,4,2,5,1,6]=>[4,2,2]=>10
[4,7,8,3,2,1,5,6]=>[4,1,3]=>9
[5,7,8,3,2,1,4,6]=>[4,1,3]=>9
[7,6,3,8,2,1,4,5]=>[1,2,2,3]=>9
[8,6,3,7,2,1,4,5]=>[1,2,2,3]=>9
[5,6,3,8,2,1,4,7]=>[3,2,3]=>8
[3,6,4,8,2,5,1,7]=>[2,4,2]=>8
[2,6,4,8,3,5,7,1]=>[2,5,1]=>9
[2,6,4,7,3,5,8,1]=>[2,4,2]=>8
[3,6,4,7,2,5,1,8]=>[2,4,2]=>8
[4,6,3,7,2,1,5,8]=>[3,2,3]=>8
[5,6,3,7,2,1,4,8]=>[3,2,3]=>8
[8,4,3,2,1,6,5,7]=>[1,2,1,2,2]=>14
[6,4,3,2,1,7,5,8]=>[1,2,1,1,3]=>13
[4,5,3,2,7,1,6,8]=>[3,1,4]=>7
[3,5,4,2,8,6,1,7]=>[2,2,2,2]=>12
[6,4,3,2,1,8,5,7]=>[1,2,1,1,3]=>13
[7,4,3,2,1,8,5,6]=>[1,2,1,1,3]=>13
[8,4,3,2,1,7,5,6]=>[1,2,1,1,3]=>13
[8,4,3,2,1,7,6,5]=>[1,2,1,1,2,1]=>20
[7,4,3,2,1,8,6,5]=>[1,2,1,1,2,1]=>20
[6,4,3,2,1,8,7,5]=>[1,2,1,1,2,1]=>20
[5,6,3,8,2,1,7,4]=>[3,2,2,1]=>15
[7,5,3,2,8,1,6,4]=>[1,2,1,3,1]=>15
[8,5,4,2,7,6,1,3]=>[1,1,2,2,2]=>13
[7,5,4,2,8,6,1,3]=>[1,1,2,2,2]=>13
[6,5,4,2,8,7,1,3]=>[1,1,2,1,3]=>12
[4,6,5,8,7,2,1,3]=>[2,2,2,2]=>12
[2,6,5,7,8,3,4,1]=>[2,5,1]=>9
[6,5,4,2,7,8,1,3]=>[1,1,2,4]=>7
[8,5,4,2,6,7,1,3]=>[1,1,2,4]=>7
[8,5,3,2,6,1,7,4]=>[1,2,1,3,1]=>15
[7,5,3,2,6,1,8,4]=>[1,2,1,2,2]=>14
[5,6,3,7,2,1,8,4]=>[3,2,1,2]=>14
[4,6,3,7,2,1,8,5]=>[3,2,1,2]=>14
[3,6,4,7,2,8,1,5]=>[2,3,3]=>7
[2,6,4,7,3,8,5,1]=>[2,3,2,1]=>14
[3,5,4,2,7,8,1,6]=>[2,2,4]=>6
[4,5,3,2,7,1,8,6]=>[3,1,2,2]=>13
[7,4,3,2,1,6,8,5]=>[1,2,1,2,2]=>14
[8,4,3,2,1,6,7,5]=>[1,2,1,3,1]=>15
[8,4,3,2,1,5,7,6]=>[1,2,1,3,1]=>15
[7,4,3,2,1,5,8,6]=>[1,2,1,2,2]=>14
[6,4,3,2,1,5,8,7]=>[1,2,1,2,2]=>14
[3,5,4,2,6,8,1,7]=>[2,2,4]=>6
[5,6,3,4,1,2,8,7]=>[4,2,2]=>10
[8,5,3,7,2,6,4,1]=>[1,2,3,1,1]=>17
[8,5,7,4,2,6,3,1]=>[1,3,2,1,1]=>18
[7,5,8,4,2,6,1,3]=>[1,3,2,2]=>11
[2,1,7,8,5,6,3,4]=>[2,4,2]=>8
[6,8,3,7,5,1,4,2]=>[3,2,2,1]=>15
[5,7,3,8,1,6,2,4]=>[3,3,2]=>9
[3,2,6,4,8,5,1,7]=>[2,2,2,2]=>12
[3,2,5,8,4,6,1,7]=>[2,4,2]=>8
[3,5,2,4,1,7,6,8]=>[4,1,3]=>9
[4,2,1,5,7,3,6,8]=>[2,1,5]=>5
[4,5,2,3,7,1,6,8]=>[4,4]=>4
[4,2,5,3,8,1,6,7]=>[2,2,4]=>6
[4,2,5,8,3,1,6,7]=>[2,3,3]=>7
[3,1,5,4,2,8,6,7]=>[2,2,1,3]=>11
[4,1,5,3,8,2,6,7]=>[2,2,4]=>6
[4,1,5,8,3,2,6,7]=>[2,3,3]=>7
[4,3,8,5,2,1,6,7]=>[1,2,2,3]=>9
[4,7,3,5,2,1,6,8]=>[3,2,3]=>8
[4,3,2,7,5,1,6,8]=>[1,2,2,3]=>9
[4,3,6,2,5,1,7,8]=>[1,4,3]=>6
[4,6,3,2,5,1,7,8]=>[3,2,3]=>8
[4,6,7,1,3,2,5,8]=>[5,3]=>5
[4,5,1,7,3,2,6,8]=>[3,2,3]=>8
[4,5,1,3,7,2,6,8]=>[4,4]=>4
[3,5,1,4,2,7,6,8]=>[4,1,3]=>9
[2,5,1,4,3,7,8,6]=>[4,1,3]=>9
[5,2,1,4,3,7,8,6]=>[2,2,1,3]=>11
[5,3,1,4,2,7,6,8]=>[1,3,1,3]=>10
[4,3,1,5,7,2,6,8]=>[1,2,5]=>4
[4,3,1,7,5,2,6,8]=>[1,2,2,3]=>9
[4,3,6,1,5,2,7,8]=>[1,4,3]=>6
[4,6,3,1,5,2,7,8]=>[3,2,3]=>8
[5,3,6,4,1,2,7,8]=>[1,3,4]=>5
[4,3,6,1,7,2,5,8]=>[1,3,4]=>5
[6,3,4,1,2,7,5,8]=>[1,4,3]=>6
[6,2,4,1,3,7,8,5]=>[2,3,3]=>7
[3,6,4,1,2,7,5,8]=>[2,3,3]=>7
[4,6,3,1,7,2,5,8]=>[3,1,4]=>7
[5,3,6,2,1,4,7,8]=>[1,3,4]=>5
[5,6,2,7,1,3,4,8]=>[3,5]=>3
[4,5,2,7,3,1,6,8]=>[3,2,3]=>8
[4,6,7,2,3,1,5,8]=>[5,3]=>5
[4,6,2,1,7,3,5,8]=>[3,1,4]=>7
[3,2,6,1,4,7,5,8]=>[2,3,3]=>7
[3,6,2,1,4,7,5,8]=>[3,2,3]=>8
[3,6,7,2,4,5,1,8]=>[6,2]=>6
[3,5,2,7,4,6,1,8]=>[3,3,2]=>9
[3,7,2,4,8,5,1,6]=>[4,2,2]=>10
[7,2,1,4,6,3,8,5]=>[2,2,2,2]=>12
[7,3,1,4,6,8,2,5]=>[1,3,4]=>5
[3,2,6,1,5,7,4,8]=>[2,3,3]=>7
[3,6,2,1,5,7,4,8]=>[3,2,3]=>8
[6,3,2,1,5,7,4,8]=>[1,2,2,3]=>9
[6,4,2,1,5,3,7,8]=>[1,2,2,3]=>9
[4,2,6,1,5,3,7,8]=>[2,3,3]=>7
[4,2,1,7,5,3,6,8]=>[2,1,2,3]=>10
[7,4,1,5,6,2,3,8]=>[1,2,5]=>4
[7,3,1,5,2,6,4,8]=>[1,2,3,2]=>10
[7,2,1,5,3,6,8,4]=>[2,1,3,2]=>11
[6,2,5,1,3,7,8,4]=>[2,3,3]=>7
[6,3,5,1,2,7,4,8]=>[1,4,3]=>6
[6,4,5,1,7,2,3,8]=>[1,3,4]=>5
[5,2,6,4,1,3,7,8]=>[2,2,4]=>6
[4,6,5,1,7,2,3,8]=>[2,2,4]=>6
[3,6,5,1,2,7,4,8]=>[2,3,3]=>7
[6,5,2,1,4,7,8,3]=>[1,2,2,3]=>9
[6,5,3,1,4,7,2,8]=>[1,2,2,3]=>9
[2,3,1,8,5,4,7,6]=>[3,2,2,1]=>15
[2,4,1,5,8,3,7,6]=>[3,4,1]=>10
[2,4,1,5,3,8,7,6]=>[3,2,2,1]=>15
[3,4,5,1,2,8,7,6]=>[5,2,1]=>12
[3,4,5,1,8,2,7,6]=>[4,3,1]=>11
[1,8,4,5,3,2,7,6]=>[1,1,3,2,1]=>15
[2,4,8,5,3,1,7,6]=>[3,2,2,1]=>15
[3,4,5,8,2,1,7,6]=>[5,2,1]=>12
[3,4,5,2,8,1,7,6]=>[4,3,1]=>11
[3,4,6,2,1,7,8,5]=>[4,1,3]=>9
[3,4,6,2,1,7,5,8]=>[4,1,3]=>9
[3,5,6,2,7,1,4,8]=>[4,4]=>4
[3,5,6,2,7,1,8,4]=>[4,2,2]=>10
[3,5,6,2,7,8,1,4]=>[4,4]=>4
[3,4,6,2,8,7,1,5]=>[4,1,3]=>9
[3,4,6,8,2,7,1,5]=>[5,3]=>5
[2,4,8,6,3,7,1,5]=>[3,2,3]=>8
[1,8,4,6,3,7,2,5]=>[1,1,3,3]=>8
[1,8,4,6,3,7,5,2]=>[1,1,3,2,1]=>15
[3,4,6,8,2,7,5,1]=>[5,2,1]=>12
[3,4,6,2,8,7,5,1]=>[4,1,2,1]=>16
[3,5,6,2,7,8,4,1]=>[4,3,1]=>11
[3,5,6,2,7,4,1,8]=>[4,2,2]=>10
[4,5,6,7,2,8,3,1]=>[5,2,1]=>12
[3,5,6,8,7,2,4,1]=>[4,3,1]=>11
[2,5,8,6,7,3,4,1]=>[3,4,1]=>10
[1,8,5,6,7,3,4,2]=>[1,1,5,1]=>10
[1,8,5,6,7,3,2,4]=>[1,1,4,2]=>9
[2,5,8,6,7,3,1,4]=>[3,3,2]=>9
[3,5,6,8,7,2,1,4]=>[4,2,2]=>10
[4,5,6,7,2,1,8,3]=>[5,1,2]=>11
[3,4,6,1,8,7,2,5]=>[4,1,3]=>9
[2,4,1,6,8,7,3,5]=>[3,2,3]=>8
[2,3,1,8,6,7,4,5]=>[3,1,4]=>7
[1,8,3,2,6,7,5,4]=>[1,2,1,3,1]=>15
[2,5,1,6,7,8,4,3]=>[3,4,1]=>10
[2,5,1,6,7,4,8,3]=>[3,3,2]=>9
[2,5,1,6,7,4,3,8]=>[3,3,2]=>9
[3,5,6,1,7,4,2,8]=>[4,2,2]=>10
[3,5,6,1,7,4,8,2]=>[4,2,2]=>10
[3,4,6,1,8,7,5,2]=>[4,1,2,1]=>16
[3,4,6,8,1,7,5,2]=>[5,2,1]=>12
[2,4,8,6,1,7,5,3]=>[3,2,2,1]=>15
[1,8,4,6,2,7,5,3]=>[1,1,3,2,1]=>15
[1,8,5,6,7,2,4,3]=>[1,1,5,1]=>10
[2,5,8,6,7,1,4,3]=>[3,4,1]=>10
[3,5,6,8,7,1,4,2]=>[4,3,1]=>11
[4,5,6,7,8,1,3,2]=>[7,1]=>7
[4,5,6,7,1,3,8,2]=>[6,2]=>6
[4,5,6,7,1,3,2,8]=>[6,2]=>6
[4,5,6,7,3,1,8,2]=>[5,1,2]=>11
[3,5,6,8,7,4,1,2]=>[4,2,2]=>10
[2,5,8,6,7,4,1,3]=>[3,3,2]=>9
[1,8,5,6,7,4,2,3]=>[1,1,4,2]=>9
[1,8,5,6,7,4,3,2]=>[1,1,4,1,1]=>16
[2,5,8,6,7,4,3,1]=>[3,3,1,1]=>16
[8,2,5,3,7,1,6,4]=>[2,2,3,1]=>13
[8,2,4,3,7,1,6,5]=>[2,2,3,1]=>13
[5,8,2,4,3,7,1,6]=>[4,1,3]=>9
[4,2,5,6,1,8,3,7]=>[2,3,3]=>7
[4,2,5,6,1,7,3,8]=>[2,3,3]=>7
[6,1,5,7,3,2,4,8]=>[2,3,3]=>7
[6,1,5,8,3,2,4,7]=>[2,3,3]=>7
[3,8,2,4,7,1,5,6]=>[4,4]=>4
[3,6,8,2,4,7,1,5]=>[5,3]=>5
[4,3,5,6,7,1,8,2]=>[1,5,2]=>7
[3,7,1,5,6,8,2,4]=>[3,5]=>3
[3,7,1,5,8,2,4,6]=>[3,5]=>3
[8,3,2,4,6,1,5,7]=>[1,3,4]=>5
[7,3,2,4,6,1,5,8]=>[1,3,4]=>5
[3,2,5,1,7,4,6,8]=>[2,2,4]=>6
[3,2,5,1,8,4,6,7]=>[2,2,4]=>6
[3,2,5,1,7,8,4,6]=>[2,2,4]=>6
[7,8,3,2,4,6,1,5]=>[3,3,2]=>9
[6,1,5,7,8,3,2,4]=>[2,4,2]=>8
[4,2,5,6,1,7,8,3]=>[2,3,3]=>7
[5,7,6,1,8,3,4,2]=>[2,2,3,1]=>13
[5,8,6,1,7,3,4,2]=>[2,2,3,1]=>13
[6,1,5,8,7,3,2,4]=>[2,2,2,2]=>12
[8,7,3,2,4,6,1,5]=>[1,2,3,2]=>10
[3,2,5,1,8,7,4,6]=>[2,2,1,3]=>11
[3,2,5,1,6,4,7,8]=>[2,2,4]=>6
[3,2,4,1,8,7,5,6]=>[2,2,1,3]=>11
[3,2,5,1,6,8,7,4]=>[2,2,3,1]=>13
[3,8,6,5,1,7,4,2]=>[2,1,2,2,1]=>17
[3,7,6,5,1,8,4,2]=>[2,1,2,2,1]=>17
[6,5,1,7,8,4,2,3]=>[1,2,3,2]=>10
[3,2,5,1,6,7,8,4]=>[2,2,4]=>6
[3,2,4,1,8,5,6,7]=>[2,2,4]=>6
[3,2,4,1,7,5,6,8]=>[2,2,4]=>6
[3,2,4,1,6,8,5,7]=>[2,2,4]=>6
[3,2,4,1,8,5,7,6]=>[2,2,3,1]=>13
[8,3,2,4,7,6,1,5]=>[1,3,2,2]=>11
[3,2,5,1,8,4,7,6]=>[2,2,3,1]=>13
[3,2,5,1,6,7,4,8]=>[2,2,4]=>6
[6,5,1,7,4,2,3,8]=>[1,2,2,3]=>9
[6,5,1,8,4,2,3,7]=>[1,2,2,3]=>9
[8,4,2,3,7,5,1,6]=>[1,3,2,2]=>11
[4,2,6,1,8,3,7,5]=>[2,2,3,1]=>13
[5,2,6,1,8,3,7,4]=>[2,2,3,1]=>13
[8,4,6,1,7,3,5,2]=>[1,3,3,1]=>12
[5,2,6,1,8,4,7,3]=>[2,2,3,1]=>13
[7,4,2,3,8,5,1,6]=>[1,3,2,2]=>11
[8,5,1,6,4,2,3,7]=>[1,2,2,3]=>9
[7,5,1,6,4,2,3,8]=>[1,2,2,3]=>9
[3,2,5,1,7,6,4,8]=>[2,2,2,2]=>12
[3,2,5,1,8,6,4,7]=>[2,2,2,2]=>12
[7,3,2,4,8,6,1,5]=>[1,3,2,2]=>11
[8,6,1,5,7,3,2,4]=>[1,2,3,2]=>10
[4,2,6,1,8,5,7,3]=>[2,2,3,1]=>13
[8,5,6,1,7,3,4,2]=>[1,3,3,1]=>12
[3,6,8,5,1,7,4,2]=>[3,2,2,1]=>15
[8,5,1,6,7,4,2,3]=>[1,2,3,2]=>10
[3,2,5,1,8,6,7,4]=>[2,2,3,1]=>13
[3,2,4,1,8,6,5,7]=>[2,2,2,2]=>12
[3,2,4,1,5,8,6,7]=>[2,3,3]=>7
[3,2,5,1,7,8,6,4]=>[2,2,3,1]=>13
[7,8,5,1,6,4,2,3]=>[2,2,2,2]=>12
[3,8,5,1,7,6,4,2]=>[2,2,2,1,1]=>19
[3,7,5,1,8,6,4,2]=>[2,2,2,1,1]=>19
[8,7,5,1,6,4,2,3]=>[1,1,2,2,2]=>13
[3,2,5,1,8,7,6,4]=>[2,2,1,2,1]=>18
[6,5,7,3,1,8,4,2]=>[1,3,1,2,1]=>17
[4,6,3,7,1,8,5,2]=>[3,2,2,1]=>15
[4,6,3,7,5,1,8,2]=>[3,2,1,2]=>14
[4,2,6,1,7,5,3,8]=>[2,2,2,2]=>12
[2,5,7,4,1,6,3,8]=>[4,2,2]=>10
[2,5,7,4,1,6,8,3]=>[4,2,2]=>10
[5,4,7,3,6,1,8,2]=>[1,3,2,2]=>11
[5,4,7,8,3,1,6,2]=>[1,4,2,1]=>13
[4,3,7,5,1,8,6,2]=>[1,2,2,2,1]=>16
[6,4,3,8,5,1,7,2]=>[1,2,2,2,1]=>16
[5,8,4,3,6,1,7,2]=>[2,2,3,1]=>13
[5,4,8,3,6,1,7,2]=>[1,3,3,1]=>12
[5,4,3,6,7,1,8,2]=>[1,2,3,2]=>10
[2,5,4,6,1,7,3,8]=>[2,3,3]=>7
[3,2,5,8,1,6,7,4]=>[2,5,1]=>9
[2,5,4,6,8,1,7,3]=>[2,5,1]=>9
[5,2,8,4,1,6,7,3]=>[2,2,3,1]=>13
[4,6,2,1,8,5,7,3]=>[3,1,3,1]=>14
[2,4,1,7,5,8,6,3]=>[3,2,2,1]=>15
[2,4,1,7,5,3,8,6]=>[3,2,1,2]=>14
[2,6,4,1,8,5,3,7]=>[2,2,2,2]=>12
[5,4,8,2,1,6,3,7]=>[1,3,2,2]=>11
[2,5,8,4,1,6,3,7]=>[4,2,2]=>10
[3,2,5,6,1,8,4,7]=>[2,3,3]=>7
[4,8,3,2,6,1,5,7]=>[3,1,4]=>7
[3,5,2,8,1,6,4,7]=>[3,3,2]=>9
[3,2,1,6,8,5,4,7]=>[2,1,3,2]=>11
[3,2,7,1,5,4,8,6]=>[2,3,1,2]=>13
[3,2,7,1,5,8,6,4]=>[2,3,2,1]=>14
[3,8,2,5,1,6,7,4]=>[3,4,1]=>10
[4,8,3,2,6,7,1,5]=>[3,1,4]=>7
[4,3,8,2,6,7,1,5]=>[1,3,4]=>5
[4,3,2,6,7,8,1,5]=>[1,2,5]=>4
[4,3,2,6,7,1,5,8]=>[1,2,5]=>4
[4,3,7,2,6,8,1,5]=>[1,3,4]=>5
[4,3,7,8,2,6,1,5]=>[1,5,2]=>7
[2,5,7,4,8,1,6,3]=>[4,3,1]=>11
[3,2,5,7,8,1,6,4]=>[2,5,1]=>9
[3,2,5,7,1,6,8,4]=>[2,4,2]=>8
[3,2,5,7,1,6,4,8]=>[2,4,2]=>8
[6,3,2,7,1,5,4,8]=>[1,2,3,2]=>10
[6,3,2,7,1,5,8,4]=>[1,2,3,2]=>10
[6,3,2,7,8,1,5,4]=>[1,2,4,1]=>11
[4,2,6,1,7,8,5,3]=>[2,2,3,1]=>13
[6,5,2,1,7,8,4,3]=>[1,2,1,3,1]=>15
[2,1,7,5,3,8,6,4]=>[2,1,2,2,1]=>17
[6,2,1,8,5,3,7,4]=>[2,1,2,2,1]=>17
[6,3,2,7,1,4,8,5]=>[1,2,3,2]=>10
[6,3,2,1,4,7,8,5]=>[1,2,2,3]=>9
[6,3,2,1,4,7,5,8]=>[1,2,2,3]=>9
[3,5,2,1,7,4,6,8]=>[3,1,4]=>7
[3,5,2,1,7,8,4,6]=>[3,1,4]=>7
[5,8,4,2,1,7,3,6]=>[2,2,1,3]=>11
[4,6,2,1,8,3,7,5]=>[3,1,3,1]=>14
[2,4,1,7,3,8,6,5]=>[3,2,2,1]=>15
[3,2,7,1,4,8,6,5]=>[2,3,2,1]=>14
[3,5,8,2,1,7,4,6]=>[4,1,3]=>9
[4,8,3,7,2,1,5,6]=>[3,2,3]=>8
[4,3,7,2,8,1,5,6]=>[1,3,4]=>5
[4,3,7,2,1,5,6,8]=>[1,3,4]=>5
[4,8,3,2,7,1,5,6]=>[3,1,4]=>7
[3,5,2,8,1,7,4,6]=>[3,2,3]=>8
[6,3,2,8,1,4,7,5]=>[1,2,4,1]=>11
[3,2,1,4,7,5,8,6]=>[2,2,2,2]=>12
[5,3,2,1,8,4,6,7]=>[1,2,1,4]=>8
[4,8,3,2,1,5,6,7]=>[3,1,4]=>7
[4,3,8,2,1,5,6,7]=>[1,3,4]=>5
[6,2,3,1,5,4,8,7]=>[3,2,1,2]=>14
[8,4,5,2,3,1,7,6]=>[1,4,2,1]=>13
[8,6,7,2,5,3,4,1]=>[1,4,2,1]=>13
[8,2,5,3,4,1,7,6]=>[2,3,2,1]=>14
[6,2,5,3,4,1,8,7]=>[2,3,1,2]=>13
[6,1,5,2,4,3,8,7]=>[2,3,1,2]=>13
[6,4,5,1,3,2,8,7]=>[1,4,1,2]=>12
[6,1,5,3,4,2,8,7]=>[2,3,1,2]=>13
[6,3,5,1,4,2,8,7]=>[1,4,1,2]=>12
[8,3,5,2,4,1,7,6]=>[1,4,2,1]=>13
[8,3,7,5,6,2,4,1]=>[1,2,4,1]=>11
[8,3,7,2,4,1,6,5]=>[1,4,2,1]=>13
[8,3,5,1,4,2,7,6]=>[1,4,2,1]=>13
[8,1,5,3,4,2,7,6]=>[2,3,2,1]=>14
[8,4,5,1,3,2,7,6]=>[1,4,2,1]=>13
[2,1,8,4,5,3,7,6]=>[2,3,2,1]=>14
[8,6,7,4,5,1,3,2]=>[1,4,2,1]=>13
[8,6,7,1,5,3,4,2]=>[1,4,2,1]=>13
[8,6,7,3,5,1,4,2]=>[1,4,2,1]=>13
[8,3,7,5,6,1,4,2]=>[1,2,4,1]=>11
[8,5,7,3,6,1,4,2]=>[1,3,3,1]=>12
[8,3,7,4,6,2,5,1]=>[1,3,3,1]=>12
[8,3,7,4,6,1,5,2]=>[1,3,3,1]=>12
[8,3,7,1,6,4,5,2]=>[1,3,3,1]=>12
[8,1,7,3,6,4,5,2]=>[2,2,3,1]=>13
[8,1,7,5,6,3,4,2]=>[2,1,4,1]=>12
[8,4,7,5,6,1,3,2]=>[1,2,4,1]=>11
[2,1,8,4,7,5,6,3]=>[2,2,3,1]=>13
[8,1,7,3,4,2,6,5]=>[2,3,2,1]=>14
[8,1,7,3,6,2,5,4]=>[2,2,3,1]=>13
[8,3,7,1,6,2,5,4]=>[1,3,3,1]=>12
[8,3,7,2,6,4,5,1]=>[1,3,3,1]=>12
[8,2,7,3,6,4,5,1]=>[2,2,3,1]=>13
[8,2,7,3,6,1,5,4]=>[2,2,3,1]=>13
[8,2,7,1,6,3,5,4]=>[2,2,3,1]=>13
[8,1,7,2,4,3,6,5]=>[2,3,2,1]=>14
[8,1,3,2,7,4,6,5]=>[3,1,3,1]=>14
[2,1,8,3,7,4,6,5]=>[2,2,3,1]=>13
[8,1,5,2,4,3,7,6]=>[2,3,2,1]=>14
[8,2,7,1,4,3,6,5]=>[2,3,2,1]=>14
[8,2,7,3,4,1,6,5]=>[2,3,2,1]=>14
[8,2,7,5,6,3,4,1]=>[2,1,4,1]=>12
[8,4,7,5,6,2,3,1]=>[1,2,4,1]=>11
[8,4,7,2,3,1,6,5]=>[1,4,2,1]=>13
[8,2,3,1,7,4,6,5]=>[3,1,3,1]=>14
[8,2,3,1,5,4,7,6]=>[3,2,2,1]=>15
[4,2,3,1,8,5,7,6]=>[3,1,3,1]=>14
[4,1,3,2,8,6,7,5]=>[3,1,3,1]=>14
[8,6,7,2,3,1,5,4]=>[1,4,2,1]=>13
[8,2,3,1,7,5,6,4]=>[3,1,3,1]=>14
[8,5,7,2,6,3,4,1]=>[1,3,3,1]=>12
[8,5,7,2,6,1,4,3]=>[1,3,3,1]=>12
[8,2,7,5,6,1,4,3]=>[2,1,4,1]=>12
[8,6,7,2,5,1,4,3]=>[1,4,2,1]=>13
[8,6,7,1,5,2,4,3]=>[1,4,2,1]=>13
[8,6,7,1,3,2,5,4]=>[1,4,2,1]=>13
[2,1,8,6,7,3,5,4]=>[2,1,4,1]=>12
[2,1,8,3,7,5,6,4]=>[2,2,3,1]=>13
[8,1,3,2,7,5,6,4]=>[3,1,3,1]=>14
[8,1,7,5,6,2,4,3]=>[2,1,4,1]=>12
[8,1,7,2,6,4,5,3]=>[2,2,3,1]=>13
[8,2,7,1,6,4,5,3]=>[2,2,3,1]=>13
[8,2,7,4,6,1,5,3]=>[2,2,3,1]=>13
[8,2,7,4,6,3,5,1]=>[2,2,3,1]=>13
[8,4,7,2,6,3,5,1]=>[1,3,3,1]=>12
[8,4,7,2,6,1,5,3]=>[1,3,3,1]=>12
[8,4,7,1,6,2,5,3]=>[1,3,3,1]=>12
[8,1,7,4,6,2,5,3]=>[2,2,3,1]=>13
[8,5,7,1,6,2,4,3]=>[1,3,3,1]=>12
[2,1,8,5,7,3,6,4]=>[2,1,4,1]=>12
[8,5,7,4,6,1,3,2]=>[1,3,3,1]=>12
[8,5,7,1,6,3,4,2]=>[1,3,3,1]=>12
[8,1,7,4,6,3,5,2]=>[2,2,3,1]=>13
[8,4,7,1,6,3,5,2]=>[1,3,3,1]=>12
[8,4,7,3,6,1,5,2]=>[1,3,3,1]=>12
[2,4,8,3,6,1,7,5]=>[4,3,1]=>11
[6,5,8,1,3,2,7,4]=>[1,4,2,1]=>13
[4,5,8,6,3,2,7,1]=>[3,2,2,1]=>15
[6,5,8,7,3,1,2,4]=>[1,2,2,3]=>9
[1,5,8,7,3,6,2,4]=>[1,2,3,2]=>10
[1,7,2,8,4,6,5,3]=>[1,2,3,1,1]=>17
[6,7,2,8,4,1,5,3]=>[3,2,2,1]=>15
[3,6,2,8,4,5,7,1]=>[3,4,1]=>10
[2,6,1,8,4,5,7,3]=>[3,4,1]=>10
[2,8,4,6,1,5,7,3]=>[2,5,1]=>9
[6,3,1,8,4,5,7,2]=>[1,2,4,1]=>11
[3,1,6,8,4,5,7,2]=>[2,5,1]=>9
[2,3,6,8,4,5,7,1]=>[7,1]=>7
[6,3,7,8,4,1,5,2]=>[1,4,2,1]=>13
[1,3,7,8,4,6,5,2]=>[1,5,1,1]=>14
[1,5,7,8,2,4,6,3]=>[1,6,1]=>8
[5,1,7,8,2,4,6,3]=>[2,5,1]=>9
[3,6,7,8,4,2,5,1]=>[5,2,1]=>12
[7,6,1,8,4,2,5,3]=>[1,2,2,2,1]=>16
[5,6,8,7,3,2,1,4]=>[3,2,1,2]=>14
[2,8,3,7,1,6,5,4]=>[3,3,1,1]=>16
[5,2,8,7,3,6,1,4]=>[2,1,3,2]=>11
[7,2,1,8,4,6,5,3]=>[2,1,3,1,1]=>18
[3,2,7,8,4,6,5,1]=>[2,4,1,1]=>15
[5,2,7,8,1,4,6,3]=>[2,5,1]=>9
[1,2,7,8,5,4,6,3]=>[2,3,2,1]=>14
[4,2,1,3,8,5,6,7]=>[2,2,4]=>6
[7,2,5,8,3,4,6,1]=>[2,5,1]=>9
[6,2,8,5,4,3,1,7]=>[2,1,2,1,2]=>16
[2,8,3,5,4,1,6,7]=>[3,2,3]=>8
[2,8,4,5,3,1,6,7]=>[2,3,3]=>7
[6,4,8,5,2,3,1,7]=>[1,2,3,2]=>10
[7,3,5,8,2,4,6,1]=>[1,6,1]=>8
[4,3,1,2,8,5,6,7]=>[1,3,4]=>5
[3,4,2,1,8,5,6,7]=>[3,1,4]=>7
[2,7,6,8,4,3,5,1]=>[2,3,2,1]=>14
[5,7,1,8,3,4,6,2]=>[3,4,1]=>10
[3,7,5,8,1,4,6,2]=>[2,5,1]=>9
[1,7,5,8,3,4,6,2]=>[1,1,5,1]=>10
[1,6,8,5,4,3,2,7]=>[1,2,2,1,2]=>15
[4,6,8,5,1,3,2,7]=>[3,3,2]=>9
[5,6,8,1,4,3,2,7]=>[5,1,2]=>11
[7,5,8,6,3,4,2,1]=>[1,2,3,1,1]=>17
[2,4,8,3,6,5,1,7]=>[4,2,2]=>10
[2,8,4,1,5,6,3,7]=>[2,4,2]=>8
[4,1,8,3,5,6,2,7]=>[2,4,2]=>8
[5,6,8,4,1,3,2,7]=>[4,2,2]=>10
[4,6,8,1,5,3,2,7]=>[5,1,2]=>11
[1,6,8,4,5,3,2,7]=>[1,4,1,2]=>12
[1,7,3,8,5,4,6,2]=>[1,2,2,2,1]=>16
[3,7,1,8,5,4,6,2]=>[3,2,2,1]=>15
[2,7,3,8,4,6,5,1]=>[3,3,1,1]=>16
[7,1,3,8,4,6,5,2]=>[3,3,1,1]=>16
[5,7,8,4,3,6,1,2]=>[4,2,2]=>10
[2,8,7,4,1,6,5,3]=>[2,2,2,1,1]=>19
[2,8,5,4,3,1,6,7]=>[2,2,1,3]=>11
[6,5,8,4,2,3,1,7]=>[1,3,2,2]=>11
[4,1,3,2,8,5,6,7]=>[3,1,4]=>7
[1,4,3,2,8,5,6,7]=>[1,2,1,4]=>8
[7,3,2,8,5,4,6,1]=>[1,2,2,2,1]=>16
[6,4,8,2,5,3,1,7]=>[1,4,1,2]=>12
[2,8,4,3,5,1,6,7]=>[2,3,3]=>7
[2,8,3,4,5,1,6,7]=>[5,3]=>5
[6,2,8,4,5,3,1,7]=>[2,3,1,2]=>13
[7,2,3,8,5,4,6,1]=>[3,2,2,1]=>15
[4,2,3,1,8,5,6,7]=>[3,1,4]=>7
[3,2,1,4,8,5,6,7]=>[2,2,4]=>6
[5,1,3,2,4,8,6,7]=>[3,2,3]=>8
[2,8,1,5,3,4,7,6]=>[3,4,1]=>10
[1,2,8,4,5,3,7,6]=>[2,3,2,1]=>14
[1,4,2,8,5,3,6,7]=>[1,2,2,3]=>9
[1,8,4,2,5,3,6,7]=>[1,1,3,3]=>8
[8,1,5,3,2,4,6,7]=>[2,2,4]=>6
[3,8,1,5,2,4,6,7]=>[3,5]=>3
[3,5,1,4,8,2,6,7]=>[4,4]=>4
[1,5,2,8,4,3,6,7]=>[1,2,2,3]=>9
[1,2,8,5,4,3,6,7]=>[2,1,2,3]=>10
[1,2,5,4,3,8,6,7]=>[2,2,1,3]=>11
[1,2,4,8,5,3,7,6]=>[2,3,2,1]=>14
[1,2,7,4,8,5,3,6]=>[2,2,2,2]=>12
[1,5,2,7,8,4,3,6]=>[1,2,3,2]=>10
[5,1,2,7,4,8,3,6]=>[3,2,3]=>8
[8,3,5,1,4,7,2,6]=>[1,4,3]=>6
[2,8,1,5,4,7,3,6]=>[3,2,3]=>8
[1,2,8,5,7,4,3,6]=>[2,1,3,2]=>11
[1,2,4,8,7,5,3,6]=>[2,2,2,2]=>12
[2,8,1,4,3,7,6,5]=>[4,1,2,1]=>16
[6,1,2,8,7,4,3,5]=>[3,1,2,2]=>13
[6,4,1,2,8,7,3,5]=>[1,3,1,3]=>10
[3,6,4,8,1,7,2,5]=>[2,3,3]=>7
[7,6,1,4,2,8,3,5]=>[1,3,1,3]=>10
[7,1,6,2,8,4,3,5]=>[2,2,2,2]=>12
[1,6,7,2,8,4,3,5]=>[1,3,2,2]=>11
[6,7,1,4,2,8,3,5]=>[4,1,3]=>9
[6,3,7,1,4,8,2,5]=>[1,4,3]=>6
[3,7,8,1,5,2,4,6]=>[5,3]=>5
[7,1,2,8,5,3,4,6]=>[3,2,3]=>8
[1,7,2,8,4,5,3,6]=>[1,2,3,2]=>10
[1,4,2,7,8,5,3,6]=>[1,2,3,2]=>10
[6,1,2,8,4,3,7,5]=>[3,2,2,1]=>15
[6,4,1,2,8,3,7,5]=>[1,3,3,1]=>12
[7,6,1,3,2,4,8,5]=>[1,3,2,2]=>11
[6,7,1,3,2,4,8,5]=>[4,2,2]=>10
[1,2,7,3,5,8,4,6]=>[2,3,3]=>7
[1,2,7,5,8,3,4,6]=>[2,1,5]=>5
[5,8,1,3,7,2,4,6]=>[4,4]=>4
[1,2,5,8,7,3,4,6]=>[2,2,4]=>6
[1,2,5,8,3,7,4,6]=>[2,3,3]=>7
[2,8,1,7,3,5,4,6]=>[3,3,2]=>9
[8,6,1,3,2,4,7,5]=>[1,3,3,1]=>12
[4,2,8,1,7,3,6,5]=>[2,2,3,1]=>13
[2,8,1,7,4,3,6,5]=>[3,2,2,1]=>15
[7,1,2,8,4,3,6,5]=>[3,2,2,1]=>15
[1,2,8,4,7,5,3,6]=>[2,2,2,2]=>12
[1,2,8,7,4,5,3,6]=>[2,1,3,2]=>11
[2,8,1,7,5,3,4,6]=>[3,2,3]=>8
[8,3,7,1,5,2,4,6]=>[1,4,3]=>6
[3,8,6,1,4,7,2,5]=>[2,3,3]=>7
[8,6,1,4,2,7,3,5]=>[1,3,1,3]=>10
[8,1,6,2,7,4,3,5]=>[2,2,2,2]=>12
[7,1,2,8,6,4,3,5]=>[3,1,2,2]=>13
[7,4,1,2,8,6,3,5]=>[1,3,2,2]=>11
[3,7,4,8,1,6,2,5]=>[2,4,2]=>8
[3,4,8,7,1,6,2,5]=>[3,3,2]=>9
[4,2,8,1,7,6,3,5]=>[2,2,2,2]=>12
[2,8,1,7,6,4,3,5]=>[3,1,2,2]=>13
[7,8,3,4,1,5,2,6]=>[4,2,2]=>10
[7,8,3,4,1,6,2,5]=>[4,2,2]=>10
[6,8,3,4,1,7,2,5]=>[4,1,3]=>9
[6,7,3,4,1,8,2,5]=>[4,1,3]=>9
[5,7,3,4,1,8,2,6]=>[4,1,3]=>9
[5,8,3,4,1,7,2,6]=>[4,1,3]=>9
[5,8,3,4,1,6,2,7]=>[4,2,2]=>10
[6,8,3,4,1,5,2,7]=>[4,2,2]=>10
[6,7,3,4,1,5,2,8]=>[4,2,2]=>10
[5,7,3,4,1,6,2,8]=>[4,2,2]=>10
[5,6,2,8,3,4,1,7]=>[3,3,2]=>9
[5,6,2,7,3,4,1,8]=>[3,3,2]=>9
[4,6,2,8,3,5,1,7]=>[3,3,2]=>9
[4,7,3,5,1,6,2,8]=>[3,3,2]=>9
[4,8,3,5,1,6,2,7]=>[3,3,2]=>9
[4,8,3,5,1,7,2,6]=>[3,2,3]=>8
[4,7,3,5,1,8,2,6]=>[3,2,3]=>8
[5,6,2,3,1,7,4,8]=>[4,1,3]=>9
[5,6,2,4,1,8,3,7]=>[4,1,3]=>9
[5,6,2,4,1,7,3,8]=>[4,1,3]=>9
[4,6,2,5,1,7,3,8]=>[3,2,3]=>8
[4,6,2,5,1,8,3,7]=>[3,2,3]=>8
[4,5,1,8,3,7,2,6]=>[3,2,3]=>8
[4,5,1,7,3,8,2,6]=>[3,2,3]=>8
[4,6,2,7,3,8,1,5]=>[3,2,3]=>8
[5,6,2,7,3,8,1,4]=>[3,2,3]=>8
[5,6,2,7,4,8,1,3]=>[3,2,3]=>8
[5,6,3,8,4,7,1,2]=>[3,2,3]=>8
[5,6,2,8,4,7,1,3]=>[3,2,3]=>8
[5,6,2,8,3,7,1,4]=>[3,2,3]=>8
[4,6,2,8,3,7,1,5]=>[3,2,3]=>8
[4,5,1,7,3,6,2,8]=>[3,3,2]=>9
[4,5,1,8,3,6,2,7]=>[3,3,2]=>9
[6,5,3,2,1,4,8,7]=>[1,2,1,2,2]=>14
[4,6,3,5,2,1,8,7]=>[3,2,1,2]=>14
[8,7,3,5,2,4,1,6]=>[1,2,3,2]=>10
[6,8,2,4,5,7,3,1]=>[5,2,1]=>12
[8,7,2,4,5,3,1,6]=>[1,4,1,2]=>12
[3,6,1,4,5,2,8,7]=>[5,1,2]=>11
[8,3,7,4,5,2,1,6]=>[1,4,1,2]=>12
[6,3,8,4,5,7,2,1]=>[1,4,2,1]=>13
[5,8,7,4,3,6,2,1]=>[2,2,2,1,1]=>19
[2,8,7,4,3,6,1,5]=>[2,2,2,2]=>12
[8,1,7,4,3,6,2,5]=>[2,2,2,2]=>12
[8,7,3,5,1,4,2,6]=>[1,2,3,2]=>10
[2,1,6,8,5,7,4,3]=>[2,3,2,1]=>14
[6,8,3,5,1,7,4,2]=>[3,2,2,1]=>15
[5,1,8,4,7,6,3,2]=>[2,2,2,1,1]=>19
[2,5,8,4,7,6,3,1]=>[4,2,1,1]=>17
[4,3,8,1,5,6,7,2]=>[1,6,1]=>8
[4,8,1,3,5,6,7,2]=>[7,1]=>7
[5,8,7,4,1,6,3,2]=>[2,2,2,1,1]=>19
[5,8,3,6,1,4,7,2]=>[3,4,1]=>10
[4,8,3,6,1,2,7,5]=>[3,4,1]=>10
[3,8,7,4,1,6,2,5]=>[2,2,2,2]=>12
[3,8,1,2,5,6,7,4]=>[7,1]=>7
[8,7,1,4,2,6,3,5]=>[1,3,2,2]=>11
[8,6,3,1,2,4,7,5]=>[1,2,4,1]=>11
[8,1,7,4,5,2,3,6]=>[2,3,3]=>7
[2,8,7,4,5,1,3,6]=>[2,3,3]=>7
[8,7,2,4,1,6,3,5]=>[1,3,2,2]=>11
[5,8,3,6,2,4,7,1]=>[3,4,1]=>10
[8,6,3,2,1,4,7,5]=>[1,2,1,3,1]=>15
[8,7,3,5,2,1,4,6]=>[1,2,2,3]=>9
[5,8,3,6,2,1,7,4]=>[3,2,2,1]=>15
[5,8,7,4,2,6,1,3]=>[2,2,2,2]=>12
[2,6,8,4,5,7,1,3]=>[5,3]=>5
[6,1,8,4,5,7,2,3]=>[2,3,3]=>7
[6,8,3,5,1,7,2,4]=>[3,2,3]=>8
[2,1,5,8,3,6,7,4]=>[2,5,1]=>9
[5,8,3,6,1,2,7,4]=>[3,4,1]=>10
[4,1,8,2,5,6,7,3]=>[2,5,1]=>9
[2,4,8,1,5,6,7,3]=>[7,1]=>7
[4,8,2,1,5,6,7,3]=>[3,4,1]=>10
[3,4,8,2,5,6,7,1]=>[7,1]=>7
[5,8,1,4,7,6,2,3]=>[4,2,2]=>10
[5,8,3,1,6,2,7,4]=>[3,1,3,1]=>14
[4,5,3,8,6,1,7,2]=>[3,1,3,1]=>14
[3,4,1,8,5,6,7,2]=>[3,4,1]=>10
[4,5,7,6,2,3,8,1]=>[3,3,2]=>9
[3,5,7,2,6,4,8,1]=>[4,2,2]=>10
[2,5,7,3,6,4,8,1]=>[4,2,2]=>10
[1,5,7,3,6,8,4,2]=>[1,3,3,1]=>12
[8,4,3,7,6,1,5,2]=>[1,2,1,3,1]=>15
[6,7,2,3,5,4,8,1]=>[5,1,2]=>11
[5,2,7,3,6,4,8,1]=>[2,2,2,2]=>12
[8,3,4,7,6,1,5,2]=>[1,3,3,1]=>12
[8,2,4,7,1,6,5,3]=>[2,4,1,1]=>15
[3,1,4,7,6,8,5,2]=>[2,2,3,1]=>13
[4,1,3,7,6,8,5,2]=>[3,1,3,1]=>14
[5,1,7,3,6,8,4,2]=>[2,2,3,1]=>13
[6,7,1,3,5,8,4,2]=>[5,2,1]=>12
[5,8,7,3,6,1,4,2]=>[2,2,3,1]=>13
[4,8,3,7,6,1,5,2]=>[3,1,3,1]=>14
[3,8,4,7,6,1,5,2]=>[2,2,3,1]=>13
[2,8,4,7,1,6,5,3]=>[2,4,1,1]=>15
[8,1,4,7,2,6,5,3]=>[2,4,1,1]=>15
[8,1,3,2,7,6,5,4]=>[3,1,2,1,1]=>20
[2,8,3,1,7,6,5,4]=>[3,1,2,1,1]=>20
[3,8,2,1,7,6,5,4]=>[3,1,2,1,1]=>20
[6,7,1,2,8,5,4,3]=>[4,2,1,1]=>17
[8,2,3,1,7,6,5,4]=>[3,1,2,1,1]=>20
[8,3,2,1,7,6,5,4]=>[1,2,1,2,1,1]=>21
[3,4,1,7,6,8,5,2]=>[3,1,3,1]=>14
[1,4,2,7,8,6,5,3]=>[1,2,3,1,1]=>17
[8,4,2,7,1,6,5,3]=>[1,2,3,1,1]=>17
[8,5,7,2,1,6,4,3]=>[1,3,2,1,1]=>18
[1,5,7,2,8,6,4,3]=>[1,3,2,1,1]=>18
[2,5,7,1,8,6,4,3]=>[4,2,1,1]=>17
[3,5,7,1,6,8,4,2]=>[4,3,1]=>11
[6,7,4,5,8,1,3,2]=>[2,5,1]=>9
[5,4,7,6,8,1,3,2]=>[1,2,4,1]=>11
[2,5,7,8,1,6,4,3]=>[6,1,1]=>13
[1,5,7,8,2,6,4,3]=>[1,5,1,1]=>14
[8,5,7,1,2,6,4,3]=>[1,5,1,1]=>14
[8,4,1,7,2,6,5,3]=>[1,2,3,1,1]=>17
[1,4,8,7,2,6,5,3]=>[1,2,3,1,1]=>17
[3,4,8,7,6,1,5,2]=>[3,1,3,1]=>14
[4,3,8,7,6,1,5,2]=>[1,2,1,3,1]=>15
[5,3,7,8,6,1,4,2]=>[1,3,3,1]=>12
[6,7,2,8,1,5,4,3]=>[3,3,1,1]=>16
[5,2,7,8,1,6,4,3]=>[2,4,1,1]=>15
[4,2,8,7,1,6,5,3]=>[2,1,3,1,1]=>18
[3,2,8,1,7,6,5,4]=>[2,2,2,1,1]=>19
[1,3,8,2,7,6,5,4]=>[1,3,2,1,1]=>18
[8,3,1,2,7,6,5,4]=>[1,3,2,1,1]=>18
[8,2,1,3,7,6,5,4]=>[2,2,2,1,1]=>19
[1,2,8,3,7,6,5,4]=>[2,2,2,1,1]=>19
[2,1,8,3,7,6,5,4]=>[2,2,2,1,1]=>19
[4,1,8,7,2,6,5,3]=>[2,1,3,1,1]=>18
[5,1,7,8,2,6,4,3]=>[2,4,1,1]=>15
[6,7,1,8,2,5,4,3]=>[3,3,1,1]=>16
[5,8,7,1,2,6,4,3]=>[2,4,1,1]=>15
[4,8,1,7,2,6,5,3]=>[3,3,1,1]=>16
[3,8,1,2,7,6,5,4]=>[4,2,1,1]=>17
[2,8,1,3,7,6,5,4]=>[4,2,1,1]=>17
[1,8,2,3,7,6,5,4]=>[1,3,2,1,1]=>18
[8,1,2,3,7,6,5,4]=>[4,2,1,1]=>17
[10,3,4,5,6,7,8,1,2,9]=>[1,9]=>1
[11,3,4,5,6,7,8,9,1,2,10]=>[1,10]=>1
[6,7,1,8,4,5,2,3]=>[3,3,2]=>9
[3,7,1,5,8,2,6,4]=>[3,4,1]=>10
[2,7,1,5,8,3,6,4]=>[3,4,1]=>10
[2,6,5,1,8,3,7,4]=>[2,2,3,1]=>13
[3,6,5,1,8,2,7,4]=>[2,2,3,1]=>13
[4,6,5,1,8,7,2,3]=>[2,2,1,3]=>11
[5,6,4,1,8,7,2,3]=>[2,2,1,3]=>11
[8,1,4,5,7,6,2,3]=>[2,4,2]=>8
[6,4,5,1,8,7,2,3]=>[1,3,1,3]=>10
[5,4,6,1,8,7,2,3]=>[1,3,1,3]=>10
[4,5,6,1,8,7,2,3]=>[4,1,3]=>9
[3,5,6,1,8,2,7,4]=>[4,3,1]=>11
[2,5,6,1,8,3,7,4]=>[4,3,1]=>11
[2,4,6,1,3,8,7,5]=>[5,2,1]=>12
[3,4,6,1,2,8,7,5]=>[5,2,1]=>12
[4,3,6,1,2,8,7,5]=>[1,4,2,1]=>13
[5,3,6,1,8,2,7,4]=>[1,3,3,1]=>12
[7,3,1,5,8,2,6,4]=>[1,2,4,1]=>11
[8,1,3,5,7,2,6,4]=>[3,4,1]=>10
[8,1,2,5,7,3,6,4]=>[3,4,1]=>10
[7,2,1,5,8,3,6,4]=>[2,1,4,1]=>12
[6,2,5,1,8,3,7,4]=>[2,2,3,1]=>13
[4,2,6,1,3,8,7,5]=>[2,3,2,1]=>14
[2,3,6,1,4,8,7,5]=>[5,2,1]=>12
[4,2,5,3,1,8,7,6]=>[2,2,1,2,1]=>18
[6,2,4,1,3,8,7,5]=>[2,3,2,1]=>14
[7,2,1,4,3,8,6,5]=>[2,2,1,2,1]=>18
[8,1,2,4,3,7,6,5]=>[4,1,2,1]=>16
[8,1,3,4,2,7,6,5]=>[4,1,2,1]=>16
[7,3,1,4,2,8,6,5]=>[1,3,1,2,1]=>17
[6,3,4,1,2,8,7,5]=>[1,4,2,1]=>13
[4,6,3,1,2,8,7,5]=>[3,2,2,1]=>15
[3,6,4,1,2,8,7,5]=>[2,3,2,1]=>14
[2,6,4,1,3,8,7,5]=>[2,3,2,1]=>14
[2,7,1,4,3,8,6,5]=>[4,1,2,1]=>16
[3,7,1,4,2,8,6,5]=>[4,1,2,1]=>16
[4,7,1,3,2,8,6,5]=>[4,1,2,1]=>16
[8,1,6,7,2,3,5,4]=>[2,5,1]=>9
[4,7,1,2,3,8,6,5]=>[5,2,1]=>12
[3,7,1,2,4,8,6,5]=>[5,2,1]=>12
[2,7,1,3,4,8,6,5]=>[5,2,1]=>12
[2,6,3,1,4,8,7,5]=>[3,2,2,1]=>15
[3,6,2,1,4,8,7,5]=>[3,2,2,1]=>15
[5,6,2,1,8,3,7,4]=>[3,1,3,1]=>14
[6,5,2,1,8,3,7,4]=>[1,2,1,3,1]=>15
[8,1,5,2,7,3,6,4]=>[2,2,3,1]=>13
[8,1,4,2,3,7,6,5]=>[2,3,2,1]=>14
[7,4,1,2,3,8,6,5]=>[1,4,2,1]=>13
[6,4,2,1,3,8,7,5]=>[1,2,2,2,1]=>16
[5,4,2,3,1,8,7,6]=>[1,3,1,2,1]=>17
[3,5,2,4,1,8,7,6]=>[4,1,2,1]=>16
[6,3,2,1,4,8,7,5]=>[1,2,2,2,1]=>16
[7,3,1,2,4,8,6,5]=>[1,4,2,1]=>13
[8,1,3,2,4,7,6,5]=>[3,2,2,1]=>15
[8,1,2,3,4,7,6,5]=>[5,2,1]=>12
[7,2,1,3,4,8,6,5]=>[2,3,2,1]=>14
[6,2,3,1,4,8,7,5]=>[3,2,2,1]=>15
[2,4,3,6,1,5,8,7]=>[3,3,2]=>9
[2,4,3,6,5,8,1,7]=>[3,2,3]=>8
[2,4,6,3,5,8,7,1]=>[5,2,1]=>12
[2,4,6,3,5,8,1,7]=>[5,3]=>5
[2,4,6,3,5,1,8,7]=>[5,1,2]=>11
[2,4,6,3,1,5,8,7]=>[4,2,2]=>10
[2,4,1,6,5,3,8,7]=>[3,2,1,2]=>14
[2,4,6,1,5,3,8,7]=>[5,1,2]=>11
[4,2,6,5,3,1,8,7]=>[2,1,2,1,2]=>16
[4,2,6,5,1,3,8,7]=>[2,1,3,2]=>11
[4,2,6,5,1,8,7,3]=>[2,1,2,2,1]=>17
[4,2,6,5,8,1,7,3]=>[2,1,4,1]=>12
[4,2,6,5,8,1,3,7]=>[2,1,5]=>5
[4,2,6,5,8,3,1,7]=>[2,1,3,2]=>11
[2,4,6,1,5,8,3,7]=>[5,3]=>5
[2,4,1,6,5,8,3,7]=>[3,2,3]=>8
[2,1,4,6,5,8,3,7]=>[2,3,3]=>7
[2,4,1,6,5,8,7,3]=>[3,2,2,1]=>15
[2,4,6,1,5,8,7,3]=>[5,2,1]=>12
[4,2,6,5,3,8,7,1]=>[2,1,2,2,1]=>17
[4,2,6,5,8,3,7,1]=>[2,1,4,1]=>12
[2,6,4,3,8,7,1,5]=>[2,2,1,3]=>11
[2,6,4,3,8,7,5,1]=>[2,2,1,2,1]=>18
[4,2,6,8,5,3,7,1]=>[2,3,2,1]=>14
[2,4,6,8,1,5,7,3]=>[7,1]=>7
[2,4,6,1,8,5,7,3]=>[4,3,1]=>11
[2,4,1,6,8,5,7,3]=>[3,4,1]=>10
[2,1,4,6,8,5,7,3]=>[2,5,1]=>9
[2,1,4,6,8,5,3,7]=>[2,4,2]=>8
[2,4,1,6,8,5,3,7]=>[3,3,2]=>9
[2,4,6,1,8,5,3,7]=>[4,2,2]=>10
[2,4,6,8,1,5,3,7]=>[6,2]=>6
[4,2,6,8,5,3,1,7]=>[2,3,1,2]=>13
[4,2,6,8,5,1,3,7]=>[2,3,3]=>7
[4,2,6,8,5,1,7,3]=>[2,3,2,1]=>14
[2,4,6,8,3,5,7,1]=>[7,1]=>7
[2,4,6,8,3,5,1,7]=>[6,2]=>6
[2,4,6,8,3,1,5,7]=>[5,3]=>5
[2,4,6,3,1,8,5,7]=>[4,1,3]=>9
[2,4,6,3,8,1,5,7]=>[4,4]=>4
[2,4,6,3,8,5,1,7]=>[4,2,2]=>10
[2,4,6,3,8,5,7,1]=>[4,3,1]=>11
[2,4,3,6,8,5,7,1]=>[3,4,1]=>10
[2,4,3,6,8,5,1,7]=>[3,3,2]=>9
[2,4,3,6,8,1,5,7]=>[3,5]=>3
[2,4,3,6,1,8,5,7]=>[3,2,3]=>8
[2,4,3,1,6,8,5,7]=>[3,1,4]=>7
[2,4,1,3,6,8,7,5]=>[4,3,1]=>11
[2,4,3,6,1,8,7,5]=>[3,2,2,1]=>15
[2,4,3,6,8,1,7,5]=>[3,4,1]=>10
[4,6,5,2,8,7,3,1]=>[2,2,1,2,1]=>18
[4,6,5,2,8,7,1,3]=>[2,2,1,3]=>11
[4,6,2,5,8,7,1,3]=>[3,2,3]=>8
[4,6,2,5,8,7,3,1]=>[3,2,2,1]=>15
[2,4,6,3,8,1,7,5]=>[4,3,1]=>11
[2,4,6,3,1,8,7,5]=>[4,1,2,1]=>16
[2,4,1,6,3,8,7,5]=>[3,2,2,1]=>15
[2,1,4,6,3,8,7,5]=>[2,3,2,1]=>14
[2,1,4,6,8,3,7,5]=>[2,5,1]=>9
[2,4,1,6,8,3,7,5]=>[3,4,1]=>10
[2,4,6,1,8,3,7,5]=>[4,3,1]=>11
[2,4,6,8,1,3,7,5]=>[7,1]=>7
[2,4,6,8,3,1,7,5]=>[5,2,1]=>12
[4,6,2,8,5,7,3,1]=>[3,2,2,1]=>15
[4,6,2,8,5,7,1,3]=>[3,2,3]=>8
[6,2,4,8,7,1,3,5]=>[2,2,4]=>6
[6,4,2,8,7,5,3,1]=>[1,2,1,2,1,1]=>21
[2,6,4,8,1,7,5,3]=>[2,3,2,1]=>14
[2,6,4,1,8,7,5,3]=>[2,2,1,2,1]=>18
[2,6,1,4,8,7,5,3]=>[4,1,2,1]=>16
[2,1,6,4,8,7,5,3]=>[2,2,1,2,1]=>18
[2,1,6,4,8,7,3,5]=>[2,2,1,3]=>11
[2,6,1,4,8,7,3,5]=>[4,1,3]=>9
[2,6,4,1,8,7,3,5]=>[2,2,1,3]=>11
[2,6,4,8,1,7,3,5]=>[2,3,3]=>7
[6,4,2,8,7,5,1,3]=>[1,2,1,2,2]=>14
[6,2,4,8,7,3,5,1]=>[2,2,3,1]=>13
[6,2,4,8,7,3,1,5]=>[2,2,2,2]=>12
[1,6,4,7,3,8,2,5]=>[1,1,3,3]=>8
[1,3,7,4,5,8,2,6]=>[1,4,3]=>6
[5,2,4,7,3,6,8,1]=>[2,4,2]=>8
[1,7,6,3,4,8,2,5]=>[1,1,3,3]=>8
[8,1,6,3,7,2,4,5]=>[2,2,4]=>6
[7,1,6,3,8,2,4,5]=>[2,2,4]=>6
[1,2,7,4,8,3,5,6]=>[2,2,4]=>6
[6,1,7,3,4,8,2,5]=>[2,3,3]=>7
[2,1,7,4,5,8,3,6]=>[2,3,3]=>7
[5,1,4,7,3,8,2,6]=>[2,3,3]=>7
[4,3,1,7,5,8,2,6]=>[1,2,2,3]=>9
[2,8,6,3,7,1,4,5]=>[2,2,4]=>6
[6,8,1,3,7,2,4,5]=>[4,4]=>4
[5,8,2,1,7,3,4,6]=>[3,1,4]=>7
[5,7,2,1,8,3,4,6]=>[3,1,4]=>7
[6,7,1,3,8,2,4,5]=>[4,4]=>4
[5,1,2,4,8,3,6,7]=>[4,4]=>4
[4,3,6,1,5,8,2,7]=>[1,4,3]=>6
[2,6,1,4,5,8,3,7]=>[5,3]=>5
[6,5,1,3,4,8,2,7]=>[1,4,3]=>6
[1,6,2,4,8,3,5,7]=>[1,3,4]=>5
[8,5,1,3,7,2,4,6]=>[1,3,4]=>5
[1,5,3,2,8,4,6,7]=>[1,2,1,4]=>8
[6,4,2,1,5,8,3,7]=>[1,2,2,3]=>9
[2,5,3,4,1,8,6,7]=>[4,1,3]=>9
[4,3,5,2,1,8,6,7]=>[1,3,1,3]=>10
[2,6,4,8,7,1,3,5]=>[2,2,4]=>6
[1,6,4,8,7,2,3,5]=>[1,1,2,4]=>7
[2,7,8,3,6,1,4,5]=>[4,4]=>4
[4,3,2,8,7,1,5,6]=>[1,2,1,4]=>8
[5,2,4,8,7,1,3,6]=>[2,2,4]=>6
[6,2,8,3,7,1,4,5]=>[2,2,4]=>6
[5,1,4,8,7,2,3,6]=>[2,2,4]=>6
[4,8,2,5,1,3,7,6]=>[3,4,1]=>10
[4,7,2,5,1,3,8,6]=>[3,3,2]=>9
[3,7,2,1,5,4,8,6]=>[3,2,1,2]=>14
[3,8,2,1,5,4,7,6]=>[3,2,2,1]=>15
[8,3,2,1,5,4,6,7]=>[1,2,2,3]=>9
[8,3,2,1,6,4,5,7]=>[1,2,1,4]=>8
[8,4,2,5,1,6,3,7]=>[1,2,3,2]=>10
[8,3,2,1,5,6,4,7]=>[1,2,3,2]=>10
[8,3,2,1,4,6,5,7]=>[1,2,3,2]=>10
[3,8,2,1,4,5,7,6]=>[3,4,1]=>10
[3,7,2,1,4,5,8,6]=>[3,3,2]=>9
[3,2,7,1,4,6,8,5]=>[2,4,2]=>8
[3,2,8,1,4,6,7,5]=>[2,5,1]=>9
[3,2,8,1,4,7,6,5]=>[2,3,2,1]=>14
[3,8,2,1,4,7,5,6]=>[3,2,3]=>8
[3,8,2,1,5,7,4,6]=>[3,2,3]=>8
[4,8,2,5,1,7,3,6]=>[3,2,3]=>8
[4,7,2,5,1,8,3,6]=>[3,2,3]=>8
[3,7,2,1,5,8,4,6]=>[3,2,3]=>8
[3,7,2,1,4,8,5,6]=>[3,2,3]=>8
[3,2,1,7,5,8,6,4]=>[2,1,2,2,1]=>17
[3,2,7,1,6,8,4,5]=>[2,2,4]=>6
[4,2,7,6,1,8,3,5]=>[2,1,2,3]=>10
[4,3,7,6,8,1,2,5]=>[1,2,5]=>4
[4,3,8,6,7,1,2,5]=>[1,2,5]=>4
[4,2,8,6,1,7,3,5]=>[2,1,2,3]=>10
[3,2,8,1,6,7,4,5]=>[2,2,4]=>6
[3,2,1,8,7,5,6,4]=>[2,1,1,3,1]=>16
[3,8,2,1,7,4,5,6]=>[3,1,4]=>7
[3,2,8,1,7,4,6,5]=>[2,2,3,1]=>13
[3,2,8,1,6,4,7,5]=>[2,2,3,1]=>13
[3,2,7,1,6,4,8,5]=>[2,2,2,2]=>12
[4,2,7,6,1,3,8,5]=>[2,1,3,2]=>11
[4,2,8,6,1,3,7,5]=>[2,1,4,1]=>12
[4,2,8,7,1,3,6,5]=>[2,1,4,1]=>12
[5,7,8,3,4,1,2,6]=>[5,3]=>5
[4,2,7,8,1,3,6,5]=>[2,5,1]=>9
[4,2,6,8,1,3,7,5]=>[2,5,1]=>9
[4,2,6,7,1,3,8,5]=>[2,4,2]=>8
[3,2,6,1,8,4,7,5]=>[2,2,3,1]=>13
[3,7,2,1,8,4,5,6]=>[3,1,4]=>7
[3,7,2,1,8,5,4,6]=>[3,1,2,2]=>13
[4,7,3,8,5,1,2,6]=>[3,2,3]=>8
[4,3,7,8,6,1,2,5]=>[1,3,4]=>5
[3,2,7,1,8,6,4,5]=>[2,2,2,2]=>12
[3,2,1,6,8,5,7,4]=>[2,1,4,1]=>12
[3,2,6,1,8,7,4,5]=>[2,2,1,3]=>11
[4,2,6,8,1,7,3,5]=>[2,3,3]=>7
[4,3,6,8,7,1,2,5]=>[1,3,4]=>5
[4,2,6,7,1,8,3,5]=>[2,3,3]=>7
[3,2,6,1,7,8,4,5]=>[2,2,4]=>6
[3,4,6,8,7,5,1,2]=>[4,2,2]=>10
[5,3,6,4,8,7,1,2]=>[1,3,1,3]=>10
[1,4,6,2,7,8,5,3]=>[1,3,3,1]=>12
[3,1,8,5,4,2,6,7]=>[2,1,2,3]=>10
[1,2,7,5,4,8,6,3]=>[2,1,2,2,1]=>17
[6,3,7,5,4,8,1,2]=>[1,2,2,3]=>9
[7,3,8,5,4,6,1,2]=>[1,2,3,2]=>10
[3,8,7,5,4,6,1,2]=>[2,1,3,2]=>11
[4,3,6,7,8,5,1,2]=>[1,5,2]=>7
[4,5,6,3,8,7,1,2]=>[4,1,3]=>9
[3,6,8,5,4,7,1,2]=>[3,2,3]=>8
[6,8,3,5,4,7,1,2]=>[3,2,3]=>8
[7,6,3,5,4,8,1,2]=>[1,2,2,3]=>9
[1,6,2,5,4,8,7,3]=>[1,2,2,2,1]=>16
[7,1,2,5,8,3,6,4]=>[3,4,1]=>10
[1,8,2,5,7,3,6,4]=>[1,2,4,1]=>11
[6,2,1,5,4,8,7,3]=>[2,1,2,2,1]=>17
[4,1,6,2,8,7,5,3]=>[2,2,1,2,1]=>18
[7,8,1,2,4,6,5,3]=>[6,1,1]=>13
[7,8,3,1,4,2,6,5]=>[3,2,2,1]=>15
[4,3,6,1,8,2,7,5]=>[1,3,3,1]=>12
[2,3,8,5,4,1,6,7]=>[3,2,3]=>8
[4,8,1,5,2,3,7,6]=>[3,4,1]=>10
[7,5,1,6,4,3,2,8]=>[1,2,2,1,2]=>15
[5,8,1,6,4,3,2,7]=>[3,2,1,2]=>14
[6,1,5,7,4,3,2,8]=>[2,3,1,2]=>13
[1,5,8,6,4,3,2,7]=>[1,2,2,1,2]=>15
[3,4,6,1,5,8,2,7]=>[5,3]=>5
[7,8,4,1,5,3,2,6]=>[2,3,1,2]=>13
[7,8,5,1,6,3,2,4]=>[2,2,2,2]=>12
[2,6,1,5,7,3,8,4]=>[3,3,2]=>9
[1,6,8,7,4,3,2,5]=>[1,2,2,1,2]=>15
[6,8,1,7,4,3,2,5]=>[3,2,1,2]=>14
[5,6,1,7,4,3,2,8]=>[3,2,1,2]=>14
[5,1,7,6,4,3,2,8]=>[2,1,2,1,2]=>16
[6,1,7,8,4,3,2,5]=>[2,3,1,2]=>13
[7,1,8,6,4,3,2,5]=>[2,1,2,1,2]=>16
[1,8,7,6,4,3,2,5]=>[1,1,1,2,1,2]=>17
[2,1,7,5,6,3,8,4]=>[2,1,3,2]=>11
[3,1,6,7,5,8,2,4]=>[2,3,3]=>7
[7,8,1,6,5,3,2,4]=>[3,2,1,2]=>14
[7,8,2,1,4,5,6,3]=>[3,4,1]=>10
[2,8,1,5,4,6,7,3]=>[3,4,1]=>10
[7,2,1,5,4,6,8,3]=>[2,1,3,2]=>11
[1,2,8,5,6,3,7,4]=>[2,1,4,1]=>12
[6,1,2,5,7,3,8,4]=>[3,3,2]=>9
[4,2,1,5,6,3,7,8]=>[2,1,5]=>5
[4,3,6,1,5,7,2,8]=>[1,4,3]=>6
[5,1,6,3,7,8,2,4]=>[2,2,4]=>6
[1,3,6,8,5,7,2,4]=>[1,4,3]=>6
[2,4,6,3,7,1,8,5]=>[4,2,2]=>10
[1,3,6,4,8,7,2,5]=>[1,3,1,3]=>10
[4,1,6,7,3,8,2,5]=>[2,3,3]=>7
[5,4,6,1,3,7,2,8]=>[1,4,3]=>6
[6,4,1,5,2,3,7,8]=>[1,2,5]=>4
[4,1,7,5,2,3,8,6]=>[2,1,3,2]=>11
[1,2,4,5,8,3,7,6]=>[2,5,1]=>9
[7,2,3,5,4,1,8,6]=>[3,2,1,2]=>14
[2,8,3,5,4,1,7,6]=>[3,2,2,1]=>15
[4,2,6,3,8,1,7,5]=>[2,2,3,1]=>13
[7,8,2,3,4,1,6,5]=>[5,2,1]=>12
[7,8,1,4,6,3,2,5]=>[4,2,2]=>10
[3,1,6,4,7,8,2,5]=>[2,2,4]=>6
[1,8,5,7,4,3,2,6]=>[1,1,3,1,2]=>14
[7,1,5,8,4,3,2,6]=>[2,3,1,2]=>13
[5,1,8,7,4,3,2,6]=>[2,1,2,1,2]=>16
[6,5,1,8,4,3,2,7]=>[1,2,2,1,2]=>15
[6,5,7,1,4,3,2,8]=>[1,4,1,2]=>12
[7,5,8,1,4,3,2,6]=>[1,4,1,2]=>12
[5,8,7,1,4,3,2,6]=>[2,3,1,2]=>13
[1,5,7,8,4,3,2,6]=>[1,4,1,2]=>12
[2,4,7,5,1,3,8,6]=>[3,3,2]=>9
[7,8,4,6,1,3,2,5]=>[2,4,2]=>8
[7,8,5,4,1,3,2,6]=>[2,2,2,2]=>12
[3,5,6,4,1,8,2,7]=>[4,1,3]=>9
[2,6,4,5,1,3,8,7]=>[2,4,2]=>8
[1,6,5,8,4,3,2,7]=>[1,1,3,1,2]=>14
[6,8,5,1,4,3,2,7]=>[2,3,1,2]=>13
[7,6,5,1,4,3,2,8]=>[1,1,3,1,2]=>14
[9,8,1,2,3,4,5,6,7]=>[1,8]=>1
[9,6,7,8,1,2,3,4,5]=>[1,8]=>1
[9,5,6,7,8,1,2,3,4]=>[1,8]=>1
[10,8,9,1,2,3,4,5,6,7]=>[1,9]=>1
[10,7,8,9,1,2,3,4,5,6]=>[1,9]=>1
[10,6,7,8,9,1,2,3,4,5]=>[1,9]=>1
[10,9,7,8,5,6,1,2,3,4]=>[1,1,4,4]=>9
[10,9,8,7,6,4,5,1,2,3]=>[1,1,1,1,3,3]=>17
[10,9,8,7,6,5,4,3,1,2]=>[1,1,1,1,2,1,1,2]=>31
[3,4,6,2,7,1,5,8]=>[4,4]=>4
[3,6,2,5,4,1,7,8]=>[3,2,3]=>8
[3,2,7,5,4,1,6,8]=>[2,1,2,3]=>10
[4,3,6,2,8,1,5,7]=>[1,3,4]=>5
[6,1,2,5,4,7,8,3]=>[3,2,3]=>8
[6,2,4,5,1,3,7,8]=>[2,6]=>2
[4,2,8,5,1,3,7,6]=>[2,1,4,1]=>12
[4,3,6,8,1,7,2,5]=>[1,4,3]=>6
[5,3,6,4,1,7,2,8]=>[1,3,1,3]=>10
[6,2,1,5,8,3,7,4]=>[2,1,4,1]=>12
[1,6,7,4,8,3,5,2]=>[1,3,3,1]=>12
[1,4,6,3,7,5,8,2]=>[1,3,2,2]=>11
[4,6,7,2,5,8,1,3]=>[5,3]=>5
[2,4,6,1,7,5,3,8]=>[4,2,2]=>10
[2,7,5,4,1,6,3,8]=>[2,2,2,2]=>12
[7,5,4,6,2,8,1,3]=>[1,1,3,3]=>8
[1,7,5,4,3,8,6,2]=>[1,1,2,1,2,1]=>19
[1,4,6,3,5,8,7,2]=>[1,4,2,1]=>13
[1,5,8,4,3,6,7,2]=>[1,3,3,1]=>12
[5,4,6,2,7,8,1,3]=>[1,3,4]=>5
[2,5,4,1,6,7,3,8]=>[2,2,4]=>6
[5,6,3,2,7,1,4,8]=>[3,1,4]=>7
[5,6,3,2,7,1,8,4]=>[3,1,2,2]=>13
[8,5,6,3,2,7,1,4]=>[1,3,1,3]=>10
[5,4,6,2,8,1,7,3]=>[1,3,3,1]=>12
[2,4,1,7,8,5,3,6]=>[3,3,2]=>9
[2,5,4,1,6,3,8,7]=>[2,2,2,2]=>12
[5,6,3,2,1,8,4,7]=>[3,1,1,3]=>12
[3,5,2,1,6,4,7,8]=>[3,1,4]=>7
[6,8,4,3,2,1,5,7]=>[2,2,1,3]=>11
[5,3,8,2,1,6,4,7]=>[1,3,2,2]=>11
[3,7,5,8,2,1,4,6]=>[2,3,3]=>7
[7,3,2,8,5,1,6,4]=>[1,2,2,2,1]=>16
[8,4,6,3,2,1,7,5]=>[1,3,1,2,1]=>17
[8,6,4,3,2,1,7,5]=>[1,1,2,1,2,1]=>19
[7,6,4,3,2,1,8,5]=>[1,1,2,1,1,2]=>18
[7,8,4,3,2,1,6,5]=>[2,2,1,2,1]=>18
[5,4,7,2,1,8,6,3]=>[1,3,1,2,1]=>17
[7,5,8,3,2,6,1,4]=>[1,3,2,2]=>11
[5,7,3,2,1,6,8,4]=>[3,1,2,2]=>13
[5,7,3,2,1,6,4,8]=>[3,1,2,2]=>13
[6,3,7,2,5,1,8,4]=>[1,4,1,2]=>12
[6,7,8,3,5,2,1,4]=>[5,1,2]=>11
[6,2,5,7,8,4,1,3]=>[2,4,2]=>8
[2,1,5,7,8,6,3,4]=>[2,4,2]=>8
[3,6,7,2,8,1,4,5]=>[4,4]=>4
[6,3,7,2,8,1,4,5]=>[1,3,4]=>5
[3,2,6,1,7,4,5,8]=>[2,2,4]=>6
[3,5,2,1,4,7,6,8]=>[3,2,3]=>8
[7,3,5,2,1,8,4,6]=>[1,3,1,3]=>10
[2,5,4,1,3,7,8,6]=>[2,3,3]=>7
[2,5,8,4,1,3,7,6]=>[4,3,1]=>11
[2,4,1,7,8,3,6,5]=>[3,4,1]=>10
[3,7,2,8,6,1,4,5]=>[3,1,4]=>7
[3,6,8,2,1,7,4,5]=>[4,1,3]=>9
[5,3,8,2,1,4,7,6]=>[1,3,3,1]=>12
[4,8,7,3,2,1,5,6]=>[2,2,1,3]=>11
[4,7,3,2,1,5,6,8]=>[3,1,4]=>7
[8,4,7,3,2,1,5,6]=>[1,3,1,3]=>10
[8,3,5,2,1,4,7,6]=>[1,3,3,1]=>12
[7,3,2,8,6,1,4,5]=>[1,2,1,4]=>8
[3,5,2,1,4,6,8,7]=>[3,3,2]=>9
[7,8,3,5,4,6,1,2]=>[3,3,2]=>9
[8,6,3,7,5,2,4,1]=>[1,2,2,2,1]=>16
[5,4,1,6,3,2,8,7]=>[1,2,2,1,2]=>15
[5,4,1,6,2,3,8,7]=>[1,2,3,2]=>10
[5,7,1,6,2,8,3,4]=>[3,2,3]=>8
[5,7,1,6,2,8,4,3]=>[3,2,2,1]=>15
[2,7,6,5,1,8,3,4]=>[2,1,2,3]=>10
[2,7,6,5,1,8,4,3]=>[2,1,2,2,1]=>17
[2,3,6,5,1,4,8,7]=>[3,3,2]=>9
[2,3,6,4,1,5,8,7]=>[4,2,2]=>10
[2,3,6,1,5,4,8,7]=>[5,1,2]=>11
[2,7,6,1,4,8,5,3]=>[2,3,2,1]=>14
[2,7,6,1,4,8,3,5]=>[2,3,3]=>7
[7,3,5,1,8,4,2,6]=>[1,3,2,2]=>11
[7,3,5,1,8,6,4,2]=>[1,3,2,1,1]=>18
[2,7,6,1,5,8,4,3]=>[2,3,2,1]=>14
[2,7,6,4,1,8,5,3]=>[2,2,1,2,1]=>18
[2,1,7,6,3,8,5,4]=>[2,1,2,2,1]=>17
[2,1,7,6,3,8,4,5]=>[2,1,2,3]=>10
[5,7,3,6,2,8,4,1]=>[3,2,2,1]=>15
[2,7,6,4,1,8,3,5]=>[2,2,1,3]=>11
[7,3,5,1,8,6,2,4]=>[1,3,2,2]=>11
[6,3,5,1,8,2,4,7]=>[1,3,4]=>5
[2,3,4,8,7,6,1,5]=>[4,2,2]=>10
[2,3,4,8,5,7,1,6]=>[5,3]=>5
[7,3,5,4,8,1,2,6]=>[1,3,4]=>5
[6,4,3,5,8,7,2,1]=>[1,2,2,2,1]=>16
[2,1,4,5,8,7,3,6]=>[2,3,3]=>7
[6,4,3,5,8,7,1,2]=>[1,2,2,3]=>9
[7,3,5,4,8,1,6,2]=>[1,3,3,1]=>12
[2,3,4,8,7,5,6,1]=>[4,3,1]=>11
[2,3,4,8,7,5,1,6]=>[4,2,2]=>10
[2,7,6,5,4,8,1,3]=>[2,1,2,3]=>10
[7,3,5,6,8,4,1,2]=>[1,5,2]=>7
[7,3,5,6,8,1,4,2]=>[1,6,1]=>8
[7,3,5,6,8,1,2,4]=>[1,7]=>1
[6,4,1,5,8,7,2,3]=>[1,2,2,3]=>9
[6,4,1,5,8,7,3,2]=>[1,2,2,2,1]=>16
[6,4,1,5,8,3,7,2]=>[1,2,4,1]=>11
[5,7,1,6,3,8,2,4]=>[3,2,3]=>8
[6,4,1,5,8,3,2,7]=>[1,2,3,2]=>10
[7,4,1,5,8,2,3,6]=>[1,2,5]=>4
[7,4,1,5,8,2,6,3]=>[1,2,4,1]=>11
[6,3,5,7,8,2,1,4]=>[1,5,2]=>7
[6,3,5,7,8,2,4,1]=>[1,6,1]=>8
[2,7,6,4,5,8,3,1]=>[2,3,2,1]=>14
[5,7,3,6,1,8,4,2]=>[3,2,2,1]=>15
[2,1,4,5,8,6,3,7]=>[2,4,2]=>8
[7,3,5,4,8,6,2,1]=>[1,3,2,1,1]=>18
[2,3,4,8,5,6,1,7]=>[6,2]=>6
[2,3,4,8,7,1,6,5]=>[4,3,1]=>11
[2,3,4,8,1,7,6,5]=>[5,2,1]=>12
[2,3,4,8,1,6,7,5]=>[7,1]=>7
[2,3,4,8,5,1,7,6]=>[5,2,1]=>12
[6,3,5,4,8,2,7,1]=>[1,3,3,1]=>12
[7,4,3,5,8,2,1,6]=>[1,2,3,2]=>10
[2,1,4,5,8,3,7,6]=>[2,5,1]=>9
[7,4,3,5,8,2,6,1]=>[1,2,4,1]=>11
[6,3,5,4,8,2,1,7]=>[1,3,2,2]=>11
[2,3,4,8,5,1,6,7]=>[5,3]=>5
[2,3,4,8,1,6,5,7]=>[6,2]=>6
[2,3,4,8,1,5,7,6]=>[7,1]=>7
[7,8,2,6,1,5,3,4]=>[3,3,2]=>9
[7,8,1,6,2,5,3,4]=>[3,3,2]=>9
[1,8,6,7,2,5,3,4]=>[1,1,4,2]=>9
[1,8,5,7,2,6,3,4]=>[1,1,4,2]=>9
[5,8,1,7,2,6,3,4]=>[3,3,2]=>9
[5,8,2,7,1,6,3,4]=>[3,3,2]=>9
[2,8,6,7,1,5,3,4]=>[2,4,2]=>8
[2,8,5,7,1,6,3,4]=>[2,4,2]=>8
[2,8,1,7,5,6,3,4]=>[3,3,2]=>9
[1,8,2,7,5,6,3,4]=>[1,2,3,2]=>10
[1,8,2,7,4,6,3,5]=>[1,2,3,2]=>10
[2,8,1,7,4,6,3,5]=>[3,3,2]=>9
[2,8,4,7,1,6,3,5]=>[2,4,2]=>8
[4,8,2,7,1,6,3,5]=>[3,3,2]=>9
[4,8,1,7,2,6,3,5]=>[3,3,2]=>9
[1,8,4,7,2,6,3,5]=>[1,1,4,2]=>9
[4,8,1,7,5,6,2,3]=>[3,3,2]=>9
[1,8,4,7,5,6,2,3]=>[1,1,4,2]=>9
[1,8,3,7,5,6,2,4]=>[1,2,3,2]=>10
[3,8,1,7,5,6,2,4]=>[3,3,2]=>9
[3,8,1,7,4,6,2,5]=>[3,3,2]=>9
[1,8,3,7,4,6,2,5]=>[1,2,3,2]=>10
[1,8,3,7,2,6,4,5]=>[1,2,3,2]=>10
[3,8,1,7,2,6,4,5]=>[3,3,2]=>9
[3,8,2,7,1,6,4,5]=>[3,3,2]=>9
[3,8,2,7,4,6,1,5]=>[3,3,2]=>9
[3,8,2,7,5,6,1,4]=>[3,3,2]=>9
[4,8,2,7,5,6,1,3]=>[3,3,2]=>9
[4,8,3,7,5,6,1,2]=>[3,3,2]=>9
[3,8,4,7,5,6,1,2]=>[2,4,2]=>8
[2,8,4,7,5,6,1,3]=>[2,4,2]=>8
[2,8,3,7,5,6,1,4]=>[3,3,2]=>9
[2,8,3,7,4,6,1,5]=>[3,3,2]=>9
[2,8,3,7,1,6,4,5]=>[3,3,2]=>9
[2,8,1,7,3,6,4,5]=>[3,3,2]=>9
[7,5,2,8,6,4,1,3]=>[1,2,1,2,2]=>14
[7,5,1,8,6,2,3,4]=>[1,2,1,4]=>8
[7,4,8,6,1,5,2,3]=>[1,2,3,2]=>10
[7,1,8,4,5,2,6,3]=>[2,3,2,1]=>14
[6,8,1,7,4,2,5,3]=>[3,2,2,1]=>15
[1,6,7,4,2,8,5,3]=>[1,3,1,2,1]=>17
[1,6,7,3,8,5,2,4]=>[1,3,2,2]=>11
[7,1,8,3,5,6,2,4]=>[2,4,2]=>8
[7,3,8,6,2,5,1,4]=>[1,2,3,2]=>10
[7,4,2,8,6,1,3,5]=>[1,2,1,4]=>8
[7,3,1,8,4,2,5,6]=>[1,2,2,3]=>9
[7,2,8,4,1,5,3,6]=>[2,2,2,2]=>12
[7,2,8,3,5,1,6,4]=>[2,3,2,1]=>14
[7,2,8,3,4,6,1,5]=>[2,4,2]=>8
[1,5,7,8,2,6,3,4]=>[1,5,2]=>7
[6,2,3,8,5,7,4,1]=>[3,2,2,1]=>15
[6,2,4,8,5,3,1,7]=>[2,3,1,2]=>13
[6,3,1,4,8,5,2,7]=>[1,3,2,2]=>11
[2,6,3,7,8,5,4,1]=>[3,3,1,1]=>16
[2,6,3,7,8,4,5,1]=>[3,4,1]=>10
[2,4,7,3,5,6,8,1]=>[6,2]=>6
[2,4,7,3,6,8,5,1]=>[4,3,1]=>11
[2,5,3,7,8,1,6,4]=>[3,4,1]=>10
[3,1,5,4,7,8,2,6]=>[2,2,4]=>6
[5,3,1,4,8,2,6,7]=>[1,3,4]=>5
[5,2,4,8,6,1,3,7]=>[2,2,4]=>6
[5,2,3,8,4,6,7,1]=>[3,4,1]=>10
[4,8,2,3,6,1,7,5]=>[4,3,1]=>11
[4,8,2,3,5,7,1,6]=>[5,3]=>5
[1,4,7,8,3,6,2,5]=>[1,5,2]=>7
[4,8,1,3,6,7,2,5]=>[4,4]=>4
[5,3,8,2,4,7,1,6]=>[1,4,3]=>6
[5,4,3,8,1,2,7,6]=>[1,2,4,1]=>11
[6,4,2,8,1,3,7,5]=>[1,2,4,1]=>11
[6,3,8,2,5,1,7,4]=>[1,4,2,1]=>13
[6,3,8,1,4,7,2,5]=>[1,4,3]=>6
[5,8,1,3,6,2,7,4]=>[4,3,1]=>11
[1,5,7,4,2,6,8,3]=>[1,3,2,2]=>11
[5,8,1,4,2,6,3,7]=>[4,2,2]=>10
[5,8,4,1,2,7,6,3]=>[2,3,2,1]=>14
[6,5,1,2,8,7,3,4]=>[1,3,1,3]=>10
[6,5,3,1,4,2,8,7]=>[1,2,2,1,2]=>15
[5,3,1,6,4,2,7,8]=>[1,2,2,3]=>9
[5,2,6,4,1,7,3,8]=>[2,2,1,3]=>11
[4,6,1,7,5,2,8,3]=>[3,2,1,2]=>14
[4,5,1,7,2,6,3,8]=>[3,3,2]=>9
[3,5,6,1,2,8,7,4]=>[5,2,1]=>12
[3,5,7,1,8,6,2,4]=>[4,2,2]=>10
[3,6,2,7,5,1,8,4]=>[3,2,1,2]=>14
[4,2,5,7,1,8,6,3]=>[2,3,2,1]=>14
[3,4,7,2,8,6,1,5]=>[4,2,2]=>10
[3,4,5,8,2,7,1,6]=>[5,3]=>5
[3,4,6,2,8,1,5,7]=>[4,4]=>4
[3,5,2,6,8,1,7,4]=>[3,4,1]=>10
[4,2,5,6,1,3,8,7]=>[2,4,2]=>8
[4,3,1,2,5,6,8,7]=>[1,5,2]=>7
[5,3,6,8,4,7,2,1]=>[1,4,2,1]=>13
[3,7,2,5,4,8,6,1]=>[3,2,2,1]=>15
[8,4,2,5,7,3,6,1]=>[1,2,4,1]=>11
[4,7,2,5,8,3,6,1]=>[3,4,1]=>10
[5,2,6,8,4,3,7,1]=>[2,3,2,1]=>14
[3,1,6,5,4,8,2,7]=>[2,1,2,3]=>10
[4,1,6,5,8,3,2,7]=>[2,1,3,2]=>11
[5,1,6,8,4,3,2,7]=>[2,3,1,2]=>13
[8,5,4,7,6,3,2,1]=>[1,1,2,2,1,1]=>20
[5,7,1,8,4,3,2,6]=>[3,2,1,2]=>14
[2,7,1,5,4,3,8,6]=>[3,2,1,2]=>14
[8,2,1,5,4,3,7,6]=>[2,1,2,2,1]=>17
[8,4,1,5,7,3,2,6]=>[1,2,3,2]=>10
[8,5,6,7,1,3,2,4]=>[1,5,2]=>7
[8,4,6,1,7,3,2,5]=>[1,3,2,2]=>11
[8,3,6,1,4,7,2,5]=>[1,4,3]=>6
[2,7,6,1,4,3,8,5]=>[2,3,1,2]=>13
[6,7,8,5,1,3,2,4]=>[3,3,2]=>9
[5,7,6,8,2,3,4,1]=>[2,5,1]=>9
[5,7,2,8,4,3,6,1]=>[3,2,2,1]=>15
[6,7,8,2,4,3,5,1]=>[5,2,1]=>12
[4,7,6,2,8,3,5,1]=>[2,2,3,1]=>13
[8,3,6,2,4,7,5,1]=>[1,4,2,1]=>13
[3,7,6,2,4,8,5,1]=>[2,3,2,1]=>14
[5,7,3,8,4,6,2,1]=>[3,3,1,1]=>16
[4,7,3,5,8,6,2,1]=>[3,3,1,1]=>16
[8,7,2,1,4,3,6,5]=>[1,2,2,2,1]=>16
[8,7,3,1,4,6,2,5]=>[1,2,3,2]=>10
[8,7,6,3,2,5,4,1]=>[1,1,2,2,1,1]=>20
[8,7,3,5,1,6,2,4]=>[1,2,3,2]=>10
[8,7,2,5,1,3,6,4]=>[1,2,4,1]=>11
[8,2,6,5,1,3,7,4]=>[2,1,4,1]=>12
[8,4,6,5,7,1,2,3]=>[1,2,5]=>4
[5,7,6,8,4,1,2,3]=>[2,3,3]=>7
[4,7,6,5,8,1,2,3]=>[2,1,5]=>5
[3,7,6,5,1,8,2,4]=>[2,1,2,3]=>10
[1,9,2,3,4,5,6,7,8]=>[1,8]=>1
[1,8,9,2,3,4,5,6,7]=>[1,8]=>1
[1,10,2,3,4,5,6,7,8,9]=>[1,9]=>1
[1,7,9,2,3,4,5,6,8]=>[1,8]=>1
[1,9,10,2,3,4,5,6,7,8]=>[1,9]=>1
[1,11,2,3,4,5,6,7,8,9,10]=>[1,10]=>1
[3,6,4,8,7,5,1,2]=>[2,2,2,2]=>12
[5,6,4,3,8,7,1,2]=>[2,2,1,3]=>11
[1,6,2,4,7,8,5,3]=>[1,3,3,1]=>12
[3,6,2,4,8,1,5,7]=>[4,4]=>4
[3,4,7,2,8,1,6,5]=>[4,3,1]=>11
[1,4,7,2,5,8,6,3]=>[1,4,2,1]=>13
[7,3,8,4,5,6,1,2]=>[1,5,2]=>7
[3,5,6,4,8,7,1,2]=>[4,1,3]=>9
[4,6,8,5,3,7,1,2]=>[3,2,3]=>8
[6,8,5,3,4,7,1,2]=>[2,3,3]=>7
[1,6,5,4,2,8,7,3]=>[1,1,2,1,2,1]=>19
[1,8,5,2,7,3,6,4]=>[1,1,2,3,1]=>14
[4,2,7,5,1,8,6,3]=>[2,1,2,2,1]=>17
[7,8,1,4,2,6,5,3]=>[4,2,1,1]=>17
[1,3,6,4,8,2,5,7]=>[1,3,4]=>5
[4,1,7,5,3,2,6,8]=>[2,1,2,3]=>10
[6,5,1,3,4,2,8,7]=>[1,4,1,2]=>12
[4,8,5,3,1,7,2,6]=>[2,2,1,3]=>11
[7,4,5,3,2,8,1,6]=>[1,3,1,3]=>10
[5,8,3,6,1,4,2,7]=>[3,3,2]=>9
[2,5,8,6,4,1,3,7]=>[3,2,3]=>8
[1,4,6,2,5,8,3,7]=>[1,4,3]=>6
[3,6,2,5,8,1,7,4]=>[3,4,1]=>10
[1,6,8,7,4,2,3,5]=>[1,2,2,3]=>9
[6,1,7,8,2,4,3,5]=>[2,4,2]=>8
[7,1,8,6,3,4,2,5]=>[2,1,3,2]=>11
[7,2,1,4,5,6,8,3]=>[2,4,2]=>8
[1,2,8,3,6,5,7,4]=>[2,2,3,1]=>13
[6,1,3,2,7,5,8,4]=>[3,1,2,2]=>13
[1,6,3,8,5,7,2,4]=>[1,2,2,3]=>9
[2,6,4,1,7,5,8,3]=>[2,2,2,2]=>12
[7,6,5,8,1,4,2,3]=>[1,1,4,2]=>9
[5,8,6,7,3,2,1,4]=>[2,3,1,2]=>13
[1,6,4,3,7,2,8,5]=>[1,1,2,2,2]=>13
[2,6,3,4,8,7,1,5]=>[4,1,3]=>9
[7,1,3,4,5,2,8,6]=>[5,1,2]=>11
[1,8,3,5,4,2,7,6]=>[1,2,2,2,1]=>16
[4,1,6,3,8,2,7,5]=>[2,2,3,1]=>13
[7,8,2,4,6,3,1,5]=>[4,2,2]=>10
[3,2,6,4,7,8,1,5]=>[2,2,4]=>6
[2,8,5,7,4,3,1,6]=>[2,3,1,2]=>13
[7,2,5,8,3,4,1,6]=>[2,4,2]=>8
[5,3,8,7,1,2,6,4]=>[1,2,4,1]=>11
[6,5,3,8,2,1,7,4]=>[1,2,2,2,1]=>16
[7,5,8,4,1,2,3,6]=>[1,3,4]=>5
[5,8,7,4,1,3,2,6]=>[2,2,2,2]=>12
[3,5,7,8,4,1,2,6]=>[5,3]=>5
[1,4,7,5,3,8,2,6]=>[1,2,2,3]=>9
[2,4,6,7,3,1,8,5]=>[5,1,2]=>11
[7,8,4,6,3,1,2,5]=>[2,3,3]=>7
[2,6,4,5,3,8,1,7]=>[2,3,3]=>7
[3,6,5,8,4,2,1,7]=>[2,3,1,2]=>13
[5,6,8,4,2,3,1,7]=>[4,2,2]=>10
[6,8,5,4,3,1,2,7]=>[2,2,1,3]=>11
[6,1,4,2,8,5,7,3]=>[2,2,3,1]=>13
[4,8,6,5,3,2,7,1]=>[2,1,2,2,1]=>17
[8,6,5,1,2,4,7,3]=>[1,1,5,1]=>10
[6,7,5,8,2,1,4,3]=>[2,3,2,1]=>14
[1,7,5,8,2,6,4,3]=>[1,1,4,1,1]=>16
[1,3,8,5,7,6,2,4]=>[1,2,3,2]=>10
[6,3,8,5,7,1,2,4]=>[1,2,5]=>4
[8,3,1,5,6,2,7,4]=>[1,2,4,1]=>11
[6,8,5,2,1,4,7,3]=>[2,2,3,1]=>13
[3,8,2,5,6,1,7,4]=>[3,4,1]=>10
[2,8,1,5,6,3,7,4]=>[3,4,1]=>10
[8,1,2,5,6,3,7,4]=>[3,4,1]=>10
[1,8,2,5,7,6,3,4]=>[1,2,3,2]=>10
[5,1,8,6,2,7,3,4]=>[2,1,2,3]=>10
[2,5,8,6,1,7,3,4]=>[3,2,3]=>8
[8,6,1,5,7,2,3,4]=>[1,2,5]=>4
[3,8,6,5,7,1,2,4]=>[2,1,5]=>5
[7,6,5,8,1,2,4,3]=>[1,1,5,1]=>10
[5,1,7,6,8,4,2,3]=>[2,1,3,2]=>11
[5,1,3,7,8,6,2,4]=>[3,3,2]=>9
[7,2,5,8,1,6,4,3]=>[2,4,1,1]=>15
[3,2,8,5,7,6,1,4]=>[2,1,3,2]=>11
[8,2,1,5,7,6,3,4]=>[2,1,3,2]=>11
[5,2,8,6,1,7,3,4]=>[2,1,2,3]=>10
[1,2,8,6,5,7,3,4]=>[2,1,2,3]=>10
[4,2,1,3,6,7,8,5]=>[2,2,4]=>6
[8,2,5,6,3,7,1,4]=>[2,3,3]=>7
[7,2,6,5,4,1,8,3]=>[2,1,2,1,2]=>16
[6,1,3,5,4,7,8,2]=>[3,2,3]=>8
[6,1,5,3,4,7,8,2]=>[2,3,3]=>7
[7,5,6,2,4,1,8,3]=>[1,4,1,2]=>12
[8,5,2,6,3,7,1,4]=>[1,2,2,3]=>9
[4,3,1,2,6,7,8,5]=>[1,3,4]=>5
[8,1,6,5,7,3,2,4]=>[2,1,3,2]=>11
[3,5,8,6,2,7,1,4]=>[3,2,3]=>8
[5,8,1,6,3,7,2,4]=>[3,2,3]=>8
[1,8,5,6,3,7,2,4]=>[1,1,3,3]=>8
[1,7,6,5,4,2,8,3]=>[1,1,1,2,1,2]=>17
[5,7,6,1,4,2,8,3]=>[2,3,1,2]=>13
[7,1,4,2,6,5,8,3]=>[2,2,2,2]=>12
[4,1,7,3,5,6,8,2]=>[2,4,2]=>8
[2,7,4,1,5,6,8,3]=>[2,4,2]=>8
[5,7,6,4,1,2,8,3]=>[2,2,2,2]=>12
[4,7,6,1,5,2,8,3]=>[2,3,1,2]=>13
[1,7,6,4,5,2,8,3]=>[1,1,3,1,2]=>14
[1,8,3,6,5,7,2,4]=>[1,2,2,3]=>9
[3,8,1,6,5,7,2,4]=>[3,2,3]=>8
[8,1,3,5,7,6,2,4]=>[3,3,2]=>9
[7,8,5,4,1,6,2,3]=>[2,2,2,2]=>12
[6,1,5,4,3,7,8,2]=>[2,2,1,3]=>11
[7,5,6,4,2,1,8,3]=>[1,3,1,1,2]=>16
[8,3,2,6,5,7,1,4]=>[1,2,2,3]=>9
[7,4,6,2,5,1,8,3]=>[1,4,1,2]=>12
[6,1,4,3,5,7,8,2]=>[2,3,3]=>7
[6,1,3,4,5,7,8,2]=>[5,3]=>5
[7,2,6,4,5,1,8,3]=>[2,3,1,2]=>13
[8,2,3,6,5,7,1,4]=>[3,2,3]=>8
[5,4,7,3,6,8,1,2]=>[1,3,4]=>5
[3,4,7,8,5,6,1,2]=>[6,2]=>6
[3,4,7,2,5,1,6,8]=>[5,3]=>5
[1,4,7,2,5,8,3,6]=>[1,4,3]=>6
[3,6,2,4,7,1,5,8]=>[4,4]=>4
[6,8,3,4,5,7,1,2]=>[5,3]=>5
[4,3,6,7,5,8,1,2]=>[1,4,3]=>6
[6,3,7,5,8,4,1,2]=>[1,2,3,2]=>10
[7,3,8,6,4,5,1,2]=>[1,2,3,2]=>10
[3,2,7,6,5,1,4,8]=>[2,1,2,3]=>10
[1,2,7,6,5,8,3,4]=>[2,1,2,3]=>10
[4,8,2,6,1,5,3,7]=>[3,3,2]=>9
[2,3,8,6,4,1,5,7]=>[3,2,3]=>8
[4,3,6,2,5,1,8,7]=>[1,4,1,2]=>12
[7,8,3,2,5,1,4,6]=>[3,2,3]=>8
[7,8,1,2,5,6,3,4]=>[6,2]=>6
[4,1,6,2,5,7,3,8]=>[2,3,3]=>7
[6,1,2,5,8,7,3,4]=>[3,2,3]=>8
[2,1,8,6,4,7,3,5]=>[2,1,2,3]=>10
[7,1,3,6,8,4,2,5]=>[3,3,2]=>9
[1,8,3,6,7,4,5,2]=>[1,2,4,1]=>11
[7,1,5,8,3,6,2,4]=>[2,4,2]=>8
[5,1,8,7,2,3,6,4]=>[2,1,4,1]=>12
[6,1,5,7,4,2,8,3]=>[2,3,1,2]=>13
[3,1,6,4,7,2,5,8]=>[2,2,4]=>6
[2,4,7,5,1,8,3,6]=>[3,2,3]=>8
[6,5,7,1,4,2,3,8]=>[1,4,3]=>6
[5,6,8,1,3,2,4,7]=>[5,3]=>5
[6,8,5,1,3,4,2,7]=>[2,4,2]=>8
[2,8,3,4,5,1,7,6]=>[5,2,1]=>12
[6,2,4,3,1,5,7,8]=>[2,2,4]=>6
[4,2,8,3,1,7,5,6]=>[2,2,1,3]=>11
[1,3,7,4,8,2,5,6]=>[1,3,4]=>5
[5,3,7,4,1,6,2,8]=>[1,3,2,2]=>11
[2,4,7,3,6,1,8,5]=>[4,2,2]=>10
[5,8,7,6,3,1,2,4]=>[2,1,2,3]=>10
[7,5,6,8,1,4,3,2]=>[1,5,1,1]=>14
[2,4,7,1,6,5,3,8]=>[4,2,2]=>10
[1,2,7,8,5,4,3,6]=>[2,3,1,2]=>13
[6,3,1,2,8,4,5,7]=>[1,3,4]=>5
[4,2,1,3,6,5,8,7]=>[2,2,2,2]=>12
[2,8,1,4,5,6,3,7]=>[6,2]=>6
[7,2,1,5,4,6,3,8]=>[2,1,3,2]=>11
[4,2,6,1,8,5,3,7]=>[2,2,2,2]=>12
[7,8,2,1,4,5,3,6]=>[3,3,2]=>9
[7,8,4,1,5,3,6,2]=>[2,3,2,1]=>14
[3,4,6,1,5,8,7,2]=>[5,2,1]=>12
[7,5,1,6,4,3,8,2]=>[1,2,2,1,2]=>15
[5,8,1,6,3,4,7,2]=>[3,4,1]=>10
[6,5,1,8,2,7,4,3]=>[1,2,2,2,1]=>16
[6,8,1,7,5,2,3,4]=>[3,2,3]=>8
[7,6,1,8,5,3,2,4]=>[1,2,2,1,2]=>15
[5,6,1,7,4,8,2,3]=>[3,2,3]=>8
[3,6,1,5,7,4,2,8]=>[3,3,2]=>9
[2,5,6,1,7,4,8,3]=>[4,2,2]=>10
[3,1,7,5,6,4,8,2]=>[2,1,3,2]=>11
[5,1,7,6,4,8,3,2]=>[2,1,2,2,1]=>17
[6,1,7,8,5,3,4,2]=>[2,3,2,1]=>14
[7,1,8,6,5,4,2,3]=>[2,1,2,1,2]=>16
[2,6,5,7,3,4,8,1]=>[2,4,2]=>8
[1,6,4,7,5,8,2,3]=>[1,1,3,3]=>8
[8,5,3,6,2,7,4,1]=>[1,2,2,2,1]=>16
[1,3,7,4,6,8,2,5]=>[1,3,4]=>5
[4,7,5,6,3,2,8,1]=>[2,3,1,2]=>13
[1,7,6,5,4,8,2,3]=>[1,1,1,2,3]=>11
[8,1,6,5,7,2,4,3]=>[2,1,4,1]=>12
[1,2,7,6,8,3,4,5]=>[2,1,5]=>5
[6,1,7,5,3,8,2,4]=>[2,1,2,3]=>10
[2,1,7,5,6,8,3,4]=>[2,1,5]=>5
[5,4,1,7,6,8,2,3]=>[1,2,1,4]=>8
[4,8,5,6,2,7,3,1]=>[2,3,2,1]=>14
[3,8,6,4,2,7,5,1]=>[2,2,1,2,1]=>18
[7,8,5,2,4,6,3,1]=>[2,4,1,1]=>15
[2,8,6,3,7,4,5,1]=>[2,2,3,1]=>13
[7,8,1,6,2,4,5,3]=>[3,4,1]=>10
[6,8,1,4,7,2,5,3]=>[4,3,1]=>11
[3,8,4,1,7,2,6,5]=>[2,2,3,1]=>13
[5,4,7,1,8,3,2,6]=>[1,3,2,2]=>11
[3,7,4,1,8,5,2,6]=>[2,2,2,2]=>12
[6,7,1,4,8,3,2,5]=>[4,2,2]=>10
[2,7,1,8,4,5,3,6]=>[3,3,2]=>9
[6,1,2,8,4,3,5,7]=>[3,2,3]=>8
[6,5,1,4,3,8,2,7]=>[1,3,1,3]=>10
[1,6,2,5,8,3,4,7]=>[1,2,5]=>4
[8,5,1,3,7,2,6,4]=>[1,3,3,1]=>12
[8,4,2,1,7,3,6,5]=>[1,2,1,3,1]=>15
[7,4,2,1,8,5,3,6]=>[1,2,1,2,2]=>14
[1,5,4,2,8,3,6,7]=>[1,1,2,4]=>7
[6,4,3,1,5,8,2,7]=>[1,2,2,3]=>9
[3,7,6,8,4,5,2,1]=>[2,4,1,1]=>15
[2,7,6,8,5,3,4,1]=>[2,3,2,1]=>14
[1,7,6,8,5,4,2,3]=>[1,1,3,1,2]=>14
[1,4,8,6,7,5,2,3]=>[1,2,3,2]=>10
[2,4,8,6,7,3,5,1]=>[3,4,1]=>10
[7,3,8,5,4,6,2,1]=>[1,2,3,1,1]=>17
[3,4,8,5,6,7,2,1]=>[3,4,1]=>10
[6,3,5,8,4,7,2,1]=>[1,4,2,1]=>13
[5,4,3,8,6,7,2,1]=>[1,2,1,3,1]=>15
[5,4,2,8,7,3,6,1]=>[1,2,1,3,1]=>15
[6,2,5,8,7,3,4,1]=>[2,2,3,1]=>13
[3,2,8,5,7,4,6,1]=>[2,1,4,1]=>12
[1,3,8,7,5,6,2,4]=>[1,2,3,2]=>10
[2,1,8,7,4,6,3,5]=>[2,1,3,2]=>11
[3,1,8,5,7,6,2,4]=>[2,1,3,2]=>11
[6,1,5,8,7,4,2,3]=>[2,2,2,2]=>12
[5,4,1,8,7,6,2,3]=>[1,2,1,2,2]=>14
[5,8,6,7,4,3,2,1]=>[2,3,1,1,1]=>20
[4,8,7,5,6,3,2,1]=>[2,1,3,1,1]=>18
[4,2,1,6,3,5,8,7]=>[2,1,3,2]=>11
[6,2,1,4,3,5,8,7]=>[2,2,2,2]=>12
[6,2,1,4,3,8,5,7]=>[2,2,1,3]=>11
[8,2,1,4,3,6,5,7]=>[2,2,2,2]=>12
[8,2,4,1,3,6,5,7]=>[2,4,2]=>8
[6,2,4,1,3,8,5,7]=>[2,3,3]=>7
[6,2,4,1,3,5,8,7]=>[2,4,2]=>8
[4,2,6,1,3,5,8,7]=>[2,4,2]=>8
[2,1,6,4,3,5,8,7]=>[2,2,2,2]=>12
[2,6,1,4,3,5,8,7]=>[4,2,2]=>10
[2,6,4,1,3,5,8,7]=>[2,4,2]=>8
[4,6,2,1,3,5,8,7]=>[3,3,2]=>9
[6,4,2,1,3,5,8,7]=>[1,2,3,2]=>10
[8,4,2,1,3,6,5,7]=>[1,2,3,2]=>10
[8,4,2,1,6,3,5,7]=>[1,2,1,4]=>8
[6,4,2,1,8,3,5,7]=>[1,2,1,4]=>8
[4,6,2,1,8,3,5,7]=>[3,1,4]=>7
[2,6,1,4,3,8,5,7]=>[4,1,3]=>9
[2,1,6,4,3,8,5,7]=>[2,2,1,3]=>11
[2,1,8,4,3,6,5,7]=>[2,2,2,2]=>12
[2,8,1,4,3,6,5,7]=>[4,2,2]=>10
[2,8,4,1,3,6,5,7]=>[2,4,2]=>8
[4,8,2,1,3,6,5,7]=>[3,3,2]=>9
[4,8,2,1,6,3,5,7]=>[3,1,4]=>7
[6,8,2,1,4,3,5,7]=>[3,2,3]=>8
[8,6,2,1,4,3,5,7]=>[1,2,2,3]=>9
[2,8,1,4,6,3,5,7]=>[4,4]=>4
[2,1,8,4,6,3,5,7]=>[2,2,4]=>6
[2,1,6,4,8,3,5,7]=>[2,2,4]=>6
[2,6,1,4,8,3,5,7]=>[4,4]=>4
[2,6,4,1,8,3,5,7]=>[2,2,4]=>6
[2,6,4,8,1,3,5,7]=>[2,6]=>2
[4,6,2,8,1,3,5,7]=>[3,5]=>3
[4,2,6,1,3,8,5,7]=>[2,3,3]=>7
[4,2,6,1,8,3,5,7]=>[2,2,4]=>6
[6,2,4,1,8,3,5,7]=>[2,2,4]=>6
[8,2,4,1,6,3,5,7]=>[2,2,4]=>6
[8,2,1,4,6,3,5,7]=>[2,2,4]=>6
[6,2,1,4,8,3,5,7]=>[2,2,4]=>6
[4,2,1,6,8,3,5,7]=>[2,1,5]=>5
[4,2,1,6,3,8,5,7]=>[2,1,2,3]=>10
[4,2,1,3,6,8,5,7]=>[2,2,4]=>6
[2,1,4,3,8,6,5,7]=>[2,2,2,2]=>12
[2,4,1,3,8,6,5,7]=>[4,2,2]=>10
[4,2,1,3,8,6,5,7]=>[2,2,2,2]=>12
[4,2,1,8,3,6,5,7]=>[2,1,3,2]=>11
[4,2,1,8,6,3,5,7]=>[2,1,1,4]=>9
[6,2,1,8,4,3,5,7]=>[2,1,2,3]=>10
[8,2,1,6,4,3,5,7]=>[2,1,2,3]=>10
[8,2,6,1,4,3,5,7]=>[2,3,3]=>7
[6,2,8,1,4,3,5,7]=>[2,3,3]=>7
[4,2,8,1,6,3,5,7]=>[2,2,4]=>6
[4,2,8,1,3,6,5,7]=>[2,4,2]=>8
[2,4,8,1,3,6,5,7]=>[6,2]=>6
[2,4,1,8,3,6,5,7]=>[3,3,2]=>9
[2,1,4,8,3,6,5,7]=>[2,4,2]=>8
[2,1,4,8,6,3,5,7]=>[2,2,4]=>6
[2,4,8,1,6,3,5,7]=>[4,4]=>4
[2,4,8,6,1,3,5,7]=>[3,5]=>3
[4,2,8,6,1,3,5,7]=>[2,1,5]=>5
[6,2,8,4,1,3,5,7]=>[2,2,4]=>6
[8,2,6,4,1,3,5,7]=>[2,2,4]=>6
[8,4,6,2,1,3,5,7]=>[1,3,4]=>5
[6,4,8,2,1,3,5,7]=>[1,3,4]=>5
[4,6,8,2,1,3,5,7]=>[4,4]=>4
[2,6,8,4,1,3,5,7]=>[4,4]=>4
[2,6,8,1,4,3,5,7]=>[5,3]=>5
[2,6,1,8,4,3,5,7]=>[3,2,3]=>8
[2,1,6,8,4,3,5,7]=>[2,3,3]=>7
[2,1,8,6,4,3,5,7]=>[2,1,2,3]=>10
[2,8,1,6,4,3,5,7]=>[3,2,3]=>8
[2,8,6,4,1,3,5,7]=>[2,2,4]=>6
[4,8,6,2,1,3,5,7]=>[2,2,4]=>6
[6,8,4,2,1,3,5,7]=>[2,2,4]=>6
[3,2,6,1,5,4,8,7]=>[2,3,1,2]=>13
[5,2,4,3,8,1,7,6]=>[2,2,3,1]=>13
[6,2,4,1,5,3,8,7]=>[2,3,1,2]=>13
[4,3,6,1,5,2,8,7]=>[1,4,1,2]=>12
[4,3,5,2,8,1,7,6]=>[1,3,3,1]=>12
[4,3,7,2,6,5,8,1]=>[1,3,2,2]=>11
[4,3,8,2,6,1,7,5]=>[1,3,3,1]=>12
[4,3,8,1,7,2,6,5]=>[1,3,3,1]=>12
[4,3,8,1,5,2,7,6]=>[1,4,2,1]=>13
[5,1,8,3,4,2,7,6]=>[2,3,2,1]=>14
[5,4,8,1,3,2,7,6]=>[1,4,2,1]=>13
[2,1,5,4,8,3,7,6]=>[2,2,3,1]=>13
[5,1,7,6,8,3,4,2]=>[2,1,4,1]=>12
[4,3,7,6,8,1,5,2]=>[1,2,4,1]=>11
[4,3,7,1,8,5,6,2]=>[1,3,3,1]=>12
[4,3,6,5,8,1,7,2]=>[1,2,4,1]=>11
[6,3,5,4,7,2,8,1]=>[1,3,2,2]=>11
[6,3,5,4,8,1,7,2]=>[1,3,3,1]=>12
[7,1,6,3,8,4,5,2]=>[2,2,3,1]=>13
[7,4,6,5,8,1,3,2]=>[1,2,4,1]=>11
[2,1,8,4,6,3,7,5]=>[2,2,3,1]=>13
[8,4,6,1,3,2,7,5]=>[1,4,2,1]=>13
[8,1,6,3,4,2,7,5]=>[2,3,2,1]=>14
[8,1,6,3,7,2,5,4]=>[2,2,3,1]=>13
[8,3,5,1,7,2,6,4]=>[1,3,3,1]=>12
[8,3,5,2,6,1,7,4]=>[1,3,3,1]=>12
[7,3,5,2,6,4,8,1]=>[1,3,2,2]=>11
[8,2,6,3,5,1,7,4]=>[2,3,2,1]=>14
[8,2,7,1,5,3,6,4]=>[2,3,2,1]=>14
[8,2,4,1,5,3,7,6]=>[2,3,2,1]=>14
[8,2,4,1,7,3,6,5]=>[2,2,3,1]=>13
[8,2,4,3,6,1,7,5]=>[2,2,3,1]=>13
[3,2,8,4,6,1,7,5]=>[2,2,3,1]=>13
[3,2,8,1,5,4,7,6]=>[2,3,2,1]=>14
[3,2,7,6,8,1,5,4]=>[2,1,4,1]=>12
[3,2,7,1,8,5,6,4]=>[2,2,3,1]=>13
[3,2,6,5,8,1,7,4]=>[2,1,4,1]=>12
[6,5,7,2,4,3,8,1]=>[1,4,1,2]=>12
[6,5,8,2,4,1,7,3]=>[1,4,2,1]=>13
[7,2,4,1,8,5,6,3]=>[2,2,3,1]=>13
[7,6,8,2,4,1,5,3]=>[1,4,2,1]=>13
[7,6,8,1,5,2,4,3]=>[1,4,2,1]=>13
[2,1,7,3,8,5,6,4]=>[2,2,3,1]=>13
[7,1,3,2,8,5,6,4]=>[3,1,3,1]=>14
[7,1,8,5,6,2,4,3]=>[2,1,4,1]=>12
[7,1,8,2,6,4,5,3]=>[2,2,3,1]=>13
[7,2,8,1,5,4,6,3]=>[2,3,2,1]=>14
[6,2,7,4,5,3,8,1]=>[2,3,1,2]=>13
[5,4,7,2,6,3,8,1]=>[1,3,2,2]=>11
[5,4,8,2,6,1,7,3]=>[1,3,3,1]=>12
[6,5,8,1,7,2,4,3]=>[1,3,3,1]=>12
[2,1,6,5,8,3,7,4]=>[2,1,4,1]=>12
[6,5,7,4,8,1,3,2]=>[1,3,3,1]=>12
[6,5,7,1,8,3,4,2]=>[1,3,3,1]=>12
[6,1,7,4,8,3,5,2]=>[2,2,3,1]=>13
[5,4,7,1,8,3,6,2]=>[1,3,3,1]=>12
[5,4,6,3,8,1,7,2]=>[1,3,3,1]=>12
[2,1,4,3,7,9,6,10,8,5,12,11]=>[2,2,3,2,1,2]=>32
[2,1,4,3,7,10,6,11,12,9,8,5]=>[2,2,3,3,1,1]=>34
[3,4,2,1,6,5,9,10,8,7,12,11]=>[3,1,2,3,1,2]=>32
[3,4,2,1,6,5,10,11,12,9,8,7]=>[3,1,2,4,1,1]=>34
[3,5,2,6,4,1,8,7,10,9,12,11]=>[3,2,1,2,2,2]=>32
[3,5,2,7,4,9,6,10,8,1,12,11]=>[3,2,2,2,1,2]=>34
[3,5,2,7,4,10,6,11,12,9,8,1]=>[3,2,2,3,1,1]=>36
[3,6,2,7,8,5,4,1,10,9,12,11]=>[3,3,1,1,2,2]=>34
[3,6,2,8,9,5,10,7,4,1,12,11]=>[3,3,2,1,1,2]=>36
[3,6,2,8,10,5,11,7,12,9,4,1]=>[3,3,2,2,1,1]=>38
[4,5,6,3,2,1,9,10,8,7,12,11]=>[4,1,1,3,1,2]=>34
[4,5,6,3,2,1,10,11,12,9,8,7]=>[4,1,1,4,1,1]=>36
[4,6,7,3,9,5,2,10,8,1,12,11]=>[4,2,1,2,1,2]=>36
[4,6,7,3,10,5,2,11,12,9,8,1]=>[4,2,1,3,1,1]=>38
[4,7,8,3,9,10,6,5,2,1,12,11]=>[4,3,1,1,1,2]=>38
[4,7,8,3,10,11,6,5,12,9,2,1]=>[4,3,1,2,1,1]=>40
[4,8,9,3,10,11,12,7,6,5,2,1]=>[4,4,1,1,1,1]=>42
[2,8,3,1,5,4,6,7]=>[3,2,3]=>8
[2,5,3,4,7,1,8,6]=>[4,2,2]=>10
[2,4,8,3,5,7,6,1]=>[5,2,1]=>12
[4,2,5,3,1,8,6,7]=>[2,2,1,3]=>11
[4,2,1,8,5,3,6,7]=>[2,1,2,3]=>10
[5,4,1,3,8,2,6,7]=>[1,3,4]=>5
[5,1,4,8,3,2,6,7]=>[2,3,3]=>7
[1,5,8,4,3,2,6,7]=>[1,3,1,3]=>10
[1,8,5,4,3,2,6,7]=>[1,1,2,1,3]=>12
[1,7,4,3,8,5,2,6]=>[1,1,2,2,2]=>13
[1,5,7,3,8,4,2,6]=>[1,3,2,2]=>11
[5,1,4,7,8,3,2,6]=>[2,4,2]=>8
[4,8,1,5,7,3,6,2]=>[3,4,1]=>10
[8,1,5,3,7,4,6,2]=>[2,2,3,1]=>13
[3,8,4,7,6,5,2,1]=>[2,2,2,1,1]=>19
[1,6,8,5,3,7,4,2]=>[1,2,2,2,1]=>16
[6,8,1,7,4,3,5,2]=>[3,2,2,1]=>15
[6,4,8,1,7,3,5,2]=>[1,3,3,1]=>12
[6,4,8,7,1,5,2,3]=>[1,2,3,2]=>10
[7,6,4,1,3,8,2,5]=>[1,1,3,3]=>8
[1,7,5,6,3,2,8,4]=>[1,1,3,1,2]=>14
[4,2,1,7,8,5,3,6]=>[2,1,3,2]=>11
[2,7,4,6,3,1,8,5]=>[2,3,1,2]=>13
[2,6,8,4,3,7,5,1]=>[4,1,2,1]=>16
[6,2,4,8,3,7,5,1]=>[2,3,2,1]=>14
[7,2,6,3,4,1,8,5]=>[2,3,1,2]=>13
[2,6,7,3,1,4,8,5]=>[4,2,2]=>10
[2,7,1,8,3,5,4,6]=>[3,3,2]=>9
[2,1,7,3,5,8,4,6]=>[2,3,3]=>7
[8,7,1,3,6,2,4,5]=>[1,3,4]=>5
[8,2,1,7,3,5,6,4]=>[2,1,4,1]=>12
[7,8,2,6,3,1,5,4]=>[3,2,2,1]=>15
[8,7,2,6,3,5,4,1]=>[1,2,3,1,1]=>17
[1,2,8,7,4,5,6,3]=>[2,1,4,1]=>12
[8,3,7,1,5,6,2,4]=>[1,5,2]=>7
[8,6,1,2,7,5,3,4]=>[1,3,2,2]=>11
[8,1,6,2,7,4,5,3]=>[2,2,3,1]=>13
[1,8,5,2,6,7,4,3]=>[1,1,2,3,1]=>14
[5,2,1,8,6,7,4,3]=>[2,1,1,3,1]=>16
[2,8,5,7,6,4,3,1]=>[2,2,2,1,1]=>19
[1,7,8,5,2,6,4,3]=>[1,2,3,1,1]=>17
[7,8,1,6,4,2,5,3]=>[3,2,2,1]=>15
[7,8,6,1,5,3,2,4]=>[2,3,1,2]=>13
[7,3,8,6,1,5,2,4]=>[1,2,3,2]=>10
[8,7,6,1,5,3,4,2]=>[1,1,3,2,1]=>15
[8,7,1,6,4,5,3,2]=>[1,2,3,1,1]=>17
[8,1,7,5,6,4,3,2]=>[2,1,3,1,1]=>18
[1,8,6,7,5,4,3,2]=>[1,1,3,1,1,1]=>21
[6,3,5,2,1,4,8,7]=>[1,3,2,2]=>11
[6,3,5,7,2,8,4,1]=>[1,4,2,1]=>13
[8,5,2,7,4,3,1,6]=>[1,2,2,1,2]=>15
[4,5,3,6,1,2,8,7]=>[3,3,2]=>9
[3,5,1,4,6,2,8,7]=>[4,2,2]=>10
[8,3,4,5,7,2,1,6]=>[1,5,2]=>7
[5,7,4,6,3,8,2,1]=>[2,3,2,1]=>14
[2,8,4,6,3,7,1,5]=>[2,3,3]=>7
[8,1,4,7,3,6,2,5]=>[2,4,2]=>8
[8,3,4,7,5,1,2,6]=>[1,4,3]=>6
[8,5,1,4,7,3,2,6]=>[1,3,2,2]=>11
[8,5,3,7,1,4,2,6]=>[1,2,3,2]=>10
[2,1,8,5,7,4,3,6]=>[2,1,3,2]=>11
[6,5,3,7,1,8,4,2]=>[1,2,2,2,1]=>16
[6,5,1,4,7,8,3,2]=>[1,3,3,1]=>12
[6,3,4,7,5,8,1,2]=>[1,4,3]=>6
[5,1,4,6,8,3,7,2]=>[2,5,1]=>9
[4,7,1,3,5,8,6,2]=>[5,2,1]=>12
[4,8,3,7,1,2,6,5]=>[3,4,1]=>10
[3,8,6,4,1,7,2,5]=>[2,2,1,3]=>11
[3,8,1,2,5,7,6,4]=>[5,2,1]=>12
[2,8,7,5,4,1,3,6]=>[2,1,2,3]=>10
[8,7,2,6,4,1,3,5]=>[1,2,2,3]=>9
[3,8,6,7,4,2,1,5]=>[2,3,1,2]=>13
[5,7,6,8,4,2,3,1]=>[2,3,2,1]=>14
[5,3,7,8,2,4,6,1]=>[1,6,1]=>8
[8,3,6,2,1,4,7,5]=>[1,3,3,1]=>12
[5,3,7,6,2,1,8,4]=>[1,2,2,1,2]=>15
[5,3,6,2,8,7,1,4]=>[1,3,1,3]=>10
[5,7,8,6,4,2,1,3]=>[3,2,1,2]=>14
[2,6,7,5,4,8,1,3]=>[3,2,3]=>8
[6,1,7,4,5,8,2,3]=>[2,3,3]=>7
[6,7,3,5,1,8,2,4]=>[3,2,3]=>8
[2,1,6,7,5,8,3,4]=>[2,3,3]=>7
[2,1,5,7,3,6,8,4]=>[2,4,2]=>8
[5,7,3,6,1,2,8,4]=>[3,3,2]=>9
[4,1,7,2,5,6,8,3]=>[2,4,2]=>8
[2,4,7,1,6,5,8,3]=>[4,2,2]=>10
[4,6,2,1,8,7,5,3]=>[3,1,1,2,1]=>19
[3,4,6,2,7,8,5,1]=>[4,3,1]=>11
[4,6,1,2,5,8,7,3]=>[5,2,1]=>12
[5,6,1,4,8,2,7,3]=>[4,3,1]=>11
[5,6,3,1,8,7,2,4]=>[3,1,1,3]=>12
[3,5,6,4,7,1,8,2]=>[4,2,2]=>10
[3,4,6,1,5,7,8,2]=>[5,3]=>5
[3,4,1,5,7,6,8,2]=>[3,3,2]=>9
[3,8,2,7,1,6,5,4]=>[3,3,1,1]=>16
[3,8,2,7,6,1,5,4]=>[3,1,3,1]=>14
[3,8,2,7,6,5,1,4]=>[3,1,2,2]=>13
[3,8,2,7,6,5,4,1]=>[3,1,2,1,1]=>20
[4,8,7,2,6,5,3,1]=>[2,2,2,1,1]=>19
[4,8,7,2,6,5,1,3]=>[2,2,2,2]=>12
[4,8,7,2,6,1,5,3]=>[2,2,3,1]=>13
[4,8,7,2,1,6,5,3]=>[2,2,2,1,1]=>19
[4,8,7,3,1,6,5,2]=>[2,2,2,1,1]=>19
[4,8,7,3,2,1,6,5]=>[2,2,1,2,1]=>18
[4,8,7,3,2,6,1,5]=>[2,2,2,2]=>12
[4,8,7,3,2,6,5,1]=>[2,2,2,1,1]=>19
[4,8,7,3,6,2,5,1]=>[2,2,3,1]=>13
[4,8,7,3,6,2,1,5]=>[2,2,2,2]=>12
[4,8,7,3,6,1,5,2]=>[2,2,3,1]=>13
[4,8,7,3,6,5,1,2]=>[2,2,2,2]=>12
[4,8,7,3,6,5,2,1]=>[2,2,2,1,1]=>19
[5,8,7,6,3,4,2,1]=>[2,1,3,1,1]=>18
[5,8,7,6,3,1,4,2]=>[2,1,2,2,1]=>17
[5,8,7,6,3,2,4,1]=>[2,1,2,2,1]=>17
[5,8,7,6,2,4,3,1]=>[2,1,3,1,1]=>18
[5,8,7,6,2,1,4,3]=>[2,1,2,2,1]=>17
[5,8,7,6,4,2,3,1]=>[2,1,2,2,1]=>17
[5,8,7,6,4,2,1,3]=>[2,1,2,1,2]=>16
[5,8,7,6,4,1,3,2]=>[2,1,2,2,1]=>17
[5,8,7,6,4,3,1,2]=>[2,1,2,1,2]=>16
[7,3,4,2,1,6,5,8]=>[1,3,2,2]=>11
[7,3,5,2,6,1,4,8]=>[1,3,4]=>5
[7,3,5,2,6,4,1,8]=>[1,3,2,2]=>11
[6,3,5,2,7,4,8,1]=>[1,3,2,2]=>11
[7,2,1,5,6,4,3,8]=>[2,1,3,2]=>11
[7,3,5,1,6,4,2,8]=>[1,3,2,2]=>11
[7,4,5,6,1,3,2,8]=>[1,5,2]=>7
[1,4,5,7,3,2,8,6]=>[1,4,1,2]=>12
[1,4,6,7,3,8,2,5]=>[1,4,3]=>6
[6,4,5,7,3,1,8,2]=>[1,4,1,2]=>12
[6,4,5,7,1,3,8,2]=>[1,5,2]=>7
[6,3,5,1,7,4,8,2]=>[1,3,2,2]=>11
[6,2,1,5,7,4,8,3]=>[2,1,3,2]=>11
[3,2,1,5,7,4,8,6]=>[2,1,3,2]=>11
[2,4,6,7,3,8,1,5]=>[5,3]=>5
[1,4,6,7,3,8,5,2]=>[1,4,2,1]=>13
[1,5,6,7,8,3,4,2]=>[1,6,1]=>8
[2,5,6,7,8,3,1,4]=>[6,2]=>6
[3,2,1,6,7,8,4,5]=>[2,1,5]=>5
[5,2,1,6,7,8,4,3]=>[2,1,4,1]=>12
[5,3,6,1,7,8,4,2]=>[1,3,3,1]=>12
[5,4,6,7,1,8,3,2]=>[1,4,2,1]=>13
[1,5,6,7,8,3,2,4]=>[1,5,2]=>7
[6,4,5,7,2,1,8,3]=>[1,4,1,2]=>12
[5,4,6,7,2,8,3,1]=>[1,4,2,1]=>13
[5,3,6,2,7,8,4,1]=>[1,3,3,1]=>12
[5,3,6,2,7,8,1,4]=>[1,3,4]=>5
[6,3,5,2,7,1,8,4]=>[1,3,2,2]=>11
[6,3,4,2,1,7,8,5]=>[1,3,1,3]=>10
[5,3,4,1,2,7,8,6]=>[1,4,3]=>6
[4,3,6,2,7,8,1,5]=>[1,3,4]=>5
[4,3,6,2,7,8,5,1]=>[1,3,3,1]=>12
[1,3,6,2,7,8,5,4]=>[1,3,3,1]=>12
[1,4,6,7,2,8,5,3]=>[1,4,2,1]=>13
[3,4,6,7,2,8,5,1]=>[5,2,1]=>12
[3,4,5,7,2,1,8,6]=>[5,1,2]=>11
[4,2,1,5,7,3,8,6]=>[2,1,3,2]=>11
[4,2,1,6,7,8,3,5]=>[2,1,5]=>5
[4,3,6,1,7,8,2,5]=>[1,3,4]=>5
[1,5,6,7,8,2,4,3]=>[1,6,1]=>8
[1,5,6,7,8,4,2,3]=>[1,5,2]=>7
[3,4,6,7,1,8,5,2]=>[5,2,1]=>12
[4,3,6,1,7,8,5,2]=>[1,3,3,1]=>12
[4,2,1,6,7,8,5,3]=>[2,1,4,1]=>12
[2,3,6,1,7,8,5,4]=>[4,3,1]=>11
[2,4,6,7,1,8,5,3]=>[5,2,1]=>12
[2,5,6,7,8,1,4,3]=>[7,1]=>7
[2,4,1,6,3,5,8,7,10,9]=>[3,3,2,2]=>17
[2,4,1,6,3,8,5,10,7,9]=>[3,2,2,3]=>15
[2,4,1,6,3,8,5,9,7,10]=>[3,2,2,3]=>15
[2,4,1,6,3,7,5,9,8,10]=>[3,2,2,3]=>15
[2,4,1,5,3,7,6,9,8,10]=>[3,2,2,3]=>15
[2,3,1,5,4,7,6,9,8,10]=>[3,2,2,3]=>15
[1,4,3,6,2,5,7,8]=>[1,2,5]=>4
[1,4,3,7,2,5,6,8]=>[1,2,5]=>4
[1,4,3,7,6,8,2,5]=>[1,2,1,4]=>8
[1,4,3,7,5,8,2,6]=>[1,2,2,3]=>9
[1,4,3,7,2,6,5,8]=>[1,2,3,2]=>10
[1,5,3,7,4,8,2,6]=>[1,2,2,3]=>9
[1,3,2,6,5,8,4,7]=>[1,2,2,3]=>9
[1,5,4,8,2,6,3,7]=>[1,1,4,2]=>9
[1,5,4,8,3,7,2,6]=>[1,1,3,3]=>8
[1,2,3,6,5,8,4,7]=>[3,2,3]=>8
[6,8,2,4,5,7,1,3]=>[5,3]=>5
[3,7,8,4,5,2,6,1]=>[5,2,1]=>12
[7,8,1,4,5,3,6,2]=>[5,2,1]=>12
[3,8,7,4,1,6,5,2]=>[2,2,2,1,1]=>19
[4,8,3,6,1,5,7,2]=>[3,4,1]=>10
[5,8,3,1,6,4,7,2]=>[3,1,3,1]=>14
[5,8,1,4,7,6,3,2]=>[4,2,1,1]=>17
[7,5,1,8,6,2,4,3]=>[1,2,1,3,1]=>15
[7,4,1,8,2,6,3,5]=>[1,2,3,2]=>10
[7,1,8,4,2,6,3,5]=>[2,2,2,2]=>12
[1,6,3,8,5,2,4,7]=>[1,2,2,3]=>9
[6,1,3,8,5,2,4,7]=>[3,2,3]=>8
[7,1,8,3,6,2,5,4]=>[2,2,3,1]=>13
[7,3,1,8,4,2,6,5]=>[1,2,2,2,1]=>16
[7,2,8,4,1,6,5,3]=>[2,2,2,1,1]=>19
[7,2,8,3,6,5,1,4]=>[2,2,2,2]=>12
[7,2,8,3,6,1,5,4]=>[2,2,3,1]=>13
[7,1,8,2,3,6,5,4]=>[2,4,1,1]=>15
[6,1,2,8,3,5,4,7]=>[3,3,2]=>9
[1,5,2,3,8,4,7,6]=>[1,3,3,1]=>12
[5,1,2,3,8,4,7,6]=>[4,3,1]=>11
[5,2,3,8,1,4,7,6]=>[3,4,1]=>10
[6,2,8,1,3,5,4,7]=>[2,4,2]=>8
[6,2,4,1,8,7,3,5]=>[2,2,1,3]=>11
[6,3,1,4,2,8,5,7]=>[1,3,1,3]=>10
[3,1,6,4,2,8,5,7]=>[2,2,1,3]=>11
[2,6,3,8,7,1,5,4]=>[3,1,3,1]=>14
[2,6,3,8,5,1,4,7]=>[3,2,3]=>8
[2,5,1,8,3,4,7,6]=>[3,4,1]=>10
[2,5,1,3,8,4,7,6]=>[4,3,1]=>11
[1,2,5,3,8,4,7,6]=>[2,2,3,1]=>13
[1,2,4,8,3,7,6,5]=>[2,3,2,1]=>14
[2,4,8,1,3,7,6,5]=>[5,2,1]=>12
[2,4,8,3,7,1,6,5]=>[4,3,1]=>11
[2,4,8,3,7,6,1,5]=>[4,2,2]=>10
[2,5,3,8,1,7,4,6]=>[3,2,3]=>8
[2,5,4,1,3,8,7,6]=>[2,3,2,1]=>14
[3,1,5,4,8,2,7,6]=>[2,2,3,1]=>13
[5,3,1,4,8,2,7,6]=>[1,3,3,1]=>12
[5,2,3,8,4,7,1,6]=>[3,2,3]=>8
[4,8,2,3,7,6,1,5]=>[4,2,2]=>10
[4,8,2,3,7,1,6,5]=>[4,3,1]=>11
[4,8,1,2,3,7,6,5]=>[5,2,1]=>12
[1,4,8,2,3,7,6,5]=>[1,4,2,1]=>13
[1,4,8,3,7,2,6,5]=>[1,3,3,1]=>12
[6,3,8,1,5,2,4,7]=>[1,4,3]=>6
[5,3,8,1,2,4,7,6]=>[1,6,1]=>8
[5,1,3,8,2,4,7,6]=>[3,4,1]=>10
[1,5,3,8,2,4,7,6]=>[1,2,4,1]=>11
[1,5,4,8,2,7,6,3]=>[1,1,3,2,1]=>15
[5,1,4,8,2,7,6,3]=>[2,3,2,1]=>14
[5,4,8,1,2,7,6,3]=>[1,4,2,1]=>13
[6,5,1,2,8,7,4,3]=>[1,3,1,2,1]=>17
[5,3,1,6,4,2,8,7]=>[1,2,2,1,2]=>15
[5,1,6,2,8,7,4,3]=>[2,2,1,2,1]=>18
[4,1,5,8,2,7,6,3]=>[2,3,2,1]=>14
[4,1,2,5,8,7,6,3]=>[3,2,2,1]=>15
[1,4,2,5,8,7,6,3]=>[1,2,2,2,1]=>16
[1,3,5,2,8,7,4,6]=>[1,3,1,3]=>10
[3,5,1,2,8,7,4,6]=>[4,1,3]=>9
[3,6,2,8,7,5,1,4]=>[3,1,2,2]=>13
[4,2,6,1,8,7,3,5]=>[2,2,1,3]=>11
[4,3,1,5,8,2,7,6]=>[1,2,4,1]=>11
[3,5,2,8,7,1,4,6]=>[3,1,4]=>7
[3,4,8,7,2,6,1,5]=>[3,3,2]=>9
[3,4,8,7,1,2,6,5]=>[3,4,1]=>10
[3,4,8,1,7,2,6,5]=>[4,3,1]=>11
[1,3,4,8,7,2,6,5]=>[1,3,3,1]=>12
[1,3,4,8,2,7,6,5]=>[1,4,2,1]=>13
[3,4,8,1,2,7,6,5]=>[5,2,1]=>12
[3,4,8,2,7,1,6,5]=>[4,3,1]=>11
[3,4,8,2,7,6,1,5]=>[4,2,2]=>10
[4,2,5,8,1,7,6,3]=>[2,3,2,1]=>14
[4,3,1,2,5,8,7,6]=>[1,4,2,1]=>13
[3,1,4,2,5,8,7,6]=>[2,3,2,1]=>14
[2,3,5,1,8,7,6,4]=>[4,1,2,1]=>16
[7,8,2,1,5,3,6,4]=>[3,2,2,1]=>15
[6,4,1,2,7,3,5,8]=>[1,3,4]=>5
[2,3,7,5,4,1,8,6]=>[3,2,1,2]=>14
[6,3,1,5,4,2,7,8]=>[1,2,2,3]=>9
[7,8,1,5,4,2,6,3]=>[3,2,2,1]=>15
[7,8,3,5,4,1,6,2]=>[3,2,2,1]=>15
[7,8,2,5,4,1,3,6]=>[3,2,3]=>8
[7,8,2,5,4,6,1,3]=>[3,3,2]=>9
[6,2,1,5,4,7,3,8]=>[2,1,2,3]=>10
[5,3,6,1,4,7,8,2]=>[1,4,3]=>6
[5,3,6,2,4,7,1,8]=>[1,4,3]=>6
[6,4,2,1,7,3,8,5]=>[1,2,1,2,2]=>14
[4,3,7,5,8,6,1,2]=>[1,2,3,2]=>10
[4,2,7,1,8,3,6,5]=>[2,2,3,1]=>13
[3,2,6,7,4,8,1,5]=>[2,3,3]=>7
[3,1,6,7,4,8,5,2]=>[2,3,2,1]=>14
[1,7,6,5,3,8,4,2]=>[1,1,1,2,2,1]=>18
[2,7,6,5,3,8,1,4]=>[2,1,2,3]=>10
[1,7,6,5,2,4,8,3]=>[1,1,1,3,2]=>12
[2,7,6,5,3,1,4,8]=>[2,1,2,3]=>10
[2,7,1,4,8,3,5,6]=>[4,4]=>4
[3,7,6,4,8,5,1,2]=>[2,2,2,2]=>12
[5,7,6,3,8,4,1,2]=>[2,2,2,2]=>12
[5,1,6,2,4,8,3,7]=>[2,3,3]=>7
[4,7,6,5,2,1,3,8]=>[2,1,2,3]=>10
[4,7,6,5,2,8,1,3]=>[2,1,2,3]=>10
[4,7,6,5,1,8,3,2]=>[2,1,2,2,1]=>17
[1,7,6,5,2,8,3,4]=>[1,1,1,2,3]=>11
[1,7,6,5,3,2,8,4]=>[1,1,1,2,1,2]=>17
[4,7,6,5,1,2,8,3]=>[2,1,3,2]=>11
[4,7,6,5,3,1,8,2]=>[2,1,2,1,2]=>16
[6,1,3,5,4,8,7,2]=>[3,2,2,1]=>15
[5,2,6,3,4,1,7,8]=>[2,3,3]=>7
[5,1,6,2,4,7,8,3]=>[2,3,3]=>7
[1,2,6,3,4,8,7,5]=>[2,3,2,1]=>14
[1,7,2,4,8,3,6,5]=>[1,3,3,1]=>12
[6,1,4,2,8,3,5,7]=>[2,2,4]=>6
[4,1,8,2,6,3,5,7]=>[2,2,4]=>6
[4,7,2,1,5,3,6,8]=>[3,2,3]=>8
[4,7,1,6,2,3,8,5]=>[3,3,2]=>9
[1,7,2,6,8,3,5,4]=>[1,2,4,1]=>11
[1,2,6,7,4,8,5,3]=>[2,3,2,1]=>14
[3,1,6,7,4,2,8,5]=>[2,3,1,2]=>13
[3,2,8,5,4,6,1,7]=>[2,1,3,2]=>11
[4,7,6,3,5,8,1,2]=>[2,3,3]=>7
[4,7,1,2,5,3,8,6]=>[5,1,2]=>11
[3,7,6,5,2,4,1,8]=>[2,1,3,2]=>11
[3,7,6,5,1,4,8,2]=>[2,1,3,2]=>11
[3,7,6,5,2,1,8,4]=>[2,1,2,1,2]=>16
[1,7,6,5,8,2,4,3]=>[1,1,1,4,1]=>13
[3,7,6,5,8,1,4,2]=>[2,1,4,1]=>12
[3,7,6,5,1,2,4,8]=>[2,1,5]=>5
[3,1,6,8,4,2,5,7]=>[2,3,3]=>7
[4,7,6,8,3,5,1,2]=>[2,4,2]=>8
[2,7,6,5,1,4,3,8]=>[2,1,3,2]=>11
[2,7,6,5,8,1,3,4]=>[2,1,5]=>5
[2,7,6,5,8,4,1,3]=>[2,1,3,2]=>11
[6,3,2,1,7,4,8,5]=>[1,2,1,2,2]=>14
[4,2,1,7,3,5,8,6]=>[2,1,3,2]=>11
[7,3,1,5,4,2,8,6]=>[1,2,2,1,2]=>15
[8,4,1,5,2,7,6,3]=>[1,2,2,2,1]=>16
[8,2,5,1,3,7,6,4]=>[2,3,2,1]=>14
[4,3,7,2,1,5,8,6]=>[1,3,2,2]=>11
[6,3,7,4,2,1,8,5]=>[1,3,1,1,2]=>16
[4,7,2,5,3,1,8,6]=>[3,2,1,2]=>14
[2,7,5,4,1,3,8,6]=>[2,2,2,2]=>12
[7,5,4,3,2,1,8,6]=>[1,1,2,1,1,2]=>18
[8,5,3,2,1,7,6,4]=>[1,2,1,1,2,1]=>20
[6,5,2,1,8,4,3,7]=>[1,2,1,2,2]=>14
[4,6,3,2,8,1,5,7]=>[3,1,4]=>7
[5,7,4,3,2,8,1,6]=>[2,2,1,3]=>11
[1,7,6,2,4,8,3,5]=>[1,1,3,3]=>8
[2,7,3,6,4,8,1,5]=>[3,2,3]=>8
[6,2,7,5,3,8,1,4]=>[2,1,2,3]=>10
[7,1,8,5,3,6,4,2]=>[2,1,3,1,1]=>18
[5,8,1,6,2,7,4,3]=>[3,2,2,1]=>15
[1,8,6,2,3,7,5,4]=>[1,1,3,2,1]=>15
[1,8,6,3,2,7,5,4]=>[1,1,2,1,2,1]=>19
[5,8,3,2,7,1,6,4]=>[3,1,3,1]=>14
[8,7,3,1,6,5,4,2]=>[1,2,1,2,1,1]=>21
[8,7,2,6,1,5,4,3]=>[1,2,3,1,1]=>17
[1,8,5,7,4,3,6,2]=>[1,1,3,2,1]=>15
[1,8,5,7,2,4,6,3]=>[1,1,5,1]=>10
[3,8,6,1,7,2,5,4]=>[2,2,3,1]=>13
[5,8,4,6,7,1,3,2]=>[2,5,1]=>9
[7,2,8,5,6,1,4,3]=>[2,1,4,1]=>12
[6,3,7,5,8,2,1,4]=>[1,2,3,2]=>10
[3,7,2,6,8,4,1,5]=>[3,3,2]=>9
[3,6,5,8,1,4,2,7]=>[2,4,2]=>8
[2,6,5,8,4,1,3,7]=>[2,3,3]=>7
[6,5,4,8,3,2,1,7]=>[1,1,3,1,2]=>14
[8,4,3,7,2,1,6,5]=>[1,2,2,2,1]=>16
[8,2,4,7,1,3,6,5]=>[2,5,1]=>9
[6,2,5,8,1,4,3,7]=>[2,4,2]=>8
[4,3,6,8,2,1,5,7]=>[1,4,3]=>6
[6,3,5,1,8,4,2,7]=>[1,3,2,2]=>11
[8,4,1,5,7,3,6,2]=>[1,2,4,1]=>11
[6,4,2,5,8,3,1,7]=>[1,2,3,2]=>10
[5,4,1,6,8,2,3,7]=>[1,2,5]=>4
[6,5,2,1,7,8,3,4]=>[1,2,1,4]=>8
[6,3,7,4,8,5,2,1]=>[1,3,2,1,1]=>18
[4,7,2,5,8,6,3,1]=>[3,3,1,1]=>16
[6,3,1,8,4,7,5,2]=>[1,2,2,2,1]=>16
[6,4,2,8,7,3,5,1]=>[1,2,1,3,1]=>15
[6,5,3,8,7,4,1,2]=>[1,2,1,2,2]=>14
[8,5,3,7,6,4,2,1]=>[1,2,1,2,1,1]=>21
[5,4,8,1,7,6,2,3]=>[1,3,2,2]=>11
[5,2,8,1,7,3,6,4]=>[2,2,3,1]=>13
[6,4,8,2,1,7,5,3]=>[1,3,1,2,1]=>17
[3,6,8,1,4,7,5,2]=>[5,2,1]=>12
[5,7,3,8,1,6,4,2]=>[3,3,1,1]=>16
[6,4,7,8,1,5,3,2]=>[1,5,1,1]=>14
[6,3,7,8,5,2,4,1]=>[1,4,2,1]=>13
[2,5,8,7,1,3,6,4]=>[3,4,1]=>10
[5,3,8,7,2,1,6,4]=>[1,2,2,2,1]=>16
[8,3,7,6,1,5,4,2]=>[1,2,3,1,1]=>17
[8,2,7,6,5,1,4,3]=>[2,1,2,2,1]=>17
[4,3,8,7,6,2,1,5]=>[1,2,1,2,2]=>14
[2,4,8,7,6,1,3,5]=>[3,1,4]=>7
[3,5,8,7,2,6,1,4]=>[3,3,2]=>9
[4,7,3,8,6,5,1,2]=>[3,1,2,2]=>13
[7,5,8,6,4,3,2,1]=>[1,2,2,1,1,1]=>22
[5,8,7,3,6,4,2,1]=>[2,2,2,1,1]=>19
[4,8,7,6,2,5,3,1]=>[2,1,3,1,1]=>18
[3,8,7,6,5,1,4,2]=>[2,1,2,2,1]=>17
[2,8,7,6,5,4,1,3]=>[2,1,2,1,2]=>16
[3,6,5,1,2,4,8,7]=>[2,4,2]=>8
[3,7,5,8,2,4,1,6]=>[2,4,2]=>8
[3,8,5,7,2,4,1,6]=>[2,4,2]=>8
[5,1,7,8,4,3,2,6]=>[2,3,1,2]=>13
[5,1,2,6,4,3,8,7]=>[3,2,1,2]=>14
[6,1,2,5,4,3,8,7]=>[3,2,1,2]=>14
[5,1,2,4,6,3,8,7]=>[4,2,2]=>10
[4,1,2,6,5,3,8,7]=>[3,2,1,2]=>14
[4,1,5,7,8,3,2,6]=>[2,4,2]=>8
[4,1,5,8,7,3,2,6]=>[2,2,2,2]=>12
[4,7,1,8,3,6,2,5]=>[3,3,2]=>9
[4,1,7,8,5,2,3,6]=>[2,3,3]=>7
[5,1,7,4,8,2,3,6]=>[2,2,4]=>6
[7,5,3,8,1,4,2,6]=>[1,2,3,2]=>10
[2,1,5,8,7,3,4,6]=>[2,2,4]=>6
[5,1,8,4,7,2,3,6]=>[2,2,4]=>6
[4,1,8,7,5,2,3,6]=>[2,1,2,3]=>10
[4,7,1,6,3,2,8,5]=>[3,2,1,2]=>14
[6,1,2,3,7,5,8,4]=>[4,2,2]=>10
[7,1,2,3,8,6,5,4]=>[4,2,1,1]=>17
[7,1,2,3,5,8,6,4]=>[5,2,1]=>12
[6,8,1,4,3,7,2,5]=>[4,1,3]=>9
[8,7,3,2,4,1,6,5]=>[1,2,2,2,1]=>16
[2,1,7,3,4,8,6,5]=>[2,3,2,1]=>14
[7,8,3,2,4,1,6,5]=>[3,2,2,1]=>15
[6,7,1,4,3,8,2,5]=>[4,1,3]=>9
[8,1,2,3,5,7,6,4]=>[5,2,1]=>12
[8,1,2,3,6,7,5,4]=>[4,3,1]=>11
[7,1,2,3,6,8,5,4]=>[4,3,1]=>11
[7,1,2,3,8,5,6,4]=>[4,3,1]=>11
[8,1,2,3,7,5,6,4]=>[4,3,1]=>11
[8,1,2,3,6,5,7,4]=>[4,3,1]=>11
[7,1,8,5,4,3,2,6]=>[2,1,2,1,2]=>16
[7,8,2,6,3,4,1,5]=>[3,3,2]=>9
[6,8,2,7,3,4,1,5]=>[3,3,2]=>9
[6,7,2,8,3,4,1,5]=>[3,3,2]=>9
[3,8,7,1,4,2,6,5]=>[2,3,2,1]=>14
[3,7,8,1,4,2,6,5]=>[5,2,1]=>12
[3,6,8,1,4,2,7,5]=>[5,2,1]=>12
[3,5,7,8,2,4,1,6]=>[6,2]=>6
[3,6,7,1,4,2,8,5]=>[5,1,2]=>11
[7,6,2,8,3,1,4,5]=>[1,2,2,3]=>9
[8,6,2,7,3,1,4,5]=>[1,2,2,3]=>9
[8,1,7,5,4,3,2,6]=>[2,1,2,1,2]=>16
[8,1,7,4,5,3,2,6]=>[2,3,1,2]=>13
[5,8,3,7,1,4,2,6]=>[3,3,2]=>9
[2,1,7,3,4,6,8,5]=>[2,4,2]=>8
[6,7,3,2,4,1,8,5]=>[3,2,1,2]=>14
[8,7,2,4,3,6,1,5]=>[1,3,2,2]=>11
[7,1,2,3,5,6,8,4]=>[6,2]=>6
[6,1,2,3,8,7,4,5]=>[4,1,3]=>9
[5,1,2,3,7,8,6,4]=>[4,3,1]=>11
[5,1,2,3,8,7,6,4]=>[4,1,2,1]=>16
[5,1,2,3,8,6,7,4]=>[4,3,1]=>11
[6,1,2,3,5,8,7,4]=>[5,2,1]=>12
[8,6,2,4,3,1,7,5]=>[1,3,1,2,1]=>17
[7,6,3,2,4,8,1,5]=>[1,2,2,3]=>9
[2,1,6,3,4,8,7,5]=>[2,3,2,1]=>14
[8,6,3,2,4,7,1,5]=>[1,2,2,3]=>9
[7,6,2,4,3,1,8,5]=>[1,3,1,1,2]=>16
[6,1,2,3,5,7,8,4]=>[5,3]=>5
[5,1,2,3,6,8,7,4]=>[4,3,1]=>11
[7,8,1,2,6,3,5,4]=>[4,3,1]=>11
[1,4,8,2,7,3,5,6]=>[1,3,4]=>5
[1,2,8,5,4,7,3,6]=>[2,1,2,3]=>10
[1,3,8,5,4,2,7,6]=>[1,2,2,2,1]=>16
[2,3,6,8,4,7,1,5]=>[5,3]=>5
[1,3,6,8,4,7,5,2]=>[1,4,2,1]=>13
[2,4,8,1,7,3,6,5]=>[4,3,1]=>11
[3,4,8,5,7,6,1,2]=>[3,3,2]=>9
[1,2,6,8,4,5,7,3]=>[2,5,1]=>9
[7,5,1,2,4,3,6,8]=>[1,4,3]=>6
[7,4,6,1,5,2,3,8]=>[1,4,3]=>6
[7,1,4,2,6,3,5,8]=>[2,2,4]=>6
[6,8,1,4,7,2,3,5]=>[4,4]=>4
[1,6,4,2,8,3,5,7]=>[1,1,2,4]=>7
[1,6,3,8,5,4,2,7]=>[1,2,2,1,2]=>15
[6,8,1,7,3,5,4,2]=>[3,3,1,1]=>16
[7,1,3,6,5,4,2,8]=>[3,2,1,2]=>14
[7,3,1,6,5,4,2,8]=>[1,2,2,1,2]=>15
[7,2,1,4,6,3,5,8]=>[2,2,4]=>6
[7,2,3,6,5,1,4,8]=>[3,2,3]=>8
[7,1,2,3,6,5,4,8]=>[4,2,2]=>10
[6,8,1,2,7,3,5,4]=>[4,3,1]=>11
[1,6,2,3,8,5,4,7]=>[1,3,2,2]=>11
[1,5,8,2,7,6,3,4]=>[1,3,2,2]=>11
[5,1,8,2,7,6,3,4]=>[2,2,2,2]=>12
[5,8,2,7,6,3,4,1]=>[3,1,3,1]=>14
[6,2,8,1,7,3,5,4]=>[2,2,3,1]=>13
[6,8,2,1,7,4,3,5]=>[3,1,2,2]=>13
[3,6,4,1,2,8,5,7]=>[2,3,3]=>7
[2,1,6,3,8,5,4,7]=>[2,2,2,2]=>12
[2,5,1,8,7,6,3,4]=>[3,1,2,2]=>13
[2,5,3,8,7,4,6,1]=>[3,1,3,1]=>14
[1,2,5,3,8,7,4,6]=>[2,2,1,3]=>11
[2,4,8,7,6,5,1,3]=>[3,1,2,2]=>13
[2,5,3,8,7,1,6,4]=>[3,1,3,1]=>14
[2,5,8,4,1,7,6,3]=>[4,1,2,1]=>16
[3,5,8,7,1,4,2,6]=>[3,3,2]=>9
[5,3,8,4,1,7,6,2]=>[1,3,1,2,1]=>17
[4,2,8,7,6,3,5,1]=>[2,1,1,3,1]=>16
[4,2,8,7,6,5,3,1]=>[2,1,1,2,1,1]=>22
[4,1,8,7,6,5,3,2]=>[2,1,1,2,1,1]=>22
[4,3,8,7,6,5,1,2]=>[1,2,1,2,2]=>14
[6,3,1,8,7,2,5,4]=>[1,2,1,3,1]=>15
[5,8,3,7,6,1,4,2]=>[3,1,3,1]=>14
[5,1,3,8,7,6,2,4]=>[3,1,2,2]=>13
[1,5,3,8,7,6,2,4]=>[1,2,1,2,2]=>14
[1,5,8,4,7,2,6,3]=>[1,3,3,1]=>12
[5,1,8,4,7,2,6,3]=>[2,2,3,1]=>13
[5,8,7,4,6,1,2,3]=>[2,2,4]=>6
[6,8,5,1,2,4,7,3]=>[2,5,1]=>9
[5,6,3,1,2,4,8,7]=>[3,3,2]=>9
[5,6,2,4,3,1,8,7]=>[4,1,1,2]=>15
[5,6,1,2,4,3,8,7]=>[5,1,2]=>11
[4,5,8,1,7,2,3,6]=>[4,4]=>4
[4,5,8,1,7,2,6,3]=>[4,3,1]=>11
[1,3,2,5,8,7,4,6]=>[1,2,2,3]=>9
[3,5,1,8,7,4,6,2]=>[3,1,3,1]=>14
[3,5,1,8,7,2,6,4]=>[3,1,3,1]=>14
[4,3,6,1,2,8,5,7]=>[1,4,3]=>6
[4,5,8,3,1,7,2,6]=>[4,1,3]=>9
[4,5,2,8,7,1,3,6]=>[3,1,4]=>7
[3,2,5,8,7,1,6,4]=>[2,2,3,1]=>13
[3,4,8,7,6,2,1,5]=>[3,1,2,2]=>13
[3,1,4,8,7,6,2,5]=>[2,2,2,2]=>12
[3,4,8,7,6,5,1,2]=>[3,1,2,2]=>13
[1,3,4,8,7,6,2,5]=>[1,3,2,2]=>11
[3,4,8,7,6,2,5,1]=>[3,1,3,1]=>14
[3,2,5,8,7,4,6,1]=>[2,2,3,1]=>13
[4,5,8,3,1,7,6,2]=>[4,1,2,1]=>16
[2,1,3,5,8,7,4,6]=>[3,2,3]=>8
[1,2,7,5,8,6,4,3]=>[2,1,3,1,1]=>18
[7,1,4,8,2,6,5,3]=>[2,4,1,1]=>15
[6,8,1,3,7,5,2,4]=>[4,2,2]=>10
[3,7,8,1,2,6,5,4]=>[6,1,1]=>13
[1,3,7,8,2,6,5,4]=>[1,5,1,1]=>14
[2,3,7,8,1,6,5,4]=>[6,1,1]=>13
[2,7,8,1,3,6,5,4]=>[6,1,1]=>13
[8,1,2,6,7,3,5,4]=>[3,4,1]=>10
[8,1,2,6,7,5,3,4]=>[3,3,2]=>9
[8,2,5,7,1,3,6,4]=>[2,5,1]=>9
[2,8,1,6,7,3,5,4]=>[3,4,1]=>10
[2,6,8,3,7,1,5,4]=>[4,3,1]=>11
[2,8,6,4,7,1,5,3]=>[2,2,3,1]=>13
[6,8,3,4,1,7,5,2]=>[4,1,2,1]=>16
[6,8,3,7,4,1,5,2]=>[3,2,2,1]=>15
[2,6,8,3,7,5,1,4]=>[4,2,2]=>10
[2,8,1,6,7,5,3,4]=>[3,3,2]=>9
[8,2,5,7,1,6,3,4]=>[2,4,2]=>8
[8,4,7,2,3,6,1,5]=>[1,5,2]=>7
[8,5,7,4,2,6,1,3]=>[1,3,2,2]=>11
[8,3,5,7,4,1,6,2]=>[1,4,2,1]=>13
[8,5,2,4,7,1,6,3]=>[1,3,3,1]=>12
[8,2,3,5,7,1,6,4]=>[3,4,1]=>10
[8,2,4,7,3,6,1,5]=>[2,4,2]=>8
[8,2,7,1,4,6,3,5]=>[2,4,2]=>8
[8,7,1,2,4,6,3,5]=>[1,5,2]=>7
[8,7,1,4,6,2,3,5]=>[1,3,4]=>5
[8,4,7,1,3,6,2,5]=>[1,5,2]=>7
[1,6,8,3,7,2,5,4]=>[1,3,3,1]=>12
[8,3,5,7,1,2,6,4]=>[1,6,1]=>8
[5,8,7,1,3,6,2,4]=>[2,4,2]=>8
[8,5,4,7,1,6,2,3]=>[1,1,4,2]=>9
[8,5,4,7,1,2,6,3]=>[1,1,5,1]=>10
[8,5,1,4,7,2,6,3]=>[1,3,3,1]=>12
[1,4,6,8,2,7,5,3]=>[1,4,2,1]=>13
[1,6,5,8,2,7,4,3]=>[1,1,3,2,1]=>15
[8,5,6,3,1,7,4,2]=>[1,3,1,2,1]=>17
[5,6,2,8,1,7,4,3]=>[3,2,2,1]=>15
[1,8,4,5,7,2,6,3]=>[1,1,5,1]=>10
[5,8,7,3,6,1,2,4]=>[2,2,4]=>6
[8,3,5,7,1,6,2,4]=>[1,5,2]=>7
[1,6,8,3,7,5,2,4]=>[1,3,2,2]=>11
[6,3,8,2,7,5,1,4]=>[1,3,2,2]=>11
[6,8,4,2,7,1,5,3]=>[2,2,3,1]=>13
[8,6,4,7,3,1,5,2]=>[1,1,3,2,1]=>15
[8,4,5,7,3,1,6,2]=>[1,4,2,1]=>13
[8,4,2,5,7,1,6,3]=>[1,2,4,1]=>11
[8,3,4,7,2,6,1,5]=>[1,5,2]=>7
[8,7,1,3,4,6,2,5]=>[1,5,2]=>7
[8,3,7,2,4,6,1,5]=>[1,5,2]=>7
[2,8,4,5,7,1,6,3]=>[2,5,1]=>9
[8,7,3,4,5,1,6,2]=>[1,4,2,1]=>13
[8,7,4,5,2,6,1,3]=>[1,1,4,2]=>9
[5,8,7,2,3,6,1,4]=>[2,4,2]=>8
[8,7,2,3,4,6,1,5]=>[1,5,2]=>7
[8,7,2,3,6,1,4,5]=>[1,3,4]=>5
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Description
The major index of the composition.
The descents of a composition [c1,c2,…,ck] are the partial sums c1,c1+c2,…,c1+⋯+ck−1, excluding the sum of all parts. The major index of a composition is the sum of its descents.
For details about the major index see Permutations/Descents-Major.
The descents of a composition [c1,c2,…,ck] are the partial sums c1,c1+c2,…,c1+⋯+ck−1, excluding the sum of all parts. The major index of a composition is the sum of its descents.
For details about the major index see Permutations/Descents-Major.
Map
DEX composition
Description
The DEX composition of a permutation.
Let π be a permutation in Sn. Let ˉπ be the word in the ordered set ˉ1<⋯<ˉn<1⋯<n obtained from π by replacing every excedance π(i)>i by ¯π(i). Then the DEX set of π is the set of indices 1≤i<n such that ˉπ(i)>ˉπ(i+1). Finally, the DEX composition c1,…,ck of n corresponds to the DEX subset {c1,c1+c2,…,c1+⋯+ck−1}.
The (quasi)symmetric function
∑π∈Sλ,jFDEX(π),
where the sum is over the set of permutations of cycle type λ with j excedances, is the Eulerian quasisymmetric function.
Let π be a permutation in Sn. Let ˉπ be the word in the ordered set ˉ1<⋯<ˉn<1⋯<n obtained from π by replacing every excedance π(i)>i by ¯π(i). Then the DEX set of π is the set of indices 1≤i<n such that ˉπ(i)>ˉπ(i+1). Finally, the DEX composition c1,…,ck of n corresponds to the DEX subset {c1,c1+c2,…,c1+⋯+ck−1}.
The (quasi)symmetric function
∑π∈Sλ,jFDEX(π),
where the sum is over the set of permutations of cycle type λ with j excedances, is the Eulerian quasisymmetric function.
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