Identifier
Mp00090:
Permutations
—cycle-as-one-line notation⟶
Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00069: Permutations —complement⟶ Permutations
Mp00114: Permutations —connectivity set⟶ Binary words
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00069: Permutations —complement⟶ Permutations
Mp00114: Permutations —connectivity set⟶ Binary words
Images
=>
[1]=>[1]=>[1]=>[1]=>
[1,2]=>[1,2]=>[1,2]=>[2,1]=>0
[2,1]=>[1,2]=>[1,2]=>[2,1]=>0
[1,2,3]=>[1,2,3]=>[1,2,3]=>[3,2,1]=>00
[1,3,2]=>[1,2,3]=>[1,2,3]=>[3,2,1]=>00
[2,1,3]=>[1,2,3]=>[1,2,3]=>[3,2,1]=>00
[2,3,1]=>[1,2,3]=>[1,2,3]=>[3,2,1]=>00
[3,1,2]=>[1,3,2]=>[1,3,2]=>[3,1,2]=>00
[3,2,1]=>[1,3,2]=>[1,3,2]=>[3,1,2]=>00
[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>000
[1,2,4,3]=>[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>000
[1,3,2,4]=>[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>000
[1,3,4,2]=>[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>000
[1,4,2,3]=>[1,2,4,3]=>[1,2,4,3]=>[4,3,1,2]=>000
[1,4,3,2]=>[1,2,4,3]=>[1,2,4,3]=>[4,3,1,2]=>000
[2,1,3,4]=>[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>000
[2,1,4,3]=>[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>000
[2,3,1,4]=>[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>000
[2,3,4,1]=>[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>000
[2,4,1,3]=>[1,2,4,3]=>[1,2,4,3]=>[4,3,1,2]=>000
[2,4,3,1]=>[1,2,4,3]=>[1,2,4,3]=>[4,3,1,2]=>000
[3,1,2,4]=>[1,3,2,4]=>[1,3,2,4]=>[4,2,3,1]=>000
[3,1,4,2]=>[1,3,4,2]=>[1,4,3,2]=>[4,1,2,3]=>000
[3,2,1,4]=>[1,3,2,4]=>[1,3,2,4]=>[4,2,3,1]=>000
[3,2,4,1]=>[1,3,4,2]=>[1,4,3,2]=>[4,1,2,3]=>000
[3,4,1,2]=>[1,3,2,4]=>[1,3,2,4]=>[4,2,3,1]=>000
[3,4,2,1]=>[1,3,2,4]=>[1,3,2,4]=>[4,2,3,1]=>000
[4,1,2,3]=>[1,4,3,2]=>[1,3,4,2]=>[4,2,1,3]=>000
[4,1,3,2]=>[1,4,2,3]=>[1,4,2,3]=>[4,1,3,2]=>000
[4,2,1,3]=>[1,4,3,2]=>[1,3,4,2]=>[4,2,1,3]=>000
[4,2,3,1]=>[1,4,2,3]=>[1,4,2,3]=>[4,1,3,2]=>000
[4,3,1,2]=>[1,4,2,3]=>[1,4,2,3]=>[4,1,3,2]=>000
[4,3,2,1]=>[1,4,2,3]=>[1,4,2,3]=>[4,1,3,2]=>000
[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0000
[1,2,3,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0000
[1,2,4,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0000
[1,2,4,5,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0000
[1,2,5,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[5,4,3,1,2]=>0000
[1,2,5,4,3]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[5,4,3,1,2]=>0000
[1,3,2,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0000
[1,3,2,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0000
[1,3,4,2,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0000
[1,3,4,5,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0000
[1,3,5,2,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[5,4,3,1,2]=>0000
[1,3,5,4,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[5,4,3,1,2]=>0000
[1,4,2,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[5,4,2,3,1]=>0000
[1,4,2,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[5,4,1,2,3]=>0000
[1,4,3,2,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[5,4,2,3,1]=>0000
[1,4,3,5,2]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[5,4,1,2,3]=>0000
[1,4,5,2,3]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[5,4,2,3,1]=>0000
[1,4,5,3,2]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[5,4,2,3,1]=>0000
[1,5,2,3,4]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[5,4,2,1,3]=>0000
[1,5,2,4,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[5,4,1,3,2]=>0000
[1,5,3,2,4]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[5,4,2,1,3]=>0000
[1,5,3,4,2]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[5,4,1,3,2]=>0000
[1,5,4,2,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[5,4,1,3,2]=>0000
[1,5,4,3,2]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[5,4,1,3,2]=>0000
[2,1,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0000
[2,1,3,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0000
[2,1,4,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0000
[2,1,4,5,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0000
[2,1,5,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[5,4,3,1,2]=>0000
[2,1,5,4,3]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[5,4,3,1,2]=>0000
[2,3,1,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0000
[2,3,1,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0000
[2,3,4,1,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0000
[2,3,4,5,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0000
[2,3,5,1,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[5,4,3,1,2]=>0000
[2,3,5,4,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[5,4,3,1,2]=>0000
[2,4,1,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[5,4,2,3,1]=>0000
[2,4,1,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[5,4,1,2,3]=>0000
[2,4,3,1,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[5,4,2,3,1]=>0000
[2,4,3,5,1]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[5,4,1,2,3]=>0000
[2,4,5,1,3]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[5,4,2,3,1]=>0000
[2,4,5,3,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[5,4,2,3,1]=>0000
[2,5,1,3,4]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[5,4,2,1,3]=>0000
[2,5,1,4,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[5,4,1,3,2]=>0000
[2,5,3,1,4]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[5,4,2,1,3]=>0000
[2,5,3,4,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[5,4,1,3,2]=>0000
[2,5,4,1,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[5,4,1,3,2]=>0000
[2,5,4,3,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[5,4,1,3,2]=>0000
[3,1,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[5,3,4,2,1]=>0000
[3,1,2,5,4]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[5,3,4,2,1]=>0000
[3,1,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>0000
[3,1,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[5,1,3,2,4]=>0000
[3,1,5,2,4]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[5,2,3,1,4]=>0000
[3,1,5,4,2]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[5,1,3,4,2]=>0000
[3,2,1,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[5,3,4,2,1]=>0000
[3,2,1,5,4]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[5,3,4,2,1]=>0000
[3,2,4,1,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>0000
[3,2,4,5,1]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[5,1,3,2,4]=>0000
[3,2,5,1,4]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[5,2,3,1,4]=>0000
[3,2,5,4,1]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[5,1,3,4,2]=>0000
[3,4,1,2,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[5,3,4,2,1]=>0000
[3,4,1,5,2]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[5,3,4,2,1]=>0000
[3,4,2,1,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[5,3,4,2,1]=>0000
[3,4,2,5,1]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[5,3,4,2,1]=>0000
[3,4,5,1,2]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[5,1,3,4,2]=>0000
[3,4,5,2,1]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[5,1,3,4,2]=>0000
[3,5,1,2,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[5,3,4,1,2]=>0000
[3,5,1,4,2]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[5,3,4,1,2]=>0000
[3,5,2,1,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[5,3,4,1,2]=>0000
[3,5,2,4,1]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[5,3,4,1,2]=>0000
[3,5,4,1,2]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>0000
[3,5,4,2,1]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>0000
[4,1,2,3,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[5,3,2,4,1]=>0000
[4,1,2,5,3]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[5,3,1,2,4]=>0000
[4,1,3,2,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[5,2,4,3,1]=>0000
[4,1,3,5,2]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[5,1,4,2,3]=>0000
[4,1,5,2,3]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[5,2,4,3,1]=>0000
[4,1,5,3,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[5,1,2,3,4]=>0000
[4,2,1,3,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[5,3,2,4,1]=>0000
[4,2,1,5,3]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[5,3,1,2,4]=>0000
[4,2,3,1,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[5,2,4,3,1]=>0000
[4,2,3,5,1]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[5,1,4,2,3]=>0000
[4,2,5,1,3]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[5,2,4,3,1]=>0000
[4,2,5,3,1]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[5,1,2,3,4]=>0000
[4,3,1,2,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[5,2,4,3,1]=>0000
[4,3,1,5,2]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[5,1,4,2,3]=>0000
[4,3,2,1,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[5,2,4,3,1]=>0000
[4,3,2,5,1]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[5,1,4,2,3]=>0000
[4,3,5,1,2]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[5,2,4,3,1]=>0000
[4,3,5,2,1]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[5,2,4,3,1]=>0000
[4,5,1,2,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[5,2,1,4,3]=>0000
[4,5,1,3,2]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[5,3,2,4,1]=>0000
[4,5,2,1,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[5,2,1,4,3]=>0000
[4,5,2,3,1]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[5,3,2,4,1]=>0000
[4,5,3,1,2]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[5,2,1,4,3]=>0000
[4,5,3,2,1]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[5,2,1,4,3]=>0000
[5,1,2,3,4]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[5,3,2,1,4]=>0000
[5,1,2,4,3]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[5,3,1,4,2]=>0000
[5,1,3,2,4]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[5,2,4,1,3]=>0000
[5,1,3,4,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[5,1,4,3,2]=>0000
[5,1,4,2,3]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[5,2,1,3,4]=>0000
[5,1,4,3,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[5,1,4,3,2]=>0000
[5,2,1,3,4]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[5,3,2,1,4]=>0000
[5,2,1,4,3]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[5,3,1,4,2]=>0000
[5,2,3,1,4]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[5,2,4,1,3]=>0000
[5,2,3,4,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[5,1,4,3,2]=>0000
[5,2,4,1,3]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[5,2,1,3,4]=>0000
[5,2,4,3,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[5,1,4,3,2]=>0000
[5,3,1,2,4]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[5,2,4,1,3]=>0000
[5,3,1,4,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[5,1,4,3,2]=>0000
[5,3,2,1,4]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[5,2,4,1,3]=>0000
[5,3,2,4,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[5,1,4,3,2]=>0000
[5,3,4,1,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[5,1,4,3,2]=>0000
[5,3,4,2,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[5,1,4,3,2]=>0000
[5,4,1,2,3]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[5,3,1,4,2]=>0000
[5,4,1,3,2]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[5,1,2,4,3]=>0000
[5,4,2,1,3]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[5,3,1,4,2]=>0000
[5,4,2,3,1]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[5,1,2,4,3]=>0000
[5,4,3,1,2]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[5,1,2,4,3]=>0000
[5,4,3,2,1]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[5,1,2,4,3]=>0000
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>00000
[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>00000
[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[1,2,4,3,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>00000
[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>00000
[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>00000
[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>00000
[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>00000
[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>00000
[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>00000
[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>00000
[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>00000
[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>00000
[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>00000
[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>00000
[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>00000
[1,2,6,5,4,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>00000
[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[1,3,2,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[1,3,2,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[1,3,2,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[1,3,2,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>00000
[1,3,2,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>00000
[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[1,3,4,2,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>00000
[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>00000
[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>00000
[1,3,5,2,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>00000
[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>00000
[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>00000
[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>00000
[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>00000
[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>00000
[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>00000
[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>00000
[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>00000
[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>00000
[1,3,6,5,4,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>00000
[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000
[1,4,2,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000
[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>00000
[1,4,2,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>00000
[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]=>[6,5,2,3,1,4]=>00000
[1,4,2,6,5,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>00000
[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000
[1,4,3,2,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000
[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>00000
[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>00000
[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]=>[6,5,2,3,1,4]=>00000
[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>00000
[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000
[1,4,5,2,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000
[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000
[1,4,5,3,6,2]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000
[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>00000
[1,4,5,6,3,2]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>00000
[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>00000
[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>00000
[1,4,6,3,2,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>00000
[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>00000
[1,4,6,5,2,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>00000
[1,4,6,5,3,2]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>00000
[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>00000
[1,5,2,3,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]=>[6,5,3,1,2,4]=>00000
[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>00000
[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>00000
[1,5,2,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>00000
[1,5,2,6,4,3]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>00000
[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>00000
[1,5,3,2,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]=>[6,5,3,1,2,4]=>00000
[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>00000
[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>00000
[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>00000
[1,5,3,6,4,2]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>00000
[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>00000
[1,5,4,2,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>00000
[1,5,4,3,2,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>00000
[1,5,4,3,6,2]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>00000
[1,5,4,6,2,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>00000
[1,5,4,6,3,2]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>00000
[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>00000
[1,5,6,2,4,3]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>00000
[1,5,6,3,2,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>00000
[1,5,6,3,4,2]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>00000
[1,5,6,4,2,3]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>00000
[1,5,6,4,3,2]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>00000
[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]=>[6,5,3,2,1,4]=>00000
[1,6,2,3,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>00000
[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>00000
[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>00000
[1,6,2,5,3,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]=>[6,5,2,1,3,4]=>00000
[1,6,2,5,4,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>00000
[1,6,3,2,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]=>[6,5,3,2,1,4]=>00000
[1,6,3,2,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>00000
[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>00000
[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>00000
[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]=>[6,5,2,1,3,4]=>00000
[1,6,3,5,4,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>00000
[1,6,4,2,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>00000
[1,6,4,2,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>00000
[1,6,4,3,2,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>00000
[1,6,4,3,5,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>00000
[1,6,4,5,2,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>00000
[1,6,4,5,3,2]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>00000
[1,6,5,2,3,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>00000
[1,6,5,2,4,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[6,5,1,2,4,3]=>00000
[1,6,5,3,2,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>00000
[1,6,5,3,4,2]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[6,5,1,2,4,3]=>00000
[1,6,5,4,2,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[6,5,1,2,4,3]=>00000
[1,6,5,4,3,2]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[6,5,1,2,4,3]=>00000
[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[2,1,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[2,1,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[2,1,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[2,1,3,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>00000
[2,1,3,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>00000
[2,1,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[2,1,4,3,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[2,1,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[2,1,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[2,1,4,6,3,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>00000
[2,1,4,6,5,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>00000
[2,1,5,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>00000
[2,1,5,3,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>00000
[2,1,5,4,3,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>00000
[2,1,5,4,6,3]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>00000
[2,1,5,6,3,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>00000
[2,1,5,6,4,3]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>00000
[2,1,6,3,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>00000
[2,1,6,3,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>00000
[2,1,6,4,3,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>00000
[2,1,6,4,5,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>00000
[2,1,6,5,3,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>00000
[2,1,6,5,4,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>00000
[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[2,3,1,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[2,3,1,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[2,3,1,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[2,3,1,6,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>00000
[2,3,1,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>00000
[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[2,3,4,1,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000
[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>00000
[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>00000
[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>00000
[2,3,5,1,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>00000
[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>00000
[2,3,5,4,6,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>00000
[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>00000
[2,3,5,6,4,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>00000
[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>00000
[2,3,6,1,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>00000
[2,3,6,4,1,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>00000
[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>00000
[2,3,6,5,1,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>00000
[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>00000
[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000
[2,4,1,3,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000
[2,4,1,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>00000
[2,4,1,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>00000
[2,4,1,6,3,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]=>[6,5,2,3,1,4]=>00000
[2,4,1,6,5,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>00000
[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000
[2,4,3,1,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000
[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>00000
[2,4,3,5,6,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>00000
[2,4,3,6,1,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]=>[6,5,2,3,1,4]=>00000
[2,4,3,6,5,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>00000
[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000
[2,4,5,1,6,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000
[2,4,5,3,1,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000
[2,4,5,3,6,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000
[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>00000
[2,4,5,6,3,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>00000
[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>00000
[2,4,6,1,5,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>00000
[2,4,6,3,1,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>00000
[2,4,6,3,5,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>00000
[2,4,6,5,1,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>00000
[2,4,6,5,3,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>00000
[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>00000
[2,5,1,3,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]=>[6,5,3,1,2,4]=>00000
[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>00000
[2,5,1,4,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>00000
[2,5,1,6,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>00000
[2,5,1,6,4,3]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>00000
[2,5,3,1,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>00000
[2,5,3,1,6,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]=>[6,5,3,1,2,4]=>00000
[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>00000
[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>00000
[2,5,3,6,1,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>00000
[2,5,3,6,4,1]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>00000
[2,5,4,1,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>00000
[2,5,4,1,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>00000
[2,5,4,3,1,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>00000
[2,5,4,3,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>00000
[2,5,4,6,1,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>00000
[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>00000
[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>00000
[2,5,6,1,4,3]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>00000
[2,5,6,3,1,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>00000
[2,5,6,3,4,1]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>00000
[2,5,6,4,1,3]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>00000
[2,5,6,4,3,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>00000
[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]=>[6,5,3,2,1,4]=>00000
[2,6,1,3,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>00000
[2,6,1,4,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>00000
[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>00000
[2,6,1,5,3,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]=>[6,5,2,1,3,4]=>00000
[2,6,1,5,4,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>00000
[2,6,3,1,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]=>[6,5,3,2,1,4]=>00000
[2,6,3,1,5,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>00000
[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>00000
[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>00000
[2,6,3,5,1,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3]=>[6,5,2,1,3,4]=>00000
[2,6,3,5,4,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>00000
[2,6,4,1,3,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>00000
[2,6,4,1,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>00000
[2,6,4,3,1,5]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>00000
[2,6,4,3,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>00000
[2,6,4,5,1,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>00000
[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>00000
[2,6,5,1,3,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>00000
[2,6,5,1,4,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[6,5,1,2,4,3]=>00000
[2,6,5,3,1,4]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>00000
[2,6,5,3,4,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[6,5,1,2,4,3]=>00000
[2,6,5,4,1,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[6,5,1,2,4,3]=>00000
[2,6,5,4,3,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[6,5,1,2,4,3]=>00000
[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>00000
[3,1,2,4,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>00000
[3,1,2,5,4,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>00000
[3,1,2,5,6,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>00000
[3,1,2,6,4,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>00000
[3,1,2,6,5,4]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>00000
[3,1,4,2,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>00000
[3,1,4,2,6,5]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>00000
[3,1,4,5,2,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>00000
[3,1,4,5,6,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>00000
[3,1,4,6,2,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]=>[6,2,4,3,1,5]=>00000
[3,1,4,6,5,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>[6,1,4,3,5,2]=>00000
[3,1,5,2,4,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]=>[6,3,4,2,5,1]=>00000
[3,1,5,2,6,4]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2]=>[6,3,4,1,2,5]=>00000
[3,1,5,4,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[6,2,4,5,3,1]=>00000
[3,1,5,4,6,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>[6,1,4,5,2,3]=>00000
[3,1,5,6,2,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[6,2,4,5,3,1]=>00000
[3,1,5,6,4,2]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>00000
[3,1,6,2,4,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]=>[6,3,4,2,1,5]=>00000
[3,1,6,2,5,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>00000
[3,1,6,4,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]=>[6,2,4,5,1,3]=>00000
[3,1,6,4,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[6,1,4,5,3,2]=>00000
[3,1,6,5,2,4]=>[1,3,6,4,5,2]=>[1,5,3,6,4,2]=>[6,2,4,1,3,5]=>00000
[3,1,6,5,4,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[6,1,4,5,3,2]=>00000
[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>00000
[3,2,1,4,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>00000
[3,2,1,5,4,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>00000
[3,2,1,5,6,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>00000
[3,2,1,6,4,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>00000
[3,2,1,6,5,4]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>00000
[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>00000
[3,2,4,1,6,5]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>00000
[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>00000
[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>00000
[3,2,4,6,1,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]=>[6,2,4,3,1,5]=>00000
[3,2,4,6,5,1]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>[6,1,4,3,5,2]=>00000
[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]=>[6,3,4,2,5,1]=>00000
[3,2,5,1,6,4]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2]=>[6,3,4,1,2,5]=>00000
[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[6,2,4,5,3,1]=>00000
[3,2,5,4,6,1]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>[6,1,4,5,2,3]=>00000
[3,2,5,6,1,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[6,2,4,5,3,1]=>00000
[3,2,5,6,4,1]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>00000
[3,2,6,1,4,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]=>[6,3,4,2,1,5]=>00000
[3,2,6,1,5,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>00000
[3,2,6,4,1,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]=>[6,2,4,5,1,3]=>00000
[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[6,1,4,5,3,2]=>00000
[3,2,6,5,1,4]=>[1,3,6,4,5,2]=>[1,5,3,6,4,2]=>[6,2,4,1,3,5]=>00000
[3,2,6,5,4,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[6,1,4,5,3,2]=>00000
[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>00000
[3,4,1,2,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>00000
[3,4,1,5,2,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>00000
[3,4,1,5,6,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>00000
[3,4,1,6,2,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>00000
[3,4,1,6,5,2]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>00000
[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>00000
[3,4,2,1,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>00000
[3,4,2,5,1,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>00000
[3,4,2,5,6,1]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>00000
[3,4,2,6,1,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>00000
[3,4,2,6,5,1]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>00000
[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[6,2,4,5,3,1]=>00000
[3,4,5,1,6,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>[6,1,4,5,2,3]=>00000
[3,4,5,2,1,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[6,2,4,5,3,1]=>00000
[3,4,5,2,6,1]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>[6,1,4,5,2,3]=>00000
[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[6,2,4,5,3,1]=>00000
[3,4,5,6,2,1]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[6,2,4,5,3,1]=>00000
[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]=>[6,2,4,5,1,3]=>00000
[3,4,6,1,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[6,1,4,5,3,2]=>00000
[3,4,6,2,1,5]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]=>[6,2,4,5,1,3]=>00000
[3,4,6,2,5,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[6,1,4,5,3,2]=>00000
[3,4,6,5,1,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[6,1,4,5,3,2]=>00000
[3,4,6,5,2,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[6,1,4,5,3,2]=>00000
[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>00000
[3,5,1,2,6,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>00000
[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>00000
[3,5,1,4,6,2]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>00000
[3,5,1,6,2,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>00000
[3,5,1,6,4,2]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>00000
[3,5,2,1,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>00000
[3,5,2,1,6,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>00000
[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>00000
[3,5,2,4,6,1]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>00000
[3,5,2,6,1,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>00000
[3,5,2,6,4,1]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>00000
[3,5,4,1,2,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>00000
[3,5,4,1,6,2]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>00000
[3,5,4,2,1,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>00000
[3,5,4,2,6,1]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>00000
[3,5,4,6,1,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>[6,1,4,3,5,2]=>00000
[3,5,4,6,2,1]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>[6,1,4,3,5,2]=>00000
[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>00000
[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>[6,1,4,2,5,3]=>00000
[3,5,6,2,1,4]=>[1,3,6,4,2,5]=>[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>00000
[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>[6,1,4,2,5,3]=>00000
[3,5,6,4,1,2]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>[6,1,4,2,5,3]=>00000
[3,5,6,4,2,1]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>[6,1,4,2,5,3]=>00000
[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]=>[6,4,5,2,1,3]=>00000
[3,6,1,2,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>00000
[3,6,1,4,2,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]=>[6,4,5,2,1,3]=>00000
[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>00000
[3,6,1,5,2,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>00000
[3,6,1,5,4,2]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>00000
[3,6,2,1,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]=>[6,4,5,2,1,3]=>00000
[3,6,2,1,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>00000
[3,6,2,4,1,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]=>[6,4,5,2,1,3]=>00000
[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>00000
[3,6,2,5,1,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>00000
[3,6,2,5,4,1]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>00000
[3,6,4,1,2,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>00000
[3,6,4,1,5,2]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>00000
[3,6,4,2,1,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>00000
[3,6,4,2,5,1]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>00000
[3,6,4,5,1,2]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>00000
[3,6,4,5,2,1]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>00000
[3,6,5,1,2,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[6,2,4,1,5,3]=>00000
[3,6,5,1,4,2]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]=>[6,3,4,2,5,1]=>00000
[3,6,5,2,1,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[6,2,4,1,5,3]=>00000
[3,6,5,2,4,1]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]=>[6,3,4,2,5,1]=>00000
[3,6,5,4,1,2]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[6,2,4,1,5,3]=>00000
[3,6,5,4,2,1]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[6,2,4,1,5,3]=>00000
[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>00000
[4,1,2,3,6,5]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>00000
[4,1,2,5,3,6]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]=>[6,4,2,3,5,1]=>00000
[4,1,2,5,6,3]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2]=>[6,4,1,3,2,5]=>00000
[4,1,2,6,3,5]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2]=>[6,4,2,3,1,5]=>00000
[4,1,2,6,5,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]=>[6,4,1,3,5,2]=>00000
[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>00000
[4,1,3,2,6,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>00000
[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>00000
[4,1,3,5,6,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>[6,1,5,3,2,4]=>00000
[4,1,3,6,2,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]=>[6,2,5,3,1,4]=>00000
[4,1,3,6,5,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>00000
[4,1,5,2,3,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>00000
[4,1,5,2,6,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>00000
[4,1,5,3,2,6]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>00000
[4,1,5,3,6,2]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>00000
[4,1,5,6,2,3]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2]=>[6,2,1,3,4,5]=>00000
[4,1,5,6,3,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>00000
[4,1,6,2,3,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>00000
[4,1,6,2,5,3]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>00000
[4,1,6,3,2,5]=>[1,4,3,6,5,2]=>[1,5,4,3,6,2]=>[6,2,3,4,1,5]=>00000
[4,1,6,3,5,2]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]=>[6,1,3,4,5,2]=>00000
[4,1,6,5,2,3]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>00000
[4,1,6,5,3,2]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>00000
[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>00000
[4,2,1,3,6,5]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>00000
[4,2,1,5,3,6]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]=>[6,4,2,3,5,1]=>00000
[4,2,1,5,6,3]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2]=>[6,4,1,3,2,5]=>00000
[4,2,1,6,3,5]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2]=>[6,4,2,3,1,5]=>00000
[4,2,1,6,5,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]=>[6,4,1,3,5,2]=>00000
[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>00000
[4,2,3,1,6,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>00000
[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>00000
[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>[6,1,5,3,2,4]=>00000
[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]=>[6,2,5,3,1,4]=>00000
[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>00000
[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>00000
[4,2,5,1,6,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>00000
[4,2,5,3,1,6]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>00000
[4,2,5,3,6,1]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>00000
[4,2,5,6,1,3]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2]=>[6,2,1,3,4,5]=>00000
[4,2,5,6,3,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>00000
[4,2,6,1,3,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>00000
[4,2,6,1,5,3]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>00000
[4,2,6,3,1,5]=>[1,4,3,6,5,2]=>[1,5,4,3,6,2]=>[6,2,3,4,1,5]=>00000
[4,2,6,3,5,1]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]=>[6,1,3,4,5,2]=>00000
[4,2,6,5,1,3]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>00000
[4,2,6,5,3,1]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>00000
[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>00000
[4,3,1,2,6,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>00000
[4,3,1,5,2,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>00000
[4,3,1,5,6,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>[6,1,5,3,2,4]=>00000
[4,3,1,6,2,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]=>[6,2,5,3,1,4]=>00000
[4,3,1,6,5,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>00000
[4,3,2,1,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>00000
[4,3,2,1,6,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>00000
[4,3,2,5,1,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>00000
[4,3,2,5,6,1]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>[6,1,5,3,2,4]=>00000
[4,3,2,6,1,5]=>[1,4,6,5,2,3]=>[1,5,2,4,6,3]=>[6,2,5,3,1,4]=>00000
[4,3,2,6,5,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>00000
[4,3,5,1,2,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>00000
[4,3,5,1,6,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>00000
[4,3,5,2,1,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>00000
[4,3,5,2,6,1]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>00000
[4,3,5,6,1,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>00000
[4,3,5,6,2,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>00000
[4,3,6,1,2,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>00000
[4,3,6,1,5,2]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>00000
[4,3,6,2,1,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>00000
[4,3,6,2,5,1]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>00000
[4,3,6,5,1,2]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>00000
[4,3,6,5,2,1]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>00000
[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>00000
[4,5,1,2,6,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>00000
[4,5,1,3,2,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>00000
[4,5,1,3,6,2]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>00000
[4,5,1,6,2,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]=>[6,4,1,3,5,2]=>00000
[4,5,1,6,3,2]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>[6,1,2,3,5,4]=>00000
[4,5,2,1,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>00000
[4,5,2,1,6,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>00000
[4,5,2,3,1,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>00000
[4,5,2,3,6,1]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>00000
[4,5,2,6,1,3]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]=>[6,4,1,3,5,2]=>00000
[4,5,2,6,3,1]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>[6,1,2,3,5,4]=>00000
[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>00000
[4,5,3,1,6,2]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>00000
[4,5,3,2,1,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>00000
[4,5,3,2,6,1]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>00000
[4,5,3,6,1,2]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>[6,1,2,3,5,4]=>00000
[4,5,3,6,2,1]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>[6,1,2,3,5,4]=>00000
[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>00000
[4,5,6,1,3,2]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>00000
[4,5,6,2,1,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>00000
[4,5,6,2,3,1]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>00000
[4,5,6,3,1,2]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]=>[6,1,3,4,5,2]=>00000
[4,5,6,3,2,1]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]=>[6,1,3,4,5,2]=>00000
[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]=>[6,3,2,5,1,4]=>00000
[4,6,1,2,5,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>00000
[4,6,1,3,2,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]=>[6,4,3,5,1,2]=>00000
[4,6,1,3,5,2]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]=>[6,4,3,5,1,2]=>00000
[4,6,1,5,2,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>00000
[4,6,1,5,3,2]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]=>[6,4,2,3,5,1]=>00000
[4,6,2,1,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]=>[6,3,2,5,1,4]=>00000
[4,6,2,1,5,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>00000
[4,6,2,3,1,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]=>[6,4,3,5,1,2]=>00000
[4,6,2,3,5,1]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]=>[6,4,3,5,1,2]=>00000
[4,6,2,5,1,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>00000
[4,6,2,5,3,1]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]=>[6,4,2,3,5,1]=>00000
[4,6,3,1,2,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]=>[6,3,2,5,1,4]=>00000
[4,6,3,1,5,2]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>00000
[4,6,3,2,1,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3]=>[6,3,2,5,1,4]=>00000
[4,6,3,2,5,1]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>00000
[4,6,3,5,1,2]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>00000
[4,6,3,5,2,1]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>00000
[4,6,5,1,2,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>00000
[4,6,5,1,3,2]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>00000
[4,6,5,2,1,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>00000
[4,6,5,2,3,1]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>00000
[4,6,5,3,1,2]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>00000
[4,6,5,3,2,1]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>00000
[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]=>[6,4,3,2,5,1]=>00000
[5,1,2,3,6,4]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2]=>[6,4,3,1,2,5]=>00000
[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>00000
[5,1,2,4,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>00000
[5,1,2,6,3,4]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>00000
[5,1,2,6,4,3]=>[1,5,4,6,3,2]=>[1,3,6,5,4,2]=>[6,4,1,2,3,5]=>00000
[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>00000
[5,1,3,2,6,4]=>[1,5,6,4,2,3]=>[1,4,2,6,5,3]=>[6,3,5,1,2,4]=>00000
[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>00000
[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>00000
[5,1,3,6,2,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>00000
[5,1,3,6,4,2]=>[1,5,4,6,2,3]=>[1,6,2,5,4,3]=>[6,1,5,2,3,4]=>00000
[5,1,4,2,3,6]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]=>[6,3,2,4,5,1]=>00000
[5,1,4,2,6,3]=>[1,5,6,3,4,2]=>[1,4,6,3,5,2]=>[6,3,1,4,2,5]=>00000
[5,1,4,3,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>00000
[5,1,4,3,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>00000
[5,1,4,6,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>00000
[5,1,4,6,3,2]=>[1,5,3,4,6,2]=>[1,6,5,3,4,2]=>[6,1,2,4,3,5]=>00000
[5,1,6,2,3,4]=>[1,5,3,6,4,2]=>[1,4,6,5,2,3]=>[6,3,1,2,5,4]=>00000
[5,1,6,2,4,3]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>00000
[5,1,6,3,2,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>00000
[5,1,6,3,4,2]=>[1,5,4,3,6,2]=>[1,6,4,5,3,2]=>[6,1,3,2,4,5]=>00000
[5,1,6,4,2,3]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>00000
[5,1,6,4,3,2]=>[1,5,3,6,2,4]=>[1,6,5,2,3,4]=>[6,1,2,5,4,3]=>00000
[5,2,1,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]=>[6,4,3,2,5,1]=>00000
[5,2,1,3,6,4]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2]=>[6,4,3,1,2,5]=>00000
[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>00000
[5,2,1,4,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>00000
[5,2,1,6,3,4]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>00000
[5,2,1,6,4,3]=>[1,5,4,6,3,2]=>[1,3,6,5,4,2]=>[6,4,1,2,3,5]=>00000
[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>00000
[5,2,3,1,6,4]=>[1,5,6,4,2,3]=>[1,4,2,6,5,3]=>[6,3,5,1,2,4]=>00000
[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>00000
[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>00000
[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>00000
[5,2,3,6,4,1]=>[1,5,4,6,2,3]=>[1,6,2,5,4,3]=>[6,1,5,2,3,4]=>00000
[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]=>[6,3,2,4,5,1]=>00000
[5,2,4,1,6,3]=>[1,5,6,3,4,2]=>[1,4,6,3,5,2]=>[6,3,1,4,2,5]=>00000
[5,2,4,3,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>00000
[5,2,4,3,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>00000
[5,2,4,6,1,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>00000
[5,2,4,6,3,1]=>[1,5,3,4,6,2]=>[1,6,5,3,4,2]=>[6,1,2,4,3,5]=>00000
[5,2,6,1,3,4]=>[1,5,3,6,4,2]=>[1,4,6,5,2,3]=>[6,3,1,2,5,4]=>00000
[5,2,6,1,4,3]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>00000
[5,2,6,3,1,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>00000
[5,2,6,3,4,1]=>[1,5,4,3,6,2]=>[1,6,4,5,3,2]=>[6,1,3,2,4,5]=>00000
[5,2,6,4,1,3]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>00000
[5,2,6,4,3,1]=>[1,5,3,6,2,4]=>[1,6,5,2,3,4]=>[6,1,2,5,4,3]=>00000
[5,3,1,2,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>00000
[5,3,1,2,6,4]=>[1,5,6,4,2,3]=>[1,4,2,6,5,3]=>[6,3,5,1,2,4]=>00000
[5,3,1,4,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>00000
[5,3,1,4,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>00000
[5,3,1,6,2,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>00000
[5,3,1,6,4,2]=>[1,5,4,6,2,3]=>[1,6,2,5,4,3]=>[6,1,5,2,3,4]=>00000
[5,3,2,1,4,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>00000
[5,3,2,1,6,4]=>[1,5,6,4,2,3]=>[1,4,2,6,5,3]=>[6,3,5,1,2,4]=>00000
[5,3,2,4,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>00000
[5,3,2,4,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>00000
[5,3,2,6,1,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>00000
[5,3,2,6,4,1]=>[1,5,4,6,2,3]=>[1,6,2,5,4,3]=>[6,1,5,2,3,4]=>00000
[5,3,4,1,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>00000
[5,3,4,1,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>00000
[5,3,4,2,1,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>00000
[5,3,4,2,6,1]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>00000
[5,3,4,6,1,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>00000
[5,3,4,6,2,1]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>00000
[5,3,6,1,2,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>00000
[5,3,6,1,4,2]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>00000
[5,3,6,2,1,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>00000
[5,3,6,2,4,1]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>00000
[5,3,6,4,1,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>00000
[5,3,6,4,2,1]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>00000
[5,4,1,2,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>00000
[5,4,1,2,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>00000
[5,4,1,3,2,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[6,2,3,5,4,1]=>00000
[5,4,1,3,6,2]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>[6,1,3,5,2,4]=>00000
[5,4,1,6,2,3]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>[6,2,1,5,3,4]=>00000
[5,4,1,6,3,2]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>00000
[5,4,2,1,3,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>00000
[5,4,2,1,6,3]=>[1,5,6,3,2,4]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>00000
[5,4,2,3,1,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[6,2,3,5,4,1]=>00000
[5,4,2,3,6,1]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>[6,1,3,5,2,4]=>00000
[5,4,2,6,1,3]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>[6,2,1,5,3,4]=>00000
[5,4,2,6,3,1]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>00000
[5,4,3,1,2,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[6,2,3,5,4,1]=>00000
[5,4,3,1,6,2]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>[6,1,3,5,2,4]=>00000
[5,4,3,2,1,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[6,2,3,5,4,1]=>00000
[5,4,3,2,6,1]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>[6,1,3,5,2,4]=>00000
[5,4,3,6,1,2]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>[6,2,1,5,3,4]=>00000
[5,4,3,6,2,1]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>[6,2,1,5,3,4]=>00000
[5,4,6,1,2,3]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[6,2,3,5,4,1]=>00000
[5,4,6,1,3,2]=>[1,5,3,6,2,4]=>[1,6,5,2,3,4]=>[6,1,2,5,4,3]=>00000
[5,4,6,2,1,3]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[6,2,3,5,4,1]=>00000
[5,4,6,2,3,1]=>[1,5,3,6,2,4]=>[1,6,5,2,3,4]=>[6,1,2,5,4,3]=>00000
[5,4,6,3,1,2]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[6,2,3,5,4,1]=>00000
[5,4,6,3,2,1]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[6,2,3,5,4,1]=>00000
[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]=>[6,4,2,1,5,3]=>00000
[5,6,1,2,4,3]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]=>[6,3,2,1,4,5]=>00000
[5,6,1,3,2,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]=>[6,2,3,1,5,4]=>00000
[5,6,1,3,4,2]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]=>[6,4,3,2,5,1]=>00000
[5,6,1,4,2,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[6,2,1,4,5,3]=>00000
[5,6,1,4,3,2]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]=>[6,4,2,1,5,3]=>00000
[5,6,2,1,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]=>[6,4,2,1,5,3]=>00000
[5,6,2,1,4,3]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]=>[6,3,2,1,4,5]=>00000
[5,6,2,3,1,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]=>[6,2,3,1,5,4]=>00000
[5,6,2,3,4,1]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]=>[6,4,3,2,5,1]=>00000
[5,6,2,4,1,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[6,2,1,4,5,3]=>00000
[5,6,2,4,3,1]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4]=>[6,4,2,1,5,3]=>00000
[5,6,3,1,2,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]=>[6,2,3,1,5,4]=>00000
[5,6,3,1,4,2]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]=>[6,3,2,1,4,5]=>00000
[5,6,3,2,1,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3]=>[6,2,3,1,5,4]=>00000
[5,6,3,2,4,1]=>[1,5,4,2,6,3]=>[1,4,5,6,3,2]=>[6,3,2,1,4,5]=>00000
[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[6,2,1,4,5,3]=>00000
[5,6,3,4,2,1]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[6,2,1,4,5,3]=>00000
[5,6,4,1,2,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[6,2,1,4,5,3]=>00000
[5,6,4,1,3,2]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]=>[6,3,2,4,5,1]=>00000
[5,6,4,2,1,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[6,2,1,4,5,3]=>00000
[5,6,4,2,3,1]=>[1,5,3,4,2,6]=>[1,4,5,3,2,6]=>[6,3,2,4,5,1]=>00000
[5,6,4,3,1,2]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[6,2,1,4,5,3]=>00000
[5,6,4,3,2,1]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[6,2,1,4,5,3]=>00000
[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]=>[6,4,3,2,1,5]=>00000
[6,1,2,3,5,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]=>[6,4,3,1,5,2]=>00000
[6,1,2,4,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]=>[6,4,2,5,1,3]=>00000
[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>00000
[6,1,2,5,3,4]=>[1,6,4,5,3,2]=>[1,3,5,6,4,2]=>[6,4,2,1,3,5]=>00000
[6,1,2,5,4,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>00000
[6,1,3,2,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]=>[6,3,5,2,1,4]=>00000
[6,1,3,2,5,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>00000
[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>00000
[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>00000
[6,1,3,5,2,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]=>[6,2,5,1,3,4]=>00000
[6,1,3,5,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>00000
[6,1,4,2,3,5]=>[1,6,5,3,4,2]=>[1,4,5,3,6,2]=>[6,3,2,4,1,5]=>00000
[6,1,4,2,5,3]=>[1,6,3,4,2,5]=>[1,4,6,3,2,5]=>[6,3,1,4,5,2]=>00000
[6,1,4,3,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>00000
[6,1,4,3,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>00000
[6,1,4,5,2,3]=>[1,6,3,4,5,2]=>[1,5,6,3,4,2]=>[6,2,1,4,3,5]=>00000
[6,1,4,5,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>00000
[6,1,5,2,3,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>00000
[6,1,5,2,4,3]=>[1,6,3,5,4,2]=>[1,4,5,6,2,3]=>[6,3,2,1,5,4]=>00000
[6,1,5,3,2,4]=>[1,6,4,3,5,2]=>[1,5,4,6,3,2]=>[6,2,3,1,4,5]=>00000
[6,1,5,3,4,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>00000
[6,1,5,4,2,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>00000
[6,1,5,4,3,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>00000
[6,2,1,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]=>[6,4,3,2,1,5]=>00000
[6,2,1,3,5,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]=>[6,4,3,1,5,2]=>00000
[6,2,1,4,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]=>[6,4,2,5,1,3]=>00000
[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>00000
[6,2,1,5,3,4]=>[1,6,4,5,3,2]=>[1,3,5,6,4,2]=>[6,4,2,1,3,5]=>00000
[6,2,1,5,4,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>00000
[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]=>[6,3,5,2,1,4]=>00000
[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>00000
[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>00000
[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>00000
[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]=>[6,2,5,1,3,4]=>00000
[6,2,3,5,4,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>00000
[6,2,4,1,3,5]=>[1,6,5,3,4,2]=>[1,4,5,3,6,2]=>[6,3,2,4,1,5]=>00000
[6,2,4,1,5,3]=>[1,6,3,4,2,5]=>[1,4,6,3,2,5]=>[6,3,1,4,5,2]=>00000
[6,2,4,3,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>00000
[6,2,4,3,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>00000
[6,2,4,5,1,3]=>[1,6,3,4,5,2]=>[1,5,6,3,4,2]=>[6,2,1,4,3,5]=>00000
[6,2,4,5,3,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>00000
[6,2,5,1,3,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>00000
[6,2,5,1,4,3]=>[1,6,3,5,4,2]=>[1,4,5,6,2,3]=>[6,3,2,1,5,4]=>00000
[6,2,5,3,1,4]=>[1,6,4,3,5,2]=>[1,5,4,6,3,2]=>[6,2,3,1,4,5]=>00000
[6,2,5,3,4,1]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>00000
[6,2,5,4,1,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>00000
[6,2,5,4,3,1]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>00000
[6,3,1,2,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]=>[6,3,5,2,1,4]=>00000
[6,3,1,2,5,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>00000
[6,3,1,4,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>00000
[6,3,1,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>00000
[6,3,1,5,2,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]=>[6,2,5,1,3,4]=>00000
[6,3,1,5,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>00000
[6,3,2,1,4,5]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]=>[6,3,5,2,1,4]=>00000
[6,3,2,1,5,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>00000
[6,3,2,4,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>00000
[6,3,2,4,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>00000
[6,3,2,5,1,4]=>[1,6,4,5,2,3]=>[1,5,2,6,4,3]=>[6,2,5,1,3,4]=>00000
[6,3,2,5,4,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>00000
[6,3,4,1,2,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>00000
[6,3,4,1,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>00000
[6,3,4,2,1,5]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>00000
[6,3,4,2,5,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>00000
[6,3,4,5,1,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>00000
[6,3,4,5,2,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>00000
[6,3,5,1,2,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>00000
[6,3,5,1,4,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>00000
[6,3,5,2,1,4]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>00000
[6,3,5,2,4,1]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>00000
[6,3,5,4,1,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>00000
[6,3,5,4,2,1]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>00000
[6,4,1,2,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]=>[6,4,2,5,1,3]=>00000
[6,4,1,2,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>00000
[6,4,1,3,2,5]=>[1,6,5,2,4,3]=>[1,5,4,2,6,3]=>[6,2,3,5,1,4]=>00000
[6,4,1,3,5,2]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[6,1,3,5,4,2]=>00000
[6,4,1,5,2,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>00000
[6,4,1,5,3,2]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>[6,1,2,5,3,4]=>00000
[6,4,2,1,3,5]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]=>[6,4,2,5,1,3]=>00000
[6,4,2,1,5,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>00000
[6,4,2,3,1,5]=>[1,6,5,2,4,3]=>[1,5,4,2,6,3]=>[6,2,3,5,1,4]=>00000
[6,4,2,3,5,1]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[6,1,3,5,4,2]=>00000
[6,4,2,5,1,3]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>00000
[6,4,2,5,3,1]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>[6,1,2,5,3,4]=>00000
[6,4,3,1,2,5]=>[1,6,5,2,4,3]=>[1,5,4,2,6,3]=>[6,2,3,5,1,4]=>00000
[6,4,3,1,5,2]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[6,1,3,5,4,2]=>00000
[6,4,3,2,1,5]=>[1,6,5,2,4,3]=>[1,5,4,2,6,3]=>[6,2,3,5,1,4]=>00000
[6,4,3,2,5,1]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[6,1,3,5,4,2]=>00000
[6,4,3,5,1,2]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>[6,1,2,5,3,4]=>00000
[6,4,3,5,2,1]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>[6,1,2,5,3,4]=>00000
[6,4,5,1,2,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>00000
[6,4,5,1,3,2]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[6,1,3,5,4,2]=>00000
[6,4,5,2,1,3]=>[1,6,3,5,2,4]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>00000
[6,4,5,2,3,1]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[6,1,3,5,4,2]=>00000
[6,4,5,3,1,2]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[6,1,3,5,4,2]=>00000
[6,4,5,3,2,1]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[6,1,3,5,4,2]=>00000
[6,5,1,2,3,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]=>[6,3,1,2,4,5]=>00000
[6,5,1,2,4,3]=>[1,6,3,2,5,4]=>[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>00000
[6,5,1,3,2,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]=>[6,4,3,1,5,2]=>00000
[6,5,1,3,4,2]=>[1,6,2,5,4,3]=>[1,6,4,5,2,3]=>[6,1,3,2,5,4]=>00000
[6,5,1,4,2,3]=>[1,6,3,2,5,4]=>[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>00000
[6,5,1,4,3,2]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[6,1,2,4,5,3]=>00000
[6,5,2,1,3,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]=>[6,3,1,2,4,5]=>00000
[6,5,2,1,4,3]=>[1,6,3,2,5,4]=>[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>00000
[6,5,2,3,1,4]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]=>[6,4,3,1,5,2]=>00000
[6,5,2,3,4,1]=>[1,6,2,5,4,3]=>[1,6,4,5,2,3]=>[6,1,3,2,5,4]=>00000
[6,5,2,4,1,3]=>[1,6,3,2,5,4]=>[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>00000
[6,5,2,4,3,1]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[6,1,2,4,5,3]=>00000
[6,5,3,1,2,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]=>[6,3,1,2,4,5]=>00000
[6,5,3,1,4,2]=>[1,6,2,5,4,3]=>[1,6,4,5,2,3]=>[6,1,3,2,5,4]=>00000
[6,5,3,2,1,4]=>[1,6,4,2,5,3]=>[1,4,6,5,3,2]=>[6,3,1,2,4,5]=>00000
[6,5,3,2,4,1]=>[1,6,2,5,4,3]=>[1,6,4,5,2,3]=>[6,1,3,2,5,4]=>00000
[6,5,3,4,1,2]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[6,1,2,4,5,3]=>00000
[6,5,3,4,2,1]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[6,1,2,4,5,3]=>00000
[6,5,4,1,2,3]=>[1,6,3,4,2,5]=>[1,4,6,3,2,5]=>[6,3,1,4,5,2]=>00000
[6,5,4,1,3,2]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[6,1,2,4,5,3]=>00000
[6,5,4,2,1,3]=>[1,6,3,4,2,5]=>[1,4,6,3,2,5]=>[6,3,1,4,5,2]=>00000
[6,5,4,2,3,1]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[6,1,2,4,5,3]=>00000
[6,5,4,3,1,2]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[6,1,2,4,5,3]=>00000
[6,5,4,3,2,1]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[6,1,2,4,5,3]=>00000
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,2,3,4,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,2,3,4,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,2,3,4,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,2,3,4,7,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[1,2,3,4,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[1,2,3,5,4,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,2,3,5,4,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,2,3,5,6,4,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,2,3,5,6,7,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,2,3,5,7,4,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[1,2,3,5,7,6,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[1,2,3,6,4,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[1,2,3,6,4,7,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>000000
[1,2,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[1,2,3,6,5,7,4]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>000000
[1,2,3,6,7,4,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[1,2,3,6,7,5,4]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[1,2,3,7,4,5,6]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>000000
[1,2,3,7,4,6,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[1,2,3,7,5,4,6]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>000000
[1,2,3,7,5,6,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[1,2,3,7,6,4,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[1,2,3,7,6,5,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[1,2,4,3,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,2,4,3,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,2,4,3,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,2,4,3,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,2,4,3,7,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[1,2,4,3,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[1,2,4,5,3,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,2,4,5,3,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,2,4,5,6,3,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,2,4,5,6,7,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,2,4,5,7,3,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[1,2,4,5,7,6,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[1,2,4,6,3,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[1,2,4,6,3,7,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>000000
[1,2,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[1,2,4,6,5,7,3]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>000000
[1,2,4,6,7,3,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[1,2,4,6,7,5,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[1,2,4,7,3,5,6]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>000000
[1,2,4,7,3,6,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[1,2,4,7,5,3,6]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>000000
[1,2,4,7,5,6,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[1,2,4,7,6,3,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[1,2,4,7,6,5,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[1,2,5,3,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[1,2,5,3,4,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[1,2,5,3,6,4,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>000000
[1,2,5,3,6,7,4]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>000000
[1,2,5,3,7,4,6]=>[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4]=>[7,6,5,2,3,1,4]=>000000
[1,2,5,3,7,6,4]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>000000
[1,2,5,4,3,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[1,2,5,4,3,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[1,2,5,4,6,3,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>000000
[1,2,5,4,6,7,3]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>000000
[1,2,5,4,7,3,6]=>[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4]=>[7,6,5,2,3,1,4]=>000000
[1,2,5,4,7,6,3]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>000000
[1,2,5,6,3,4,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[1,2,5,6,3,7,4]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[1,2,5,6,4,3,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[1,2,5,6,4,7,3]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[1,2,5,6,7,3,4]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>000000
[1,2,5,6,7,4,3]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>000000
[1,2,5,7,3,4,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>000000
[1,2,5,7,3,6,4]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>000000
[1,2,5,7,4,3,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>000000
[1,2,5,7,4,6,3]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>000000
[1,2,5,7,6,3,4]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>000000
[1,2,5,7,6,4,3]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>000000
[1,2,6,3,4,5,7]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>000000
[1,2,6,3,4,7,5]=>[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4]=>[7,6,5,3,1,2,4]=>000000
[1,2,6,3,5,4,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[1,2,6,3,5,7,4]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>000000
[1,2,6,3,7,4,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[1,2,6,3,7,5,4]=>[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>000000
[1,2,6,4,3,5,7]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>000000
[1,2,6,4,3,7,5]=>[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4]=>[7,6,5,3,1,2,4]=>000000
[1,2,6,4,5,3,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[1,2,6,4,5,7,3]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>000000
[1,2,6,4,7,3,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[1,2,6,4,7,5,3]=>[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>000000
[1,2,6,5,3,4,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[1,2,6,5,3,7,4]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>000000
[1,2,6,5,4,3,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[1,2,6,5,4,7,3]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>000000
[1,2,6,5,7,3,4]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[1,2,6,5,7,4,3]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[1,2,6,7,3,4,5]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>000000
[1,2,6,7,3,5,4]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>000000
[1,2,6,7,4,3,5]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>000000
[1,2,6,7,4,5,3]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>000000
[1,2,6,7,5,3,4]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>000000
[1,2,6,7,5,4,3]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>000000
[1,2,7,3,4,5,6]=>[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4]=>[7,6,5,3,2,1,4]=>000000
[1,2,7,3,4,6,5]=>[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>000000
[1,2,7,3,5,4,6]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>000000
[1,2,7,3,5,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[1,2,7,3,6,4,5]=>[1,2,3,7,5,6,4]=>[1,2,3,6,7,5,4]=>[7,6,5,2,1,3,4]=>000000
[1,2,7,3,6,5,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[1,2,7,4,3,5,6]=>[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4]=>[7,6,5,3,2,1,4]=>000000
[1,2,7,4,3,6,5]=>[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>000000
[1,2,7,4,5,3,6]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>000000
[1,2,7,4,5,6,3]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[1,2,7,4,6,3,5]=>[1,2,3,7,5,6,4]=>[1,2,3,6,7,5,4]=>[7,6,5,2,1,3,4]=>000000
[1,2,7,4,6,5,3]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[1,2,7,5,3,4,6]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>000000
[1,2,7,5,3,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[1,2,7,5,4,3,6]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>000000
[1,2,7,5,4,6,3]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[1,2,7,5,6,3,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[1,2,7,5,6,4,3]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[1,2,7,6,3,4,5]=>[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>000000
[1,2,7,6,3,5,4]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>000000
[1,2,7,6,4,3,5]=>[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>000000
[1,2,7,6,4,5,3]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>000000
[1,2,7,6,5,3,4]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>000000
[1,2,7,6,5,4,3]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>000000
[1,3,2,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,3,2,4,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,3,2,4,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,3,2,4,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,3,2,4,7,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[1,3,2,4,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[1,3,2,5,4,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,3,2,5,4,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,3,2,5,6,4,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,3,2,5,6,7,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,3,2,5,7,4,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[1,3,2,5,7,6,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[1,3,2,6,4,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[1,3,2,6,4,7,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>000000
[1,3,2,6,5,4,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[1,3,2,6,5,7,4]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>000000
[1,3,2,6,7,4,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[1,3,2,6,7,5,4]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[1,3,2,7,4,5,6]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>000000
[1,3,2,7,4,6,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[1,3,2,7,5,4,6]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>000000
[1,3,2,7,5,6,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[1,3,2,7,6,4,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[1,3,2,7,6,5,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[1,3,4,2,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,3,4,2,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,3,4,2,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,3,4,2,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,3,4,2,7,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[1,3,4,2,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[1,3,4,5,2,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,3,4,5,2,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,3,4,5,6,2,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,3,4,5,6,7,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[1,3,4,5,7,2,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[1,3,4,5,7,6,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[1,3,4,6,2,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[1,3,4,6,2,7,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>000000
[1,3,4,6,5,2,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[1,3,4,6,5,7,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>000000
[1,3,4,6,7,2,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[1,3,4,6,7,5,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[1,3,4,7,2,5,6]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>000000
[1,3,4,7,2,6,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[1,3,4,7,5,2,6]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>000000
[1,3,4,7,5,6,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[1,3,4,7,6,2,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[1,3,4,7,6,5,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[1,3,5,2,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[1,3,5,2,4,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[1,3,5,2,6,4,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>000000
[1,3,5,2,6,7,4]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>000000
[1,3,5,2,7,4,6]=>[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4]=>[7,6,5,2,3,1,4]=>000000
[1,3,5,2,7,6,4]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>000000
[1,3,5,4,2,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[1,3,5,4,2,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[1,3,5,4,6,2,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>000000
[1,3,5,4,6,7,2]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>000000
[1,3,5,4,7,2,6]=>[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4]=>[7,6,5,2,3,1,4]=>000000
[1,3,5,4,7,6,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>000000
[1,3,5,6,2,4,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[1,3,5,6,2,7,4]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[1,3,5,6,4,2,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[1,3,5,6,4,7,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[1,3,5,6,7,2,4]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>000000
[1,3,5,6,7,4,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>000000
[1,3,5,7,2,4,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>000000
[1,3,5,7,2,6,4]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>000000
[1,3,5,7,4,2,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>000000
[1,3,5,7,4,6,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>000000
[1,3,5,7,6,2,4]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>000000
[1,3,5,7,6,4,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>000000
[1,3,6,2,4,5,7]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>000000
[1,3,6,2,4,7,5]=>[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4]=>[7,6,5,3,1,2,4]=>000000
[1,3,6,2,5,4,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[1,3,6,2,5,7,4]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>000000
[1,3,6,2,7,4,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[1,3,6,2,7,5,4]=>[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>000000
[1,3,6,4,2,5,7]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>000000
[1,3,6,4,2,7,5]=>[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4]=>[7,6,5,3,1,2,4]=>000000
[1,3,6,4,5,2,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[1,3,6,4,5,7,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>000000
[1,3,6,4,7,2,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[1,3,6,4,7,5,2]=>[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>000000
[1,3,6,5,2,4,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[1,3,6,5,2,7,4]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>000000
[1,3,6,5,4,2,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[1,3,6,5,4,7,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>000000
[1,3,6,5,7,2,4]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[1,3,6,5,7,4,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[1,3,6,7,2,4,5]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>000000
[1,3,6,7,2,5,4]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>000000
[1,3,6,7,4,2,5]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>000000
[1,3,6,7,4,5,2]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>000000
[1,3,6,7,5,2,4]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>000000
[1,3,6,7,5,4,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>000000
[1,3,7,2,4,5,6]=>[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4]=>[7,6,5,3,2,1,4]=>000000
[1,3,7,2,4,6,5]=>[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>000000
[1,3,7,2,5,4,6]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>000000
[1,3,7,2,5,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[1,3,7,2,6,4,5]=>[1,2,3,7,5,6,4]=>[1,2,3,6,7,5,4]=>[7,6,5,2,1,3,4]=>000000
[1,3,7,2,6,5,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[1,3,7,4,2,5,6]=>[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4]=>[7,6,5,3,2,1,4]=>000000
[1,3,7,4,2,6,5]=>[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>000000
[1,3,7,4,5,2,6]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>000000
[1,3,7,4,5,6,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[1,3,7,4,6,2,5]=>[1,2,3,7,5,6,4]=>[1,2,3,6,7,5,4]=>[7,6,5,2,1,3,4]=>000000
[1,3,7,4,6,5,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[1,3,7,5,2,4,6]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>000000
[1,3,7,5,2,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[1,3,7,5,4,2,6]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>000000
[1,3,7,5,4,6,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[1,3,7,5,6,2,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[1,3,7,5,6,4,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[1,3,7,6,2,4,5]=>[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>000000
[1,3,7,6,2,5,4]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>000000
[1,3,7,6,4,2,5]=>[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>000000
[1,3,7,6,4,5,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>000000
[1,3,7,6,5,2,4]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>000000
[1,3,7,6,5,4,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>000000
[1,4,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[1,4,2,3,5,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[1,4,2,3,6,5,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[1,4,2,3,6,7,5]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[1,4,2,3,7,5,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>000000
[1,4,2,3,7,6,5]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>000000
[1,4,2,5,3,6,7]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000
[1,4,2,5,3,7,6]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000
[1,4,2,5,6,3,7]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>000000
[1,4,2,5,6,7,3]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>000000
[1,4,2,5,7,3,6]=>[1,2,4,5,7,6,3]=>[1,2,6,4,5,7,3]=>[7,6,2,4,3,1,5]=>000000
[1,4,2,5,7,6,3]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[7,6,1,4,3,5,2]=>000000
[1,4,2,6,3,5,7]=>[1,2,4,6,5,3,7]=>[1,2,5,4,6,3,7]=>[7,6,3,4,2,5,1]=>000000
[1,4,2,6,3,7,5]=>[1,2,4,6,7,5,3]=>[1,2,5,4,7,6,3]=>[7,6,3,4,1,2,5]=>000000
[1,4,2,6,5,3,7]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>000000
[1,4,2,6,5,7,3]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>000000
[1,4,2,6,7,3,5]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>000000
[1,4,2,6,7,5,3]=>[1,2,4,6,5,7,3]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>000000
[1,4,2,7,3,5,6]=>[1,2,4,7,6,5,3]=>[1,2,5,4,6,7,3]=>[7,6,3,4,2,1,5]=>000000
[1,4,2,7,3,6,5]=>[1,2,4,7,5,3,6]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>000000
[1,4,2,7,5,3,6]=>[1,2,4,7,6,3,5]=>[1,2,6,4,3,7,5]=>[7,6,2,4,5,1,3]=>000000
[1,4,2,7,5,6,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>000000
[1,4,2,7,6,3,5]=>[1,2,4,7,5,6,3]=>[1,2,6,4,7,5,3]=>[7,6,2,4,1,3,5]=>000000
[1,4,2,7,6,5,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>000000
[1,4,3,2,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[1,4,3,2,5,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[1,4,3,2,6,5,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[1,4,3,2,6,7,5]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[1,4,3,2,7,5,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>000000
[1,4,3,2,7,6,5]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>000000
[1,4,3,5,2,6,7]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000
[1,4,3,5,2,7,6]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000
[1,4,3,5,6,2,7]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>000000
[1,4,3,5,6,7,2]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>000000
[1,4,3,5,7,2,6]=>[1,2,4,5,7,6,3]=>[1,2,6,4,5,7,3]=>[7,6,2,4,3,1,5]=>000000
[1,4,3,5,7,6,2]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[7,6,1,4,3,5,2]=>000000
[1,4,3,6,2,5,7]=>[1,2,4,6,5,3,7]=>[1,2,5,4,6,3,7]=>[7,6,3,4,2,5,1]=>000000
[1,4,3,6,2,7,5]=>[1,2,4,6,7,5,3]=>[1,2,5,4,7,6,3]=>[7,6,3,4,1,2,5]=>000000
[1,4,3,6,5,2,7]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>000000
[1,4,3,6,5,7,2]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>000000
[1,4,3,6,7,2,5]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>000000
[1,4,3,6,7,5,2]=>[1,2,4,6,5,7,3]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>000000
[1,4,3,7,2,5,6]=>[1,2,4,7,6,5,3]=>[1,2,5,4,6,7,3]=>[7,6,3,4,2,1,5]=>000000
[1,4,3,7,2,6,5]=>[1,2,4,7,5,3,6]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>000000
[1,4,3,7,5,2,6]=>[1,2,4,7,6,3,5]=>[1,2,6,4,3,7,5]=>[7,6,2,4,5,1,3]=>000000
[1,4,3,7,5,6,2]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>000000
[1,4,3,7,6,2,5]=>[1,2,4,7,5,6,3]=>[1,2,6,4,7,5,3]=>[7,6,2,4,1,3,5]=>000000
[1,4,3,7,6,5,2]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>000000
[1,4,5,2,3,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[1,4,5,2,3,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[1,4,5,2,6,3,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[1,4,5,2,6,7,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[1,4,5,2,7,3,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>000000
[1,4,5,2,7,6,3]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>000000
[1,4,5,3,2,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[1,4,5,3,2,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[1,4,5,3,6,2,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[1,4,5,3,6,7,2]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[1,4,5,3,7,2,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>000000
[1,4,5,3,7,6,2]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>000000
[1,4,5,6,2,3,7]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>000000
[1,4,5,6,2,7,3]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>000000
[1,4,5,6,3,2,7]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>000000
[1,4,5,6,3,7,2]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>000000
[1,4,5,6,7,2,3]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>000000
[1,4,5,6,7,3,2]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>000000
[1,4,5,7,2,3,6]=>[1,2,4,7,6,3,5]=>[1,2,6,4,3,7,5]=>[7,6,2,4,5,1,3]=>000000
[1,4,5,7,2,6,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>000000
[1,4,5,7,3,2,6]=>[1,2,4,7,6,3,5]=>[1,2,6,4,3,7,5]=>[7,6,2,4,5,1,3]=>000000
[1,4,5,7,3,6,2]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>000000
[1,4,5,7,6,2,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>000000
[1,4,5,7,6,3,2]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>000000
[1,4,6,2,3,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>000000
[1,4,6,2,3,7,5]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>000000
[1,4,6,2,5,3,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>000000
[1,4,6,2,5,7,3]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>000000
[1,4,6,2,7,3,5]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>000000
[1,4,6,2,7,5,3]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>000000
[1,4,6,3,2,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>000000
[1,4,6,3,2,7,5]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>000000
[1,4,6,3,5,2,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>000000
[1,4,6,3,5,7,2]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>000000
[1,4,6,3,7,2,5]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>000000
[1,4,6,3,7,5,2]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>000000
[1,4,6,5,2,3,7]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000
[1,4,6,5,2,7,3]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000
[1,4,6,5,3,2,7]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000
[1,4,6,5,3,7,2]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000
[1,4,6,5,7,2,3]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[7,6,1,4,3,5,2]=>000000
[1,4,6,5,7,3,2]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[7,6,1,4,3,5,2]=>000000
[1,4,6,7,2,3,5]=>[1,2,4,7,5,3,6]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>000000
[1,4,6,7,2,5,3]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>000000
[1,4,6,7,3,2,5]=>[1,2,4,7,5,3,6]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>000000
[1,4,6,7,3,5,2]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>000000
[1,4,6,7,5,2,3]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>000000
[1,4,6,7,5,3,2]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>000000
[1,4,7,2,3,5,6]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]=>[7,6,4,5,2,1,3]=>000000
[1,4,7,2,3,6,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>000000
[1,4,7,2,5,3,6]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]=>[7,6,4,5,2,1,3]=>000000
[1,4,7,2,5,6,3]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>000000
[1,4,7,2,6,3,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>000000
[1,4,7,2,6,5,3]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>000000
[1,4,7,3,2,5,6]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]=>[7,6,4,5,2,1,3]=>000000
[1,4,7,3,2,6,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>000000
[1,4,7,3,5,2,6]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]=>[7,6,4,5,2,1,3]=>000000
[1,4,7,3,5,6,2]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>000000
[1,4,7,3,6,2,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>000000
[1,4,7,3,6,5,2]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>000000
[1,4,7,5,2,3,6]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>000000
[1,4,7,5,2,6,3]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>000000
[1,4,7,5,3,2,6]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>000000
[1,4,7,5,3,6,2]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>000000
[1,4,7,5,6,2,3]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>000000
[1,4,7,5,6,3,2]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>000000
[1,4,7,6,2,3,5]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>000000
[1,4,7,6,2,5,3]=>[1,2,4,6,5,3,7]=>[1,2,5,4,6,3,7]=>[7,6,3,4,2,5,1]=>000000
[1,4,7,6,3,2,5]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>000000
[1,4,7,6,3,5,2]=>[1,2,4,6,5,3,7]=>[1,2,5,4,6,3,7]=>[7,6,3,4,2,5,1]=>000000
[1,4,7,6,5,2,3]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>000000
[1,4,7,6,5,3,2]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>000000
[1,5,2,3,4,6,7]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>000000
[1,5,2,3,4,7,6]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>000000
[1,5,2,3,6,4,7]=>[1,2,5,6,4,3,7]=>[1,2,4,6,5,3,7]=>[7,6,4,2,3,5,1]=>000000
[1,5,2,3,6,7,4]=>[1,2,5,6,7,4,3]=>[1,2,4,7,5,6,3]=>[7,6,4,1,3,2,5]=>000000
[1,5,2,3,7,4,6]=>[1,2,5,7,6,4,3]=>[1,2,4,6,5,7,3]=>[7,6,4,2,3,1,5]=>000000
[1,5,2,3,7,6,4]=>[1,2,5,7,4,3,6]=>[1,2,4,7,5,3,6]=>[7,6,4,1,3,5,2]=>000000
[1,5,2,4,3,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[1,5,2,4,3,7,6]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[1,5,2,4,6,3,7]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>000000
[1,5,2,4,6,7,3]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[7,6,1,5,3,2,4]=>000000
[1,5,2,4,7,3,6]=>[1,2,5,7,6,3,4]=>[1,2,6,3,5,7,4]=>[7,6,2,5,3,1,4]=>000000
[1,5,2,4,7,6,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>000000
[1,5,2,6,3,4,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[1,5,2,6,3,7,4]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[1,5,2,6,4,3,7]=>[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>000000
[1,5,2,6,4,7,3]=>[1,2,5,4,6,7,3]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>000000
[1,5,2,6,7,3,4]=>[1,2,5,7,4,6,3]=>[1,2,6,7,5,4,3]=>[7,6,2,1,3,4,5]=>000000
[1,5,2,6,7,4,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>000000
[1,5,2,7,3,4,6]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>000000
[1,5,2,7,3,6,4]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>000000
[1,5,2,7,4,3,6]=>[1,2,5,4,7,6,3]=>[1,2,6,5,4,7,3]=>[7,6,2,3,4,1,5]=>000000
[1,5,2,7,4,6,3]=>[1,2,5,4,7,3,6]=>[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>000000
[1,5,2,7,6,3,4]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>000000
[1,5,2,7,6,4,3]=>[1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>000000
[1,5,3,2,4,6,7]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>000000
[1,5,3,2,4,7,6]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>000000
[1,5,3,2,6,4,7]=>[1,2,5,6,4,3,7]=>[1,2,4,6,5,3,7]=>[7,6,4,2,3,5,1]=>000000
[1,5,3,2,6,7,4]=>[1,2,5,6,7,4,3]=>[1,2,4,7,5,6,3]=>[7,6,4,1,3,2,5]=>000000
[1,5,3,2,7,4,6]=>[1,2,5,7,6,4,3]=>[1,2,4,6,5,7,3]=>[7,6,4,2,3,1,5]=>000000
[1,5,3,2,7,6,4]=>[1,2,5,7,4,3,6]=>[1,2,4,7,5,3,6]=>[7,6,4,1,3,5,2]=>000000
[1,5,3,4,2,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[1,5,3,4,2,7,6]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[1,5,3,4,6,2,7]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>000000
[1,5,3,4,6,7,2]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[7,6,1,5,3,2,4]=>000000
[1,5,3,4,7,2,6]=>[1,2,5,7,6,3,4]=>[1,2,6,3,5,7,4]=>[7,6,2,5,3,1,4]=>000000
[1,5,3,4,7,6,2]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>000000
[1,5,3,6,2,4,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[1,5,3,6,2,7,4]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[1,5,3,6,4,2,7]=>[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>000000
[1,5,3,6,4,7,2]=>[1,2,5,4,6,7,3]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>000000
[1,5,3,6,7,2,4]=>[1,2,5,7,4,6,3]=>[1,2,6,7,5,4,3]=>[7,6,2,1,3,4,5]=>000000
[1,5,3,6,7,4,2]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>000000
[1,5,3,7,2,4,6]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>000000
[1,5,3,7,2,6,4]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>000000
[1,5,3,7,4,2,6]=>[1,2,5,4,7,6,3]=>[1,2,6,5,4,7,3]=>[7,6,2,3,4,1,5]=>000000
[1,5,3,7,4,6,2]=>[1,2,5,4,7,3,6]=>[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>000000
[1,5,3,7,6,2,4]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>000000
[1,5,3,7,6,4,2]=>[1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>000000
[1,5,4,2,3,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[1,5,4,2,3,7,6]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[1,5,4,2,6,3,7]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>000000
[1,5,4,2,6,7,3]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[7,6,1,5,3,2,4]=>000000
[1,5,4,2,7,3,6]=>[1,2,5,7,6,3,4]=>[1,2,6,3,5,7,4]=>[7,6,2,5,3,1,4]=>000000
[1,5,4,2,7,6,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>000000
[1,5,4,3,2,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[1,5,4,3,2,7,6]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[1,5,4,3,6,2,7]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>000000
[1,5,4,3,6,7,2]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[7,6,1,5,3,2,4]=>000000
[1,5,4,3,7,2,6]=>[1,2,5,7,6,3,4]=>[1,2,6,3,5,7,4]=>[7,6,2,5,3,1,4]=>000000
[1,5,4,3,7,6,2]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>000000
[1,5,4,6,2,3,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[1,5,4,6,2,7,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[1,5,4,6,3,2,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[1,5,4,6,3,7,2]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[1,5,4,6,7,2,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>000000
[1,5,4,6,7,3,2]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>000000
[1,5,4,7,2,3,6]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>000000
[1,5,4,7,2,6,3]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>000000
[1,5,4,7,3,2,6]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>000000
[1,5,4,7,3,6,2]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>000000
[1,5,4,7,6,2,3]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>000000
[1,5,4,7,6,3,2]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>000000
[1,5,6,2,3,4,7]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>000000
[1,5,6,2,3,7,4]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>000000
[1,5,6,2,4,3,7]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>000000
[1,5,6,2,4,7,3]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>000000
[1,5,6,2,7,3,4]=>[1,2,5,7,4,3,6]=>[1,2,4,7,5,3,6]=>[7,6,4,1,3,5,2]=>000000
[1,5,6,2,7,4,3]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>000000
[1,5,6,3,2,4,7]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>000000
[1,5,6,3,2,7,4]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>000000
[1,5,6,3,4,2,7]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>000000
[1,5,6,3,4,7,2]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>000000
[1,5,6,3,7,2,4]=>[1,2,5,7,4,3,6]=>[1,2,4,7,5,3,6]=>[7,6,4,1,3,5,2]=>000000
[1,5,6,3,7,4,2]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>000000
[1,5,6,4,2,3,7]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>000000
[1,5,6,4,2,7,3]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>000000
[1,5,6,4,3,2,7]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>000000
[1,5,6,4,3,7,2]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>000000
[1,5,6,4,7,2,3]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>000000
[1,5,6,4,7,3,2]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>000000
[1,5,6,7,2,3,4]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>000000
[1,5,6,7,2,4,3]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>000000
[1,5,6,7,3,2,4]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>000000
[1,5,6,7,3,4,2]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>000000
[1,5,6,7,4,2,3]=>[1,2,5,4,7,3,6]=>[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>000000
[1,5,6,7,4,3,2]=>[1,2,5,4,7,3,6]=>[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>000000
[1,5,7,2,3,4,6]=>[1,2,5,3,7,6,4]=>[1,2,5,6,3,7,4]=>[7,6,3,2,5,1,4]=>000000
[1,5,7,2,3,6,4]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>000000
[1,5,7,2,4,3,6]=>[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]=>[7,6,4,3,5,1,2]=>000000
[1,5,7,2,4,6,3]=>[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]=>[7,6,4,3,5,1,2]=>000000
[1,5,7,2,6,3,4]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>000000
[1,5,7,2,6,4,3]=>[1,2,5,6,4,3,7]=>[1,2,4,6,5,3,7]=>[7,6,4,2,3,5,1]=>000000
[1,5,7,3,2,4,6]=>[1,2,5,3,7,6,4]=>[1,2,5,6,3,7,4]=>[7,6,3,2,5,1,4]=>000000
[1,5,7,3,2,6,4]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>000000
[1,5,7,3,4,2,6]=>[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]=>[7,6,4,3,5,1,2]=>000000
[1,5,7,3,4,6,2]=>[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]=>[7,6,4,3,5,1,2]=>000000
[1,5,7,3,6,2,4]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>000000
[1,5,7,3,6,4,2]=>[1,2,5,6,4,3,7]=>[1,2,4,6,5,3,7]=>[7,6,4,2,3,5,1]=>000000
[1,5,7,4,2,3,6]=>[1,2,5,3,7,6,4]=>[1,2,5,6,3,7,4]=>[7,6,3,2,5,1,4]=>000000
[1,5,7,4,2,6,3]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>000000
[1,5,7,4,3,2,6]=>[1,2,5,3,7,6,4]=>[1,2,5,6,3,7,4]=>[7,6,3,2,5,1,4]=>000000
[1,5,7,4,3,6,2]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>000000
[1,5,7,4,6,2,3]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>000000
[1,5,7,4,6,3,2]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>000000
[1,5,7,6,2,3,4]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>000000
[1,5,7,6,2,4,3]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>000000
[1,5,7,6,3,2,4]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>000000
[1,5,7,6,3,4,2]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>000000
[1,5,7,6,4,2,3]=>[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>000000
[1,5,7,6,4,3,2]=>[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>000000
[1,6,2,3,4,5,7]=>[1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7]=>[7,6,4,3,2,5,1]=>000000
[1,6,2,3,4,7,5]=>[1,2,6,7,5,4,3]=>[1,2,4,5,7,6,3]=>[7,6,4,3,1,2,5]=>000000
[1,6,2,3,5,4,7]=>[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>000000
[1,6,2,3,5,7,4]=>[1,2,6,7,4,3,5]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>000000
[1,6,2,3,7,4,5]=>[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>000000
[1,6,2,3,7,5,4]=>[1,2,6,5,7,4,3]=>[1,2,4,7,6,5,3]=>[7,6,4,1,2,3,5]=>000000
[1,6,2,4,3,5,7]=>[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>000000
[1,6,2,4,3,7,5]=>[1,2,6,7,5,3,4]=>[1,2,5,3,7,6,4]=>[7,6,3,5,1,2,4]=>000000
[1,6,2,4,5,3,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[1,6,2,4,5,7,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>000000
[1,6,2,4,7,3,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[1,6,2,4,7,5,3]=>[1,2,6,5,7,3,4]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>000000
[1,6,2,5,3,4,7]=>[1,2,6,4,5,3,7]=>[1,2,5,6,4,3,7]=>[7,6,3,2,4,5,1]=>000000
[1,6,2,5,3,7,4]=>[1,2,6,7,4,5,3]=>[1,2,5,7,4,6,3]=>[7,6,3,1,4,2,5]=>000000
[1,6,2,5,4,3,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[1,6,2,5,4,7,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>000000
[1,6,2,5,7,3,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[1,6,2,5,7,4,3]=>[1,2,6,4,5,7,3]=>[1,2,7,6,4,5,3]=>[7,6,1,2,4,3,5]=>000000
[1,6,2,7,3,4,5]=>[1,2,6,4,7,5,3]=>[1,2,5,7,6,3,4]=>[7,6,3,1,2,5,4]=>000000
[1,6,2,7,3,5,4]=>[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>000000
[1,6,2,7,4,3,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>000000
[1,6,2,7,4,5,3]=>[1,2,6,5,4,7,3]=>[1,2,7,5,6,4,3]=>[7,6,1,3,2,4,5]=>000000
[1,6,2,7,5,3,4]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>000000
[1,6,2,7,5,4,3]=>[1,2,6,4,7,3,5]=>[1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>000000
[1,6,3,2,4,5,7]=>[1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7]=>[7,6,4,3,2,5,1]=>000000
[1,6,3,2,4,7,5]=>[1,2,6,7,5,4,3]=>[1,2,4,5,7,6,3]=>[7,6,4,3,1,2,5]=>000000
[1,6,3,2,5,4,7]=>[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>000000
[1,6,3,2,5,7,4]=>[1,2,6,7,4,3,5]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>000000
[1,6,3,2,7,4,5]=>[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>000000
[1,6,3,2,7,5,4]=>[1,2,6,5,7,4,3]=>[1,2,4,7,6,5,3]=>[7,6,4,1,2,3,5]=>000000
[1,6,3,4,2,5,7]=>[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>000000
[1,6,3,4,2,7,5]=>[1,2,6,7,5,3,4]=>[1,2,5,3,7,6,4]=>[7,6,3,5,1,2,4]=>000000
[1,6,3,4,5,2,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[1,6,3,4,5,7,2]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>000000
[1,6,3,4,7,2,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[1,6,3,4,7,5,2]=>[1,2,6,5,7,3,4]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>000000
[1,6,3,5,2,4,7]=>[1,2,6,4,5,3,7]=>[1,2,5,6,4,3,7]=>[7,6,3,2,4,5,1]=>000000
[1,6,3,5,2,7,4]=>[1,2,6,7,4,5,3]=>[1,2,5,7,4,6,3]=>[7,6,3,1,4,2,5]=>000000
[1,6,3,5,4,2,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[1,6,3,5,4,7,2]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>000000
[1,6,3,5,7,2,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[1,6,3,5,7,4,2]=>[1,2,6,4,5,7,3]=>[1,2,7,6,4,5,3]=>[7,6,1,2,4,3,5]=>000000
[1,6,3,7,2,4,5]=>[1,2,6,4,7,5,3]=>[1,2,5,7,6,3,4]=>[7,6,3,1,2,5,4]=>000000
[1,6,3,7,2,5,4]=>[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>000000
[1,6,3,7,4,2,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>000000
[1,6,3,7,4,5,2]=>[1,2,6,5,4,7,3]=>[1,2,7,5,6,4,3]=>[7,6,1,3,2,4,5]=>000000
[1,6,3,7,5,2,4]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>000000
[1,6,3,7,5,4,2]=>[1,2,6,4,7,3,5]=>[1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>000000
[1,6,4,2,3,5,7]=>[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>000000
[1,6,4,2,3,7,5]=>[1,2,6,7,5,3,4]=>[1,2,5,3,7,6,4]=>[7,6,3,5,1,2,4]=>000000
[1,6,4,2,5,3,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[1,6,4,2,5,7,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>000000
[1,6,4,2,7,3,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[1,6,4,2,7,5,3]=>[1,2,6,5,7,3,4]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>000000
[1,6,4,3,2,5,7]=>[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>000000
[1,6,4,3,2,7,5]=>[1,2,6,7,5,3,4]=>[1,2,5,3,7,6,4]=>[7,6,3,5,1,2,4]=>000000
[1,6,4,3,5,2,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[1,6,4,3,5,7,2]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>000000
[1,6,4,3,7,2,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[1,6,4,3,7,5,2]=>[1,2,6,5,7,3,4]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>000000
[1,6,4,5,2,3,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[1,6,4,5,2,7,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>000000
[1,6,4,5,3,2,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[1,6,4,5,3,7,2]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>000000
[1,6,4,5,7,2,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[1,6,4,5,7,3,2]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[1,6,4,7,2,3,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>000000
[1,6,4,7,2,5,3]=>[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>000000
[1,6,4,7,3,2,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>000000
[1,6,4,7,3,5,2]=>[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>000000
[1,6,4,7,5,2,3]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>000000
[1,6,4,7,5,3,2]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>000000
[1,6,5,2,3,4,7]=>[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>000000
[1,6,5,2,3,7,4]=>[1,2,6,7,4,3,5]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>000000
[1,6,5,2,4,3,7]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>000000
[1,6,5,2,4,7,3]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[7,6,1,3,5,2,4]=>000000
[1,6,5,2,7,3,4]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[7,6,2,1,5,3,4]=>000000
[1,6,5,2,7,4,3]=>[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>000000
[1,6,5,3,2,4,7]=>[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>000000
[1,6,5,3,2,7,4]=>[1,2,6,7,4,3,5]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>000000
[1,6,5,3,4,2,7]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>000000
[1,6,5,3,4,7,2]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[7,6,1,3,5,2,4]=>000000
[1,6,5,3,7,2,4]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[7,6,2,1,5,3,4]=>000000
[1,6,5,3,7,4,2]=>[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>000000
[1,6,5,4,2,3,7]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>000000
[1,6,5,4,2,7,3]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[7,6,1,3,5,2,4]=>000000
[1,6,5,4,3,2,7]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>000000
[1,6,5,4,3,7,2]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[7,6,1,3,5,2,4]=>000000
[1,6,5,4,7,2,3]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[7,6,2,1,5,3,4]=>000000
[1,6,5,4,7,3,2]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[7,6,2,1,5,3,4]=>000000
[1,6,5,7,2,3,4]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>000000
[1,6,5,7,2,4,3]=>[1,2,6,4,7,3,5]=>[1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>000000
[1,6,5,7,3,2,4]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>000000
[1,6,5,7,3,4,2]=>[1,2,6,4,7,3,5]=>[1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>000000
[1,6,5,7,4,2,3]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>000000
[1,6,5,7,4,3,2]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>000000
[1,6,7,2,3,4,5]=>[1,2,6,4,3,7,5]=>[1,2,4,6,7,3,5]=>[7,6,4,2,1,5,3]=>000000
[1,6,7,2,3,5,4]=>[1,2,6,5,3,7,4]=>[1,2,5,6,7,4,3]=>[7,6,3,2,1,4,5]=>000000
[1,6,7,2,4,3,5]=>[1,2,6,3,7,5,4]=>[1,2,6,5,7,3,4]=>[7,6,2,3,1,5,4]=>000000
[1,6,7,2,4,5,3]=>[1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7]=>[7,6,4,3,2,5,1]=>000000
[1,6,7,2,5,3,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>000000
[1,6,7,2,5,4,3]=>[1,2,6,4,3,7,5]=>[1,2,4,6,7,3,5]=>[7,6,4,2,1,5,3]=>000000
[1,6,7,3,2,4,5]=>[1,2,6,4,3,7,5]=>[1,2,4,6,7,3,5]=>[7,6,4,2,1,5,3]=>000000
[1,6,7,3,2,5,4]=>[1,2,6,5,3,7,4]=>[1,2,5,6,7,4,3]=>[7,6,3,2,1,4,5]=>000000
[1,6,7,3,4,2,5]=>[1,2,6,3,7,5,4]=>[1,2,6,5,7,3,4]=>[7,6,2,3,1,5,4]=>000000
[1,6,7,3,4,5,2]=>[1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7]=>[7,6,4,3,2,5,1]=>000000
[1,6,7,3,5,2,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>000000
[1,6,7,3,5,4,2]=>[1,2,6,4,3,7,5]=>[1,2,4,6,7,3,5]=>[7,6,4,2,1,5,3]=>000000
[1,6,7,4,2,3,5]=>[1,2,6,3,7,5,4]=>[1,2,6,5,7,3,4]=>[7,6,2,3,1,5,4]=>000000
[1,6,7,4,2,5,3]=>[1,2,6,5,3,7,4]=>[1,2,5,6,7,4,3]=>[7,6,3,2,1,4,5]=>000000
[1,6,7,4,3,2,5]=>[1,2,6,3,7,5,4]=>[1,2,6,5,7,3,4]=>[7,6,2,3,1,5,4]=>000000
[1,6,7,4,3,5,2]=>[1,2,6,5,3,7,4]=>[1,2,5,6,7,4,3]=>[7,6,3,2,1,4,5]=>000000
[1,6,7,4,5,2,3]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>000000
[1,6,7,4,5,3,2]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>000000
[1,6,7,5,2,3,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>000000
[1,6,7,5,2,4,3]=>[1,2,6,4,5,3,7]=>[1,2,5,6,4,3,7]=>[7,6,3,2,4,5,1]=>000000
[1,6,7,5,3,2,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>000000
[1,6,7,5,3,4,2]=>[1,2,6,4,5,3,7]=>[1,2,5,6,4,3,7]=>[7,6,3,2,4,5,1]=>000000
[1,6,7,5,4,2,3]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>000000
[1,6,7,5,4,3,2]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>000000
[1,7,2,3,4,5,6]=>[1,2,7,6,5,4,3]=>[1,2,4,5,6,7,3]=>[7,6,4,3,2,1,5]=>000000
[1,7,2,3,4,6,5]=>[1,2,7,5,4,3,6]=>[1,2,4,5,7,3,6]=>[7,6,4,3,1,5,2]=>000000
[1,7,2,3,5,4,6]=>[1,2,7,6,4,3,5]=>[1,2,4,6,3,7,5]=>[7,6,4,2,5,1,3]=>000000
[1,7,2,3,5,6,4]=>[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>000000
[1,7,2,3,6,4,5]=>[1,2,7,5,6,4,3]=>[1,2,4,6,7,5,3]=>[7,6,4,2,1,3,5]=>000000
[1,7,2,3,6,5,4]=>[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>000000
[1,7,2,4,3,5,6]=>[1,2,7,6,5,3,4]=>[1,2,5,3,6,7,4]=>[7,6,3,5,2,1,4]=>000000
[1,7,2,4,3,6,5]=>[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>000000
[1,7,2,4,5,3,6]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>000000
[1,7,2,4,5,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[1,7,2,4,6,3,5]=>[1,2,7,5,6,3,4]=>[1,2,6,3,7,5,4]=>[7,6,2,5,1,3,4]=>000000
[1,7,2,4,6,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[1,7,2,5,3,4,6]=>[1,2,7,6,4,5,3]=>[1,2,5,6,4,7,3]=>[7,6,3,2,4,1,5]=>000000
[1,7,2,5,3,6,4]=>[1,2,7,4,5,3,6]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>000000
[1,7,2,5,4,3,6]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>000000
[1,7,2,5,4,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[1,7,2,5,6,3,4]=>[1,2,7,4,5,6,3]=>[1,2,6,7,4,5,3]=>[7,6,2,1,4,3,5]=>000000
[1,7,2,5,6,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[1,7,2,6,3,4,5]=>[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>000000
[1,7,2,6,3,5,4]=>[1,2,7,4,6,5,3]=>[1,2,5,6,7,3,4]=>[7,6,3,2,1,5,4]=>000000
[1,7,2,6,4,3,5]=>[1,2,7,5,4,6,3]=>[1,2,6,5,7,4,3]=>[7,6,2,3,1,4,5]=>000000
[1,7,2,6,4,5,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>000000
[1,7,2,6,5,3,4]=>[1,2,7,4,6,3,5]=>[1,2,6,7,3,4,5]=>[7,6,2,1,5,4,3]=>000000
[1,7,2,6,5,4,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>000000
[1,7,3,2,4,5,6]=>[1,2,7,6,5,4,3]=>[1,2,4,5,6,7,3]=>[7,6,4,3,2,1,5]=>000000
[1,7,3,2,4,6,5]=>[1,2,7,5,4,3,6]=>[1,2,4,5,7,3,6]=>[7,6,4,3,1,5,2]=>000000
[1,7,3,2,5,4,6]=>[1,2,7,6,4,3,5]=>[1,2,4,6,3,7,5]=>[7,6,4,2,5,1,3]=>000000
[1,7,3,2,5,6,4]=>[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>000000
[1,7,3,2,6,4,5]=>[1,2,7,5,6,4,3]=>[1,2,4,6,7,5,3]=>[7,6,4,2,1,3,5]=>000000
[1,7,3,2,6,5,4]=>[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>000000
[1,7,3,4,2,5,6]=>[1,2,7,6,5,3,4]=>[1,2,5,3,6,7,4]=>[7,6,3,5,2,1,4]=>000000
[1,7,3,4,2,6,5]=>[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>000000
[1,7,3,4,5,2,6]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>000000
[1,7,3,4,5,6,2]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[1,7,3,4,6,2,5]=>[1,2,7,5,6,3,4]=>[1,2,6,3,7,5,4]=>[7,6,2,5,1,3,4]=>000000
[1,7,3,4,6,5,2]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[1,7,3,5,2,4,6]=>[1,2,7,6,4,5,3]=>[1,2,5,6,4,7,3]=>[7,6,3,2,4,1,5]=>000000
[1,7,3,5,2,6,4]=>[1,2,7,4,5,3,6]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>000000
[1,7,3,5,4,2,6]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>000000
[1,7,3,5,4,6,2]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[1,7,3,5,6,2,4]=>[1,2,7,4,5,6,3]=>[1,2,6,7,4,5,3]=>[7,6,2,1,4,3,5]=>000000
[1,7,3,5,6,4,2]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[1,7,3,6,2,4,5]=>[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>000000
[1,7,3,6,2,5,4]=>[1,2,7,4,6,5,3]=>[1,2,5,6,7,3,4]=>[7,6,3,2,1,5,4]=>000000
[1,7,3,6,4,2,5]=>[1,2,7,5,4,6,3]=>[1,2,6,5,7,4,3]=>[7,6,2,3,1,4,5]=>000000
[1,7,3,6,4,5,2]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>000000
[1,7,3,6,5,2,4]=>[1,2,7,4,6,3,5]=>[1,2,6,7,3,4,5]=>[7,6,2,1,5,4,3]=>000000
[1,7,3,6,5,4,2]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>000000
[1,7,4,2,3,5,6]=>[1,2,7,6,5,3,4]=>[1,2,5,3,6,7,4]=>[7,6,3,5,2,1,4]=>000000
[1,7,4,2,3,6,5]=>[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>000000
[1,7,4,2,5,3,6]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>000000
[1,7,4,2,5,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[1,7,4,2,6,3,5]=>[1,2,7,5,6,3,4]=>[1,2,6,3,7,5,4]=>[7,6,2,5,1,3,4]=>000000
[1,7,4,2,6,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[1,7,4,3,2,5,6]=>[1,2,7,6,5,3,4]=>[1,2,5,3,6,7,4]=>[7,6,3,5,2,1,4]=>000000
[1,7,4,3,2,6,5]=>[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>000000
[1,7,4,3,5,2,6]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>000000
[1,7,4,3,5,6,2]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[1,7,4,3,6,2,5]=>[1,2,7,5,6,3,4]=>[1,2,6,3,7,5,4]=>[7,6,2,5,1,3,4]=>000000
[1,7,4,3,6,5,2]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[1,7,4,5,2,3,6]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>000000
[1,7,4,5,2,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[1,7,4,5,3,2,6]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>000000
[1,7,4,5,3,6,2]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[1,7,4,5,6,2,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[1,7,4,5,6,3,2]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[1,7,4,6,2,3,5]=>[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>000000
[1,7,4,6,2,5,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>000000
[1,7,4,6,3,2,5]=>[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>000000
[1,7,4,6,3,5,2]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>000000
[1,7,4,6,5,2,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>000000
[1,7,4,6,5,3,2]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>000000
[1,7,5,2,3,4,6]=>[1,2,7,6,4,3,5]=>[1,2,4,6,3,7,5]=>[7,6,4,2,5,1,3]=>000000
[1,7,5,2,3,6,4]=>[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>000000
[1,7,5,2,4,3,6]=>[1,2,7,6,3,5,4]=>[1,2,6,5,3,7,4]=>[7,6,2,3,5,1,4]=>000000
[1,7,5,2,4,6,3]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>000000
[1,7,5,2,6,3,4]=>[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>000000
[1,7,5,2,6,4,3]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>000000
[1,7,5,3,2,4,6]=>[1,2,7,6,4,3,5]=>[1,2,4,6,3,7,5]=>[7,6,4,2,5,1,3]=>000000
[1,7,5,3,2,6,4]=>[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>000000
[1,7,5,3,4,2,6]=>[1,2,7,6,3,5,4]=>[1,2,6,5,3,7,4]=>[7,6,2,3,5,1,4]=>000000
[1,7,5,3,4,6,2]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>000000
[1,7,5,3,6,2,4]=>[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>000000
[1,7,5,3,6,4,2]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>000000
[1,7,5,4,2,3,6]=>[1,2,7,6,3,5,4]=>[1,2,6,5,3,7,4]=>[7,6,2,3,5,1,4]=>000000
[1,7,5,4,2,6,3]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>000000
[1,7,5,4,3,2,6]=>[1,2,7,6,3,5,4]=>[1,2,6,5,3,7,4]=>[7,6,2,3,5,1,4]=>000000
[1,7,5,4,3,6,2]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>000000
[1,7,5,4,6,2,3]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>000000
[1,7,5,4,6,3,2]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>000000
[1,7,5,6,2,3,4]=>[1,2,7,4,6,3,5]=>[1,2,6,7,3,4,5]=>[7,6,2,1,5,4,3]=>000000
[1,7,5,6,2,4,3]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>000000
[1,7,5,6,3,2,4]=>[1,2,7,4,6,3,5]=>[1,2,6,7,3,4,5]=>[7,6,2,1,5,4,3]=>000000
[1,7,5,6,3,4,2]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>000000
[1,7,5,6,4,2,3]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>000000
[1,7,5,6,4,3,2]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>000000
[1,7,6,2,3,4,5]=>[1,2,7,5,3,6,4]=>[1,2,5,7,6,4,3]=>[7,6,3,1,2,4,5]=>000000
[1,7,6,2,3,5,4]=>[1,2,7,4,3,6,5]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>000000
[1,7,6,2,4,3,5]=>[1,2,7,5,4,3,6]=>[1,2,4,5,7,3,6]=>[7,6,4,3,1,5,2]=>000000
[1,7,6,2,4,5,3]=>[1,2,7,3,6,5,4]=>[1,2,7,5,6,3,4]=>[7,6,1,3,2,5,4]=>000000
[1,7,6,2,5,3,4]=>[1,2,7,4,3,6,5]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>000000
[1,7,6,2,5,4,3]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>000000
[1,7,6,3,2,4,5]=>[1,2,7,5,3,6,4]=>[1,2,5,7,6,4,3]=>[7,6,3,1,2,4,5]=>000000
[1,7,6,3,2,5,4]=>[1,2,7,4,3,6,5]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>000000
[1,7,6,3,4,2,5]=>[1,2,7,5,4,3,6]=>[1,2,4,5,7,3,6]=>[7,6,4,3,1,5,2]=>000000
[1,7,6,3,4,5,2]=>[1,2,7,3,6,5,4]=>[1,2,7,5,6,3,4]=>[7,6,1,3,2,5,4]=>000000
[1,7,6,3,5,2,4]=>[1,2,7,4,3,6,5]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>000000
[1,7,6,3,5,4,2]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>000000
[1,7,6,4,2,3,5]=>[1,2,7,5,3,6,4]=>[1,2,5,7,6,4,3]=>[7,6,3,1,2,4,5]=>000000
[1,7,6,4,2,5,3]=>[1,2,7,3,6,5,4]=>[1,2,7,5,6,3,4]=>[7,6,1,3,2,5,4]=>000000
[1,7,6,4,3,2,5]=>[1,2,7,5,3,6,4]=>[1,2,5,7,6,4,3]=>[7,6,3,1,2,4,5]=>000000
[1,7,6,4,3,5,2]=>[1,2,7,3,6,5,4]=>[1,2,7,5,6,3,4]=>[7,6,1,3,2,5,4]=>000000
[1,7,6,4,5,2,3]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>000000
[1,7,6,4,5,3,2]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>000000
[1,7,6,5,2,3,4]=>[1,2,7,4,5,3,6]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>000000
[1,7,6,5,2,4,3]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>000000
[1,7,6,5,3,2,4]=>[1,2,7,4,5,3,6]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>000000
[1,7,6,5,3,4,2]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>000000
[1,7,6,5,4,2,3]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>000000
[1,7,6,5,4,3,2]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>000000
[2,1,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,1,3,4,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,1,3,4,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,1,3,4,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,1,3,4,7,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[2,1,3,4,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[2,1,3,5,4,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,1,3,5,4,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,1,3,5,6,4,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,1,3,5,6,7,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,1,3,5,7,4,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[2,1,3,5,7,6,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[2,1,3,6,4,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[2,1,3,6,4,7,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>000000
[2,1,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[2,1,3,6,5,7,4]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>000000
[2,1,3,6,7,4,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[2,1,3,6,7,5,4]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[2,1,3,7,4,5,6]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>000000
[2,1,3,7,4,6,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[2,1,3,7,5,4,6]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>000000
[2,1,3,7,5,6,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[2,1,3,7,6,4,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[2,1,3,7,6,5,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[2,1,4,3,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,1,4,3,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,1,4,3,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,1,4,3,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,1,4,3,7,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[2,1,4,3,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[2,1,4,5,3,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,1,4,5,3,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,1,4,5,6,3,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,1,4,5,6,7,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,1,4,5,7,3,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[2,1,4,5,7,6,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[2,1,4,6,3,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[2,1,4,6,3,7,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>000000
[2,1,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[2,1,4,6,5,7,3]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>000000
[2,1,4,6,7,3,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[2,1,4,6,7,5,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[2,1,4,7,3,5,6]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>000000
[2,1,4,7,3,6,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[2,1,4,7,5,3,6]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>000000
[2,1,4,7,5,6,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[2,1,4,7,6,3,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[2,1,4,7,6,5,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[2,1,5,3,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[2,1,5,3,4,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[2,1,5,3,6,4,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>000000
[2,1,5,3,6,7,4]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>000000
[2,1,5,3,7,4,6]=>[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4]=>[7,6,5,2,3,1,4]=>000000
[2,1,5,3,7,6,4]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>000000
[2,1,5,4,3,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[2,1,5,4,3,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[2,1,5,4,6,3,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>000000
[2,1,5,4,6,7,3]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>000000
[2,1,5,4,7,3,6]=>[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4]=>[7,6,5,2,3,1,4]=>000000
[2,1,5,4,7,6,3]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>000000
[2,1,5,6,3,4,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[2,1,5,6,3,7,4]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[2,1,5,6,4,3,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[2,1,5,6,4,7,3]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[2,1,5,6,7,3,4]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>000000
[2,1,5,6,7,4,3]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>000000
[2,1,5,7,3,4,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>000000
[2,1,5,7,3,6,4]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>000000
[2,1,5,7,4,3,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>000000
[2,1,5,7,4,6,3]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>000000
[2,1,5,7,6,3,4]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>000000
[2,1,5,7,6,4,3]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>000000
[2,1,6,3,4,5,7]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>000000
[2,1,6,3,4,7,5]=>[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4]=>[7,6,5,3,1,2,4]=>000000
[2,1,6,3,5,4,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[2,1,6,3,5,7,4]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>000000
[2,1,6,3,7,4,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[2,1,6,3,7,5,4]=>[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>000000
[2,1,6,4,3,5,7]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>000000
[2,1,6,4,3,7,5]=>[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4]=>[7,6,5,3,1,2,4]=>000000
[2,1,6,4,5,3,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[2,1,6,4,5,7,3]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>000000
[2,1,6,4,7,3,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[2,1,6,4,7,5,3]=>[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>000000
[2,1,6,5,3,4,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[2,1,6,5,3,7,4]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>000000
[2,1,6,5,4,3,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[2,1,6,5,4,7,3]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>000000
[2,1,6,5,7,3,4]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[2,1,6,5,7,4,3]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[2,1,6,7,3,4,5]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>000000
[2,1,6,7,3,5,4]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>000000
[2,1,6,7,4,3,5]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>000000
[2,1,6,7,4,5,3]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>000000
[2,1,6,7,5,3,4]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>000000
[2,1,6,7,5,4,3]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>000000
[2,1,7,3,4,5,6]=>[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4]=>[7,6,5,3,2,1,4]=>000000
[2,1,7,3,4,6,5]=>[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>000000
[2,1,7,3,5,4,6]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>000000
[2,1,7,3,5,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[2,1,7,3,6,4,5]=>[1,2,3,7,5,6,4]=>[1,2,3,6,7,5,4]=>[7,6,5,2,1,3,4]=>000000
[2,1,7,3,6,5,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[2,1,7,4,3,5,6]=>[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4]=>[7,6,5,3,2,1,4]=>000000
[2,1,7,4,3,6,5]=>[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>000000
[2,1,7,4,5,3,6]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>000000
[2,1,7,4,5,6,3]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[2,1,7,4,6,3,5]=>[1,2,3,7,5,6,4]=>[1,2,3,6,7,5,4]=>[7,6,5,2,1,3,4]=>000000
[2,1,7,4,6,5,3]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[2,1,7,5,3,4,6]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>000000
[2,1,7,5,3,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[2,1,7,5,4,3,6]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>000000
[2,1,7,5,4,6,3]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[2,1,7,5,6,3,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[2,1,7,5,6,4,3]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[2,1,7,6,3,4,5]=>[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>000000
[2,1,7,6,3,5,4]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>000000
[2,1,7,6,4,3,5]=>[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>000000
[2,1,7,6,4,5,3]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>000000
[2,1,7,6,5,3,4]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>000000
[2,1,7,6,5,4,3]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>000000
[2,3,1,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,3,1,4,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,3,1,4,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,3,1,4,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,3,1,4,7,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[2,3,1,4,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[2,3,1,5,4,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,3,1,5,4,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,3,1,5,6,4,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,3,1,5,6,7,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,3,1,5,7,4,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[2,3,1,5,7,6,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[2,3,1,6,4,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[2,3,1,6,4,7,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>000000
[2,3,1,6,5,4,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[2,3,1,6,5,7,4]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>000000
[2,3,1,6,7,4,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[2,3,1,6,7,5,4]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[2,3,1,7,4,5,6]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>000000
[2,3,1,7,4,6,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[2,3,1,7,5,4,6]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>000000
[2,3,1,7,5,6,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[2,3,1,7,6,4,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[2,3,1,7,6,5,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[2,3,4,1,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,3,4,1,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,3,4,1,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,3,4,1,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,3,4,1,7,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[2,3,4,1,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[2,3,4,5,1,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,3,4,5,1,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,3,4,5,6,1,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000
[2,3,4,5,7,1,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>000000
[2,3,4,6,1,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[2,3,4,6,1,7,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>000000
[2,3,4,6,5,1,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[2,3,4,6,5,7,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>000000
[2,3,4,6,7,1,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[2,3,4,6,7,5,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>000000
[2,3,4,7,1,5,6]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>000000
[2,3,4,7,1,6,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[2,3,4,7,5,1,6]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>000000
[2,3,4,7,5,6,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[2,3,4,7,6,1,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[2,3,4,7,6,5,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>000000
[2,3,5,1,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[2,3,5,1,4,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[2,3,5,1,6,4,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>000000
[2,3,5,1,6,7,4]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>000000
[2,3,5,1,7,4,6]=>[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4]=>[7,6,5,2,3,1,4]=>000000
[2,3,5,1,7,6,4]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>000000
[2,3,5,4,1,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[2,3,5,4,1,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[2,3,5,4,6,1,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>000000
[2,3,5,4,6,7,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>000000
[2,3,5,4,7,1,6]=>[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4]=>[7,6,5,2,3,1,4]=>000000
[2,3,5,4,7,6,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>000000
[2,3,5,6,1,4,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[2,3,5,6,1,7,4]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[2,3,5,6,4,1,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[2,3,5,6,4,7,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>000000
[2,3,5,6,7,1,4]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>000000
[2,3,5,6,7,4,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>000000
[2,3,5,7,1,4,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>000000
[2,3,5,7,1,6,4]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>000000
[2,3,5,7,4,1,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>000000
[2,3,5,7,4,6,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>000000
[2,3,5,7,6,1,4]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>000000
[2,3,5,7,6,4,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>000000
[2,3,6,1,4,5,7]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>000000
[2,3,6,1,4,7,5]=>[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4]=>[7,6,5,3,1,2,4]=>000000
[2,3,6,1,5,4,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[2,3,6,1,5,7,4]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>000000
[2,3,6,1,7,4,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[2,3,6,1,7,5,4]=>[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>000000
[2,3,6,4,1,5,7]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>000000
[2,3,6,4,1,7,5]=>[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4]=>[7,6,5,3,1,2,4]=>000000
[2,3,6,4,5,1,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[2,3,6,4,5,7,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>000000
[2,3,6,4,7,1,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[2,3,6,4,7,5,1]=>[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>000000
[2,3,6,5,1,4,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[2,3,6,5,1,7,4]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>000000
[2,3,6,5,4,1,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[2,3,6,5,4,7,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>000000
[2,3,6,5,7,1,4]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[2,3,6,5,7,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>000000
[2,3,6,7,1,4,5]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>000000
[2,3,6,7,1,5,4]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>000000
[2,3,6,7,4,1,5]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>000000
[2,3,6,7,4,5,1]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>000000
[2,3,6,7,5,1,4]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>000000
[2,3,6,7,5,4,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>000000
[2,3,7,1,4,5,6]=>[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4]=>[7,6,5,3,2,1,4]=>000000
[2,3,7,1,4,6,5]=>[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>000000
[2,3,7,1,5,4,6]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>000000
[2,3,7,1,5,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[2,3,7,1,6,4,5]=>[1,2,3,7,5,6,4]=>[1,2,3,6,7,5,4]=>[7,6,5,2,1,3,4]=>000000
[2,3,7,1,6,5,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[2,3,7,4,1,5,6]=>[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4]=>[7,6,5,3,2,1,4]=>000000
[2,3,7,4,1,6,5]=>[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>000000
[2,3,7,4,5,1,6]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>000000
[2,3,7,4,5,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[2,3,7,4,6,1,5]=>[1,2,3,7,5,6,4]=>[1,2,3,6,7,5,4]=>[7,6,5,2,1,3,4]=>000000
[2,3,7,4,6,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[2,3,7,5,1,4,6]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>000000
[2,3,7,5,1,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[2,3,7,5,4,1,6]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>000000
[2,3,7,5,4,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[2,3,7,5,6,1,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[2,3,7,5,6,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>000000
[2,3,7,6,1,4,5]=>[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>000000
[2,3,7,6,1,5,4]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>000000
[2,3,7,6,4,1,5]=>[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>000000
[2,3,7,6,4,5,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>000000
[2,3,7,6,5,1,4]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>000000
[2,3,7,6,5,4,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>000000
[2,4,1,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[2,4,1,3,5,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[2,4,1,3,6,5,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[2,4,1,3,6,7,5]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[2,4,1,3,7,5,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>000000
[2,4,1,3,7,6,5]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>000000
[2,4,1,5,3,6,7]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000
[2,4,1,5,3,7,6]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000
[2,4,1,5,6,3,7]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>000000
[2,4,1,5,6,7,3]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>000000
[2,4,1,5,7,3,6]=>[1,2,4,5,7,6,3]=>[1,2,6,4,5,7,3]=>[7,6,2,4,3,1,5]=>000000
[2,4,1,5,7,6,3]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[7,6,1,4,3,5,2]=>000000
[2,4,1,6,3,5,7]=>[1,2,4,6,5,3,7]=>[1,2,5,4,6,3,7]=>[7,6,3,4,2,5,1]=>000000
[2,4,1,6,3,7,5]=>[1,2,4,6,7,5,3]=>[1,2,5,4,7,6,3]=>[7,6,3,4,1,2,5]=>000000
[2,4,1,6,5,3,7]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>000000
[2,4,1,6,5,7,3]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>000000
[2,4,1,6,7,3,5]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>000000
[2,4,1,6,7,5,3]=>[1,2,4,6,5,7,3]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>000000
[2,4,1,7,3,5,6]=>[1,2,4,7,6,5,3]=>[1,2,5,4,6,7,3]=>[7,6,3,4,2,1,5]=>000000
[2,4,1,7,3,6,5]=>[1,2,4,7,5,3,6]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>000000
[2,4,1,7,5,3,6]=>[1,2,4,7,6,3,5]=>[1,2,6,4,3,7,5]=>[7,6,2,4,5,1,3]=>000000
[2,4,1,7,5,6,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>000000
[2,4,1,7,6,3,5]=>[1,2,4,7,5,6,3]=>[1,2,6,4,7,5,3]=>[7,6,2,4,1,3,5]=>000000
[2,4,1,7,6,5,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>000000
[2,4,3,1,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[2,4,3,1,5,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[2,4,3,1,6,5,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[2,4,3,1,6,7,5]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[2,4,3,1,7,5,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>000000
[2,4,3,1,7,6,5]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>000000
[2,4,3,5,1,6,7]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000
[2,4,3,5,1,7,6]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000
[2,4,3,5,6,1,7]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>000000
[2,4,3,5,6,7,1]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>000000
[2,4,3,5,7,1,6]=>[1,2,4,5,7,6,3]=>[1,2,6,4,5,7,3]=>[7,6,2,4,3,1,5]=>000000
[2,4,3,5,7,6,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[7,6,1,4,3,5,2]=>000000
[2,4,3,6,1,5,7]=>[1,2,4,6,5,3,7]=>[1,2,5,4,6,3,7]=>[7,6,3,4,2,5,1]=>000000
[2,4,3,6,1,7,5]=>[1,2,4,6,7,5,3]=>[1,2,5,4,7,6,3]=>[7,6,3,4,1,2,5]=>000000
[2,4,3,6,5,1,7]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>000000
[2,4,3,6,5,7,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>000000
[2,4,3,6,7,1,5]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>000000
[2,4,3,6,7,5,1]=>[1,2,4,6,5,7,3]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>000000
[2,4,3,7,1,5,6]=>[1,2,4,7,6,5,3]=>[1,2,5,4,6,7,3]=>[7,6,3,4,2,1,5]=>000000
[2,4,3,7,1,6,5]=>[1,2,4,7,5,3,6]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>000000
[2,4,3,7,5,1,6]=>[1,2,4,7,6,3,5]=>[1,2,6,4,3,7,5]=>[7,6,2,4,5,1,3]=>000000
[2,4,3,7,5,6,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>000000
[2,4,3,7,6,1,5]=>[1,2,4,7,5,6,3]=>[1,2,6,4,7,5,3]=>[7,6,2,4,1,3,5]=>000000
[2,4,3,7,6,5,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>000000
[2,4,5,1,3,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[2,4,5,1,3,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[2,4,5,1,6,3,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[2,4,5,1,6,7,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[2,4,5,1,7,3,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>000000
[2,4,5,1,7,6,3]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>000000
[2,4,5,3,1,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[2,4,5,3,1,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[2,4,5,3,6,1,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[2,4,5,3,6,7,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>000000
[2,4,5,3,7,1,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>000000
[2,4,5,3,7,6,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>000000
[2,4,5,6,1,3,7]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>000000
[2,4,5,6,1,7,3]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>000000
[2,4,5,6,3,1,7]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>000000
[2,4,5,6,3,7,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>000000
[2,4,5,6,7,1,3]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>000000
[2,4,5,6,7,3,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>000000
[2,4,5,7,1,3,6]=>[1,2,4,7,6,3,5]=>[1,2,6,4,3,7,5]=>[7,6,2,4,5,1,3]=>000000
[2,4,5,7,1,6,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>000000
[2,4,5,7,3,1,6]=>[1,2,4,7,6,3,5]=>[1,2,6,4,3,7,5]=>[7,6,2,4,5,1,3]=>000000
[2,4,5,7,3,6,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>000000
[2,4,5,7,6,1,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>000000
[2,4,5,7,6,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>000000
[2,4,6,1,3,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>000000
[2,4,6,1,3,7,5]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>000000
[2,4,6,1,5,3,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>000000
[2,4,6,1,5,7,3]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>000000
[2,4,6,1,7,3,5]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>000000
[2,4,6,1,7,5,3]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>000000
[2,4,6,3,1,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>000000
[2,4,6,3,1,7,5]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>000000
[2,4,6,3,5,1,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>000000
[2,4,6,3,5,7,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>000000
[2,4,6,3,7,1,5]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>000000
[2,4,6,3,7,5,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>000000
[2,4,6,5,1,3,7]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000
[2,4,6,5,1,7,3]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000
[2,4,6,5,3,1,7]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000
[2,4,6,5,3,7,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000
[2,4,6,5,7,1,3]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[7,6,1,4,3,5,2]=>000000
[2,4,6,5,7,3,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[7,6,1,4,3,5,2]=>000000
[2,4,6,7,1,3,5]=>[1,2,4,7,5,3,6]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>000000
[2,4,6,7,1,5,3]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>000000
[2,4,6,7,3,1,5]=>[1,2,4,7,5,3,6]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>000000
[2,4,6,7,3,5,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>000000
[2,4,6,7,5,1,3]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>000000
[2,4,6,7,5,3,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>000000
[2,4,7,1,3,5,6]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]=>[7,6,4,5,2,1,3]=>000000
[2,4,7,1,3,6,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>000000
[2,4,7,1,5,3,6]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]=>[7,6,4,5,2,1,3]=>000000
[2,4,7,1,5,6,3]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>000000
[2,4,7,1,6,3,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>000000
[2,4,7,1,6,5,3]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>000000
[2,4,7,3,1,5,6]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]=>[7,6,4,5,2,1,3]=>000000
[2,4,7,3,1,6,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>000000
[2,4,7,3,5,1,6]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]=>[7,6,4,5,2,1,3]=>000000
[2,4,7,3,5,6,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>000000
[2,4,7,3,6,1,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>000000
[2,4,7,3,6,5,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>000000
[2,4,7,5,1,3,6]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>000000
[2,4,7,5,1,6,3]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>000000
[2,4,7,5,3,1,6]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>000000
[2,4,7,5,3,6,1]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>000000
[2,4,7,5,6,1,3]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>000000
[2,4,7,5,6,3,1]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>000000
[2,4,7,6,1,3,5]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>000000
[2,4,7,6,1,5,3]=>[1,2,4,6,5,3,7]=>[1,2,5,4,6,3,7]=>[7,6,3,4,2,5,1]=>000000
[2,4,7,6,3,1,5]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>000000
[2,4,7,6,3,5,1]=>[1,2,4,6,5,3,7]=>[1,2,5,4,6,3,7]=>[7,6,3,4,2,5,1]=>000000
[2,4,7,6,5,1,3]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>000000
[2,4,7,6,5,3,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>000000
[2,5,1,3,4,6,7]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>000000
[2,5,1,3,4,7,6]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>000000
[2,5,1,3,6,4,7]=>[1,2,5,6,4,3,7]=>[1,2,4,6,5,3,7]=>[7,6,4,2,3,5,1]=>000000
[2,5,1,3,6,7,4]=>[1,2,5,6,7,4,3]=>[1,2,4,7,5,6,3]=>[7,6,4,1,3,2,5]=>000000
[2,5,1,3,7,4,6]=>[1,2,5,7,6,4,3]=>[1,2,4,6,5,7,3]=>[7,6,4,2,3,1,5]=>000000
[2,5,1,3,7,6,4]=>[1,2,5,7,4,3,6]=>[1,2,4,7,5,3,6]=>[7,6,4,1,3,5,2]=>000000
[2,5,1,4,3,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[2,5,1,4,3,7,6]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[2,5,1,4,6,3,7]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>000000
[2,5,1,4,6,7,3]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[7,6,1,5,3,2,4]=>000000
[2,5,1,4,7,3,6]=>[1,2,5,7,6,3,4]=>[1,2,6,3,5,7,4]=>[7,6,2,5,3,1,4]=>000000
[2,5,1,4,7,6,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>000000
[2,5,1,6,3,4,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[2,5,1,6,3,7,4]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[2,5,1,6,4,3,7]=>[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>000000
[2,5,1,6,4,7,3]=>[1,2,5,4,6,7,3]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>000000
[2,5,1,6,7,3,4]=>[1,2,5,7,4,6,3]=>[1,2,6,7,5,4,3]=>[7,6,2,1,3,4,5]=>000000
[2,5,1,6,7,4,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>000000
[2,5,1,7,3,4,6]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>000000
[2,5,1,7,3,6,4]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>000000
[2,5,1,7,4,3,6]=>[1,2,5,4,7,6,3]=>[1,2,6,5,4,7,3]=>[7,6,2,3,4,1,5]=>000000
[2,5,1,7,4,6,3]=>[1,2,5,4,7,3,6]=>[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>000000
[2,5,1,7,6,3,4]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>000000
[2,5,1,7,6,4,3]=>[1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>000000
[2,5,3,1,4,6,7]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>000000
[2,5,3,1,4,7,6]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>000000
[2,5,3,1,6,4,7]=>[1,2,5,6,4,3,7]=>[1,2,4,6,5,3,7]=>[7,6,4,2,3,5,1]=>000000
[2,5,3,1,6,7,4]=>[1,2,5,6,7,4,3]=>[1,2,4,7,5,6,3]=>[7,6,4,1,3,2,5]=>000000
[2,5,3,1,7,4,6]=>[1,2,5,7,6,4,3]=>[1,2,4,6,5,7,3]=>[7,6,4,2,3,1,5]=>000000
[2,5,3,1,7,6,4]=>[1,2,5,7,4,3,6]=>[1,2,4,7,5,3,6]=>[7,6,4,1,3,5,2]=>000000
[2,5,3,4,1,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[2,5,3,4,1,7,6]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[2,5,3,4,6,1,7]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>000000
[2,5,3,4,6,7,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[7,6,1,5,3,2,4]=>000000
[2,5,3,4,7,1,6]=>[1,2,5,7,6,3,4]=>[1,2,6,3,5,7,4]=>[7,6,2,5,3,1,4]=>000000
[2,5,3,4,7,6,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>000000
[2,5,3,6,1,4,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[2,5,3,6,1,7,4]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[2,5,3,6,4,1,7]=>[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>000000
[2,5,3,6,4,7,1]=>[1,2,5,4,6,7,3]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>000000
[2,5,3,6,7,1,4]=>[1,2,5,7,4,6,3]=>[1,2,6,7,5,4,3]=>[7,6,2,1,3,4,5]=>000000
[2,5,3,6,7,4,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>000000
[2,5,3,7,1,4,6]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>000000
[2,5,3,7,1,6,4]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>000000
[2,5,3,7,4,1,6]=>[1,2,5,4,7,6,3]=>[1,2,6,5,4,7,3]=>[7,6,2,3,4,1,5]=>000000
[2,5,3,7,4,6,1]=>[1,2,5,4,7,3,6]=>[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>000000
[2,5,3,7,6,1,4]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>000000
[2,5,3,7,6,4,1]=>[1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>000000
[2,5,4,1,3,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[2,5,4,1,3,7,6]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[2,5,4,1,6,3,7]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>000000
[2,5,4,1,6,7,3]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[7,6,1,5,3,2,4]=>000000
[2,5,4,1,7,3,6]=>[1,2,5,7,6,3,4]=>[1,2,6,3,5,7,4]=>[7,6,2,5,3,1,4]=>000000
[2,5,4,1,7,6,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>000000
[2,5,4,3,1,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[2,5,4,3,1,7,6]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[2,5,4,3,6,1,7]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>000000
[2,5,4,3,6,7,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[7,6,1,5,3,2,4]=>000000
[2,5,4,3,7,1,6]=>[1,2,5,7,6,3,4]=>[1,2,6,3,5,7,4]=>[7,6,2,5,3,1,4]=>000000
[2,5,4,3,7,6,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>000000
[2,5,4,6,1,3,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[2,5,4,6,1,7,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[2,5,4,6,3,1,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[2,5,4,6,3,7,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>000000
[2,5,4,6,7,1,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>000000
[2,5,4,6,7,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>000000
[2,5,4,7,1,3,6]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>000000
[2,5,4,7,1,6,3]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>000000
[2,5,4,7,3,1,6]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>000000
[2,5,4,7,3,6,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>000000
[2,5,4,7,6,1,3]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>000000
[2,5,4,7,6,3,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>000000
[2,5,6,1,3,4,7]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>000000
[2,5,6,1,3,7,4]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>000000
[2,5,6,1,4,3,7]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>000000
[2,5,6,1,4,7,3]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>000000
[2,5,6,1,7,3,4]=>[1,2,5,7,4,3,6]=>[1,2,4,7,5,3,6]=>[7,6,4,1,3,5,2]=>000000
[2,5,6,1,7,4,3]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>000000
[2,5,6,3,1,4,7]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>000000
[2,5,6,3,1,7,4]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>000000
[2,5,6,3,4,1,7]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>000000
[2,5,6,3,4,7,1]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>000000
[2,5,6,3,7,1,4]=>[1,2,5,7,4,3,6]=>[1,2,4,7,5,3,6]=>[7,6,4,1,3,5,2]=>000000
[2,5,6,3,7,4,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>000000
[2,5,6,4,1,3,7]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>000000
[2,5,6,4,1,7,3]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>000000
[2,5,6,4,3,1,7]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>000000
[2,5,6,4,3,7,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>000000
[2,5,6,4,7,1,3]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>000000
[2,5,6,4,7,3,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>000000
[2,5,6,7,1,3,4]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>000000
[2,5,6,7,1,4,3]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>000000
[2,5,6,7,3,1,4]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>000000
[2,5,6,7,3,4,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>000000
[2,5,6,7,4,1,3]=>[1,2,5,4,7,3,6]=>[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>000000
[2,5,6,7,4,3,1]=>[1,2,5,4,7,3,6]=>[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>000000
[2,5,7,1,3,4,6]=>[1,2,5,3,7,6,4]=>[1,2,5,6,3,7,4]=>[7,6,3,2,5,1,4]=>000000
[2,5,7,1,3,6,4]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>000000
[2,5,7,1,4,3,6]=>[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]=>[7,6,4,3,5,1,2]=>000000
[2,5,7,1,4,6,3]=>[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]=>[7,6,4,3,5,1,2]=>000000
[2,5,7,1,6,3,4]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>000000
[2,5,7,1,6,4,3]=>[1,2,5,6,4,3,7]=>[1,2,4,6,5,3,7]=>[7,6,4,2,3,5,1]=>000000
[2,5,7,3,1,4,6]=>[1,2,5,3,7,6,4]=>[1,2,5,6,3,7,4]=>[7,6,3,2,5,1,4]=>000000
[2,5,7,3,1,6,4]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>000000
[2,5,7,3,4,1,6]=>[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]=>[7,6,4,3,5,1,2]=>000000
[2,5,7,3,4,6,1]=>[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]=>[7,6,4,3,5,1,2]=>000000
[2,5,7,3,6,1,4]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>000000
[2,5,7,3,6,4,1]=>[1,2,5,6,4,3,7]=>[1,2,4,6,5,3,7]=>[7,6,4,2,3,5,1]=>000000
[2,5,7,4,1,3,6]=>[1,2,5,3,7,6,4]=>[1,2,5,6,3,7,4]=>[7,6,3,2,5,1,4]=>000000
[2,5,7,4,1,6,3]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>000000
[2,5,7,4,3,1,6]=>[1,2,5,3,7,6,4]=>[1,2,5,6,3,7,4]=>[7,6,3,2,5,1,4]=>000000
[2,5,7,4,3,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>000000
[2,5,7,4,6,1,3]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>000000
[2,5,7,4,6,3,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>000000
[2,5,7,6,1,3,4]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>000000
[2,5,7,6,1,4,3]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>000000
[2,5,7,6,3,1,4]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>000000
[2,5,7,6,3,4,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>000000
[2,5,7,6,4,1,3]=>[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>000000
[2,5,7,6,4,3,1]=>[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>000000
[2,6,1,3,4,5,7]=>[1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7]=>[7,6,4,3,2,5,1]=>000000
[2,6,1,3,4,7,5]=>[1,2,6,7,5,4,3]=>[1,2,4,5,7,6,3]=>[7,6,4,3,1,2,5]=>000000
[2,6,1,3,5,4,7]=>[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>000000
[2,6,1,3,5,7,4]=>[1,2,6,7,4,3,5]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>000000
[2,6,1,3,7,4,5]=>[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>000000
[2,6,1,3,7,5,4]=>[1,2,6,5,7,4,3]=>[1,2,4,7,6,5,3]=>[7,6,4,1,2,3,5]=>000000
[2,6,1,4,3,5,7]=>[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>000000
[2,6,1,4,3,7,5]=>[1,2,6,7,5,3,4]=>[1,2,5,3,7,6,4]=>[7,6,3,5,1,2,4]=>000000
[2,6,1,4,5,3,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[2,6,1,4,5,7,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>000000
[2,6,1,4,7,3,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[2,6,1,4,7,5,3]=>[1,2,6,5,7,3,4]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>000000
[2,6,1,5,3,4,7]=>[1,2,6,4,5,3,7]=>[1,2,5,6,4,3,7]=>[7,6,3,2,4,5,1]=>000000
[2,6,1,5,3,7,4]=>[1,2,6,7,4,5,3]=>[1,2,5,7,4,6,3]=>[7,6,3,1,4,2,5]=>000000
[2,6,1,5,4,3,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[2,6,1,5,4,7,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>000000
[2,6,1,5,7,3,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[2,6,1,5,7,4,3]=>[1,2,6,4,5,7,3]=>[1,2,7,6,4,5,3]=>[7,6,1,2,4,3,5]=>000000
[2,6,1,7,3,4,5]=>[1,2,6,4,7,5,3]=>[1,2,5,7,6,3,4]=>[7,6,3,1,2,5,4]=>000000
[2,6,1,7,3,5,4]=>[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>000000
[2,6,1,7,4,3,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>000000
[2,6,1,7,4,5,3]=>[1,2,6,5,4,7,3]=>[1,2,7,5,6,4,3]=>[7,6,1,3,2,4,5]=>000000
[2,6,1,7,5,3,4]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>000000
[2,6,1,7,5,4,3]=>[1,2,6,4,7,3,5]=>[1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>000000
[2,6,3,1,4,5,7]=>[1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7]=>[7,6,4,3,2,5,1]=>000000
[2,6,3,1,4,7,5]=>[1,2,6,7,5,4,3]=>[1,2,4,5,7,6,3]=>[7,6,4,3,1,2,5]=>000000
[2,6,3,1,5,4,7]=>[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>000000
[2,6,3,1,5,7,4]=>[1,2,6,7,4,3,5]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>000000
[2,6,3,1,7,4,5]=>[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>000000
[2,6,3,1,7,5,4]=>[1,2,6,5,7,4,3]=>[1,2,4,7,6,5,3]=>[7,6,4,1,2,3,5]=>000000
[2,6,3,4,1,5,7]=>[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>000000
[2,6,3,4,1,7,5]=>[1,2,6,7,5,3,4]=>[1,2,5,3,7,6,4]=>[7,6,3,5,1,2,4]=>000000
[2,6,3,4,5,1,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[2,6,3,4,5,7,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>000000
[2,6,3,4,7,1,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[2,6,3,4,7,5,1]=>[1,2,6,5,7,3,4]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>000000
[2,6,3,5,1,4,7]=>[1,2,6,4,5,3,7]=>[1,2,5,6,4,3,7]=>[7,6,3,2,4,5,1]=>000000
[2,6,3,5,1,7,4]=>[1,2,6,7,4,5,3]=>[1,2,5,7,4,6,3]=>[7,6,3,1,4,2,5]=>000000
[2,6,3,5,4,1,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[2,6,3,5,4,7,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>000000
[2,6,3,5,7,1,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[2,6,3,5,7,4,1]=>[1,2,6,4,5,7,3]=>[1,2,7,6,4,5,3]=>[7,6,1,2,4,3,5]=>000000
[2,6,3,7,1,4,5]=>[1,2,6,4,7,5,3]=>[1,2,5,7,6,3,4]=>[7,6,3,1,2,5,4]=>000000
[2,6,3,7,1,5,4]=>[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>000000
[2,6,3,7,4,1,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>000000
[2,6,3,7,4,5,1]=>[1,2,6,5,4,7,3]=>[1,2,7,5,6,4,3]=>[7,6,1,3,2,4,5]=>000000
[2,6,3,7,5,1,4]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>000000
[2,6,3,7,5,4,1]=>[1,2,6,4,7,3,5]=>[1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>000000
[2,6,4,1,3,5,7]=>[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>000000
[2,6,4,1,3,7,5]=>[1,2,6,7,5,3,4]=>[1,2,5,3,7,6,4]=>[7,6,3,5,1,2,4]=>000000
[2,6,4,1,5,3,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[2,6,4,1,5,7,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>000000
[2,6,4,1,7,3,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[2,6,4,1,7,5,3]=>[1,2,6,5,7,3,4]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>000000
[2,6,4,3,1,5,7]=>[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>000000
[2,6,4,3,1,7,5]=>[1,2,6,7,5,3,4]=>[1,2,5,3,7,6,4]=>[7,6,3,5,1,2,4]=>000000
[2,6,4,3,5,1,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[2,6,4,3,5,7,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>000000
[2,6,4,3,7,1,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[2,6,4,3,7,5,1]=>[1,2,6,5,7,3,4]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>000000
[2,6,4,5,1,3,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[2,6,4,5,1,7,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>000000
[2,6,4,5,3,1,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[2,6,4,5,3,7,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>000000
[2,6,4,5,7,1,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[2,6,4,5,7,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>000000
[2,6,4,7,1,3,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>000000
[2,6,4,7,1,5,3]=>[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>000000
[2,6,4,7,3,1,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>000000
[2,6,4,7,3,5,1]=>[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>000000
[2,6,4,7,5,1,3]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>000000
[2,6,4,7,5,3,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>000000
[2,6,5,1,3,4,7]=>[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>000000
[2,6,5,1,3,7,4]=>[1,2,6,7,4,3,5]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>000000
[2,6,5,1,4,3,7]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>000000
[2,6,5,1,4,7,3]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[7,6,1,3,5,2,4]=>000000
[2,6,5,1,7,3,4]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[7,6,2,1,5,3,4]=>000000
[2,6,5,1,7,4,3]=>[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>000000
[2,6,5,3,1,4,7]=>[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>000000
[2,6,5,3,1,7,4]=>[1,2,6,7,4,3,5]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>000000
[2,6,5,3,4,1,7]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>000000
[2,6,5,3,4,7,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[7,6,1,3,5,2,4]=>000000
[2,6,5,3,7,1,4]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[7,6,2,1,5,3,4]=>000000
[2,6,5,3,7,4,1]=>[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>000000
[2,6,5,4,1,3,7]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>000000
[2,6,5,4,1,7,3]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[7,6,1,3,5,2,4]=>000000
[2,6,5,4,3,1,7]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>000000
[2,6,5,4,3,7,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[7,6,1,3,5,2,4]=>000000
[2,6,5,4,7,1,3]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[7,6,2,1,5,3,4]=>000000
[2,6,5,4,7,3,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[7,6,2,1,5,3,4]=>000000
[2,6,5,7,1,3,4]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>000000
[2,6,5,7,1,4,3]=>[1,2,6,4,7,3,5]=>[1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>000000
[2,6,5,7,3,1,4]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>000000
[2,6,5,7,3,4,1]=>[1,2,6,4,7,3,5]=>[1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>000000
[2,6,5,7,4,1,3]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>000000
[2,6,5,7,4,3,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>000000
[2,6,7,1,3,4,5]=>[1,2,6,4,3,7,5]=>[1,2,4,6,7,3,5]=>[7,6,4,2,1,5,3]=>000000
[2,6,7,1,3,5,4]=>[1,2,6,5,3,7,4]=>[1,2,5,6,7,4,3]=>[7,6,3,2,1,4,5]=>000000
[2,6,7,1,4,3,5]=>[1,2,6,3,7,5,4]=>[1,2,6,5,7,3,4]=>[7,6,2,3,1,5,4]=>000000
[2,6,7,1,4,5,3]=>[1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7]=>[7,6,4,3,2,5,1]=>000000
[2,6,7,1,5,3,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>000000
[2,6,7,1,5,4,3]=>[1,2,6,4,3,7,5]=>[1,2,4,6,7,3,5]=>[7,6,4,2,1,5,3]=>000000
[2,6,7,3,1,4,5]=>[1,2,6,4,3,7,5]=>[1,2,4,6,7,3,5]=>[7,6,4,2,1,5,3]=>000000
[2,6,7,3,1,5,4]=>[1,2,6,5,3,7,4]=>[1,2,5,6,7,4,3]=>[7,6,3,2,1,4,5]=>000000
[2,6,7,3,4,1,5]=>[1,2,6,3,7,5,4]=>[1,2,6,5,7,3,4]=>[7,6,2,3,1,5,4]=>000000
[2,6,7,3,4,5,1]=>[1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7]=>[7,6,4,3,2,5,1]=>000000
[2,6,7,3,5,1,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>000000
[2,6,7,3,5,4,1]=>[1,2,6,4,3,7,5]=>[1,2,4,6,7,3,5]=>[7,6,4,2,1,5,3]=>000000
[2,6,7,4,1,3,5]=>[1,2,6,3,7,5,4]=>[1,2,6,5,7,3,4]=>[7,6,2,3,1,5,4]=>000000
[2,6,7,4,1,5,3]=>[1,2,6,5,3,7,4]=>[1,2,5,6,7,4,3]=>[7,6,3,2,1,4,5]=>000000
[2,6,7,4,3,1,5]=>[1,2,6,3,7,5,4]=>[1,2,6,5,7,3,4]=>[7,6,2,3,1,5,4]=>000000
[2,6,7,4,3,5,1]=>[1,2,6,5,3,7,4]=>[1,2,5,6,7,4,3]=>[7,6,3,2,1,4,5]=>000000
[2,6,7,4,5,1,3]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>000000
[2,6,7,4,5,3,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>000000
[2,6,7,5,1,3,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>000000
[2,6,7,5,1,4,3]=>[1,2,6,4,5,3,7]=>[1,2,5,6,4,3,7]=>[7,6,3,2,4,5,1]=>000000
[2,6,7,5,3,1,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>000000
[2,6,7,5,3,4,1]=>[1,2,6,4,5,3,7]=>[1,2,5,6,4,3,7]=>[7,6,3,2,4,5,1]=>000000
[2,6,7,5,4,1,3]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>000000
[2,6,7,5,4,3,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>000000
[2,7,1,3,4,5,6]=>[1,2,7,6,5,4,3]=>[1,2,4,5,6,7,3]=>[7,6,4,3,2,1,5]=>000000
[2,7,1,3,4,6,5]=>[1,2,7,5,4,3,6]=>[1,2,4,5,7,3,6]=>[7,6,4,3,1,5,2]=>000000
[2,7,1,3,5,4,6]=>[1,2,7,6,4,3,5]=>[1,2,4,6,3,7,5]=>[7,6,4,2,5,1,3]=>000000
[2,7,1,3,5,6,4]=>[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>000000
[2,7,1,3,6,4,5]=>[1,2,7,5,6,4,3]=>[1,2,4,6,7,5,3]=>[7,6,4,2,1,3,5]=>000000
[2,7,1,3,6,5,4]=>[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>000000
[2,7,1,4,3,5,6]=>[1,2,7,6,5,3,4]=>[1,2,5,3,6,7,4]=>[7,6,3,5,2,1,4]=>000000
[2,7,1,4,3,6,5]=>[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>000000
[2,7,1,4,5,3,6]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>000000
[2,7,1,4,5,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[2,7,1,4,6,3,5]=>[1,2,7,5,6,3,4]=>[1,2,6,3,7,5,4]=>[7,6,2,5,1,3,4]=>000000
[2,7,1,4,6,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[2,7,1,5,3,4,6]=>[1,2,7,6,4,5,3]=>[1,2,5,6,4,7,3]=>[7,6,3,2,4,1,5]=>000000
[2,7,1,5,3,6,4]=>[1,2,7,4,5,3,6]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>000000
[2,7,1,5,4,3,6]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>000000
[2,7,1,5,4,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[2,7,1,5,6,3,4]=>[1,2,7,4,5,6,3]=>[1,2,6,7,4,5,3]=>[7,6,2,1,4,3,5]=>000000
[2,7,1,5,6,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[2,7,1,6,3,4,5]=>[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>000000
[2,7,1,6,3,5,4]=>[1,2,7,4,6,5,3]=>[1,2,5,6,7,3,4]=>[7,6,3,2,1,5,4]=>000000
[2,7,1,6,4,3,5]=>[1,2,7,5,4,6,3]=>[1,2,6,5,7,4,3]=>[7,6,2,3,1,4,5]=>000000
[2,7,1,6,4,5,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>000000
[2,7,1,6,5,3,4]=>[1,2,7,4,6,3,5]=>[1,2,6,7,3,4,5]=>[7,6,2,1,5,4,3]=>000000
[2,7,1,6,5,4,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>000000
[2,7,3,1,4,5,6]=>[1,2,7,6,5,4,3]=>[1,2,4,5,6,7,3]=>[7,6,4,3,2,1,5]=>000000
[2,7,3,1,4,6,5]=>[1,2,7,5,4,3,6]=>[1,2,4,5,7,3,6]=>[7,6,4,3,1,5,2]=>000000
[2,7,3,1,5,4,6]=>[1,2,7,6,4,3,5]=>[1,2,4,6,3,7,5]=>[7,6,4,2,5,1,3]=>000000
[2,7,3,1,5,6,4]=>[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>000000
[2,7,3,1,6,4,5]=>[1,2,7,5,6,4,3]=>[1,2,4,6,7,5,3]=>[7,6,4,2,1,3,5]=>000000
[2,7,3,1,6,5,4]=>[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>000000
[2,7,3,4,1,5,6]=>[1,2,7,6,5,3,4]=>[1,2,5,3,6,7,4]=>[7,6,3,5,2,1,4]=>000000
[2,7,3,4,1,6,5]=>[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>000000
[2,7,3,4,5,1,6]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>000000
[2,7,3,4,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[2,7,3,4,6,1,5]=>[1,2,7,5,6,3,4]=>[1,2,6,3,7,5,4]=>[7,6,2,5,1,3,4]=>000000
[2,7,3,4,6,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[2,7,3,5,1,4,6]=>[1,2,7,6,4,5,3]=>[1,2,5,6,4,7,3]=>[7,6,3,2,4,1,5]=>000000
[2,7,3,5,1,6,4]=>[1,2,7,4,5,3,6]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>000000
[2,7,3,5,4,1,6]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>000000
[2,7,3,5,4,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[2,7,3,5,6,1,4]=>[1,2,7,4,5,6,3]=>[1,2,6,7,4,5,3]=>[7,6,2,1,4,3,5]=>000000
[2,7,3,5,6,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[2,7,3,6,1,4,5]=>[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>000000
[2,7,3,6,1,5,4]=>[1,2,7,4,6,5,3]=>[1,2,5,6,7,3,4]=>[7,6,3,2,1,5,4]=>000000
[2,7,3,6,4,1,5]=>[1,2,7,5,4,6,3]=>[1,2,6,5,7,4,3]=>[7,6,2,3,1,4,5]=>000000
[2,7,3,6,4,5,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>000000
[2,7,3,6,5,1,4]=>[1,2,7,4,6,3,5]=>[1,2,6,7,3,4,5]=>[7,6,2,1,5,4,3]=>000000
[2,7,3,6,5,4,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>000000
[2,7,4,1,3,5,6]=>[1,2,7,6,5,3,4]=>[1,2,5,3,6,7,4]=>[7,6,3,5,2,1,4]=>000000
[2,7,4,1,3,6,5]=>[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>000000
[2,7,4,1,5,3,6]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>000000
[2,7,4,1,5,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[2,7,4,1,6,3,5]=>[1,2,7,5,6,3,4]=>[1,2,6,3,7,5,4]=>[7,6,2,5,1,3,4]=>000000
[2,7,4,1,6,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[2,7,4,3,1,5,6]=>[1,2,7,6,5,3,4]=>[1,2,5,3,6,7,4]=>[7,6,3,5,2,1,4]=>000000
[2,7,4,3,1,6,5]=>[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>000000
[2,7,4,3,5,1,6]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>000000
[2,7,4,3,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[2,7,4,3,6,1,5]=>[1,2,7,5,6,3,4]=>[1,2,6,3,7,5,4]=>[7,6,2,5,1,3,4]=>000000
[2,7,4,3,6,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[2,7,4,5,1,3,6]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>000000
[2,7,4,5,1,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[2,7,4,5,3,1,6]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>000000
[2,7,4,5,3,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[2,7,4,5,6,1,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[2,7,4,5,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>000000
[2,7,4,6,1,3,5]=>[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>000000
[2,7,4,6,1,5,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>000000
[2,7,4,6,3,1,5]=>[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>000000
[2,7,4,6,3,5,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>000000
[2,7,4,6,5,1,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>000000
[2,7,4,6,5,3,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>000000
[2,7,5,1,3,4,6]=>[1,2,7,6,4,3,5]=>[1,2,4,6,3,7,5]=>[7,6,4,2,5,1,3]=>000000
[2,7,5,1,3,6,4]=>[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>000000
[2,7,5,1,4,3,6]=>[1,2,7,6,3,5,4]=>[1,2,6,5,3,7,4]=>[7,6,2,3,5,1,4]=>000000
[2,7,5,1,4,6,3]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>000000
[2,7,5,1,6,3,4]=>[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>000000
[2,7,5,1,6,4,3]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>000000
[2,7,5,3,1,4,6]=>[1,2,7,6,4,3,5]=>[1,2,4,6,3,7,5]=>[7,6,4,2,5,1,3]=>000000
[2,7,5,3,1,6,4]=>[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>000000
[2,7,5,3,4,1,6]=>[1,2,7,6,3,5,4]=>[1,2,6,5,3,7,4]=>[7,6,2,3,5,1,4]=>000000
[2,7,5,3,4,6,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>000000
[2,7,5,3,6,1,4]=>[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>000000
[2,7,5,3,6,4,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>000000
[2,7,5,4,1,3,6]=>[1,2,7,6,3,5,4]=>[1,2,6,5,3,7,4]=>[7,6,2,3,5,1,4]=>000000
[2,7,5,4,1,6,3]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>000000
[2,7,5,4,3,1,6]=>[1,2,7,6,3,5,4]=>[1,2,6,5,3,7,4]=>[7,6,2,3,5,1,4]=>000000
[2,7,5,4,3,6,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>000000
[2,7,5,4,6,1,3]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>000000
[2,7,5,4,6,3,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>000000
[2,7,5,6,1,3,4]=>[1,2,7,4,6,3,5]=>[1,2,6,7,3,4,5]=>[7,6,2,1,5,4,3]=>000000
[2,7,5,6,1,4,3]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>000000
[2,7,5,6,3,1,4]=>[1,2,7,4,6,3,5]=>[1,2,6,7,3,4,5]=>[7,6,2,1,5,4,3]=>000000
[2,7,5,6,3,4,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>000000
[2,7,5,6,4,1,3]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>000000
[2,7,5,6,4,3,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>000000
[2,7,6,1,3,4,5]=>[1,2,7,5,3,6,4]=>[1,2,5,7,6,4,3]=>[7,6,3,1,2,4,5]=>000000
[2,7,6,1,3,5,4]=>[1,2,7,4,3,6,5]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>000000
[2,7,6,1,4,3,5]=>[1,2,7,5,4,3,6]=>[1,2,4,5,7,3,6]=>[7,6,4,3,1,5,2]=>000000
[2,7,6,1,4,5,3]=>[1,2,7,3,6,5,4]=>[1,2,7,5,6,3,4]=>[7,6,1,3,2,5,4]=>000000
[2,7,6,1,5,3,4]=>[1,2,7,4,3,6,5]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>000000
[2,7,6,1,5,4,3]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>000000
[2,7,6,3,1,4,5]=>[1,2,7,5,3,6,4]=>[1,2,5,7,6,4,3]=>[7,6,3,1,2,4,5]=>000000
[2,7,6,3,1,5,4]=>[1,2,7,4,3,6,5]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>000000
[2,7,6,3,4,1,5]=>[1,2,7,5,4,3,6]=>[1,2,4,5,7,3,6]=>[7,6,4,3,1,5,2]=>000000
[2,7,6,3,4,5,1]=>[1,2,7,3,6,5,4]=>[1,2,7,5,6,3,4]=>[7,6,1,3,2,5,4]=>000000
[2,7,6,3,5,1,4]=>[1,2,7,4,3,6,5]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>000000
[2,7,6,3,5,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>000000
[2,7,6,4,1,3,5]=>[1,2,7,5,3,6,4]=>[1,2,5,7,6,4,3]=>[7,6,3,1,2,4,5]=>000000
[2,7,6,4,1,5,3]=>[1,2,7,3,6,5,4]=>[1,2,7,5,6,3,4]=>[7,6,1,3,2,5,4]=>000000
[2,7,6,4,3,1,5]=>[1,2,7,5,3,6,4]=>[1,2,5,7,6,4,3]=>[7,6,3,1,2,4,5]=>000000
[2,7,6,4,3,5,1]=>[1,2,7,3,6,5,4]=>[1,2,7,5,6,3,4]=>[7,6,1,3,2,5,4]=>000000
[2,7,6,4,5,1,3]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>000000
[2,7,6,4,5,3,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>000000
[2,7,6,5,1,3,4]=>[1,2,7,4,5,3,6]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>000000
[2,7,6,5,1,4,3]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>000000
[2,7,6,5,3,1,4]=>[1,2,7,4,5,3,6]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>000000
[2,7,6,5,3,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>000000
[2,7,6,5,4,1,3]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>000000
[2,7,6,5,4,3,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>000000
[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,1,2,4,5,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,1,2,4,6,5,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,1,2,4,6,7,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,1,2,4,7,5,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>000000
[3,1,2,4,7,6,5]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>000000
[3,1,2,5,4,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,1,2,5,4,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,1,2,5,6,4,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,1,2,5,6,7,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,1,2,5,7,4,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>000000
[3,1,2,5,7,6,4]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>000000
[3,1,2,6,4,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>000000
[3,1,2,6,4,7,5]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>000000
[3,1,2,6,5,4,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>000000
[3,1,2,6,5,7,4]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>000000
[3,1,2,6,7,4,5]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>000000
[3,1,2,6,7,5,4]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>000000
[3,1,2,7,4,5,6]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]=>[7,5,6,4,2,1,3]=>000000
[3,1,2,7,4,6,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>000000
[3,1,2,7,5,4,6]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]=>[7,5,6,4,2,1,3]=>000000
[3,1,2,7,5,6,4]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>000000
[3,1,2,7,6,4,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>000000
[3,1,2,7,6,5,4]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>000000
[3,1,4,2,5,6,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>000000
[3,1,4,2,5,7,6]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>000000
[3,1,4,2,6,5,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>000000
[3,1,4,2,6,7,5]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>000000
[3,1,4,2,7,5,6]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>000000
[3,1,4,2,7,6,5]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>000000
[3,1,4,5,2,6,7]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>000000
[3,1,4,5,2,7,6]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>000000
[3,1,4,5,6,2,7]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>000000
[3,1,4,5,6,7,2]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>000000
[3,1,4,5,7,2,6]=>[1,3,4,5,7,6,2]=>[1,6,3,4,5,7,2]=>[7,2,5,4,3,1,6]=>000000
[3,1,4,5,7,6,2]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[7,1,5,4,3,6,2]=>000000
[3,1,4,6,2,5,7]=>[1,3,4,6,5,2,7]=>[1,5,3,4,6,2,7]=>[7,3,5,4,2,6,1]=>000000
[3,1,4,6,2,7,5]=>[1,3,4,6,7,5,2]=>[1,5,3,4,7,6,2]=>[7,3,5,4,1,2,6]=>000000
[3,1,4,6,5,2,7]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[7,2,5,4,6,3,1]=>000000
[3,1,4,6,5,7,2]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[7,1,5,4,6,2,3]=>000000
[3,1,4,6,7,2,5]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[7,2,5,4,6,3,1]=>000000
[3,1,4,6,7,5,2]=>[1,3,4,6,5,7,2]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>000000
[3,1,4,7,2,5,6]=>[1,3,4,7,6,5,2]=>[1,5,3,4,6,7,2]=>[7,3,5,4,2,1,6]=>000000
[3,1,4,7,2,6,5]=>[1,3,4,7,5,2,6]=>[1,5,3,4,7,2,6]=>[7,3,5,4,1,6,2]=>000000
[3,1,4,7,5,2,6]=>[1,3,4,7,6,2,5]=>[1,6,3,4,2,7,5]=>[7,2,5,4,6,1,3]=>000000
[3,1,4,7,5,6,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[7,1,5,4,6,3,2]=>000000
[3,1,4,7,6,2,5]=>[1,3,4,7,5,6,2]=>[1,6,3,4,7,5,2]=>[7,2,5,4,1,3,6]=>000000
[3,1,4,7,6,5,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[7,1,5,4,6,3,2]=>000000
[3,1,5,2,4,6,7]=>[1,3,5,4,2,6,7]=>[1,4,3,5,2,6,7]=>[7,4,5,3,6,2,1]=>000000
[3,1,5,2,4,7,6]=>[1,3,5,4,2,6,7]=>[1,4,3,5,2,6,7]=>[7,4,5,3,6,2,1]=>000000
[3,1,5,2,6,4,7]=>[1,3,5,6,4,2,7]=>[1,4,3,6,5,2,7]=>[7,4,5,2,3,6,1]=>000000
[3,1,5,2,6,7,4]=>[1,3,5,6,7,4,2]=>[1,4,3,7,5,6,2]=>[7,4,5,1,3,2,6]=>000000
[3,1,5,2,7,4,6]=>[1,3,5,7,6,4,2]=>[1,4,3,6,5,7,2]=>[7,4,5,2,3,1,6]=>000000
[3,1,5,2,7,6,4]=>[1,3,5,7,4,2,6]=>[1,4,3,7,5,2,6]=>[7,4,5,1,3,6,2]=>000000
[3,1,5,4,2,6,7]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>000000
[3,1,5,4,2,7,6]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>000000
[3,1,5,4,6,2,7]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>000000
[3,1,5,4,6,7,2]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[7,1,5,6,3,2,4]=>000000
[3,1,5,4,7,2,6]=>[1,3,5,7,6,2,4]=>[1,6,3,2,5,7,4]=>[7,2,5,6,3,1,4]=>000000
[3,1,5,4,7,6,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>000000
[3,1,5,6,2,4,7]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>000000
[3,1,5,6,2,7,4]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>000000
[3,1,5,6,4,2,7]=>[1,3,5,4,6,2,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>000000
[3,1,5,6,4,7,2]=>[1,3,5,4,6,7,2]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>000000
[3,1,5,6,7,2,4]=>[1,3,5,7,4,6,2]=>[1,6,3,7,5,4,2]=>[7,2,5,1,3,4,6]=>000000
[3,1,5,6,7,4,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>000000
[3,1,5,7,2,4,6]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>000000
[3,1,5,7,2,6,4]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>000000
[3,1,5,7,4,2,6]=>[1,3,5,4,7,6,2]=>[1,6,3,5,4,7,2]=>[7,2,5,3,4,1,6]=>000000
[3,1,5,7,4,6,2]=>[1,3,5,4,7,2,6]=>[1,7,3,5,4,2,6]=>[7,1,5,3,4,6,2]=>000000
[3,1,5,7,6,2,4]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>000000
[3,1,5,7,6,4,2]=>[1,3,5,6,4,7,2]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>000000
[3,1,6,2,4,5,7]=>[1,3,6,5,4,2,7]=>[1,4,3,5,6,2,7]=>[7,4,5,3,2,6,1]=>000000
[3,1,6,2,4,7,5]=>[1,3,6,7,5,4,2]=>[1,4,3,5,7,6,2]=>[7,4,5,3,1,2,6]=>000000
[3,1,6,2,5,4,7]=>[1,3,6,4,2,5,7]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>000000
[3,1,6,2,5,7,4]=>[1,3,6,7,4,2,5]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>000000
[3,1,6,2,7,4,5]=>[1,3,6,4,2,5,7]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>000000
[3,1,6,2,7,5,4]=>[1,3,6,5,7,4,2]=>[1,4,3,7,6,5,2]=>[7,4,5,1,2,3,6]=>000000
[3,1,6,4,2,5,7]=>[1,3,6,5,2,4,7]=>[1,5,3,2,6,4,7]=>[7,3,5,6,2,4,1]=>000000
[3,1,6,4,2,7,5]=>[1,3,6,7,5,2,4]=>[1,5,3,2,7,6,4]=>[7,3,5,6,1,2,4]=>000000
[3,1,6,4,5,2,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>000000
[3,1,6,4,5,7,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>000000
[3,1,6,4,7,2,5]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>000000
[3,1,6,4,7,5,2]=>[1,3,6,5,7,2,4]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>000000
[3,1,6,5,2,4,7]=>[1,3,6,4,5,2,7]=>[1,5,3,6,4,2,7]=>[7,3,5,2,4,6,1]=>000000
[3,1,6,5,2,7,4]=>[1,3,6,7,4,5,2]=>[1,5,3,7,4,6,2]=>[7,3,5,1,4,2,6]=>000000
[3,1,6,5,4,2,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>000000
[3,1,6,5,4,7,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>000000
[3,1,6,5,7,2,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>000000
[3,1,6,5,7,4,2]=>[1,3,6,4,5,7,2]=>[1,7,3,6,4,5,2]=>[7,1,5,2,4,3,6]=>000000
[3,1,6,7,2,4,5]=>[1,3,6,4,7,5,2]=>[1,5,3,7,6,2,4]=>[7,3,5,1,2,6,4]=>000000
[3,1,6,7,2,5,4]=>[1,3,6,5,2,4,7]=>[1,5,3,2,6,4,7]=>[7,3,5,6,2,4,1]=>000000
[3,1,6,7,4,2,5]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[7,2,5,6,1,4,3]=>000000
[3,1,6,7,4,5,2]=>[1,3,6,5,4,7,2]=>[1,7,3,5,6,4,2]=>[7,1,5,3,2,4,6]=>000000
[3,1,6,7,5,2,4]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[7,2,5,6,1,4,3]=>000000
[3,1,6,7,5,4,2]=>[1,3,6,4,7,2,5]=>[1,7,3,6,2,4,5]=>[7,1,5,2,6,4,3]=>000000
[3,1,7,2,4,5,6]=>[1,3,7,6,5,4,2]=>[1,4,3,5,6,7,2]=>[7,4,5,3,2,1,6]=>000000
[3,1,7,2,4,6,5]=>[1,3,7,5,4,2,6]=>[1,4,3,5,7,2,6]=>[7,4,5,3,1,6,2]=>000000
[3,1,7,2,5,4,6]=>[1,3,7,6,4,2,5]=>[1,4,3,6,2,7,5]=>[7,4,5,2,6,1,3]=>000000
[3,1,7,2,5,6,4]=>[1,3,7,4,2,5,6]=>[1,4,3,7,2,5,6]=>[7,4,5,1,6,3,2]=>000000
[3,1,7,2,6,4,5]=>[1,3,7,5,6,4,2]=>[1,4,3,6,7,5,2]=>[7,4,5,2,1,3,6]=>000000
[3,1,7,2,6,5,4]=>[1,3,7,4,2,5,6]=>[1,4,3,7,2,5,6]=>[7,4,5,1,6,3,2]=>000000
[3,1,7,4,2,5,6]=>[1,3,7,6,5,2,4]=>[1,5,3,2,6,7,4]=>[7,3,5,6,2,1,4]=>000000
[3,1,7,4,2,6,5]=>[1,3,7,5,2,4,6]=>[1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>000000
[3,1,7,4,5,2,6]=>[1,3,7,6,2,4,5]=>[1,6,3,2,4,7,5]=>[7,2,5,6,4,1,3]=>000000
[3,1,7,4,5,6,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>000000
[3,1,7,4,6,2,5]=>[1,3,7,5,6,2,4]=>[1,6,3,2,7,5,4]=>[7,2,5,6,1,3,4]=>000000
[3,1,7,4,6,5,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>000000
[3,1,7,5,2,4,6]=>[1,3,7,6,4,5,2]=>[1,5,3,6,4,7,2]=>[7,3,5,2,4,1,6]=>000000
[3,1,7,5,2,6,4]=>[1,3,7,4,5,2,6]=>[1,5,3,7,4,2,6]=>[7,3,5,1,4,6,2]=>000000
[3,1,7,5,4,2,6]=>[1,3,7,6,2,4,5]=>[1,6,3,2,4,7,5]=>[7,2,5,6,4,1,3]=>000000
[3,1,7,5,4,6,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>000000
[3,1,7,5,6,2,4]=>[1,3,7,4,5,6,2]=>[1,6,3,7,4,5,2]=>[7,2,5,1,4,3,6]=>000000
[3,1,7,5,6,4,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>000000
[3,1,7,6,2,4,5]=>[1,3,7,5,2,4,6]=>[1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>000000
[3,1,7,6,2,5,4]=>[1,3,7,4,6,5,2]=>[1,5,3,6,7,2,4]=>[7,3,5,2,1,6,4]=>000000
[3,1,7,6,4,2,5]=>[1,3,7,5,4,6,2]=>[1,6,3,5,7,4,2]=>[7,2,5,3,1,4,6]=>000000
[3,1,7,6,4,5,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[7,1,5,6,2,4,3]=>000000
[3,1,7,6,5,2,4]=>[1,3,7,4,6,2,5]=>[1,6,3,7,2,4,5]=>[7,2,5,1,6,4,3]=>000000
[3,1,7,6,5,4,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[7,1,5,6,2,4,3]=>000000
[3,2,1,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,2,1,4,5,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,2,1,4,6,5,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,2,1,4,6,7,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,2,1,4,7,5,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>000000
[3,2,1,4,7,6,5]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>000000
[3,2,1,5,4,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,2,1,5,4,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,2,1,5,6,4,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,2,1,5,6,7,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,2,1,5,7,4,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>000000
[3,2,1,5,7,6,4]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>000000
[3,2,1,6,4,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>000000
[3,2,1,6,4,7,5]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>000000
[3,2,1,6,5,4,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>000000
[3,2,1,6,5,7,4]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>000000
[3,2,1,6,7,4,5]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>000000
[3,2,1,6,7,5,4]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>000000
[3,2,1,7,4,5,6]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]=>[7,5,6,4,2,1,3]=>000000
[3,2,1,7,4,6,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>000000
[3,2,1,7,5,4,6]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]=>[7,5,6,4,2,1,3]=>000000
[3,2,1,7,5,6,4]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>000000
[3,2,1,7,6,4,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>000000
[3,2,1,7,6,5,4]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>000000
[3,2,4,1,5,6,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>000000
[3,2,4,1,5,7,6]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>000000
[3,2,4,1,6,5,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>000000
[3,2,4,1,6,7,5]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>000000
[3,2,4,1,7,5,6]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>000000
[3,2,4,1,7,6,5]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>000000
[3,2,4,5,1,6,7]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>000000
[3,2,4,5,1,7,6]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>000000
[3,2,4,5,6,1,7]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>000000
[3,2,4,5,6,7,1]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>000000
[3,2,4,5,7,1,6]=>[1,3,4,5,7,6,2]=>[1,6,3,4,5,7,2]=>[7,2,5,4,3,1,6]=>000000
[3,2,4,5,7,6,1]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[7,1,5,4,3,6,2]=>000000
[3,2,4,6,1,5,7]=>[1,3,4,6,5,2,7]=>[1,5,3,4,6,2,7]=>[7,3,5,4,2,6,1]=>000000
[3,2,4,6,1,7,5]=>[1,3,4,6,7,5,2]=>[1,5,3,4,7,6,2]=>[7,3,5,4,1,2,6]=>000000
[3,2,4,6,5,1,7]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[7,2,5,4,6,3,1]=>000000
[3,2,4,6,5,7,1]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[7,1,5,4,6,2,3]=>000000
[3,2,4,6,7,1,5]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[7,2,5,4,6,3,1]=>000000
[3,2,4,6,7,5,1]=>[1,3,4,6,5,7,2]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>000000
[3,2,4,7,1,5,6]=>[1,3,4,7,6,5,2]=>[1,5,3,4,6,7,2]=>[7,3,5,4,2,1,6]=>000000
[3,2,4,7,1,6,5]=>[1,3,4,7,5,2,6]=>[1,5,3,4,7,2,6]=>[7,3,5,4,1,6,2]=>000000
[3,2,4,7,5,1,6]=>[1,3,4,7,6,2,5]=>[1,6,3,4,2,7,5]=>[7,2,5,4,6,1,3]=>000000
[3,2,4,7,5,6,1]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[7,1,5,4,6,3,2]=>000000
[3,2,4,7,6,1,5]=>[1,3,4,7,5,6,2]=>[1,6,3,4,7,5,2]=>[7,2,5,4,1,3,6]=>000000
[3,2,4,7,6,5,1]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[7,1,5,4,6,3,2]=>000000
[3,2,5,1,4,6,7]=>[1,3,5,4,2,6,7]=>[1,4,3,5,2,6,7]=>[7,4,5,3,6,2,1]=>000000
[3,2,5,1,4,7,6]=>[1,3,5,4,2,6,7]=>[1,4,3,5,2,6,7]=>[7,4,5,3,6,2,1]=>000000
[3,2,5,1,6,4,7]=>[1,3,5,6,4,2,7]=>[1,4,3,6,5,2,7]=>[7,4,5,2,3,6,1]=>000000
[3,2,5,1,6,7,4]=>[1,3,5,6,7,4,2]=>[1,4,3,7,5,6,2]=>[7,4,5,1,3,2,6]=>000000
[3,2,5,1,7,4,6]=>[1,3,5,7,6,4,2]=>[1,4,3,6,5,7,2]=>[7,4,5,2,3,1,6]=>000000
[3,2,5,1,7,6,4]=>[1,3,5,7,4,2,6]=>[1,4,3,7,5,2,6]=>[7,4,5,1,3,6,2]=>000000
[3,2,5,4,1,6,7]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>000000
[3,2,5,4,1,7,6]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>000000
[3,2,5,4,6,1,7]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>000000
[3,2,5,4,6,7,1]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[7,1,5,6,3,2,4]=>000000
[3,2,5,4,7,1,6]=>[1,3,5,7,6,2,4]=>[1,6,3,2,5,7,4]=>[7,2,5,6,3,1,4]=>000000
[3,2,5,4,7,6,1]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>000000
[3,2,5,6,1,4,7]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>000000
[3,2,5,6,1,7,4]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>000000
[3,2,5,6,4,1,7]=>[1,3,5,4,6,2,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>000000
[3,2,5,6,4,7,1]=>[1,3,5,4,6,7,2]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>000000
[3,2,5,6,7,1,4]=>[1,3,5,7,4,6,2]=>[1,6,3,7,5,4,2]=>[7,2,5,1,3,4,6]=>000000
[3,2,5,6,7,4,1]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>000000
[3,2,5,7,1,4,6]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>000000
[3,2,5,7,1,6,4]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>000000
[3,2,5,7,4,1,6]=>[1,3,5,4,7,6,2]=>[1,6,3,5,4,7,2]=>[7,2,5,3,4,1,6]=>000000
[3,2,5,7,4,6,1]=>[1,3,5,4,7,2,6]=>[1,7,3,5,4,2,6]=>[7,1,5,3,4,6,2]=>000000
[3,2,5,7,6,1,4]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>000000
[3,2,5,7,6,4,1]=>[1,3,5,6,4,7,2]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>000000
[3,2,6,1,4,5,7]=>[1,3,6,5,4,2,7]=>[1,4,3,5,6,2,7]=>[7,4,5,3,2,6,1]=>000000
[3,2,6,1,4,7,5]=>[1,3,6,7,5,4,2]=>[1,4,3,5,7,6,2]=>[7,4,5,3,1,2,6]=>000000
[3,2,6,1,5,4,7]=>[1,3,6,4,2,5,7]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>000000
[3,2,6,1,5,7,4]=>[1,3,6,7,4,2,5]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>000000
[3,2,6,1,7,4,5]=>[1,3,6,4,2,5,7]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>000000
[3,2,6,1,7,5,4]=>[1,3,6,5,7,4,2]=>[1,4,3,7,6,5,2]=>[7,4,5,1,2,3,6]=>000000
[3,2,6,4,1,5,7]=>[1,3,6,5,2,4,7]=>[1,5,3,2,6,4,7]=>[7,3,5,6,2,4,1]=>000000
[3,2,6,4,1,7,5]=>[1,3,6,7,5,2,4]=>[1,5,3,2,7,6,4]=>[7,3,5,6,1,2,4]=>000000
[3,2,6,4,5,1,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>000000
[3,2,6,4,5,7,1]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>000000
[3,2,6,4,7,1,5]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>000000
[3,2,6,4,7,5,1]=>[1,3,6,5,7,2,4]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>000000
[3,2,6,5,1,4,7]=>[1,3,6,4,5,2,7]=>[1,5,3,6,4,2,7]=>[7,3,5,2,4,6,1]=>000000
[3,2,6,5,1,7,4]=>[1,3,6,7,4,5,2]=>[1,5,3,7,4,6,2]=>[7,3,5,1,4,2,6]=>000000
[3,2,6,5,4,1,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>000000
[3,2,6,5,4,7,1]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>000000
[3,2,6,5,7,1,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>000000
[3,2,6,5,7,4,1]=>[1,3,6,4,5,7,2]=>[1,7,3,6,4,5,2]=>[7,1,5,2,4,3,6]=>000000
[3,2,6,7,1,4,5]=>[1,3,6,4,7,5,2]=>[1,5,3,7,6,2,4]=>[7,3,5,1,2,6,4]=>000000
[3,2,6,7,1,5,4]=>[1,3,6,5,2,4,7]=>[1,5,3,2,6,4,7]=>[7,3,5,6,2,4,1]=>000000
[3,2,6,7,4,1,5]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[7,2,5,6,1,4,3]=>000000
[3,2,6,7,4,5,1]=>[1,3,6,5,4,7,2]=>[1,7,3,5,6,4,2]=>[7,1,5,3,2,4,6]=>000000
[3,2,6,7,5,1,4]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[7,2,5,6,1,4,3]=>000000
[3,2,6,7,5,4,1]=>[1,3,6,4,7,2,5]=>[1,7,3,6,2,4,5]=>[7,1,5,2,6,4,3]=>000000
[3,2,7,1,4,5,6]=>[1,3,7,6,5,4,2]=>[1,4,3,5,6,7,2]=>[7,4,5,3,2,1,6]=>000000
[3,2,7,1,4,6,5]=>[1,3,7,5,4,2,6]=>[1,4,3,5,7,2,6]=>[7,4,5,3,1,6,2]=>000000
[3,2,7,1,5,4,6]=>[1,3,7,6,4,2,5]=>[1,4,3,6,2,7,5]=>[7,4,5,2,6,1,3]=>000000
[3,2,7,1,5,6,4]=>[1,3,7,4,2,5,6]=>[1,4,3,7,2,5,6]=>[7,4,5,1,6,3,2]=>000000
[3,2,7,1,6,4,5]=>[1,3,7,5,6,4,2]=>[1,4,3,6,7,5,2]=>[7,4,5,2,1,3,6]=>000000
[3,2,7,1,6,5,4]=>[1,3,7,4,2,5,6]=>[1,4,3,7,2,5,6]=>[7,4,5,1,6,3,2]=>000000
[3,2,7,4,1,5,6]=>[1,3,7,6,5,2,4]=>[1,5,3,2,6,7,4]=>[7,3,5,6,2,1,4]=>000000
[3,2,7,4,1,6,5]=>[1,3,7,5,2,4,6]=>[1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>000000
[3,2,7,4,5,1,6]=>[1,3,7,6,2,4,5]=>[1,6,3,2,4,7,5]=>[7,2,5,6,4,1,3]=>000000
[3,2,7,4,5,6,1]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>000000
[3,2,7,4,6,1,5]=>[1,3,7,5,6,2,4]=>[1,6,3,2,7,5,4]=>[7,2,5,6,1,3,4]=>000000
[3,2,7,4,6,5,1]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>000000
[3,2,7,5,1,4,6]=>[1,3,7,6,4,5,2]=>[1,5,3,6,4,7,2]=>[7,3,5,2,4,1,6]=>000000
[3,2,7,5,1,6,4]=>[1,3,7,4,5,2,6]=>[1,5,3,7,4,2,6]=>[7,3,5,1,4,6,2]=>000000
[3,2,7,5,4,1,6]=>[1,3,7,6,2,4,5]=>[1,6,3,2,4,7,5]=>[7,2,5,6,4,1,3]=>000000
[3,2,7,5,4,6,1]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>000000
[3,2,7,5,6,1,4]=>[1,3,7,4,5,6,2]=>[1,6,3,7,4,5,2]=>[7,2,5,1,4,3,6]=>000000
[3,2,7,5,6,4,1]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>000000
[3,2,7,6,1,4,5]=>[1,3,7,5,2,4,6]=>[1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>000000
[3,2,7,6,1,5,4]=>[1,3,7,4,6,5,2]=>[1,5,3,6,7,2,4]=>[7,3,5,2,1,6,4]=>000000
[3,2,7,6,4,1,5]=>[1,3,7,5,4,6,2]=>[1,6,3,5,7,4,2]=>[7,2,5,3,1,4,6]=>000000
[3,2,7,6,4,5,1]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[7,1,5,6,2,4,3]=>000000
[3,2,7,6,5,1,4]=>[1,3,7,4,6,2,5]=>[1,6,3,7,2,4,5]=>[7,2,5,1,6,4,3]=>000000
[3,2,7,6,5,4,1]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[7,1,5,6,2,4,3]=>000000
[3,4,1,2,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,4,1,2,5,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,4,1,2,6,5,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,4,1,2,6,7,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,4,1,2,7,5,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>000000
[3,4,1,2,7,6,5]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>000000
[3,4,1,5,2,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,4,1,5,2,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,4,1,5,6,2,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,4,1,5,6,7,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,4,1,5,7,2,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>000000
[3,4,1,5,7,6,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>000000
[3,4,1,6,2,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>000000
[3,4,1,6,2,7,5]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>000000
[3,4,1,6,5,2,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>000000
[3,4,1,6,5,7,2]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>000000
[3,4,1,6,7,2,5]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>000000
[3,4,1,6,7,5,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>000000
[3,4,1,7,2,5,6]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]=>[7,5,6,4,2,1,3]=>000000
[3,4,1,7,2,6,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>000000
[3,4,1,7,5,2,6]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]=>[7,5,6,4,2,1,3]=>000000
[3,4,1,7,5,6,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>000000
[3,4,1,7,6,2,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>000000
[3,4,1,7,6,5,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>000000
[3,4,2,1,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,4,2,1,5,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,4,2,1,6,5,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,4,2,1,6,7,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,4,2,1,7,5,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>000000
[3,4,2,1,7,6,5]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>000000
[3,4,2,5,1,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,4,2,5,1,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,4,2,5,6,1,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,4,2,5,6,7,1]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>000000
[3,4,2,5,7,1,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>000000
[3,4,2,5,7,6,1]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>000000
[3,4,2,6,1,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>000000
[3,4,2,6,1,7,5]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>000000
[3,4,2,6,5,1,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>000000
[3,4,2,6,5,7,1]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>000000
[3,4,2,6,7,1,5]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>000000
[3,4,2,6,7,5,1]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>000000
[3,4,2,7,1,5,6]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]=>[7,5,6,4,2,1,3]=>000000
[3,4,2,7,1,6,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>000000
[3,4,2,7,5,1,6]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]=>[7,5,6,4,2,1,3]=>000000
[3,4,2,7,5,6,1]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>000000
[3,4,2,7,6,1,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>000000
[3,4,2,7,6,5,1]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>000000
[3,4,5,1,2,6,7]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>000000
[3,4,5,1,2,7,6]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>000000
[3,4,5,1,6,2,7]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>000000
[3,4,5,1,6,7,2]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[7,1,5,6,3,2,4]=>000000
[3,4,5,1,7,2,6]=>[1,3,5,7,6,2,4]=>[1,6,3,2,5,7,4]=>[7,2,5,6,3,1,4]=>000000
[3,4,5,1,7,6,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>000000
[3,4,5,2,1,6,7]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>000000
[3,4,5,2,1,7,6]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>000000
[3,4,5,2,6,1,7]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>000000
[3,4,5,2,6,7,1]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[7,1,5,6,3,2,4]=>000000
[3,4,5,2,7,1,6]=>[1,3,5,7,6,2,4]=>[1,6,3,2,5,7,4]=>[7,2,5,6,3,1,4]=>000000
[3,4,5,2,7,6,1]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>000000
[3,4,5,6,1,2,7]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>000000
[3,4,5,6,1,7,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>000000
[3,4,5,6,2,1,7]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>000000
[3,4,5,6,2,7,1]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>000000
[3,4,5,6,7,1,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>000000
[3,4,5,6,7,2,1]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>000000
[3,4,5,7,1,2,6]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>000000
[3,4,5,7,1,6,2]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>000000
[3,4,5,7,2,1,6]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>000000
[3,4,5,7,2,6,1]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>000000
[3,4,5,7,6,1,2]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>000000
[3,4,5,7,6,2,1]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>000000
[3,4,6,1,2,5,7]=>[1,3,6,5,2,4,7]=>[1,5,3,2,6,4,7]=>[7,3,5,6,2,4,1]=>000000
[3,4,6,1,2,7,5]=>[1,3,6,7,5,2,4]=>[1,5,3,2,7,6,4]=>[7,3,5,6,1,2,4]=>000000
[3,4,6,1,5,2,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>000000
[3,4,6,1,5,7,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>000000
[3,4,6,1,7,2,5]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>000000
[3,4,6,1,7,5,2]=>[1,3,6,5,7,2,4]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>000000
[3,4,6,2,1,5,7]=>[1,3,6,5,2,4,7]=>[1,5,3,2,6,4,7]=>[7,3,5,6,2,4,1]=>000000
[3,4,6,2,1,7,5]=>[1,3,6,7,5,2,4]=>[1,5,3,2,7,6,4]=>[7,3,5,6,1,2,4]=>000000
[3,4,6,2,5,1,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>000000
[3,4,6,2,5,7,1]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>000000
[3,4,6,2,7,1,5]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>000000
[3,4,6,2,7,5,1]=>[1,3,6,5,7,2,4]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>000000
[3,4,6,5,1,2,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>000000
[3,4,6,5,1,7,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>000000
[3,4,6,5,2,1,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>000000
[3,4,6,5,2,7,1]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>000000
[3,4,6,5,7,1,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>000000
[3,4,6,5,7,2,1]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>000000
[3,4,6,7,1,2,5]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[7,2,5,6,1,4,3]=>000000
[3,4,6,7,1,5,2]=>[1,3,6,5,2,4,7]=>[1,5,3,2,6,4,7]=>[7,3,5,6,2,4,1]=>000000
[3,4,6,7,2,1,5]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[7,2,5,6,1,4,3]=>000000
[3,4,6,7,2,5,1]=>[1,3,6,5,2,4,7]=>[1,5,3,2,6,4,7]=>[7,3,5,6,2,4,1]=>000000
[3,4,6,7,5,1,2]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[7,2,5,6,1,4,3]=>000000
[3,4,6,7,5,2,1]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[7,2,5,6,1,4,3]=>000000
[3,4,7,1,2,5,6]=>[1,3,7,6,5,2,4]=>[1,5,3,2,6,7,4]=>[7,3,5,6,2,1,4]=>000000
[3,4,7,1,2,6,5]=>[1,3,7,5,2,4,6]=>[1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>000000
[3,4,7,1,5,2,6]=>[1,3,7,6,2,4,5]=>[1,6,3,2,4,7,5]=>[7,2,5,6,4,1,3]=>000000
[3,4,7,1,5,6,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>000000
[3,4,7,1,6,2,5]=>[1,3,7,5,6,2,4]=>[1,6,3,2,7,5,4]=>[7,2,5,6,1,3,4]=>000000
[3,4,7,1,6,5,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>000000
[3,4,7,2,1,5,6]=>[1,3,7,6,5,2,4]=>[1,5,3,2,6,7,4]=>[7,3,5,6,2,1,4]=>000000
[3,4,7,2,1,6,5]=>[1,3,7,5,2,4,6]=>[1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>000000
[3,4,7,2,5,1,6]=>[1,3,7,6,2,4,5]=>[1,6,3,2,4,7,5]=>[7,2,5,6,4,1,3]=>000000
[3,4,7,2,5,6,1]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>000000
[3,4,7,2,6,1,5]=>[1,3,7,5,6,2,4]=>[1,6,3,2,7,5,4]=>[7,2,5,6,1,3,4]=>000000
[3,4,7,2,6,5,1]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>000000
[3,4,7,5,1,2,6]=>[1,3,7,6,2,4,5]=>[1,6,3,2,4,7,5]=>[7,2,5,6,4,1,3]=>000000
[3,4,7,5,1,6,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>000000
[3,4,7,5,2,1,6]=>[1,3,7,6,2,4,5]=>[1,6,3,2,4,7,5]=>[7,2,5,6,4,1,3]=>000000
[3,4,7,5,2,6,1]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>000000
[3,4,7,5,6,1,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>000000
[3,4,7,5,6,2,1]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>000000
[3,4,7,6,1,2,5]=>[1,3,7,5,2,4,6]=>[1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>000000
[3,4,7,6,1,5,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[7,1,5,6,2,4,3]=>000000
[3,4,7,6,2,1,5]=>[1,3,7,5,2,4,6]=>[1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>000000
[3,4,7,6,2,5,1]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[7,1,5,6,2,4,3]=>000000
[3,4,7,6,5,1,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[7,1,5,6,2,4,3]=>000000
[3,4,7,6,5,2,1]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[7,1,5,6,2,4,3]=>000000
[3,5,1,2,4,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>000000
[3,5,1,2,4,7,6]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>000000
[3,5,1,2,6,4,7]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>000000
[3,5,1,2,6,7,4]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>000000
[3,5,1,2,7,4,6]=>[1,3,2,5,7,6,4]=>[1,3,2,6,5,7,4]=>[7,5,6,2,3,1,4]=>000000
[3,5,1,2,7,6,4]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>000000
[3,5,1,4,2,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>000000
[3,5,1,4,2,7,6]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>000000
[3,5,1,4,6,2,7]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>000000
[3,5,1,4,6,7,2]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>000000
[3,5,1,4,7,2,6]=>[1,3,2,5,7,6,4]=>[1,3,2,6,5,7,4]=>[7,5,6,2,3,1,4]=>000000
[3,5,1,4,7,6,2]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>000000
[3,5,1,6,2,4,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>000000
[3,5,1,6,2,7,4]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>000000
[3,5,1,6,4,2,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>000000
[3,5,1,6,4,7,2]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>000000
[3,5,1,6,7,2,4]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>000000
[3,5,1,6,7,4,2]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>000000
[3,5,1,7,2,4,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>000000
[3,5,1,7,2,6,4]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>000000
[3,5,1,7,4,2,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>000000
[3,5,1,7,4,6,2]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>000000
[3,5,1,7,6,2,4]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>000000
[3,5,1,7,6,4,2]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>000000
[3,5,2,1,4,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>000000
[3,5,2,1,4,7,6]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>000000
[3,5,2,1,6,4,7]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>000000
[3,5,2,1,6,7,4]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>000000
[3,5,2,1,7,4,6]=>[1,3,2,5,7,6,4]=>[1,3,2,6,5,7,4]=>[7,5,6,2,3,1,4]=>000000
[3,5,2,1,7,6,4]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>000000
[3,5,2,4,1,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>000000
[3,5,2,4,1,7,6]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>000000
[3,5,2,4,6,1,7]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>000000
[3,5,2,4,6,7,1]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>000000
[3,5,2,4,7,1,6]=>[1,3,2,5,7,6,4]=>[1,3,2,6,5,7,4]=>[7,5,6,2,3,1,4]=>000000
[3,5,2,4,7,6,1]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>000000
[3,5,2,6,1,4,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>000000
[3,5,2,6,1,7,4]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>000000
[3,5,2,6,4,1,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>000000
[3,5,2,6,4,7,1]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>000000
[3,5,2,6,7,1,4]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>000000
[3,5,2,6,7,4,1]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>000000
[3,5,2,7,1,4,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>000000
[3,5,2,7,1,6,4]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>000000
[3,5,2,7,4,1,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>000000
[3,5,2,7,4,6,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>000000
[3,5,2,7,6,1,4]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>000000
[3,5,2,7,6,4,1]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>000000
[3,5,4,1,2,6,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>000000
[3,5,4,1,2,7,6]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>000000
[3,5,4,1,6,2,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>000000
[3,5,4,1,6,7,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>000000
[3,5,4,1,7,2,6]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>000000
[3,5,4,1,7,6,2]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>000000
[3,5,4,2,1,6,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>000000
[3,5,4,2,1,7,6]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>000000
[3,5,4,2,6,1,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>000000
[3,5,4,2,6,7,1]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>000000
[3,5,4,2,7,1,6]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>000000
[3,5,4,2,7,6,1]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>000000
[3,5,4,6,1,2,7]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[7,2,5,4,6,3,1]=>000000
[3,5,4,6,1,7,2]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[7,1,5,4,6,2,3]=>000000
[3,5,4,6,2,1,7]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[7,2,5,4,6,3,1]=>000000
[3,5,4,6,2,7,1]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[7,1,5,4,6,2,3]=>000000
[3,5,4,6,7,1,2]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[7,2,5,4,6,3,1]=>000000
[3,5,4,6,7,2,1]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[7,2,5,4,6,3,1]=>000000
[3,5,4,7,1,2,6]=>[1,3,4,7,6,2,5]=>[1,6,3,4,2,7,5]=>[7,2,5,4,6,1,3]=>000000
[3,5,4,7,1,6,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[7,1,5,4,6,3,2]=>000000
[3,5,4,7,2,1,6]=>[1,3,4,7,6,2,5]=>[1,6,3,4,2,7,5]=>[7,2,5,4,6,1,3]=>000000
[3,5,4,7,2,6,1]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[7,1,5,4,6,3,2]=>000000
[3,5,4,7,6,1,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[7,1,5,4,6,3,2]=>000000
[3,5,4,7,6,2,1]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[7,1,5,4,6,3,2]=>000000
[3,5,6,1,2,4,7]=>[1,3,6,4,2,5,7]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>000000
[3,5,6,1,2,7,4]=>[1,3,6,7,4,2,5]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>000000
[3,5,6,1,4,2,7]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>000000
[3,5,6,1,4,7,2]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>[7,1,5,3,6,2,4]=>000000
[3,5,6,1,7,2,4]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>[7,2,5,1,6,3,4]=>000000
[3,5,6,1,7,4,2]=>[1,3,6,4,2,5,7]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>000000
[3,5,6,2,1,4,7]=>[1,3,6,4,2,5,7]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>000000
[3,5,6,2,1,7,4]=>[1,3,6,7,4,2,5]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>000000
[3,5,6,2,4,1,7]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>000000
[3,5,6,2,4,7,1]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>[7,1,5,3,6,2,4]=>000000
[3,5,6,2,7,1,4]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>[7,2,5,1,6,3,4]=>000000
[3,5,6,2,7,4,1]=>[1,3,6,4,2,5,7]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>000000
[3,5,6,4,1,2,7]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>000000
[3,5,6,4,1,7,2]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>[7,1,5,3,6,2,4]=>000000
[3,5,6,4,2,1,7]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>000000
[3,5,6,4,2,7,1]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>[7,1,5,3,6,2,4]=>000000
[3,5,6,4,7,1,2]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>[7,2,5,1,6,3,4]=>000000
[3,5,6,4,7,2,1]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>[7,2,5,1,6,3,4]=>000000
[3,5,6,7,1,2,4]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>000000
[3,5,6,7,1,4,2]=>[1,3,6,4,7,2,5]=>[1,7,3,6,2,4,5]=>[7,1,5,2,6,4,3]=>000000
[3,5,6,7,2,1,4]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>000000
[3,5,6,7,2,4,1]=>[1,3,6,4,7,2,5]=>[1,7,3,6,2,4,5]=>[7,1,5,2,6,4,3]=>000000
[3,5,6,7,4,1,2]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>000000
[3,5,6,7,4,2,1]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>000000
[3,5,7,1,2,4,6]=>[1,3,7,6,4,2,5]=>[1,4,3,6,2,7,5]=>[7,4,5,2,6,1,3]=>000000
[3,5,7,1,2,6,4]=>[1,3,7,4,2,5,6]=>[1,4,3,7,2,5,6]=>[7,4,5,1,6,3,2]=>000000
[3,5,7,1,4,2,6]=>[1,3,7,6,2,5,4]=>[1,6,3,5,2,7,4]=>[7,2,5,3,6,1,4]=>000000
[3,5,7,1,4,6,2]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>000000
[3,5,7,1,6,2,4]=>[1,3,7,4,2,5,6]=>[1,4,3,7,2,5,6]=>[7,4,5,1,6,3,2]=>000000
[3,5,7,1,6,4,2]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>000000
[3,5,7,2,1,4,6]=>[1,3,7,6,4,2,5]=>[1,4,3,6,2,7,5]=>[7,4,5,2,6,1,3]=>000000
[3,5,7,2,1,6,4]=>[1,3,7,4,2,5,6]=>[1,4,3,7,2,5,6]=>[7,4,5,1,6,3,2]=>000000
[3,5,7,2,4,1,6]=>[1,3,7,6,2,5,4]=>[1,6,3,5,2,7,4]=>[7,2,5,3,6,1,4]=>000000
[3,5,7,2,4,6,1]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>000000
[3,5,7,2,6,1,4]=>[1,3,7,4,2,5,6]=>[1,4,3,7,2,5,6]=>[7,4,5,1,6,3,2]=>000000
[3,5,7,2,6,4,1]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>000000
[3,5,7,4,1,2,6]=>[1,3,7,6,2,5,4]=>[1,6,3,5,2,7,4]=>[7,2,5,3,6,1,4]=>000000
[3,5,7,4,1,6,2]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>000000
[3,5,7,4,2,1,6]=>[1,3,7,6,2,5,4]=>[1,6,3,5,2,7,4]=>[7,2,5,3,6,1,4]=>000000
[3,5,7,4,2,6,1]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>000000
[3,5,7,4,6,1,2]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>000000
[3,5,7,4,6,2,1]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>000000
[3,5,7,6,1,2,4]=>[1,3,7,4,6,2,5]=>[1,6,3,7,2,4,5]=>[7,2,5,1,6,4,3]=>000000
[3,5,7,6,1,4,2]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>000000
[3,5,7,6,2,1,4]=>[1,3,7,4,6,2,5]=>[1,6,3,7,2,4,5]=>[7,2,5,1,6,4,3]=>000000
[3,5,7,6,2,4,1]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>000000
[3,5,7,6,4,1,2]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>000000
[3,5,7,6,4,2,1]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>000000
[3,6,1,2,4,5,7]=>[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]=>[7,5,6,3,2,4,1]=>000000
[3,6,1,2,4,7,5]=>[1,3,2,6,7,5,4]=>[1,3,2,5,7,6,4]=>[7,5,6,3,1,2,4]=>000000
[3,6,1,2,5,4,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>000000
[3,6,1,2,5,7,4]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>000000
[3,6,1,2,7,4,5]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>000000
[3,6,1,2,7,5,4]=>[1,3,2,6,5,7,4]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>000000
[3,6,1,4,2,5,7]=>[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]=>[7,5,6,3,2,4,1]=>000000
[3,6,1,4,2,7,5]=>[1,3,2,6,7,5,4]=>[1,3,2,5,7,6,4]=>[7,5,6,3,1,2,4]=>000000
[3,6,1,4,5,2,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>000000
[3,6,1,4,5,7,2]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>000000
[3,6,1,4,7,2,5]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>000000
[3,6,1,4,7,5,2]=>[1,3,2,6,5,7,4]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>000000
[3,6,1,5,2,4,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>000000
[3,6,1,5,2,7,4]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>000000
[3,6,1,5,4,2,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>000000
[3,6,1,5,4,7,2]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>000000
[3,6,1,5,7,2,4]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>000000
[3,6,1,5,7,4,2]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>000000
[3,6,1,7,2,4,5]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>000000
[3,6,1,7,2,5,4]=>[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]=>[7,5,6,3,2,4,1]=>000000
[3,6,1,7,4,2,5]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>000000
[3,6,1,7,4,5,2]=>[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]=>[7,5,6,3,2,4,1]=>000000
[3,6,1,7,5,2,4]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>000000
[3,6,1,7,5,4,2]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>000000
[3,6,2,1,4,5,7]=>[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]=>[7,5,6,3,2,4,1]=>000000
[3,6,2,1,4,7,5]=>[1,3,2,6,7,5,4]=>[1,3,2,5,7,6,4]=>[7,5,6,3,1,2,4]=>000000
[3,6,2,1,5,4,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>000000
[3,6,2,1,5,7,4]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>000000
[3,6,2,1,7,4,5]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>000000
[3,6,2,1,7,5,4]=>[1,3,2,6,5,7,4]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>000000
[3,6,2,4,1,5,7]=>[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]=>[7,5,6,3,2,4,1]=>000000
[3,6,2,4,1,7,5]=>[1,3,2,6,7,5,4]=>[1,3,2,5,7,6,4]=>[7,5,6,3,1,2,4]=>000000
[3,6,2,4,5,1,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>000000
[3,6,2,4,5,7,1]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>000000
[3,6,2,4,7,1,5]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>000000
[3,6,2,4,7,5,1]=>[1,3,2,6,5,7,4]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>000000
[3,6,2,5,1,4,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>000000
[3,6,2,5,1,7,4]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>000000
[3,6,2,5,4,1,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>000000
[3,6,2,5,4,7,1]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>000000
[3,6,2,5,7,1,4]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>000000
[3,6,2,5,7,4,1]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>000000
[3,6,2,7,1,4,5]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>000000
[3,6,2,7,1,5,4]=>[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]=>[7,5,6,3,2,4,1]=>000000
[3,6,2,7,4,1,5]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>000000
[3,6,2,7,4,5,1]=>[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]=>[7,5,6,3,2,4,1]=>000000
[3,6,2,7,5,1,4]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>000000
[3,6,2,7,5,4,1]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>000000
[3,6,4,1,2,5,7]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>000000
[3,6,4,1,2,7,5]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>000000
[3,6,4,1,5,2,7]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>000000
[3,6,4,1,5,7,2]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>000000
[3,6,4,1,7,2,5]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>000000
[3,6,4,1,7,5,2]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>000000
[3,6,4,2,1,5,7]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>000000
[3,6,4,2,1,7,5]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>000000
[3,6,4,2,5,1,7]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>000000
[3,6,4,2,5,7,1]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>000000
[3,6,4,2,7,1,5]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>000000
[3,6,4,2,7,5,1]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>000000
[3,6,4,5,1,2,7]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>000000
[3,6,4,5,1,7,2]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>000000
[3,6,4,5,2,1,7]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>000000
[3,6,4,5,2,7,1]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>000000
[3,6,4,5,7,1,2]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[7,1,5,4,3,6,2]=>000000
[3,6,4,5,7,2,1]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[7,1,5,4,3,6,2]=>000000
[3,6,4,7,1,2,5]=>[1,3,4,7,5,2,6]=>[1,5,3,4,7,2,6]=>[7,3,5,4,1,6,2]=>000000
[3,6,4,7,1,5,2]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>[7,1,5,4,2,6,3]=>000000
[3,6,4,7,2,1,5]=>[1,3,4,7,5,2,6]=>[1,5,3,4,7,2,6]=>[7,3,5,4,1,6,2]=>000000
[3,6,4,7,2,5,1]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>[7,1,5,4,2,6,3]=>000000
[3,6,4,7,5,1,2]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>[7,1,5,4,2,6,3]=>000000
[3,6,4,7,5,2,1]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>[7,1,5,4,2,6,3]=>000000
[3,6,5,1,2,4,7]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>000000
[3,6,5,1,2,7,4]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>000000
[3,6,5,1,4,2,7]=>[1,3,5,4,2,6,7]=>[1,4,3,5,2,6,7]=>[7,4,5,3,6,2,1]=>000000
[3,6,5,1,4,7,2]=>[1,3,5,4,2,6,7]=>[1,4,3,5,2,6,7]=>[7,4,5,3,6,2,1]=>000000
[3,6,5,1,7,2,4]=>[1,3,5,7,4,2,6]=>[1,4,3,7,5,2,6]=>[7,4,5,1,3,6,2]=>000000
[3,6,5,1,7,4,2]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>000000
[3,6,5,2,1,4,7]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>000000
[3,6,5,2,1,7,4]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>000000
[3,6,5,2,4,1,7]=>[1,3,5,4,2,6,7]=>[1,4,3,5,2,6,7]=>[7,4,5,3,6,2,1]=>000000
[3,6,5,2,4,7,1]=>[1,3,5,4,2,6,7]=>[1,4,3,5,2,6,7]=>[7,4,5,3,6,2,1]=>000000
[3,6,5,2,7,1,4]=>[1,3,5,7,4,2,6]=>[1,4,3,7,5,2,6]=>[7,4,5,1,3,6,2]=>000000
[3,6,5,2,7,4,1]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>000000
[3,6,5,4,1,2,7]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>000000
[3,6,5,4,1,7,2]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>000000
[3,6,5,4,2,1,7]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>000000
[3,6,5,4,2,7,1]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>000000
[3,6,5,4,7,1,2]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>000000
[3,6,5,4,7,2,1]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>000000
[3,6,5,7,1,2,4]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>000000
[3,6,5,7,1,4,2]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>000000
[3,6,5,7,2,1,4]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>000000
[3,6,5,7,2,4,1]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>000000
[3,6,5,7,4,1,2]=>[1,3,5,4,7,2,6]=>[1,7,3,5,4,2,6]=>[7,1,5,3,4,6,2]=>000000
[3,6,5,7,4,2,1]=>[1,3,5,4,7,2,6]=>[1,7,3,5,4,2,6]=>[7,1,5,3,4,6,2]=>000000
[3,6,7,1,2,4,5]=>[1,3,7,5,2,6,4]=>[1,5,3,7,6,4,2]=>[7,3,5,1,2,4,6]=>000000
[3,6,7,1,2,5,4]=>[1,3,7,4,2,6,5]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>000000
[3,6,7,1,4,2,5]=>[1,3,7,5,4,2,6]=>[1,4,3,5,7,2,6]=>[7,4,5,3,1,6,2]=>000000
[3,6,7,1,4,5,2]=>[1,3,7,2,6,5,4]=>[1,7,3,5,6,2,4]=>[7,1,5,3,2,6,4]=>000000
[3,6,7,1,5,2,4]=>[1,3,7,4,2,6,5]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>000000
[3,6,7,1,5,4,2]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[7,1,5,2,4,6,3]=>000000
[3,6,7,2,1,4,5]=>[1,3,7,5,2,6,4]=>[1,5,3,7,6,4,2]=>[7,3,5,1,2,4,6]=>000000
[3,6,7,2,1,5,4]=>[1,3,7,4,2,6,5]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>000000
[3,6,7,2,4,1,5]=>[1,3,7,5,4,2,6]=>[1,4,3,5,7,2,6]=>[7,4,5,3,1,6,2]=>000000
[3,6,7,2,4,5,1]=>[1,3,7,2,6,5,4]=>[1,7,3,5,6,2,4]=>[7,1,5,3,2,6,4]=>000000
[3,6,7,2,5,1,4]=>[1,3,7,4,2,6,5]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>000000
[3,6,7,2,5,4,1]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[7,1,5,2,4,6,3]=>000000
[3,6,7,4,1,2,5]=>[1,3,7,5,2,6,4]=>[1,5,3,7,6,4,2]=>[7,3,5,1,2,4,6]=>000000
[3,6,7,4,1,5,2]=>[1,3,7,2,6,5,4]=>[1,7,3,5,6,2,4]=>[7,1,5,3,2,6,4]=>000000
[3,6,7,4,2,1,5]=>[1,3,7,5,2,6,4]=>[1,5,3,7,6,4,2]=>[7,3,5,1,2,4,6]=>000000
[3,6,7,4,2,5,1]=>[1,3,7,2,6,5,4]=>[1,7,3,5,6,2,4]=>[7,1,5,3,2,6,4]=>000000
[3,6,7,4,5,1,2]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[7,1,5,2,4,6,3]=>000000
[3,6,7,4,5,2,1]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[7,1,5,2,4,6,3]=>000000
[3,6,7,5,1,2,4]=>[1,3,7,4,5,2,6]=>[1,5,3,7,4,2,6]=>[7,3,5,1,4,6,2]=>000000
[3,6,7,5,1,4,2]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[7,1,5,2,4,6,3]=>000000
[3,6,7,5,2,1,4]=>[1,3,7,4,5,2,6]=>[1,5,3,7,4,2,6]=>[7,3,5,1,4,6,2]=>000000
[3,6,7,5,2,4,1]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[7,1,5,2,4,6,3]=>000000
[3,6,7,5,4,1,2]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[7,1,5,2,4,6,3]=>000000
[3,6,7,5,4,2,1]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[7,1,5,2,4,6,3]=>000000
[3,7,1,2,4,5,6]=>[1,3,2,7,6,5,4]=>[1,3,2,5,6,7,4]=>[7,5,6,3,2,1,4]=>000000
[3,7,1,2,4,6,5]=>[1,3,2,7,5,4,6]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>000000
[3,7,1,2,5,4,6]=>[1,3,2,7,6,4,5]=>[1,3,2,6,4,7,5]=>[7,5,6,2,4,1,3]=>000000
[3,7,1,2,5,6,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>000000
[3,7,1,2,6,4,5]=>[1,3,2,7,5,6,4]=>[1,3,2,6,7,5,4]=>[7,5,6,2,1,3,4]=>000000
[3,7,1,2,6,5,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>000000
[3,7,1,4,2,5,6]=>[1,3,2,7,6,5,4]=>[1,3,2,5,6,7,4]=>[7,5,6,3,2,1,4]=>000000
[3,7,1,4,2,6,5]=>[1,3,2,7,5,4,6]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>000000
[3,7,1,4,5,2,6]=>[1,3,2,7,6,4,5]=>[1,3,2,6,4,7,5]=>[7,5,6,2,4,1,3]=>000000
[3,7,1,4,5,6,2]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>000000
[3,7,1,4,6,2,5]=>[1,3,2,7,5,6,4]=>[1,3,2,6,7,5,4]=>[7,5,6,2,1,3,4]=>000000
[3,7,1,4,6,5,2]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>000000
[3,7,1,5,2,4,6]=>[1,3,2,7,6,4,5]=>[1,3,2,6,4,7,5]=>[7,5,6,2,4,1,3]=>000000
[3,7,1,5,2,6,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>000000
[3,7,1,5,4,2,6]=>[1,3,2,7,6,4,5]=>[1,3,2,6,4,7,5]=>[7,5,6,2,4,1,3]=>000000
[3,7,1,5,4,6,2]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>000000
[3,7,1,5,6,2,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>000000
[3,7,1,5,6,4,2]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>000000
[3,7,1,6,2,4,5]=>[1,3,2,7,5,4,6]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>000000
[3,7,1,6,2,5,4]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[7,5,6,1,2,4,3]=>000000
[3,7,1,6,4,2,5]=>[1,3,2,7,5,4,6]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>000000
[3,7,1,6,4,5,2]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[7,5,6,1,2,4,3]=>000000
[3,7,1,6,5,2,4]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[7,5,6,1,2,4,3]=>000000
[3,7,1,6,5,4,2]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[7,5,6,1,2,4,3]=>000000
[3,7,2,1,4,5,6]=>[1,3,2,7,6,5,4]=>[1,3,2,5,6,7,4]=>[7,5,6,3,2,1,4]=>000000
[3,7,2,1,4,6,5]=>[1,3,2,7,5,4,6]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>000000
[3,7,2,1,5,4,6]=>[1,3,2,7,6,4,5]=>[1,3,2,6,4,7,5]=>[7,5,6,2,4,1,3]=>000000
[3,7,2,1,5,6,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>000000
[3,7,2,1,6,4,5]=>[1,3,2,7,5,6,4]=>[1,3,2,6,7,5,4]=>[7,5,6,2,1,3,4]=>000000
[3,7,2,1,6,5,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>000000
[3,7,2,4,1,5,6]=>[1,3,2,7,6,5,4]=>[1,3,2,5,6,7,4]=>[7,5,6,3,2,1,4]=>000000
[3,7,2,4,1,6,5]=>[1,3,2,7,5,4,6]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>000000
[3,7,2,4,5,1,6]=>[1,3,2,7,6,4,5]=>[1,3,2,6,4,7,5]=>[7,5,6,2,4,1,3]=>000000
[3,7,2,4,5,6,1]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>000000
[3,7,2,4,6,1,5]=>[1,3,2,7,5,6,4]=>[1,3,2,6,7,5,4]=>[7,5,6,2,1,3,4]=>000000
[3,7,2,4,6,5,1]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>000000
[3,7,2,5,1,4,6]=>[1,3,2,7,6,4,5]=>[1,3,2,6,4,7,5]=>[7,5,6,2,4,1,3]=>000000
[3,7,2,5,1,6,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>000000
[3,7,2,5,4,1,6]=>[1,3,2,7,6,4,5]=>[1,3,2,6,4,7,5]=>[7,5,6,2,4,1,3]=>000000
[3,7,2,5,4,6,1]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>000000
[3,7,2,5,6,1,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>000000
[3,7,2,5,6,4,1]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>000000
[3,7,2,6,1,4,5]=>[1,3,2,7,5,4,6]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>000000
[3,7,2,6,1,5,4]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[7,5,6,1,2,4,3]=>000000
[3,7,2,6,4,1,5]=>[1,3,2,7,5,4,6]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>000000
[3,7,2,6,4,5,1]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[7,5,6,1,2,4,3]=>000000
[3,7,2,6,5,1,4]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[7,5,6,1,2,4,3]=>000000
[3,7,2,6,5,4,1]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[7,5,6,1,2,4,3]=>000000
[3,7,4,1,2,5,6]=>[1,3,4,2,7,6,5]=>[1,4,3,2,6,7,5]=>[7,4,5,6,2,1,3]=>000000
[3,7,4,1,2,6,5]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[7,4,5,6,1,3,2]=>000000
[3,7,4,1,5,2,6]=>[1,3,4,2,7,6,5]=>[1,4,3,2,6,7,5]=>[7,4,5,6,2,1,3]=>000000
[3,7,4,1,5,6,2]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[7,4,5,6,1,3,2]=>000000
[3,7,4,1,6,2,5]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[7,4,5,6,1,3,2]=>000000
[3,7,4,1,6,5,2]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[7,4,5,6,1,3,2]=>000000
[3,7,4,2,1,5,6]=>[1,3,4,2,7,6,5]=>[1,4,3,2,6,7,5]=>[7,4,5,6,2,1,3]=>000000
[3,7,4,2,1,6,5]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[7,4,5,6,1,3,2]=>000000
[3,7,4,2,5,1,6]=>[1,3,4,2,7,6,5]=>[1,4,3,2,6,7,5]=>[7,4,5,6,2,1,3]=>000000
[3,7,4,2,5,6,1]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[7,4,5,6,1,3,2]=>000000
[3,7,4,2,6,1,5]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[7,4,5,6,1,3,2]=>000000
[3,7,4,2,6,5,1]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[7,4,5,6,1,3,2]=>000000
[3,7,4,5,1,2,6]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>000000
[3,7,4,5,1,6,2]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>000000
[3,7,4,5,2,1,6]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>000000
[3,7,4,5,2,6,1]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>000000
[3,7,4,5,6,1,2]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>000000
[3,7,4,5,6,2,1]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>000000
[3,7,4,6,1,2,5]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>000000
[3,7,4,6,1,5,2]=>[1,3,4,6,5,2,7]=>[1,5,3,4,6,2,7]=>[7,3,5,4,2,6,1]=>000000
[3,7,4,6,2,1,5]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>000000
[3,7,4,6,2,5,1]=>[1,3,4,6,5,2,7]=>[1,5,3,4,6,2,7]=>[7,3,5,4,2,6,1]=>000000
[3,7,4,6,5,1,2]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>000000
[3,7,4,6,5,2,1]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>000000
[3,7,5,1,2,4,6]=>[1,3,5,2,7,6,4]=>[1,5,3,6,2,7,4]=>[7,3,5,2,6,1,4]=>000000
[3,7,5,1,2,6,4]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>000000
[3,7,5,1,4,2,6]=>[1,3,5,4,2,7,6]=>[1,4,3,5,2,7,6]=>[7,4,5,3,6,1,2]=>000000
[3,7,5,1,4,6,2]=>[1,3,5,4,2,7,6]=>[1,4,3,5,2,7,6]=>[7,4,5,3,6,1,2]=>000000
[3,7,5,1,6,2,4]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>000000
[3,7,5,1,6,4,2]=>[1,3,5,6,4,2,7]=>[1,4,3,6,5,2,7]=>[7,4,5,2,3,6,1]=>000000
[3,7,5,2,1,4,6]=>[1,3,5,2,7,6,4]=>[1,5,3,6,2,7,4]=>[7,3,5,2,6,1,4]=>000000
[3,7,5,2,1,6,4]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>000000
[3,7,5,2,4,1,6]=>[1,3,5,4,2,7,6]=>[1,4,3,5,2,7,6]=>[7,4,5,3,6,1,2]=>000000
[3,7,5,2,4,6,1]=>[1,3,5,4,2,7,6]=>[1,4,3,5,2,7,6]=>[7,4,5,3,6,1,2]=>000000
[3,7,5,2,6,1,4]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>000000
[3,7,5,2,6,4,1]=>[1,3,5,6,4,2,7]=>[1,4,3,6,5,2,7]=>[7,4,5,2,3,6,1]=>000000
[3,7,5,4,1,2,6]=>[1,3,5,2,7,6,4]=>[1,5,3,6,2,7,4]=>[7,3,5,2,6,1,4]=>000000
[3,7,5,4,1,6,2]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>000000
[3,7,5,4,2,1,6]=>[1,3,5,2,7,6,4]=>[1,5,3,6,2,7,4]=>[7,3,5,2,6,1,4]=>000000
[3,7,5,4,2,6,1]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>000000
[3,7,5,4,6,1,2]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>000000
[3,7,5,4,6,2,1]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>000000
[3,7,5,6,1,2,4]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>000000
[3,7,5,6,1,4,2]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>000000
[3,7,5,6,2,1,4]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>000000
[3,7,5,6,2,4,1]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>000000
[3,7,5,6,4,1,2]=>[1,3,5,4,6,2,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>000000
[3,7,5,6,4,2,1]=>[1,3,5,4,6,2,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>000000
[3,7,6,1,2,4,5]=>[1,3,6,4,2,7,5]=>[1,4,3,6,7,2,5]=>[7,4,5,2,1,6,3]=>000000
[3,7,6,1,2,5,4]=>[1,3,6,5,2,7,4]=>[1,5,3,6,7,4,2]=>[7,3,5,2,1,4,6]=>000000
[3,7,6,1,4,2,5]=>[1,3,6,2,7,5,4]=>[1,6,3,5,7,2,4]=>[7,2,5,3,1,6,4]=>000000
[3,7,6,1,4,5,2]=>[1,3,6,5,4,2,7]=>[1,4,3,5,6,2,7]=>[7,4,5,3,2,6,1]=>000000
[3,7,6,1,5,2,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[7,2,5,1,4,6,3]=>000000
[3,7,6,1,5,4,2]=>[1,3,6,4,2,7,5]=>[1,4,3,6,7,2,5]=>[7,4,5,2,1,6,3]=>000000
[3,7,6,2,1,4,5]=>[1,3,6,4,2,7,5]=>[1,4,3,6,7,2,5]=>[7,4,5,2,1,6,3]=>000000
[3,7,6,2,1,5,4]=>[1,3,6,5,2,7,4]=>[1,5,3,6,7,4,2]=>[7,3,5,2,1,4,6]=>000000
[3,7,6,2,4,1,5]=>[1,3,6,2,7,5,4]=>[1,6,3,5,7,2,4]=>[7,2,5,3,1,6,4]=>000000
[3,7,6,2,4,5,1]=>[1,3,6,5,4,2,7]=>[1,4,3,5,6,2,7]=>[7,4,5,3,2,6,1]=>000000
[3,7,6,2,5,1,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[7,2,5,1,4,6,3]=>000000
[3,7,6,2,5,4,1]=>[1,3,6,4,2,7,5]=>[1,4,3,6,7,2,5]=>[7,4,5,2,1,6,3]=>000000
[3,7,6,4,1,2,5]=>[1,3,6,2,7,5,4]=>[1,6,3,5,7,2,4]=>[7,2,5,3,1,6,4]=>000000
[3,7,6,4,1,5,2]=>[1,3,6,5,2,7,4]=>[1,5,3,6,7,4,2]=>[7,3,5,2,1,4,6]=>000000
[3,7,6,4,2,1,5]=>[1,3,6,2,7,5,4]=>[1,6,3,5,7,2,4]=>[7,2,5,3,1,6,4]=>000000
[3,7,6,4,2,5,1]=>[1,3,6,5,2,7,4]=>[1,5,3,6,7,4,2]=>[7,3,5,2,1,4,6]=>000000
[3,7,6,4,5,1,2]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[7,2,5,1,4,6,3]=>000000
[3,7,6,4,5,2,1]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[7,2,5,1,4,6,3]=>000000
[3,7,6,5,1,2,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[7,2,5,1,4,6,3]=>000000
[3,7,6,5,1,4,2]=>[1,3,6,4,5,2,7]=>[1,5,3,6,4,2,7]=>[7,3,5,2,4,6,1]=>000000
[3,7,6,5,2,1,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[7,2,5,1,4,6,3]=>000000
[3,7,6,5,2,4,1]=>[1,3,6,4,5,2,7]=>[1,5,3,6,4,2,7]=>[7,3,5,2,4,6,1]=>000000
[3,7,6,5,4,1,2]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[7,2,5,1,4,6,3]=>000000
[3,7,6,5,4,2,1]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[7,2,5,1,4,6,3]=>000000
[4,1,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>000000
[4,1,2,3,5,7,6]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>000000
[4,1,2,3,6,5,7]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>000000
[4,1,2,3,6,7,5]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>000000
[4,1,2,3,7,5,6]=>[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]=>[7,5,4,6,3,1,2]=>000000
[4,1,2,3,7,6,5]=>[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]=>[7,5,4,6,3,1,2]=>000000
[4,1,2,5,3,6,7]=>[1,4,5,3,2,6,7]=>[1,3,5,4,2,6,7]=>[7,5,3,4,6,2,1]=>000000
[4,1,2,5,3,7,6]=>[1,4,5,3,2,6,7]=>[1,3,5,4,2,6,7]=>[7,5,3,4,6,2,1]=>000000
[4,1,2,5,6,3,7]=>[1,4,5,6,3,2,7]=>[1,3,6,4,5,2,7]=>[7,5,2,4,3,6,1]=>000000
[4,1,2,5,6,7,3]=>[1,4,5,6,7,3,2]=>[1,3,7,4,5,6,2]=>[7,5,1,4,3,2,6]=>000000
[4,1,2,5,7,3,6]=>[1,4,5,7,6,3,2]=>[1,3,6,4,5,7,2]=>[7,5,2,4,3,1,6]=>000000
[4,1,2,5,7,6,3]=>[1,4,5,7,3,2,6]=>[1,3,7,4,5,2,6]=>[7,5,1,4,3,6,2]=>000000
[4,1,2,6,3,5,7]=>[1,4,6,5,3,2,7]=>[1,3,5,4,6,2,7]=>[7,5,3,4,2,6,1]=>000000
[4,1,2,6,3,7,5]=>[1,4,6,7,5,3,2]=>[1,3,5,4,7,6,2]=>[7,5,3,4,1,2,6]=>000000
[4,1,2,6,5,3,7]=>[1,4,6,3,2,5,7]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>000000
[4,1,2,6,5,7,3]=>[1,4,6,7,3,2,5]=>[1,3,7,4,2,6,5]=>[7,5,1,4,6,2,3]=>000000
[4,1,2,6,7,3,5]=>[1,4,6,3,2,5,7]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>000000
[4,1,2,6,7,5,3]=>[1,4,6,5,7,3,2]=>[1,3,7,4,6,5,2]=>[7,5,1,4,2,3,6]=>000000
[4,1,2,7,3,5,6]=>[1,4,7,6,5,3,2]=>[1,3,5,4,6,7,2]=>[7,5,3,4,2,1,6]=>000000
[4,1,2,7,3,6,5]=>[1,4,7,5,3,2,6]=>[1,3,5,4,7,2,6]=>[7,5,3,4,1,6,2]=>000000
[4,1,2,7,5,3,6]=>[1,4,7,6,3,2,5]=>[1,3,6,4,2,7,5]=>[7,5,2,4,6,1,3]=>000000
[4,1,2,7,5,6,3]=>[1,4,7,3,2,5,6]=>[1,3,7,4,2,5,6]=>[7,5,1,4,6,3,2]=>000000
[4,1,2,7,6,3,5]=>[1,4,7,5,6,3,2]=>[1,3,6,4,7,5,2]=>[7,5,2,4,1,3,6]=>000000
[4,1,2,7,6,5,3]=>[1,4,7,3,2,5,6]=>[1,3,7,4,2,5,6]=>[7,5,1,4,6,3,2]=>000000
[4,1,3,2,5,6,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,1,3,2,5,7,6]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,1,3,2,6,5,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,1,3,2,6,7,5]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,1,3,2,7,5,6]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>000000
[4,1,3,2,7,6,5]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>000000
[4,1,3,5,2,6,7]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>000000
[4,1,3,5,2,7,6]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>000000
[4,1,3,5,6,2,7]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[7,2,6,4,3,5,1]=>000000
[4,1,3,5,6,7,2]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>[7,1,6,4,3,2,5]=>000000
[4,1,3,5,7,2,6]=>[1,4,5,7,6,2,3]=>[1,6,2,4,5,7,3]=>[7,2,6,4,3,1,5]=>000000
[4,1,3,5,7,6,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[7,1,6,4,3,5,2]=>000000
[4,1,3,6,2,5,7]=>[1,4,6,5,2,3,7]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>000000
[4,1,3,6,2,7,5]=>[1,4,6,7,5,2,3]=>[1,5,2,4,7,6,3]=>[7,3,6,4,1,2,5]=>000000
[4,1,3,6,5,2,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>000000
[4,1,3,6,5,7,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>000000
[4,1,3,6,7,2,5]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>000000
[4,1,3,6,7,5,2]=>[1,4,6,5,7,2,3]=>[1,7,2,4,6,5,3]=>[7,1,6,4,2,3,5]=>000000
[4,1,3,7,2,5,6]=>[1,4,7,6,5,2,3]=>[1,5,2,4,6,7,3]=>[7,3,6,4,2,1,5]=>000000
[4,1,3,7,2,6,5]=>[1,4,7,5,2,3,6]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>000000
[4,1,3,7,5,2,6]=>[1,4,7,6,2,3,5]=>[1,6,2,4,3,7,5]=>[7,2,6,4,5,1,3]=>000000
[4,1,3,7,5,6,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>000000
[4,1,3,7,6,2,5]=>[1,4,7,5,6,2,3]=>[1,6,2,4,7,5,3]=>[7,2,6,4,1,3,5]=>000000
[4,1,3,7,6,5,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>000000
[4,1,5,2,3,6,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,1,5,2,3,7,6]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,1,5,2,6,3,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,1,5,2,6,7,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,1,5,2,7,3,6]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>000000
[4,1,5,2,7,6,3]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>000000
[4,1,5,3,2,6,7]=>[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>000000
[4,1,5,3,2,7,6]=>[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>000000
[4,1,5,3,6,2,7]=>[1,4,3,5,6,2,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>000000
[4,1,5,3,6,7,2]=>[1,4,3,5,6,7,2]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>000000
[4,1,5,3,7,2,6]=>[1,4,3,5,7,6,2]=>[1,6,4,3,5,7,2]=>[7,2,4,5,3,1,6]=>000000
[4,1,5,3,7,6,2]=>[1,4,3,5,7,2,6]=>[1,7,4,3,5,2,6]=>[7,1,4,5,3,6,2]=>000000
[4,1,5,6,2,3,7]=>[1,4,6,3,5,2,7]=>[1,5,6,4,3,2,7]=>[7,3,2,4,5,6,1]=>000000
[4,1,5,6,2,7,3]=>[1,4,6,7,3,5,2]=>[1,5,7,4,3,6,2]=>[7,3,1,4,5,2,6]=>000000
[4,1,5,6,3,2,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>000000
[4,1,5,6,3,7,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>000000
[4,1,5,6,7,2,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>000000
[4,1,5,6,7,3,2]=>[1,4,6,3,5,7,2]=>[1,7,6,4,3,5,2]=>[7,1,2,4,5,3,6]=>000000
[4,1,5,7,2,3,6]=>[1,4,7,6,3,5,2]=>[1,5,6,4,3,7,2]=>[7,3,2,4,5,1,6]=>000000
[4,1,5,7,2,6,3]=>[1,4,7,3,5,2,6]=>[1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>000000
[4,1,5,7,3,2,6]=>[1,4,7,6,2,3,5]=>[1,6,2,4,3,7,5]=>[7,2,6,4,5,1,3]=>000000
[4,1,5,7,3,6,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>000000
[4,1,5,7,6,2,3]=>[1,4,7,3,5,6,2]=>[1,6,7,4,3,5,2]=>[7,2,1,4,5,3,6]=>000000
[4,1,5,7,6,3,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>000000
[4,1,6,2,3,5,7]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>000000
[4,1,6,2,3,7,5]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>000000
[4,1,6,2,5,3,7]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>000000
[4,1,6,2,5,7,3]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>000000
[4,1,6,2,7,3,5]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>000000
[4,1,6,2,7,5,3]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>000000
[4,1,6,3,2,5,7]=>[1,4,3,6,5,2,7]=>[1,5,4,3,6,2,7]=>[7,3,4,5,2,6,1]=>000000
[4,1,6,3,2,7,5]=>[1,4,3,6,7,5,2]=>[1,5,4,3,7,6,2]=>[7,3,4,5,1,2,6]=>000000
[4,1,6,3,5,2,7]=>[1,4,3,6,2,5,7]=>[1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>000000
[4,1,6,3,5,7,2]=>[1,4,3,6,7,2,5]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>000000
[4,1,6,3,7,2,5]=>[1,4,3,6,2,5,7]=>[1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>000000
[4,1,6,3,7,5,2]=>[1,4,3,6,5,7,2]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>000000
[4,1,6,5,2,3,7]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>000000
[4,1,6,5,2,7,3]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>000000
[4,1,6,5,3,2,7]=>[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>000000
[4,1,6,5,3,7,2]=>[1,4,5,3,6,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>000000
[4,1,6,5,7,2,3]=>[1,4,5,7,3,6,2]=>[1,6,7,4,5,3,2]=>[7,2,1,4,3,5,6]=>000000
[4,1,6,5,7,3,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[7,1,6,4,3,5,2]=>000000
[4,1,6,7,2,3,5]=>[1,4,7,5,2,3,6]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>000000
[4,1,6,7,2,5,3]=>[1,4,7,3,6,5,2]=>[1,5,6,4,7,2,3]=>[7,3,2,4,1,6,5]=>000000
[4,1,6,7,3,2,5]=>[1,4,7,5,3,6,2]=>[1,6,5,4,7,3,2]=>[7,2,3,4,1,5,6]=>000000
[4,1,6,7,3,5,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>000000
[4,1,6,7,5,2,3]=>[1,4,7,3,6,2,5]=>[1,6,7,4,2,3,5]=>[7,2,1,4,6,5,3]=>000000
[4,1,6,7,5,3,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>000000
[4,1,7,2,3,5,6]=>[1,4,2,3,7,6,5]=>[1,4,2,3,6,7,5]=>[7,4,6,5,2,1,3]=>000000
[4,1,7,2,3,6,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>000000
[4,1,7,2,5,3,6]=>[1,4,2,3,7,6,5]=>[1,4,2,3,6,7,5]=>[7,4,6,5,2,1,3]=>000000
[4,1,7,2,5,6,3]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>000000
[4,1,7,2,6,3,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>000000
[4,1,7,2,6,5,3]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>000000
[4,1,7,3,2,5,6]=>[1,4,3,7,6,5,2]=>[1,5,4,3,6,7,2]=>[7,3,4,5,2,1,6]=>000000
[4,1,7,3,2,6,5]=>[1,4,3,7,5,2,6]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>000000
[4,1,7,3,5,2,6]=>[1,4,3,7,6,2,5]=>[1,6,4,3,2,7,5]=>[7,2,4,5,6,1,3]=>000000
[4,1,7,3,5,6,2]=>[1,4,3,7,2,5,6]=>[1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>000000
[4,1,7,3,6,2,5]=>[1,4,3,7,5,6,2]=>[1,6,4,3,7,5,2]=>[7,2,4,5,1,3,6]=>000000
[4,1,7,3,6,5,2]=>[1,4,3,7,2,5,6]=>[1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>000000
[4,1,7,5,2,3,6]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>000000
[4,1,7,5,2,6,3]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>000000
[4,1,7,5,3,2,6]=>[1,4,5,3,7,6,2]=>[1,6,5,4,3,7,2]=>[7,2,3,4,5,1,6]=>000000
[4,1,7,5,3,6,2]=>[1,4,5,3,7,2,6]=>[1,7,5,4,3,2,6]=>[7,1,3,4,5,6,2]=>000000
[4,1,7,5,6,2,3]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[7,2,6,4,3,5,1]=>000000
[4,1,7,5,6,3,2]=>[1,4,5,6,3,7,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>000000
[4,1,7,6,2,3,5]=>[1,4,6,3,7,5,2]=>[1,5,7,4,6,2,3]=>[7,3,1,4,2,6,5]=>000000
[4,1,7,6,2,5,3]=>[1,4,6,5,2,3,7]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>000000
[4,1,7,6,3,2,5]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[7,2,6,4,1,5,3]=>000000
[4,1,7,6,3,5,2]=>[1,4,6,5,3,7,2]=>[1,7,5,4,6,3,2]=>[7,1,3,4,2,5,6]=>000000
[4,1,7,6,5,2,3]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[7,2,6,4,1,5,3]=>000000
[4,1,7,6,5,3,2]=>[1,4,6,3,7,2,5]=>[1,7,6,4,2,3,5]=>[7,1,2,4,6,5,3]=>000000
[4,2,1,3,5,6,7]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>000000
[4,2,1,3,5,7,6]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>000000
[4,2,1,3,6,5,7]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>000000
[4,2,1,3,6,7,5]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>000000
[4,2,1,3,7,5,6]=>[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]=>[7,5,4,6,3,1,2]=>000000
[4,2,1,3,7,6,5]=>[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]=>[7,5,4,6,3,1,2]=>000000
[4,2,1,5,3,6,7]=>[1,4,5,3,2,6,7]=>[1,3,5,4,2,6,7]=>[7,5,3,4,6,2,1]=>000000
[4,2,1,5,3,7,6]=>[1,4,5,3,2,6,7]=>[1,3,5,4,2,6,7]=>[7,5,3,4,6,2,1]=>000000
[4,2,1,5,6,3,7]=>[1,4,5,6,3,2,7]=>[1,3,6,4,5,2,7]=>[7,5,2,4,3,6,1]=>000000
[4,2,1,5,6,7,3]=>[1,4,5,6,7,3,2]=>[1,3,7,4,5,6,2]=>[7,5,1,4,3,2,6]=>000000
[4,2,1,5,7,3,6]=>[1,4,5,7,6,3,2]=>[1,3,6,4,5,7,2]=>[7,5,2,4,3,1,6]=>000000
[4,2,1,5,7,6,3]=>[1,4,5,7,3,2,6]=>[1,3,7,4,5,2,6]=>[7,5,1,4,3,6,2]=>000000
[4,2,1,6,3,5,7]=>[1,4,6,5,3,2,7]=>[1,3,5,4,6,2,7]=>[7,5,3,4,2,6,1]=>000000
[4,2,1,6,3,7,5]=>[1,4,6,7,5,3,2]=>[1,3,5,4,7,6,2]=>[7,5,3,4,1,2,6]=>000000
[4,2,1,6,5,3,7]=>[1,4,6,3,2,5,7]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>000000
[4,2,1,6,5,7,3]=>[1,4,6,7,3,2,5]=>[1,3,7,4,2,6,5]=>[7,5,1,4,6,2,3]=>000000
[4,2,1,6,7,3,5]=>[1,4,6,3,2,5,7]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>000000
[4,2,1,6,7,5,3]=>[1,4,6,5,7,3,2]=>[1,3,7,4,6,5,2]=>[7,5,1,4,2,3,6]=>000000
[4,2,1,7,3,5,6]=>[1,4,7,6,5,3,2]=>[1,3,5,4,6,7,2]=>[7,5,3,4,2,1,6]=>000000
[4,2,1,7,3,6,5]=>[1,4,7,5,3,2,6]=>[1,3,5,4,7,2,6]=>[7,5,3,4,1,6,2]=>000000
[4,2,1,7,5,3,6]=>[1,4,7,6,3,2,5]=>[1,3,6,4,2,7,5]=>[7,5,2,4,6,1,3]=>000000
[4,2,1,7,5,6,3]=>[1,4,7,3,2,5,6]=>[1,3,7,4,2,5,6]=>[7,5,1,4,6,3,2]=>000000
[4,2,1,7,6,3,5]=>[1,4,7,5,6,3,2]=>[1,3,6,4,7,5,2]=>[7,5,2,4,1,3,6]=>000000
[4,2,1,7,6,5,3]=>[1,4,7,3,2,5,6]=>[1,3,7,4,2,5,6]=>[7,5,1,4,6,3,2]=>000000
[4,2,3,1,5,6,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,2,3,1,5,7,6]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,2,3,1,6,5,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,2,3,1,6,7,5]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,2,3,1,7,5,6]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>000000
[4,2,3,1,7,6,5]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>000000
[4,2,3,5,1,6,7]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>000000
[4,2,3,5,1,7,6]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>000000
[4,2,3,5,6,1,7]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[7,2,6,4,3,5,1]=>000000
[4,2,3,5,6,7,1]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>[7,1,6,4,3,2,5]=>000000
[4,2,3,5,7,1,6]=>[1,4,5,7,6,2,3]=>[1,6,2,4,5,7,3]=>[7,2,6,4,3,1,5]=>000000
[4,2,3,5,7,6,1]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[7,1,6,4,3,5,2]=>000000
[4,2,3,6,1,5,7]=>[1,4,6,5,2,3,7]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>000000
[4,2,3,6,1,7,5]=>[1,4,6,7,5,2,3]=>[1,5,2,4,7,6,3]=>[7,3,6,4,1,2,5]=>000000
[4,2,3,6,5,1,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>000000
[4,2,3,6,5,7,1]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>000000
[4,2,3,6,7,1,5]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>000000
[4,2,3,6,7,5,1]=>[1,4,6,5,7,2,3]=>[1,7,2,4,6,5,3]=>[7,1,6,4,2,3,5]=>000000
[4,2,3,7,1,5,6]=>[1,4,7,6,5,2,3]=>[1,5,2,4,6,7,3]=>[7,3,6,4,2,1,5]=>000000
[4,2,3,7,1,6,5]=>[1,4,7,5,2,3,6]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>000000
[4,2,3,7,5,1,6]=>[1,4,7,6,2,3,5]=>[1,6,2,4,3,7,5]=>[7,2,6,4,5,1,3]=>000000
[4,2,3,7,5,6,1]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>000000
[4,2,3,7,6,1,5]=>[1,4,7,5,6,2,3]=>[1,6,2,4,7,5,3]=>[7,2,6,4,1,3,5]=>000000
[4,2,3,7,6,5,1]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>000000
[4,2,5,1,3,6,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,2,5,1,3,7,6]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,2,5,1,6,3,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,2,5,1,6,7,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,2,5,1,7,3,6]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>000000
[4,2,5,1,7,6,3]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>000000
[4,2,5,3,1,6,7]=>[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>000000
[4,2,5,3,1,7,6]=>[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>000000
[4,2,5,3,6,1,7]=>[1,4,3,5,6,2,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>000000
[4,2,5,3,6,7,1]=>[1,4,3,5,6,7,2]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>000000
[4,2,5,3,7,1,6]=>[1,4,3,5,7,6,2]=>[1,6,4,3,5,7,2]=>[7,2,4,5,3,1,6]=>000000
[4,2,5,3,7,6,1]=>[1,4,3,5,7,2,6]=>[1,7,4,3,5,2,6]=>[7,1,4,5,3,6,2]=>000000
[4,2,5,6,1,3,7]=>[1,4,6,3,5,2,7]=>[1,5,6,4,3,2,7]=>[7,3,2,4,5,6,1]=>000000
[4,2,5,6,1,7,3]=>[1,4,6,7,3,5,2]=>[1,5,7,4,3,6,2]=>[7,3,1,4,5,2,6]=>000000
[4,2,5,6,3,1,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>000000
[4,2,5,6,3,7,1]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>000000
[4,2,5,6,7,1,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>000000
[4,2,5,6,7,3,1]=>[1,4,6,3,5,7,2]=>[1,7,6,4,3,5,2]=>[7,1,2,4,5,3,6]=>000000
[4,2,5,7,1,3,6]=>[1,4,7,6,3,5,2]=>[1,5,6,4,3,7,2]=>[7,3,2,4,5,1,6]=>000000
[4,2,5,7,1,6,3]=>[1,4,7,3,5,2,6]=>[1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>000000
[4,2,5,7,3,1,6]=>[1,4,7,6,2,3,5]=>[1,6,2,4,3,7,5]=>[7,2,6,4,5,1,3]=>000000
[4,2,5,7,3,6,1]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>000000
[4,2,5,7,6,1,3]=>[1,4,7,3,5,6,2]=>[1,6,7,4,3,5,2]=>[7,2,1,4,5,3,6]=>000000
[4,2,5,7,6,3,1]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>000000
[4,2,6,1,3,5,7]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>000000
[4,2,6,1,3,7,5]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>000000
[4,2,6,1,5,3,7]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>000000
[4,2,6,1,5,7,3]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>000000
[4,2,6,1,7,3,5]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>000000
[4,2,6,1,7,5,3]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>000000
[4,2,6,3,1,5,7]=>[1,4,3,6,5,2,7]=>[1,5,4,3,6,2,7]=>[7,3,4,5,2,6,1]=>000000
[4,2,6,3,1,7,5]=>[1,4,3,6,7,5,2]=>[1,5,4,3,7,6,2]=>[7,3,4,5,1,2,6]=>000000
[4,2,6,3,5,1,7]=>[1,4,3,6,2,5,7]=>[1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>000000
[4,2,6,3,5,7,1]=>[1,4,3,6,7,2,5]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>000000
[4,2,6,3,7,1,5]=>[1,4,3,6,2,5,7]=>[1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>000000
[4,2,6,3,7,5,1]=>[1,4,3,6,5,7,2]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>000000
[4,2,6,5,1,3,7]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>000000
[4,2,6,5,1,7,3]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>000000
[4,2,6,5,3,1,7]=>[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>000000
[4,2,6,5,3,7,1]=>[1,4,5,3,6,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>000000
[4,2,6,5,7,1,3]=>[1,4,5,7,3,6,2]=>[1,6,7,4,5,3,2]=>[7,2,1,4,3,5,6]=>000000
[4,2,6,5,7,3,1]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[7,1,6,4,3,5,2]=>000000
[4,2,6,7,1,3,5]=>[1,4,7,5,2,3,6]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>000000
[4,2,6,7,1,5,3]=>[1,4,7,3,6,5,2]=>[1,5,6,4,7,2,3]=>[7,3,2,4,1,6,5]=>000000
[4,2,6,7,3,1,5]=>[1,4,7,5,3,6,2]=>[1,6,5,4,7,3,2]=>[7,2,3,4,1,5,6]=>000000
[4,2,6,7,3,5,1]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>000000
[4,2,6,7,5,1,3]=>[1,4,7,3,6,2,5]=>[1,6,7,4,2,3,5]=>[7,2,1,4,6,5,3]=>000000
[4,2,6,7,5,3,1]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>000000
[4,2,7,1,3,5,6]=>[1,4,2,3,7,6,5]=>[1,4,2,3,6,7,5]=>[7,4,6,5,2,1,3]=>000000
[4,2,7,1,3,6,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>000000
[4,2,7,1,5,3,6]=>[1,4,2,3,7,6,5]=>[1,4,2,3,6,7,5]=>[7,4,6,5,2,1,3]=>000000
[4,2,7,1,5,6,3]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>000000
[4,2,7,1,6,3,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>000000
[4,2,7,1,6,5,3]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>000000
[4,2,7,3,1,5,6]=>[1,4,3,7,6,5,2]=>[1,5,4,3,6,7,2]=>[7,3,4,5,2,1,6]=>000000
[4,2,7,3,1,6,5]=>[1,4,3,7,5,2,6]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>000000
[4,2,7,3,5,1,6]=>[1,4,3,7,6,2,5]=>[1,6,4,3,2,7,5]=>[7,2,4,5,6,1,3]=>000000
[4,2,7,3,5,6,1]=>[1,4,3,7,2,5,6]=>[1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>000000
[4,2,7,3,6,1,5]=>[1,4,3,7,5,6,2]=>[1,6,4,3,7,5,2]=>[7,2,4,5,1,3,6]=>000000
[4,2,7,3,6,5,1]=>[1,4,3,7,2,5,6]=>[1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>000000
[4,2,7,5,1,3,6]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>000000
[4,2,7,5,1,6,3]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>000000
[4,2,7,5,3,1,6]=>[1,4,5,3,7,6,2]=>[1,6,5,4,3,7,2]=>[7,2,3,4,5,1,6]=>000000
[4,2,7,5,3,6,1]=>[1,4,5,3,7,2,6]=>[1,7,5,4,3,2,6]=>[7,1,3,4,5,6,2]=>000000
[4,2,7,5,6,1,3]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[7,2,6,4,3,5,1]=>000000
[4,2,7,5,6,3,1]=>[1,4,5,6,3,7,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>000000
[4,2,7,6,1,3,5]=>[1,4,6,3,7,5,2]=>[1,5,7,4,6,2,3]=>[7,3,1,4,2,6,5]=>000000
[4,2,7,6,1,5,3]=>[1,4,6,5,2,3,7]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>000000
[4,2,7,6,3,1,5]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[7,2,6,4,1,5,3]=>000000
[4,2,7,6,3,5,1]=>[1,4,6,5,3,7,2]=>[1,7,5,4,6,3,2]=>[7,1,3,4,2,5,6]=>000000
[4,2,7,6,5,1,3]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[7,2,6,4,1,5,3]=>000000
[4,2,7,6,5,3,1]=>[1,4,6,3,7,2,5]=>[1,7,6,4,2,3,5]=>[7,1,2,4,6,5,3]=>000000
[4,3,1,2,5,6,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,3,1,2,5,7,6]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,3,1,2,6,5,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,3,1,2,6,7,5]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,3,1,2,7,5,6]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>000000
[4,3,1,2,7,6,5]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>000000
[4,3,1,5,2,6,7]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>000000
[4,3,1,5,2,7,6]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>000000
[4,3,1,5,6,2,7]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[7,2,6,4,3,5,1]=>000000
[4,3,1,5,6,7,2]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>[7,1,6,4,3,2,5]=>000000
[4,3,1,5,7,2,6]=>[1,4,5,7,6,2,3]=>[1,6,2,4,5,7,3]=>[7,2,6,4,3,1,5]=>000000
[4,3,1,5,7,6,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[7,1,6,4,3,5,2]=>000000
[4,3,1,6,2,5,7]=>[1,4,6,5,2,3,7]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>000000
[4,3,1,6,2,7,5]=>[1,4,6,7,5,2,3]=>[1,5,2,4,7,6,3]=>[7,3,6,4,1,2,5]=>000000
[4,3,1,6,5,2,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>000000
[4,3,1,6,5,7,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>000000
[4,3,1,6,7,2,5]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>000000
[4,3,1,6,7,5,2]=>[1,4,6,5,7,2,3]=>[1,7,2,4,6,5,3]=>[7,1,6,4,2,3,5]=>000000
[4,3,1,7,2,5,6]=>[1,4,7,6,5,2,3]=>[1,5,2,4,6,7,3]=>[7,3,6,4,2,1,5]=>000000
[4,3,1,7,2,6,5]=>[1,4,7,5,2,3,6]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>000000
[4,3,1,7,5,2,6]=>[1,4,7,6,2,3,5]=>[1,6,2,4,3,7,5]=>[7,2,6,4,5,1,3]=>000000
[4,3,1,7,5,6,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>000000
[4,3,1,7,6,2,5]=>[1,4,7,5,6,2,3]=>[1,6,2,4,7,5,3]=>[7,2,6,4,1,3,5]=>000000
[4,3,1,7,6,5,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>000000
[4,3,2,1,5,6,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,3,2,1,5,7,6]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,3,2,1,6,5,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,3,2,1,6,7,5]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,3,2,1,7,5,6]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>000000
[4,3,2,1,7,6,5]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>000000
[4,3,2,5,1,6,7]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>000000
[4,3,2,5,1,7,6]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>000000
[4,3,2,5,6,1,7]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[7,2,6,4,3,5,1]=>000000
[4,3,2,5,6,7,1]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>[7,1,6,4,3,2,5]=>000000
[4,3,2,5,7,1,6]=>[1,4,5,7,6,2,3]=>[1,6,2,4,5,7,3]=>[7,2,6,4,3,1,5]=>000000
[4,3,2,5,7,6,1]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[7,1,6,4,3,5,2]=>000000
[4,3,2,6,1,5,7]=>[1,4,6,5,2,3,7]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>000000
[4,3,2,6,1,7,5]=>[1,4,6,7,5,2,3]=>[1,5,2,4,7,6,3]=>[7,3,6,4,1,2,5]=>000000
[4,3,2,6,5,1,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>000000
[4,3,2,6,5,7,1]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>000000
[4,3,2,6,7,1,5]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>000000
[4,3,2,6,7,5,1]=>[1,4,6,5,7,2,3]=>[1,7,2,4,6,5,3]=>[7,1,6,4,2,3,5]=>000000
[4,3,2,7,1,5,6]=>[1,4,7,6,5,2,3]=>[1,5,2,4,6,7,3]=>[7,3,6,4,2,1,5]=>000000
[4,3,2,7,1,6,5]=>[1,4,7,5,2,3,6]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>000000
[4,3,2,7,5,1,6]=>[1,4,7,6,2,3,5]=>[1,6,2,4,3,7,5]=>[7,2,6,4,5,1,3]=>000000
[4,3,2,7,5,6,1]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>000000
[4,3,2,7,6,1,5]=>[1,4,7,5,6,2,3]=>[1,6,2,4,7,5,3]=>[7,2,6,4,1,3,5]=>000000
[4,3,2,7,6,5,1]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>000000
[4,3,5,1,2,6,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,3,5,1,2,7,6]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,3,5,1,6,2,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,3,5,1,6,7,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,3,5,1,7,2,6]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>000000
[4,3,5,1,7,6,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>000000
[4,3,5,2,1,6,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,3,5,2,1,7,6]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,3,5,2,6,1,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,3,5,2,6,7,1]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>000000
[4,3,5,2,7,1,6]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>000000
[4,3,5,2,7,6,1]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>000000
[4,3,5,6,1,2,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>000000
[4,3,5,6,1,7,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>000000
[4,3,5,6,2,1,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>000000
[4,3,5,6,2,7,1]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>000000
[4,3,5,6,7,1,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>000000
[4,3,5,6,7,2,1]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>000000
[4,3,5,7,1,2,6]=>[1,4,7,6,2,3,5]=>[1,6,2,4,3,7,5]=>[7,2,6,4,5,1,3]=>000000
[4,3,5,7,1,6,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>000000
[4,3,5,7,2,1,6]=>[1,4,7,6,2,3,5]=>[1,6,2,4,3,7,5]=>[7,2,6,4,5,1,3]=>000000
[4,3,5,7,2,6,1]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>000000
[4,3,5,7,6,1,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>000000
[4,3,5,7,6,2,1]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>000000
[4,3,6,1,2,5,7]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>000000
[4,3,6,1,2,7,5]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>000000
[4,3,6,1,5,2,7]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>000000
[4,3,6,1,5,7,2]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>000000
[4,3,6,1,7,2,5]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>000000
[4,3,6,1,7,5,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>000000
[4,3,6,2,1,5,7]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>000000
[4,3,6,2,1,7,5]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>000000
[4,3,6,2,5,1,7]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>000000
[4,3,6,2,5,7,1]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>000000
[4,3,6,2,7,1,5]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>000000
[4,3,6,2,7,5,1]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>000000
[4,3,6,5,1,2,7]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>000000
[4,3,6,5,1,7,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>000000
[4,3,6,5,2,1,7]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>000000
[4,3,6,5,2,7,1]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>000000
[4,3,6,5,7,1,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[7,1,6,4,3,5,2]=>000000
[4,3,6,5,7,2,1]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[7,1,6,4,3,5,2]=>000000
[4,3,6,7,1,2,5]=>[1,4,7,5,2,3,6]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>000000
[4,3,6,7,1,5,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>000000
[4,3,6,7,2,1,5]=>[1,4,7,5,2,3,6]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>000000
[4,3,6,7,2,5,1]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>000000
[4,3,6,7,5,1,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>000000
[4,3,6,7,5,2,1]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>000000
[4,3,7,1,2,5,6]=>[1,4,2,3,7,6,5]=>[1,4,2,3,6,7,5]=>[7,4,6,5,2,1,3]=>000000
[4,3,7,1,2,6,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>000000
[4,3,7,1,5,2,6]=>[1,4,2,3,7,6,5]=>[1,4,2,3,6,7,5]=>[7,4,6,5,2,1,3]=>000000
[4,3,7,1,5,6,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>000000
[4,3,7,1,6,2,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>000000
[4,3,7,1,6,5,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>000000
[4,3,7,2,1,5,6]=>[1,4,2,3,7,6,5]=>[1,4,2,3,6,7,5]=>[7,4,6,5,2,1,3]=>000000
[4,3,7,2,1,6,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>000000
[4,3,7,2,5,1,6]=>[1,4,2,3,7,6,5]=>[1,4,2,3,6,7,5]=>[7,4,6,5,2,1,3]=>000000
[4,3,7,2,5,6,1]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>000000
[4,3,7,2,6,1,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>000000
[4,3,7,2,6,5,1]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>000000
[4,3,7,5,1,2,6]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>000000
[4,3,7,5,1,6,2]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>000000
[4,3,7,5,2,1,6]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>000000
[4,3,7,5,2,6,1]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>000000
[4,3,7,5,6,1,2]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[7,2,6,4,3,5,1]=>000000
[4,3,7,5,6,2,1]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[7,2,6,4,3,5,1]=>000000
[4,3,7,6,1,2,5]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[7,2,6,4,1,5,3]=>000000
[4,3,7,6,1,5,2]=>[1,4,6,5,2,3,7]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>000000
[4,3,7,6,2,1,5]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[7,2,6,4,1,5,3]=>000000
[4,3,7,6,2,5,1]=>[1,4,6,5,2,3,7]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>000000
[4,3,7,6,5,1,2]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[7,2,6,4,1,5,3]=>000000
[4,3,7,6,5,2,1]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[7,2,6,4,1,5,3]=>000000
[4,5,1,2,3,6,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>000000
[4,5,1,2,3,7,6]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>000000
[4,5,1,2,6,3,7]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>000000
[4,5,1,2,6,7,3]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>000000
[4,5,1,2,7,3,6]=>[1,4,2,5,7,6,3]=>[1,4,6,2,5,7,3]=>[7,4,2,6,3,1,5]=>000000
[4,5,1,2,7,6,3]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[7,4,1,6,3,5,2]=>000000
[4,5,1,3,2,6,7]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>000000
[4,5,1,3,2,7,6]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>000000
[4,5,1,3,6,2,7]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>000000
[4,5,1,3,6,7,2]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>000000
[4,5,1,3,7,2,6]=>[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]=>[7,5,4,6,3,1,2]=>000000
[4,5,1,3,7,6,2]=>[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]=>[7,5,4,6,3,1,2]=>000000
[4,5,1,6,2,3,7]=>[1,4,6,3,2,5,7]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>000000
[4,5,1,6,2,7,3]=>[1,4,6,7,3,2,5]=>[1,3,7,4,2,6,5]=>[7,5,1,4,6,2,3]=>000000
[4,5,1,6,3,2,7]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[7,2,3,4,6,5,1]=>000000
[4,5,1,6,3,7,2]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>[7,1,3,4,6,2,5]=>000000
[4,5,1,6,7,2,3]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>[7,2,1,4,6,3,5]=>000000
[4,5,1,6,7,3,2]=>[1,4,6,3,2,5,7]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>000000
[4,5,1,7,2,3,6]=>[1,4,7,6,3,2,5]=>[1,3,6,4,2,7,5]=>[7,5,2,4,6,1,3]=>000000
[4,5,1,7,2,6,3]=>[1,4,7,3,2,5,6]=>[1,3,7,4,2,5,6]=>[7,5,1,4,6,3,2]=>000000
[4,5,1,7,3,2,6]=>[1,4,7,6,2,5,3]=>[1,6,5,4,2,7,3]=>[7,2,3,4,6,1,5]=>000000
[4,5,1,7,3,6,2]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[7,1,3,4,6,5,2]=>000000
[4,5,1,7,6,2,3]=>[1,4,7,3,2,5,6]=>[1,3,7,4,2,5,6]=>[7,5,1,4,6,3,2]=>000000
[4,5,1,7,6,3,2]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>[7,1,2,4,6,3,5]=>000000
[4,5,2,1,3,6,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>000000
[4,5,2,1,3,7,6]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>000000
[4,5,2,1,6,3,7]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>000000
[4,5,2,1,6,7,3]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>000000
[4,5,2,1,7,3,6]=>[1,4,2,5,7,6,3]=>[1,4,6,2,5,7,3]=>[7,4,2,6,3,1,5]=>000000
[4,5,2,1,7,6,3]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[7,4,1,6,3,5,2]=>000000
[4,5,2,3,1,6,7]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>000000
[4,5,2,3,1,7,6]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>000000
[4,5,2,3,6,1,7]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>000000
[4,5,2,3,6,7,1]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>000000
[4,5,2,3,7,1,6]=>[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]=>[7,5,4,6,3,1,2]=>000000
[4,5,2,3,7,6,1]=>[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]=>[7,5,4,6,3,1,2]=>000000
[4,5,2,6,1,3,7]=>[1,4,6,3,2,5,7]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>000000
[4,5,2,6,1,7,3]=>[1,4,6,7,3,2,5]=>[1,3,7,4,2,6,5]=>[7,5,1,4,6,2,3]=>000000
[4,5,2,6,3,1,7]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[7,2,3,4,6,5,1]=>000000
[4,5,2,6,3,7,1]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>[7,1,3,4,6,2,5]=>000000
[4,5,2,6,7,1,3]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>[7,2,1,4,6,3,5]=>000000
[4,5,2,6,7,3,1]=>[1,4,6,3,2,5,7]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>000000
[4,5,2,7,1,3,6]=>[1,4,7,6,3,2,5]=>[1,3,6,4,2,7,5]=>[7,5,2,4,6,1,3]=>000000
[4,5,2,7,1,6,3]=>[1,4,7,3,2,5,6]=>[1,3,7,4,2,5,6]=>[7,5,1,4,6,3,2]=>000000
[4,5,2,7,3,1,6]=>[1,4,7,6,2,5,3]=>[1,6,5,4,2,7,3]=>[7,2,3,4,6,1,5]=>000000
[4,5,2,7,3,6,1]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[7,1,3,4,6,5,2]=>000000
[4,5,2,7,6,1,3]=>[1,4,7,3,2,5,6]=>[1,3,7,4,2,5,6]=>[7,5,1,4,6,3,2]=>000000
[4,5,2,7,6,3,1]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>[7,1,2,4,6,3,5]=>000000
[4,5,3,1,2,6,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>000000
[4,5,3,1,2,7,6]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>000000
[4,5,3,1,6,2,7]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>000000
[4,5,3,1,6,7,2]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>000000
[4,5,3,1,7,2,6]=>[1,4,2,5,7,6,3]=>[1,4,6,2,5,7,3]=>[7,4,2,6,3,1,5]=>000000
[4,5,3,1,7,6,2]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[7,4,1,6,3,5,2]=>000000
[4,5,3,2,1,6,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>000000
[4,5,3,2,1,7,6]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>000000
[4,5,3,2,6,1,7]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>000000
[4,5,3,2,6,7,1]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>000000
[4,5,3,2,7,1,6]=>[1,4,2,5,7,6,3]=>[1,4,6,2,5,7,3]=>[7,4,2,6,3,1,5]=>000000
[4,5,3,2,7,6,1]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[7,4,1,6,3,5,2]=>000000
[4,5,3,6,1,2,7]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[7,2,3,4,6,5,1]=>000000
[4,5,3,6,1,7,2]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>[7,1,3,4,6,2,5]=>000000
[4,5,3,6,2,1,7]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[7,2,3,4,6,5,1]=>000000
[4,5,3,6,2,7,1]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>[7,1,3,4,6,2,5]=>000000
[4,5,3,6,7,1,2]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>[7,2,1,4,6,3,5]=>000000
[4,5,3,6,7,2,1]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>[7,2,1,4,6,3,5]=>000000
[4,5,3,7,1,2,6]=>[1,4,7,6,2,5,3]=>[1,6,5,4,2,7,3]=>[7,2,3,4,6,1,5]=>000000
[4,5,3,7,1,6,2]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[7,1,3,4,6,5,2]=>000000
[4,5,3,7,2,1,6]=>[1,4,7,6,2,5,3]=>[1,6,5,4,2,7,3]=>[7,2,3,4,6,1,5]=>000000
[4,5,3,7,2,6,1]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[7,1,3,4,6,5,2]=>000000
[4,5,3,7,6,1,2]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>[7,1,2,4,6,3,5]=>000000
[4,5,3,7,6,2,1]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>[7,1,2,4,6,3,5]=>000000
[4,5,6,1,2,3,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>000000
[4,5,6,1,2,7,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>000000
[4,5,6,1,3,2,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>000000
[4,5,6,1,3,7,2]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>000000
[4,5,6,1,7,2,3]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[7,4,1,6,3,5,2]=>000000
[4,5,6,1,7,3,2]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[7,4,1,6,3,5,2]=>000000
[4,5,6,2,1,3,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>000000
[4,5,6,2,1,7,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>000000
[4,5,6,2,3,1,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>000000
[4,5,6,2,3,7,1]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>000000
[4,5,6,2,7,1,3]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[7,4,1,6,3,5,2]=>000000
[4,5,6,2,7,3,1]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[7,4,1,6,3,5,2]=>000000
[4,5,6,3,1,2,7]=>[1,4,3,6,2,5,7]=>[1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>000000
[4,5,6,3,1,7,2]=>[1,4,3,6,7,2,5]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>000000
[4,5,6,3,2,1,7]=>[1,4,3,6,2,5,7]=>[1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>000000
[4,5,6,3,2,7,1]=>[1,4,3,6,7,2,5]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>000000
[4,5,6,3,7,1,2]=>[1,4,3,6,2,5,7]=>[1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>000000
[4,5,6,3,7,2,1]=>[1,4,3,6,2,5,7]=>[1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>000000
[4,5,6,7,1,2,3]=>[1,4,7,3,6,2,5]=>[1,6,7,4,2,3,5]=>[7,2,1,4,6,5,3]=>000000
[4,5,6,7,1,3,2]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[7,1,3,4,6,5,2]=>000000
[4,5,6,7,2,1,3]=>[1,4,7,3,6,2,5]=>[1,6,7,4,2,3,5]=>[7,2,1,4,6,5,3]=>000000
[4,5,6,7,2,3,1]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[7,1,3,4,6,5,2]=>000000
[4,5,6,7,3,1,2]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[7,1,3,4,6,5,2]=>000000
[4,5,6,7,3,2,1]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[7,1,3,4,6,5,2]=>000000
[4,5,7,1,2,3,6]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[7,4,3,6,5,1,2]=>000000
[4,5,7,1,2,6,3]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[7,4,3,6,5,1,2]=>000000
[4,5,7,1,3,2,6]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[7,4,3,6,5,1,2]=>000000
[4,5,7,1,3,6,2]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[7,4,3,6,5,1,2]=>000000
[4,5,7,1,6,2,3]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>000000
[4,5,7,1,6,3,2]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>000000
[4,5,7,2,1,3,6]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[7,4,3,6,5,1,2]=>000000
[4,5,7,2,1,6,3]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[7,4,3,6,5,1,2]=>000000
[4,5,7,2,3,1,6]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[7,4,3,6,5,1,2]=>000000
[4,5,7,2,3,6,1]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[7,4,3,6,5,1,2]=>000000
[4,5,7,2,6,1,3]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>000000
[4,5,7,2,6,3,1]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>000000
[4,5,7,3,1,2,6]=>[1,4,3,7,6,2,5]=>[1,6,4,3,2,7,5]=>[7,2,4,5,6,1,3]=>000000
[4,5,7,3,1,6,2]=>[1,4,3,7,2,5,6]=>[1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>000000
[4,5,7,3,2,1,6]=>[1,4,3,7,6,2,5]=>[1,6,4,3,2,7,5]=>[7,2,4,5,6,1,3]=>000000
[4,5,7,3,2,6,1]=>[1,4,3,7,2,5,6]=>[1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>000000
[4,5,7,3,6,1,2]=>[1,4,3,7,2,5,6]=>[1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>000000
[4,5,7,3,6,2,1]=>[1,4,3,7,2,5,6]=>[1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>000000
[4,5,7,6,1,2,3]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[7,2,3,4,6,5,1]=>000000
[4,5,7,6,1,3,2]=>[1,4,6,3,7,2,5]=>[1,7,6,4,2,3,5]=>[7,1,2,4,6,5,3]=>000000
[4,5,7,6,2,1,3]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[7,2,3,4,6,5,1]=>000000
[4,5,7,6,2,3,1]=>[1,4,6,3,7,2,5]=>[1,7,6,4,2,3,5]=>[7,1,2,4,6,5,3]=>000000
[4,5,7,6,3,1,2]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[7,2,3,4,6,5,1]=>000000
[4,5,7,6,3,2,1]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[7,2,3,4,6,5,1]=>000000
[4,6,1,2,3,5,7]=>[1,4,2,6,5,3,7]=>[1,4,5,2,6,3,7]=>[7,4,3,6,2,5,1]=>000000
[4,6,1,2,3,7,5]=>[1,4,2,6,7,5,3]=>[1,4,5,2,7,6,3]=>[7,4,3,6,1,2,5]=>000000
[4,6,1,2,5,3,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>000000
[4,6,1,2,5,7,3]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>000000
[4,6,1,2,7,3,5]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>000000
[4,6,1,2,7,5,3]=>[1,4,2,6,5,7,3]=>[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>000000
[4,6,1,3,2,5,7]=>[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]=>[7,5,4,6,2,3,1]=>000000
[4,6,1,3,2,7,5]=>[1,4,3,2,6,7,5]=>[1,3,4,2,7,6,5]=>[7,5,4,6,1,2,3]=>000000
[4,6,1,3,5,2,7]=>[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]=>[7,5,4,6,2,3,1]=>000000
[4,6,1,3,5,7,2]=>[1,4,3,2,6,7,5]=>[1,3,4,2,7,6,5]=>[7,5,4,6,1,2,3]=>000000
[4,6,1,3,7,2,5]=>[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]=>[7,5,4,6,2,3,1]=>000000
[4,6,1,3,7,5,2]=>[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]=>[7,5,4,6,2,3,1]=>000000
[4,6,1,5,2,3,7]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>000000
[4,6,1,5,2,7,3]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>000000
[4,6,1,5,3,2,7]=>[1,4,5,3,2,6,7]=>[1,3,5,4,2,6,7]=>[7,5,3,4,6,2,1]=>000000
[4,6,1,5,3,7,2]=>[1,4,5,3,2,6,7]=>[1,3,5,4,2,6,7]=>[7,5,3,4,6,2,1]=>000000
[4,6,1,5,7,2,3]=>[1,4,5,7,3,2,6]=>[1,3,7,4,5,2,6]=>[7,5,1,4,3,6,2]=>000000
[4,6,1,5,7,3,2]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>[7,1,2,4,3,6,5]=>000000
[4,6,1,7,2,3,5]=>[1,4,7,5,2,6,3]=>[1,5,7,4,6,3,2]=>[7,3,1,4,2,5,6]=>000000
[4,6,1,7,2,5,3]=>[1,4,7,3,2,6,5]=>[1,3,7,4,6,2,5]=>[7,5,1,4,2,6,3]=>000000
[4,6,1,7,3,2,5]=>[1,4,7,5,3,2,6]=>[1,3,5,4,7,2,6]=>[7,5,3,4,1,6,2]=>000000
[4,6,1,7,3,5,2]=>[1,4,7,2,6,5,3]=>[1,7,5,4,6,2,3]=>[7,1,3,4,2,6,5]=>000000
[4,6,1,7,5,2,3]=>[1,4,7,3,2,6,5]=>[1,3,7,4,6,2,5]=>[7,5,1,4,2,6,3]=>000000
[4,6,1,7,5,3,2]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>000000
[4,6,2,1,3,5,7]=>[1,4,2,6,5,3,7]=>[1,4,5,2,6,3,7]=>[7,4,3,6,2,5,1]=>000000
[4,6,2,1,3,7,5]=>[1,4,2,6,7,5,3]=>[1,4,5,2,7,6,3]=>[7,4,3,6,1,2,5]=>000000
[4,6,2,1,5,3,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>000000
[4,6,2,1,5,7,3]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>000000
[4,6,2,1,7,3,5]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>000000
[4,6,2,1,7,5,3]=>[1,4,2,6,5,7,3]=>[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>000000
[4,6,2,3,1,5,7]=>[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]=>[7,5,4,6,2,3,1]=>000000
[4,6,2,3,1,7,5]=>[1,4,3,2,6,7,5]=>[1,3,4,2,7,6,5]=>[7,5,4,6,1,2,3]=>000000
[4,6,2,3,5,1,7]=>[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]=>[7,5,4,6,2,3,1]=>000000
[4,6,2,3,5,7,1]=>[1,4,3,2,6,7,5]=>[1,3,4,2,7,6,5]=>[7,5,4,6,1,2,3]=>000000
[4,6,2,3,7,1,5]=>[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]=>[7,5,4,6,2,3,1]=>000000
[4,6,2,3,7,5,1]=>[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]=>[7,5,4,6,2,3,1]=>000000
[4,6,2,5,1,3,7]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>000000
[4,6,2,5,1,7,3]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>000000
[4,6,2,5,3,1,7]=>[1,4,5,3,2,6,7]=>[1,3,5,4,2,6,7]=>[7,5,3,4,6,2,1]=>000000
[4,6,2,5,3,7,1]=>[1,4,5,3,2,6,7]=>[1,3,5,4,2,6,7]=>[7,5,3,4,6,2,1]=>000000
[4,6,2,5,7,1,3]=>[1,4,5,7,3,2,6]=>[1,3,7,4,5,2,6]=>[7,5,1,4,3,6,2]=>000000
[4,6,2,5,7,3,1]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>[7,1,2,4,3,6,5]=>000000
[4,6,2,7,1,3,5]=>[1,4,7,5,2,6,3]=>[1,5,7,4,6,3,2]=>[7,3,1,4,2,5,6]=>000000
[4,6,2,7,1,5,3]=>[1,4,7,3,2,6,5]=>[1,3,7,4,6,2,5]=>[7,5,1,4,2,6,3]=>000000
[4,6,2,7,3,1,5]=>[1,4,7,5,3,2,6]=>[1,3,5,4,7,2,6]=>[7,5,3,4,1,6,2]=>000000
[4,6,2,7,3,5,1]=>[1,4,7,2,6,5,3]=>[1,7,5,4,6,2,3]=>[7,1,3,4,2,6,5]=>000000
[4,6,2,7,5,1,3]=>[1,4,7,3,2,6,5]=>[1,3,7,4,6,2,5]=>[7,5,1,4,2,6,3]=>000000
[4,6,2,7,5,3,1]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>000000
[4,6,3,1,2,5,7]=>[1,4,2,6,5,3,7]=>[1,4,5,2,6,3,7]=>[7,4,3,6,2,5,1]=>000000
[4,6,3,1,2,7,5]=>[1,4,2,6,7,5,3]=>[1,4,5,2,7,6,3]=>[7,4,3,6,1,2,5]=>000000
[4,6,3,1,5,2,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>000000
[4,6,3,1,5,7,2]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>000000
[4,6,3,1,7,2,5]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>000000
[4,6,3,1,7,5,2]=>[1,4,2,6,5,7,3]=>[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>000000
[4,6,3,2,1,5,7]=>[1,4,2,6,5,3,7]=>[1,4,5,2,6,3,7]=>[7,4,3,6,2,5,1]=>000000
[4,6,3,2,1,7,5]=>[1,4,2,6,7,5,3]=>[1,4,5,2,7,6,3]=>[7,4,3,6,1,2,5]=>000000
[4,6,3,2,5,1,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>000000
[4,6,3,2,5,7,1]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>000000
[4,6,3,2,7,1,5]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>000000
[4,6,3,2,7,5,1]=>[1,4,2,6,5,7,3]=>[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>000000
[4,6,3,5,1,2,7]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>000000
[4,6,3,5,1,7,2]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>000000
[4,6,3,5,2,1,7]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>000000
[4,6,3,5,2,7,1]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>000000
[4,6,3,5,7,1,2]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>[7,1,2,4,3,6,5]=>000000
[4,6,3,5,7,2,1]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>[7,1,2,4,3,6,5]=>000000
[4,6,3,7,1,2,5]=>[1,4,7,5,2,6,3]=>[1,5,7,4,6,3,2]=>[7,3,1,4,2,5,6]=>000000
[4,6,3,7,1,5,2]=>[1,4,7,2,6,5,3]=>[1,7,5,4,6,2,3]=>[7,1,3,4,2,6,5]=>000000
[4,6,3,7,2,1,5]=>[1,4,7,5,2,6,3]=>[1,5,7,4,6,3,2]=>[7,3,1,4,2,5,6]=>000000
[4,6,3,7,2,5,1]=>[1,4,7,2,6,5,3]=>[1,7,5,4,6,2,3]=>[7,1,3,4,2,6,5]=>000000
[4,6,3,7,5,1,2]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>000000
[4,6,3,7,5,2,1]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>000000
[4,6,5,1,2,3,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>000000
[4,6,5,1,2,7,3]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>000000
[4,6,5,1,3,2,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>000000
[4,6,5,1,3,7,2]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>000000
[4,6,5,1,7,2,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>000000
[4,6,5,1,7,3,2]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>000000
[4,6,5,2,1,3,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>000000
[4,6,5,2,1,7,3]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>000000
[4,6,5,2,3,1,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>000000
[4,6,5,2,3,7,1]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>000000
[4,6,5,2,7,1,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>000000
[4,6,5,2,7,3,1]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>000000
[4,6,5,3,1,2,7]=>[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>000000
[4,6,5,3,1,7,2]=>[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>000000
[4,6,5,3,2,1,7]=>[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>000000
[4,6,5,3,2,7,1]=>[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>000000
[4,6,5,3,7,1,2]=>[1,4,3,5,7,2,6]=>[1,7,4,3,5,2,6]=>[7,1,4,5,3,6,2]=>000000
[4,6,5,3,7,2,1]=>[1,4,3,5,7,2,6]=>[1,7,4,3,5,2,6]=>[7,1,4,5,3,6,2]=>000000
[4,6,5,7,1,2,3]=>[1,4,7,3,5,2,6]=>[1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>000000
[4,6,5,7,1,3,2]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>000000
[4,6,5,7,2,1,3]=>[1,4,7,3,5,2,6]=>[1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>000000
[4,6,5,7,2,3,1]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>000000
[4,6,5,7,3,1,2]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>000000
[4,6,5,7,3,2,1]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>000000
[4,6,7,1,2,3,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[7,4,2,6,1,5,3]=>000000
[4,6,7,1,2,5,3]=>[1,4,2,6,5,3,7]=>[1,4,5,2,6,3,7]=>[7,4,3,6,2,5,1]=>000000
[4,6,7,1,3,2,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[7,4,2,6,1,5,3]=>000000
[4,6,7,1,3,5,2]=>[1,4,2,6,5,3,7]=>[1,4,5,2,6,3,7]=>[7,4,3,6,2,5,1]=>000000
[4,6,7,1,5,2,3]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[7,4,2,6,1,5,3]=>000000
[4,6,7,1,5,3,2]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[7,4,2,6,1,5,3]=>000000
[4,6,7,2,1,3,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[7,4,2,6,1,5,3]=>000000
[4,6,7,2,1,5,3]=>[1,4,2,6,5,3,7]=>[1,4,5,2,6,3,7]=>[7,4,3,6,2,5,1]=>000000
[4,6,7,2,3,1,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[7,4,2,6,1,5,3]=>000000
[4,6,7,2,3,5,1]=>[1,4,2,6,5,3,7]=>[1,4,5,2,6,3,7]=>[7,4,3,6,2,5,1]=>000000
[4,6,7,2,5,1,3]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[7,4,2,6,1,5,3]=>000000
[4,6,7,2,5,3,1]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[7,4,2,6,1,5,3]=>000000
[4,6,7,3,1,2,5]=>[1,4,3,7,5,2,6]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>000000
[4,6,7,3,1,5,2]=>[1,4,3,7,2,6,5]=>[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>000000
[4,6,7,3,2,1,5]=>[1,4,3,7,5,2,6]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>000000
[4,6,7,3,2,5,1]=>[1,4,3,7,2,6,5]=>[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>000000
[4,6,7,3,5,1,2]=>[1,4,3,7,2,6,5]=>[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>000000
[4,6,7,3,5,2,1]=>[1,4,3,7,2,6,5]=>[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>000000
[4,6,7,5,1,2,3]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>000000
[4,6,7,5,1,3,2]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>000000
[4,6,7,5,2,1,3]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>000000
[4,6,7,5,2,3,1]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>000000
[4,6,7,5,3,1,2]=>[1,4,5,3,7,2,6]=>[1,7,5,4,3,2,6]=>[7,1,3,4,5,6,2]=>000000
[4,6,7,5,3,2,1]=>[1,4,5,3,7,2,6]=>[1,7,5,4,3,2,6]=>[7,1,3,4,5,6,2]=>000000
[4,7,1,2,3,5,6]=>[1,4,2,7,6,5,3]=>[1,4,5,2,6,7,3]=>[7,4,3,6,2,1,5]=>000000
[4,7,1,2,3,6,5]=>[1,4,2,7,5,3,6]=>[1,4,5,2,7,3,6]=>[7,4,3,6,1,5,2]=>000000
[4,7,1,2,5,3,6]=>[1,4,2,7,6,3,5]=>[1,4,6,2,3,7,5]=>[7,4,2,6,5,1,3]=>000000
[4,7,1,2,5,6,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>000000
[4,7,1,2,6,3,5]=>[1,4,2,7,5,6,3]=>[1,4,6,2,7,5,3]=>[7,4,2,6,1,3,5]=>000000
[4,7,1,2,6,5,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>000000
[4,7,1,3,2,5,6]=>[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5]=>[7,5,4,6,2,1,3]=>000000
[4,7,1,3,2,6,5]=>[1,4,3,2,7,5,6]=>[1,3,4,2,7,5,6]=>[7,5,4,6,1,3,2]=>000000
[4,7,1,3,5,2,6]=>[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5]=>[7,5,4,6,2,1,3]=>000000
[4,7,1,3,5,6,2]=>[1,4,3,2,7,5,6]=>[1,3,4,2,7,5,6]=>[7,5,4,6,1,3,2]=>000000
[4,7,1,3,6,2,5]=>[1,4,3,2,7,5,6]=>[1,3,4,2,7,5,6]=>[7,5,4,6,1,3,2]=>000000
[4,7,1,3,6,5,2]=>[1,4,3,2,7,5,6]=>[1,3,4,2,7,5,6]=>[7,5,4,6,1,3,2]=>000000
[4,7,1,5,2,3,6]=>[1,4,5,2,7,6,3]=>[1,5,6,4,2,7,3]=>[7,3,2,4,6,1,5]=>000000
[4,7,1,5,2,6,3]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[7,3,1,4,6,5,2]=>000000
[4,7,1,5,3,2,6]=>[1,4,5,3,2,7,6]=>[1,3,5,4,2,7,6]=>[7,5,3,4,6,1,2]=>000000
[4,7,1,5,3,6,2]=>[1,4,5,3,2,7,6]=>[1,3,5,4,2,7,6]=>[7,5,3,4,6,1,2]=>000000
[4,7,1,5,6,2,3]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>000000
[4,7,1,5,6,3,2]=>[1,4,5,6,3,2,7]=>[1,3,6,4,5,2,7]=>[7,5,2,4,3,6,1]=>000000
[4,7,1,6,2,3,5]=>[1,4,6,3,2,7,5]=>[1,3,6,4,7,2,5]=>[7,5,2,4,1,6,3]=>000000
[4,7,1,6,2,5,3]=>[1,4,6,5,2,7,3]=>[1,5,6,4,7,3,2]=>[7,3,2,4,1,5,6]=>000000
[4,7,1,6,3,2,5]=>[1,4,6,2,7,5,3]=>[1,6,5,4,7,2,3]=>[7,2,3,4,1,6,5]=>000000
[4,7,1,6,3,5,2]=>[1,4,6,5,3,2,7]=>[1,3,5,4,6,2,7]=>[7,5,3,4,2,6,1]=>000000
[4,7,1,6,5,2,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[7,2,1,4,5,6,3]=>000000
[4,7,1,6,5,3,2]=>[1,4,6,3,2,7,5]=>[1,3,6,4,7,2,5]=>[7,5,2,4,1,6,3]=>000000
[4,7,2,1,3,5,6]=>[1,4,2,7,6,5,3]=>[1,4,5,2,6,7,3]=>[7,4,3,6,2,1,5]=>000000
[4,7,2,1,3,6,5]=>[1,4,2,7,5,3,6]=>[1,4,5,2,7,3,6]=>[7,4,3,6,1,5,2]=>000000
[4,7,2,1,5,3,6]=>[1,4,2,7,6,3,5]=>[1,4,6,2,3,7,5]=>[7,4,2,6,5,1,3]=>000000
[4,7,2,1,5,6,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>000000
[4,7,2,1,6,3,5]=>[1,4,2,7,5,6,3]=>[1,4,6,2,7,5,3]=>[7,4,2,6,1,3,5]=>000000
[4,7,2,1,6,5,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>000000
[4,7,2,3,1,5,6]=>[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5]=>[7,5,4,6,2,1,3]=>000000
[4,7,2,3,1,6,5]=>[1,4,3,2,7,5,6]=>[1,3,4,2,7,5,6]=>[7,5,4,6,1,3,2]=>000000
[4,7,2,3,5,1,6]=>[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5]=>[7,5,4,6,2,1,3]=>000000
[4,7,2,3,5,6,1]=>[1,4,3,2,7,5,6]=>[1,3,4,2,7,5,6]=>[7,5,4,6,1,3,2]=>000000
[4,7,2,3,6,1,5]=>[1,4,3,2,7,5,6]=>[1,3,4,2,7,5,6]=>[7,5,4,6,1,3,2]=>000000
[4,7,2,3,6,5,1]=>[1,4,3,2,7,5,6]=>[1,3,4,2,7,5,6]=>[7,5,4,6,1,3,2]=>000000
[4,7,2,5,1,3,6]=>[1,4,5,2,7,6,3]=>[1,5,6,4,2,7,3]=>[7,3,2,4,6,1,5]=>000000
[4,7,2,5,1,6,3]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[7,3,1,4,6,5,2]=>000000
[4,7,2,5,3,1,6]=>[1,4,5,3,2,7,6]=>[1,3,5,4,2,7,6]=>[7,5,3,4,6,1,2]=>000000
[4,7,2,5,3,6,1]=>[1,4,5,3,2,7,6]=>[1,3,5,4,2,7,6]=>[7,5,3,4,6,1,2]=>000000
[4,7,2,5,6,1,3]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>000000
[4,7,2,5,6,3,1]=>[1,4,5,6,3,2,7]=>[1,3,6,4,5,2,7]=>[7,5,2,4,3,6,1]=>000000
[4,7,2,6,1,3,5]=>[1,4,6,3,2,7,5]=>[1,3,6,4,7,2,5]=>[7,5,2,4,1,6,3]=>000000
[4,7,2,6,1,5,3]=>[1,4,6,5,2,7,3]=>[1,5,6,4,7,3,2]=>[7,3,2,4,1,5,6]=>000000
[4,7,2,6,3,1,5]=>[1,4,6,2,7,5,3]=>[1,6,5,4,7,2,3]=>[7,2,3,4,1,6,5]=>000000
[4,7,2,6,3,5,1]=>[1,4,6,5,3,2,7]=>[1,3,5,4,6,2,7]=>[7,5,3,4,2,6,1]=>000000
[4,7,2,6,5,1,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[7,2,1,4,5,6,3]=>000000
[4,7,2,6,5,3,1]=>[1,4,6,3,2,7,5]=>[1,3,6,4,7,2,5]=>[7,5,2,4,1,6,3]=>000000
[4,7,3,1,2,5,6]=>[1,4,2,7,6,5,3]=>[1,4,5,2,6,7,3]=>[7,4,3,6,2,1,5]=>000000
[4,7,3,1,2,6,5]=>[1,4,2,7,5,3,6]=>[1,4,5,2,7,3,6]=>[7,4,3,6,1,5,2]=>000000
[4,7,3,1,5,2,6]=>[1,4,2,7,6,3,5]=>[1,4,6,2,3,7,5]=>[7,4,2,6,5,1,3]=>000000
[4,7,3,1,5,6,2]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>000000
[4,7,3,1,6,2,5]=>[1,4,2,7,5,6,3]=>[1,4,6,2,7,5,3]=>[7,4,2,6,1,3,5]=>000000
[4,7,3,1,6,5,2]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>000000
[4,7,3,2,1,5,6]=>[1,4,2,7,6,5,3]=>[1,4,5,2,6,7,3]=>[7,4,3,6,2,1,5]=>000000
[4,7,3,2,1,6,5]=>[1,4,2,7,5,3,6]=>[1,4,5,2,7,3,6]=>[7,4,3,6,1,5,2]=>000000
[4,7,3,2,5,1,6]=>[1,4,2,7,6,3,5]=>[1,4,6,2,3,7,5]=>[7,4,2,6,5,1,3]=>000000
[4,7,3,2,5,6,1]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>000000
[4,7,3,2,6,1,5]=>[1,4,2,7,5,6,3]=>[1,4,6,2,7,5,3]=>[7,4,2,6,1,3,5]=>000000
[4,7,3,2,6,5,1]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>000000
[4,7,3,5,1,2,6]=>[1,4,5,2,7,6,3]=>[1,5,6,4,2,7,3]=>[7,3,2,4,6,1,5]=>000000
[4,7,3,5,1,6,2]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[7,3,1,4,6,5,2]=>000000
[4,7,3,5,2,1,6]=>[1,4,5,2,7,6,3]=>[1,5,6,4,2,7,3]=>[7,3,2,4,6,1,5]=>000000
[4,7,3,5,2,6,1]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[7,3,1,4,6,5,2]=>000000
[4,7,3,5,6,1,2]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>000000
[4,7,3,5,6,2,1]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>000000
[4,7,3,6,1,2,5]=>[1,4,6,2,7,5,3]=>[1,6,5,4,7,2,3]=>[7,2,3,4,1,6,5]=>000000
[4,7,3,6,1,5,2]=>[1,4,6,5,2,7,3]=>[1,5,6,4,7,3,2]=>[7,3,2,4,1,5,6]=>000000
[4,7,3,6,2,1,5]=>[1,4,6,2,7,5,3]=>[1,6,5,4,7,2,3]=>[7,2,3,4,1,6,5]=>000000
[4,7,3,6,2,5,1]=>[1,4,6,5,2,7,3]=>[1,5,6,4,7,3,2]=>[7,3,2,4,1,5,6]=>000000
[4,7,3,6,5,1,2]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[7,2,1,4,5,6,3]=>000000
[4,7,3,6,5,2,1]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[7,2,1,4,5,6,3]=>000000
[4,7,5,1,2,3,6]=>[1,4,2,7,6,3,5]=>[1,4,6,2,3,7,5]=>[7,4,2,6,5,1,3]=>000000
[4,7,5,1,2,6,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>000000
[4,7,5,1,3,2,6]=>[1,4,2,7,6,3,5]=>[1,4,6,2,3,7,5]=>[7,4,2,6,5,1,3]=>000000
[4,7,5,1,3,6,2]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>000000
[4,7,5,1,6,2,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>000000
[4,7,5,1,6,3,2]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>000000
[4,7,5,2,1,3,6]=>[1,4,2,7,6,3,5]=>[1,4,6,2,3,7,5]=>[7,4,2,6,5,1,3]=>000000
[4,7,5,2,1,6,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>000000
[4,7,5,2,3,1,6]=>[1,4,2,7,6,3,5]=>[1,4,6,2,3,7,5]=>[7,4,2,6,5,1,3]=>000000
[4,7,5,2,3,6,1]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>000000
[4,7,5,2,6,1,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>000000
[4,7,5,2,6,3,1]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>000000
[4,7,5,3,1,2,6]=>[1,4,3,5,2,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>000000
[4,7,5,3,1,6,2]=>[1,4,3,5,2,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>000000
[4,7,5,3,2,1,6]=>[1,4,3,5,2,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>000000
[4,7,5,3,2,6,1]=>[1,4,3,5,2,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>000000
[4,7,5,3,6,1,2]=>[1,4,3,5,6,2,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>000000
[4,7,5,3,6,2,1]=>[1,4,3,5,6,2,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>000000
[4,7,5,6,1,2,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[7,2,1,4,5,6,3]=>000000
[4,7,5,6,1,3,2]=>[1,4,6,3,5,2,7]=>[1,5,6,4,3,2,7]=>[7,3,2,4,5,6,1]=>000000
[4,7,5,6,2,1,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[7,2,1,4,5,6,3]=>000000
[4,7,5,6,2,3,1]=>[1,4,6,3,5,2,7]=>[1,5,6,4,3,2,7]=>[7,3,2,4,5,6,1]=>000000
[4,7,5,6,3,1,2]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[7,2,1,4,5,6,3]=>000000
[4,7,5,6,3,2,1]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[7,2,1,4,5,6,3]=>000000
[4,7,6,1,2,3,5]=>[1,4,2,7,5,3,6]=>[1,4,5,2,7,3,6]=>[7,4,3,6,1,5,2]=>000000
[4,7,6,1,2,5,3]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>000000
[4,7,6,1,3,2,5]=>[1,4,2,7,5,3,6]=>[1,4,5,2,7,3,6]=>[7,4,3,6,1,5,2]=>000000
[4,7,6,1,3,5,2]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>000000
[4,7,6,1,5,2,3]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>000000
[4,7,6,1,5,3,2]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>000000
[4,7,6,2,1,3,5]=>[1,4,2,7,5,3,6]=>[1,4,5,2,7,3,6]=>[7,4,3,6,1,5,2]=>000000
[4,7,6,2,1,5,3]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>000000
[4,7,6,2,3,1,5]=>[1,4,2,7,5,3,6]=>[1,4,5,2,7,3,6]=>[7,4,3,6,1,5,2]=>000000
[4,7,6,2,3,5,1]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>000000
[4,7,6,2,5,1,3]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>000000
[4,7,6,2,5,3,1]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>000000
[4,7,6,3,1,2,5]=>[1,4,3,6,2,7,5]=>[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>000000
[4,7,6,3,1,5,2]=>[1,4,3,6,5,2,7]=>[1,5,4,3,6,2,7]=>[7,3,4,5,2,6,1]=>000000
[4,7,6,3,2,1,5]=>[1,4,3,6,2,7,5]=>[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>000000
[4,7,6,3,2,5,1]=>[1,4,3,6,5,2,7]=>[1,5,4,3,6,2,7]=>[7,3,4,5,2,6,1]=>000000
[4,7,6,3,5,1,2]=>[1,4,3,6,2,7,5]=>[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>000000
[4,7,6,3,5,2,1]=>[1,4,3,6,2,7,5]=>[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>000000
[4,7,6,5,1,2,3]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[7,3,1,4,6,5,2]=>000000
[4,7,6,5,1,3,2]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[7,3,1,4,6,5,2]=>000000
[4,7,6,5,2,1,3]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[7,3,1,4,6,5,2]=>000000
[4,7,6,5,2,3,1]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[7,3,1,4,6,5,2]=>000000
[4,7,6,5,3,1,2]=>[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>000000
[4,7,6,5,3,2,1]=>[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>000000
[5,1,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7]=>[7,5,4,3,6,2,1]=>000000
[5,1,2,3,4,7,6]=>[1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7]=>[7,5,4,3,6,2,1]=>000000
[5,1,2,3,6,4,7]=>[1,5,6,4,3,2,7]=>[1,3,4,6,5,2,7]=>[7,5,4,2,3,6,1]=>000000
[5,1,2,3,6,7,4]=>[1,5,6,7,4,3,2]=>[1,3,4,7,5,6,2]=>[7,5,4,1,3,2,6]=>000000
[5,1,2,3,7,4,6]=>[1,5,7,6,4,3,2]=>[1,3,4,6,5,7,2]=>[7,5,4,2,3,1,6]=>000000
[5,1,2,3,7,6,4]=>[1,5,7,4,3,2,6]=>[1,3,4,7,5,2,6]=>[7,5,4,1,3,6,2]=>000000
[5,1,2,4,3,6,7]=>[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>000000
[5,1,2,4,3,7,6]=>[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>000000
[5,1,2,4,6,3,7]=>[1,5,6,3,2,4,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>000000
[5,1,2,4,6,7,3]=>[1,5,6,7,3,2,4]=>[1,3,7,2,5,6,4]=>[7,5,1,6,3,2,4]=>000000
[5,1,2,4,7,3,6]=>[1,5,7,6,3,2,4]=>[1,3,6,2,5,7,4]=>[7,5,2,6,3,1,4]=>000000
[5,1,2,4,7,6,3]=>[1,5,7,3,2,4,6]=>[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>000000
[5,1,2,6,3,4,7]=>[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>000000
[5,1,2,6,3,7,4]=>[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>000000
[5,1,2,6,4,3,7]=>[1,5,4,6,3,2,7]=>[1,3,6,5,4,2,7]=>[7,5,2,3,4,6,1]=>000000
[5,1,2,6,4,7,3]=>[1,5,4,6,7,3,2]=>[1,3,7,5,4,6,2]=>[7,5,1,3,4,2,6]=>000000
[5,1,2,6,7,3,4]=>[1,5,7,4,6,3,2]=>[1,3,6,7,5,4,2]=>[7,5,2,1,3,4,6]=>000000
[5,1,2,6,7,4,3]=>[1,5,7,3,2,4,6]=>[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>000000
[5,1,2,7,3,4,6]=>[1,5,3,2,4,7,6]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>000000
[5,1,2,7,3,6,4]=>[1,5,3,2,4,7,6]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>000000
[5,1,2,7,4,3,6]=>[1,5,4,7,6,3,2]=>[1,3,6,5,4,7,2]=>[7,5,2,3,4,1,6]=>000000
[5,1,2,7,4,6,3]=>[1,5,4,7,3,2,6]=>[1,3,7,5,4,2,6]=>[7,5,1,3,4,6,2]=>000000
[5,1,2,7,6,3,4]=>[1,5,6,3,2,4,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>000000
[5,1,2,7,6,4,3]=>[1,5,6,4,7,3,2]=>[1,3,7,6,5,4,2]=>[7,5,1,2,3,4,6]=>000000
[5,1,3,2,4,6,7]=>[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>000000
[5,1,3,2,4,7,6]=>[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>000000
[5,1,3,2,6,4,7]=>[1,5,6,4,2,3,7]=>[1,4,2,6,5,3,7]=>[7,4,6,2,3,5,1]=>000000
[5,1,3,2,6,7,4]=>[1,5,6,7,4,2,3]=>[1,4,2,7,5,6,3]=>[7,4,6,1,3,2,5]=>000000
[5,1,3,2,7,4,6]=>[1,5,7,6,4,2,3]=>[1,4,2,6,5,7,3]=>[7,4,6,2,3,1,5]=>000000
[5,1,3,2,7,6,4]=>[1,5,7,4,2,3,6]=>[1,4,2,7,5,3,6]=>[7,4,6,1,3,5,2]=>000000
[5,1,3,4,2,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,1,3,4,2,7,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,1,3,4,6,2,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>000000
[5,1,3,4,6,7,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[7,1,6,5,3,2,4]=>000000
[5,1,3,4,7,2,6]=>[1,5,7,6,2,3,4]=>[1,6,2,3,5,7,4]=>[7,2,6,5,3,1,4]=>000000
[5,1,3,4,7,6,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>000000
[5,1,3,6,2,4,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,1,3,6,2,7,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,1,3,6,4,2,7]=>[1,5,4,6,2,3,7]=>[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>000000
[5,1,3,6,4,7,2]=>[1,5,4,6,7,2,3]=>[1,7,2,5,4,6,3]=>[7,1,6,3,4,2,5]=>000000
[5,1,3,6,7,2,4]=>[1,5,7,4,6,2,3]=>[1,6,2,7,5,4,3]=>[7,2,6,1,3,4,5]=>000000
[5,1,3,6,7,4,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>000000
[5,1,3,7,2,4,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>000000
[5,1,3,7,2,6,4]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>000000
[5,1,3,7,4,2,6]=>[1,5,4,7,6,2,3]=>[1,6,2,5,4,7,3]=>[7,2,6,3,4,1,5]=>000000
[5,1,3,7,4,6,2]=>[1,5,4,7,2,3,6]=>[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>000000
[5,1,3,7,6,2,4]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>000000
[5,1,3,7,6,4,2]=>[1,5,6,4,7,2,3]=>[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>000000
[5,1,4,2,3,6,7]=>[1,5,3,4,2,6,7]=>[1,4,5,3,2,6,7]=>[7,4,3,5,6,2,1]=>000000
[5,1,4,2,3,7,6]=>[1,5,3,4,2,6,7]=>[1,4,5,3,2,6,7]=>[7,4,3,5,6,2,1]=>000000
[5,1,4,2,6,3,7]=>[1,5,6,3,4,2,7]=>[1,4,6,3,5,2,7]=>[7,4,2,5,3,6,1]=>000000
[5,1,4,2,6,7,3]=>[1,5,6,7,3,4,2]=>[1,4,7,3,5,6,2]=>[7,4,1,5,3,2,6]=>000000
[5,1,4,2,7,3,6]=>[1,5,7,6,3,4,2]=>[1,4,6,3,5,7,2]=>[7,4,2,5,3,1,6]=>000000
[5,1,4,2,7,6,3]=>[1,5,7,3,4,2,6]=>[1,4,7,3,5,2,6]=>[7,4,1,5,3,6,2]=>000000
[5,1,4,3,2,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,1,4,3,2,7,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,1,4,3,6,2,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>000000
[5,1,4,3,6,7,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[7,1,6,5,3,2,4]=>000000
[5,1,4,3,7,2,6]=>[1,5,7,6,2,3,4]=>[1,6,2,3,5,7,4]=>[7,2,6,5,3,1,4]=>000000
[5,1,4,3,7,6,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>000000
[5,1,4,6,2,3,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,1,4,6,2,7,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,1,4,6,3,2,7]=>[1,5,3,4,6,2,7]=>[1,6,5,3,4,2,7]=>[7,2,3,5,4,6,1]=>000000
[5,1,4,6,3,7,2]=>[1,5,3,4,6,7,2]=>[1,7,5,3,4,6,2]=>[7,1,3,5,4,2,6]=>000000
[5,1,4,6,7,2,3]=>[1,5,7,3,4,6,2]=>[1,6,7,3,5,4,2]=>[7,2,1,5,3,4,6]=>000000
[5,1,4,6,7,3,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>000000
[5,1,4,7,2,3,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>000000
[5,1,4,7,2,6,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>000000
[5,1,4,7,3,2,6]=>[1,5,3,4,7,6,2]=>[1,6,5,3,4,7,2]=>[7,2,3,5,4,1,6]=>000000
[5,1,4,7,3,6,2]=>[1,5,3,4,7,2,6]=>[1,7,5,3,4,2,6]=>[7,1,3,5,4,6,2]=>000000
[5,1,4,7,6,2,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>000000
[5,1,4,7,6,3,2]=>[1,5,6,3,4,7,2]=>[1,7,6,3,5,4,2]=>[7,1,2,5,3,4,6]=>000000
[5,1,6,2,3,4,7]=>[1,5,3,6,4,2,7]=>[1,4,6,5,2,3,7]=>[7,4,2,3,6,5,1]=>000000
[5,1,6,2,3,7,4]=>[1,5,3,6,7,4,2]=>[1,4,7,5,2,6,3]=>[7,4,1,3,6,2,5]=>000000
[5,1,6,2,4,3,7]=>[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>000000
[5,1,6,2,4,7,3]=>[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>000000
[5,1,6,2,7,3,4]=>[1,5,7,4,2,3,6]=>[1,4,2,7,5,3,6]=>[7,4,6,1,3,5,2]=>000000
[5,1,6,2,7,4,3]=>[1,5,7,3,6,4,2]=>[1,4,6,7,5,2,3]=>[7,4,2,1,3,6,5]=>000000
[5,1,6,3,2,4,7]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>000000
[5,1,6,3,2,7,4]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[7,3,6,1,5,2,4]=>000000
[5,1,6,3,4,2,7]=>[1,5,4,3,6,2,7]=>[1,6,4,5,3,2,7]=>[7,2,4,3,5,6,1]=>000000
[5,1,6,3,4,7,2]=>[1,5,4,3,6,7,2]=>[1,7,4,5,3,6,2]=>[7,1,4,3,5,2,6]=>000000
[5,1,6,3,7,2,4]=>[1,5,7,4,3,6,2]=>[1,6,4,7,5,3,2]=>[7,2,4,1,3,5,6]=>000000
[5,1,6,3,7,4,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[7,1,6,2,3,5,4]=>000000
[5,1,6,4,2,3,7]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>000000
[5,1,6,4,2,7,3]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[7,3,6,1,5,2,4]=>000000
[5,1,6,4,3,2,7]=>[1,5,3,6,2,4,7]=>[1,6,5,2,3,4,7]=>[7,2,3,6,5,4,1]=>000000
[5,1,6,4,3,7,2]=>[1,5,3,6,7,2,4]=>[1,7,5,2,3,6,4]=>[7,1,3,6,5,2,4]=>000000
[5,1,6,4,7,2,3]=>[1,5,7,3,6,2,4]=>[1,6,7,2,5,3,4]=>[7,2,1,6,3,5,4]=>000000
[5,1,6,4,7,3,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[7,1,6,2,3,5,4]=>000000
[5,1,6,7,2,3,4]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>000000
[5,1,6,7,2,4,3]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>000000
[5,1,6,7,3,2,4]=>[1,5,3,6,2,4,7]=>[1,6,5,2,3,4,7]=>[7,2,3,6,5,4,1]=>000000
[5,1,6,7,3,4,2]=>[1,5,3,6,4,7,2]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>000000
[5,1,6,7,4,2,3]=>[1,5,4,7,3,6,2]=>[1,6,7,5,4,3,2]=>[7,2,1,3,4,5,6]=>000000
[5,1,6,7,4,3,2]=>[1,5,4,7,2,3,6]=>[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>000000
[5,1,7,2,3,4,6]=>[1,5,3,7,6,4,2]=>[1,4,6,5,2,7,3]=>[7,4,2,3,6,1,5]=>000000
[5,1,7,2,3,6,4]=>[1,5,3,7,4,2,6]=>[1,4,7,5,2,3,6]=>[7,4,1,3,6,5,2]=>000000
[5,1,7,2,4,3,6]=>[1,5,4,2,3,7,6]=>[1,4,2,5,3,7,6]=>[7,4,6,3,5,1,2]=>000000
[5,1,7,2,4,6,3]=>[1,5,4,2,3,7,6]=>[1,4,2,5,3,7,6]=>[7,4,6,3,5,1,2]=>000000
[5,1,7,2,6,3,4]=>[1,5,6,3,7,4,2]=>[1,4,7,6,5,2,3]=>[7,4,1,2,3,6,5]=>000000
[5,1,7,2,6,4,3]=>[1,5,6,4,2,3,7]=>[1,4,2,6,5,3,7]=>[7,4,6,2,3,5,1]=>000000
[5,1,7,3,2,4,6]=>[1,5,2,3,7,6,4]=>[1,5,2,6,3,7,4]=>[7,3,6,2,5,1,4]=>000000
[5,1,7,3,2,6,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>000000
[5,1,7,3,4,2,6]=>[1,5,4,3,7,6,2]=>[1,6,4,5,3,7,2]=>[7,2,4,3,5,1,6]=>000000
[5,1,7,3,4,6,2]=>[1,5,4,3,7,2,6]=>[1,7,4,5,3,2,6]=>[7,1,4,3,5,6,2]=>000000
[5,1,7,3,6,2,4]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[7,2,6,1,3,5,4]=>000000
[5,1,7,3,6,4,2]=>[1,5,6,4,3,7,2]=>[1,7,4,6,5,3,2]=>[7,1,4,2,3,5,6]=>000000
[5,1,7,4,2,3,6]=>[1,5,2,3,7,6,4]=>[1,5,2,6,3,7,4]=>[7,3,6,2,5,1,4]=>000000
[5,1,7,4,2,6,3]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>000000
[5,1,7,4,3,2,6]=>[1,5,3,7,6,2,4]=>[1,6,5,2,3,7,4]=>[7,2,3,6,5,1,4]=>000000
[5,1,7,4,3,6,2]=>[1,5,3,7,2,4,6]=>[1,7,5,2,3,4,6]=>[7,1,3,6,5,4,2]=>000000
[5,1,7,4,6,2,3]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[7,2,6,1,3,5,4]=>000000
[5,1,7,4,6,3,2]=>[1,5,6,3,7,2,4]=>[1,7,6,2,5,3,4]=>[7,1,2,6,3,5,4]=>000000
[5,1,7,6,2,3,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>000000
[5,1,7,6,2,4,3]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>000000
[5,1,7,6,3,2,4]=>[1,5,3,7,4,6,2]=>[1,6,5,7,3,4,2]=>[7,2,3,1,5,4,6]=>000000
[5,1,7,6,3,4,2]=>[1,5,3,7,2,4,6]=>[1,7,5,2,3,4,6]=>[7,1,3,6,5,4,2]=>000000
[5,1,7,6,4,2,3]=>[1,5,4,6,2,3,7]=>[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>000000
[5,1,7,6,4,3,2]=>[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>000000
[5,2,1,3,4,6,7]=>[1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7]=>[7,5,4,3,6,2,1]=>000000
[5,2,1,3,4,7,6]=>[1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7]=>[7,5,4,3,6,2,1]=>000000
[5,2,1,3,6,4,7]=>[1,5,6,4,3,2,7]=>[1,3,4,6,5,2,7]=>[7,5,4,2,3,6,1]=>000000
[5,2,1,3,6,7,4]=>[1,5,6,7,4,3,2]=>[1,3,4,7,5,6,2]=>[7,5,4,1,3,2,6]=>000000
[5,2,1,3,7,4,6]=>[1,5,7,6,4,3,2]=>[1,3,4,6,5,7,2]=>[7,5,4,2,3,1,6]=>000000
[5,2,1,3,7,6,4]=>[1,5,7,4,3,2,6]=>[1,3,4,7,5,2,6]=>[7,5,4,1,3,6,2]=>000000
[5,2,1,4,3,6,7]=>[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>000000
[5,2,1,4,3,7,6]=>[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>000000
[5,2,1,4,6,3,7]=>[1,5,6,3,2,4,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>000000
[5,2,1,4,6,7,3]=>[1,5,6,7,3,2,4]=>[1,3,7,2,5,6,4]=>[7,5,1,6,3,2,4]=>000000
[5,2,1,4,7,3,6]=>[1,5,7,6,3,2,4]=>[1,3,6,2,5,7,4]=>[7,5,2,6,3,1,4]=>000000
[5,2,1,4,7,6,3]=>[1,5,7,3,2,4,6]=>[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>000000
[5,2,1,6,3,4,7]=>[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>000000
[5,2,1,6,3,7,4]=>[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>000000
[5,2,1,6,4,3,7]=>[1,5,4,6,3,2,7]=>[1,3,6,5,4,2,7]=>[7,5,2,3,4,6,1]=>000000
[5,2,1,6,4,7,3]=>[1,5,4,6,7,3,2]=>[1,3,7,5,4,6,2]=>[7,5,1,3,4,2,6]=>000000
[5,2,1,6,7,3,4]=>[1,5,7,4,6,3,2]=>[1,3,6,7,5,4,2]=>[7,5,2,1,3,4,6]=>000000
[5,2,1,6,7,4,3]=>[1,5,7,3,2,4,6]=>[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>000000
[5,2,1,7,3,4,6]=>[1,5,3,2,4,7,6]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>000000
[5,2,1,7,3,6,4]=>[1,5,3,2,4,7,6]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>000000
[5,2,1,7,4,3,6]=>[1,5,4,7,6,3,2]=>[1,3,6,5,4,7,2]=>[7,5,2,3,4,1,6]=>000000
[5,2,1,7,4,6,3]=>[1,5,4,7,3,2,6]=>[1,3,7,5,4,2,6]=>[7,5,1,3,4,6,2]=>000000
[5,2,1,7,6,3,4]=>[1,5,6,3,2,4,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>000000
[5,2,1,7,6,4,3]=>[1,5,6,4,7,3,2]=>[1,3,7,6,5,4,2]=>[7,5,1,2,3,4,6]=>000000
[5,2,3,1,4,6,7]=>[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>000000
[5,2,3,1,4,7,6]=>[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>000000
[5,2,3,1,6,4,7]=>[1,5,6,4,2,3,7]=>[1,4,2,6,5,3,7]=>[7,4,6,2,3,5,1]=>000000
[5,2,3,1,6,7,4]=>[1,5,6,7,4,2,3]=>[1,4,2,7,5,6,3]=>[7,4,6,1,3,2,5]=>000000
[5,2,3,1,7,4,6]=>[1,5,7,6,4,2,3]=>[1,4,2,6,5,7,3]=>[7,4,6,2,3,1,5]=>000000
[5,2,3,1,7,6,4]=>[1,5,7,4,2,3,6]=>[1,4,2,7,5,3,6]=>[7,4,6,1,3,5,2]=>000000
[5,2,3,4,1,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,2,3,4,1,7,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,2,3,4,6,1,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>000000
[5,2,3,4,6,7,1]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[7,1,6,5,3,2,4]=>000000
[5,2,3,4,7,1,6]=>[1,5,7,6,2,3,4]=>[1,6,2,3,5,7,4]=>[7,2,6,5,3,1,4]=>000000
[5,2,3,4,7,6,1]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>000000
[5,2,3,6,1,4,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,2,3,6,1,7,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,2,3,6,4,1,7]=>[1,5,4,6,2,3,7]=>[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>000000
[5,2,3,6,4,7,1]=>[1,5,4,6,7,2,3]=>[1,7,2,5,4,6,3]=>[7,1,6,3,4,2,5]=>000000
[5,2,3,6,7,1,4]=>[1,5,7,4,6,2,3]=>[1,6,2,7,5,4,3]=>[7,2,6,1,3,4,5]=>000000
[5,2,3,6,7,4,1]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>000000
[5,2,3,7,1,4,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>000000
[5,2,3,7,1,6,4]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>000000
[5,2,3,7,4,1,6]=>[1,5,4,7,6,2,3]=>[1,6,2,5,4,7,3]=>[7,2,6,3,4,1,5]=>000000
[5,2,3,7,4,6,1]=>[1,5,4,7,2,3,6]=>[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>000000
[5,2,3,7,6,1,4]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>000000
[5,2,3,7,6,4,1]=>[1,5,6,4,7,2,3]=>[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>000000
[5,2,4,1,3,6,7]=>[1,5,3,4,2,6,7]=>[1,4,5,3,2,6,7]=>[7,4,3,5,6,2,1]=>000000
[5,2,4,1,3,7,6]=>[1,5,3,4,2,6,7]=>[1,4,5,3,2,6,7]=>[7,4,3,5,6,2,1]=>000000
[5,2,4,1,6,3,7]=>[1,5,6,3,4,2,7]=>[1,4,6,3,5,2,7]=>[7,4,2,5,3,6,1]=>000000
[5,2,4,1,6,7,3]=>[1,5,6,7,3,4,2]=>[1,4,7,3,5,6,2]=>[7,4,1,5,3,2,6]=>000000
[5,2,4,1,7,3,6]=>[1,5,7,6,3,4,2]=>[1,4,6,3,5,7,2]=>[7,4,2,5,3,1,6]=>000000
[5,2,4,1,7,6,3]=>[1,5,7,3,4,2,6]=>[1,4,7,3,5,2,6]=>[7,4,1,5,3,6,2]=>000000
[5,2,4,3,1,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,2,4,3,1,7,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,2,4,3,6,1,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>000000
[5,2,4,3,6,7,1]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[7,1,6,5,3,2,4]=>000000
[5,2,4,3,7,1,6]=>[1,5,7,6,2,3,4]=>[1,6,2,3,5,7,4]=>[7,2,6,5,3,1,4]=>000000
[5,2,4,3,7,6,1]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>000000
[5,2,4,6,1,3,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,2,4,6,1,7,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,2,4,6,3,1,7]=>[1,5,3,4,6,2,7]=>[1,6,5,3,4,2,7]=>[7,2,3,5,4,6,1]=>000000
[5,2,4,6,3,7,1]=>[1,5,3,4,6,7,2]=>[1,7,5,3,4,6,2]=>[7,1,3,5,4,2,6]=>000000
[5,2,4,6,7,1,3]=>[1,5,7,3,4,6,2]=>[1,6,7,3,5,4,2]=>[7,2,1,5,3,4,6]=>000000
[5,2,4,6,7,3,1]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>000000
[5,2,4,7,1,3,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>000000
[5,2,4,7,1,6,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>000000
[5,2,4,7,3,1,6]=>[1,5,3,4,7,6,2]=>[1,6,5,3,4,7,2]=>[7,2,3,5,4,1,6]=>000000
[5,2,4,7,3,6,1]=>[1,5,3,4,7,2,6]=>[1,7,5,3,4,2,6]=>[7,1,3,5,4,6,2]=>000000
[5,2,4,7,6,1,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>000000
[5,2,4,7,6,3,1]=>[1,5,6,3,4,7,2]=>[1,7,6,3,5,4,2]=>[7,1,2,5,3,4,6]=>000000
[5,2,6,1,3,4,7]=>[1,5,3,6,4,2,7]=>[1,4,6,5,2,3,7]=>[7,4,2,3,6,5,1]=>000000
[5,2,6,1,3,7,4]=>[1,5,3,6,7,4,2]=>[1,4,7,5,2,6,3]=>[7,4,1,3,6,2,5]=>000000
[5,2,6,1,4,3,7]=>[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>000000
[5,2,6,1,4,7,3]=>[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>000000
[5,2,6,1,7,3,4]=>[1,5,7,4,2,3,6]=>[1,4,2,7,5,3,6]=>[7,4,6,1,3,5,2]=>000000
[5,2,6,1,7,4,3]=>[1,5,7,3,6,4,2]=>[1,4,6,7,5,2,3]=>[7,4,2,1,3,6,5]=>000000
[5,2,6,3,1,4,7]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>000000
[5,2,6,3,1,7,4]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[7,3,6,1,5,2,4]=>000000
[5,2,6,3,4,1,7]=>[1,5,4,3,6,2,7]=>[1,6,4,5,3,2,7]=>[7,2,4,3,5,6,1]=>000000
[5,2,6,3,4,7,1]=>[1,5,4,3,6,7,2]=>[1,7,4,5,3,6,2]=>[7,1,4,3,5,2,6]=>000000
[5,2,6,3,7,1,4]=>[1,5,7,4,3,6,2]=>[1,6,4,7,5,3,2]=>[7,2,4,1,3,5,6]=>000000
[5,2,6,3,7,4,1]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[7,1,6,2,3,5,4]=>000000
[5,2,6,4,1,3,7]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>000000
[5,2,6,4,1,7,3]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[7,3,6,1,5,2,4]=>000000
[5,2,6,4,3,1,7]=>[1,5,3,6,2,4,7]=>[1,6,5,2,3,4,7]=>[7,2,3,6,5,4,1]=>000000
[5,2,6,4,3,7,1]=>[1,5,3,6,7,2,4]=>[1,7,5,2,3,6,4]=>[7,1,3,6,5,2,4]=>000000
[5,2,6,4,7,1,3]=>[1,5,7,3,6,2,4]=>[1,6,7,2,5,3,4]=>[7,2,1,6,3,5,4]=>000000
[5,2,6,4,7,3,1]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[7,1,6,2,3,5,4]=>000000
[5,2,6,7,1,3,4]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>000000
[5,2,6,7,1,4,3]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>000000
[5,2,6,7,3,1,4]=>[1,5,3,6,2,4,7]=>[1,6,5,2,3,4,7]=>[7,2,3,6,5,4,1]=>000000
[5,2,6,7,3,4,1]=>[1,5,3,6,4,7,2]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>000000
[5,2,6,7,4,1,3]=>[1,5,4,7,3,6,2]=>[1,6,7,5,4,3,2]=>[7,2,1,3,4,5,6]=>000000
[5,2,6,7,4,3,1]=>[1,5,4,7,2,3,6]=>[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>000000
[5,2,7,1,3,4,6]=>[1,5,3,7,6,4,2]=>[1,4,6,5,2,7,3]=>[7,4,2,3,6,1,5]=>000000
[5,2,7,1,3,6,4]=>[1,5,3,7,4,2,6]=>[1,4,7,5,2,3,6]=>[7,4,1,3,6,5,2]=>000000
[5,2,7,1,4,3,6]=>[1,5,4,2,3,7,6]=>[1,4,2,5,3,7,6]=>[7,4,6,3,5,1,2]=>000000
[5,2,7,1,4,6,3]=>[1,5,4,2,3,7,6]=>[1,4,2,5,3,7,6]=>[7,4,6,3,5,1,2]=>000000
[5,2,7,1,6,3,4]=>[1,5,6,3,7,4,2]=>[1,4,7,6,5,2,3]=>[7,4,1,2,3,6,5]=>000000
[5,2,7,1,6,4,3]=>[1,5,6,4,2,3,7]=>[1,4,2,6,5,3,7]=>[7,4,6,2,3,5,1]=>000000
[5,2,7,3,1,4,6]=>[1,5,2,3,7,6,4]=>[1,5,2,6,3,7,4]=>[7,3,6,2,5,1,4]=>000000
[5,2,7,3,1,6,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>000000
[5,2,7,3,4,1,6]=>[1,5,4,3,7,6,2]=>[1,6,4,5,3,7,2]=>[7,2,4,3,5,1,6]=>000000
[5,2,7,3,4,6,1]=>[1,5,4,3,7,2,6]=>[1,7,4,5,3,2,6]=>[7,1,4,3,5,6,2]=>000000
[5,2,7,3,6,1,4]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[7,2,6,1,3,5,4]=>000000
[5,2,7,3,6,4,1]=>[1,5,6,4,3,7,2]=>[1,7,4,6,5,3,2]=>[7,1,4,2,3,5,6]=>000000
[5,2,7,4,1,3,6]=>[1,5,2,3,7,6,4]=>[1,5,2,6,3,7,4]=>[7,3,6,2,5,1,4]=>000000
[5,2,7,4,1,6,3]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>000000
[5,2,7,4,3,1,6]=>[1,5,3,7,6,2,4]=>[1,6,5,2,3,7,4]=>[7,2,3,6,5,1,4]=>000000
[5,2,7,4,3,6,1]=>[1,5,3,7,2,4,6]=>[1,7,5,2,3,4,6]=>[7,1,3,6,5,4,2]=>000000
[5,2,7,4,6,1,3]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[7,2,6,1,3,5,4]=>000000
[5,2,7,4,6,3,1]=>[1,5,6,3,7,2,4]=>[1,7,6,2,5,3,4]=>[7,1,2,6,3,5,4]=>000000
[5,2,7,6,1,3,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>000000
[5,2,7,6,1,4,3]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>000000
[5,2,7,6,3,1,4]=>[1,5,3,7,4,6,2]=>[1,6,5,7,3,4,2]=>[7,2,3,1,5,4,6]=>000000
[5,2,7,6,3,4,1]=>[1,5,3,7,2,4,6]=>[1,7,5,2,3,4,6]=>[7,1,3,6,5,4,2]=>000000
[5,2,7,6,4,1,3]=>[1,5,4,6,2,3,7]=>[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>000000
[5,2,7,6,4,3,1]=>[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>000000
[5,3,1,2,4,6,7]=>[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>000000
[5,3,1,2,4,7,6]=>[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>000000
[5,3,1,2,6,4,7]=>[1,5,6,4,2,3,7]=>[1,4,2,6,5,3,7]=>[7,4,6,2,3,5,1]=>000000
[5,3,1,2,6,7,4]=>[1,5,6,7,4,2,3]=>[1,4,2,7,5,6,3]=>[7,4,6,1,3,2,5]=>000000
[5,3,1,2,7,4,6]=>[1,5,7,6,4,2,3]=>[1,4,2,6,5,7,3]=>[7,4,6,2,3,1,5]=>000000
[5,3,1,2,7,6,4]=>[1,5,7,4,2,3,6]=>[1,4,2,7,5,3,6]=>[7,4,6,1,3,5,2]=>000000
[5,3,1,4,2,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,3,1,4,2,7,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,3,1,4,6,2,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>000000
[5,3,1,4,6,7,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[7,1,6,5,3,2,4]=>000000
[5,3,1,4,7,2,6]=>[1,5,7,6,2,3,4]=>[1,6,2,3,5,7,4]=>[7,2,6,5,3,1,4]=>000000
[5,3,1,4,7,6,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>000000
[5,3,1,6,2,4,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,3,1,6,2,7,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,3,1,6,4,2,7]=>[1,5,4,6,2,3,7]=>[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>000000
[5,3,1,6,4,7,2]=>[1,5,4,6,7,2,3]=>[1,7,2,5,4,6,3]=>[7,1,6,3,4,2,5]=>000000
[5,3,1,6,7,2,4]=>[1,5,7,4,6,2,3]=>[1,6,2,7,5,4,3]=>[7,2,6,1,3,4,5]=>000000
[5,3,1,6,7,4,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>000000
[5,3,1,7,2,4,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>000000
[5,3,1,7,2,6,4]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>000000
[5,3,1,7,4,2,6]=>[1,5,4,7,6,2,3]=>[1,6,2,5,4,7,3]=>[7,2,6,3,4,1,5]=>000000
[5,3,1,7,4,6,2]=>[1,5,4,7,2,3,6]=>[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>000000
[5,3,1,7,6,2,4]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>000000
[5,3,1,7,6,4,2]=>[1,5,6,4,7,2,3]=>[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>000000
[5,3,2,1,4,6,7]=>[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>000000
[5,3,2,1,4,7,6]=>[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>000000
[5,3,2,1,6,4,7]=>[1,5,6,4,2,3,7]=>[1,4,2,6,5,3,7]=>[7,4,6,2,3,5,1]=>000000
[5,3,2,1,6,7,4]=>[1,5,6,7,4,2,3]=>[1,4,2,7,5,6,3]=>[7,4,6,1,3,2,5]=>000000
[5,3,2,1,7,4,6]=>[1,5,7,6,4,2,3]=>[1,4,2,6,5,7,3]=>[7,4,6,2,3,1,5]=>000000
[5,3,2,1,7,6,4]=>[1,5,7,4,2,3,6]=>[1,4,2,7,5,3,6]=>[7,4,6,1,3,5,2]=>000000
[5,3,2,4,1,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,3,2,4,1,7,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,3,2,4,6,1,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>000000
[5,3,2,4,6,7,1]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[7,1,6,5,3,2,4]=>000000
[5,3,2,4,7,1,6]=>[1,5,7,6,2,3,4]=>[1,6,2,3,5,7,4]=>[7,2,6,5,3,1,4]=>000000
[5,3,2,4,7,6,1]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>000000
[5,3,2,6,1,4,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,3,2,6,1,7,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,3,2,6,4,1,7]=>[1,5,4,6,2,3,7]=>[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>000000
[5,3,2,6,4,7,1]=>[1,5,4,6,7,2,3]=>[1,7,2,5,4,6,3]=>[7,1,6,3,4,2,5]=>000000
[5,3,2,6,7,1,4]=>[1,5,7,4,6,2,3]=>[1,6,2,7,5,4,3]=>[7,2,6,1,3,4,5]=>000000
[5,3,2,6,7,4,1]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>000000
[5,3,2,7,1,4,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>000000
[5,3,2,7,1,6,4]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>000000
[5,3,2,7,4,1,6]=>[1,5,4,7,6,2,3]=>[1,6,2,5,4,7,3]=>[7,2,6,3,4,1,5]=>000000
[5,3,2,7,4,6,1]=>[1,5,4,7,2,3,6]=>[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>000000
[5,3,2,7,6,1,4]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>000000
[5,3,2,7,6,4,1]=>[1,5,6,4,7,2,3]=>[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>000000
[5,3,4,1,2,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,3,4,1,2,7,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,3,4,1,6,2,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>000000
[5,3,4,1,6,7,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[7,1,6,5,3,2,4]=>000000
[5,3,4,1,7,2,6]=>[1,5,7,6,2,3,4]=>[1,6,2,3,5,7,4]=>[7,2,6,5,3,1,4]=>000000
[5,3,4,1,7,6,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>000000
[5,3,4,2,1,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,3,4,2,1,7,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,3,4,2,6,1,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>000000
[5,3,4,2,6,7,1]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[7,1,6,5,3,2,4]=>000000
[5,3,4,2,7,1,6]=>[1,5,7,6,2,3,4]=>[1,6,2,3,5,7,4]=>[7,2,6,5,3,1,4]=>000000
[5,3,4,2,7,6,1]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>000000
[5,3,4,6,1,2,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,3,4,6,1,7,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,3,4,6,2,1,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,3,4,6,2,7,1]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>000000
[5,3,4,6,7,1,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>000000
[5,3,4,6,7,2,1]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>000000
[5,3,4,7,1,2,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>000000
[5,3,4,7,1,6,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>000000
[5,3,4,7,2,1,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>000000
[5,3,4,7,2,6,1]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>000000
[5,3,4,7,6,1,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>000000
[5,3,4,7,6,2,1]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>000000
[5,3,6,1,2,4,7]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>000000
[5,3,6,1,2,7,4]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[7,3,6,1,5,2,4]=>000000
[5,3,6,1,4,2,7]=>[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>000000
[5,3,6,1,4,7,2]=>[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>000000
[5,3,6,1,7,2,4]=>[1,5,7,4,2,3,6]=>[1,4,2,7,5,3,6]=>[7,4,6,1,3,5,2]=>000000
[5,3,6,1,7,4,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[7,1,6,2,3,5,4]=>000000
[5,3,6,2,1,4,7]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>000000
[5,3,6,2,1,7,4]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[7,3,6,1,5,2,4]=>000000
[5,3,6,2,4,1,7]=>[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>000000
[5,3,6,2,4,7,1]=>[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>000000
[5,3,6,2,7,1,4]=>[1,5,7,4,2,3,6]=>[1,4,2,7,5,3,6]=>[7,4,6,1,3,5,2]=>000000
[5,3,6,2,7,4,1]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[7,1,6,2,3,5,4]=>000000
[5,3,6,4,1,2,7]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>000000
[5,3,6,4,1,7,2]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[7,3,6,1,5,2,4]=>000000
[5,3,6,4,2,1,7]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>000000
[5,3,6,4,2,7,1]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[7,3,6,1,5,2,4]=>000000
[5,3,6,4,7,1,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[7,1,6,2,3,5,4]=>000000
[5,3,6,4,7,2,1]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[7,1,6,2,3,5,4]=>000000
[5,3,6,7,1,2,4]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>000000
[5,3,6,7,1,4,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>000000
[5,3,6,7,2,1,4]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>000000
[5,3,6,7,2,4,1]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>000000
[5,3,6,7,4,1,2]=>[1,5,4,7,2,3,6]=>[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>000000
[5,3,6,7,4,2,1]=>[1,5,4,7,2,3,6]=>[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>000000
[5,3,7,1,2,4,6]=>[1,5,2,3,7,6,4]=>[1,5,2,6,3,7,4]=>[7,3,6,2,5,1,4]=>000000
[5,3,7,1,2,6,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>000000
[5,3,7,1,4,2,6]=>[1,5,4,2,3,7,6]=>[1,4,2,5,3,7,6]=>[7,4,6,3,5,1,2]=>000000
[5,3,7,1,4,6,2]=>[1,5,4,2,3,7,6]=>[1,4,2,5,3,7,6]=>[7,4,6,3,5,1,2]=>000000
[5,3,7,1,6,2,4]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[7,2,6,1,3,5,4]=>000000
[5,3,7,1,6,4,2]=>[1,5,6,4,2,3,7]=>[1,4,2,6,5,3,7]=>[7,4,6,2,3,5,1]=>000000
[5,3,7,2,1,4,6]=>[1,5,2,3,7,6,4]=>[1,5,2,6,3,7,4]=>[7,3,6,2,5,1,4]=>000000
[5,3,7,2,1,6,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>000000
[5,3,7,2,4,1,6]=>[1,5,4,2,3,7,6]=>[1,4,2,5,3,7,6]=>[7,4,6,3,5,1,2]=>000000
[5,3,7,2,4,6,1]=>[1,5,4,2,3,7,6]=>[1,4,2,5,3,7,6]=>[7,4,6,3,5,1,2]=>000000
[5,3,7,2,6,1,4]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[7,2,6,1,3,5,4]=>000000
[5,3,7,2,6,4,1]=>[1,5,6,4,2,3,7]=>[1,4,2,6,5,3,7]=>[7,4,6,2,3,5,1]=>000000
[5,3,7,4,1,2,6]=>[1,5,2,3,7,6,4]=>[1,5,2,6,3,7,4]=>[7,3,6,2,5,1,4]=>000000
[5,3,7,4,1,6,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>000000
[5,3,7,4,2,1,6]=>[1,5,2,3,7,6,4]=>[1,5,2,6,3,7,4]=>[7,3,6,2,5,1,4]=>000000
[5,3,7,4,2,6,1]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>000000
[5,3,7,4,6,1,2]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[7,2,6,1,3,5,4]=>000000
[5,3,7,4,6,2,1]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[7,2,6,1,3,5,4]=>000000
[5,3,7,6,1,2,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>000000
[5,3,7,6,1,4,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>000000
[5,3,7,6,2,1,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>000000
[5,3,7,6,2,4,1]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>000000
[5,3,7,6,4,1,2]=>[1,5,4,6,2,3,7]=>[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>000000
[5,3,7,6,4,2,1]=>[1,5,4,6,2,3,7]=>[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>000000
[5,4,1,2,3,6,7]=>[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>000000
[5,4,1,2,3,7,6]=>[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>000000
[5,4,1,2,6,3,7]=>[1,5,6,3,2,4,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>000000
[5,4,1,2,6,7,3]=>[1,5,6,7,3,2,4]=>[1,3,7,2,5,6,4]=>[7,5,1,6,3,2,4]=>000000
[5,4,1,2,7,3,6]=>[1,5,7,6,3,2,4]=>[1,3,6,2,5,7,4]=>[7,5,2,6,3,1,4]=>000000
[5,4,1,2,7,6,3]=>[1,5,7,3,2,4,6]=>[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>000000
[5,4,1,3,2,6,7]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>000000
[5,4,1,3,2,7,6]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>000000
[5,4,1,3,6,2,7]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]=>000000
[5,4,1,3,6,7,2]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>[7,1,4,6,3,2,5]=>000000
[5,4,1,3,7,2,6]=>[1,5,7,6,2,4,3]=>[1,6,4,2,5,7,3]=>[7,2,4,6,3,1,5]=>000000
[5,4,1,3,7,6,2]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[7,1,4,6,3,5,2]=>000000
[5,4,1,6,2,3,7]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[7,3,2,6,4,5,1]=>000000
[5,4,1,6,2,7,3]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>[7,3,1,6,4,2,5]=>000000
[5,4,1,6,3,2,7]=>[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>000000
[5,4,1,6,3,7,2]=>[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>000000
[5,4,1,6,7,2,3]=>[1,5,7,3,2,4,6]=>[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>000000
[5,4,1,6,7,3,2]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>000000
[5,4,1,7,2,3,6]=>[1,5,2,4,7,6,3]=>[1,5,6,2,4,7,3]=>[7,3,2,6,4,1,5]=>000000
[5,4,1,7,2,6,3]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>000000
[5,4,1,7,3,2,6]=>[1,5,3,2,4,7,6]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>000000
[5,4,1,7,3,6,2]=>[1,5,3,2,4,7,6]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>000000
[5,4,1,7,6,2,3]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>[7,2,1,6,3,4,5]=>000000
[5,4,1,7,6,3,2]=>[1,5,6,3,2,4,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>000000
[5,4,2,1,3,6,7]=>[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>000000
[5,4,2,1,3,7,6]=>[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>000000
[5,4,2,1,6,3,7]=>[1,5,6,3,2,4,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>000000
[5,4,2,1,6,7,3]=>[1,5,6,7,3,2,4]=>[1,3,7,2,5,6,4]=>[7,5,1,6,3,2,4]=>000000
[5,4,2,1,7,3,6]=>[1,5,7,6,3,2,4]=>[1,3,6,2,5,7,4]=>[7,5,2,6,3,1,4]=>000000
[5,4,2,1,7,6,3]=>[1,5,7,3,2,4,6]=>[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>000000
[5,4,2,3,1,6,7]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>000000
[5,4,2,3,1,7,6]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>000000
[5,4,2,3,6,1,7]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]=>000000
[5,4,2,3,6,7,1]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>[7,1,4,6,3,2,5]=>000000
[5,4,2,3,7,1,6]=>[1,5,7,6,2,4,3]=>[1,6,4,2,5,7,3]=>[7,2,4,6,3,1,5]=>000000
[5,4,2,3,7,6,1]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[7,1,4,6,3,5,2]=>000000
[5,4,2,6,1,3,7]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[7,3,2,6,4,5,1]=>000000
[5,4,2,6,1,7,3]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>[7,3,1,6,4,2,5]=>000000
[5,4,2,6,3,1,7]=>[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>000000
[5,4,2,6,3,7,1]=>[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>000000
[5,4,2,6,7,1,3]=>[1,5,7,3,2,4,6]=>[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>000000
[5,4,2,6,7,3,1]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>000000
[5,4,2,7,1,3,6]=>[1,5,2,4,7,6,3]=>[1,5,6,2,4,7,3]=>[7,3,2,6,4,1,5]=>000000
[5,4,2,7,1,6,3]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>000000
[5,4,2,7,3,1,6]=>[1,5,3,2,4,7,6]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>000000
[5,4,2,7,3,6,1]=>[1,5,3,2,4,7,6]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>000000
[5,4,2,7,6,1,3]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>[7,2,1,6,3,4,5]=>000000
[5,4,2,7,6,3,1]=>[1,5,6,3,2,4,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>000000
[5,4,3,1,2,6,7]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>000000
[5,4,3,1,2,7,6]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>000000
[5,4,3,1,6,2,7]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]=>000000
[5,4,3,1,6,7,2]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>[7,1,4,6,3,2,5]=>000000
[5,4,3,1,7,2,6]=>[1,5,7,6,2,4,3]=>[1,6,4,2,5,7,3]=>[7,2,4,6,3,1,5]=>000000
[5,4,3,1,7,6,2]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[7,1,4,6,3,5,2]=>000000
[5,4,3,2,1,6,7]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>000000
[5,4,3,2,1,7,6]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>000000
[5,4,3,2,6,1,7]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]=>000000
[5,4,3,2,6,7,1]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>[7,1,4,6,3,2,5]=>000000
[5,4,3,2,7,1,6]=>[1,5,7,6,2,4,3]=>[1,6,4,2,5,7,3]=>[7,2,4,6,3,1,5]=>000000
[5,4,3,2,7,6,1]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[7,1,4,6,3,5,2]=>000000
[5,4,3,6,1,2,7]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[7,3,2,6,4,5,1]=>000000
[5,4,3,6,1,7,2]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>[7,3,1,6,4,2,5]=>000000
[5,4,3,6,2,1,7]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[7,3,2,6,4,5,1]=>000000
[5,4,3,6,2,7,1]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>[7,3,1,6,4,2,5]=>000000
[5,4,3,6,7,1,2]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>000000
[5,4,3,6,7,2,1]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>000000
[5,4,3,7,1,2,6]=>[1,5,2,4,7,6,3]=>[1,5,6,2,4,7,3]=>[7,3,2,6,4,1,5]=>000000
[5,4,3,7,1,6,2]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>000000
[5,4,3,7,2,1,6]=>[1,5,2,4,7,6,3]=>[1,5,6,2,4,7,3]=>[7,3,2,6,4,1,5]=>000000
[5,4,3,7,2,6,1]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>000000
[5,4,3,7,6,1,2]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>[7,2,1,6,3,4,5]=>000000
[5,4,3,7,6,2,1]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>[7,2,1,6,3,4,5]=>000000
[5,4,6,1,2,3,7]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>000000
[5,4,6,1,2,7,3]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>000000
[5,4,6,1,3,2,7]=>[1,5,3,6,2,4,7]=>[1,6,5,2,3,4,7]=>[7,2,3,6,5,4,1]=>000000
[5,4,6,1,3,7,2]=>[1,5,3,6,7,2,4]=>[1,7,5,2,3,6,4]=>[7,1,3,6,5,2,4]=>000000
[5,4,6,1,7,2,3]=>[1,5,7,3,6,2,4]=>[1,6,7,2,5,3,4]=>[7,2,1,6,3,5,4]=>000000
[5,4,6,1,7,3,2]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[7,1,4,6,3,5,2]=>000000
[5,4,6,2,1,3,7]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>000000
[5,4,6,2,1,7,3]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>000000
[5,4,6,2,3,1,7]=>[1,5,3,6,2,4,7]=>[1,6,5,2,3,4,7]=>[7,2,3,6,5,4,1]=>000000
[5,4,6,2,3,7,1]=>[1,5,3,6,7,2,4]=>[1,7,5,2,3,6,4]=>[7,1,3,6,5,2,4]=>000000
[5,4,6,2,7,1,3]=>[1,5,7,3,6,2,4]=>[1,6,7,2,5,3,4]=>[7,2,1,6,3,5,4]=>000000
[5,4,6,2,7,3,1]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[7,1,4,6,3,5,2]=>000000
[5,4,6,3,1,2,7]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>000000
[5,4,6,3,1,7,2]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>000000
[5,4,6,3,2,1,7]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>000000
[5,4,6,3,2,7,1]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>000000
[5,4,6,3,7,1,2]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[7,1,4,6,3,5,2]=>000000
[5,4,6,3,7,2,1]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[7,1,4,6,3,5,2]=>000000
[5,4,6,7,1,2,3]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>000000
[5,4,6,7,1,3,2]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>000000
[5,4,6,7,2,1,3]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>000000
[5,4,6,7,2,3,1]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>000000
[5,4,6,7,3,1,2]=>[1,5,3,6,2,4,7]=>[1,6,5,2,3,4,7]=>[7,2,3,6,5,4,1]=>000000
[5,4,6,7,3,2,1]=>[1,5,3,6,2,4,7]=>[1,6,5,2,3,4,7]=>[7,2,3,6,5,4,1]=>000000
[5,4,7,1,2,3,6]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>000000
[5,4,7,1,2,6,3]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>000000
[5,4,7,1,3,2,6]=>[1,5,3,7,6,2,4]=>[1,6,5,2,3,7,4]=>[7,2,3,6,5,1,4]=>000000
[5,4,7,1,3,6,2]=>[1,5,3,7,2,4,6]=>[1,7,5,2,3,4,6]=>[7,1,3,6,5,4,2]=>000000
[5,4,7,1,6,2,3]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]=>000000
[5,4,7,1,6,3,2]=>[1,5,6,3,7,2,4]=>[1,7,6,2,5,3,4]=>[7,1,2,6,3,5,4]=>000000
[5,4,7,2,1,3,6]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>000000
[5,4,7,2,1,6,3]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>000000
[5,4,7,2,3,1,6]=>[1,5,3,7,6,2,4]=>[1,6,5,2,3,7,4]=>[7,2,3,6,5,1,4]=>000000
[5,4,7,2,3,6,1]=>[1,5,3,7,2,4,6]=>[1,7,5,2,3,4,6]=>[7,1,3,6,5,4,2]=>000000
[5,4,7,2,6,1,3]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]=>000000
[5,4,7,2,6,3,1]=>[1,5,6,3,7,2,4]=>[1,7,6,2,5,3,4]=>[7,1,2,6,3,5,4]=>000000
[5,4,7,3,1,2,6]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>000000
[5,4,7,3,1,6,2]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>000000
[5,4,7,3,2,1,6]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>000000
[5,4,7,3,2,6,1]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>000000
[5,4,7,3,6,1,2]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]=>000000
[5,4,7,3,6,2,1]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]=>000000
[5,4,7,6,1,2,3]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[7,3,2,6,4,5,1]=>000000
[5,4,7,6,1,3,2]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[7,3,2,6,4,5,1]=>000000
[5,4,7,6,2,1,3]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[7,3,2,6,4,5,1]=>000000
[5,4,7,6,2,3,1]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[7,3,2,6,4,5,1]=>000000
[5,4,7,6,3,1,2]=>[1,5,3,7,2,4,6]=>[1,7,5,2,3,4,6]=>[7,1,3,6,5,4,2]=>000000
[5,4,7,6,3,2,1]=>[1,5,3,7,2,4,6]=>[1,7,5,2,3,4,6]=>[7,1,3,6,5,4,2]=>000000
[5,6,1,2,3,4,7]=>[1,5,3,2,6,4,7]=>[1,3,5,6,2,4,7]=>[7,5,3,2,6,4,1]=>000000
[5,6,1,2,3,7,4]=>[1,5,3,2,6,7,4]=>[1,3,5,7,2,6,4]=>[7,5,3,1,6,2,4]=>000000
[5,6,1,2,4,3,7]=>[1,5,4,2,6,3,7]=>[1,4,5,6,3,2,7]=>[7,4,3,2,5,6,1]=>000000
[5,6,1,2,4,7,3]=>[1,5,4,2,6,7,3]=>[1,4,5,7,3,6,2]=>[7,4,3,1,5,2,6]=>000000
[5,6,1,2,7,3,4]=>[1,5,7,4,2,6,3]=>[1,4,7,6,5,3,2]=>[7,4,1,2,3,5,6]=>000000
[5,6,1,2,7,4,3]=>[1,5,7,3,2,6,4]=>[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>000000
[5,6,1,3,2,4,7]=>[1,5,2,6,4,3,7]=>[1,5,4,6,2,3,7]=>[7,3,4,2,6,5,1]=>000000
[5,6,1,3,2,7,4]=>[1,5,2,6,7,4,3]=>[1,5,4,7,2,6,3]=>[7,3,4,1,6,2,5]=>000000
[5,6,1,3,4,2,7]=>[1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7]=>[7,5,4,3,6,2,1]=>000000
[5,6,1,3,4,7,2]=>[1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7]=>[7,5,4,3,6,2,1]=>000000
[5,6,1,3,7,2,4]=>[1,5,7,4,3,2,6]=>[1,3,4,7,5,2,6]=>[7,5,4,1,3,6,2]=>000000
[5,6,1,3,7,4,2]=>[1,5,7,2,6,4,3]=>[1,7,4,6,5,2,3]=>[7,1,4,2,3,6,5]=>000000
[5,6,1,4,2,3,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>000000
[5,6,1,4,2,7,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[7,3,1,5,6,2,4]=>000000
[5,6,1,4,3,2,7]=>[1,5,3,2,6,4,7]=>[1,3,5,6,2,4,7]=>[7,5,3,2,6,4,1]=>000000
[5,6,1,4,3,7,2]=>[1,5,3,2,6,7,4]=>[1,3,5,7,2,6,4]=>[7,5,3,1,6,2,4]=>000000
[5,6,1,4,7,2,3]=>[1,5,7,3,2,6,4]=>[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>000000
[5,6,1,4,7,3,2]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>000000
[5,6,1,7,2,3,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>000000
[5,6,1,7,2,4,3]=>[1,5,2,6,4,7,3]=>[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>000000
[5,6,1,7,3,2,4]=>[1,5,3,2,6,4,7]=>[1,3,5,6,2,4,7]=>[7,5,3,2,6,4,1]=>000000
[5,6,1,7,3,4,2]=>[1,5,3,2,6,4,7]=>[1,3,5,6,2,4,7]=>[7,5,3,2,6,4,1]=>000000
[5,6,1,7,4,2,3]=>[1,5,4,7,3,2,6]=>[1,3,7,5,4,2,6]=>[7,5,1,3,4,6,2]=>000000
[5,6,1,7,4,3,2]=>[1,5,4,7,2,6,3]=>[1,7,6,5,4,2,3]=>[7,1,2,3,4,6,5]=>000000
[5,6,2,1,3,4,7]=>[1,5,3,2,6,4,7]=>[1,3,5,6,2,4,7]=>[7,5,3,2,6,4,1]=>000000
[5,6,2,1,3,7,4]=>[1,5,3,2,6,7,4]=>[1,3,5,7,2,6,4]=>[7,5,3,1,6,2,4]=>000000
[5,6,2,1,4,3,7]=>[1,5,4,2,6,3,7]=>[1,4,5,6,3,2,7]=>[7,4,3,2,5,6,1]=>000000
[5,6,2,1,4,7,3]=>[1,5,4,2,6,7,3]=>[1,4,5,7,3,6,2]=>[7,4,3,1,5,2,6]=>000000
[5,6,2,1,7,3,4]=>[1,5,7,4,2,6,3]=>[1,4,7,6,5,3,2]=>[7,4,1,2,3,5,6]=>000000
[5,6,2,1,7,4,3]=>[1,5,7,3,2,6,4]=>[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>000000
[5,6,2,3,1,4,7]=>[1,5,2,6,4,3,7]=>[1,5,4,6,2,3,7]=>[7,3,4,2,6,5,1]=>000000
[5,6,2,3,1,7,4]=>[1,5,2,6,7,4,3]=>[1,5,4,7,2,6,3]=>[7,3,4,1,6,2,5]=>000000
[5,6,2,3,4,1,7]=>[1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7]=>[7,5,4,3,6,2,1]=>000000
[5,6,2,3,4,7,1]=>[1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7]=>[7,5,4,3,6,2,1]=>000000
[5,6,2,3,7,1,4]=>[1,5,7,4,3,2,6]=>[1,3,4,7,5,2,6]=>[7,5,4,1,3,6,2]=>000000
[5,6,2,3,7,4,1]=>[1,5,7,2,6,4,3]=>[1,7,4,6,5,2,3]=>[7,1,4,2,3,6,5]=>000000
[5,6,2,4,1,3,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>000000
[5,6,2,4,1,7,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[7,3,1,5,6,2,4]=>000000
[5,6,2,4,3,1,7]=>[1,5,3,2,6,4,7]=>[1,3,5,6,2,4,7]=>[7,5,3,2,6,4,1]=>000000
[5,6,2,4,3,7,1]=>[1,5,3,2,6,7,4]=>[1,3,5,7,2,6,4]=>[7,5,3,1,6,2,4]=>000000
[5,6,2,4,7,1,3]=>[1,5,7,3,2,6,4]=>[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>000000
[5,6,2,4,7,3,1]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>000000
[5,6,2,7,1,3,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>000000
[5,6,2,7,1,4,3]=>[1,5,2,6,4,7,3]=>[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>000000
[5,6,2,7,3,1,4]=>[1,5,3,2,6,4,7]=>[1,3,5,6,2,4,7]=>[7,5,3,2,6,4,1]=>000000
[5,6,2,7,3,4,1]=>[1,5,3,2,6,4,7]=>[1,3,5,6,2,4,7]=>[7,5,3,2,6,4,1]=>000000
[5,6,2,7,4,1,3]=>[1,5,4,7,3,2,6]=>[1,3,7,5,4,2,6]=>[7,5,1,3,4,6,2]=>000000
[5,6,2,7,4,3,1]=>[1,5,4,7,2,6,3]=>[1,7,6,5,4,2,3]=>[7,1,2,3,4,6,5]=>000000
[5,6,3,1,2,4,7]=>[1,5,2,6,4,3,7]=>[1,5,4,6,2,3,7]=>[7,3,4,2,6,5,1]=>000000
[5,6,3,1,2,7,4]=>[1,5,2,6,7,4,3]=>[1,5,4,7,2,6,3]=>[7,3,4,1,6,2,5]=>000000
[5,6,3,1,4,2,7]=>[1,5,4,2,6,3,7]=>[1,4,5,6,3,2,7]=>[7,4,3,2,5,6,1]=>000000
[5,6,3,1,4,7,2]=>[1,5,4,2,6,7,3]=>[1,4,5,7,3,6,2]=>[7,4,3,1,5,2,6]=>000000
[5,6,3,1,7,2,4]=>[1,5,7,4,2,6,3]=>[1,4,7,6,5,3,2]=>[7,4,1,2,3,5,6]=>000000
[5,6,3,1,7,4,2]=>[1,5,7,2,6,4,3]=>[1,7,4,6,5,2,3]=>[7,1,4,2,3,6,5]=>000000
[5,6,3,2,1,4,7]=>[1,5,2,6,4,3,7]=>[1,5,4,6,2,3,7]=>[7,3,4,2,6,5,1]=>000000
[5,6,3,2,1,7,4]=>[1,5,2,6,7,4,3]=>[1,5,4,7,2,6,3]=>[7,3,4,1,6,2,5]=>000000
[5,6,3,2,4,1,7]=>[1,5,4,2,6,3,7]=>[1,4,5,6,3,2,7]=>[7,4,3,2,5,6,1]=>000000
[5,6,3,2,4,7,1]=>[1,5,4,2,6,7,3]=>[1,4,5,7,3,6,2]=>[7,4,3,1,5,2,6]=>000000
[5,6,3,2,7,1,4]=>[1,5,7,4,2,6,3]=>[1,4,7,6,5,3,2]=>[7,4,1,2,3,5,6]=>000000
[5,6,3,2,7,4,1]=>[1,5,7,2,6,4,3]=>[1,7,4,6,5,2,3]=>[7,1,4,2,3,6,5]=>000000
[5,6,3,4,1,2,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>000000
[5,6,3,4,1,7,2]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[7,3,1,5,6,2,4]=>000000
[5,6,3,4,2,1,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>000000
[5,6,3,4,2,7,1]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[7,3,1,5,6,2,4]=>000000
[5,6,3,4,7,1,2]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>000000
[5,6,3,4,7,2,1]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>000000
[5,6,3,7,1,2,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>000000
[5,6,3,7,1,4,2]=>[1,5,2,6,4,7,3]=>[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>000000
[5,6,3,7,2,1,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>000000
[5,6,3,7,2,4,1]=>[1,5,2,6,4,7,3]=>[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>000000
[5,6,3,7,4,1,2]=>[1,5,4,7,2,6,3]=>[1,7,6,5,4,2,3]=>[7,1,2,3,4,6,5]=>000000
[5,6,3,7,4,2,1]=>[1,5,4,7,2,6,3]=>[1,7,6,5,4,2,3]=>[7,1,2,3,4,6,5]=>000000
[5,6,4,1,2,3,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>000000
[5,6,4,1,2,7,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[7,3,1,5,6,2,4]=>000000
[5,6,4,1,3,2,7]=>[1,5,3,4,2,6,7]=>[1,4,5,3,2,6,7]=>[7,4,3,5,6,2,1]=>000000
[5,6,4,1,3,7,2]=>[1,5,3,4,2,6,7]=>[1,4,5,3,2,6,7]=>[7,4,3,5,6,2,1]=>000000
[5,6,4,1,7,2,3]=>[1,5,7,3,4,2,6]=>[1,4,7,3,5,2,6]=>[7,4,1,5,3,6,2]=>000000
[5,6,4,1,7,3,2]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>000000
[5,6,4,2,1,3,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>000000
[5,6,4,2,1,7,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[7,3,1,5,6,2,4]=>000000
[5,6,4,2,3,1,7]=>[1,5,3,4,2,6,7]=>[1,4,5,3,2,6,7]=>[7,4,3,5,6,2,1]=>000000
[5,6,4,2,3,7,1]=>[1,5,3,4,2,6,7]=>[1,4,5,3,2,6,7]=>[7,4,3,5,6,2,1]=>000000
[5,6,4,2,7,1,3]=>[1,5,7,3,4,2,6]=>[1,4,7,3,5,2,6]=>[7,4,1,5,3,6,2]=>000000
[5,6,4,2,7,3,1]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>000000
[5,6,4,3,1,2,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>000000
[5,6,4,3,1,7,2]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[7,3,1,5,6,2,4]=>000000
[5,6,4,3,2,1,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>000000
[5,6,4,3,2,7,1]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[7,3,1,5,6,2,4]=>000000
[5,6,4,3,7,1,2]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>000000
[5,6,4,3,7,2,1]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>000000
[5,6,4,7,1,2,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>000000
[5,6,4,7,1,3,2]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>000000
[5,6,4,7,2,1,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>000000
[5,6,4,7,2,3,1]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>000000
[5,6,4,7,3,1,2]=>[1,5,3,4,7,2,6]=>[1,7,5,3,4,2,6]=>[7,1,3,5,4,6,2]=>000000
[5,6,4,7,3,2,1]=>[1,5,3,4,7,2,6]=>[1,7,5,3,4,2,6]=>[7,1,3,5,4,6,2]=>000000
[5,6,7,1,2,3,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[7,3,2,1,6,5,4]=>000000
[5,6,7,1,2,4,3]=>[1,5,2,6,4,3,7]=>[1,5,4,6,2,3,7]=>[7,3,4,2,6,5,1]=>000000
[5,6,7,1,3,2,4]=>[1,5,3,7,4,2,6]=>[1,4,7,5,2,3,6]=>[7,4,1,3,6,5,2]=>000000
[5,6,7,1,3,4,2]=>[1,5,3,7,2,6,4]=>[1,7,5,6,3,2,4]=>[7,1,3,2,5,6,4]=>000000
[5,6,7,1,4,2,3]=>[1,5,4,2,6,3,7]=>[1,4,5,6,3,2,7]=>[7,4,3,2,5,6,1]=>000000
[5,6,7,1,4,3,2]=>[1,5,4,2,6,3,7]=>[1,4,5,6,3,2,7]=>[7,4,3,2,5,6,1]=>000000
[5,6,7,2,1,3,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[7,3,2,1,6,5,4]=>000000
[5,6,7,2,1,4,3]=>[1,5,2,6,4,3,7]=>[1,5,4,6,2,3,7]=>[7,3,4,2,6,5,1]=>000000
[5,6,7,2,3,1,4]=>[1,5,3,7,4,2,6]=>[1,4,7,5,2,3,6]=>[7,4,1,3,6,5,2]=>000000
[5,6,7,2,3,4,1]=>[1,5,3,7,2,6,4]=>[1,7,5,6,3,2,4]=>[7,1,3,2,5,6,4]=>000000
[5,6,7,2,4,1,3]=>[1,5,4,2,6,3,7]=>[1,4,5,6,3,2,7]=>[7,4,3,2,5,6,1]=>000000
[5,6,7,2,4,3,1]=>[1,5,4,2,6,3,7]=>[1,4,5,6,3,2,7]=>[7,4,3,2,5,6,1]=>000000
[5,6,7,3,1,2,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[7,3,2,1,6,5,4]=>000000
[5,6,7,3,1,4,2]=>[1,5,2,6,4,3,7]=>[1,5,4,6,2,3,7]=>[7,3,4,2,6,5,1]=>000000
[5,6,7,3,2,1,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[7,3,2,1,6,5,4]=>000000
[5,6,7,3,2,4,1]=>[1,5,2,6,4,3,7]=>[1,5,4,6,2,3,7]=>[7,3,4,2,6,5,1]=>000000
[5,6,7,3,4,1,2]=>[1,5,4,3,7,2,6]=>[1,7,4,5,3,2,6]=>[7,1,4,3,5,6,2]=>000000
[5,6,7,3,4,2,1]=>[1,5,4,3,7,2,6]=>[1,7,4,5,3,2,6]=>[7,1,4,3,5,6,2]=>000000
[5,6,7,4,1,2,3]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[7,3,2,1,6,5,4]=>000000
[5,6,7,4,1,3,2]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[7,3,2,1,6,5,4]=>000000
[5,6,7,4,2,1,3]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[7,3,2,1,6,5,4]=>000000
[5,6,7,4,2,3,1]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[7,3,2,1,6,5,4]=>000000
[5,6,7,4,3,1,2]=>[1,5,3,7,2,6,4]=>[1,7,5,6,3,2,4]=>[7,1,3,2,5,6,4]=>000000
[5,6,7,4,3,2,1]=>[1,5,3,7,2,6,4]=>[1,7,5,6,3,2,4]=>[7,1,3,2,5,6,4]=>000000
[5,7,1,2,3,4,6]=>[1,5,3,2,7,6,4]=>[1,3,5,6,2,7,4]=>[7,5,3,2,6,1,4]=>000000
[5,7,1,2,3,6,4]=>[1,5,3,2,7,4,6]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>000000
[5,7,1,2,4,3,6]=>[1,5,4,2,7,6,3]=>[1,4,5,6,3,7,2]=>[7,4,3,2,5,1,6]=>000000
[5,7,1,2,4,6,3]=>[1,5,4,2,7,3,6]=>[1,4,5,7,3,2,6]=>[7,4,3,1,5,6,2]=>000000
[5,7,1,2,6,3,4]=>[1,5,6,3,2,7,4]=>[1,3,6,7,5,2,4]=>[7,5,2,1,3,6,4]=>000000
[5,7,1,2,6,4,3]=>[1,5,6,4,2,7,3]=>[1,4,6,7,5,3,2]=>[7,4,2,1,3,5,6]=>000000
[5,7,1,3,2,4,6]=>[1,5,2,7,6,4,3]=>[1,5,4,6,2,7,3]=>[7,3,4,2,6,1,5]=>000000
[5,7,1,3,2,6,4]=>[1,5,2,7,4,3,6]=>[1,5,4,7,2,3,6]=>[7,3,4,1,6,5,2]=>000000
[5,7,1,3,4,2,6]=>[1,5,4,3,2,7,6]=>[1,3,4,5,2,7,6]=>[7,5,4,3,6,1,2]=>000000
[5,7,1,3,4,6,2]=>[1,5,4,3,2,7,6]=>[1,3,4,5,2,7,6]=>[7,5,4,3,6,1,2]=>000000
[5,7,1,3,6,2,4]=>[1,5,6,2,7,4,3]=>[1,6,4,7,5,2,3]=>[7,2,4,1,3,6,5]=>000000
[5,7,1,3,6,4,2]=>[1,5,6,4,3,2,7]=>[1,3,4,6,5,2,7]=>[7,5,4,2,3,6,1]=>000000
[5,7,1,4,2,3,6]=>[1,5,2,7,6,3,4]=>[1,5,6,3,2,7,4]=>[7,3,2,5,6,1,4]=>000000
[5,7,1,4,2,6,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>000000
[5,7,1,4,3,2,6]=>[1,5,3,2,7,6,4]=>[1,3,5,6,2,7,4]=>[7,5,3,2,6,1,4]=>000000
[5,7,1,4,3,6,2]=>[1,5,3,2,7,4,6]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>000000
[5,7,1,4,6,2,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[7,2,1,5,3,6,4]=>000000
[5,7,1,4,6,3,2]=>[1,5,6,3,2,7,4]=>[1,3,6,7,5,2,4]=>[7,5,2,1,3,6,4]=>000000
[5,7,1,6,2,3,4]=>[1,5,2,7,4,6,3]=>[1,5,6,7,2,4,3]=>[7,3,2,1,6,4,5]=>000000
[5,7,1,6,2,4,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>000000
[5,7,1,6,3,2,4]=>[1,5,3,2,7,4,6]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>000000
[5,7,1,6,3,4,2]=>[1,5,3,2,7,4,6]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>000000
[5,7,1,6,4,2,3]=>[1,5,4,6,2,7,3]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>000000
[5,7,1,6,4,3,2]=>[1,5,4,6,3,2,7]=>[1,3,6,5,4,2,7]=>[7,5,2,3,4,6,1]=>000000
[5,7,2,1,3,4,6]=>[1,5,3,2,7,6,4]=>[1,3,5,6,2,7,4]=>[7,5,3,2,6,1,4]=>000000
[5,7,2,1,3,6,4]=>[1,5,3,2,7,4,6]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>000000
[5,7,2,1,4,3,6]=>[1,5,4,2,7,6,3]=>[1,4,5,6,3,7,2]=>[7,4,3,2,5,1,6]=>000000
[5,7,2,1,4,6,3]=>[1,5,4,2,7,3,6]=>[1,4,5,7,3,2,6]=>[7,4,3,1,5,6,2]=>000000
[5,7,2,1,6,3,4]=>[1,5,6,3,2,7,4]=>[1,3,6,7,5,2,4]=>[7,5,2,1,3,6,4]=>000000
[5,7,2,1,6,4,3]=>[1,5,6,4,2,7,3]=>[1,4,6,7,5,3,2]=>[7,4,2,1,3,5,6]=>000000
[5,7,2,3,1,4,6]=>[1,5,2,7,6,4,3]=>[1,5,4,6,2,7,3]=>[7,3,4,2,6,1,5]=>000000
[5,7,2,3,1,6,4]=>[1,5,2,7,4,3,6]=>[1,5,4,7,2,3,6]=>[7,3,4,1,6,5,2]=>000000
[5,7,2,3,4,1,6]=>[1,5,4,3,2,7,6]=>[1,3,4,5,2,7,6]=>[7,5,4,3,6,1,2]=>000000
[5,7,2,3,4,6,1]=>[1,5,4,3,2,7,6]=>[1,3,4,5,2,7,6]=>[7,5,4,3,6,1,2]=>000000
[5,7,2,3,6,1,4]=>[1,5,6,2,7,4,3]=>[1,6,4,7,5,2,3]=>[7,2,4,1,3,6,5]=>000000
[5,7,2,3,6,4,1]=>[1,5,6,4,3,2,7]=>[1,3,4,6,5,2,7]=>[7,5,4,2,3,6,1]=>000000
[5,7,2,4,1,3,6]=>[1,5,2,7,6,3,4]=>[1,5,6,3,2,7,4]=>[7,3,2,5,6,1,4]=>000000
[5,7,2,4,1,6,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>000000
[5,7,2,4,3,1,6]=>[1,5,3,2,7,6,4]=>[1,3,5,6,2,7,4]=>[7,5,3,2,6,1,4]=>000000
[5,7,2,4,3,6,1]=>[1,5,3,2,7,4,6]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>000000
[5,7,2,4,6,1,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[7,2,1,5,3,6,4]=>000000
[5,7,2,4,6,3,1]=>[1,5,6,3,2,7,4]=>[1,3,6,7,5,2,4]=>[7,5,2,1,3,6,4]=>000000
[5,7,2,6,1,3,4]=>[1,5,2,7,4,6,3]=>[1,5,6,7,2,4,3]=>[7,3,2,1,6,4,5]=>000000
[5,7,2,6,1,4,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>000000
[5,7,2,6,3,1,4]=>[1,5,3,2,7,4,6]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>000000
[5,7,2,6,3,4,1]=>[1,5,3,2,7,4,6]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>000000
[5,7,2,6,4,1,3]=>[1,5,4,6,2,7,3]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>000000
[5,7,2,6,4,3,1]=>[1,5,4,6,3,2,7]=>[1,3,6,5,4,2,7]=>[7,5,2,3,4,6,1]=>000000
[5,7,3,1,2,4,6]=>[1,5,2,7,6,4,3]=>[1,5,4,6,2,7,3]=>[7,3,4,2,6,1,5]=>000000
[5,7,3,1,2,6,4]=>[1,5,2,7,4,3,6]=>[1,5,4,7,2,3,6]=>[7,3,4,1,6,5,2]=>000000
[5,7,3,1,4,2,6]=>[1,5,4,2,7,6,3]=>[1,4,5,6,3,7,2]=>[7,4,3,2,5,1,6]=>000000
[5,7,3,1,4,6,2]=>[1,5,4,2,7,3,6]=>[1,4,5,7,3,2,6]=>[7,4,3,1,5,6,2]=>000000
[5,7,3,1,6,2,4]=>[1,5,6,2,7,4,3]=>[1,6,4,7,5,2,3]=>[7,2,4,1,3,6,5]=>000000
[5,7,3,1,6,4,2]=>[1,5,6,4,2,7,3]=>[1,4,6,7,5,3,2]=>[7,4,2,1,3,5,6]=>000000
[5,7,3,2,1,4,6]=>[1,5,2,7,6,4,3]=>[1,5,4,6,2,7,3]=>[7,3,4,2,6,1,5]=>000000
[5,7,3,2,1,6,4]=>[1,5,2,7,4,3,6]=>[1,5,4,7,2,3,6]=>[7,3,4,1,6,5,2]=>000000
[5,7,3,2,4,1,6]=>[1,5,4,2,7,6,3]=>[1,4,5,6,3,7,2]=>[7,4,3,2,5,1,6]=>000000
[5,7,3,2,4,6,1]=>[1,5,4,2,7,3,6]=>[1,4,5,7,3,2,6]=>[7,4,3,1,5,6,2]=>000000
[5,7,3,2,6,1,4]=>[1,5,6,2,7,4,3]=>[1,6,4,7,5,2,3]=>[7,2,4,1,3,6,5]=>000000
[5,7,3,2,6,4,1]=>[1,5,6,4,2,7,3]=>[1,4,6,7,5,3,2]=>[7,4,2,1,3,5,6]=>000000
[5,7,3,4,1,2,6]=>[1,5,2,7,6,3,4]=>[1,5,6,3,2,7,4]=>[7,3,2,5,6,1,4]=>000000
[5,7,3,4,1,6,2]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>000000
[5,7,3,4,2,1,6]=>[1,5,2,7,6,3,4]=>[1,5,6,3,2,7,4]=>[7,3,2,5,6,1,4]=>000000
[5,7,3,4,2,6,1]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>000000
[5,7,3,4,6,1,2]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[7,2,1,5,3,6,4]=>000000
[5,7,3,4,6,2,1]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[7,2,1,5,3,6,4]=>000000
[5,7,3,6,1,2,4]=>[1,5,2,7,4,6,3]=>[1,5,6,7,2,4,3]=>[7,3,2,1,6,4,5]=>000000
[5,7,3,6,1,4,2]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>000000
[5,7,3,6,2,1,4]=>[1,5,2,7,4,6,3]=>[1,5,6,7,2,4,3]=>[7,3,2,1,6,4,5]=>000000
[5,7,3,6,2,4,1]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>000000
[5,7,3,6,4,1,2]=>[1,5,4,6,2,7,3]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>000000
[5,7,3,6,4,2,1]=>[1,5,4,6,2,7,3]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>000000
[5,7,4,1,2,3,6]=>[1,5,2,7,6,3,4]=>[1,5,6,3,2,7,4]=>[7,3,2,5,6,1,4]=>000000
[5,7,4,1,2,6,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>000000
[5,7,4,1,3,2,6]=>[1,5,3,4,2,7,6]=>[1,4,5,3,2,7,6]=>[7,4,3,5,6,1,2]=>000000
[5,7,4,1,3,6,2]=>[1,5,3,4,2,7,6]=>[1,4,5,3,2,7,6]=>[7,4,3,5,6,1,2]=>000000
[5,7,4,1,6,2,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[7,2,1,5,3,6,4]=>000000
[5,7,4,1,6,3,2]=>[1,5,6,3,4,2,7]=>[1,4,6,3,5,2,7]=>[7,4,2,5,3,6,1]=>000000
[5,7,4,2,1,3,6]=>[1,5,2,7,6,3,4]=>[1,5,6,3,2,7,4]=>[7,3,2,5,6,1,4]=>000000
[5,7,4,2,1,6,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>000000
[5,7,4,2,3,1,6]=>[1,5,3,4,2,7,6]=>[1,4,5,3,2,7,6]=>[7,4,3,5,6,1,2]=>000000
[5,7,4,2,3,6,1]=>[1,5,3,4,2,7,6]=>[1,4,5,3,2,7,6]=>[7,4,3,5,6,1,2]=>000000
[5,7,4,2,6,1,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[7,2,1,5,3,6,4]=>000000
[5,7,4,2,6,3,1]=>[1,5,6,3,4,2,7]=>[1,4,6,3,5,2,7]=>[7,4,2,5,3,6,1]=>000000
[5,7,4,3,1,2,6]=>[1,5,2,7,6,3,4]=>[1,5,6,3,2,7,4]=>[7,3,2,5,6,1,4]=>000000
[5,7,4,3,1,6,2]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>000000
[5,7,4,3,2,1,6]=>[1,5,2,7,6,3,4]=>[1,5,6,3,2,7,4]=>[7,3,2,5,6,1,4]=>000000
[5,7,4,3,2,6,1]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>000000
[5,7,4,3,6,1,2]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[7,2,1,5,3,6,4]=>000000
[5,7,4,3,6,2,1]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[7,2,1,5,3,6,4]=>000000
[5,7,4,6,1,2,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>000000
[5,7,4,6,1,3,2]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>000000
[5,7,4,6,2,1,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>000000
[5,7,4,6,2,3,1]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>000000
[5,7,4,6,3,1,2]=>[1,5,3,4,6,2,7]=>[1,6,5,3,4,2,7]=>[7,2,3,5,4,6,1]=>000000
[5,7,4,6,3,2,1]=>[1,5,3,4,6,2,7]=>[1,6,5,3,4,2,7]=>[7,2,3,5,4,6,1]=>000000
[5,7,6,1,2,3,4]=>[1,5,2,7,4,3,6]=>[1,5,4,7,2,3,6]=>[7,3,4,1,6,5,2]=>000000
[5,7,6,1,2,4,3]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[7,3,1,2,6,5,4]=>000000
[5,7,6,1,3,2,4]=>[1,5,3,6,2,7,4]=>[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>000000
[5,7,6,1,3,4,2]=>[1,5,3,6,4,2,7]=>[1,4,6,5,2,3,7]=>[7,4,2,3,6,5,1]=>000000
[5,7,6,1,4,2,3]=>[1,5,4,2,7,3,6]=>[1,4,5,7,3,2,6]=>[7,4,3,1,5,6,2]=>000000
[5,7,6,1,4,3,2]=>[1,5,4,2,7,3,6]=>[1,4,5,7,3,2,6]=>[7,4,3,1,5,6,2]=>000000
[5,7,6,2,1,3,4]=>[1,5,2,7,4,3,6]=>[1,5,4,7,2,3,6]=>[7,3,4,1,6,5,2]=>000000
[5,7,6,2,1,4,3]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[7,3,1,2,6,5,4]=>000000
[5,7,6,2,3,1,4]=>[1,5,3,6,2,7,4]=>[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>000000
[5,7,6,2,3,4,1]=>[1,5,3,6,4,2,7]=>[1,4,6,5,2,3,7]=>[7,4,2,3,6,5,1]=>000000
[5,7,6,2,4,1,3]=>[1,5,4,2,7,3,6]=>[1,4,5,7,3,2,6]=>[7,4,3,1,5,6,2]=>000000
[5,7,6,2,4,3,1]=>[1,5,4,2,7,3,6]=>[1,4,5,7,3,2,6]=>[7,4,3,1,5,6,2]=>000000
[5,7,6,3,1,2,4]=>[1,5,2,7,4,3,6]=>[1,5,4,7,2,3,6]=>[7,3,4,1,6,5,2]=>000000
[5,7,6,3,1,4,2]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[7,3,1,2,6,5,4]=>000000
[5,7,6,3,2,1,4]=>[1,5,2,7,4,3,6]=>[1,5,4,7,2,3,6]=>[7,3,4,1,6,5,2]=>000000
[5,7,6,3,2,4,1]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[7,3,1,2,6,5,4]=>000000
[5,7,6,3,4,1,2]=>[1,5,4,3,6,2,7]=>[1,6,4,5,3,2,7]=>[7,2,4,3,5,6,1]=>000000
[5,7,6,3,4,2,1]=>[1,5,4,3,6,2,7]=>[1,6,4,5,3,2,7]=>[7,2,4,3,5,6,1]=>000000
[5,7,6,4,1,2,3]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[7,3,1,2,6,5,4]=>000000
[5,7,6,4,1,3,2]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[7,3,1,2,6,5,4]=>000000
[5,7,6,4,2,1,3]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[7,3,1,2,6,5,4]=>000000
[5,7,6,4,2,3,1]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[7,3,1,2,6,5,4]=>000000
[5,7,6,4,3,1,2]=>[1,5,3,6,2,7,4]=>[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>000000
[5,7,6,4,3,2,1]=>[1,5,3,6,2,7,4]=>[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>000000
[6,1,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>[1,3,4,5,6,2,7]=>[7,5,4,3,2,6,1]=>000000
[6,1,2,3,4,7,5]=>[1,6,7,5,4,3,2]=>[1,3,4,5,7,6,2]=>[7,5,4,3,1,2,6]=>000000
[6,1,2,3,5,4,7]=>[1,6,4,3,2,5,7]=>[1,3,4,6,2,5,7]=>[7,5,4,2,6,3,1]=>000000
[6,1,2,3,5,7,4]=>[1,6,7,4,3,2,5]=>[1,3,4,7,2,6,5]=>[7,5,4,1,6,2,3]=>000000
[6,1,2,3,7,4,5]=>[1,6,4,3,2,5,7]=>[1,3,4,6,2,5,7]=>[7,5,4,2,6,3,1]=>000000
[6,1,2,3,7,5,4]=>[1,6,5,7,4,3,2]=>[1,3,4,7,6,5,2]=>[7,5,4,1,2,3,6]=>000000
[6,1,2,4,3,5,7]=>[1,6,5,3,2,4,7]=>[1,3,5,2,6,4,7]=>[7,5,3,6,2,4,1]=>000000
[6,1,2,4,3,7,5]=>[1,6,7,5,3,2,4]=>[1,3,5,2,7,6,4]=>[7,5,3,6,1,2,4]=>000000
[6,1,2,4,5,3,7]=>[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>000000
[6,1,2,4,5,7,3]=>[1,6,7,3,2,4,5]=>[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>000000
[6,1,2,4,7,3,5]=>[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>000000
[6,1,2,4,7,5,3]=>[1,6,5,7,3,2,4]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>000000
[6,1,2,5,3,4,7]=>[1,6,4,5,3,2,7]=>[1,3,5,6,4,2,7]=>[7,5,3,2,4,6,1]=>000000
[6,1,2,5,3,7,4]=>[1,6,7,4,5,3,2]=>[1,3,5,7,4,6,2]=>[7,5,3,1,4,2,6]=>000000
[6,1,2,5,4,3,7]=>[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>000000
[6,1,2,5,4,7,3]=>[1,6,7,3,2,4,5]=>[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>000000
[6,1,2,5,7,3,4]=>[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>000000
[6,1,2,5,7,4,3]=>[1,6,4,5,7,3,2]=>[1,3,7,6,4,5,2]=>[7,5,1,2,4,3,6]=>000000
[6,1,2,7,3,4,5]=>[1,6,4,7,5,3,2]=>[1,3,5,7,6,2,4]=>[7,5,3,1,2,6,4]=>000000
[6,1,2,7,3,5,4]=>[1,6,5,3,2,4,7]=>[1,3,5,2,6,4,7]=>[7,5,3,6,2,4,1]=>000000
[6,1,2,7,4,3,5]=>[1,6,3,2,4,7,5]=>[1,3,6,2,7,4,5]=>[7,5,2,6,1,4,3]=>000000
[6,1,2,7,4,5,3]=>[1,6,5,4,7,3,2]=>[1,3,7,5,6,4,2]=>[7,5,1,3,2,4,6]=>000000
[6,1,2,7,5,3,4]=>[1,6,3,2,4,7,5]=>[1,3,6,2,7,4,5]=>[7,5,2,6,1,4,3]=>000000
[6,1,2,7,5,4,3]=>[1,6,4,7,3,2,5]=>[1,3,7,6,2,4,5]=>[7,5,1,2,6,4,3]=>000000
[6,1,3,2,4,5,7]=>[1,6,5,4,2,3,7]=>[1,4,2,5,6,3,7]=>[7,4,6,3,2,5,1]=>000000
[6,1,3,2,4,7,5]=>[1,6,7,5,4,2,3]=>[1,4,2,5,7,6,3]=>[7,4,6,3,1,2,5]=>000000
[6,1,3,2,5,4,7]=>[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>000000
[6,1,3,2,5,7,4]=>[1,6,7,4,2,3,5]=>[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>000000
[6,1,3,2,7,4,5]=>[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>000000
[6,1,3,2,7,5,4]=>[1,6,5,7,4,2,3]=>[1,4,2,7,6,5,3]=>[7,4,6,1,2,3,5]=>000000
[6,1,3,4,2,5,7]=>[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>000000
[6,1,3,4,2,7,5]=>[1,6,7,5,2,3,4]=>[1,5,2,3,7,6,4]=>[7,3,6,5,1,2,4]=>000000
[6,1,3,4,5,2,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,1,3,4,5,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>000000
[6,1,3,4,7,2,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,1,3,4,7,5,2]=>[1,6,5,7,2,3,4]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>000000
[6,1,3,5,2,4,7]=>[1,6,4,5,2,3,7]=>[1,5,2,6,4,3,7]=>[7,3,6,2,4,5,1]=>000000
[6,1,3,5,2,7,4]=>[1,6,7,4,5,2,3]=>[1,5,2,7,4,6,3]=>[7,3,6,1,4,2,5]=>000000
[6,1,3,5,4,2,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,1,3,5,4,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>000000
[6,1,3,5,7,2,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,1,3,5,7,4,2]=>[1,6,4,5,7,2,3]=>[1,7,2,6,4,5,3]=>[7,1,6,2,4,3,5]=>000000
[6,1,3,7,2,4,5]=>[1,6,4,7,5,2,3]=>[1,5,2,7,6,3,4]=>[7,3,6,1,2,5,4]=>000000
[6,1,3,7,2,5,4]=>[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>000000
[6,1,3,7,4,2,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>000000
[6,1,3,7,4,5,2]=>[1,6,5,4,7,2,3]=>[1,7,2,5,6,4,3]=>[7,1,6,3,2,4,5]=>000000
[6,1,3,7,5,2,4]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>000000
[6,1,3,7,5,4,2]=>[1,6,4,7,2,3,5]=>[1,7,2,6,3,4,5]=>[7,1,6,2,5,4,3]=>000000
[6,1,4,2,3,5,7]=>[1,6,5,3,4,2,7]=>[1,4,5,3,6,2,7]=>[7,4,3,5,2,6,1]=>000000
[6,1,4,2,3,7,5]=>[1,6,7,5,3,4,2]=>[1,4,5,3,7,6,2]=>[7,4,3,5,1,2,6]=>000000
[6,1,4,2,5,3,7]=>[1,6,3,4,2,5,7]=>[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>000000
[6,1,4,2,5,7,3]=>[1,6,7,3,4,2,5]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>000000
[6,1,4,2,7,3,5]=>[1,6,3,4,2,5,7]=>[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>000000
[6,1,4,2,7,5,3]=>[1,6,5,7,3,4,2]=>[1,4,7,3,6,5,2]=>[7,4,1,5,2,3,6]=>000000
[6,1,4,3,2,5,7]=>[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>000000
[6,1,4,3,2,7,5]=>[1,6,7,5,2,3,4]=>[1,5,2,3,7,6,4]=>[7,3,6,5,1,2,4]=>000000
[6,1,4,3,5,2,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,1,4,3,5,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>000000
[6,1,4,3,7,2,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,1,4,3,7,5,2]=>[1,6,5,7,2,3,4]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>000000
[6,1,4,5,2,3,7]=>[1,6,3,4,5,2,7]=>[1,5,6,3,4,2,7]=>[7,3,2,5,4,6,1]=>000000
[6,1,4,5,2,7,3]=>[1,6,7,3,4,5,2]=>[1,5,7,3,4,6,2]=>[7,3,1,5,4,2,6]=>000000
[6,1,4,5,3,2,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,1,4,5,3,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>000000
[6,1,4,5,7,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,1,4,5,7,3,2]=>[1,6,3,4,5,7,2]=>[1,7,6,3,4,5,2]=>[7,1,2,5,4,3,6]=>000000
[6,1,4,7,2,3,5]=>[1,6,3,4,7,5,2]=>[1,5,7,2,6,4,3]=>[7,3,1,6,2,4,5]=>000000
[6,1,4,7,2,5,3]=>[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>000000
[6,1,4,7,3,2,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>000000
[6,1,4,7,3,5,2]=>[1,6,5,3,4,7,2]=>[1,7,5,3,6,4,2]=>[7,1,3,5,2,4,6]=>000000
[6,1,4,7,5,2,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>000000
[6,1,4,7,5,3,2]=>[1,6,3,4,7,2,5]=>[1,7,6,3,2,4,5]=>[7,1,2,5,6,4,3]=>000000
[6,1,5,2,3,4,7]=>[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>000000
[6,1,5,2,3,7,4]=>[1,6,7,4,2,3,5]=>[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>000000
[6,1,5,2,4,3,7]=>[1,6,3,5,4,2,7]=>[1,4,5,6,2,3,7]=>[7,4,3,2,6,5,1]=>000000
[6,1,5,2,4,7,3]=>[1,6,7,3,5,4,2]=>[1,4,5,7,2,6,3]=>[7,4,3,1,6,2,5]=>000000
[6,1,5,2,7,3,4]=>[1,6,3,5,7,4,2]=>[1,4,7,6,2,5,3]=>[7,4,1,2,6,3,5]=>000000
[6,1,5,2,7,4,3]=>[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>000000
[6,1,5,3,2,4,7]=>[1,6,4,3,5,2,7]=>[1,5,4,6,3,2,7]=>[7,3,4,2,5,6,1]=>000000
[6,1,5,3,2,7,4]=>[1,6,7,4,3,5,2]=>[1,5,4,7,3,6,2]=>[7,3,4,1,5,2,6]=>000000
[6,1,5,3,4,2,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>000000
[6,1,5,3,4,7,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[7,1,6,3,5,2,4]=>000000
[6,1,5,3,7,2,4]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[7,2,6,1,5,3,4]=>000000
[6,1,5,3,7,4,2]=>[1,6,4,3,5,7,2]=>[1,7,4,6,3,5,2]=>[7,1,4,2,5,3,6]=>000000
[6,1,5,4,2,3,7]=>[1,6,3,5,2,4,7]=>[1,5,6,2,3,4,7]=>[7,3,2,6,5,4,1]=>000000
[6,1,5,4,2,7,3]=>[1,6,7,3,5,2,4]=>[1,5,7,2,3,6,4]=>[7,3,1,6,5,2,4]=>000000
[6,1,5,4,3,2,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>000000
[6,1,5,4,3,7,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[7,1,6,3,5,2,4]=>000000
[6,1,5,4,7,2,3]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[7,2,6,1,5,3,4]=>000000
[6,1,5,4,7,3,2]=>[1,6,3,5,7,2,4]=>[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>000000
[6,1,5,7,2,3,4]=>[1,6,3,5,2,4,7]=>[1,5,6,2,3,4,7]=>[7,3,2,6,5,4,1]=>000000
[6,1,5,7,2,4,3]=>[1,6,4,7,3,5,2]=>[1,5,7,6,3,4,2]=>[7,3,1,2,5,4,6]=>000000
[6,1,5,7,3,2,4]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>000000
[6,1,5,7,3,4,2]=>[1,6,4,7,2,3,5]=>[1,7,2,6,3,4,5]=>[7,1,6,2,5,4,3]=>000000
[6,1,5,7,4,2,3]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>000000
[6,1,5,7,4,3,2]=>[1,6,3,5,4,7,2]=>[1,7,6,5,3,4,2]=>[7,1,2,3,5,4,6]=>000000
[6,1,7,2,3,4,5]=>[1,6,4,2,3,7,5]=>[1,4,2,6,7,3,5]=>[7,4,6,2,1,5,3]=>000000
[6,1,7,2,3,5,4]=>[1,6,5,3,7,4,2]=>[1,4,7,5,6,2,3]=>[7,4,1,3,2,6,5]=>000000
[6,1,7,2,4,3,5]=>[1,6,3,7,5,4,2]=>[1,4,5,7,6,3,2]=>[7,4,3,1,2,5,6]=>000000
[6,1,7,2,4,5,3]=>[1,6,5,4,2,3,7]=>[1,4,2,5,6,3,7]=>[7,4,6,3,2,5,1]=>000000
[6,1,7,2,5,3,4]=>[1,6,3,7,4,2,5]=>[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>000000
[6,1,7,2,5,4,3]=>[1,6,4,2,3,7,5]=>[1,4,2,6,7,3,5]=>[7,4,6,2,1,5,3]=>000000
[6,1,7,3,2,4,5]=>[1,6,4,3,7,5,2]=>[1,5,4,7,6,2,3]=>[7,3,4,1,2,6,5]=>000000
[6,1,7,3,2,5,4]=>[1,6,5,2,3,7,4]=>[1,5,2,6,7,4,3]=>[7,3,6,2,1,4,5]=>000000
[6,1,7,3,4,2,5]=>[1,6,2,3,7,5,4]=>[1,6,2,5,7,3,4]=>[7,2,6,3,1,5,4]=>000000
[6,1,7,3,4,5,2]=>[1,6,5,4,3,7,2]=>[1,7,4,5,6,3,2]=>[7,1,4,3,2,5,6]=>000000
[6,1,7,3,5,2,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>000000
[6,1,7,3,5,4,2]=>[1,6,4,3,7,2,5]=>[1,7,4,6,2,3,5]=>[7,1,4,2,6,5,3]=>000000
[6,1,7,4,2,3,5]=>[1,6,3,7,5,2,4]=>[1,5,7,3,6,2,4]=>[7,3,1,5,2,6,4]=>000000
[6,1,7,4,2,5,3]=>[1,6,5,2,3,7,4]=>[1,5,2,6,7,4,3]=>[7,3,6,2,1,4,5]=>000000
[6,1,7,4,3,2,5]=>[1,6,2,3,7,5,4]=>[1,6,2,5,7,3,4]=>[7,2,6,3,1,5,4]=>000000
[6,1,7,4,3,5,2]=>[1,6,5,3,7,2,4]=>[1,7,5,2,6,3,4]=>[7,1,3,6,2,5,4]=>000000
[6,1,7,4,5,2,3]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>000000
[6,1,7,4,5,3,2]=>[1,6,3,7,2,4,5]=>[1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>000000
[6,1,7,5,2,3,4]=>[1,6,3,7,4,5,2]=>[1,5,6,7,4,3,2]=>[7,3,2,1,4,5,6]=>000000
[6,1,7,5,2,4,3]=>[1,6,4,5,2,3,7]=>[1,5,2,6,4,3,7]=>[7,3,6,2,4,5,1]=>000000
[6,1,7,5,3,2,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>000000
[6,1,7,5,3,4,2]=>[1,6,4,5,3,7,2]=>[1,7,5,6,4,3,2]=>[7,1,3,2,4,5,6]=>000000
[6,1,7,5,4,2,3]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>000000
[6,1,7,5,4,3,2]=>[1,6,3,7,2,4,5]=>[1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>000000
[6,2,1,3,4,5,7]=>[1,6,5,4,3,2,7]=>[1,3,4,5,6,2,7]=>[7,5,4,3,2,6,1]=>000000
[6,2,1,3,4,7,5]=>[1,6,7,5,4,3,2]=>[1,3,4,5,7,6,2]=>[7,5,4,3,1,2,6]=>000000
[6,2,1,3,5,4,7]=>[1,6,4,3,2,5,7]=>[1,3,4,6,2,5,7]=>[7,5,4,2,6,3,1]=>000000
[6,2,1,3,5,7,4]=>[1,6,7,4,3,2,5]=>[1,3,4,7,2,6,5]=>[7,5,4,1,6,2,3]=>000000
[6,2,1,3,7,4,5]=>[1,6,4,3,2,5,7]=>[1,3,4,6,2,5,7]=>[7,5,4,2,6,3,1]=>000000
[6,2,1,3,7,5,4]=>[1,6,5,7,4,3,2]=>[1,3,4,7,6,5,2]=>[7,5,4,1,2,3,6]=>000000
[6,2,1,4,3,5,7]=>[1,6,5,3,2,4,7]=>[1,3,5,2,6,4,7]=>[7,5,3,6,2,4,1]=>000000
[6,2,1,4,3,7,5]=>[1,6,7,5,3,2,4]=>[1,3,5,2,7,6,4]=>[7,5,3,6,1,2,4]=>000000
[6,2,1,4,5,3,7]=>[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>000000
[6,2,1,4,5,7,3]=>[1,6,7,3,2,4,5]=>[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>000000
[6,2,1,4,7,3,5]=>[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>000000
[6,2,1,4,7,5,3]=>[1,6,5,7,3,2,4]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>000000
[6,2,1,5,3,4,7]=>[1,6,4,5,3,2,7]=>[1,3,5,6,4,2,7]=>[7,5,3,2,4,6,1]=>000000
[6,2,1,5,3,7,4]=>[1,6,7,4,5,3,2]=>[1,3,5,7,4,6,2]=>[7,5,3,1,4,2,6]=>000000
[6,2,1,5,4,3,7]=>[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>000000
[6,2,1,5,4,7,3]=>[1,6,7,3,2,4,5]=>[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>000000
[6,2,1,5,7,3,4]=>[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>000000
[6,2,1,5,7,4,3]=>[1,6,4,5,7,3,2]=>[1,3,7,6,4,5,2]=>[7,5,1,2,4,3,6]=>000000
[6,2,1,7,3,4,5]=>[1,6,4,7,5,3,2]=>[1,3,5,7,6,2,4]=>[7,5,3,1,2,6,4]=>000000
[6,2,1,7,3,5,4]=>[1,6,5,3,2,4,7]=>[1,3,5,2,6,4,7]=>[7,5,3,6,2,4,1]=>000000
[6,2,1,7,4,3,5]=>[1,6,3,2,4,7,5]=>[1,3,6,2,7,4,5]=>[7,5,2,6,1,4,3]=>000000
[6,2,1,7,4,5,3]=>[1,6,5,4,7,3,2]=>[1,3,7,5,6,4,2]=>[7,5,1,3,2,4,6]=>000000
[6,2,1,7,5,3,4]=>[1,6,3,2,4,7,5]=>[1,3,6,2,7,4,5]=>[7,5,2,6,1,4,3]=>000000
[6,2,1,7,5,4,3]=>[1,6,4,7,3,2,5]=>[1,3,7,6,2,4,5]=>[7,5,1,2,6,4,3]=>000000
[6,2,3,1,4,5,7]=>[1,6,5,4,2,3,7]=>[1,4,2,5,6,3,7]=>[7,4,6,3,2,5,1]=>000000
[6,2,3,1,4,7,5]=>[1,6,7,5,4,2,3]=>[1,4,2,5,7,6,3]=>[7,4,6,3,1,2,5]=>000000
[6,2,3,1,5,4,7]=>[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>000000
[6,2,3,1,5,7,4]=>[1,6,7,4,2,3,5]=>[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>000000
[6,2,3,1,7,4,5]=>[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>000000
[6,2,3,1,7,5,4]=>[1,6,5,7,4,2,3]=>[1,4,2,7,6,5,3]=>[7,4,6,1,2,3,5]=>000000
[6,2,3,4,1,5,7]=>[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>000000
[6,2,3,4,1,7,5]=>[1,6,7,5,2,3,4]=>[1,5,2,3,7,6,4]=>[7,3,6,5,1,2,4]=>000000
[6,2,3,4,5,1,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,2,3,4,5,7,1]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>000000
[6,2,3,4,7,1,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,2,3,4,7,5,1]=>[1,6,5,7,2,3,4]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>000000
[6,2,3,5,1,4,7]=>[1,6,4,5,2,3,7]=>[1,5,2,6,4,3,7]=>[7,3,6,2,4,5,1]=>000000
[6,2,3,5,1,7,4]=>[1,6,7,4,5,2,3]=>[1,5,2,7,4,6,3]=>[7,3,6,1,4,2,5]=>000000
[6,2,3,5,4,1,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,2,3,5,4,7,1]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>000000
[6,2,3,5,7,1,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,2,3,5,7,4,1]=>[1,6,4,5,7,2,3]=>[1,7,2,6,4,5,3]=>[7,1,6,2,4,3,5]=>000000
[6,2,3,7,1,4,5]=>[1,6,4,7,5,2,3]=>[1,5,2,7,6,3,4]=>[7,3,6,1,2,5,4]=>000000
[6,2,3,7,1,5,4]=>[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>000000
[6,2,3,7,4,1,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>000000
[6,2,3,7,4,5,1]=>[1,6,5,4,7,2,3]=>[1,7,2,5,6,4,3]=>[7,1,6,3,2,4,5]=>000000
[6,2,3,7,5,1,4]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>000000
[6,2,3,7,5,4,1]=>[1,6,4,7,2,3,5]=>[1,7,2,6,3,4,5]=>[7,1,6,2,5,4,3]=>000000
[6,2,4,1,3,5,7]=>[1,6,5,3,4,2,7]=>[1,4,5,3,6,2,7]=>[7,4,3,5,2,6,1]=>000000
[6,2,4,1,3,7,5]=>[1,6,7,5,3,4,2]=>[1,4,5,3,7,6,2]=>[7,4,3,5,1,2,6]=>000000
[6,2,4,1,5,3,7]=>[1,6,3,4,2,5,7]=>[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>000000
[6,2,4,1,5,7,3]=>[1,6,7,3,4,2,5]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>000000
[6,2,4,1,7,3,5]=>[1,6,3,4,2,5,7]=>[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>000000
[6,2,4,1,7,5,3]=>[1,6,5,7,3,4,2]=>[1,4,7,3,6,5,2]=>[7,4,1,5,2,3,6]=>000000
[6,2,4,3,1,5,7]=>[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>000000
[6,2,4,3,1,7,5]=>[1,6,7,5,2,3,4]=>[1,5,2,3,7,6,4]=>[7,3,6,5,1,2,4]=>000000
[6,2,4,3,5,1,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,2,4,3,5,7,1]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>000000
[6,2,4,3,7,1,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,2,4,3,7,5,1]=>[1,6,5,7,2,3,4]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>000000
[6,2,4,5,1,3,7]=>[1,6,3,4,5,2,7]=>[1,5,6,3,4,2,7]=>[7,3,2,5,4,6,1]=>000000
[6,2,4,5,1,7,3]=>[1,6,7,3,4,5,2]=>[1,5,7,3,4,6,2]=>[7,3,1,5,4,2,6]=>000000
[6,2,4,5,3,1,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,2,4,5,3,7,1]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>000000
[6,2,4,5,7,1,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,2,4,5,7,3,1]=>[1,6,3,4,5,7,2]=>[1,7,6,3,4,5,2]=>[7,1,2,5,4,3,6]=>000000
[6,2,4,7,1,3,5]=>[1,6,3,4,7,5,2]=>[1,5,7,2,6,4,3]=>[7,3,1,6,2,4,5]=>000000
[6,2,4,7,1,5,3]=>[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>000000
[6,2,4,7,3,1,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>000000
[6,2,4,7,3,5,1]=>[1,6,5,3,4,7,2]=>[1,7,5,3,6,4,2]=>[7,1,3,5,2,4,6]=>000000
[6,2,4,7,5,1,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>000000
[6,2,4,7,5,3,1]=>[1,6,3,4,7,2,5]=>[1,7,6,3,2,4,5]=>[7,1,2,5,6,4,3]=>000000
[6,2,5,1,3,4,7]=>[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>000000
[6,2,5,1,3,7,4]=>[1,6,7,4,2,3,5]=>[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>000000
[6,2,5,1,4,3,7]=>[1,6,3,5,4,2,7]=>[1,4,5,6,2,3,7]=>[7,4,3,2,6,5,1]=>000000
[6,2,5,1,4,7,3]=>[1,6,7,3,5,4,2]=>[1,4,5,7,2,6,3]=>[7,4,3,1,6,2,5]=>000000
[6,2,5,1,7,3,4]=>[1,6,3,5,7,4,2]=>[1,4,7,6,2,5,3]=>[7,4,1,2,6,3,5]=>000000
[6,2,5,1,7,4,3]=>[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>000000
[6,2,5,3,1,4,7]=>[1,6,4,3,5,2,7]=>[1,5,4,6,3,2,7]=>[7,3,4,2,5,6,1]=>000000
[6,2,5,3,1,7,4]=>[1,6,7,4,3,5,2]=>[1,5,4,7,3,6,2]=>[7,3,4,1,5,2,6]=>000000
[6,2,5,3,4,1,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>000000
[6,2,5,3,4,7,1]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[7,1,6,3,5,2,4]=>000000
[6,2,5,3,7,1,4]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[7,2,6,1,5,3,4]=>000000
[6,2,5,3,7,4,1]=>[1,6,4,3,5,7,2]=>[1,7,4,6,3,5,2]=>[7,1,4,2,5,3,6]=>000000
[6,2,5,4,1,3,7]=>[1,6,3,5,2,4,7]=>[1,5,6,2,3,4,7]=>[7,3,2,6,5,4,1]=>000000
[6,2,5,4,1,7,3]=>[1,6,7,3,5,2,4]=>[1,5,7,2,3,6,4]=>[7,3,1,6,5,2,4]=>000000
[6,2,5,4,3,1,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>000000
[6,2,5,4,3,7,1]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[7,1,6,3,5,2,4]=>000000
[6,2,5,4,7,1,3]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[7,2,6,1,5,3,4]=>000000
[6,2,5,4,7,3,1]=>[1,6,3,5,7,2,4]=>[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>000000
[6,2,5,7,1,3,4]=>[1,6,3,5,2,4,7]=>[1,5,6,2,3,4,7]=>[7,3,2,6,5,4,1]=>000000
[6,2,5,7,1,4,3]=>[1,6,4,7,3,5,2]=>[1,5,7,6,3,4,2]=>[7,3,1,2,5,4,6]=>000000
[6,2,5,7,3,1,4]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>000000
[6,2,5,7,3,4,1]=>[1,6,4,7,2,3,5]=>[1,7,2,6,3,4,5]=>[7,1,6,2,5,4,3]=>000000
[6,2,5,7,4,1,3]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>000000
[6,2,5,7,4,3,1]=>[1,6,3,5,4,7,2]=>[1,7,6,5,3,4,2]=>[7,1,2,3,5,4,6]=>000000
[6,2,7,1,3,4,5]=>[1,6,4,2,3,7,5]=>[1,4,2,6,7,3,5]=>[7,4,6,2,1,5,3]=>000000
[6,2,7,1,3,5,4]=>[1,6,5,3,7,4,2]=>[1,4,7,5,6,2,3]=>[7,4,1,3,2,6,5]=>000000
[6,2,7,1,4,3,5]=>[1,6,3,7,5,4,2]=>[1,4,5,7,6,3,2]=>[7,4,3,1,2,5,6]=>000000
[6,2,7,1,4,5,3]=>[1,6,5,4,2,3,7]=>[1,4,2,5,6,3,7]=>[7,4,6,3,2,5,1]=>000000
[6,2,7,1,5,3,4]=>[1,6,3,7,4,2,5]=>[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>000000
[6,2,7,1,5,4,3]=>[1,6,4,2,3,7,5]=>[1,4,2,6,7,3,5]=>[7,4,6,2,1,5,3]=>000000
[6,2,7,3,1,4,5]=>[1,6,4,3,7,5,2]=>[1,5,4,7,6,2,3]=>[7,3,4,1,2,6,5]=>000000
[6,2,7,3,1,5,4]=>[1,6,5,2,3,7,4]=>[1,5,2,6,7,4,3]=>[7,3,6,2,1,4,5]=>000000
[6,2,7,3,4,1,5]=>[1,6,2,3,7,5,4]=>[1,6,2,5,7,3,4]=>[7,2,6,3,1,5,4]=>000000
[6,2,7,3,4,5,1]=>[1,6,5,4,3,7,2]=>[1,7,4,5,6,3,2]=>[7,1,4,3,2,5,6]=>000000
[6,2,7,3,5,1,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>000000
[6,2,7,3,5,4,1]=>[1,6,4,3,7,2,5]=>[1,7,4,6,2,3,5]=>[7,1,4,2,6,5,3]=>000000
[6,2,7,4,1,3,5]=>[1,6,3,7,5,2,4]=>[1,5,7,3,6,2,4]=>[7,3,1,5,2,6,4]=>000000
[6,2,7,4,1,5,3]=>[1,6,5,2,3,7,4]=>[1,5,2,6,7,4,3]=>[7,3,6,2,1,4,5]=>000000
[6,2,7,4,3,1,5]=>[1,6,2,3,7,5,4]=>[1,6,2,5,7,3,4]=>[7,2,6,3,1,5,4]=>000000
[6,2,7,4,3,5,1]=>[1,6,5,3,7,2,4]=>[1,7,5,2,6,3,4]=>[7,1,3,6,2,5,4]=>000000
[6,2,7,4,5,1,3]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>000000
[6,2,7,4,5,3,1]=>[1,6,3,7,2,4,5]=>[1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>000000
[6,2,7,5,1,3,4]=>[1,6,3,7,4,5,2]=>[1,5,6,7,4,3,2]=>[7,3,2,1,4,5,6]=>000000
[6,2,7,5,1,4,3]=>[1,6,4,5,2,3,7]=>[1,5,2,6,4,3,7]=>[7,3,6,2,4,5,1]=>000000
[6,2,7,5,3,1,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>000000
[6,2,7,5,3,4,1]=>[1,6,4,5,3,7,2]=>[1,7,5,6,4,3,2]=>[7,1,3,2,4,5,6]=>000000
[6,2,7,5,4,1,3]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>000000
[6,2,7,5,4,3,1]=>[1,6,3,7,2,4,5]=>[1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>000000
[6,3,1,2,4,5,7]=>[1,6,5,4,2,3,7]=>[1,4,2,5,6,3,7]=>[7,4,6,3,2,5,1]=>000000
[6,3,1,2,4,7,5]=>[1,6,7,5,4,2,3]=>[1,4,2,5,7,6,3]=>[7,4,6,3,1,2,5]=>000000
[6,3,1,2,5,4,7]=>[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>000000
[6,3,1,2,5,7,4]=>[1,6,7,4,2,3,5]=>[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>000000
[6,3,1,2,7,4,5]=>[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>000000
[6,3,1,2,7,5,4]=>[1,6,5,7,4,2,3]=>[1,4,2,7,6,5,3]=>[7,4,6,1,2,3,5]=>000000
[6,3,1,4,2,5,7]=>[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>000000
[6,3,1,4,2,7,5]=>[1,6,7,5,2,3,4]=>[1,5,2,3,7,6,4]=>[7,3,6,5,1,2,4]=>000000
[6,3,1,4,5,2,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,3,1,4,5,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>000000
[6,3,1,4,7,2,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,3,1,4,7,5,2]=>[1,6,5,7,2,3,4]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>000000
[6,3,1,5,2,4,7]=>[1,6,4,5,2,3,7]=>[1,5,2,6,4,3,7]=>[7,3,6,2,4,5,1]=>000000
[6,3,1,5,2,7,4]=>[1,6,7,4,5,2,3]=>[1,5,2,7,4,6,3]=>[7,3,6,1,4,2,5]=>000000
[6,3,1,5,4,2,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,3,1,5,4,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>000000
[6,3,1,5,7,2,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,3,1,5,7,4,2]=>[1,6,4,5,7,2,3]=>[1,7,2,6,4,5,3]=>[7,1,6,2,4,3,5]=>000000
[6,3,1,7,2,4,5]=>[1,6,4,7,5,2,3]=>[1,5,2,7,6,3,4]=>[7,3,6,1,2,5,4]=>000000
[6,3,1,7,2,5,4]=>[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>000000
[6,3,1,7,4,2,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>000000
[6,3,1,7,4,5,2]=>[1,6,5,4,7,2,3]=>[1,7,2,5,6,4,3]=>[7,1,6,3,2,4,5]=>000000
[6,3,1,7,5,2,4]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>000000
[6,3,1,7,5,4,2]=>[1,6,4,7,2,3,5]=>[1,7,2,6,3,4,5]=>[7,1,6,2,5,4,3]=>000000
[6,3,2,1,4,5,7]=>[1,6,5,4,2,3,7]=>[1,4,2,5,6,3,7]=>[7,4,6,3,2,5,1]=>000000
[6,3,2,1,4,7,5]=>[1,6,7,5,4,2,3]=>[1,4,2,5,7,6,3]=>[7,4,6,3,1,2,5]=>000000
[6,3,2,1,5,4,7]=>[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>000000
[6,3,2,1,5,7,4]=>[1,6,7,4,2,3,5]=>[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>000000
[6,3,2,1,7,4,5]=>[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>000000
[6,3,2,1,7,5,4]=>[1,6,5,7,4,2,3]=>[1,4,2,7,6,5,3]=>[7,4,6,1,2,3,5]=>000000
[6,3,2,4,1,5,7]=>[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>000000
[6,3,2,4,1,7,5]=>[1,6,7,5,2,3,4]=>[1,5,2,3,7,6,4]=>[7,3,6,5,1,2,4]=>000000
[6,3,2,4,5,1,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,3,2,4,5,7,1]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>000000
[6,3,2,4,7,1,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,3,2,4,7,5,1]=>[1,6,5,7,2,3,4]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>000000
[6,3,2,5,1,4,7]=>[1,6,4,5,2,3,7]=>[1,5,2,6,4,3,7]=>[7,3,6,2,4,5,1]=>000000
[6,3,2,5,1,7,4]=>[1,6,7,4,5,2,3]=>[1,5,2,7,4,6,3]=>[7,3,6,1,4,2,5]=>000000
[6,3,2,5,4,1,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,3,2,5,4,7,1]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>000000
[6,3,2,5,7,1,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,3,2,5,7,4,1]=>[1,6,4,5,7,2,3]=>[1,7,2,6,4,5,3]=>[7,1,6,2,4,3,5]=>000000
[6,3,2,7,1,4,5]=>[1,6,4,7,5,2,3]=>[1,5,2,7,6,3,4]=>[7,3,6,1,2,5,4]=>000000
[6,3,2,7,1,5,4]=>[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>000000
[6,3,2,7,4,1,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>000000
[6,3,2,7,4,5,1]=>[1,6,5,4,7,2,3]=>[1,7,2,5,6,4,3]=>[7,1,6,3,2,4,5]=>000000
[6,3,2,7,5,1,4]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>000000
[6,3,2,7,5,4,1]=>[1,6,4,7,2,3,5]=>[1,7,2,6,3,4,5]=>[7,1,6,2,5,4,3]=>000000
[6,3,4,1,2,5,7]=>[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>000000
[6,3,4,1,2,7,5]=>[1,6,7,5,2,3,4]=>[1,5,2,3,7,6,4]=>[7,3,6,5,1,2,4]=>000000
[6,3,4,1,5,2,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,3,4,1,5,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>000000
[6,3,4,1,7,2,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,3,4,1,7,5,2]=>[1,6,5,7,2,3,4]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>000000
[6,3,4,2,1,5,7]=>[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>000000
[6,3,4,2,1,7,5]=>[1,6,7,5,2,3,4]=>[1,5,2,3,7,6,4]=>[7,3,6,5,1,2,4]=>000000
[6,3,4,2,5,1,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,3,4,2,5,7,1]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>000000
[6,3,4,2,7,1,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,3,4,2,7,5,1]=>[1,6,5,7,2,3,4]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>000000
[6,3,4,5,1,2,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,3,4,5,1,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>000000
[6,3,4,5,2,1,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,3,4,5,2,7,1]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>000000
[6,3,4,5,7,1,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,3,4,5,7,2,1]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>000000
[6,3,4,7,1,2,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>000000
[6,3,4,7,1,5,2]=>[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>000000
[6,3,4,7,2,1,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>000000
[6,3,4,7,2,5,1]=>[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>000000
[6,3,4,7,5,1,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>000000
[6,3,4,7,5,2,1]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>000000
[6,3,5,1,2,4,7]=>[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>000000
[6,3,5,1,2,7,4]=>[1,6,7,4,2,3,5]=>[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>000000
[6,3,5,1,4,2,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>000000
[6,3,5,1,4,7,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[7,1,6,3,5,2,4]=>000000
[6,3,5,1,7,2,4]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[7,2,6,1,5,3,4]=>000000
[6,3,5,1,7,4,2]=>[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>000000
[6,3,5,2,1,4,7]=>[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>000000
[6,3,5,2,1,7,4]=>[1,6,7,4,2,3,5]=>[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>000000
[6,3,5,2,4,1,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>000000
[6,3,5,2,4,7,1]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[7,1,6,3,5,2,4]=>000000
[6,3,5,2,7,1,4]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[7,2,6,1,5,3,4]=>000000
[6,3,5,2,7,4,1]=>[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>000000
[6,3,5,4,1,2,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>000000
[6,3,5,4,1,7,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[7,1,6,3,5,2,4]=>000000
[6,3,5,4,2,1,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>000000
[6,3,5,4,2,7,1]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[7,1,6,3,5,2,4]=>000000
[6,3,5,4,7,1,2]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[7,2,6,1,5,3,4]=>000000
[6,3,5,4,7,2,1]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[7,2,6,1,5,3,4]=>000000
[6,3,5,7,1,2,4]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>000000
[6,3,5,7,1,4,2]=>[1,6,4,7,2,3,5]=>[1,7,2,6,3,4,5]=>[7,1,6,2,5,4,3]=>000000
[6,3,5,7,2,1,4]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>000000
[6,3,5,7,2,4,1]=>[1,6,4,7,2,3,5]=>[1,7,2,6,3,4,5]=>[7,1,6,2,5,4,3]=>000000
[6,3,5,7,4,1,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>000000
[6,3,5,7,4,2,1]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>000000
[6,3,7,1,2,4,5]=>[1,6,4,2,3,7,5]=>[1,4,2,6,7,3,5]=>[7,4,6,2,1,5,3]=>000000
[6,3,7,1,2,5,4]=>[1,6,5,2,3,7,4]=>[1,5,2,6,7,4,3]=>[7,3,6,2,1,4,5]=>000000
[6,3,7,1,4,2,5]=>[1,6,2,3,7,5,4]=>[1,6,2,5,7,3,4]=>[7,2,6,3,1,5,4]=>000000
[6,3,7,1,4,5,2]=>[1,6,5,4,2,3,7]=>[1,4,2,5,6,3,7]=>[7,4,6,3,2,5,1]=>000000
[6,3,7,1,5,2,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>000000
[6,3,7,1,5,4,2]=>[1,6,4,2,3,7,5]=>[1,4,2,6,7,3,5]=>[7,4,6,2,1,5,3]=>000000
[6,3,7,2,1,4,5]=>[1,6,4,2,3,7,5]=>[1,4,2,6,7,3,5]=>[7,4,6,2,1,5,3]=>000000
[6,3,7,2,1,5,4]=>[1,6,5,2,3,7,4]=>[1,5,2,6,7,4,3]=>[7,3,6,2,1,4,5]=>000000
[6,3,7,2,4,1,5]=>[1,6,2,3,7,5,4]=>[1,6,2,5,7,3,4]=>[7,2,6,3,1,5,4]=>000000
[6,3,7,2,4,5,1]=>[1,6,5,4,2,3,7]=>[1,4,2,5,6,3,7]=>[7,4,6,3,2,5,1]=>000000
[6,3,7,2,5,1,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>000000
[6,3,7,2,5,4,1]=>[1,6,4,2,3,7,5]=>[1,4,2,6,7,3,5]=>[7,4,6,2,1,5,3]=>000000
[6,3,7,4,1,2,5]=>[1,6,2,3,7,5,4]=>[1,6,2,5,7,3,4]=>[7,2,6,3,1,5,4]=>000000
[6,3,7,4,1,5,2]=>[1,6,5,2,3,7,4]=>[1,5,2,6,7,4,3]=>[7,3,6,2,1,4,5]=>000000
[6,3,7,4,2,1,5]=>[1,6,2,3,7,5,4]=>[1,6,2,5,7,3,4]=>[7,2,6,3,1,5,4]=>000000
[6,3,7,4,2,5,1]=>[1,6,5,2,3,7,4]=>[1,5,2,6,7,4,3]=>[7,3,6,2,1,4,5]=>000000
[6,3,7,4,5,1,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>000000
[6,3,7,4,5,2,1]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>000000
[6,3,7,5,1,2,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>000000
[6,3,7,5,1,4,2]=>[1,6,4,5,2,3,7]=>[1,5,2,6,4,3,7]=>[7,3,6,2,4,5,1]=>000000
[6,3,7,5,2,1,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>000000
[6,3,7,5,2,4,1]=>[1,6,4,5,2,3,7]=>[1,5,2,6,4,3,7]=>[7,3,6,2,4,5,1]=>000000
[6,3,7,5,4,1,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>000000
[6,3,7,5,4,2,1]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>000000
[6,4,1,2,3,5,7]=>[1,6,5,3,2,4,7]=>[1,3,5,2,6,4,7]=>[7,5,3,6,2,4,1]=>000000
[6,4,1,2,3,7,5]=>[1,6,7,5,3,2,4]=>[1,3,5,2,7,6,4]=>[7,5,3,6,1,2,4]=>000000
[6,4,1,2,5,3,7]=>[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>000000
[6,4,1,2,5,7,3]=>[1,6,7,3,2,4,5]=>[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>000000
[6,4,1,2,7,3,5]=>[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>000000
[6,4,1,2,7,5,3]=>[1,6,5,7,3,2,4]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>000000
[6,4,1,3,2,5,7]=>[1,6,5,2,4,3,7]=>[1,5,4,2,6,3,7]=>[7,3,4,6,2,5,1]=>000000
[6,4,1,3,2,7,5]=>[1,6,7,5,2,4,3]=>[1,5,4,2,7,6,3]=>[7,3,4,6,1,2,5]=>000000
[6,4,1,3,5,2,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>000000
[6,4,1,3,5,7,2]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>000000
[6,4,1,3,7,2,5]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>000000
[6,4,1,3,7,5,2]=>[1,6,5,7,2,4,3]=>[1,7,4,2,6,5,3]=>[7,1,4,6,2,3,5]=>000000
[6,4,1,5,2,3,7]=>[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>000000
[6,4,1,5,2,7,3]=>[1,6,7,3,2,4,5]=>[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>000000
[6,4,1,5,3,2,7]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>000000
[6,4,1,5,3,7,2]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>[7,1,3,6,4,2,5]=>000000
[6,4,1,5,7,2,3]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>[7,2,1,6,4,3,5]=>000000
[6,4,1,5,7,3,2]=>[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>000000
[6,4,1,7,2,3,5]=>[1,6,3,2,4,7,5]=>[1,3,6,2,7,4,5]=>[7,5,2,6,1,4,3]=>000000
[6,4,1,7,2,5,3]=>[1,6,5,2,4,7,3]=>[1,5,6,3,7,4,2]=>[7,3,2,5,1,4,6]=>000000
[6,4,1,7,3,2,5]=>[1,6,2,4,7,5,3]=>[1,6,5,2,7,4,3]=>[7,2,3,6,1,4,5]=>000000
[6,4,1,7,3,5,2]=>[1,6,5,3,2,4,7]=>[1,3,5,2,6,4,7]=>[7,5,3,6,2,4,1]=>000000
[6,4,1,7,5,2,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[7,2,1,6,5,4,3]=>000000
[6,4,1,7,5,3,2]=>[1,6,3,2,4,7,5]=>[1,3,6,2,7,4,5]=>[7,5,2,6,1,4,3]=>000000
[6,4,2,1,3,5,7]=>[1,6,5,3,2,4,7]=>[1,3,5,2,6,4,7]=>[7,5,3,6,2,4,1]=>000000
[6,4,2,1,3,7,5]=>[1,6,7,5,3,2,4]=>[1,3,5,2,7,6,4]=>[7,5,3,6,1,2,4]=>000000
[6,4,2,1,5,3,7]=>[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>000000
[6,4,2,1,5,7,3]=>[1,6,7,3,2,4,5]=>[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>000000
[6,4,2,1,7,3,5]=>[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>000000
[6,4,2,1,7,5,3]=>[1,6,5,7,3,2,4]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>000000
[6,4,2,3,1,5,7]=>[1,6,5,2,4,3,7]=>[1,5,4,2,6,3,7]=>[7,3,4,6,2,5,1]=>000000
[6,4,2,3,1,7,5]=>[1,6,7,5,2,4,3]=>[1,5,4,2,7,6,3]=>[7,3,4,6,1,2,5]=>000000
[6,4,2,3,5,1,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>000000
[6,4,2,3,5,7,1]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>000000
[6,4,2,3,7,1,5]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>000000
[6,4,2,3,7,5,1]=>[1,6,5,7,2,4,3]=>[1,7,4,2,6,5,3]=>[7,1,4,6,2,3,5]=>000000
[6,4,2,5,1,3,7]=>[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>000000
[6,4,2,5,1,7,3]=>[1,6,7,3,2,4,5]=>[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>000000
[6,4,2,5,3,1,7]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>000000
[6,4,2,5,3,7,1]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>[7,1,3,6,4,2,5]=>000000
[6,4,2,5,7,1,3]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>[7,2,1,6,4,3,5]=>000000
[6,4,2,5,7,3,1]=>[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>000000
[6,4,2,7,1,3,5]=>[1,6,3,2,4,7,5]=>[1,3,6,2,7,4,5]=>[7,5,2,6,1,4,3]=>000000
[6,4,2,7,1,5,3]=>[1,6,5,2,4,7,3]=>[1,5,6,3,7,4,2]=>[7,3,2,5,1,4,6]=>000000
[6,4,2,7,3,1,5]=>[1,6,2,4,7,5,3]=>[1,6,5,2,7,4,3]=>[7,2,3,6,1,4,5]=>000000
[6,4,2,7,3,5,1]=>[1,6,5,3,2,4,7]=>[1,3,5,2,6,4,7]=>[7,5,3,6,2,4,1]=>000000
[6,4,2,7,5,1,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[7,2,1,6,5,4,3]=>000000
[6,4,2,7,5,3,1]=>[1,6,3,2,4,7,5]=>[1,3,6,2,7,4,5]=>[7,5,2,6,1,4,3]=>000000
[6,4,3,1,2,5,7]=>[1,6,5,2,4,3,7]=>[1,5,4,2,6,3,7]=>[7,3,4,6,2,5,1]=>000000
[6,4,3,1,2,7,5]=>[1,6,7,5,2,4,3]=>[1,5,4,2,7,6,3]=>[7,3,4,6,1,2,5]=>000000
[6,4,3,1,5,2,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>000000
[6,4,3,1,5,7,2]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>000000
[6,4,3,1,7,2,5]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>000000
[6,4,3,1,7,5,2]=>[1,6,5,7,2,4,3]=>[1,7,4,2,6,5,3]=>[7,1,4,6,2,3,5]=>000000
[6,4,3,2,1,5,7]=>[1,6,5,2,4,3,7]=>[1,5,4,2,6,3,7]=>[7,3,4,6,2,5,1]=>000000
[6,4,3,2,1,7,5]=>[1,6,7,5,2,4,3]=>[1,5,4,2,7,6,3]=>[7,3,4,6,1,2,5]=>000000
[6,4,3,2,5,1,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>000000
[6,4,3,2,5,7,1]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>000000
[6,4,3,2,7,1,5]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>000000
[6,4,3,2,7,5,1]=>[1,6,5,7,2,4,3]=>[1,7,4,2,6,5,3]=>[7,1,4,6,2,3,5]=>000000
[6,4,3,5,1,2,7]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>000000
[6,4,3,5,1,7,2]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>[7,1,3,6,4,2,5]=>000000
[6,4,3,5,2,1,7]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>000000
[6,4,3,5,2,7,1]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>[7,1,3,6,4,2,5]=>000000
[6,4,3,5,7,1,2]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>[7,2,1,6,4,3,5]=>000000
[6,4,3,5,7,2,1]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>[7,2,1,6,4,3,5]=>000000
[6,4,3,7,1,2,5]=>[1,6,2,4,7,5,3]=>[1,6,5,2,7,4,3]=>[7,2,3,6,1,4,5]=>000000
[6,4,3,7,1,5,2]=>[1,6,5,2,4,7,3]=>[1,5,6,3,7,4,2]=>[7,3,2,5,1,4,6]=>000000
[6,4,3,7,2,1,5]=>[1,6,2,4,7,5,3]=>[1,6,5,2,7,4,3]=>[7,2,3,6,1,4,5]=>000000
[6,4,3,7,2,5,1]=>[1,6,5,2,4,7,3]=>[1,5,6,3,7,4,2]=>[7,3,2,5,1,4,6]=>000000
[6,4,3,7,5,1,2]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[7,2,1,6,5,4,3]=>000000
[6,4,3,7,5,2,1]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[7,2,1,6,5,4,3]=>000000
[6,4,5,1,2,3,7]=>[1,6,3,5,2,4,7]=>[1,5,6,2,3,4,7]=>[7,3,2,6,5,4,1]=>000000
[6,4,5,1,2,7,3]=>[1,6,7,3,5,2,4]=>[1,5,7,2,3,6,4]=>[7,3,1,6,5,2,4]=>000000
[6,4,5,1,3,2,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>000000
[6,4,5,1,3,7,2]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>000000
[6,4,5,1,7,2,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>000000
[6,4,5,1,7,3,2]=>[1,6,3,5,7,2,4]=>[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>000000
[6,4,5,2,1,3,7]=>[1,6,3,5,2,4,7]=>[1,5,6,2,3,4,7]=>[7,3,2,6,5,4,1]=>000000
[6,4,5,2,1,7,3]=>[1,6,7,3,5,2,4]=>[1,5,7,2,3,6,4]=>[7,3,1,6,5,2,4]=>000000
[6,4,5,2,3,1,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>000000
[6,4,5,2,3,7,1]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>000000
[6,4,5,2,7,1,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>000000
[6,4,5,2,7,3,1]=>[1,6,3,5,7,2,4]=>[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>000000
[6,4,5,3,1,2,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>000000
[6,4,5,3,1,7,2]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>000000
[6,4,5,3,2,1,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>000000
[6,4,5,3,2,7,1]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>000000
[6,4,5,3,7,1,2]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>000000
[6,4,5,3,7,2,1]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>000000
[6,4,5,7,1,2,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[7,2,1,6,5,4,3]=>000000
[6,4,5,7,1,3,2]=>[1,6,3,5,2,4,7]=>[1,5,6,2,3,4,7]=>[7,3,2,6,5,4,1]=>000000
[6,4,5,7,2,1,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[7,2,1,6,5,4,3]=>000000
[6,4,5,7,2,3,1]=>[1,6,3,5,2,4,7]=>[1,5,6,2,3,4,7]=>[7,3,2,6,5,4,1]=>000000
[6,4,5,7,3,1,2]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[7,2,1,6,5,4,3]=>000000
[6,4,5,7,3,2,1]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>[7,2,1,6,5,4,3]=>000000
[6,4,7,1,2,3,5]=>[1,6,3,7,5,2,4]=>[1,5,7,3,6,2,4]=>[7,3,1,5,2,6,4]=>000000
[6,4,7,1,2,5,3]=>[1,6,5,2,4,3,7]=>[1,5,4,2,6,3,7]=>[7,3,4,6,2,5,1]=>000000
[6,4,7,1,3,2,5]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[7,2,4,6,1,5,3]=>000000
[6,4,7,1,3,5,2]=>[1,6,5,3,7,2,4]=>[1,7,5,2,6,3,4]=>[7,1,3,6,2,5,4]=>000000
[6,4,7,1,5,2,3]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[7,2,4,6,1,5,3]=>000000
[6,4,7,1,5,3,2]=>[1,6,3,7,2,4,5]=>[1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>000000
[6,4,7,2,1,3,5]=>[1,6,3,7,5,2,4]=>[1,5,7,3,6,2,4]=>[7,3,1,5,2,6,4]=>000000
[6,4,7,2,1,5,3]=>[1,6,5,2,4,3,7]=>[1,5,4,2,6,3,7]=>[7,3,4,6,2,5,1]=>000000
[6,4,7,2,3,1,5]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[7,2,4,6,1,5,3]=>000000
[6,4,7,2,3,5,1]=>[1,6,5,3,7,2,4]=>[1,7,5,2,6,3,4]=>[7,1,3,6,2,5,4]=>000000
[6,4,7,2,5,1,3]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[7,2,4,6,1,5,3]=>000000
[6,4,7,2,5,3,1]=>[1,6,3,7,2,4,5]=>[1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>000000
[6,4,7,3,1,2,5]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[7,2,4,6,1,5,3]=>000000
[6,4,7,3,1,5,2]=>[1,6,5,2,4,3,7]=>[1,5,4,2,6,3,7]=>[7,3,4,6,2,5,1]=>000000
[6,4,7,3,2,1,5]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[7,2,4,6,1,5,3]=>000000
[6,4,7,3,2,5,1]=>[1,6,5,2,4,3,7]=>[1,5,4,2,6,3,7]=>[7,3,4,6,2,5,1]=>000000
[6,4,7,3,5,1,2]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[7,2,4,6,1,5,3]=>000000
[6,4,7,3,5,2,1]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[7,2,4,6,1,5,3]=>000000
[6,4,7,5,1,2,3]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>000000
[6,4,7,5,1,3,2]=>[1,6,3,7,2,4,5]=>[1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>000000
[6,4,7,5,2,1,3]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>000000
[6,4,7,5,2,3,1]=>[1,6,3,7,2,4,5]=>[1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>000000
[6,4,7,5,3,1,2]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>000000
[6,4,7,5,3,2,1]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>000000
[6,5,1,2,3,4,7]=>[1,6,4,2,5,3,7]=>[1,4,6,5,3,2,7]=>[7,4,2,3,5,6,1]=>000000
[6,5,1,2,3,7,4]=>[1,6,7,4,2,5,3]=>[1,4,7,5,3,6,2]=>[7,4,1,3,5,2,6]=>000000
[6,5,1,2,4,3,7]=>[1,6,3,2,5,4,7]=>[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>000000
[6,5,1,2,4,7,3]=>[1,6,7,3,2,5,4]=>[1,3,7,5,2,6,4]=>[7,5,1,3,6,2,4]=>000000
[6,5,1,2,7,3,4]=>[1,6,3,2,5,7,4]=>[1,3,6,7,2,5,4]=>[7,5,2,1,6,3,4]=>000000
[6,5,1,2,7,4,3]=>[1,6,4,2,5,7,3]=>[1,4,6,7,3,5,2]=>[7,4,2,1,5,3,6]=>000000
[6,5,1,3,2,4,7]=>[1,6,4,3,2,5,7]=>[1,3,4,6,2,5,7]=>[7,5,4,2,6,3,1]=>000000
[6,5,1,3,2,7,4]=>[1,6,7,4,3,2,5]=>[1,3,4,7,2,6,5]=>[7,5,4,1,6,2,3]=>000000
[6,5,1,3,4,2,7]=>[1,6,2,5,4,3,7]=>[1,6,4,5,2,3,7]=>[7,2,4,3,6,5,1]=>000000
[6,5,1,3,4,7,2]=>[1,6,7,2,5,4,3]=>[1,7,4,5,2,6,3]=>[7,1,4,3,6,2,5]=>000000
[6,5,1,3,7,2,4]=>[1,6,2,5,7,4,3]=>[1,6,4,7,2,5,3]=>[7,2,4,1,6,3,5]=>000000
[6,5,1,3,7,4,2]=>[1,6,4,3,2,5,7]=>[1,3,4,6,2,5,7]=>[7,5,4,2,6,3,1]=>000000
[6,5,1,4,2,3,7]=>[1,6,3,2,5,4,7]=>[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>000000
[6,5,1,4,2,7,3]=>[1,6,7,3,2,5,4]=>[1,3,7,5,2,6,4]=>[7,5,1,3,6,2,4]=>000000
[6,5,1,4,3,2,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>000000
[6,5,1,4,3,7,2]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[7,1,3,5,6,2,4]=>000000
[6,5,1,4,7,2,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[7,2,1,5,6,3,4]=>000000
[6,5,1,4,7,3,2]=>[1,6,3,2,5,7,4]=>[1,3,6,7,2,5,4]=>[7,5,2,1,6,3,4]=>000000
[6,5,1,7,2,3,4]=>[1,6,3,2,5,4,7]=>[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>000000
[6,5,1,7,2,4,3]=>[1,6,4,7,3,2,5]=>[1,3,7,6,2,4,5]=>[7,5,1,2,6,4,3]=>000000
[6,5,1,7,3,2,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>000000
[6,5,1,7,3,4,2]=>[1,6,4,7,2,5,3]=>[1,7,5,6,2,4,3]=>[7,1,3,2,6,4,5]=>000000
[6,5,1,7,4,2,3]=>[1,6,2,5,4,7,3]=>[1,6,7,5,2,4,3]=>[7,2,1,3,6,4,5]=>000000
[6,5,1,7,4,3,2]=>[1,6,3,2,5,4,7]=>[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>000000
[6,5,2,1,3,4,7]=>[1,6,4,2,5,3,7]=>[1,4,6,5,3,2,7]=>[7,4,2,3,5,6,1]=>000000
[6,5,2,1,3,7,4]=>[1,6,7,4,2,5,3]=>[1,4,7,5,3,6,2]=>[7,4,1,3,5,2,6]=>000000
[6,5,2,1,4,3,7]=>[1,6,3,2,5,4,7]=>[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>000000
[6,5,2,1,4,7,3]=>[1,6,7,3,2,5,4]=>[1,3,7,5,2,6,4]=>[7,5,1,3,6,2,4]=>000000
[6,5,2,1,7,3,4]=>[1,6,3,2,5,7,4]=>[1,3,6,7,2,5,4]=>[7,5,2,1,6,3,4]=>000000
[6,5,2,1,7,4,3]=>[1,6,4,2,5,7,3]=>[1,4,6,7,3,5,2]=>[7,4,2,1,5,3,6]=>000000
[6,5,2,3,1,4,7]=>[1,6,4,3,2,5,7]=>[1,3,4,6,2,5,7]=>[7,5,4,2,6,3,1]=>000000
[6,5,2,3,1,7,4]=>[1,6,7,4,3,2,5]=>[1,3,4,7,2,6,5]=>[7,5,4,1,6,2,3]=>000000
[6,5,2,3,4,1,7]=>[1,6,2,5,4,3,7]=>[1,6,4,5,2,3,7]=>[7,2,4,3,6,5,1]=>000000
[6,5,2,3,4,7,1]=>[1,6,7,2,5,4,3]=>[1,7,4,5,2,6,3]=>[7,1,4,3,6,2,5]=>000000
[6,5,2,3,7,1,4]=>[1,6,2,5,7,4,3]=>[1,6,4,7,2,5,3]=>[7,2,4,1,6,3,5]=>000000
[6,5,2,3,7,4,1]=>[1,6,4,3,2,5,7]=>[1,3,4,6,2,5,7]=>[7,5,4,2,6,3,1]=>000000
[6,5,2,4,1,3,7]=>[1,6,3,2,5,4,7]=>[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>000000
[6,5,2,4,1,7,3]=>[1,6,7,3,2,5,4]=>[1,3,7,5,2,6,4]=>[7,5,1,3,6,2,4]=>000000
[6,5,2,4,3,1,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>000000
[6,5,2,4,3,7,1]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[7,1,3,5,6,2,4]=>000000
[6,5,2,4,7,1,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[7,2,1,5,6,3,4]=>000000
[6,5,2,4,7,3,1]=>[1,6,3,2,5,7,4]=>[1,3,6,7,2,5,4]=>[7,5,2,1,6,3,4]=>000000
[6,5,2,7,1,3,4]=>[1,6,3,2,5,4,7]=>[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>000000
[6,5,2,7,1,4,3]=>[1,6,4,7,3,2,5]=>[1,3,7,6,2,4,5]=>[7,5,1,2,6,4,3]=>000000
[6,5,2,7,3,1,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>000000
[6,5,2,7,3,4,1]=>[1,6,4,7,2,5,3]=>[1,7,5,6,2,4,3]=>[7,1,3,2,6,4,5]=>000000
[6,5,2,7,4,1,3]=>[1,6,2,5,4,7,3]=>[1,6,7,5,2,4,3]=>[7,2,1,3,6,4,5]=>000000
[6,5,2,7,4,3,1]=>[1,6,3,2,5,4,7]=>[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>000000
[6,5,3,1,2,4,7]=>[1,6,4,2,5,3,7]=>[1,4,6,5,3,2,7]=>[7,4,2,3,5,6,1]=>000000
[6,5,3,1,2,7,4]=>[1,6,7,4,2,5,3]=>[1,4,7,5,3,6,2]=>[7,4,1,3,5,2,6]=>000000
[6,5,3,1,4,2,7]=>[1,6,2,5,4,3,7]=>[1,6,4,5,2,3,7]=>[7,2,4,3,6,5,1]=>000000
[6,5,3,1,4,7,2]=>[1,6,7,2,5,4,3]=>[1,7,4,5,2,6,3]=>[7,1,4,3,6,2,5]=>000000
[6,5,3,1,7,2,4]=>[1,6,2,5,7,4,3]=>[1,6,4,7,2,5,3]=>[7,2,4,1,6,3,5]=>000000
[6,5,3,1,7,4,2]=>[1,6,4,2,5,7,3]=>[1,4,6,7,3,5,2]=>[7,4,2,1,5,3,6]=>000000
[6,5,3,2,1,4,7]=>[1,6,4,2,5,3,7]=>[1,4,6,5,3,2,7]=>[7,4,2,3,5,6,1]=>000000
[6,5,3,2,1,7,4]=>[1,6,7,4,2,5,3]=>[1,4,7,5,3,6,2]=>[7,4,1,3,5,2,6]=>000000
[6,5,3,2,4,1,7]=>[1,6,2,5,4,3,7]=>[1,6,4,5,2,3,7]=>[7,2,4,3,6,5,1]=>000000
[6,5,3,2,4,7,1]=>[1,6,7,2,5,4,3]=>[1,7,4,5,2,6,3]=>[7,1,4,3,6,2,5]=>000000
[6,5,3,2,7,1,4]=>[1,6,2,5,7,4,3]=>[1,6,4,7,2,5,3]=>[7,2,4,1,6,3,5]=>000000
[6,5,3,2,7,4,1]=>[1,6,4,2,5,7,3]=>[1,4,6,7,3,5,2]=>[7,4,2,1,5,3,6]=>000000
[6,5,3,4,1,2,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>000000
[6,5,3,4,1,7,2]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[7,1,3,5,6,2,4]=>000000
[6,5,3,4,2,1,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>000000
[6,5,3,4,2,7,1]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[7,1,3,5,6,2,4]=>000000
[6,5,3,4,7,1,2]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[7,2,1,5,6,3,4]=>000000
[6,5,3,4,7,2,1]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[7,2,1,5,6,3,4]=>000000
[6,5,3,7,1,2,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>000000
[6,5,3,7,1,4,2]=>[1,6,4,7,2,5,3]=>[1,7,5,6,2,4,3]=>[7,1,3,2,6,4,5]=>000000
[6,5,3,7,2,1,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>000000
[6,5,3,7,2,4,1]=>[1,6,4,7,2,5,3]=>[1,7,5,6,2,4,3]=>[7,1,3,2,6,4,5]=>000000
[6,5,3,7,4,1,2]=>[1,6,2,5,4,7,3]=>[1,6,7,5,2,4,3]=>[7,2,1,3,6,4,5]=>000000
[6,5,3,7,4,2,1]=>[1,6,2,5,4,7,3]=>[1,6,7,5,2,4,3]=>[7,2,1,3,6,4,5]=>000000
[6,5,4,1,2,3,7]=>[1,6,3,4,2,5,7]=>[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>000000
[6,5,4,1,2,7,3]=>[1,6,7,3,4,2,5]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>000000
[6,5,4,1,3,2,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>000000
[6,5,4,1,3,7,2]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[7,1,3,5,6,2,4]=>000000
[6,5,4,1,7,2,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[7,2,1,5,6,3,4]=>000000
[6,5,4,1,7,3,2]=>[1,6,3,4,2,5,7]=>[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>000000
[6,5,4,2,1,3,7]=>[1,6,3,4,2,5,7]=>[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>000000
[6,5,4,2,1,7,3]=>[1,6,7,3,4,2,5]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>000000
[6,5,4,2,3,1,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>000000
[6,5,4,2,3,7,1]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[7,1,3,5,6,2,4]=>000000
[6,5,4,2,7,1,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[7,2,1,5,6,3,4]=>000000
[6,5,4,2,7,3,1]=>[1,6,3,4,2,5,7]=>[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>000000
[6,5,4,3,1,2,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>000000
[6,5,4,3,1,7,2]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[7,1,3,5,6,2,4]=>000000
[6,5,4,3,2,1,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>000000
[6,5,4,3,2,7,1]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[7,1,3,5,6,2,4]=>000000
[6,5,4,3,7,1,2]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[7,2,1,5,6,3,4]=>000000
[6,5,4,3,7,2,1]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[7,2,1,5,6,3,4]=>000000
[6,5,4,7,1,2,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>000000
[6,5,4,7,1,3,2]=>[1,6,3,4,7,2,5]=>[1,7,6,3,2,4,5]=>[7,1,2,5,6,4,3]=>000000
[6,5,4,7,2,1,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>000000
[6,5,4,7,2,3,1]=>[1,6,3,4,7,2,5]=>[1,7,6,3,2,4,5]=>[7,1,2,5,6,4,3]=>000000
[6,5,4,7,3,1,2]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>000000
[6,5,4,7,3,2,1]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>000000
[6,5,7,1,2,3,4]=>[1,6,3,7,4,2,5]=>[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>000000
[6,5,7,1,2,4,3]=>[1,6,4,2,5,3,7]=>[1,4,6,5,3,2,7]=>[7,4,2,3,5,6,1]=>000000
[6,5,7,1,3,2,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[7,2,3,1,6,5,4]=>000000
[6,5,7,1,3,4,2]=>[1,6,4,2,5,3,7]=>[1,4,6,5,3,2,7]=>[7,4,2,3,5,6,1]=>000000
[6,5,7,1,4,2,3]=>[1,6,2,5,4,3,7]=>[1,6,4,5,2,3,7]=>[7,2,4,3,6,5,1]=>000000
[6,5,7,1,4,3,2]=>[1,6,3,7,2,5,4]=>[1,7,6,5,2,3,4]=>[7,1,2,3,6,5,4]=>000000
[6,5,7,2,1,3,4]=>[1,6,3,7,4,2,5]=>[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>000000
[6,5,7,2,1,4,3]=>[1,6,4,2,5,3,7]=>[1,4,6,5,3,2,7]=>[7,4,2,3,5,6,1]=>000000
[6,5,7,2,3,1,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[7,2,3,1,6,5,4]=>000000
[6,5,7,2,3,4,1]=>[1,6,4,2,5,3,7]=>[1,4,6,5,3,2,7]=>[7,4,2,3,5,6,1]=>000000
[6,5,7,2,4,1,3]=>[1,6,2,5,4,3,7]=>[1,6,4,5,2,3,7]=>[7,2,4,3,6,5,1]=>000000
[6,5,7,2,4,3,1]=>[1,6,3,7,2,5,4]=>[1,7,6,5,2,3,4]=>[7,1,2,3,6,5,4]=>000000
[6,5,7,3,1,2,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[7,2,3,1,6,5,4]=>000000
[6,5,7,3,1,4,2]=>[1,6,4,3,7,2,5]=>[1,7,4,6,2,3,5]=>[7,1,4,2,6,5,3]=>000000
[6,5,7,3,2,1,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[7,2,3,1,6,5,4]=>000000
[6,5,7,3,2,4,1]=>[1,6,4,3,7,2,5]=>[1,7,4,6,2,3,5]=>[7,1,4,2,6,5,3]=>000000
[6,5,7,3,4,1,2]=>[1,6,2,5,4,3,7]=>[1,6,4,5,2,3,7]=>[7,2,4,3,6,5,1]=>000000
[6,5,7,3,4,2,1]=>[1,6,2,5,4,3,7]=>[1,6,4,5,2,3,7]=>[7,2,4,3,6,5,1]=>000000
[6,5,7,4,1,2,3]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[7,2,3,1,6,5,4]=>000000
[6,5,7,4,1,3,2]=>[1,6,3,7,2,5,4]=>[1,7,6,5,2,3,4]=>[7,1,2,3,6,5,4]=>000000
[6,5,7,4,2,1,3]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[7,2,3,1,6,5,4]=>000000
[6,5,7,4,2,3,1]=>[1,6,3,7,2,5,4]=>[1,7,6,5,2,3,4]=>[7,1,2,3,6,5,4]=>000000
[6,5,7,4,3,1,2]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[7,2,3,1,6,5,4]=>000000
[6,5,7,4,3,2,1]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[7,2,3,1,6,5,4]=>000000
[6,7,1,2,3,4,5]=>[1,6,4,2,7,5,3]=>[1,4,6,5,7,3,2]=>[7,4,2,3,1,5,6]=>000000
[6,7,1,2,3,5,4]=>[1,6,5,3,2,7,4]=>[1,3,5,6,7,4,2]=>[7,5,3,2,1,4,6]=>000000
[6,7,1,2,4,3,5]=>[1,6,3,2,7,5,4]=>[1,3,6,5,7,2,4]=>[7,5,2,3,1,6,4]=>000000
[6,7,1,2,4,5,3]=>[1,6,5,4,2,7,3]=>[1,4,5,6,7,2,3]=>[7,4,3,2,1,6,5]=>000000
[6,7,1,2,5,3,4]=>[1,6,3,2,7,4,5]=>[1,3,6,7,4,2,5]=>[7,5,2,1,4,6,3]=>000000
[6,7,1,2,5,4,3]=>[1,6,4,2,7,3,5]=>[1,4,6,7,2,3,5]=>[7,4,2,1,6,5,3]=>000000
[6,7,1,3,2,4,5]=>[1,6,4,3,2,7,5]=>[1,3,4,6,7,2,5]=>[7,5,4,2,1,6,3]=>000000
[6,7,1,3,2,5,4]=>[1,6,5,2,7,4,3]=>[1,5,4,6,7,3,2]=>[7,3,4,2,1,5,6]=>000000
[6,7,1,3,4,2,5]=>[1,6,2,7,5,4,3]=>[1,6,4,5,7,2,3]=>[7,2,4,3,1,6,5]=>000000
[6,7,1,3,4,5,2]=>[1,6,5,4,3,2,7]=>[1,3,4,5,6,2,7]=>[7,5,4,3,2,6,1]=>000000
[6,7,1,3,5,2,4]=>[1,6,2,7,4,3,5]=>[1,6,4,7,3,2,5]=>[7,2,4,1,5,6,3]=>000000
[6,7,1,3,5,4,2]=>[1,6,4,3,2,7,5]=>[1,3,4,6,7,2,5]=>[7,5,4,2,1,6,3]=>000000
[6,7,1,4,2,3,5]=>[1,6,3,2,7,5,4]=>[1,3,6,5,7,2,4]=>[7,5,2,3,1,6,4]=>000000
[6,7,1,4,2,5,3]=>[1,6,5,2,7,3,4]=>[1,5,6,2,7,3,4]=>[7,3,2,6,1,5,4]=>000000
[6,7,1,4,3,2,5]=>[1,6,2,7,5,3,4]=>[1,6,5,3,7,2,4]=>[7,2,3,5,1,6,4]=>000000
[6,7,1,4,3,5,2]=>[1,6,5,3,2,7,4]=>[1,3,5,6,7,4,2]=>[7,5,3,2,1,4,6]=>000000
[6,7,1,4,5,2,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>000000
[6,7,1,4,5,3,2]=>[1,6,3,2,7,4,5]=>[1,3,6,7,4,2,5]=>[7,5,2,1,4,6,3]=>000000
[6,7,1,5,2,3,4]=>[1,6,3,2,7,4,5]=>[1,3,6,7,4,2,5]=>[7,5,2,1,4,6,3]=>000000
[6,7,1,5,2,4,3]=>[1,6,4,5,2,7,3]=>[1,5,7,6,4,2,3]=>[7,3,1,2,4,6,5]=>000000
[6,7,1,5,3,2,4]=>[1,6,2,7,4,5,3]=>[1,6,5,7,4,2,3]=>[7,2,3,1,4,6,5]=>000000
[6,7,1,5,3,4,2]=>[1,6,4,5,3,2,7]=>[1,3,5,6,4,2,7]=>[7,5,3,2,4,6,1]=>000000
[6,7,1,5,4,2,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>000000
[6,7,1,5,4,3,2]=>[1,6,3,2,7,4,5]=>[1,3,6,7,4,2,5]=>[7,5,2,1,4,6,3]=>000000
[6,7,2,1,3,4,5]=>[1,6,4,2,7,5,3]=>[1,4,6,5,7,3,2]=>[7,4,2,3,1,5,6]=>000000
[6,7,2,1,3,5,4]=>[1,6,5,3,2,7,4]=>[1,3,5,6,7,4,2]=>[7,5,3,2,1,4,6]=>000000
[6,7,2,1,4,3,5]=>[1,6,3,2,7,5,4]=>[1,3,6,5,7,2,4]=>[7,5,2,3,1,6,4]=>000000
[6,7,2,1,4,5,3]=>[1,6,5,4,2,7,3]=>[1,4,5,6,7,2,3]=>[7,4,3,2,1,6,5]=>000000
[6,7,2,1,5,3,4]=>[1,6,3,2,7,4,5]=>[1,3,6,7,4,2,5]=>[7,5,2,1,4,6,3]=>000000
[6,7,2,1,5,4,3]=>[1,6,4,2,7,3,5]=>[1,4,6,7,2,3,5]=>[7,4,2,1,6,5,3]=>000000
[6,7,2,3,1,4,5]=>[1,6,4,3,2,7,5]=>[1,3,4,6,7,2,5]=>[7,5,4,2,1,6,3]=>000000
[6,7,2,3,1,5,4]=>[1,6,5,2,7,4,3]=>[1,5,4,6,7,3,2]=>[7,3,4,2,1,5,6]=>000000
[6,7,2,3,4,1,5]=>[1,6,2,7,5,4,3]=>[1,6,4,5,7,2,3]=>[7,2,4,3,1,6,5]=>000000
[6,7,2,3,4,5,1]=>[1,6,5,4,3,2,7]=>[1,3,4,5,6,2,7]=>[7,5,4,3,2,6,1]=>000000
[6,7,2,3,5,1,4]=>[1,6,2,7,4,3,5]=>[1,6,4,7,3,2,5]=>[7,2,4,1,5,6,3]=>000000
[6,7,2,3,5,4,1]=>[1,6,4,3,2,7,5]=>[1,3,4,6,7,2,5]=>[7,5,4,2,1,6,3]=>000000
[6,7,2,4,1,3,5]=>[1,6,3,2,7,5,4]=>[1,3,6,5,7,2,4]=>[7,5,2,3,1,6,4]=>000000
[6,7,2,4,1,5,3]=>[1,6,5,2,7,3,4]=>[1,5,6,2,7,3,4]=>[7,3,2,6,1,5,4]=>000000
[6,7,2,4,3,1,5]=>[1,6,2,7,5,3,4]=>[1,6,5,3,7,2,4]=>[7,2,3,5,1,6,4]=>000000
[6,7,2,4,3,5,1]=>[1,6,5,3,2,7,4]=>[1,3,5,6,7,4,2]=>[7,5,3,2,1,4,6]=>000000
[6,7,2,4,5,1,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>000000
[6,7,2,4,5,3,1]=>[1,6,3,2,7,4,5]=>[1,3,6,7,4,2,5]=>[7,5,2,1,4,6,3]=>000000
[6,7,2,5,1,3,4]=>[1,6,3,2,7,4,5]=>[1,3,6,7,4,2,5]=>[7,5,2,1,4,6,3]=>000000
[6,7,2,5,1,4,3]=>[1,6,4,5,2,7,3]=>[1,5,7,6,4,2,3]=>[7,3,1,2,4,6,5]=>000000
[6,7,2,5,3,1,4]=>[1,6,2,7,4,5,3]=>[1,6,5,7,4,2,3]=>[7,2,3,1,4,6,5]=>000000
[6,7,2,5,3,4,1]=>[1,6,4,5,3,2,7]=>[1,3,5,6,4,2,7]=>[7,5,3,2,4,6,1]=>000000
[6,7,2,5,4,1,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>000000
[6,7,2,5,4,3,1]=>[1,6,3,2,7,4,5]=>[1,3,6,7,4,2,5]=>[7,5,2,1,4,6,3]=>000000
[6,7,3,1,2,4,5]=>[1,6,4,2,7,5,3]=>[1,4,6,5,7,3,2]=>[7,4,2,3,1,5,6]=>000000
[6,7,3,1,2,5,4]=>[1,6,5,2,7,4,3]=>[1,5,4,6,7,3,2]=>[7,3,4,2,1,5,6]=>000000
[6,7,3,1,4,2,5]=>[1,6,2,7,5,4,3]=>[1,6,4,5,7,2,3]=>[7,2,4,3,1,6,5]=>000000
[6,7,3,1,4,5,2]=>[1,6,5,4,2,7,3]=>[1,4,5,6,7,2,3]=>[7,4,3,2,1,6,5]=>000000
[6,7,3,1,5,2,4]=>[1,6,2,7,4,3,5]=>[1,6,4,7,3,2,5]=>[7,2,4,1,5,6,3]=>000000
[6,7,3,1,5,4,2]=>[1,6,4,2,7,3,5]=>[1,4,6,7,2,3,5]=>[7,4,2,1,6,5,3]=>000000
[6,7,3,2,1,4,5]=>[1,6,4,2,7,5,3]=>[1,4,6,5,7,3,2]=>[7,4,2,3,1,5,6]=>000000
[6,7,3,2,1,5,4]=>[1,6,5,2,7,4,3]=>[1,5,4,6,7,3,2]=>[7,3,4,2,1,5,6]=>000000
[6,7,3,2,4,1,5]=>[1,6,2,7,5,4,3]=>[1,6,4,5,7,2,3]=>[7,2,4,3,1,6,5]=>000000
[6,7,3,2,4,5,1]=>[1,6,5,4,2,7,3]=>[1,4,5,6,7,2,3]=>[7,4,3,2,1,6,5]=>000000
[6,7,3,2,5,1,4]=>[1,6,2,7,4,3,5]=>[1,6,4,7,3,2,5]=>[7,2,4,1,5,6,3]=>000000
[6,7,3,2,5,4,1]=>[1,6,4,2,7,3,5]=>[1,4,6,7,2,3,5]=>[7,4,2,1,6,5,3]=>000000
[6,7,3,4,1,2,5]=>[1,6,2,7,5,3,4]=>[1,6,5,3,7,2,4]=>[7,2,3,5,1,6,4]=>000000
[6,7,3,4,1,5,2]=>[1,6,5,2,7,3,4]=>[1,5,6,2,7,3,4]=>[7,3,2,6,1,5,4]=>000000
[6,7,3,4,2,1,5]=>[1,6,2,7,5,3,4]=>[1,6,5,3,7,2,4]=>[7,2,3,5,1,6,4]=>000000
[6,7,3,4,2,5,1]=>[1,6,5,2,7,3,4]=>[1,5,6,2,7,3,4]=>[7,3,2,6,1,5,4]=>000000
[6,7,3,4,5,1,2]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>000000
[6,7,3,4,5,2,1]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>000000
[6,7,3,5,1,2,4]=>[1,6,2,7,4,5,3]=>[1,6,5,7,4,2,3]=>[7,2,3,1,4,6,5]=>000000
[6,7,3,5,1,4,2]=>[1,6,4,5,2,7,3]=>[1,5,7,6,4,2,3]=>[7,3,1,2,4,6,5]=>000000
[6,7,3,5,2,1,4]=>[1,6,2,7,4,5,3]=>[1,6,5,7,4,2,3]=>[7,2,3,1,4,6,5]=>000000
[6,7,3,5,2,4,1]=>[1,6,4,5,2,7,3]=>[1,5,7,6,4,2,3]=>[7,3,1,2,4,6,5]=>000000
[6,7,3,5,4,1,2]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>000000
[6,7,3,5,4,2,1]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>000000
[6,7,4,1,2,3,5]=>[1,6,3,4,2,7,5]=>[1,4,6,3,7,2,5]=>[7,4,2,5,1,6,3]=>000000
[6,7,4,1,2,5,3]=>[1,6,5,2,7,3,4]=>[1,5,6,2,7,3,4]=>[7,3,2,6,1,5,4]=>000000
[6,7,4,1,3,2,5]=>[1,6,2,7,5,3,4]=>[1,6,5,3,7,2,4]=>[7,2,3,5,1,6,4]=>000000
[6,7,4,1,3,5,2]=>[1,6,5,3,4,2,7]=>[1,4,5,3,6,2,7]=>[7,4,3,5,2,6,1]=>000000
[6,7,4,1,5,2,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>000000
[6,7,4,1,5,3,2]=>[1,6,3,4,2,7,5]=>[1,4,6,3,7,2,5]=>[7,4,2,5,1,6,3]=>000000
[6,7,4,2,1,3,5]=>[1,6,3,4,2,7,5]=>[1,4,6,3,7,2,5]=>[7,4,2,5,1,6,3]=>000000
[6,7,4,2,1,5,3]=>[1,6,5,2,7,3,4]=>[1,5,6,2,7,3,4]=>[7,3,2,6,1,5,4]=>000000
[6,7,4,2,3,1,5]=>[1,6,2,7,5,3,4]=>[1,6,5,3,7,2,4]=>[7,2,3,5,1,6,4]=>000000
[6,7,4,2,3,5,1]=>[1,6,5,3,4,2,7]=>[1,4,5,3,6,2,7]=>[7,4,3,5,2,6,1]=>000000
[6,7,4,2,5,1,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>000000
[6,7,4,2,5,3,1]=>[1,6,3,4,2,7,5]=>[1,4,6,3,7,2,5]=>[7,4,2,5,1,6,3]=>000000
[6,7,4,3,1,2,5]=>[1,6,2,7,5,3,4]=>[1,6,5,3,7,2,4]=>[7,2,3,5,1,6,4]=>000000
[6,7,4,3,1,5,2]=>[1,6,5,2,7,3,4]=>[1,5,6,2,7,3,4]=>[7,3,2,6,1,5,4]=>000000
[6,7,4,3,2,1,5]=>[1,6,2,7,5,3,4]=>[1,6,5,3,7,2,4]=>[7,2,3,5,1,6,4]=>000000
[6,7,4,3,2,5,1]=>[1,6,5,2,7,3,4]=>[1,5,6,2,7,3,4]=>[7,3,2,6,1,5,4]=>000000
[6,7,4,3,5,1,2]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>000000
[6,7,4,3,5,2,1]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>000000
[6,7,4,5,1,2,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>000000
[6,7,4,5,1,3,2]=>[1,6,3,4,5,2,7]=>[1,5,6,3,4,2,7]=>[7,3,2,5,4,6,1]=>000000
[6,7,4,5,2,1,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>000000
[6,7,4,5,2,3,1]=>[1,6,3,4,5,2,7]=>[1,5,6,3,4,2,7]=>[7,3,2,5,4,6,1]=>000000
[6,7,4,5,3,1,2]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>000000
[6,7,4,5,3,2,1]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>000000
[6,7,5,1,2,3,4]=>[1,6,3,5,2,7,4]=>[1,5,6,7,3,2,4]=>[7,3,2,1,5,6,4]=>000000
[6,7,5,1,2,4,3]=>[1,6,4,2,7,3,5]=>[1,4,6,7,2,3,5]=>[7,4,2,1,6,5,3]=>000000
[6,7,5,1,3,2,4]=>[1,6,2,7,4,3,5]=>[1,6,4,7,3,2,5]=>[7,2,4,1,5,6,3]=>000000
[6,7,5,1,3,4,2]=>[1,6,4,2,7,3,5]=>[1,4,6,7,2,3,5]=>[7,4,2,1,6,5,3]=>000000
[6,7,5,1,4,2,3]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[7,2,1,3,5,6,4]=>000000
[6,7,5,1,4,3,2]=>[1,6,3,5,4,2,7]=>[1,4,5,6,2,3,7]=>[7,4,3,2,6,5,1]=>000000
[6,7,5,2,1,3,4]=>[1,6,3,5,2,7,4]=>[1,5,6,7,3,2,4]=>[7,3,2,1,5,6,4]=>000000
[6,7,5,2,1,4,3]=>[1,6,4,2,7,3,5]=>[1,4,6,7,2,3,5]=>[7,4,2,1,6,5,3]=>000000
[6,7,5,2,3,1,4]=>[1,6,2,7,4,3,5]=>[1,6,4,7,3,2,5]=>[7,2,4,1,5,6,3]=>000000
[6,7,5,2,3,4,1]=>[1,6,4,2,7,3,5]=>[1,4,6,7,2,3,5]=>[7,4,2,1,6,5,3]=>000000
[6,7,5,2,4,1,3]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[7,2,1,3,5,6,4]=>000000
[6,7,5,2,4,3,1]=>[1,6,3,5,4,2,7]=>[1,4,5,6,2,3,7]=>[7,4,3,2,6,5,1]=>000000
[6,7,5,3,1,2,4]=>[1,6,2,7,4,3,5]=>[1,6,4,7,3,2,5]=>[7,2,4,1,5,6,3]=>000000
[6,7,5,3,1,4,2]=>[1,6,4,3,5,2,7]=>[1,5,4,6,3,2,7]=>[7,3,4,2,5,6,1]=>000000
[6,7,5,3,2,1,4]=>[1,6,2,7,4,3,5]=>[1,6,4,7,3,2,5]=>[7,2,4,1,5,6,3]=>000000
[6,7,5,3,2,4,1]=>[1,6,4,3,5,2,7]=>[1,5,4,6,3,2,7]=>[7,3,4,2,5,6,1]=>000000
[6,7,5,3,4,1,2]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[7,2,1,3,5,6,4]=>000000
[6,7,5,3,4,2,1]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[7,2,1,3,5,6,4]=>000000
[6,7,5,4,1,2,3]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[7,2,1,3,5,6,4]=>000000
[6,7,5,4,1,3,2]=>[1,6,3,5,2,7,4]=>[1,5,6,7,3,2,4]=>[7,3,2,1,5,6,4]=>000000
[6,7,5,4,2,1,3]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[7,2,1,3,5,6,4]=>000000
[6,7,5,4,2,3,1]=>[1,6,3,5,2,7,4]=>[1,5,6,7,3,2,4]=>[7,3,2,1,5,6,4]=>000000
[6,7,5,4,3,1,2]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[7,2,1,3,5,6,4]=>000000
[6,7,5,4,3,2,1]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[7,2,1,3,5,6,4]=>000000
[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[1,3,4,5,6,7,2]=>[7,5,4,3,2,1,6]=>000000
[7,1,2,3,4,6,5]=>[1,7,5,4,3,2,6]=>[1,3,4,5,7,2,6]=>[7,5,4,3,1,6,2]=>000000
[7,1,2,3,5,4,6]=>[1,7,6,4,3,2,5]=>[1,3,4,6,2,7,5]=>[7,5,4,2,6,1,3]=>000000
[7,1,2,3,5,6,4]=>[1,7,4,3,2,5,6]=>[1,3,4,7,2,5,6]=>[7,5,4,1,6,3,2]=>000000
[7,1,2,3,6,4,5]=>[1,7,5,6,4,3,2]=>[1,3,4,6,7,5,2]=>[7,5,4,2,1,3,6]=>000000
[7,1,2,3,6,5,4]=>[1,7,4,3,2,5,6]=>[1,3,4,7,2,5,6]=>[7,5,4,1,6,3,2]=>000000
[7,1,2,4,3,5,6]=>[1,7,6,5,3,2,4]=>[1,3,5,2,6,7,4]=>[7,5,3,6,2,1,4]=>000000
[7,1,2,4,3,6,5]=>[1,7,5,3,2,4,6]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>000000
[7,1,2,4,5,3,6]=>[1,7,6,3,2,4,5]=>[1,3,6,2,4,7,5]=>[7,5,2,6,4,1,3]=>000000
[7,1,2,4,5,6,3]=>[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>000000
[7,1,2,4,6,3,5]=>[1,7,5,6,3,2,4]=>[1,3,6,2,7,5,4]=>[7,5,2,6,1,3,4]=>000000
[7,1,2,4,6,5,3]=>[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>000000
[7,1,2,5,3,4,6]=>[1,7,6,4,5,3,2]=>[1,3,5,6,4,7,2]=>[7,5,3,2,4,1,6]=>000000
[7,1,2,5,3,6,4]=>[1,7,4,5,3,2,6]=>[1,3,5,7,4,2,6]=>[7,5,3,1,4,6,2]=>000000
[7,1,2,5,4,3,6]=>[1,7,6,3,2,4,5]=>[1,3,6,2,4,7,5]=>[7,5,2,6,4,1,3]=>000000
[7,1,2,5,4,6,3]=>[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>000000
[7,1,2,5,6,3,4]=>[1,7,4,5,6,3,2]=>[1,3,6,7,4,5,2]=>[7,5,2,1,4,3,6]=>000000
[7,1,2,5,6,4,3]=>[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>000000
[7,1,2,6,3,4,5]=>[1,7,5,3,2,4,6]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>000000
[7,1,2,6,3,5,4]=>[1,7,4,6,5,3,2]=>[1,3,5,6,7,2,4]=>[7,5,3,2,1,6,4]=>000000
[7,1,2,6,4,3,5]=>[1,7,5,4,6,3,2]=>[1,3,6,5,7,4,2]=>[7,5,2,3,1,4,6]=>000000
[7,1,2,6,4,5,3]=>[1,7,3,2,4,6,5]=>[1,3,7,2,6,4,5]=>[7,5,1,6,2,4,3]=>000000
[7,1,2,6,5,3,4]=>[1,7,4,6,3,2,5]=>[1,3,6,7,2,4,5]=>[7,5,2,1,6,4,3]=>000000
[7,1,2,6,5,4,3]=>[1,7,3,2,4,6,5]=>[1,3,7,2,6,4,5]=>[7,5,1,6,2,4,3]=>000000
[7,1,3,2,4,5,6]=>[1,7,6,5,4,2,3]=>[1,4,2,5,6,7,3]=>[7,4,6,3,2,1,5]=>000000
[7,1,3,2,4,6,5]=>[1,7,5,4,2,3,6]=>[1,4,2,5,7,3,6]=>[7,4,6,3,1,5,2]=>000000
[7,1,3,2,5,4,6]=>[1,7,6,4,2,3,5]=>[1,4,2,6,3,7,5]=>[7,4,6,2,5,1,3]=>000000
[7,1,3,2,5,6,4]=>[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>000000
[7,1,3,2,6,4,5]=>[1,7,5,6,4,2,3]=>[1,4,2,6,7,5,3]=>[7,4,6,2,1,3,5]=>000000
[7,1,3,2,6,5,4]=>[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>000000
[7,1,3,4,2,5,6]=>[1,7,6,5,2,3,4]=>[1,5,2,3,6,7,4]=>[7,3,6,5,2,1,4]=>000000
[7,1,3,4,2,6,5]=>[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>000000
[7,1,3,4,5,2,6]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>000000
[7,1,3,4,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,1,3,4,6,2,5]=>[1,7,5,6,2,3,4]=>[1,6,2,3,7,5,4]=>[7,2,6,5,1,3,4]=>000000
[7,1,3,4,6,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,1,3,5,2,4,6]=>[1,7,6,4,5,2,3]=>[1,5,2,6,4,7,3]=>[7,3,6,2,4,1,5]=>000000
[7,1,3,5,2,6,4]=>[1,7,4,5,2,3,6]=>[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>000000
[7,1,3,5,4,2,6]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>000000
[7,1,3,5,4,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,1,3,5,6,2,4]=>[1,7,4,5,6,2,3]=>[1,6,2,7,4,5,3]=>[7,2,6,1,4,3,5]=>000000
[7,1,3,5,6,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,1,3,6,2,4,5]=>[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>000000
[7,1,3,6,2,5,4]=>[1,7,4,6,5,2,3]=>[1,5,2,6,7,3,4]=>[7,3,6,2,1,5,4]=>000000
[7,1,3,6,4,2,5]=>[1,7,5,4,6,2,3]=>[1,6,2,5,7,4,3]=>[7,2,6,3,1,4,5]=>000000
[7,1,3,6,4,5,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>000000
[7,1,3,6,5,2,4]=>[1,7,4,6,2,3,5]=>[1,6,2,7,3,4,5]=>[7,2,6,1,5,4,3]=>000000
[7,1,3,6,5,4,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>000000
[7,1,4,2,3,5,6]=>[1,7,6,5,3,4,2]=>[1,4,5,3,6,7,2]=>[7,4,3,5,2,1,6]=>000000
[7,1,4,2,3,6,5]=>[1,7,5,3,4,2,6]=>[1,4,5,3,7,2,6]=>[7,4,3,5,1,6,2]=>000000
[7,1,4,2,5,3,6]=>[1,7,6,3,4,2,5]=>[1,4,6,3,2,7,5]=>[7,4,2,5,6,1,3]=>000000
[7,1,4,2,5,6,3]=>[1,7,3,4,2,5,6]=>[1,4,7,3,2,5,6]=>[7,4,1,5,6,3,2]=>000000
[7,1,4,2,6,3,5]=>[1,7,5,6,3,4,2]=>[1,4,6,3,7,5,2]=>[7,4,2,5,1,3,6]=>000000
[7,1,4,2,6,5,3]=>[1,7,3,4,2,5,6]=>[1,4,7,3,2,5,6]=>[7,4,1,5,6,3,2]=>000000
[7,1,4,3,2,5,6]=>[1,7,6,5,2,3,4]=>[1,5,2,3,6,7,4]=>[7,3,6,5,2,1,4]=>000000
[7,1,4,3,2,6,5]=>[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>000000
[7,1,4,3,5,2,6]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>000000
[7,1,4,3,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,1,4,3,6,2,5]=>[1,7,5,6,2,3,4]=>[1,6,2,3,7,5,4]=>[7,2,6,5,1,3,4]=>000000
[7,1,4,3,6,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,1,4,5,2,3,6]=>[1,7,6,3,4,5,2]=>[1,5,6,3,4,7,2]=>[7,3,2,5,4,1,6]=>000000
[7,1,4,5,2,6,3]=>[1,7,3,4,5,2,6]=>[1,5,7,3,4,2,6]=>[7,3,1,5,4,6,2]=>000000
[7,1,4,5,3,2,6]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>000000
[7,1,4,5,3,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,1,4,5,6,2,3]=>[1,7,3,4,5,6,2]=>[1,6,7,3,4,5,2]=>[7,2,1,5,4,3,6]=>000000
[7,1,4,5,6,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,1,4,6,2,3,5]=>[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>000000
[7,1,4,6,2,5,3]=>[1,7,3,4,6,5,2]=>[1,5,6,2,7,4,3]=>[7,3,2,6,1,4,5]=>000000
[7,1,4,6,3,2,5]=>[1,7,5,3,4,6,2]=>[1,6,5,3,7,4,2]=>[7,2,3,5,1,4,6]=>000000
[7,1,4,6,3,5,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>000000
[7,1,4,6,5,2,3]=>[1,7,3,4,6,2,5]=>[1,6,7,3,2,4,5]=>[7,2,1,5,6,4,3]=>000000
[7,1,4,6,5,3,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>000000
[7,1,5,2,3,4,6]=>[1,7,6,4,2,3,5]=>[1,4,2,6,3,7,5]=>[7,4,6,2,5,1,3]=>000000
[7,1,5,2,3,6,4]=>[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>000000
[7,1,5,2,4,3,6]=>[1,7,6,3,5,4,2]=>[1,4,5,6,2,7,3]=>[7,4,3,2,6,1,5]=>000000
[7,1,5,2,4,6,3]=>[1,7,3,5,4,2,6]=>[1,4,5,7,2,3,6]=>[7,4,3,1,6,5,2]=>000000
[7,1,5,2,6,3,4]=>[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>000000
[7,1,5,2,6,4,3]=>[1,7,3,5,6,4,2]=>[1,4,6,7,2,5,3]=>[7,4,2,1,6,3,5]=>000000
[7,1,5,3,2,4,6]=>[1,7,6,4,3,5,2]=>[1,5,4,6,3,7,2]=>[7,3,4,2,5,1,6]=>000000
[7,1,5,3,2,6,4]=>[1,7,4,3,5,2,6]=>[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>000000
[7,1,5,3,4,2,6]=>[1,7,6,2,3,5,4]=>[1,6,2,5,3,7,4]=>[7,2,6,3,5,1,4]=>000000
[7,1,5,3,4,6,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>000000
[7,1,5,3,6,2,4]=>[1,7,4,3,5,6,2]=>[1,6,4,7,3,5,2]=>[7,2,4,1,5,3,6]=>000000
[7,1,5,3,6,4,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>000000
[7,1,5,4,2,3,6]=>[1,7,6,3,5,2,4]=>[1,5,6,2,3,7,4]=>[7,3,2,6,5,1,4]=>000000
[7,1,5,4,2,6,3]=>[1,7,3,5,2,4,6]=>[1,5,7,2,3,4,6]=>[7,3,1,6,5,4,2]=>000000
[7,1,5,4,3,2,6]=>[1,7,6,2,3,5,4]=>[1,6,2,5,3,7,4]=>[7,2,6,3,5,1,4]=>000000
[7,1,5,4,3,6,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>000000
[7,1,5,4,6,2,3]=>[1,7,3,5,6,2,4]=>[1,6,7,2,3,5,4]=>[7,2,1,6,5,3,4]=>000000
[7,1,5,4,6,3,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>000000
[7,1,5,6,2,3,4]=>[1,7,4,6,3,5,2]=>[1,5,6,7,3,4,2]=>[7,3,2,1,5,4,6]=>000000
[7,1,5,6,2,4,3]=>[1,7,3,5,2,4,6]=>[1,5,7,2,3,4,6]=>[7,3,1,6,5,4,2]=>000000
[7,1,5,6,3,2,4]=>[1,7,4,6,2,3,5]=>[1,6,2,7,3,4,5]=>[7,2,6,1,5,4,3]=>000000
[7,1,5,6,3,4,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>000000
[7,1,5,6,4,2,3]=>[1,7,3,5,4,6,2]=>[1,6,7,5,3,4,2]=>[7,2,1,3,5,4,6]=>000000
[7,1,5,6,4,3,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>000000
[7,1,6,2,3,4,5]=>[1,7,5,3,6,4,2]=>[1,4,6,5,7,2,3]=>[7,4,2,3,1,6,5]=>000000
[7,1,6,2,3,5,4]=>[1,7,4,2,3,6,5]=>[1,4,2,7,6,3,5]=>[7,4,6,1,2,5,3]=>000000
[7,1,6,2,4,3,5]=>[1,7,5,4,2,3,6]=>[1,4,2,5,7,3,6]=>[7,4,6,3,1,5,2]=>000000
[7,1,6,2,4,5,3]=>[1,7,3,6,5,4,2]=>[1,4,5,6,7,3,2]=>[7,4,3,2,1,5,6]=>000000
[7,1,6,2,5,3,4]=>[1,7,4,2,3,6,5]=>[1,4,2,7,6,3,5]=>[7,4,6,1,2,5,3]=>000000
[7,1,6,2,5,4,3]=>[1,7,3,6,4,2,5]=>[1,4,6,7,3,2,5]=>[7,4,2,1,5,6,3]=>000000
[7,1,6,3,2,4,5]=>[1,7,5,2,3,6,4]=>[1,5,2,7,6,4,3]=>[7,3,6,1,2,4,5]=>000000
[7,1,6,3,2,5,4]=>[1,7,4,3,6,5,2]=>[1,5,4,6,7,2,3]=>[7,3,4,2,1,6,5]=>000000
[7,1,6,3,4,2,5]=>[1,7,5,4,3,6,2]=>[1,6,4,5,7,3,2]=>[7,2,4,3,1,5,6]=>000000
[7,1,6,3,4,5,2]=>[1,7,2,3,6,5,4]=>[1,7,2,5,6,3,4]=>[7,1,6,3,2,5,4]=>000000
[7,1,6,3,5,2,4]=>[1,7,4,3,6,2,5]=>[1,6,4,7,2,3,5]=>[7,2,4,1,6,5,3]=>000000
[7,1,6,3,5,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>000000
[7,1,6,4,2,3,5]=>[1,7,5,2,3,6,4]=>[1,5,2,7,6,4,3]=>[7,3,6,1,2,4,5]=>000000
[7,1,6,4,2,5,3]=>[1,7,3,6,5,2,4]=>[1,5,6,3,7,2,4]=>[7,3,2,5,1,6,4]=>000000
[7,1,6,4,3,2,5]=>[1,7,5,3,6,2,4]=>[1,6,5,2,7,3,4]=>[7,2,3,6,1,5,4]=>000000
[7,1,6,4,3,5,2]=>[1,7,2,3,6,5,4]=>[1,7,2,5,6,3,4]=>[7,1,6,3,2,5,4]=>000000
[7,1,6,4,5,2,3]=>[1,7,3,6,2,4,5]=>[1,6,7,2,4,3,5]=>[7,2,1,6,4,5,3]=>000000
[7,1,6,4,5,3,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>000000
[7,1,6,5,2,3,4]=>[1,7,4,5,2,3,6]=>[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>000000
[7,1,6,5,2,4,3]=>[1,7,3,6,4,5,2]=>[1,5,7,6,4,3,2]=>[7,3,1,2,4,5,6]=>000000
[7,1,6,5,3,2,4]=>[1,7,4,5,3,6,2]=>[1,6,5,7,4,3,2]=>[7,2,3,1,4,5,6]=>000000
[7,1,6,5,3,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>000000
[7,1,6,5,4,2,3]=>[1,7,3,6,2,4,5]=>[1,6,7,2,4,3,5]=>[7,2,1,6,4,5,3]=>000000
[7,1,6,5,4,3,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>000000
[7,2,1,3,4,5,6]=>[1,7,6,5,4,3,2]=>[1,3,4,5,6,7,2]=>[7,5,4,3,2,1,6]=>000000
[7,2,1,3,4,6,5]=>[1,7,5,4,3,2,6]=>[1,3,4,5,7,2,6]=>[7,5,4,3,1,6,2]=>000000
[7,2,1,3,5,4,6]=>[1,7,6,4,3,2,5]=>[1,3,4,6,2,7,5]=>[7,5,4,2,6,1,3]=>000000
[7,2,1,3,5,6,4]=>[1,7,4,3,2,5,6]=>[1,3,4,7,2,5,6]=>[7,5,4,1,6,3,2]=>000000
[7,2,1,3,6,4,5]=>[1,7,5,6,4,3,2]=>[1,3,4,6,7,5,2]=>[7,5,4,2,1,3,6]=>000000
[7,2,1,3,6,5,4]=>[1,7,4,3,2,5,6]=>[1,3,4,7,2,5,6]=>[7,5,4,1,6,3,2]=>000000
[7,2,1,4,3,5,6]=>[1,7,6,5,3,2,4]=>[1,3,5,2,6,7,4]=>[7,5,3,6,2,1,4]=>000000
[7,2,1,4,3,6,5]=>[1,7,5,3,2,4,6]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>000000
[7,2,1,4,5,3,6]=>[1,7,6,3,2,4,5]=>[1,3,6,2,4,7,5]=>[7,5,2,6,4,1,3]=>000000
[7,2,1,4,5,6,3]=>[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>000000
[7,2,1,4,6,3,5]=>[1,7,5,6,3,2,4]=>[1,3,6,2,7,5,4]=>[7,5,2,6,1,3,4]=>000000
[7,2,1,4,6,5,3]=>[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>000000
[7,2,1,5,3,4,6]=>[1,7,6,4,5,3,2]=>[1,3,5,6,4,7,2]=>[7,5,3,2,4,1,6]=>000000
[7,2,1,5,3,6,4]=>[1,7,4,5,3,2,6]=>[1,3,5,7,4,2,6]=>[7,5,3,1,4,6,2]=>000000
[7,2,1,5,4,3,6]=>[1,7,6,3,2,4,5]=>[1,3,6,2,4,7,5]=>[7,5,2,6,4,1,3]=>000000
[7,2,1,5,4,6,3]=>[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>000000
[7,2,1,5,6,3,4]=>[1,7,4,5,6,3,2]=>[1,3,6,7,4,5,2]=>[7,5,2,1,4,3,6]=>000000
[7,2,1,5,6,4,3]=>[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>000000
[7,2,1,6,3,4,5]=>[1,7,5,3,2,4,6]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>000000
[7,2,1,6,3,5,4]=>[1,7,4,6,5,3,2]=>[1,3,5,6,7,2,4]=>[7,5,3,2,1,6,4]=>000000
[7,2,1,6,4,3,5]=>[1,7,5,4,6,3,2]=>[1,3,6,5,7,4,2]=>[7,5,2,3,1,4,6]=>000000
[7,2,1,6,4,5,3]=>[1,7,3,2,4,6,5]=>[1,3,7,2,6,4,5]=>[7,5,1,6,2,4,3]=>000000
[7,2,1,6,5,3,4]=>[1,7,4,6,3,2,5]=>[1,3,6,7,2,4,5]=>[7,5,2,1,6,4,3]=>000000
[7,2,1,6,5,4,3]=>[1,7,3,2,4,6,5]=>[1,3,7,2,6,4,5]=>[7,5,1,6,2,4,3]=>000000
[7,2,3,1,4,5,6]=>[1,7,6,5,4,2,3]=>[1,4,2,5,6,7,3]=>[7,4,6,3,2,1,5]=>000000
[7,2,3,1,4,6,5]=>[1,7,5,4,2,3,6]=>[1,4,2,5,7,3,6]=>[7,4,6,3,1,5,2]=>000000
[7,2,3,1,5,4,6]=>[1,7,6,4,2,3,5]=>[1,4,2,6,3,7,5]=>[7,4,6,2,5,1,3]=>000000
[7,2,3,1,5,6,4]=>[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>000000
[7,2,3,1,6,4,5]=>[1,7,5,6,4,2,3]=>[1,4,2,6,7,5,3]=>[7,4,6,2,1,3,5]=>000000
[7,2,3,1,6,5,4]=>[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>000000
[7,2,3,4,1,5,6]=>[1,7,6,5,2,3,4]=>[1,5,2,3,6,7,4]=>[7,3,6,5,2,1,4]=>000000
[7,2,3,4,1,6,5]=>[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>000000
[7,2,3,4,5,1,6]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>000000
[7,2,3,4,5,6,1]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,2,3,4,6,1,5]=>[1,7,5,6,2,3,4]=>[1,6,2,3,7,5,4]=>[7,2,6,5,1,3,4]=>000000
[7,2,3,4,6,5,1]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,2,3,5,1,4,6]=>[1,7,6,4,5,2,3]=>[1,5,2,6,4,7,3]=>[7,3,6,2,4,1,5]=>000000
[7,2,3,5,1,6,4]=>[1,7,4,5,2,3,6]=>[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>000000
[7,2,3,5,4,1,6]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>000000
[7,2,3,5,4,6,1]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,2,3,5,6,1,4]=>[1,7,4,5,6,2,3]=>[1,6,2,7,4,5,3]=>[7,2,6,1,4,3,5]=>000000
[7,2,3,5,6,4,1]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,2,3,6,1,4,5]=>[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>000000
[7,2,3,6,1,5,4]=>[1,7,4,6,5,2,3]=>[1,5,2,6,7,3,4]=>[7,3,6,2,1,5,4]=>000000
[7,2,3,6,4,1,5]=>[1,7,5,4,6,2,3]=>[1,6,2,5,7,4,3]=>[7,2,6,3,1,4,5]=>000000
[7,2,3,6,4,5,1]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>000000
[7,2,3,6,5,1,4]=>[1,7,4,6,2,3,5]=>[1,6,2,7,3,4,5]=>[7,2,6,1,5,4,3]=>000000
[7,2,3,6,5,4,1]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>000000
[7,2,4,1,3,5,6]=>[1,7,6,5,3,4,2]=>[1,4,5,3,6,7,2]=>[7,4,3,5,2,1,6]=>000000
[7,2,4,1,3,6,5]=>[1,7,5,3,4,2,6]=>[1,4,5,3,7,2,6]=>[7,4,3,5,1,6,2]=>000000
[7,2,4,1,5,3,6]=>[1,7,6,3,4,2,5]=>[1,4,6,3,2,7,5]=>[7,4,2,5,6,1,3]=>000000
[7,2,4,1,5,6,3]=>[1,7,3,4,2,5,6]=>[1,4,7,3,2,5,6]=>[7,4,1,5,6,3,2]=>000000
[7,2,4,1,6,3,5]=>[1,7,5,6,3,4,2]=>[1,4,6,3,7,5,2]=>[7,4,2,5,1,3,6]=>000000
[7,2,4,1,6,5,3]=>[1,7,3,4,2,5,6]=>[1,4,7,3,2,5,6]=>[7,4,1,5,6,3,2]=>000000
[7,2,4,3,1,5,6]=>[1,7,6,5,2,3,4]=>[1,5,2,3,6,7,4]=>[7,3,6,5,2,1,4]=>000000
[7,2,4,3,1,6,5]=>[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>000000
[7,2,4,3,5,1,6]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>000000
[7,2,4,3,5,6,1]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,2,4,3,6,1,5]=>[1,7,5,6,2,3,4]=>[1,6,2,3,7,5,4]=>[7,2,6,5,1,3,4]=>000000
[7,2,4,3,6,5,1]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,2,4,5,1,3,6]=>[1,7,6,3,4,5,2]=>[1,5,6,3,4,7,2]=>[7,3,2,5,4,1,6]=>000000
[7,2,4,5,1,6,3]=>[1,7,3,4,5,2,6]=>[1,5,7,3,4,2,6]=>[7,3,1,5,4,6,2]=>000000
[7,2,4,5,3,1,6]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>000000
[7,2,4,5,3,6,1]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,2,4,5,6,1,3]=>[1,7,3,4,5,6,2]=>[1,6,7,3,4,5,2]=>[7,2,1,5,4,3,6]=>000000
[7,2,4,5,6,3,1]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,2,4,6,1,3,5]=>[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>000000
[7,2,4,6,1,5,3]=>[1,7,3,4,6,5,2]=>[1,5,6,2,7,4,3]=>[7,3,2,6,1,4,5]=>000000
[7,2,4,6,3,1,5]=>[1,7,5,3,4,6,2]=>[1,6,5,3,7,4,2]=>[7,2,3,5,1,4,6]=>000000
[7,2,4,6,3,5,1]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>000000
[7,2,4,6,5,1,3]=>[1,7,3,4,6,2,5]=>[1,6,7,3,2,4,5]=>[7,2,1,5,6,4,3]=>000000
[7,2,4,6,5,3,1]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>000000
[7,2,5,1,3,4,6]=>[1,7,6,4,2,3,5]=>[1,4,2,6,3,7,5]=>[7,4,6,2,5,1,3]=>000000
[7,2,5,1,3,6,4]=>[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>000000
[7,2,5,1,4,3,6]=>[1,7,6,3,5,4,2]=>[1,4,5,6,2,7,3]=>[7,4,3,2,6,1,5]=>000000
[7,2,5,1,4,6,3]=>[1,7,3,5,4,2,6]=>[1,4,5,7,2,3,6]=>[7,4,3,1,6,5,2]=>000000
[7,2,5,1,6,3,4]=>[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>000000
[7,2,5,1,6,4,3]=>[1,7,3,5,6,4,2]=>[1,4,6,7,2,5,3]=>[7,4,2,1,6,3,5]=>000000
[7,2,5,3,1,4,6]=>[1,7,6,4,3,5,2]=>[1,5,4,6,3,7,2]=>[7,3,4,2,5,1,6]=>000000
[7,2,5,3,1,6,4]=>[1,7,4,3,5,2,6]=>[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>000000
[7,2,5,3,4,1,6]=>[1,7,6,2,3,5,4]=>[1,6,2,5,3,7,4]=>[7,2,6,3,5,1,4]=>000000
[7,2,5,3,4,6,1]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>000000
[7,2,5,3,6,1,4]=>[1,7,4,3,5,6,2]=>[1,6,4,7,3,5,2]=>[7,2,4,1,5,3,6]=>000000
[7,2,5,3,6,4,1]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>000000
[7,2,5,4,1,3,6]=>[1,7,6,3,5,2,4]=>[1,5,6,2,3,7,4]=>[7,3,2,6,5,1,4]=>000000
[7,2,5,4,1,6,3]=>[1,7,3,5,2,4,6]=>[1,5,7,2,3,4,6]=>[7,3,1,6,5,4,2]=>000000
[7,2,5,4,3,1,6]=>[1,7,6,2,3,5,4]=>[1,6,2,5,3,7,4]=>[7,2,6,3,5,1,4]=>000000
[7,2,5,4,3,6,1]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>000000
[7,2,5,4,6,1,3]=>[1,7,3,5,6,2,4]=>[1,6,7,2,3,5,4]=>[7,2,1,6,5,3,4]=>000000
[7,2,5,4,6,3,1]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>000000
[7,2,5,6,1,3,4]=>[1,7,4,6,3,5,2]=>[1,5,6,7,3,4,2]=>[7,3,2,1,5,4,6]=>000000
[7,2,5,6,1,4,3]=>[1,7,3,5,2,4,6]=>[1,5,7,2,3,4,6]=>[7,3,1,6,5,4,2]=>000000
[7,2,5,6,3,1,4]=>[1,7,4,6,2,3,5]=>[1,6,2,7,3,4,5]=>[7,2,6,1,5,4,3]=>000000
[7,2,5,6,3,4,1]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>000000
[7,2,5,6,4,1,3]=>[1,7,3,5,4,6,2]=>[1,6,7,5,3,4,2]=>[7,2,1,3,5,4,6]=>000000
[7,2,5,6,4,3,1]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>000000
[7,2,6,1,3,4,5]=>[1,7,5,3,6,4,2]=>[1,4,6,5,7,2,3]=>[7,4,2,3,1,6,5]=>000000
[7,2,6,1,3,5,4]=>[1,7,4,2,3,6,5]=>[1,4,2,7,6,3,5]=>[7,4,6,1,2,5,3]=>000000
[7,2,6,1,4,3,5]=>[1,7,5,4,2,3,6]=>[1,4,2,5,7,3,6]=>[7,4,6,3,1,5,2]=>000000
[7,2,6,1,4,5,3]=>[1,7,3,6,5,4,2]=>[1,4,5,6,7,3,2]=>[7,4,3,2,1,5,6]=>000000
[7,2,6,1,5,3,4]=>[1,7,4,2,3,6,5]=>[1,4,2,7,6,3,5]=>[7,4,6,1,2,5,3]=>000000
[7,2,6,1,5,4,3]=>[1,7,3,6,4,2,5]=>[1,4,6,7,3,2,5]=>[7,4,2,1,5,6,3]=>000000
[7,2,6,3,1,4,5]=>[1,7,5,2,3,6,4]=>[1,5,2,7,6,4,3]=>[7,3,6,1,2,4,5]=>000000
[7,2,6,3,1,5,4]=>[1,7,4,3,6,5,2]=>[1,5,4,6,7,2,3]=>[7,3,4,2,1,6,5]=>000000
[7,2,6,3,4,1,5]=>[1,7,5,4,3,6,2]=>[1,6,4,5,7,3,2]=>[7,2,4,3,1,5,6]=>000000
[7,2,6,3,4,5,1]=>[1,7,2,3,6,5,4]=>[1,7,2,5,6,3,4]=>[7,1,6,3,2,5,4]=>000000
[7,2,6,3,5,1,4]=>[1,7,4,3,6,2,5]=>[1,6,4,7,2,3,5]=>[7,2,4,1,6,5,3]=>000000
[7,2,6,3,5,4,1]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>000000
[7,2,6,4,1,3,5]=>[1,7,5,2,3,6,4]=>[1,5,2,7,6,4,3]=>[7,3,6,1,2,4,5]=>000000
[7,2,6,4,1,5,3]=>[1,7,3,6,5,2,4]=>[1,5,6,3,7,2,4]=>[7,3,2,5,1,6,4]=>000000
[7,2,6,4,3,1,5]=>[1,7,5,3,6,2,4]=>[1,6,5,2,7,3,4]=>[7,2,3,6,1,5,4]=>000000
[7,2,6,4,3,5,1]=>[1,7,2,3,6,5,4]=>[1,7,2,5,6,3,4]=>[7,1,6,3,2,5,4]=>000000
[7,2,6,4,5,1,3]=>[1,7,3,6,2,4,5]=>[1,6,7,2,4,3,5]=>[7,2,1,6,4,5,3]=>000000
[7,2,6,4,5,3,1]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>000000
[7,2,6,5,1,3,4]=>[1,7,4,5,2,3,6]=>[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>000000
[7,2,6,5,1,4,3]=>[1,7,3,6,4,5,2]=>[1,5,7,6,4,3,2]=>[7,3,1,2,4,5,6]=>000000
[7,2,6,5,3,1,4]=>[1,7,4,5,3,6,2]=>[1,6,5,7,4,3,2]=>[7,2,3,1,4,5,6]=>000000
[7,2,6,5,3,4,1]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>000000
[7,2,6,5,4,1,3]=>[1,7,3,6,2,4,5]=>[1,6,7,2,4,3,5]=>[7,2,1,6,4,5,3]=>000000
[7,2,6,5,4,3,1]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>000000
[7,3,1,2,4,5,6]=>[1,7,6,5,4,2,3]=>[1,4,2,5,6,7,3]=>[7,4,6,3,2,1,5]=>000000
[7,3,1,2,4,6,5]=>[1,7,5,4,2,3,6]=>[1,4,2,5,7,3,6]=>[7,4,6,3,1,5,2]=>000000
[7,3,1,2,5,4,6]=>[1,7,6,4,2,3,5]=>[1,4,2,6,3,7,5]=>[7,4,6,2,5,1,3]=>000000
[7,3,1,2,5,6,4]=>[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>000000
[7,3,1,2,6,4,5]=>[1,7,5,6,4,2,3]=>[1,4,2,6,7,5,3]=>[7,4,6,2,1,3,5]=>000000
[7,3,1,2,6,5,4]=>[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>000000
[7,3,1,4,2,5,6]=>[1,7,6,5,2,3,4]=>[1,5,2,3,6,7,4]=>[7,3,6,5,2,1,4]=>000000
[7,3,1,4,2,6,5]=>[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>000000
[7,3,1,4,5,2,6]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>000000
[7,3,1,4,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,3,1,4,6,2,5]=>[1,7,5,6,2,3,4]=>[1,6,2,3,7,5,4]=>[7,2,6,5,1,3,4]=>000000
[7,3,1,4,6,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,3,1,5,2,4,6]=>[1,7,6,4,5,2,3]=>[1,5,2,6,4,7,3]=>[7,3,6,2,4,1,5]=>000000
[7,3,1,5,2,6,4]=>[1,7,4,5,2,3,6]=>[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>000000
[7,3,1,5,4,2,6]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>000000
[7,3,1,5,4,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,3,1,5,6,2,4]=>[1,7,4,5,6,2,3]=>[1,6,2,7,4,5,3]=>[7,2,6,1,4,3,5]=>000000
[7,3,1,5,6,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,3,1,6,2,4,5]=>[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>000000
[7,3,1,6,2,5,4]=>[1,7,4,6,5,2,3]=>[1,5,2,6,7,3,4]=>[7,3,6,2,1,5,4]=>000000
[7,3,1,6,4,2,5]=>[1,7,5,4,6,2,3]=>[1,6,2,5,7,4,3]=>[7,2,6,3,1,4,5]=>000000
[7,3,1,6,4,5,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>000000
[7,3,1,6,5,2,4]=>[1,7,4,6,2,3,5]=>[1,6,2,7,3,4,5]=>[7,2,6,1,5,4,3]=>000000
[7,3,1,6,5,4,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>000000
[7,3,2,1,4,5,6]=>[1,7,6,5,4,2,3]=>[1,4,2,5,6,7,3]=>[7,4,6,3,2,1,5]=>000000
[7,3,2,1,4,6,5]=>[1,7,5,4,2,3,6]=>[1,4,2,5,7,3,6]=>[7,4,6,3,1,5,2]=>000000
[7,3,2,1,5,4,6]=>[1,7,6,4,2,3,5]=>[1,4,2,6,3,7,5]=>[7,4,6,2,5,1,3]=>000000
[7,3,2,1,5,6,4]=>[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>000000
[7,3,2,1,6,4,5]=>[1,7,5,6,4,2,3]=>[1,4,2,6,7,5,3]=>[7,4,6,2,1,3,5]=>000000
[7,3,2,1,6,5,4]=>[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>000000
[7,3,2,4,1,5,6]=>[1,7,6,5,2,3,4]=>[1,5,2,3,6,7,4]=>[7,3,6,5,2,1,4]=>000000
[7,3,2,4,1,6,5]=>[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>000000
[7,3,2,4,5,1,6]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>000000
[7,3,2,4,5,6,1]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,3,2,4,6,1,5]=>[1,7,5,6,2,3,4]=>[1,6,2,3,7,5,4]=>[7,2,6,5,1,3,4]=>000000
[7,3,2,4,6,5,1]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,3,2,5,1,4,6]=>[1,7,6,4,5,2,3]=>[1,5,2,6,4,7,3]=>[7,3,6,2,4,1,5]=>000000
[7,3,2,5,1,6,4]=>[1,7,4,5,2,3,6]=>[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>000000
[7,3,2,5,4,1,6]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>000000
[7,3,2,5,4,6,1]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,3,2,5,6,1,4]=>[1,7,4,5,6,2,3]=>[1,6,2,7,4,5,3]=>[7,2,6,1,4,3,5]=>000000
[7,3,2,5,6,4,1]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,3,2,6,1,4,5]=>[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>000000
[7,3,2,6,1,5,4]=>[1,7,4,6,5,2,3]=>[1,5,2,6,7,3,4]=>[7,3,6,2,1,5,4]=>000000
[7,3,2,6,4,1,5]=>[1,7,5,4,6,2,3]=>[1,6,2,5,7,4,3]=>[7,2,6,3,1,4,5]=>000000
[7,3,2,6,4,5,1]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>000000
[7,3,2,6,5,1,4]=>[1,7,4,6,2,3,5]=>[1,6,2,7,3,4,5]=>[7,2,6,1,5,4,3]=>000000
[7,3,2,6,5,4,1]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>000000
[7,3,4,1,2,5,6]=>[1,7,6,5,2,3,4]=>[1,5,2,3,6,7,4]=>[7,3,6,5,2,1,4]=>000000
[7,3,4,1,2,6,5]=>[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>000000
[7,3,4,1,5,2,6]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>000000
[7,3,4,1,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,3,4,1,6,2,5]=>[1,7,5,6,2,3,4]=>[1,6,2,3,7,5,4]=>[7,2,6,5,1,3,4]=>000000
[7,3,4,1,6,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,3,4,2,1,5,6]=>[1,7,6,5,2,3,4]=>[1,5,2,3,6,7,4]=>[7,3,6,5,2,1,4]=>000000
[7,3,4,2,1,6,5]=>[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>000000
[7,3,4,2,5,1,6]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>000000
[7,3,4,2,5,6,1]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,3,4,2,6,1,5]=>[1,7,5,6,2,3,4]=>[1,6,2,3,7,5,4]=>[7,2,6,5,1,3,4]=>000000
[7,3,4,2,6,5,1]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,3,4,5,1,2,6]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>000000
[7,3,4,5,1,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,3,4,5,2,1,6]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>000000
[7,3,4,5,2,6,1]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,3,4,5,6,1,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,3,4,5,6,2,1]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>000000
[7,3,4,6,1,2,5]=>[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>000000
[7,3,4,6,1,5,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>000000
[7,3,4,6,2,1,5]=>[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>000000
[7,3,4,6,2,5,1]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>000000
[7,3,4,6,5,1,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>000000
[7,3,4,6,5,2,1]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>000000
[7,3,5,1,2,4,6]=>[1,7,6,4,2,3,5]=>[1,4,2,6,3,7,5]=>[7,4,6,2,5,1,3]=>000000
[7,3,5,1,2,6,4]=>[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>000000
[7,3,5,1,4,2,6]=>[1,7,6,2,3,5,4]=>[1,6,2,5,3,7,4]=>[7,2,6,3,5,1,4]=>000000
[7,3,5,1,4,6,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>000000
[7,3,5,1,6,2,4]=>[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>000000
[7,3,5,1,6,4,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>000000
[7,3,5,2,1,4,6]=>[1,7,6,4,2,3,5]=>[1,4,2,6,3,7,5]=>[7,4,6,2,5,1,3]=>000000
[7,3,5,2,1,6,4]=>[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>000000
[7,3,5,2,4,1,6]=>[1,7,6,2,3,5,4]=>[1,6,2,5,3,7,4]=>[7,2,6,3,5,1,4]=>000000
[7,3,5,2,4,6,1]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>000000
[7,3,5,2,6,1,4]=>[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>000000
[7,3,5,2,6,4,1]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>000000
[7,3,5,4,1,2,6]=>[1,7,6,2,3,5,4]=>[1,6,2,5,3,7,4]=>[7,2,6,3,5,1,4]=>000000
[7,3,5,4,1,6,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>000000
[7,3,5,4,2,1,6]=>[1,7,6,2,3,5,4]=>[1,6,2,5,3,7,4]=>[7,2,6,3,5,1,4]=>000000
[7,3,5,4,2,6,1]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>000000
[7,3,5,4,6,1,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>000000
[7,3,5,4,6,2,1]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>000000
[7,3,5,6,1,2,4]=>[1,7,4,6,2,3,5]=>[1,6,2,7,3,4,5]=>[7,2,6,1,5,4,3]=>000000
[7,3,5,6,1,4,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>000000
[7,3,5,6,2,1,4]=>[1,7,4,6,2,3,5]=>[1,6,2,7,3,4,5]=>[7,2,6,1,5,4,3]=>000000
[7,3,5,6,2,4,1]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>000000
[7,3,5,6,4,1,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>000000
[7,3,5,6,4,2,1]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>000000
[7,3,6,1,2,4,5]=>[1,7,5,2,3,6,4]=>[1,5,2,7,6,4,3]=>[7,3,6,1,2,4,5]=>000000
[7,3,6,1,2,5,4]=>[1,7,4,2,3,6,5]=>[1,4,2,7,6,3,5]=>[7,4,6,1,2,5,3]=>000000
[7,3,6,1,4,2,5]=>[1,7,5,4,2,3,6]=>[1,4,2,5,7,3,6]=>[7,4,6,3,1,5,2]=>000000
[7,3,6,1,4,5,2]=>[1,7,2,3,6,5,4]=>[1,7,2,5,6,3,4]=>[7,1,6,3,2,5,4]=>000000
[7,3,6,1,5,2,4]=>[1,7,4,2,3,6,5]=>[1,4,2,7,6,3,5]=>[7,4,6,1,2,5,3]=>000000
[7,3,6,1,5,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>000000
[7,3,6,2,1,4,5]=>[1,7,5,2,3,6,4]=>[1,5,2,7,6,4,3]=>[7,3,6,1,2,4,5]=>000000
[7,3,6,2,1,5,4]=>[1,7,4,2,3,6,5]=>[1,4,2,7,6,3,5]=>[7,4,6,1,2,5,3]=>000000
[7,3,6,2,4,1,5]=>[1,7,5,4,2,3,6]=>[1,4,2,5,7,3,6]=>[7,4,6,3,1,5,2]=>000000
[7,3,6,2,4,5,1]=>[1,7,2,3,6,5,4]=>[1,7,2,5,6,3,4]=>[7,1,6,3,2,5,4]=>000000
[7,3,6,2,5,1,4]=>[1,7,4,2,3,6,5]=>[1,4,2,7,6,3,5]=>[7,4,6,1,2,5,3]=>000000
[7,3,6,2,5,4,1]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>000000
[7,3,6,4,1,2,5]=>[1,7,5,2,3,6,4]=>[1,5,2,7,6,4,3]=>[7,3,6,1,2,4,5]=>000000
[7,3,6,4,1,5,2]=>[1,7,2,3,6,5,4]=>[1,7,2,5,6,3,4]=>[7,1,6,3,2,5,4]=>000000
[7,3,6,4,2,1,5]=>[1,7,5,2,3,6,4]=>[1,5,2,7,6,4,3]=>[7,3,6,1,2,4,5]=>000000
[7,3,6,4,2,5,1]=>[1,7,2,3,6,5,4]=>[1,7,2,5,6,3,4]=>[7,1,6,3,2,5,4]=>000000
[7,3,6,4,5,1,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>000000
[7,3,6,4,5,2,1]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>000000
[7,3,6,5,1,2,4]=>[1,7,4,5,2,3,6]=>[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>000000
[7,3,6,5,1,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>000000
[7,3,6,5,2,1,4]=>[1,7,4,5,2,3,6]=>[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>000000
[7,3,6,5,2,4,1]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>000000
[7,3,6,5,4,1,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>000000
[7,3,6,5,4,2,1]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>000000
[7,4,1,2,3,5,6]=>[1,7,6,5,3,2,4]=>[1,3,5,2,6,7,4]=>[7,5,3,6,2,1,4]=>000000
[7,4,1,2,3,6,5]=>[1,7,5,3,2,4,6]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>000000
[7,4,1,2,5,3,6]=>[1,7,6,3,2,4,5]=>[1,3,6,2,4,7,5]=>[7,5,2,6,4,1,3]=>000000
[7,4,1,2,5,6,3]=>[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>000000
[7,4,1,2,6,3,5]=>[1,7,5,6,3,2,4]=>[1,3,6,2,7,5,4]=>[7,5,2,6,1,3,4]=>000000
[7,4,1,2,6,5,3]=>[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>000000
[7,4,1,3,2,5,6]=>[1,7,6,5,2,4,3]=>[1,5,4,2,6,7,3]=>[7,3,4,6,2,1,5]=>000000
[7,4,1,3,2,6,5]=>[1,7,5,2,4,3,6]=>[1,5,4,2,7,3,6]=>[7,3,4,6,1,5,2]=>000000
[7,4,1,3,5,2,6]=>[1,7,6,2,4,3,5]=>[1,6,4,2,3,7,5]=>[7,2,4,6,5,1,3]=>000000
[7,4,1,3,5,6,2]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>000000
[7,4,1,3,6,2,5]=>[1,7,5,6,2,4,3]=>[1,6,4,2,7,5,3]=>[7,2,4,6,1,3,5]=>000000
[7,4,1,3,6,5,2]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>000000
[7,4,1,5,2,3,6]=>[1,7,6,3,2,4,5]=>[1,3,6,2,4,7,5]=>[7,5,2,6,4,1,3]=>000000
[7,4,1,5,2,6,3]=>[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>000000
[7,4,1,5,3,2,6]=>[1,7,6,2,4,5,3]=>[1,6,5,2,4,7,3]=>[7,2,3,6,4,1,5]=>000000
[7,4,1,5,3,6,2]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>000000
[7,4,1,5,6,2,3]=>[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>000000
[7,4,1,5,6,3,2]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>[7,1,2,6,4,3,5]=>000000
[7,4,1,6,2,3,5]=>[1,7,5,2,4,6,3]=>[1,5,7,3,6,4,2]=>[7,3,1,5,2,4,6]=>000000
[7,4,1,6,2,5,3]=>[1,7,3,2,4,6,5]=>[1,3,7,2,6,4,5]=>[7,5,1,6,2,4,3]=>000000
[7,4,1,6,3,2,5]=>[1,7,5,3,2,4,6]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>000000
[7,4,1,6,3,5,2]=>[1,7,2,4,6,5,3]=>[1,7,5,2,6,4,3]=>[7,1,3,6,2,4,5]=>000000
[7,4,1,6,5,2,3]=>[1,7,3,2,4,6,5]=>[1,3,7,2,6,4,5]=>[7,5,1,6,2,4,3]=>000000
[7,4,1,6,5,3,2]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[7,1,2,6,5,4,3]=>000000
[7,4,2,1,3,5,6]=>[1,7,6,5,3,2,4]=>[1,3,5,2,6,7,4]=>[7,5,3,6,2,1,4]=>000000
[7,4,2,1,3,6,5]=>[1,7,5,3,2,4,6]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>000000
[7,4,2,1,5,3,6]=>[1,7,6,3,2,4,5]=>[1,3,6,2,4,7,5]=>[7,5,2,6,4,1,3]=>000000
[7,4,2,1,5,6,3]=>[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>000000
[7,4,2,1,6,3,5]=>[1,7,5,6,3,2,4]=>[1,3,6,2,7,5,4]=>[7,5,2,6,1,3,4]=>000000
[7,4,2,1,6,5,3]=>[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>000000
[7,4,2,3,1,5,6]=>[1,7,6,5,2,4,3]=>[1,5,4,2,6,7,3]=>[7,3,4,6,2,1,5]=>000000
[7,4,2,3,1,6,5]=>[1,7,5,2,4,3,6]=>[1,5,4,2,7,3,6]=>[7,3,4,6,1,5,2]=>000000
[7,4,2,3,5,1,6]=>[1,7,6,2,4,3,5]=>[1,6,4,2,3,7,5]=>[7,2,4,6,5,1,3]=>000000
[7,4,2,3,5,6,1]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>000000
[7,4,2,3,6,1,5]=>[1,7,5,6,2,4,3]=>[1,6,4,2,7,5,3]=>[7,2,4,6,1,3,5]=>000000
[7,4,2,3,6,5,1]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>000000
[7,4,2,5,1,3,6]=>[1,7,6,3,2,4,5]=>[1,3,6,2,4,7,5]=>[7,5,2,6,4,1,3]=>000000
[7,4,2,5,1,6,3]=>[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>000000
[7,4,2,5,3,1,6]=>[1,7,6,2,4,5,3]=>[1,6,5,2,4,7,3]=>[7,2,3,6,4,1,5]=>000000
[7,4,2,5,3,6,1]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>000000
[7,4,2,5,6,1,3]=>[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>000000
[7,4,2,5,6,3,1]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>[7,1,2,6,4,3,5]=>000000
[7,4,2,6,1,3,5]=>[1,7,5,2,4,6,3]=>[1,5,7,3,6,4,2]=>[7,3,1,5,2,4,6]=>000000
[7,4,2,6,1,5,3]=>[1,7,3,2,4,6,5]=>[1,3,7,2,6,4,5]=>[7,5,1,6,2,4,3]=>000000
[7,4,2,6,3,1,5]=>[1,7,5,3,2,4,6]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>000000
[7,4,2,6,3,5,1]=>[1,7,2,4,6,5,3]=>[1,7,5,2,6,4,3]=>[7,1,3,6,2,4,5]=>000000
[7,4,2,6,5,1,3]=>[1,7,3,2,4,6,5]=>[1,3,7,2,6,4,5]=>[7,5,1,6,2,4,3]=>000000
[7,4,2,6,5,3,1]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[7,1,2,6,5,4,3]=>000000
[7,4,3,1,2,5,6]=>[1,7,6,5,2,4,3]=>[1,5,4,2,6,7,3]=>[7,3,4,6,2,1,5]=>000000
[7,4,3,1,2,6,5]=>[1,7,5,2,4,3,6]=>[1,5,4,2,7,3,6]=>[7,3,4,6,1,5,2]=>000000
[7,4,3,1,5,2,6]=>[1,7,6,2,4,3,5]=>[1,6,4,2,3,7,5]=>[7,2,4,6,5,1,3]=>000000
[7,4,3,1,5,6,2]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>000000
[7,4,3,1,6,2,5]=>[1,7,5,6,2,4,3]=>[1,6,4,2,7,5,3]=>[7,2,4,6,1,3,5]=>000000
[7,4,3,1,6,5,2]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>000000
[7,4,3,2,1,5,6]=>[1,7,6,5,2,4,3]=>[1,5,4,2,6,7,3]=>[7,3,4,6,2,1,5]=>000000
[7,4,3,2,1,6,5]=>[1,7,5,2,4,3,6]=>[1,5,4,2,7,3,6]=>[7,3,4,6,1,5,2]=>000000
[7,4,3,2,5,1,6]=>[1,7,6,2,4,3,5]=>[1,6,4,2,3,7,5]=>[7,2,4,6,5,1,3]=>000000
[7,4,3,2,5,6,1]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>000000
[7,4,3,2,6,1,5]=>[1,7,5,6,2,4,3]=>[1,6,4,2,7,5,3]=>[7,2,4,6,1,3,5]=>000000
[7,4,3,2,6,5,1]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>000000
[7,4,3,5,1,2,6]=>[1,7,6,2,4,5,3]=>[1,6,5,2,4,7,3]=>[7,2,3,6,4,1,5]=>000000
[7,4,3,5,1,6,2]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>000000
[7,4,3,5,2,1,6]=>[1,7,6,2,4,5,3]=>[1,6,5,2,4,7,3]=>[7,2,3,6,4,1,5]=>000000
[7,4,3,5,2,6,1]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>000000
[7,4,3,5,6,1,2]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>[7,1,2,6,4,3,5]=>000000
[7,4,3,5,6,2,1]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>[7,1,2,6,4,3,5]=>000000
[7,4,3,6,1,2,5]=>[1,7,5,2,4,6,3]=>[1,5,7,3,6,4,2]=>[7,3,1,5,2,4,6]=>000000
[7,4,3,6,1,5,2]=>[1,7,2,4,6,5,3]=>[1,7,5,2,6,4,3]=>[7,1,3,6,2,4,5]=>000000
[7,4,3,6,2,1,5]=>[1,7,5,2,4,6,3]=>[1,5,7,3,6,4,2]=>[7,3,1,5,2,4,6]=>000000
[7,4,3,6,2,5,1]=>[1,7,2,4,6,5,3]=>[1,7,5,2,6,4,3]=>[7,1,3,6,2,4,5]=>000000
[7,4,3,6,5,1,2]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[7,1,2,6,5,4,3]=>000000
[7,4,3,6,5,2,1]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[7,1,2,6,5,4,3]=>000000
[7,4,5,1,2,3,6]=>[1,7,6,3,5,2,4]=>[1,5,6,2,3,7,4]=>[7,3,2,6,5,1,4]=>000000
[7,4,5,1,2,6,3]=>[1,7,3,5,2,4,6]=>[1,5,7,2,3,4,6]=>[7,3,1,6,5,4,2]=>000000
[7,4,5,1,3,2,6]=>[1,7,6,2,4,3,5]=>[1,6,4,2,3,7,5]=>[7,2,4,6,5,1,3]=>000000
[7,4,5,1,3,6,2]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>000000
[7,4,5,1,6,2,3]=>[1,7,3,5,6,2,4]=>[1,6,7,2,3,5,4]=>[7,2,1,6,5,3,4]=>000000
[7,4,5,1,6,3,2]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>000000
[7,4,5,2,1,3,6]=>[1,7,6,3,5,2,4]=>[1,5,6,2,3,7,4]=>[7,3,2,6,5,1,4]=>000000
[7,4,5,2,1,6,3]=>[1,7,3,5,2,4,6]=>[1,5,7,2,3,4,6]=>[7,3,1,6,5,4,2]=>000000
[7,4,5,2,3,1,6]=>[1,7,6,2,4,3,5]=>[1,6,4,2,3,7,5]=>[7,2,4,6,5,1,3]=>000000
[7,4,5,2,3,6,1]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>000000
[7,4,5,2,6,1,3]=>[1,7,3,5,6,2,4]=>[1,6,7,2,3,5,4]=>[7,2,1,6,5,3,4]=>000000
[7,4,5,2,6,3,1]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>000000
[7,4,5,3,1,2,6]=>[1,7,6,2,4,3,5]=>[1,6,4,2,3,7,5]=>[7,2,4,6,5,1,3]=>000000
[7,4,5,3,1,6,2]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>000000
[7,4,5,3,2,1,6]=>[1,7,6,2,4,3,5]=>[1,6,4,2,3,7,5]=>[7,2,4,6,5,1,3]=>000000
[7,4,5,3,2,6,1]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>000000
[7,4,5,3,6,1,2]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>000000
[7,4,5,3,6,2,1]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>000000
[7,4,5,6,1,2,3]=>[1,7,3,5,2,4,6]=>[1,5,7,2,3,4,6]=>[7,3,1,6,5,4,2]=>000000
[7,4,5,6,1,3,2]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[7,1,2,6,5,4,3]=>000000
[7,4,5,6,2,1,3]=>[1,7,3,5,2,4,6]=>[1,5,7,2,3,4,6]=>[7,3,1,6,5,4,2]=>000000
[7,4,5,6,2,3,1]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[7,1,2,6,5,4,3]=>000000
[7,4,5,6,3,1,2]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[7,1,2,6,5,4,3]=>000000
[7,4,5,6,3,2,1]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>[7,1,2,6,5,4,3]=>000000
[7,4,6,1,2,3,5]=>[1,7,5,2,4,3,6]=>[1,5,4,2,7,3,6]=>[7,3,4,6,1,5,2]=>000000
[7,4,6,1,2,5,3]=>[1,7,3,6,5,2,4]=>[1,5,6,3,7,2,4]=>[7,3,2,5,1,6,4]=>000000
[7,4,6,1,3,2,5]=>[1,7,5,3,6,2,4]=>[1,6,5,2,7,3,4]=>[7,2,3,6,1,5,4]=>000000
[7,4,6,1,3,5,2]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[7,1,4,6,2,5,3]=>000000
[7,4,6,1,5,2,3]=>[1,7,3,6,2,4,5]=>[1,6,7,2,4,3,5]=>[7,2,1,6,4,5,3]=>000000
[7,4,6,1,5,3,2]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[7,1,4,6,2,5,3]=>000000
[7,4,6,2,1,3,5]=>[1,7,5,2,4,3,6]=>[1,5,4,2,7,3,6]=>[7,3,4,6,1,5,2]=>000000
[7,4,6,2,1,5,3]=>[1,7,3,6,5,2,4]=>[1,5,6,3,7,2,4]=>[7,3,2,5,1,6,4]=>000000
[7,4,6,2,3,1,5]=>[1,7,5,3,6,2,4]=>[1,6,5,2,7,3,4]=>[7,2,3,6,1,5,4]=>000000
[7,4,6,2,3,5,1]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[7,1,4,6,2,5,3]=>000000
[7,4,6,2,5,1,3]=>[1,7,3,6,2,4,5]=>[1,6,7,2,4,3,5]=>[7,2,1,6,4,5,3]=>000000
[7,4,6,2,5,3,1]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[7,1,4,6,2,5,3]=>000000
[7,4,6,3,1,2,5]=>[1,7,5,2,4,3,6]=>[1,5,4,2,7,3,6]=>[7,3,4,6,1,5,2]=>000000
[7,4,6,3,1,5,2]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[7,1,4,6,2,5,3]=>000000
[7,4,6,3,2,1,5]=>[1,7,5,2,4,3,6]=>[1,5,4,2,7,3,6]=>[7,3,4,6,1,5,2]=>000000
[7,4,6,3,2,5,1]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[7,1,4,6,2,5,3]=>000000
[7,4,6,3,5,1,2]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[7,1,4,6,2,5,3]=>000000
[7,4,6,3,5,2,1]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[7,1,4,6,2,5,3]=>000000
[7,4,6,5,1,2,3]=>[1,7,3,6,2,4,5]=>[1,6,7,2,4,3,5]=>[7,2,1,6,4,5,3]=>000000
[7,4,6,5,1,3,2]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>000000
[7,4,6,5,2,1,3]=>[1,7,3,6,2,4,5]=>[1,6,7,2,4,3,5]=>[7,2,1,6,4,5,3]=>000000
[7,4,6,5,2,3,1]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>000000
[7,4,6,5,3,1,2]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>000000
[7,4,6,5,3,2,1]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>000000
[7,5,1,2,3,4,6]=>[1,7,6,4,2,5,3]=>[1,4,6,5,3,7,2]=>[7,4,2,3,5,1,6]=>000000
[7,5,1,2,3,6,4]=>[1,7,4,2,5,3,6]=>[1,4,7,5,3,2,6]=>[7,4,1,3,5,6,2]=>000000
[7,5,1,2,4,3,6]=>[1,7,6,3,2,5,4]=>[1,3,6,5,2,7,4]=>[7,5,2,3,6,1,4]=>000000
[7,5,1,2,4,6,3]=>[1,7,3,2,5,4,6]=>[1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>000000
[7,5,1,2,6,3,4]=>[1,7,4,2,5,6,3]=>[1,4,7,6,3,5,2]=>[7,4,1,2,5,3,6]=>000000
[7,5,1,2,6,4,3]=>[1,7,3,2,5,6,4]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>000000
[7,5,1,3,2,4,6]=>[1,7,6,4,3,2,5]=>[1,3,4,6,2,7,5]=>[7,5,4,2,6,1,3]=>000000
[7,5,1,3,2,6,4]=>[1,7,4,3,2,5,6]=>[1,3,4,7,2,5,6]=>[7,5,4,1,6,3,2]=>000000
[7,5,1,3,4,2,6]=>[1,7,6,2,5,4,3]=>[1,6,4,5,2,7,3]=>[7,2,4,3,6,1,5]=>000000
[7,5,1,3,4,6,2]=>[1,7,2,5,4,3,6]=>[1,7,4,5,2,3,6]=>[7,1,4,3,6,5,2]=>000000
[7,5,1,3,6,2,4]=>[1,7,4,3,2,5,6]=>[1,3,4,7,2,5,6]=>[7,5,4,1,6,3,2]=>000000
[7,5,1,3,6,4,2]=>[1,7,2,5,6,4,3]=>[1,7,4,6,2,5,3]=>[7,1,4,2,6,3,5]=>000000
[7,5,1,4,2,3,6]=>[1,7,6,3,2,5,4]=>[1,3,6,5,2,7,4]=>[7,5,2,3,6,1,4]=>000000
[7,5,1,4,2,6,3]=>[1,7,3,2,5,4,6]=>[1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>000000
[7,5,1,4,3,2,6]=>[1,7,6,2,5,3,4]=>[1,6,5,3,2,7,4]=>[7,2,3,5,6,1,4]=>000000
[7,5,1,4,3,6,2]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>000000
[7,5,1,4,6,2,3]=>[1,7,3,2,5,6,4]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>000000
[7,5,1,4,6,3,2]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>000000
[7,5,1,6,2,3,4]=>[1,7,4,6,3,2,5]=>[1,3,6,7,2,4,5]=>[7,5,2,1,6,4,3]=>000000
[7,5,1,6,2,4,3]=>[1,7,3,2,5,4,6]=>[1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>000000
[7,5,1,6,3,2,4]=>[1,7,4,6,2,5,3]=>[1,6,5,7,2,4,3]=>[7,2,3,1,6,4,5]=>000000
[7,5,1,6,3,4,2]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>000000
[7,5,1,6,4,2,3]=>[1,7,3,2,5,4,6]=>[1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>000000
[7,5,1,6,4,3,2]=>[1,7,2,5,4,6,3]=>[1,7,6,5,2,4,3]=>[7,1,2,3,6,4,5]=>000000
[7,5,2,1,3,4,6]=>[1,7,6,4,2,5,3]=>[1,4,6,5,3,7,2]=>[7,4,2,3,5,1,6]=>000000
[7,5,2,1,3,6,4]=>[1,7,4,2,5,3,6]=>[1,4,7,5,3,2,6]=>[7,4,1,3,5,6,2]=>000000
[7,5,2,1,4,3,6]=>[1,7,6,3,2,5,4]=>[1,3,6,5,2,7,4]=>[7,5,2,3,6,1,4]=>000000
[7,5,2,1,4,6,3]=>[1,7,3,2,5,4,6]=>[1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>000000
[7,5,2,1,6,3,4]=>[1,7,4,2,5,6,3]=>[1,4,7,6,3,5,2]=>[7,4,1,2,5,3,6]=>000000
[7,5,2,1,6,4,3]=>[1,7,3,2,5,6,4]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>000000
[7,5,2,3,1,4,6]=>[1,7,6,4,3,2,5]=>[1,3,4,6,2,7,5]=>[7,5,4,2,6,1,3]=>000000
[7,5,2,3,1,6,4]=>[1,7,4,3,2,5,6]=>[1,3,4,7,2,5,6]=>[7,5,4,1,6,3,2]=>000000
[7,5,2,3,4,1,6]=>[1,7,6,2,5,4,3]=>[1,6,4,5,2,7,3]=>[7,2,4,3,6,1,5]=>000000
[7,5,2,3,4,6,1]=>[1,7,2,5,4,3,6]=>[1,7,4,5,2,3,6]=>[7,1,4,3,6,5,2]=>000000
[7,5,2,3,6,1,4]=>[1,7,4,3,2,5,6]=>[1,3,4,7,2,5,6]=>[7,5,4,1,6,3,2]=>000000
[7,5,2,3,6,4,1]=>[1,7,2,5,6,4,3]=>[1,7,4,6,2,5,3]=>[7,1,4,2,6,3,5]=>000000
[7,5,2,4,1,3,6]=>[1,7,6,3,2,5,4]=>[1,3,6,5,2,7,4]=>[7,5,2,3,6,1,4]=>000000
[7,5,2,4,1,6,3]=>[1,7,3,2,5,4,6]=>[1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>000000
[7,5,2,4,3,1,6]=>[1,7,6,2,5,3,4]=>[1,6,5,3,2,7,4]=>[7,2,3,5,6,1,4]=>000000
[7,5,2,4,3,6,1]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>000000
[7,5,2,4,6,1,3]=>[1,7,3,2,5,6,4]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>000000
[7,5,2,4,6,3,1]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>000000
[7,5,2,6,1,3,4]=>[1,7,4,6,3,2,5]=>[1,3,6,7,2,4,5]=>[7,5,2,1,6,4,3]=>000000
[7,5,2,6,1,4,3]=>[1,7,3,2,5,4,6]=>[1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>000000
[7,5,2,6,3,1,4]=>[1,7,4,6,2,5,3]=>[1,6,5,7,2,4,3]=>[7,2,3,1,6,4,5]=>000000
[7,5,2,6,3,4,1]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>000000
[7,5,2,6,4,1,3]=>[1,7,3,2,5,4,6]=>[1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>000000
[7,5,2,6,4,3,1]=>[1,7,2,5,4,6,3]=>[1,7,6,5,2,4,3]=>[7,1,2,3,6,4,5]=>000000
[7,5,3,1,2,4,6]=>[1,7,6,4,2,5,3]=>[1,4,6,5,3,7,2]=>[7,4,2,3,5,1,6]=>000000
[7,5,3,1,2,6,4]=>[1,7,4,2,5,3,6]=>[1,4,7,5,3,2,6]=>[7,4,1,3,5,6,2]=>000000
[7,5,3,1,4,2,6]=>[1,7,6,2,5,4,3]=>[1,6,4,5,2,7,3]=>[7,2,4,3,6,1,5]=>000000
[7,5,3,1,4,6,2]=>[1,7,2,5,4,3,6]=>[1,7,4,5,2,3,6]=>[7,1,4,3,6,5,2]=>000000
[7,5,3,1,6,2,4]=>[1,7,4,2,5,6,3]=>[1,4,7,6,3,5,2]=>[7,4,1,2,5,3,6]=>000000
[7,5,3,1,6,4,2]=>[1,7,2,5,6,4,3]=>[1,7,4,6,2,5,3]=>[7,1,4,2,6,3,5]=>000000
[7,5,3,2,1,4,6]=>[1,7,6,4,2,5,3]=>[1,4,6,5,3,7,2]=>[7,4,2,3,5,1,6]=>000000
[7,5,3,2,1,6,4]=>[1,7,4,2,5,3,6]=>[1,4,7,5,3,2,6]=>[7,4,1,3,5,6,2]=>000000
[7,5,3,2,4,1,6]=>[1,7,6,2,5,4,3]=>[1,6,4,5,2,7,3]=>[7,2,4,3,6,1,5]=>000000
[7,5,3,2,4,6,1]=>[1,7,2,5,4,3,6]=>[1,7,4,5,2,3,6]=>[7,1,4,3,6,5,2]=>000000
[7,5,3,2,6,1,4]=>[1,7,4,2,5,6,3]=>[1,4,7,6,3,5,2]=>[7,4,1,2,5,3,6]=>000000
[7,5,3,2,6,4,1]=>[1,7,2,5,6,4,3]=>[1,7,4,6,2,5,3]=>[7,1,4,2,6,3,5]=>000000
[7,5,3,4,1,2,6]=>[1,7,6,2,5,3,4]=>[1,6,5,3,2,7,4]=>[7,2,3,5,6,1,4]=>000000
[7,5,3,4,1,6,2]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>000000
[7,5,3,4,2,1,6]=>[1,7,6,2,5,3,4]=>[1,6,5,3,2,7,4]=>[7,2,3,5,6,1,4]=>000000
[7,5,3,4,2,6,1]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>000000
[7,5,3,4,6,1,2]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>000000
[7,5,3,4,6,2,1]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>000000
[7,5,3,6,1,2,4]=>[1,7,4,6,2,5,3]=>[1,6,5,7,2,4,3]=>[7,2,3,1,6,4,5]=>000000
[7,5,3,6,1,4,2]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>000000
[7,5,3,6,2,1,4]=>[1,7,4,6,2,5,3]=>[1,6,5,7,2,4,3]=>[7,2,3,1,6,4,5]=>000000
[7,5,3,6,2,4,1]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>000000
[7,5,3,6,4,1,2]=>[1,7,2,5,4,6,3]=>[1,7,6,5,2,4,3]=>[7,1,2,3,6,4,5]=>000000
[7,5,3,6,4,2,1]=>[1,7,2,5,4,6,3]=>[1,7,6,5,2,4,3]=>[7,1,2,3,6,4,5]=>000000
[7,5,4,1,2,3,6]=>[1,7,6,3,4,2,5]=>[1,4,6,3,2,7,5]=>[7,4,2,5,6,1,3]=>000000
[7,5,4,1,2,6,3]=>[1,7,3,4,2,5,6]=>[1,4,7,3,2,5,6]=>[7,4,1,5,6,3,2]=>000000
[7,5,4,1,3,2,6]=>[1,7,6,2,5,3,4]=>[1,6,5,3,2,7,4]=>[7,2,3,5,6,1,4]=>000000
[7,5,4,1,3,6,2]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>000000
[7,5,4,1,6,2,3]=>[1,7,3,4,2,5,6]=>[1,4,7,3,2,5,6]=>[7,4,1,5,6,3,2]=>000000
[7,5,4,1,6,3,2]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>000000
[7,5,4,2,1,3,6]=>[1,7,6,3,4,2,5]=>[1,4,6,3,2,7,5]=>[7,4,2,5,6,1,3]=>000000
[7,5,4,2,1,6,3]=>[1,7,3,4,2,5,6]=>[1,4,7,3,2,5,6]=>[7,4,1,5,6,3,2]=>000000
[7,5,4,2,3,1,6]=>[1,7,6,2,5,3,4]=>[1,6,5,3,2,7,4]=>[7,2,3,5,6,1,4]=>000000
[7,5,4,2,3,6,1]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>000000
[7,5,4,2,6,1,3]=>[1,7,3,4,2,5,6]=>[1,4,7,3,2,5,6]=>[7,4,1,5,6,3,2]=>000000
[7,5,4,2,6,3,1]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>000000
[7,5,4,3,1,2,6]=>[1,7,6,2,5,3,4]=>[1,6,5,3,2,7,4]=>[7,2,3,5,6,1,4]=>000000
[7,5,4,3,1,6,2]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>000000
[7,5,4,3,2,1,6]=>[1,7,6,2,5,3,4]=>[1,6,5,3,2,7,4]=>[7,2,3,5,6,1,4]=>000000
[7,5,4,3,2,6,1]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>000000
[7,5,4,3,6,1,2]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>000000
[7,5,4,3,6,2,1]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>000000
[7,5,4,6,1,2,3]=>[1,7,3,4,6,2,5]=>[1,6,7,3,2,4,5]=>[7,2,1,5,6,4,3]=>000000
[7,5,4,6,1,3,2]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>000000
[7,5,4,6,2,1,3]=>[1,7,3,4,6,2,5]=>[1,6,7,3,2,4,5]=>[7,2,1,5,6,4,3]=>000000
[7,5,4,6,2,3,1]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>000000
[7,5,4,6,3,1,2]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>000000
[7,5,4,6,3,2,1]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>000000
[7,5,6,1,2,3,4]=>[1,7,4,2,5,3,6]=>[1,4,7,5,3,2,6]=>[7,4,1,3,5,6,2]=>000000
[7,5,6,1,2,4,3]=>[1,7,3,6,4,2,5]=>[1,4,6,7,3,2,5]=>[7,4,2,1,5,6,3]=>000000
[7,5,6,1,3,2,4]=>[1,7,4,2,5,3,6]=>[1,4,7,5,3,2,6]=>[7,4,1,3,5,6,2]=>000000
[7,5,6,1,3,4,2]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[7,1,3,2,6,5,4]=>000000
[7,5,6,1,4,2,3]=>[1,7,3,6,2,5,4]=>[1,6,7,5,2,3,4]=>[7,2,1,3,6,5,4]=>000000
[7,5,6,1,4,3,2]=>[1,7,2,5,4,3,6]=>[1,7,4,5,2,3,6]=>[7,1,4,3,6,5,2]=>000000
[7,5,6,2,1,3,4]=>[1,7,4,2,5,3,6]=>[1,4,7,5,3,2,6]=>[7,4,1,3,5,6,2]=>000000
[7,5,6,2,1,4,3]=>[1,7,3,6,4,2,5]=>[1,4,6,7,3,2,5]=>[7,4,2,1,5,6,3]=>000000
[7,5,6,2,3,1,4]=>[1,7,4,2,5,3,6]=>[1,4,7,5,3,2,6]=>[7,4,1,3,5,6,2]=>000000
[7,5,6,2,3,4,1]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[7,1,3,2,6,5,4]=>000000
[7,5,6,2,4,1,3]=>[1,7,3,6,2,5,4]=>[1,6,7,5,2,3,4]=>[7,2,1,3,6,5,4]=>000000
[7,5,6,2,4,3,1]=>[1,7,2,5,4,3,6]=>[1,7,4,5,2,3,6]=>[7,1,4,3,6,5,2]=>000000
[7,5,6,3,1,2,4]=>[1,7,4,3,6,2,5]=>[1,6,4,7,2,3,5]=>[7,2,4,1,6,5,3]=>000000
[7,5,6,3,1,4,2]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[7,1,3,2,6,5,4]=>000000
[7,5,6,3,2,1,4]=>[1,7,4,3,6,2,5]=>[1,6,4,7,2,3,5]=>[7,2,4,1,6,5,3]=>000000
[7,5,6,3,2,4,1]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[7,1,3,2,6,5,4]=>000000
[7,5,6,3,4,1,2]=>[1,7,2,5,4,3,6]=>[1,7,4,5,2,3,6]=>[7,1,4,3,6,5,2]=>000000
[7,5,6,3,4,2,1]=>[1,7,2,5,4,3,6]=>[1,7,4,5,2,3,6]=>[7,1,4,3,6,5,2]=>000000
[7,5,6,4,1,2,3]=>[1,7,3,6,2,5,4]=>[1,6,7,5,2,3,4]=>[7,2,1,3,6,5,4]=>000000
[7,5,6,4,1,3,2]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[7,1,3,2,6,5,4]=>000000
[7,5,6,4,2,1,3]=>[1,7,3,6,2,5,4]=>[1,6,7,5,2,3,4]=>[7,2,1,3,6,5,4]=>000000
[7,5,6,4,2,3,1]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[7,1,3,2,6,5,4]=>000000
[7,5,6,4,3,1,2]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[7,1,3,2,6,5,4]=>000000
[7,5,6,4,3,2,1]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[7,1,3,2,6,5,4]=>000000
[7,6,1,2,3,4,5]=>[1,7,5,3,2,6,4]=>[1,3,5,7,6,4,2]=>[7,5,3,1,2,4,6]=>000000
[7,6,1,2,3,5,4]=>[1,7,4,2,6,5,3]=>[1,4,7,5,6,3,2]=>[7,4,1,3,2,5,6]=>000000
[7,6,1,2,4,3,5]=>[1,7,5,4,2,6,3]=>[1,4,5,7,6,2,3]=>[7,4,3,1,2,6,5]=>000000
[7,6,1,2,4,5,3]=>[1,7,3,2,6,5,4]=>[1,3,7,5,6,2,4]=>[7,5,1,3,2,6,4]=>000000
[7,6,1,2,5,3,4]=>[1,7,4,2,6,3,5]=>[1,4,7,6,2,3,5]=>[7,4,1,2,6,5,3]=>000000
[7,6,1,2,5,4,3]=>[1,7,3,2,6,4,5]=>[1,3,7,6,4,2,5]=>[7,5,1,2,4,6,3]=>000000
[7,6,1,3,2,4,5]=>[1,7,5,2,6,4,3]=>[1,5,4,7,6,3,2]=>[7,3,4,1,2,5,6]=>000000
[7,6,1,3,2,5,4]=>[1,7,4,3,2,6,5]=>[1,3,4,7,6,2,5]=>[7,5,4,1,2,6,3]=>000000
[7,6,1,3,4,2,5]=>[1,7,5,4,3,2,6]=>[1,3,4,5,7,2,6]=>[7,5,4,3,1,6,2]=>000000
[7,6,1,3,4,5,2]=>[1,7,2,6,5,4,3]=>[1,7,4,5,6,2,3]=>[7,1,4,3,2,6,5]=>000000
[7,6,1,3,5,2,4]=>[1,7,4,3,2,6,5]=>[1,3,4,7,6,2,5]=>[7,5,4,1,2,6,3]=>000000
[7,6,1,3,5,4,2]=>[1,7,2,6,4,3,5]=>[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>000000
[7,6,1,4,2,3,5]=>[1,7,5,2,6,3,4]=>[1,5,7,2,6,3,4]=>[7,3,1,6,2,5,4]=>000000
[7,6,1,4,2,5,3]=>[1,7,3,2,6,5,4]=>[1,3,7,5,6,2,4]=>[7,5,1,3,2,6,4]=>000000
[7,6,1,4,3,2,5]=>[1,7,5,3,2,6,4]=>[1,3,5,7,6,4,2]=>[7,5,3,1,2,4,6]=>000000
[7,6,1,4,3,5,2]=>[1,7,2,6,5,3,4]=>[1,7,5,3,6,2,4]=>[7,1,3,5,2,6,4]=>000000
[7,6,1,4,5,2,3]=>[1,7,3,2,6,4,5]=>[1,3,7,6,4,2,5]=>[7,5,1,2,4,6,3]=>000000
[7,6,1,4,5,3,2]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>000000
[7,6,1,5,2,3,4]=>[1,7,4,5,2,6,3]=>[1,5,6,7,4,2,3]=>[7,3,2,1,4,6,5]=>000000
[7,6,1,5,2,4,3]=>[1,7,3,2,6,4,5]=>[1,3,7,6,4,2,5]=>[7,5,1,2,4,6,3]=>000000
[7,6,1,5,3,2,4]=>[1,7,4,5,3,2,6]=>[1,3,5,7,4,2,6]=>[7,5,3,1,4,6,2]=>000000
[7,6,1,5,3,4,2]=>[1,7,2,6,4,5,3]=>[1,7,5,6,4,2,3]=>[7,1,3,2,4,6,5]=>000000
[7,6,1,5,4,2,3]=>[1,7,3,2,6,4,5]=>[1,3,7,6,4,2,5]=>[7,5,1,2,4,6,3]=>000000
[7,6,1,5,4,3,2]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>000000
[7,6,2,1,3,4,5]=>[1,7,5,3,2,6,4]=>[1,3,5,7,6,4,2]=>[7,5,3,1,2,4,6]=>000000
[7,6,2,1,3,5,4]=>[1,7,4,2,6,5,3]=>[1,4,7,5,6,3,2]=>[7,4,1,3,2,5,6]=>000000
[7,6,2,1,4,3,5]=>[1,7,5,4,2,6,3]=>[1,4,5,7,6,2,3]=>[7,4,3,1,2,6,5]=>000000
[7,6,2,1,4,5,3]=>[1,7,3,2,6,5,4]=>[1,3,7,5,6,2,4]=>[7,5,1,3,2,6,4]=>000000
[7,6,2,1,5,3,4]=>[1,7,4,2,6,3,5]=>[1,4,7,6,2,3,5]=>[7,4,1,2,6,5,3]=>000000
[7,6,2,1,5,4,3]=>[1,7,3,2,6,4,5]=>[1,3,7,6,4,2,5]=>[7,5,1,2,4,6,3]=>000000
[7,6,2,3,1,4,5]=>[1,7,5,2,6,4,3]=>[1,5,4,7,6,3,2]=>[7,3,4,1,2,5,6]=>000000
[7,6,2,3,1,5,4]=>[1,7,4,3,2,6,5]=>[1,3,4,7,6,2,5]=>[7,5,4,1,2,6,3]=>000000
[7,6,2,3,4,1,5]=>[1,7,5,4,3,2,6]=>[1,3,4,5,7,2,6]=>[7,5,4,3,1,6,2]=>000000
[7,6,2,3,4,5,1]=>[1,7,2,6,5,4,3]=>[1,7,4,5,6,2,3]=>[7,1,4,3,2,6,5]=>000000
[7,6,2,3,5,1,4]=>[1,7,4,3,2,6,5]=>[1,3,4,7,6,2,5]=>[7,5,4,1,2,6,3]=>000000
[7,6,2,3,5,4,1]=>[1,7,2,6,4,3,5]=>[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>000000
[7,6,2,4,1,3,5]=>[1,7,5,2,6,3,4]=>[1,5,7,2,6,3,4]=>[7,3,1,6,2,5,4]=>000000
[7,6,2,4,1,5,3]=>[1,7,3,2,6,5,4]=>[1,3,7,5,6,2,4]=>[7,5,1,3,2,6,4]=>000000
[7,6,2,4,3,1,5]=>[1,7,5,3,2,6,4]=>[1,3,5,7,6,4,2]=>[7,5,3,1,2,4,6]=>000000
[7,6,2,4,3,5,1]=>[1,7,2,6,5,3,4]=>[1,7,5,3,6,2,4]=>[7,1,3,5,2,6,4]=>000000
[7,6,2,4,5,1,3]=>[1,7,3,2,6,4,5]=>[1,3,7,6,4,2,5]=>[7,5,1,2,4,6,3]=>000000
[7,6,2,4,5,3,1]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>000000
[7,6,2,5,1,3,4]=>[1,7,4,5,2,6,3]=>[1,5,6,7,4,2,3]=>[7,3,2,1,4,6,5]=>000000
[7,6,2,5,1,4,3]=>[1,7,3,2,6,4,5]=>[1,3,7,6,4,2,5]=>[7,5,1,2,4,6,3]=>000000
[7,6,2,5,3,1,4]=>[1,7,4,5,3,2,6]=>[1,3,5,7,4,2,6]=>[7,5,3,1,4,6,2]=>000000
[7,6,2,5,3,4,1]=>[1,7,2,6,4,5,3]=>[1,7,5,6,4,2,3]=>[7,1,3,2,4,6,5]=>000000
[7,6,2,5,4,1,3]=>[1,7,3,2,6,4,5]=>[1,3,7,6,4,2,5]=>[7,5,1,2,4,6,3]=>000000
[7,6,2,5,4,3,1]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>000000
[7,6,3,1,2,4,5]=>[1,7,5,2,6,4,3]=>[1,5,4,7,6,3,2]=>[7,3,4,1,2,5,6]=>000000
[7,6,3,1,2,5,4]=>[1,7,4,2,6,5,3]=>[1,4,7,5,6,3,2]=>[7,4,1,3,2,5,6]=>000000
[7,6,3,1,4,2,5]=>[1,7,5,4,2,6,3]=>[1,4,5,7,6,2,3]=>[7,4,3,1,2,6,5]=>000000
[7,6,3,1,4,5,2]=>[1,7,2,6,5,4,3]=>[1,7,4,5,6,2,3]=>[7,1,4,3,2,6,5]=>000000
[7,6,3,1,5,2,4]=>[1,7,4,2,6,3,5]=>[1,4,7,6,2,3,5]=>[7,4,1,2,6,5,3]=>000000
[7,6,3,1,5,4,2]=>[1,7,2,6,4,3,5]=>[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>000000
[7,6,3,2,1,4,5]=>[1,7,5,2,6,4,3]=>[1,5,4,7,6,3,2]=>[7,3,4,1,2,5,6]=>000000
[7,6,3,2,1,5,4]=>[1,7,4,2,6,5,3]=>[1,4,7,5,6,3,2]=>[7,4,1,3,2,5,6]=>000000
[7,6,3,2,4,1,5]=>[1,7,5,4,2,6,3]=>[1,4,5,7,6,2,3]=>[7,4,3,1,2,6,5]=>000000
[7,6,3,2,4,5,1]=>[1,7,2,6,5,4,3]=>[1,7,4,5,6,2,3]=>[7,1,4,3,2,6,5]=>000000
[7,6,3,2,5,1,4]=>[1,7,4,2,6,3,5]=>[1,4,7,6,2,3,5]=>[7,4,1,2,6,5,3]=>000000
[7,6,3,2,5,4,1]=>[1,7,2,6,4,3,5]=>[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>000000
[7,6,3,4,1,2,5]=>[1,7,5,2,6,3,4]=>[1,5,7,2,6,3,4]=>[7,3,1,6,2,5,4]=>000000
[7,6,3,4,1,5,2]=>[1,7,2,6,5,3,4]=>[1,7,5,3,6,2,4]=>[7,1,3,5,2,6,4]=>000000
[7,6,3,4,2,1,5]=>[1,7,5,2,6,3,4]=>[1,5,7,2,6,3,4]=>[7,3,1,6,2,5,4]=>000000
[7,6,3,4,2,5,1]=>[1,7,2,6,5,3,4]=>[1,7,5,3,6,2,4]=>[7,1,3,5,2,6,4]=>000000
[7,6,3,4,5,1,2]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>000000
[7,6,3,4,5,2,1]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>000000
[7,6,3,5,1,2,4]=>[1,7,4,5,2,6,3]=>[1,5,6,7,4,2,3]=>[7,3,2,1,4,6,5]=>000000
[7,6,3,5,1,4,2]=>[1,7,2,6,4,5,3]=>[1,7,5,6,4,2,3]=>[7,1,3,2,4,6,5]=>000000
[7,6,3,5,2,1,4]=>[1,7,4,5,2,6,3]=>[1,5,6,7,4,2,3]=>[7,3,2,1,4,6,5]=>000000
[7,6,3,5,2,4,1]=>[1,7,2,6,4,5,3]=>[1,7,5,6,4,2,3]=>[7,1,3,2,4,6,5]=>000000
[7,6,3,5,4,1,2]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>000000
[7,6,3,5,4,2,1]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>000000
[7,6,4,1,2,3,5]=>[1,7,5,2,6,3,4]=>[1,5,7,2,6,3,4]=>[7,3,1,6,2,5,4]=>000000
[7,6,4,1,2,5,3]=>[1,7,3,4,2,6,5]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>000000
[7,6,4,1,3,2,5]=>[1,7,5,3,4,2,6]=>[1,4,5,3,7,2,6]=>[7,4,3,5,1,6,2]=>000000
[7,6,4,1,3,5,2]=>[1,7,2,6,5,3,4]=>[1,7,5,3,6,2,4]=>[7,1,3,5,2,6,4]=>000000
[7,6,4,1,5,2,3]=>[1,7,3,4,2,6,5]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>000000
[7,6,4,1,5,3,2]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>000000
[7,6,4,2,1,3,5]=>[1,7,5,2,6,3,4]=>[1,5,7,2,6,3,4]=>[7,3,1,6,2,5,4]=>000000
[7,6,4,2,1,5,3]=>[1,7,3,4,2,6,5]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>000000
[7,6,4,2,3,1,5]=>[1,7,5,3,4,2,6]=>[1,4,5,3,7,2,6]=>[7,4,3,5,1,6,2]=>000000
[7,6,4,2,3,5,1]=>[1,7,2,6,5,3,4]=>[1,7,5,3,6,2,4]=>[7,1,3,5,2,6,4]=>000000
[7,6,4,2,5,1,3]=>[1,7,3,4,2,6,5]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>000000
[7,6,4,2,5,3,1]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>000000
[7,6,4,3,1,2,5]=>[1,7,5,2,6,3,4]=>[1,5,7,2,6,3,4]=>[7,3,1,6,2,5,4]=>000000
[7,6,4,3,1,5,2]=>[1,7,2,6,5,3,4]=>[1,7,5,3,6,2,4]=>[7,1,3,5,2,6,4]=>000000
[7,6,4,3,2,1,5]=>[1,7,5,2,6,3,4]=>[1,5,7,2,6,3,4]=>[7,3,1,6,2,5,4]=>000000
[7,6,4,3,2,5,1]=>[1,7,2,6,5,3,4]=>[1,7,5,3,6,2,4]=>[7,1,3,5,2,6,4]=>000000
[7,6,4,3,5,1,2]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>000000
[7,6,4,3,5,2,1]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>000000
[7,6,4,5,1,2,3]=>[1,7,3,4,5,2,6]=>[1,5,7,3,4,2,6]=>[7,3,1,5,4,6,2]=>000000
[7,6,4,5,1,3,2]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>000000
[7,6,4,5,2,1,3]=>[1,7,3,4,5,2,6]=>[1,5,7,3,4,2,6]=>[7,3,1,5,4,6,2]=>000000
[7,6,4,5,2,3,1]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>000000
[7,6,4,5,3,1,2]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>000000
[7,6,4,5,3,2,1]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>000000
[7,6,5,1,2,3,4]=>[1,7,4,2,6,3,5]=>[1,4,7,6,2,3,5]=>[7,4,1,2,6,5,3]=>000000
[7,6,5,1,2,4,3]=>[1,7,3,5,2,6,4]=>[1,5,7,6,3,2,4]=>[7,3,1,2,5,6,4]=>000000
[7,6,5,1,3,2,4]=>[1,7,4,2,6,3,5]=>[1,4,7,6,2,3,5]=>[7,4,1,2,6,5,3]=>000000
[7,6,5,1,3,4,2]=>[1,7,2,6,4,3,5]=>[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>000000
[7,6,5,1,4,2,3]=>[1,7,3,5,4,2,6]=>[1,4,5,7,2,3,6]=>[7,4,3,1,6,5,2]=>000000
[7,6,5,1,4,3,2]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>000000
[7,6,5,2,1,3,4]=>[1,7,4,2,6,3,5]=>[1,4,7,6,2,3,5]=>[7,4,1,2,6,5,3]=>000000
[7,6,5,2,1,4,3]=>[1,7,3,5,2,6,4]=>[1,5,7,6,3,2,4]=>[7,3,1,2,5,6,4]=>000000
[7,6,5,2,3,1,4]=>[1,7,4,2,6,3,5]=>[1,4,7,6,2,3,5]=>[7,4,1,2,6,5,3]=>000000
[7,6,5,2,3,4,1]=>[1,7,2,6,4,3,5]=>[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>000000
[7,6,5,2,4,1,3]=>[1,7,3,5,4,2,6]=>[1,4,5,7,2,3,6]=>[7,4,3,1,6,5,2]=>000000
[7,6,5,2,4,3,1]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>000000
[7,6,5,3,1,2,4]=>[1,7,4,3,5,2,6]=>[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>000000
[7,6,5,3,1,4,2]=>[1,7,2,6,4,3,5]=>[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>000000
[7,6,5,3,2,1,4]=>[1,7,4,3,5,2,6]=>[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>000000
[7,6,5,3,2,4,1]=>[1,7,2,6,4,3,5]=>[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>000000
[7,6,5,3,4,1,2]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>000000
[7,6,5,3,4,2,1]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>000000
[7,6,5,4,1,2,3]=>[1,7,3,5,2,6,4]=>[1,5,7,6,3,2,4]=>[7,3,1,2,5,6,4]=>000000
[7,6,5,4,1,3,2]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>000000
[7,6,5,4,2,1,3]=>[1,7,3,5,2,6,4]=>[1,5,7,6,3,2,4]=>[7,3,1,2,5,6,4]=>000000
[7,6,5,4,2,3,1]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>000000
[7,6,5,4,3,1,2]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>000000
[7,6,5,4,3,2,1]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>000000
[8,7,6,5,4,3,2,1]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>0000000
[7,8,6,5,4,3,2,1]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[8,2,1,3,5,6,7,4]=>0000000
[6,7,8,5,4,3,2,1]=>[1,6,3,8,2,7,4,5]=>[1,8,6,7,4,3,2,5]=>[8,1,3,2,5,6,7,4]=>0000000
[8,7,6,4,5,3,2,1]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>0000000
[7,6,5,4,8,3,2,1]=>[1,7,2,6,3,5,8,4]=>[1,7,6,8,3,2,5,4]=>[8,2,3,1,6,7,4,5]=>0000000
[6,7,5,4,8,3,2,1]=>[1,6,3,5,8,2,7,4]=>[1,8,6,7,3,5,2,4]=>[8,1,3,2,6,4,7,5]=>0000000
[5,6,7,4,8,3,2,1]=>[1,5,8,2,6,3,7,4]=>[1,8,6,7,5,2,3,4]=>[8,1,3,2,4,7,6,5]=>0000000
[7,5,4,6,8,3,2,1]=>[1,7,2,5,8,3,4,6]=>[1,7,8,3,2,4,5,6]=>[8,2,1,6,7,5,4,3]=>0000000
[5,4,6,7,8,3,2,1]=>[1,5,8,2,4,7,3,6]=>[1,8,7,2,5,3,4,6]=>[8,1,2,7,4,6,5,3]=>0000000
[4,5,6,7,8,3,2,1]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,3,5,6]=>[8,2,1,5,7,6,4,3]=>0000000
[8,7,6,5,3,4,2,1]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>0000000
[7,8,6,5,3,4,2,1]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[8,2,1,3,5,6,7,4]=>0000000
[8,5,6,7,3,4,2,1]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[8,1,4,3,7,6,5,2]=>0000000
[6,7,8,4,3,5,2,1]=>[1,6,5,3,8,2,7,4]=>[1,8,5,6,7,4,2,3]=>[8,1,4,3,2,5,7,6]=>0000000
[8,6,7,3,4,5,2,1]=>[1,8,2,6,5,4,3,7]=>[1,8,4,5,6,2,3,7]=>[8,1,5,4,3,7,6,2]=>0000000
[6,7,8,3,4,5,2,1]=>[1,6,5,4,3,8,2,7]=>[1,8,4,5,6,3,2,7]=>[8,1,5,4,3,6,7,2]=>0000000
[7,6,5,4,3,8,2,1]=>[1,7,2,6,8,3,5,4]=>[1,7,8,5,3,2,6,4]=>[8,2,1,4,6,7,3,5]=>0000000
[8,7,6,5,4,2,3,1]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>0000000
[8,7,6,4,5,2,3,1]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>0000000
[8,5,6,7,3,2,4,1]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[8,1,4,3,7,6,5,2]=>0000000
[5,6,7,8,3,2,4,1]=>[1,5,3,7,4,8,2,6]=>[1,8,5,7,3,2,4,6]=>[8,1,4,2,6,7,5,3]=>0000000
[6,7,8,5,2,3,4,1]=>[1,6,3,8,2,7,4,5]=>[1,8,6,7,4,3,2,5]=>[8,1,3,2,5,6,7,4]=>0000000
[8,5,6,7,2,3,4,1]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[8,1,4,3,7,6,5,2]=>0000000
[6,5,7,8,2,3,4,1]=>[1,6,3,7,4,8,2,5]=>[1,8,6,7,2,3,4,5]=>[8,1,3,2,7,6,5,4]=>0000000
[8,6,7,4,3,2,5,1]=>[1,8,2,6,3,7,5,4]=>[1,8,6,5,7,2,3,4]=>[8,1,3,4,2,7,6,5]=>0000000
[8,6,7,3,4,2,5,1]=>[1,8,2,6,3,7,5,4]=>[1,8,6,5,7,2,3,4]=>[8,1,3,4,2,7,6,5]=>0000000
[7,6,8,3,4,2,5,1]=>[1,7,5,4,3,8,2,6]=>[1,8,4,5,7,2,3,6]=>[8,1,5,4,2,7,6,3]=>0000000
[8,7,5,3,2,4,6,1]=>[1,8,2,7,6,4,3,5]=>[1,8,4,6,3,7,2,5]=>[8,1,5,3,6,2,7,4]=>0000000
[8,5,6,3,4,2,7,1]=>[1,8,2,5,4,3,6,7]=>[1,8,4,5,2,3,6,7]=>[8,1,5,4,7,6,3,2]=>0000000
[8,5,6,4,2,3,7,1]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[8,1,4,3,7,6,5,2]=>0000000
[4,5,6,7,3,2,8,1]=>[1,4,7,8,2,5,3,6]=>[1,8,5,4,2,3,7,6]=>[8,1,4,5,7,6,2,3]=>0000000
[7,5,6,3,4,2,8,1]=>[1,7,8,2,5,4,3,6]=>[1,8,4,5,2,3,7,6]=>[8,1,5,4,7,6,2,3]=>0000000
[5,6,7,4,2,3,8,1]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>[8,4,3,1,7,6,2,5]=>0000000
[4,5,6,7,2,3,8,1]=>[1,4,7,8,2,5,3,6]=>[1,8,5,4,2,3,7,6]=>[8,1,4,5,7,6,2,3]=>0000000
[7,5,2,3,4,6,8,1]=>[1,7,8,2,5,4,3,6]=>[1,8,4,5,2,3,7,6]=>[8,1,5,4,7,6,2,3]=>0000000
[5,4,3,6,2,7,8,1]=>[1,5,2,4,6,7,8,3]=>[1,5,8,2,4,6,7,3]=>[8,4,1,7,5,3,2,6]=>0000000
[5,4,6,2,3,7,8,1]=>[1,5,3,6,7,8,2,4]=>[1,8,5,2,3,6,7,4]=>[8,1,4,7,6,3,2,5]=>0000000
[3,2,4,5,6,7,8,1]=>[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>0000000
[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[8,7,6,5,4,3,1,2]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>0000000
[7,8,6,5,4,3,1,2]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[8,2,1,3,5,6,7,4]=>0000000
[7,8,6,4,5,3,1,2]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[8,2,1,3,5,6,7,4]=>0000000
[4,5,6,7,8,3,1,2]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,3,5,6]=>[8,2,1,5,7,6,4,3]=>0000000
[8,7,6,5,3,4,1,2]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>0000000
[7,8,6,5,3,4,1,2]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[8,2,1,3,5,6,7,4]=>0000000
[8,5,6,7,3,4,1,2]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[8,1,4,3,7,6,5,2]=>0000000
[6,5,7,8,3,4,1,2]=>[1,6,4,8,2,5,3,7]=>[1,8,5,6,2,4,3,7]=>[8,1,4,3,7,5,6,2]=>0000000
[7,6,5,4,3,8,1,2]=>[1,7,2,6,8,3,5,4]=>[1,7,8,5,3,2,6,4]=>[8,2,1,4,6,7,3,5]=>0000000
[7,5,4,6,3,8,1,2]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[8,2,4,6,7,5,3,1]=>0000000
[4,5,6,7,8,2,1,3]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,3,5,6]=>[8,2,1,5,7,6,4,3]=>0000000
[8,7,5,4,6,1,2,3]=>[1,8,3,5,6,2,7,4]=>[1,6,8,7,3,5,2,4]=>[8,3,1,2,6,4,7,5]=>0000000
[7,6,5,4,8,1,2,3]=>[1,7,2,6,3,5,8,4]=>[1,7,6,8,3,2,5,4]=>[8,2,3,1,6,7,4,5]=>0000000
[7,5,4,6,8,1,2,3]=>[1,7,2,5,8,3,4,6]=>[1,7,8,3,2,4,5,6]=>[8,2,1,6,7,5,4,3]=>0000000
[4,5,6,7,8,1,2,3]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,3,5,6]=>[8,2,1,5,7,6,4,3]=>0000000
[7,8,6,5,3,2,1,4]=>[1,7,2,8,4,5,3,6]=>[1,7,5,8,4,3,2,6]=>[8,2,4,1,5,6,7,3]=>0000000
[8,7,5,6,3,2,1,4]=>[1,8,4,6,2,7,3,5]=>[1,6,7,8,3,4,2,5]=>[8,3,2,1,6,5,7,4]=>0000000
[8,5,6,7,3,2,1,4]=>[1,8,4,7,2,5,3,6]=>[1,7,5,8,2,3,4,6]=>[8,2,4,1,7,6,5,3]=>0000000
[8,7,6,5,2,3,1,4]=>[1,8,4,5,2,7,3,6]=>[1,5,7,8,4,3,2,6]=>[8,4,2,1,5,6,7,3]=>0000000
[7,8,6,5,2,3,1,4]=>[1,7,2,8,4,5,3,6]=>[1,7,5,8,4,3,2,6]=>[8,2,4,1,5,6,7,3]=>0000000
[8,5,6,7,2,3,1,4]=>[1,8,4,7,2,5,3,6]=>[1,7,5,8,2,3,4,6]=>[8,2,4,1,7,6,5,3]=>0000000
[7,8,6,5,3,1,2,4]=>[1,7,2,8,4,5,3,6]=>[1,7,5,8,4,3,2,6]=>[8,2,4,1,5,6,7,3]=>0000000
[8,7,6,5,2,1,3,4]=>[1,8,4,5,2,7,3,6]=>[1,5,7,8,4,3,2,6]=>[8,4,2,1,5,6,7,3]=>0000000
[8,5,6,7,2,1,3,4]=>[1,8,4,7,3,6,2,5]=>[1,6,7,8,2,3,4,5]=>[8,3,2,1,7,6,5,4]=>0000000
[8,7,6,5,1,2,3,4]=>[1,8,4,5,2,7,3,6]=>[1,5,7,8,4,3,2,6]=>[8,4,2,1,5,6,7,3]=>0000000
[7,8,6,5,1,2,3,4]=>[1,7,3,6,2,8,4,5]=>[1,6,7,8,4,3,2,5]=>[8,3,2,1,5,6,7,4]=>0000000
[8,7,5,6,1,2,3,4]=>[1,8,4,6,2,7,3,5]=>[1,6,7,8,3,4,2,5]=>[8,3,2,1,6,5,7,4]=>0000000
[8,5,6,7,1,2,3,4]=>[1,8,4,7,3,6,2,5]=>[1,6,7,8,2,3,4,5]=>[8,3,2,1,7,6,5,4]=>0000000
[6,7,8,2,3,4,1,5]=>[1,6,4,2,7,3,8,5]=>[1,4,6,7,8,3,2,5]=>[8,5,3,2,1,6,7,4]=>0000000
[7,8,5,4,3,2,1,6]=>[1,7,2,8,6,3,5,4]=>[1,7,6,5,3,8,2,4]=>[8,2,3,4,6,1,7,5]=>0000000
[7,8,3,4,5,2,1,6]=>[1,7,2,8,6,3,4,5]=>[1,7,6,3,4,8,2,5]=>[8,2,3,6,5,1,7,4]=>0000000
[7,8,4,5,2,3,1,6]=>[1,7,2,8,6,3,4,5]=>[1,7,6,3,4,8,2,5]=>[8,2,3,6,5,1,7,4]=>0000000
[7,8,5,4,3,1,2,6]=>[1,7,2,8,6,3,5,4]=>[1,7,6,5,3,8,2,4]=>[8,2,3,4,6,1,7,5]=>0000000
[7,8,5,3,4,1,2,6]=>[1,7,2,8,6,3,5,4]=>[1,7,6,5,3,8,2,4]=>[8,2,3,4,6,1,7,5]=>0000000
[7,8,5,2,1,3,4,6]=>[1,7,4,2,8,6,3,5]=>[1,4,7,6,2,8,3,5]=>[8,5,2,3,7,1,6,4]=>0000000
[7,8,5,1,2,3,4,6]=>[1,7,4,2,8,6,3,5]=>[1,4,7,6,2,8,3,5]=>[8,5,2,3,7,1,6,4]=>0000000
[7,8,2,1,3,4,5,6]=>[1,7,5,3,2,8,6,4]=>[1,3,5,7,6,8,4,2]=>[8,6,4,2,3,1,5,7]=>0000000
[7,8,1,2,3,4,5,6]=>[1,7,5,3,2,8,6,4]=>[1,3,5,7,6,8,4,2]=>[8,6,4,2,3,1,5,7]=>0000000
[8,5,6,4,3,2,1,7]=>[1,8,7,2,5,3,6,4]=>[1,7,5,6,2,3,8,4]=>[8,2,4,3,7,6,1,5]=>0000000
[8,5,6,3,4,2,1,7]=>[1,8,7,2,5,4,3,6]=>[1,7,4,5,2,3,8,6]=>[8,2,5,4,7,6,1,3]=>0000000
[8,3,4,5,6,2,1,7]=>[1,8,7,2,3,4,5,6]=>[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>0000000
[8,5,6,4,2,3,1,7]=>[1,8,7,2,5,3,6,4]=>[1,7,5,6,2,3,8,4]=>[8,2,4,3,7,6,1,5]=>0000000
[8,5,6,2,3,4,1,7]=>[1,8,7,2,5,3,6,4]=>[1,7,5,6,2,3,8,4]=>[8,2,4,3,7,6,1,5]=>0000000
[8,5,2,3,4,6,1,7]=>[1,8,7,2,5,4,3,6]=>[1,7,4,5,2,3,8,6]=>[8,2,5,4,7,6,1,3]=>0000000
[8,5,6,3,4,1,2,7]=>[1,8,7,2,5,4,3,6]=>[1,7,4,5,2,3,8,6]=>[8,2,5,4,7,6,1,3]=>0000000
[8,4,3,5,6,1,2,7]=>[1,8,7,2,4,5,6,3]=>[1,7,6,2,4,5,8,3]=>[8,2,3,7,5,4,1,6]=>0000000
[8,3,4,5,6,1,2,7]=>[1,8,7,2,3,4,5,6]=>[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>0000000
[8,5,6,4,2,1,3,7]=>[1,8,7,3,6,2,5,4]=>[1,6,7,5,2,3,8,4]=>[8,3,2,4,7,6,1,5]=>0000000
[8,5,6,4,1,2,3,7]=>[1,8,7,3,6,2,5,4]=>[1,6,7,5,2,3,8,4]=>[8,3,2,4,7,6,1,5]=>0000000
[8,2,3,4,1,5,6,7]=>[1,8,7,6,5,2,3,4]=>[1,5,2,3,6,7,8,4]=>[8,4,7,6,3,2,1,5]=>0000000
[8,3,4,1,2,5,6,7]=>[1,8,7,6,5,2,3,4]=>[1,5,2,3,6,7,8,4]=>[8,4,7,6,3,2,1,5]=>0000000
[8,1,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,2]=>[8,6,5,4,3,2,1,7]=>0000000
[7,3,4,5,6,2,1,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[5,6,7,3,2,4,1,8]=>[1,5,2,6,4,3,7,8]=>[1,5,4,6,2,3,7,8]=>[8,4,5,3,7,6,2,1]=>0000000
[6,7,3,2,4,5,1,8]=>[1,6,5,4,2,7,3,8]=>[1,4,5,6,7,2,3,8]=>[8,5,4,3,2,7,6,1]=>0000000
[7,5,3,4,2,6,1,8]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[8,2,4,6,7,5,3,1]=>0000000
[5,4,3,2,6,7,1,8]=>[1,5,6,7,2,4,3,8]=>[1,7,4,2,5,6,3,8]=>[8,2,5,7,4,3,6,1]=>0000000
[7,3,1,2,4,5,6,8]=>[1,7,6,5,4,2,3,8]=>[1,4,2,5,6,7,3,8]=>[8,5,7,4,3,2,6,1]=>0000000
[5,6,3,2,1,4,7,8]=>[1,5,2,6,4,3,7,8]=>[1,5,4,6,2,3,7,8]=>[8,4,5,3,7,6,2,1]=>0000000
[2,3,4,5,1,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[3,2,4,1,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[2,3,4,1,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[2,3,1,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[2,1,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[5,7,6,8,4,3,2,1]=>[1,5,4,8,2,7,3,6]=>[1,8,7,5,4,3,2,6]=>[8,1,2,4,5,6,7,3]=>0000000
[4,6,7,8,5,3,2,1]=>[1,4,8,2,6,3,7,5]=>[1,8,6,4,7,2,3,5]=>[8,1,3,5,2,7,6,4]=>0000000
[4,6,5,8,7,3,2,1]=>[1,4,8,2,6,3,5,7]=>[1,8,6,4,3,2,5,7]=>[8,1,3,5,6,7,4,2]=>0000000
[3,5,6,8,7,4,2,1]=>[1,3,6,4,8,2,5,7]=>[1,8,3,6,2,4,5,7]=>[8,1,6,3,7,5,4,2]=>0000000
[4,3,6,7,8,5,2,1]=>[1,4,7,2,3,6,5,8]=>[1,7,2,4,6,3,5,8]=>[8,2,7,5,3,6,4,1]=>0000000
[3,4,8,7,6,5,2,1]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[8,1,6,7,2,4,5,3]=>0000000
[5,4,3,7,8,6,2,1]=>[1,5,8,2,4,7,3,6]=>[1,8,7,2,5,3,4,6]=>[8,1,2,7,4,6,5,3]=>0000000
[4,5,3,7,8,6,2,1]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,3,5,6]=>[8,2,1,5,7,6,4,3]=>0000000
[4,3,5,7,8,6,2,1]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>[8,2,7,5,6,1,4,3]=>0000000
[4,5,3,6,8,7,2,1]=>[1,4,6,7,2,5,8,3]=>[1,7,8,4,2,6,5,3]=>[8,2,1,5,7,3,4,6]=>0000000
[5,7,6,4,3,8,2,1]=>[1,5,3,6,8,2,7,4]=>[1,8,5,7,3,6,2,4]=>[8,1,4,2,6,3,7,5]=>0000000
[4,7,6,5,3,8,2,1]=>[1,4,5,3,6,8,2,7]=>[1,8,5,4,3,6,2,7]=>[8,1,4,5,6,3,7,2]=>0000000
[4,3,5,7,6,8,2,1]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>0000000
[2,4,8,7,6,5,3,1]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]=>[8,7,2,5,1,4,6,3]=>0000000
[2,5,4,8,7,6,3,1]=>[1,2,5,7,3,4,8,6]=>[1,2,7,3,5,8,4,6]=>[8,7,2,6,4,1,5,3]=>0000000
[2,4,5,7,8,6,3,1]=>[1,2,4,7,3,5,8,6]=>[1,2,7,4,3,8,5,6]=>[8,7,2,5,6,1,4,3]=>0000000
[2,5,6,4,8,7,3,1]=>[1,2,5,8,3,6,7,4]=>[1,2,8,7,5,3,6,4]=>[8,7,1,2,4,6,3,5]=>0000000
[2,7,6,5,4,8,3,1]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>[8,7,2,1,5,6,3,4]=>0000000
[2,4,7,6,5,8,3,1]=>[1,2,4,6,8,3,7,5]=>[1,2,8,4,7,6,3,5]=>[8,7,1,5,2,3,6,4]=>0000000
[3,2,8,7,6,5,4,1]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[8,1,6,7,2,4,5,3]=>0000000
[2,3,8,7,6,5,4,1]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>0000000
[2,3,6,7,8,5,4,1]=>[1,2,3,6,5,8,4,7]=>[1,2,3,8,6,5,4,7]=>[8,7,6,1,3,4,5,2]=>0000000
[2,3,5,7,8,6,4,1]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[8,7,6,1,4,2,5,3]=>0000000
[3,4,2,7,8,6,5,1]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[8,6,7,5,2,1,4,3]=>0000000
[3,2,4,8,7,6,5,1]=>[1,3,4,8,2,5,7,6]=>[1,8,3,4,2,7,5,6]=>[8,1,6,5,7,2,4,3]=>0000000
[5,4,3,2,8,7,6,1]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[8,1,5,7,4,6,3,2]=>0000000
[2,3,5,4,8,7,6,1]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>0000000
[3,5,6,4,2,8,7,1]=>[1,3,6,8,2,5,4,7]=>[1,8,3,5,2,6,4,7]=>[8,1,6,4,7,3,5,2]=>0000000
[2,5,4,3,6,8,7,1]=>[1,2,5,6,8,3,4,7]=>[1,2,8,3,5,6,4,7]=>[8,7,1,6,4,3,5,2]=>0000000
[3,6,5,4,7,2,8,1]=>[1,3,5,7,8,2,6,4]=>[1,8,3,6,5,2,7,4]=>[8,1,6,3,4,7,2,5]=>0000000
[2,4,6,5,7,3,8,1]=>[1,2,4,5,7,8,3,6]=>[1,2,8,4,5,3,7,6]=>[8,7,1,5,4,6,2,3]=>0000000
[2,3,7,6,5,4,8,1]=>[1,2,3,7,8,4,6,5]=>[1,2,3,8,6,4,7,5]=>[8,7,6,1,3,5,2,4]=>0000000
[2,3,5,7,6,4,8,1]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>0000000
[4,3,2,7,6,5,8,1]=>[1,4,7,8,2,3,5,6]=>[1,8,2,4,3,5,7,6]=>[8,1,7,5,6,4,2,3]=>0000000
[3,4,2,7,6,5,8,1]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,5,7,6]=>[8,6,7,5,1,4,2,3]=>0000000
[2,3,4,7,6,5,8,1]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>0000000
[3,2,5,4,7,6,8,1]=>[1,3,5,7,8,2,4,6]=>[1,8,3,2,5,4,7,6]=>[8,1,6,7,4,5,2,3]=>0000000
[2,3,5,4,7,6,8,1]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[8,7,6,1,4,5,2,3]=>0000000
[2,4,3,5,7,6,8,1]=>[1,2,4,5,7,8,3,6]=>[1,2,8,4,5,3,7,6]=>[8,7,1,5,4,6,2,3]=>0000000
[3,5,6,4,2,7,8,1]=>[1,3,6,7,8,2,5,4]=>[1,8,3,5,2,6,7,4]=>[8,1,6,4,7,3,2,5]=>0000000
[2,3,6,5,4,7,8,1]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[8,7,6,1,5,3,2,4]=>0000000
[3,5,4,2,6,7,8,1]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[2,4,5,3,6,7,8,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[2,3,5,4,6,7,8,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>0000000
[1,7,8,6,5,4,3,2]=>[1,2,7,3,8,4,6,5]=>[1,2,7,8,6,4,3,5]=>[8,7,2,1,3,5,6,4]=>0000000
[1,6,8,7,5,4,3,2]=>[1,2,6,4,7,3,8,5]=>[1,2,7,6,8,4,3,5]=>[8,7,2,3,1,5,6,4]=>0000000
[1,5,7,6,8,4,3,2]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[8,7,1,2,4,5,6,3]=>0000000
[1,4,8,7,6,5,3,2]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]=>[8,7,2,5,1,4,6,3]=>0000000
[1,4,7,8,6,5,3,2]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[8,7,1,5,2,4,6,3]=>0000000
[1,4,5,7,8,6,3,2]=>[1,2,4,7,3,5,8,6]=>[1,2,7,4,3,8,5,6]=>[8,7,2,5,6,1,4,3]=>0000000
[1,4,7,6,5,8,3,2]=>[1,2,4,6,8,3,7,5]=>[1,2,8,4,7,6,3,5]=>[8,7,1,5,2,3,6,4]=>0000000
[1,3,8,7,6,5,4,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>0000000
[1,3,6,8,7,5,4,2]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>0000000
[1,3,6,7,8,5,4,2]=>[1,2,3,6,5,8,4,7]=>[1,2,3,8,6,5,4,7]=>[8,7,6,1,3,4,5,2]=>0000000
[1,3,5,7,8,6,4,2]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[8,7,6,1,4,2,5,3]=>0000000
[1,3,5,7,6,8,4,2]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[8,7,6,1,4,3,5,2]=>0000000
[1,3,6,5,7,8,4,2]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000
[1,3,5,4,7,8,6,2]=>[1,2,3,5,7,6,8,4]=>[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>0000000
[1,3,6,5,4,8,7,2]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000
[1,5,4,3,6,8,7,2]=>[1,2,5,6,8,3,4,7]=>[1,2,8,3,5,6,4,7]=>[8,7,1,6,4,3,5,2]=>0000000
[1,6,7,5,4,3,8,2]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>[8,7,3,1,5,6,2,4]=>0000000
[1,3,5,7,6,4,8,2]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>0000000
[1,3,4,7,6,5,8,2]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>0000000
[1,3,5,4,7,6,8,2]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[8,7,6,1,4,5,2,3]=>0000000
[2,1,8,7,6,5,4,3]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>0000000
[2,1,6,8,7,5,4,3]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>0000000
[2,1,6,7,8,5,4,3]=>[1,2,3,6,5,8,4,7]=>[1,2,3,8,6,5,4,7]=>[8,7,6,1,3,4,5,2]=>0000000
[2,1,5,7,8,6,4,3]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[8,7,6,1,4,2,5,3]=>0000000
[2,1,6,7,5,8,4,3]=>[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,4,5]=>[8,7,6,1,2,3,5,4]=>0000000
[2,1,6,5,7,8,4,3]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000
[2,1,4,7,8,6,5,3]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>0000000
[2,1,4,6,8,7,5,3]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>0000000
[2,1,5,7,6,4,8,3]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>0000000
[2,1,5,6,7,4,8,3]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[8,7,6,1,4,5,2,3]=>0000000
[2,1,4,7,6,5,8,3]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>0000000
[2,1,5,4,7,6,8,3]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[8,7,6,1,4,5,2,3]=>0000000
[2,1,4,5,6,7,8,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,8,7,6,5,4,3]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>0000000
[1,2,6,7,8,5,4,3]=>[1,2,3,6,5,8,4,7]=>[1,2,3,8,6,5,4,7]=>[8,7,6,1,3,4,5,2]=>0000000
[1,2,5,7,6,8,4,3]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[8,7,6,1,4,3,5,2]=>0000000
[1,2,6,5,7,8,4,3]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000
[1,2,4,7,8,6,5,3]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>0000000
[1,2,4,6,8,7,5,3]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>0000000
[1,2,5,4,8,7,6,3]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>0000000
[1,2,5,4,7,8,6,3]=>[1,2,3,5,7,6,8,4]=>[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>0000000
[1,2,6,5,4,8,7,3]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000
[1,2,5,4,6,8,7,3]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[8,7,6,1,4,3,5,2]=>0000000
[1,2,5,7,6,4,8,3]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>0000000
[1,2,5,6,7,4,8,3]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[8,7,6,1,4,5,2,3]=>0000000
[1,2,4,7,6,5,8,3]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>0000000
[1,2,6,5,4,7,8,3]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[8,7,6,1,5,3,2,4]=>0000000
[3,2,1,7,8,6,5,4]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[8,6,7,5,2,1,4,3]=>0000000
[3,2,1,5,7,8,6,4]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[3,2,1,7,6,5,8,4]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,5,7,6]=>[8,6,7,5,1,4,2,3]=>0000000
[2,3,1,6,8,7,5,4]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>0000000
[2,3,1,5,6,7,8,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,3,2,6,8,7,5,4]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>0000000
[1,3,2,7,6,5,8,4]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>0000000
[2,1,3,7,8,6,5,4]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>0000000
[2,1,3,6,8,7,5,4]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>0000000
[1,2,3,7,8,6,5,4]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>0000000
[1,2,3,6,8,7,5,4]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>0000000
[1,2,3,7,6,5,8,4]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>0000000
[1,2,3,5,6,7,8,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[3,4,2,1,7,8,6,5]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[2,4,3,1,6,7,8,5]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[3,2,4,1,7,8,6,5]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>0000000
[3,2,4,1,7,6,8,5]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>0000000
[3,2,4,1,6,7,8,5]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[2,3,4,1,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,4,3,2,6,7,8,5]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[1,3,4,2,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[2,1,4,3,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,4,3,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[3,2,1,4,7,8,6,5]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[2,3,1,4,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,3,2,4,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[2,1,3,4,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,3,4,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[3,5,4,2,1,7,8,6]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[3,4,5,2,1,8,7,6]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]=>[8,4,6,7,5,3,1,2]=>0000000
[3,2,5,4,1,8,7,6]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]=>[8,4,6,7,5,3,1,2]=>0000000
[1,3,4,5,2,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,4,5,3,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,3,2,5,4,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,3,5,4,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[3,2,4,1,5,7,8,6]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[2,3,4,1,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,4,3,2,5,7,8,6]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[1,3,4,2,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,4,3,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[2,3,1,4,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,3,2,4,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[3,6,5,4,2,1,8,7]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[8,4,6,3,7,5,2,1]=>0000000
[3,5,4,2,6,1,8,7]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[2,4,5,3,6,1,8,7]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[2,3,4,5,6,1,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[2,1,5,4,6,3,8,7]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>0000000
[2,1,4,5,6,3,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,3,5,6,4,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[2,4,3,1,6,5,8,7]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[3,2,4,1,6,5,8,7]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[2,3,4,1,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[2,1,4,3,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,4,3,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,3,2,4,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[2,1,3,4,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,3,4,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[3,5,4,2,1,6,8,7]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[2,4,5,3,1,6,8,7]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[1,3,4,5,2,6,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[2,1,4,5,3,6,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[2,1,3,5,4,6,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[3,2,4,1,5,6,8,7]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[2,3,4,1,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,4,3,2,5,6,8,7]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[1,3,4,2,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[2,1,4,3,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,4,3,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[2,1,3,4,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[4,3,5,7,6,2,1,8]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>0000000
[2,3,6,7,5,4,1,8]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>0000000
[2,3,5,7,6,4,1,8]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>0000000
[3,5,4,2,7,6,1,8]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>0000000
[3,6,5,4,2,7,1,8]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>0000000
[3,5,4,2,6,7,1,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[1,3,5,7,6,4,2,8]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>0000000
[1,3,4,5,6,7,2,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,5,7,6,4,3,8]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>0000000
[3,2,1,5,7,6,4,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[2,3,1,6,5,7,4,8]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>0000000
[2,3,1,5,6,7,4,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,3,2,6,5,7,4,8]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>0000000
[1,3,2,5,6,7,4,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,3,6,5,7,4,8]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>0000000
[1,2,3,5,6,7,4,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[3,2,4,1,7,6,5,8]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>0000000
[3,2,4,1,6,7,5,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[2,3,4,1,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,4,3,2,6,7,5,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[1,3,4,2,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[2,1,4,3,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,4,3,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[3,2,1,4,7,6,5,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[2,3,1,4,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,3,4,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[3,5,4,2,1,7,6,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[2,4,5,3,1,7,6,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[1,3,4,5,2,7,6,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[2,3,1,5,4,7,6,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,3,2,5,4,7,6,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,3,5,4,7,6,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[3,2,4,1,5,7,6,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[2,3,4,1,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,4,3,2,5,7,6,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[1,3,4,2,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,3,2,4,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[3,6,5,4,2,1,7,8]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[8,4,6,3,7,5,2,1]=>0000000
[3,5,4,2,6,1,7,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[1,2,4,5,6,3,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,3,2,5,6,4,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,3,5,6,4,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[3,2,4,1,6,5,7,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[2,3,4,1,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[2,1,4,3,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,4,3,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,3,2,4,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[2,1,3,4,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,3,4,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[3,5,4,2,1,6,7,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[2,4,5,3,1,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[1,3,4,5,2,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,3,2,5,4,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,3,5,4,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[2,4,3,1,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[1,4,3,2,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[1,3,4,2,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[2,1,4,3,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,4,3,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,3,2,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000
[1,2,3,7,5,6,8,4]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>0000000
[1,2,3,8,5,6,7,4]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[1,2,3,8,5,7,6,4]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[1,2,3,8,6,5,7,4]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[1,2,3,8,6,7,5,4]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[1,2,4,8,5,6,7,3]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[1,2,4,8,6,5,7,3]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[1,2,5,4,8,6,7,3]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>0000000
[1,2,6,4,5,8,7,3]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000
[1,2,8,4,5,6,7,3]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[1,2,8,4,6,7,5,3]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[1,2,8,4,7,6,5,3]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>0000000
[1,2,7,5,4,6,8,3]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000
[1,2,8,5,4,6,7,3]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[1,2,8,5,4,7,6,3]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[1,2,8,6,5,4,7,3]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>0000000
[1,2,8,7,5,6,4,3]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>0000000
[1,3,2,7,5,6,8,4]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>0000000
[1,3,2,8,5,7,6,4]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[1,3,4,8,5,6,7,2]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[1,3,6,4,5,8,7,2]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000
[1,3,8,4,5,6,7,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[1,3,8,4,6,5,7,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[1,3,8,4,6,7,5,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[1,3,8,5,4,6,7,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[1,3,8,5,4,7,6,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[1,3,8,5,6,7,4,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[1,3,8,5,7,6,4,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>0000000
[1,3,8,6,5,7,4,2]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[8,7,6,1,2,5,3,4]=>0000000
[1,3,8,7,5,6,4,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>0000000
[1,4,3,8,5,6,7,2]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>0000000
[1,4,3,8,5,7,6,2]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>0000000
[1,4,3,8,6,7,5,2]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>0000000
[1,8,3,4,6,7,5,2]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[1,6,3,5,4,2,7,8]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[1,8,3,5,4,7,6,2]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[1,8,3,5,6,4,7,2]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[1,6,4,3,5,2,7,8]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[1,8,4,3,5,6,7,2]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[1,8,4,3,5,7,6,2]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[1,8,4,3,6,7,5,2]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[1,8,4,5,6,3,7,2]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[1,8,4,5,6,7,3,2]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[1,7,5,4,3,6,8,2]=>[1,2,7,8,3,5,4,6]=>[1,2,8,5,3,4,7,6]=>[8,7,1,4,6,5,2,3]=>0000000
[1,8,5,4,7,6,3,2]=>[1,2,8,3,5,7,4,6]=>[1,2,8,7,3,4,5,6]=>[8,7,1,2,6,5,4,3]=>0000000
[1,8,7,4,5,6,3,2]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[8,7,1,2,5,4,6,3]=>0000000
[1,8,7,4,6,5,3,2]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[8,7,1,2,5,4,6,3]=>0000000
[1,8,7,5,4,6,3,2]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[8,7,1,2,5,4,6,3]=>0000000
[1,8,7,5,6,4,3,2]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[8,7,1,2,5,4,6,3]=>0000000
[2,1,4,8,5,6,7,3]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[2,1,4,8,5,7,6,3]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[2,1,4,8,6,5,7,3]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[2,1,4,8,6,7,5,3]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[2,1,5,4,8,6,7,3]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>0000000
[2,1,6,4,5,7,8,3]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[8,7,6,1,5,3,2,4]=>0000000
[2,1,6,4,5,8,7,3]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000
[2,1,8,4,5,6,7,3]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[2,1,8,4,5,7,6,3]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[2,1,8,4,6,5,7,3]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[2,1,8,4,6,7,5,3]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[2,1,8,4,7,6,5,3]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>0000000
[2,1,7,5,4,6,8,3]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000
[2,1,8,5,4,6,7,3]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[2,1,8,5,4,7,6,3]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[2,1,7,5,6,4,8,3]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000
[2,1,8,5,6,4,7,3]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[2,1,8,5,7,6,4,3]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>0000000
[2,1,8,7,5,6,4,3]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>0000000
[2,3,1,8,5,6,7,4]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[2,3,1,8,6,7,5,4]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[2,3,4,7,5,6,8,1]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>0000000
[2,3,4,8,5,6,7,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[2,3,4,8,5,7,6,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[2,3,4,8,6,5,7,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[2,3,4,8,6,7,5,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[2,3,6,4,5,7,8,1]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[8,7,6,1,5,3,2,4]=>0000000
[2,3,7,4,5,6,8,1]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000
[2,3,8,4,5,6,7,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[2,3,7,4,6,5,8,1]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000
[2,3,7,5,4,6,8,1]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000
[2,3,7,5,6,4,8,1]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000
[2,3,8,5,7,6,4,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>0000000
[2,4,3,8,5,6,7,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>0000000
[2,4,3,8,6,7,5,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>0000000
[2,6,3,4,5,7,8,1]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[8,7,1,6,5,3,2,4]=>0000000
[2,6,3,5,4,1,7,8]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[2,6,3,5,4,1,8,7]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[2,6,3,5,4,7,8,1]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[8,7,1,6,5,3,2,4]=>0000000
[2,6,4,3,5,7,8,1]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[8,7,1,6,5,3,2,4]=>0000000
[2,8,4,3,5,6,7,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[2,6,4,5,3,1,7,8]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[2,6,4,5,3,1,8,7]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[2,6,4,5,3,7,8,1]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[8,7,1,6,5,3,2,4]=>0000000
[2,7,5,4,3,6,8,1]=>[1,2,7,8,3,5,4,6]=>[1,2,8,5,3,4,7,6]=>[8,7,1,4,6,5,2,3]=>0000000
[2,8,5,4,7,6,3,1]=>[1,2,8,3,5,7,4,6]=>[1,2,8,7,3,4,5,6]=>[8,7,1,2,6,5,4,3]=>0000000
[2,8,7,5,4,6,3,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[8,7,1,2,5,4,6,3]=>0000000
[2,8,7,5,6,4,3,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[8,7,1,2,5,4,6,3]=>0000000
[3,2,1,7,5,6,8,4]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,5,7,6]=>[8,6,7,5,1,4,2,3]=>0000000
[3,2,1,8,5,6,7,4]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>0000000
[3,2,1,8,5,7,6,4]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>0000000
[3,2,1,8,6,5,7,4]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>0000000
[3,2,1,8,6,7,5,4]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>0000000
[3,2,8,5,4,6,7,1]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>0000000
[3,2,8,5,6,4,7,1]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>0000000
[4,2,3,7,5,6,1,8]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>0000000
[4,2,3,8,5,6,7,1]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>0000000
[4,2,3,7,6,5,8,1]=>[1,4,7,8,2,3,5,6]=>[1,8,2,4,3,5,7,6]=>[8,1,7,5,6,4,2,3]=>0000000
[4,2,3,8,6,7,5,1]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>0000000
[5,2,3,4,1,8,7,6]=>[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>0000000
[8,2,3,5,4,7,6,1]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000
[7,2,3,5,6,4,1,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[8,2,3,5,6,7,4,1]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000
[8,2,3,7,5,6,4,1]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[8,2,3,7,6,5,4,1]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[5,2,4,3,1,8,7,6]=>[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>0000000
[7,2,4,3,6,5,1,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[7,2,4,3,6,5,8,1]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[8,1,7,6,5,4,2,3]=>0000000
[8,2,4,3,6,5,7,1]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000
[7,2,4,5,3,6,1,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[7,2,4,5,3,6,8,1]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[8,1,7,6,5,4,2,3]=>0000000
[8,2,4,7,5,6,3,1]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[8,2,4,7,6,5,3,1]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[8,2,5,4,3,7,6,1]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[8,1,7,4,6,5,3,2]=>0000000
[8,2,5,4,7,6,3,1]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[8,1,7,2,6,5,4,3]=>0000000
[8,2,6,4,5,7,3,1]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>[8,1,7,2,5,6,3,4]=>0000000
[8,2,7,4,5,6,3,1]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>0000000
[8,2,7,4,6,5,3,1]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>0000000
[8,2,7,5,4,6,3,1]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>0000000
[8,2,7,5,6,4,3,1]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>0000000
[4,3,2,7,5,6,8,1]=>[1,4,7,8,2,3,5,6]=>[1,8,2,4,3,5,7,6]=>[8,1,7,5,6,4,2,3]=>0000000
[4,3,2,8,5,6,7,1]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>0000000
[4,3,2,8,6,7,5,1]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>0000000
[5,3,2,4,1,8,7,6]=>[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>0000000
[8,3,2,5,4,7,6,1]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000
[8,3,2,5,6,4,7,1]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000
[8,3,2,7,5,6,4,1]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[8,3,2,7,6,5,4,1]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[5,3,4,2,1,8,7,6]=>[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>0000000
[7,3,4,2,6,5,1,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[7,3,4,2,6,5,8,1]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[8,1,7,6,5,4,2,3]=>0000000
[6,3,5,4,2,7,8,1]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>[8,1,7,4,6,3,2,5]=>0000000
[8,3,5,4,2,6,7,1]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[8,1,7,4,6,5,3,2]=>0000000
[8,3,5,4,7,6,2,1]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[8,1,7,2,6,5,4,3]=>0000000
[8,3,7,4,5,6,2,1]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>0000000
[8,3,7,5,6,4,2,1]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>0000000
[5,4,3,2,8,6,7,1]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[8,1,5,7,4,6,3,2]=>0000000
[2,4,1,3,6,5,8,7]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[2,4,6,1,3,5,8,7]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[2,1,4,6,3,8,5,7]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>0000000
[2,4,1,6,3,8,5,7]=>[1,2,4,6,8,7,5,3]=>[1,2,5,4,7,6,8,3]=>[8,7,4,5,2,3,1,6]=>0000000
[2,4,6,1,3,8,5,7]=>[1,2,4,3,6,8,7,5]=>[1,2,4,3,7,6,8,5]=>[8,7,5,6,2,3,1,4]=>0000000
[2,4,6,8,1,3,5,7]=>[1,2,4,8,7,5,3,6]=>[1,2,5,4,7,3,8,6]=>[8,7,4,5,2,6,1,3]=>0000000
[2,4,1,3,6,5,7,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[2,4,6,1,3,7,5,8]=>[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>0000000
[2,4,1,3,6,7,8,5]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[2,4,6,1,7,3,8,5]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[2,4,6,7,1,3,8,5]=>[1,2,4,7,8,5,3,6]=>[1,2,5,4,8,3,7,6]=>[8,7,4,5,1,6,2,3]=>0000000
[2,4,1,6,7,8,3,5]=>[1,2,4,6,8,5,7,3]=>[1,2,7,4,8,6,5,3]=>[8,7,2,5,1,3,4,6]=>0000000
[2,4,6,7,1,8,3,5]=>[1,2,4,7,3,6,8,5]=>[1,2,7,4,8,3,6,5]=>[8,7,2,5,1,6,3,4]=>0000000
[2,4,1,7,8,3,5,6]=>[1,2,4,7,5,8,6,3]=>[1,2,6,4,8,7,3,5]=>[8,7,3,5,1,2,6,4]=>0000000
[2,4,7,1,8,3,5,6]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[8,7,5,6,2,1,4,3]=>0000000
[2,4,1,3,5,7,8,6]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[2,4,5,1,3,7,8,6]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[2,4,5,7,8,1,3,6]=>[1,2,4,7,3,5,8,6]=>[1,2,7,4,3,8,5,6]=>[8,7,2,5,6,1,4,3]=>0000000
[2,1,4,3,8,5,6,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[2,1,4,8,3,5,6,7]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>0000000
[2,1,4,5,8,3,6,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[2,4,1,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[2,4,5,1,6,3,7,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[2,1,5,3,6,4,8,7]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>0000000
[2,1,5,3,6,8,4,7]=>[1,2,3,5,6,8,7,4]=>[1,2,3,7,5,6,8,4]=>[8,7,6,2,4,3,1,5]=>0000000
[2,1,5,3,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>0000000
[2,5,1,3,6,7,8,4]=>[1,2,5,6,7,8,4,3]=>[1,2,4,8,5,6,7,3]=>[8,7,5,1,4,3,2,6]=>0000000
[2,5,6,1,3,7,8,4]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[8,7,4,1,6,3,2,5]=>0000000
[2,1,5,6,7,3,8,4]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[8,7,6,1,4,5,2,3]=>0000000
[2,5,6,1,7,8,3,4]=>[1,2,5,7,3,6,8,4]=>[1,2,7,8,5,3,6,4]=>[8,7,2,1,4,6,3,5]=>0000000
[2,1,5,3,7,4,8,6]=>[1,2,3,5,7,8,6,4]=>[1,2,3,6,5,8,7,4]=>[8,7,6,3,4,1,2,5]=>0000000
[2,5,1,3,7,4,8,6]=>[1,2,5,7,8,6,4,3]=>[1,2,4,6,5,8,7,3]=>[8,7,5,3,4,1,2,6]=>0000000
[2,3,5,1,7,4,8,6]=>[1,2,3,5,7,8,6,4]=>[1,2,3,6,5,8,7,4]=>[8,7,6,3,4,1,2,5]=>0000000
[2,1,5,3,8,4,6,7]=>[1,2,3,5,8,7,6,4]=>[1,2,3,6,5,7,8,4]=>[8,7,6,3,4,2,1,5]=>0000000
[2,3,5,1,6,4,8,7]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>0000000
[2,3,5,1,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>0000000
[2,3,5,6,7,1,8,4]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[8,7,6,1,4,5,2,3]=>0000000
[2,1,6,3,7,8,4,5]=>[1,2,3,6,8,5,7,4]=>[1,2,3,7,8,6,5,4]=>[8,7,6,2,1,3,4,5]=>0000000
[2,1,6,7,8,3,4,5]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>0000000
[2,6,1,7,8,3,4,5]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>0000000
[2,6,7,8,1,3,4,5]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>0000000
[2,6,7,1,3,4,5,8]=>[1,2,6,4,3,7,5,8]=>[1,2,4,6,7,3,5,8]=>[8,7,5,3,2,6,4,1]=>0000000
[2,3,1,6,4,7,5,8]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>0000000
[2,3,6,7,1,4,5,8]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>0000000
[2,1,6,3,4,7,8,5]=>[1,2,3,6,7,8,5,4]=>[1,2,3,5,8,6,7,4]=>[8,7,6,4,1,3,2,5]=>0000000
[2,3,6,1,4,7,8,5]=>[1,2,3,6,7,8,5,4]=>[1,2,3,5,8,6,7,4]=>[8,7,6,4,1,3,2,5]=>0000000
[2,3,6,1,7,8,4,5]=>[1,2,3,6,8,5,7,4]=>[1,2,3,7,8,6,5,4]=>[8,7,6,2,1,3,4,5]=>0000000
[2,3,6,7,8,1,4,5]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>0000000
[2,1,6,3,4,8,5,7]=>[1,2,3,6,8,7,5,4]=>[1,2,3,5,7,6,8,4]=>[8,7,6,4,2,3,1,5]=>0000000
[2,3,1,6,4,8,5,7]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>0000000
[2,3,6,1,4,8,5,7]=>[1,2,3,6,8,7,5,4]=>[1,2,3,5,7,6,8,4]=>[8,7,6,4,2,3,1,5]=>0000000
[2,3,6,1,8,4,5,7]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>0000000
[2,3,6,8,1,4,5,7]=>[1,2,3,6,4,8,7,5]=>[1,2,3,6,7,4,8,5]=>[8,7,6,3,2,5,1,4]=>0000000
[2,6,1,3,4,5,8,7]=>[1,2,6,5,4,3,7,8]=>[1,2,4,5,6,3,7,8]=>[8,7,5,4,3,6,2,1]=>0000000
[2,3,4,6,1,8,5,7]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>0000000
[2,3,1,7,8,4,5,6]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>0000000
[2,1,7,3,4,5,8,6]=>[1,2,3,7,8,6,5,4]=>[1,2,3,5,6,8,7,4]=>[8,7,6,4,3,1,2,5]=>0000000
[2,3,7,1,4,5,8,6]=>[1,2,3,7,8,6,5,4]=>[1,2,3,5,6,8,7,4]=>[8,7,6,4,3,1,2,5]=>0000000
[2,3,4,7,8,1,5,6]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>0000000
[2,1,8,3,4,5,6,7]=>[1,2,3,8,7,6,5,4]=>[1,2,3,5,6,7,8,4]=>[8,7,6,4,3,2,1,5]=>0000000
[2,8,1,3,4,5,6,7]=>[1,2,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,3]=>[8,7,5,4,3,2,1,6]=>0000000
[2,1,3,8,4,5,6,7]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>0000000
[2,3,1,8,4,5,6,7]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>0000000
[2,3,8,1,4,5,6,7]=>[1,2,3,8,7,6,5,4]=>[1,2,3,5,6,7,8,4]=>[8,7,6,4,3,2,1,5]=>0000000
[2,1,3,4,8,5,6,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[2,3,1,4,8,5,6,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[2,3,4,1,8,5,6,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[2,3,4,8,1,5,6,7]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>0000000
[2,3,4,5,8,1,6,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[3,1,4,2,6,5,8,7]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[3,1,4,2,6,5,7,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[3,1,4,2,6,7,5,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[3,1,4,2,6,7,8,5]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[3,4,6,1,7,8,2,5]=>[1,3,6,8,5,7,2,4]=>[1,7,3,2,8,6,5,4]=>[8,2,6,7,1,3,4,5]=>0000000
[3,1,4,2,7,5,8,6]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>0000000
[3,1,4,2,7,8,5,6]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>0000000
[3,4,1,2,7,8,5,6]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[3,1,4,2,7,5,6,8]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>0000000
[3,4,1,2,7,5,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[3,4,1,5,7,2,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[3,1,4,2,5,7,8,6]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[3,4,1,5,7,8,2,6]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[3,4,1,8,2,5,6,7]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,6,7,8,5]=>[8,6,7,5,3,2,1,4]=>0000000
[3,4,5,1,2,8,6,7]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]=>[8,4,6,7,5,3,1,2]=>0000000
[3,4,5,6,1,8,2,7]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]=>[8,4,6,7,5,3,1,2]=>0000000
[3,1,4,2,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[3,1,4,5,6,7,8,2]=>[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>0000000
[3,1,5,6,2,8,4,7]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]=>[8,4,6,7,5,3,1,2]=>0000000
[3,1,5,2,6,7,8,4]=>[1,3,5,6,7,8,4,2]=>[1,4,3,8,5,6,7,2]=>[8,5,6,1,4,3,2,7]=>0000000
[3,1,5,6,7,2,8,4]=>[1,3,5,7,8,4,6,2]=>[1,6,3,8,5,4,7,2]=>[8,3,6,1,4,5,2,7]=>0000000
[3,5,6,1,7,8,2,4]=>[1,3,6,8,4,2,5,7]=>[1,4,3,8,2,6,5,7]=>[8,5,6,1,7,3,4,2]=>0000000
[3,1,5,2,7,4,8,6]=>[1,3,5,7,8,6,4,2]=>[1,4,3,6,5,8,7,2]=>[8,5,6,3,4,1,2,7]=>0000000
[3,5,1,7,2,4,8,6]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>0000000
[3,1,2,5,7,4,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[1,3,5,2,7,4,8,6]=>[1,2,3,5,7,8,6,4]=>[1,2,3,6,5,8,7,4]=>[8,7,6,3,4,1,2,5]=>0000000
[1,3,2,5,8,4,6,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[1,3,5,2,8,4,6,7]=>[1,2,3,5,8,7,6,4]=>[1,2,3,6,5,7,8,4]=>[8,7,6,3,4,2,1,5]=>0000000
[1,3,5,2,6,4,8,7]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>0000000
[1,3,5,2,6,8,4,7]=>[1,2,3,5,6,8,7,4]=>[1,2,3,7,5,6,8,4]=>[8,7,6,2,4,3,1,5]=>0000000
[1,3,5,2,6,4,7,8]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>0000000
[3,1,6,7,2,4,5,8]=>[1,3,6,4,7,5,2,8]=>[1,5,3,7,6,2,4,8]=>[8,4,6,2,3,7,5,1]=>0000000
[1,3,2,6,4,7,5,8]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>0000000
[1,3,6,2,4,7,8,5]=>[1,2,3,6,7,8,5,4]=>[1,2,3,5,8,6,7,4]=>[8,7,6,4,1,3,2,5]=>0000000
[1,3,6,2,7,8,4,5]=>[1,2,3,6,8,5,7,4]=>[1,2,3,7,8,6,5,4]=>[8,7,6,2,1,3,4,5]=>0000000
[3,6,8,1,2,4,5,7]=>[1,3,8,7,5,2,6,4]=>[1,5,3,7,6,4,8,2]=>[8,4,6,2,3,5,1,7]=>0000000
[1,3,2,6,4,8,5,7]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>0000000
[1,3,6,2,4,8,5,7]=>[1,2,3,6,8,7,5,4]=>[1,2,3,5,7,6,8,4]=>[8,7,6,4,2,3,1,5]=>0000000
[3,1,2,7,8,4,5,6]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[8,6,7,5,2,1,4,3]=>0000000
[1,3,7,2,4,5,8,6]=>[1,2,3,7,8,6,5,4]=>[1,2,3,5,6,8,7,4]=>[8,7,6,4,3,1,2,5]=>0000000
[3,1,2,4,7,8,5,6]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[3,1,2,4,7,5,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[3,1,8,2,4,5,6,7]=>[1,3,8,7,6,5,4,2]=>[1,4,3,5,6,7,8,2]=>[8,5,6,4,3,2,1,7]=>0000000
[3,1,2,8,4,5,6,7]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,6,7,8,5]=>[8,6,7,5,3,2,1,4]=>0000000
[1,3,2,8,4,5,6,7]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>0000000
[1,3,8,2,4,5,6,7]=>[1,2,3,8,7,6,5,4]=>[1,2,3,5,6,7,8,4]=>[8,7,6,4,3,2,1,5]=>0000000
[1,3,2,4,8,5,6,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[1,3,4,2,8,5,6,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[1,3,4,8,2,5,6,7]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>0000000
[1,3,4,5,8,2,6,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[4,5,6,1,7,2,8,3]=>[1,4,2,5,7,8,3,6]=>[1,4,8,2,5,3,7,6]=>[8,5,1,7,4,6,2,3]=>0000000
[4,5,6,7,1,2,8,3]=>[1,4,7,8,3,6,2,5]=>[1,6,8,4,2,3,7,5]=>[8,3,1,5,7,6,2,4]=>0000000
[4,5,1,7,2,3,8,6]=>[1,4,7,8,6,3,2,5]=>[1,3,6,4,2,8,7,5]=>[8,6,3,5,7,1,2,4]=>0000000
[1,4,5,2,3,7,6,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[1,4,5,2,3,7,8,6]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[4,1,2,5,7,3,8,6]=>[1,4,5,7,8,6,3,2]=>[1,3,6,4,5,8,7,2]=>[8,6,3,5,4,1,2,7]=>0000000
[1,4,5,7,8,2,3,6]=>[1,2,4,7,3,5,8,6]=>[1,2,7,4,3,8,5,6]=>[8,7,2,5,6,1,4,3]=>0000000
[4,5,8,1,2,3,6,7]=>[1,4,2,5,3,8,7,6]=>[1,4,5,2,3,7,8,6]=>[8,5,4,7,6,2,1,3]=>0000000
[1,4,5,2,6,3,8,7]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[1,4,5,2,3,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[1,4,5,2,6,3,7,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[4,1,2,5,6,7,8,3]=>[1,4,5,6,7,8,3,2]=>[1,3,8,4,5,6,7,2]=>[8,6,1,5,4,3,2,7]=>0000000
[1,4,5,2,6,7,8,3]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[4,1,6,7,2,3,8,5]=>[1,4,7,8,5,2,3,6]=>[1,5,2,4,8,3,7,6]=>[8,4,7,5,1,6,2,3]=>0000000
[4,6,7,1,2,3,8,5]=>[1,4,2,6,3,7,8,5]=>[1,4,6,2,8,3,7,5]=>[8,5,3,7,1,6,2,4]=>0000000
[4,6,1,2,7,8,3,5]=>[1,4,2,6,8,5,7,3]=>[1,4,7,2,8,6,5,3]=>[8,5,2,7,1,3,4,6]=>0000000
[1,4,6,2,7,3,5,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[1,4,6,2,7,3,8,5]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[1,4,2,6,7,8,3,5]=>[1,2,4,6,8,5,7,3]=>[1,2,7,4,8,6,5,3]=>[8,7,2,5,1,3,4,6]=>0000000
[1,4,6,7,2,8,3,5]=>[1,2,4,7,3,6,8,5]=>[1,2,7,4,8,3,6,5]=>[8,7,2,5,1,6,3,4]=>0000000
[4,1,6,8,2,3,5,7]=>[1,4,8,7,5,2,3,6]=>[1,5,2,4,7,3,8,6]=>[8,4,7,5,2,6,1,3]=>0000000
[4,6,8,1,2,3,5,7]=>[1,4,2,6,3,8,7,5]=>[1,4,6,2,7,3,8,5]=>[8,5,3,7,2,6,1,4]=>0000000
[4,1,6,2,3,8,5,7]=>[1,4,2,3,6,8,7,5]=>[1,4,2,3,7,6,8,5]=>[8,5,7,6,2,3,1,4]=>0000000
[1,4,2,6,3,8,5,7]=>[1,2,4,6,8,7,5,3]=>[1,2,5,4,7,6,8,3]=>[8,7,4,5,2,3,1,6]=>0000000
[1,4,6,2,3,8,5,7]=>[1,2,4,3,6,8,7,5]=>[1,2,4,3,7,6,8,5]=>[8,7,5,6,2,3,1,4]=>0000000
[1,4,6,8,2,3,5,7]=>[1,2,4,8,7,5,3,6]=>[1,2,5,4,7,3,8,6]=>[8,7,4,5,2,6,1,3]=>0000000
[1,4,2,3,6,5,8,7]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[1,2,4,6,3,8,5,7]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>0000000
[1,4,2,3,6,5,7,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[1,4,2,3,6,7,8,5]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[4,1,7,2,8,3,5,6]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[8,5,7,6,2,1,4,3]=>0000000
[4,7,1,2,8,3,5,6]=>[1,4,2,7,5,8,6,3]=>[1,4,6,2,8,7,3,5]=>[8,5,3,7,1,2,6,4]=>0000000
[4,1,7,2,3,8,5,6]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000
[4,1,2,7,8,3,5,6]=>[1,4,7,5,8,6,3,2]=>[1,3,6,4,8,7,2,5]=>[8,6,3,5,1,2,7,4]=>0000000
[1,4,2,7,8,3,5,6]=>[1,2,4,7,5,8,6,3]=>[1,2,6,4,8,7,3,5]=>[8,7,3,5,1,2,6,4]=>0000000
[1,4,7,2,8,3,5,6]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[8,7,5,6,2,1,4,3]=>0000000
[1,2,4,7,8,3,5,6]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>0000000
[1,4,2,3,5,7,6,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[1,4,2,3,5,7,8,6]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[1,4,8,2,3,5,6,7]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,6,7,8,5]=>[8,7,5,6,3,2,1,4]=>0000000
[1,2,4,3,8,5,6,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[1,2,4,8,3,5,6,7]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>0000000
[1,2,4,5,8,3,6,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[1,4,2,3,5,6,8,7]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[1,4,2,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>0000000
[5,1,6,7,2,3,8,4]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>0000000
[5,6,7,1,2,3,8,4]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>[8,4,3,1,7,6,2,5]=>0000000
[5,1,6,7,8,2,3,4]=>[1,5,8,4,7,3,6,2]=>[1,6,7,8,5,3,4,2]=>[8,3,2,1,4,6,5,7]=>0000000
[5,6,1,2,3,7,8,4]=>[1,5,3,2,6,7,8,4]=>[1,3,5,8,2,6,7,4]=>[8,6,4,1,7,3,2,5]=>0000000
[1,5,6,2,3,7,8,4]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[8,7,4,1,6,3,2,5]=>0000000
[5,6,8,1,2,3,4,7]=>[1,5,2,6,3,8,7,4]=>[1,5,6,7,2,3,8,4]=>[8,4,3,2,7,6,1,5]=>0000000
[5,1,2,6,3,8,4,7]=>[1,5,3,2,4,6,8,7]=>[1,3,5,2,4,6,8,7]=>[8,6,4,7,5,3,1,2]=>0000000
[1,5,6,2,3,8,4,7]=>[1,2,5,3,6,8,7,4]=>[1,2,5,7,3,6,8,4]=>[8,7,4,2,6,3,1,5]=>0000000
[1,2,5,3,6,4,8,7]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>0000000
[5,1,6,2,3,4,7,8]=>[1,5,3,6,4,2,7,8]=>[1,4,6,5,2,3,7,8]=>[8,5,3,4,7,6,2,1]=>0000000
[5,1,2,3,6,7,8,4]=>[1,5,6,7,8,4,3,2]=>[1,3,4,8,5,6,7,2]=>[8,6,5,1,4,3,2,7]=>0000000
[1,5,2,3,6,7,8,4]=>[1,2,5,6,7,8,4,3]=>[1,2,4,8,5,6,7,3]=>[8,7,5,1,4,3,2,6]=>0000000
[1,2,5,3,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>0000000
[1,5,7,2,8,3,4,6]=>[1,2,5,8,6,3,7,4]=>[1,2,6,8,5,7,4,3]=>[8,7,3,1,4,2,5,6]=>0000000
[5,1,2,7,3,4,8,6]=>[1,5,3,2,4,7,8,6]=>[1,3,5,2,4,8,7,6]=>[8,6,4,7,5,1,2,3]=>0000000
[1,5,2,3,7,4,8,6]=>[1,2,5,7,8,6,4,3]=>[1,2,4,6,5,8,7,3]=>[8,7,5,3,4,1,2,6]=>0000000
[1,2,5,3,7,4,8,6]=>[1,2,3,5,7,8,6,4]=>[1,2,3,6,5,8,7,4]=>[8,7,6,3,4,1,2,5]=>0000000
[5,7,1,2,3,4,6,8]=>[1,5,3,2,7,6,4,8]=>[1,3,5,6,2,7,4,8]=>[8,6,4,3,7,2,5,1]=>0000000
[1,2,5,3,8,4,6,7]=>[1,2,3,5,8,7,6,4]=>[1,2,3,6,5,7,8,4]=>[8,7,6,3,4,2,1,5]=>0000000
[1,2,3,5,8,4,6,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[6,1,7,2,3,8,4,5]=>[1,6,8,5,3,7,4,2]=>[1,4,7,5,8,6,2,3]=>[8,5,2,4,1,3,7,6]=>0000000
[1,6,7,8,2,3,4,5]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>0000000
[6,1,7,2,3,4,8,5]=>[1,6,4,2,3,7,8,5]=>[1,4,2,6,8,3,7,5]=>[8,5,7,3,1,6,2,4]=>0000000
[6,1,2,7,3,4,8,5]=>[1,6,4,7,8,5,3,2]=>[1,3,5,8,6,2,7,4]=>[8,6,4,1,3,7,2,5]=>0000000
[1,2,6,3,7,8,4,5]=>[1,2,3,6,8,5,7,4]=>[1,2,3,7,8,6,5,4]=>[8,7,6,2,1,3,4,5]=>0000000
[1,2,6,7,8,3,4,5]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>0000000
[1,6,7,2,3,4,5,8]=>[1,2,6,4,3,7,5,8]=>[1,2,4,6,7,3,5,8]=>[8,7,5,3,2,6,4,1]=>0000000
[1,2,3,6,4,7,5,8]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>0000000
[1,2,6,3,4,7,8,5]=>[1,2,3,6,7,8,5,4]=>[1,2,3,5,8,6,7,4]=>[8,7,6,4,1,3,2,5]=>0000000
[1,2,6,3,8,4,5,7]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>0000000
[1,2,6,8,3,4,5,7]=>[1,2,3,6,4,8,7,5]=>[1,2,3,6,7,4,8,5]=>[8,7,6,3,2,5,1,4]=>0000000
[1,2,6,3,4,8,5,7]=>[1,2,3,6,8,7,5,4]=>[1,2,3,5,7,6,8,4]=>[8,7,6,4,2,3,1,5]=>0000000
[1,2,3,6,4,8,5,7]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>0000000
[1,6,2,3,4,5,8,7]=>[1,2,6,5,4,3,7,8]=>[1,2,4,5,6,3,7,8]=>[8,7,5,4,3,6,2,1]=>0000000
[1,6,2,3,4,5,7,8]=>[1,2,6,5,4,3,7,8]=>[1,2,4,5,6,3,7,8]=>[8,7,5,4,3,6,2,1]=>0000000
[1,2,3,7,8,4,5,6]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>0000000
[1,2,7,3,4,5,8,6]=>[1,2,3,7,8,6,5,4]=>[1,2,3,5,6,8,7,4]=>[8,7,6,4,3,1,2,5]=>0000000
[1,8,2,3,4,5,6,7]=>[1,2,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,3]=>[8,7,5,4,3,2,1,6]=>0000000
[1,2,8,3,4,5,6,7]=>[1,2,3,8,7,6,5,4]=>[1,2,3,5,6,7,8,4]=>[8,7,6,4,3,2,1,5]=>0000000
[1,2,3,8,4,5,6,7]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>0000000
[1,2,3,4,8,5,6,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[7,3,2,5,4,8,1,6]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[7,5,4,3,2,8,1,6]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[8,2,4,6,7,5,3,1]=>0000000
[5,7,4,3,1,8,2,6]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[3,8,1,5,4,7,6,2]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>0000000
[4,8,5,1,3,7,6,2]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>0000000
[5,8,6,7,1,3,4,2]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[8,4,1,3,7,6,5,2]=>0000000
[2,1,8,6,7,4,5,3]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>0000000
[5,3,2,7,1,8,4,6]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000
[5,3,2,8,1,7,6,4]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[8,4,7,2,6,5,3,1]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[8,1,5,7,2,4,6,3]=>0000000
[4,5,8,1,2,7,6,3]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[8,5,4,7,6,1,3,2]=>0000000
[5,6,8,7,1,2,4,3]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[8,4,3,1,7,6,5,2]=>0000000
[7,5,8,6,2,4,1,3]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[8,2,4,1,7,5,6,3]=>0000000
[4,8,7,1,6,5,3,2]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[8,5,1,7,2,4,6,3]=>0000000
[5,8,7,6,1,4,3,2]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>0000000
[3,2,8,1,4,5,6,7]=>[1,3,8,7,6,5,4,2]=>[1,4,3,5,6,7,8,2]=>[8,5,6,4,3,2,1,7]=>0000000
[8,4,7,1,2,3,5,6]=>[1,8,6,3,7,5,2,4]=>[1,5,7,3,6,8,2,4]=>[8,4,2,6,3,1,7,5]=>0000000
[5,3,4,7,1,2,6,8]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000
[5,2,6,7,1,3,4,8]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>0000000
[5,3,6,7,1,2,4,8]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>0000000
[4,2,6,8,1,3,5,7]=>[1,4,8,7,5,2,3,6]=>[1,5,2,4,7,3,8,6]=>[8,4,7,5,2,6,1,3]=>0000000
[4,3,6,8,1,2,5,7]=>[1,4,8,7,5,2,3,6]=>[1,5,2,4,7,3,8,6]=>[8,4,7,5,2,6,1,3]=>0000000
[5,2,6,8,1,3,4,7]=>[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>[8,4,7,3,6,5,1,2]=>0000000
[4,3,7,8,1,2,5,6]=>[1,4,8,6,2,3,7,5]=>[1,6,2,4,8,7,5,3]=>[8,3,7,5,1,2,4,6]=>0000000
[6,3,7,8,1,2,4,5]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>0000000
[7,2,4,8,1,3,5,6]=>[1,7,5,2,3,4,8,6]=>[1,5,2,3,7,8,4,6]=>[8,4,7,6,2,1,5,3]=>0000000
[8,2,5,7,1,3,4,6]=>[1,8,6,3,5,2,4,7]=>[1,5,6,2,3,8,4,7]=>[8,4,3,7,6,1,5,2]=>0000000
[5,8,3,4,1,2,6,7]=>[1,5,2,8,7,6,3,4]=>[1,5,6,3,2,7,8,4]=>[8,4,3,6,7,2,1,5]=>0000000
[4,8,2,7,1,3,5,6]=>[1,4,7,5,2,8,6,3]=>[1,5,7,4,6,8,3,2]=>[8,4,2,5,3,1,6,7]=>0000000
[4,8,3,7,1,2,5,6]=>[1,4,7,5,2,8,6,3]=>[1,5,7,4,6,8,3,2]=>[8,4,2,5,3,1,6,7]=>0000000
[5,3,2,7,1,4,6,8]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000
[5,4,3,8,1,2,6,7]=>[1,5,2,4,8,7,6,3]=>[1,5,6,2,4,7,8,3]=>[8,4,3,7,5,2,1,6]=>0000000
[6,3,2,8,1,4,5,7]=>[1,6,4,8,7,5,2,3]=>[1,5,2,7,6,3,8,4]=>[8,4,7,2,3,6,1,5]=>0000000
[7,3,2,8,1,4,5,6]=>[1,7,5,2,3,4,8,6]=>[1,5,2,3,7,8,4,6]=>[8,4,7,6,2,1,5,3]=>0000000
[7,5,3,8,1,2,4,6]=>[1,7,4,8,6,2,5,3]=>[1,6,5,8,4,7,2,3]=>[8,3,4,1,5,2,7,6]=>0000000
[8,4,2,5,1,3,6,7]=>[1,8,7,6,3,2,4,5]=>[1,3,6,2,4,7,8,5]=>[8,6,3,7,5,2,1,4]=>0000000
[8,3,2,6,1,4,5,7]=>[1,8,7,5,2,3,4,6]=>[1,5,2,3,7,4,8,6]=>[8,4,7,6,2,5,1,3]=>0000000
[8,6,2,5,1,3,4,7]=>[1,8,7,4,5,2,6,3]=>[1,5,6,7,4,2,8,3]=>[8,4,3,2,5,7,1,6]=>0000000
[8,6,3,7,1,2,4,5]=>[1,8,5,2,6,3,4,7]=>[1,5,8,2,6,3,4,7]=>[8,4,1,7,3,6,5,2]=>0000000
[8,7,2,4,1,3,5,6]=>[1,8,6,3,2,7,5,4]=>[1,3,6,5,8,7,4,2]=>[8,6,3,4,1,2,5,7]=>0000000
[8,7,3,5,1,2,4,6]=>[1,8,6,2,7,4,5,3]=>[1,6,5,8,2,7,4,3]=>[8,3,4,1,7,2,5,6]=>0000000
[4,6,3,5,8,1,2,7]=>[1,4,5,8,7,2,6,3]=>[1,7,6,4,5,2,8,3]=>[8,2,3,5,4,7,1,6]=>0000000
[4,8,2,5,7,1,3,6]=>[1,4,5,7,3,2,8,6]=>[1,3,7,4,5,8,2,6]=>[8,6,2,5,4,1,7,3]=>0000000
[6,8,2,5,7,1,3,4]=>[1,6,2,8,4,5,7,3]=>[1,6,7,8,4,2,5,3]=>[8,3,2,1,5,7,4,6]=>0000000
[6,8,3,5,7,1,2,4]=>[1,6,2,8,4,5,7,3]=>[1,6,7,8,4,2,5,3]=>[8,3,2,1,5,7,4,6]=>0000000
[7,8,3,5,6,1,2,4]=>[1,7,2,8,4,5,6,3]=>[1,7,6,8,4,5,2,3]=>[8,2,3,1,5,4,7,6]=>0000000
[5,4,2,7,8,1,3,6]=>[1,5,8,6,2,4,7,3]=>[1,6,8,3,5,7,4,2]=>[8,3,1,6,4,2,5,7]=>0000000
[5,4,3,7,8,1,2,6]=>[1,5,8,6,2,4,7,3]=>[1,6,8,3,5,7,4,2]=>[8,3,1,6,4,2,5,7]=>0000000
[6,5,2,7,8,1,3,4]=>[1,6,2,5,8,4,7,3]=>[1,6,7,8,2,5,4,3]=>[8,3,2,1,7,4,5,6]=>0000000
[8,4,2,5,7,1,3,6]=>[1,8,6,2,4,5,7,3]=>[1,6,8,3,4,7,5,2]=>[8,3,1,6,5,2,4,7]=>0000000
[8,7,2,4,6,1,3,5]=>[1,8,5,6,2,7,3,4]=>[1,6,7,3,8,5,2,4]=>[8,3,2,6,1,4,7,5]=>0000000
[8,7,3,4,6,1,2,5]=>[1,8,5,6,2,7,3,4]=>[1,6,7,3,8,5,2,4]=>[8,3,2,6,1,4,7,5]=>0000000
[8,7,2,5,6,1,3,4]=>[1,8,4,5,6,2,7,3]=>[1,6,7,8,4,5,2,3]=>[8,3,2,1,5,4,7,6]=>0000000
[8,7,3,5,6,1,2,4]=>[1,8,4,5,6,2,7,3]=>[1,6,7,8,4,5,2,3]=>[8,3,2,1,5,4,7,6]=>0000000
[4,3,7,2,6,1,5,8]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000
[5,3,8,2,6,1,4,7]=>[1,5,6,2,3,8,7,4]=>[1,6,2,7,5,3,8,4]=>[8,3,7,2,4,6,1,5]=>0000000
[6,5,8,2,7,1,3,4]=>[1,6,2,5,7,3,8,4]=>[1,6,7,8,2,5,3,4]=>[8,3,2,1,7,4,6,5]=>0000000
[7,3,8,2,5,1,4,6]=>[1,7,4,2,3,8,6,5]=>[1,4,2,7,6,8,3,5]=>[8,5,7,2,3,1,6,4]=>0000000
[7,5,8,2,4,1,3,6]=>[1,7,3,8,6,2,5,4]=>[1,6,8,5,3,7,2,4]=>[8,3,1,4,6,2,7,5]=>0000000
[7,5,8,3,4,1,2,6]=>[1,7,2,5,4,3,8,6]=>[1,7,4,5,2,8,3,6]=>[8,2,5,4,7,1,6,3]=>0000000
[7,3,8,2,6,1,4,5]=>[1,7,4,2,3,8,5,6]=>[1,4,2,7,8,5,3,6]=>[8,5,7,2,1,4,6,3]=>0000000
[8,6,7,2,5,1,3,4]=>[1,8,4,2,6,3,7,5]=>[1,4,8,6,7,3,2,5]=>[8,5,1,3,2,6,7,4]=>0000000
[7,5,3,2,8,1,4,6]=>[1,7,4,2,5,8,6,3]=>[1,4,7,6,3,8,5,2]=>[8,5,2,3,6,1,4,7]=>0000000
[7,6,5,3,8,1,2,4]=>[1,7,2,6,3,5,8,4]=>[1,7,6,8,3,2,5,4]=>[8,2,3,1,6,7,4,5]=>0000000
[8,6,5,2,4,1,3,7]=>[1,8,7,3,5,4,2,6]=>[1,4,5,7,2,3,8,6]=>[8,5,4,2,7,6,1,3]=>0000000
[8,5,3,2,7,1,4,6]=>[1,8,6,2,5,7,4,3]=>[1,6,4,8,3,7,5,2]=>[8,3,5,1,6,2,4,7]=>0000000
[8,6,3,2,7,1,4,5]=>[1,8,5,7,4,2,6,3]=>[1,4,7,6,8,3,5,2]=>[8,5,2,3,1,6,4,7]=>0000000
[8,7,3,2,6,1,4,5]=>[1,8,5,6,2,7,4,3]=>[1,6,4,7,8,5,2,3]=>[8,3,5,2,1,4,7,6]=>0000000
[8,7,4,2,6,1,3,5]=>[1,8,5,6,2,7,3,4]=>[1,6,7,3,8,5,2,4]=>[8,3,2,6,1,4,7,5]=>0000000
[8,7,4,3,6,1,2,5]=>[1,8,5,6,2,7,3,4]=>[1,6,7,3,8,5,2,4]=>[8,3,2,6,1,4,7,5]=>0000000
[5,8,3,7,2,6,1,4]=>[1,5,2,8,4,7,3,6]=>[1,5,7,8,2,3,4,6]=>[8,4,2,1,7,6,5,3]=>0000000
[6,8,4,7,2,5,1,3]=>[1,6,5,2,8,3,4,7]=>[1,5,6,2,8,3,4,7]=>[8,4,3,7,1,6,5,2]=>0000000
[6,8,5,7,2,4,1,3]=>[1,6,4,7,2,8,3,5]=>[1,7,8,6,3,4,2,5]=>[8,2,1,3,6,5,7,4]=>0000000
[6,8,5,7,3,4,1,2]=>[1,6,4,7,2,8,3,5]=>[1,7,8,6,3,4,2,5]=>[8,2,1,3,6,5,7,4]=>0000000
[7,4,3,8,2,6,1,5]=>[1,7,2,4,8,5,3,6]=>[1,7,5,2,8,3,4,6]=>[8,2,4,7,1,6,5,3]=>0000000
[8,5,3,7,2,6,1,4]=>[1,8,4,7,2,5,3,6]=>[1,7,5,8,2,3,4,6]=>[8,2,4,1,7,6,5,3]=>0000000
[8,6,4,7,2,5,1,3]=>[1,8,3,4,7,2,6,5]=>[1,7,8,3,6,2,4,5]=>[8,2,1,6,3,7,5,4]=>0000000
[8,6,5,7,2,4,1,3]=>[1,8,3,5,2,6,4,7]=>[1,5,8,6,3,2,4,7]=>[8,4,1,3,6,7,5,2]=>0000000
[8,7,3,6,2,5,1,4]=>[1,8,4,6,5,2,7,3]=>[1,5,6,7,8,2,3,4]=>[8,4,3,2,1,7,6,5]=>0000000
[8,5,4,3,2,7,1,6]=>[1,8,6,7,2,5,3,4]=>[1,7,5,3,2,8,6,4]=>[8,2,4,6,7,1,3,5]=>0000000
[8,1,2,5,6,7,3,4]=>[1,8,4,5,6,7,3,2]=>[1,3,7,8,4,5,6,2]=>[8,6,2,1,5,4,3,7]=>0000000
[3,1,8,2,6,7,4,5]=>[1,3,8,5,6,7,4,2]=>[1,4,3,7,8,5,6,2]=>[8,5,6,2,1,4,3,7]=>0000000
[6,1,8,2,3,7,4,5]=>[1,6,7,4,2,3,8,5]=>[1,4,2,7,8,6,3,5]=>[8,5,7,2,1,3,6,4]=>0000000
[8,1,4,2,6,3,5,7]=>[1,8,7,5,6,3,4,2]=>[1,4,6,3,7,5,8,2]=>[8,5,3,6,2,4,1,7]=>0000000
[7,1,8,2,6,3,4,5]=>[1,7,4,2,3,8,5,6]=>[1,4,2,7,8,5,3,6]=>[8,5,7,2,1,4,6,3]=>0000000
[8,1,4,2,6,7,3,5]=>[1,8,5,6,7,3,4,2]=>[1,4,7,3,8,5,6,2]=>[8,5,2,6,1,4,3,7]=>0000000
[8,1,5,2,6,7,3,4]=>[1,8,4,2,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>0000000
[5,1,4,2,6,7,8,3]=>[1,5,6,7,8,3,4,2]=>[1,4,8,3,5,6,7,2]=>[8,5,1,6,4,3,2,7]=>0000000
[3,1,8,6,2,7,4,5]=>[1,3,8,5,2,4,6,7]=>[1,5,3,2,8,4,6,7]=>[8,4,6,7,1,5,3,2]=>0000000
[8,1,4,5,2,3,6,7]=>[1,8,7,6,3,4,5,2]=>[1,5,6,3,4,7,8,2]=>[8,4,3,6,5,2,1,7]=>0000000
[3,1,7,5,6,2,8,4]=>[1,3,7,8,4,5,6,2]=>[1,6,3,8,4,5,7,2]=>[8,3,6,1,5,4,2,7]=>0000000
[8,1,4,5,7,2,3,6]=>[1,8,6,2,3,4,5,7]=>[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>0000000
[3,1,4,5,8,7,2,6]=>[1,3,4,5,8,6,7,2]=>[1,7,3,4,5,8,6,2]=>[8,2,6,5,4,1,3,7]=>0000000
[2,7,1,6,3,4,8,5]=>[1,2,7,8,5,3,4,6]=>[1,2,5,3,8,4,7,6]=>[8,7,4,6,1,5,2,3]=>0000000
[2,6,1,5,3,8,4,7]=>[1,2,6,8,7,4,5,3]=>[1,2,5,7,4,6,8,3]=>[8,7,4,2,5,3,1,6]=>0000000
[2,8,1,6,3,7,4,5]=>[1,2,8,5,3,4,6,7]=>[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>0000000
[8,3,1,2,7,4,5,6]=>[1,8,6,4,2,3,5,7]=>[1,4,2,6,3,8,5,7]=>[8,5,7,3,6,1,4,2]=>0000000
[5,3,1,2,6,7,8,4]=>[1,5,6,7,8,4,2,3]=>[1,4,2,8,5,6,7,3]=>[8,5,7,1,4,3,2,6]=>0000000
[8,4,1,2,3,7,5,6]=>[1,8,6,7,5,3,2,4]=>[1,3,5,2,7,8,6,4]=>[8,6,4,7,2,1,3,5]=>0000000
[7,6,1,2,3,4,8,5]=>[1,7,8,5,3,2,6,4]=>[1,3,5,8,6,4,7,2]=>[8,6,4,1,3,5,2,7]=>0000000
[8,6,1,2,3,7,4,5]=>[1,8,5,3,2,6,7,4]=>[1,3,5,8,7,4,6,2]=>[8,6,4,1,2,5,3,7]=>0000000
[4,3,1,6,2,8,5,7]=>[1,4,6,8,7,5,2,3]=>[1,5,2,4,7,6,8,3]=>[8,4,7,5,2,3,1,6]=>0000000
[8,3,1,5,2,4,6,7]=>[1,8,7,6,4,5,2,3]=>[1,5,2,6,4,7,8,3]=>[8,4,7,3,5,2,1,6]=>0000000
[8,3,1,6,2,4,5,7]=>[1,8,7,5,2,3,4,6]=>[1,5,2,3,7,4,8,6]=>[8,4,7,6,2,5,1,3]=>0000000
[8,4,1,5,2,7,3,6]=>[1,8,6,7,3,2,4,5]=>[1,3,7,2,4,8,6,5]=>[8,6,2,7,5,1,3,4]=>0000000
[8,4,1,6,2,7,3,5]=>[1,8,5,2,4,6,7,3]=>[1,5,8,3,7,4,6,2]=>[8,4,1,6,2,5,3,7]=>0000000
[4,3,1,7,6,2,8,5]=>[1,4,7,8,5,6,2,3]=>[1,6,2,4,8,5,7,3]=>[8,3,7,5,1,4,2,6]=>0000000
[8,3,1,5,7,2,4,6]=>[1,8,6,2,3,4,5,7]=>[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>0000000
[8,4,1,5,6,7,2,3]=>[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>0000000
[2,3,7,1,6,4,8,5]=>[1,2,3,7,8,5,6,4]=>[1,2,3,6,8,5,7,4]=>[8,7,6,3,1,4,2,5]=>0000000
[2,3,5,1,8,7,4,6]=>[1,2,3,5,8,6,7,4]=>[1,2,3,7,5,8,6,4]=>[8,7,6,2,4,1,3,5]=>0000000
[2,3,8,1,6,7,4,5]=>[1,2,3,8,5,6,7,4]=>[1,2,3,7,8,5,6,4]=>[8,7,6,2,1,4,3,5]=>0000000
[2,6,4,1,3,8,5,7]=>[1,2,6,8,7,5,3,4]=>[1,2,5,3,7,6,8,4]=>[8,7,4,6,2,3,1,5]=>0000000
[2,8,5,1,7,3,4,6]=>[1,2,8,6,3,5,7,4]=>[1,2,6,8,4,7,5,3]=>[8,7,3,1,5,2,4,6]=>0000000
[2,8,4,1,6,7,3,5]=>[1,2,8,5,6,7,3,4]=>[1,2,7,3,8,5,6,4]=>[8,7,2,6,1,4,3,5]=>0000000
[6,3,7,1,2,4,8,5]=>[1,6,4,2,3,7,8,5]=>[1,4,2,6,8,3,7,5]=>[8,5,7,3,1,6,2,4]=>0000000
[8,3,5,1,2,7,4,6]=>[1,8,6,7,4,2,3,5]=>[1,4,2,7,3,8,6,5]=>[8,5,7,2,6,1,3,4]=>0000000
[6,3,8,1,2,7,4,5]=>[1,6,7,4,2,3,8,5]=>[1,4,2,7,8,6,3,5]=>[8,5,7,2,1,3,6,4]=>0000000
[7,5,4,1,2,3,8,6]=>[1,7,8,6,3,4,2,5]=>[1,4,6,3,2,8,7,5]=>[8,5,3,6,7,1,2,4]=>0000000
[6,7,4,1,2,3,8,5]=>[1,6,3,4,2,7,8,5]=>[1,4,6,3,8,2,7,5]=>[8,5,3,6,1,7,2,4]=>0000000
[8,5,4,1,2,7,3,6]=>[1,8,6,7,3,4,2,5]=>[1,4,7,3,2,8,6,5]=>[8,5,2,6,7,1,3,4]=>0000000
[6,8,4,1,2,7,3,5]=>[1,6,7,3,4,2,8,5]=>[1,4,7,3,8,6,2,5]=>[8,5,2,6,1,3,7,4]=>0000000
[8,3,4,1,7,2,5,6]=>[1,8,6,2,3,4,5,7]=>[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>0000000
[7,3,8,1,6,2,4,5]=>[1,7,4,2,3,8,5,6]=>[1,4,2,7,8,5,3,6]=>[8,5,7,2,1,4,6,3]=>0000000
[7,8,4,1,6,2,3,5]=>[1,7,3,4,2,8,5,6]=>[1,4,7,3,8,5,2,6]=>[8,5,2,6,1,4,7,3]=>0000000
[2,3,4,8,1,7,5,6]=>[1,2,3,4,8,6,7,5]=>[1,2,3,4,7,8,6,5]=>[8,7,6,5,2,1,3,4]=>0000000
[2,3,6,5,1,7,8,4]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[8,7,6,1,5,3,2,4]=>0000000
[2,8,4,5,1,3,6,7]=>[1,2,8,7,6,3,4,5]=>[1,2,6,3,4,7,8,5]=>[8,7,3,6,5,2,1,4]=>0000000
[2,7,4,6,1,3,8,5]=>[1,2,7,8,5,3,4,6]=>[1,2,5,3,8,4,7,6]=>[8,7,4,6,1,5,2,3]=>0000000
[2,8,6,5,1,3,4,7]=>[1,2,8,7,4,5,3,6]=>[1,2,5,7,4,3,8,6]=>[8,7,4,2,5,6,1,3]=>0000000
[2,8,4,6,1,7,3,5]=>[1,2,8,5,3,4,6,7]=>[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>0000000
[2,3,4,8,6,1,5,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[2,3,4,7,6,1,8,5]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>0000000
[2,3,8,5,7,1,4,6]=>[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>0000000
[2,3,7,5,6,1,8,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000
[2,3,4,8,6,7,1,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[2,8,4,5,6,7,1,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[3,6,7,4,5,8,1,2]=>[1,3,7,2,6,8,4,5]=>[1,7,3,8,4,2,6,5]=>[8,2,6,1,5,7,3,4]=>0000000
[2,6,7,4,5,1,8,3]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>[8,7,3,1,5,6,2,4]=>0000000
[4,5,3,7,8,6,1,2]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,3,5,6]=>[8,2,1,5,7,6,4,3]=>0000000
[6,3,8,4,5,7,1,2]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[8,2,7,1,5,3,6,4]=>0000000
[3,2,5,6,1,8,7,4]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]=>[8,4,6,7,5,3,1,2]=>0000000
[5,2,4,8,6,1,7,3]=>[1,5,6,2,3,4,8,7]=>[1,6,2,3,5,4,8,7]=>[8,3,7,6,4,5,1,2]=>0000000
[5,1,4,8,6,2,3,7]=>[1,5,6,2,3,4,8,7]=>[1,6,2,3,5,4,8,7]=>[8,3,7,6,4,5,1,2]=>0000000
[7,8,2,3,1,5,6,4]=>[1,7,6,5,2,8,4,3]=>[1,5,4,6,7,8,2,3]=>[8,4,5,3,2,1,7,6]=>0000000
[5,2,3,8,1,6,7,4]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[6,3,8,2,1,7,5,4]=>[1,6,7,5,2,3,8,4]=>[1,5,2,7,8,6,4,3]=>[8,4,7,2,1,3,5,6]=>0000000
[7,8,4,2,6,1,5,3]=>[1,7,5,6,2,8,3,4]=>[1,6,8,3,7,5,2,4]=>[8,3,1,6,2,4,7,5]=>0000000
[5,4,2,8,7,1,6,3]=>[1,5,7,6,2,4,8,3]=>[1,6,7,3,5,8,4,2]=>[8,3,2,6,4,1,5,7]=>0000000
[5,3,1,8,2,7,4,6]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[5,2,1,8,3,4,7,6]=>[1,5,3,2,4,8,6,7]=>[1,3,5,2,4,8,6,7]=>[8,6,4,7,5,1,3,2]=>0000000
[4,8,2,6,5,1,3,7]=>[1,4,6,2,8,7,3,5]=>[1,6,7,4,3,2,8,5]=>[8,3,2,5,6,7,1,4]=>0000000
[7,1,5,4,8,2,6,3]=>[1,7,6,2,3,5,8,4]=>[1,6,2,7,4,8,5,3]=>[8,3,7,2,5,1,4,6]=>0000000
[8,1,5,4,7,6,2,3]=>[1,8,3,5,7,2,4,6]=>[1,7,8,2,3,4,5,6]=>[8,2,1,7,6,5,4,3]=>0000000
[4,1,2,7,8,5,6,3]=>[1,4,7,6,5,8,3,2]=>[1,3,8,4,6,7,5,2]=>[8,6,1,5,3,2,4,7]=>0000000
[6,8,7,1,2,4,3,5]=>[1,6,4,2,8,5,3,7]=>[1,4,6,5,8,3,2,7]=>[8,5,3,4,1,6,7,2]=>0000000
[1,5,7,3,8,4,6,2]=>[1,2,5,8,3,7,6,4]=>[1,2,8,6,5,7,3,4]=>[8,7,1,3,4,2,6,5]=>0000000
[8,1,7,6,5,4,2,3]=>[1,8,3,7,2,4,6,5]=>[1,7,8,2,6,4,3,5]=>[8,2,1,7,3,5,6,4]=>0000000
[2,1,5,4,7,3,8,6]=>[1,2,3,5,7,8,6,4]=>[1,2,3,6,5,8,7,4]=>[8,7,6,3,4,1,2,5]=>0000000
[3,1,5,4,7,6,8,2]=>[1,3,5,7,8,2,4,6]=>[1,8,3,2,5,4,7,6]=>[8,1,6,7,4,5,2,3]=>0000000
[5,3,6,4,7,1,8,2]=>[1,5,7,8,2,3,6,4]=>[1,8,2,6,5,3,7,4]=>[8,1,7,3,4,6,2,5]=>0000000
[5,1,6,3,7,4,8,2]=>[1,5,7,8,2,3,6,4]=>[1,8,2,6,5,3,7,4]=>[8,1,7,3,4,6,2,5]=>0000000
[2,1,6,4,7,5,8,3]=>[1,2,3,6,5,7,8,4]=>[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>0000000
[5,3,6,2,7,4,8,1]=>[1,5,7,8,2,3,6,4]=>[1,8,2,6,5,3,7,4]=>[8,1,7,3,4,6,2,5]=>0000000
[5,2,6,3,7,4,8,1]=>[1,5,7,8,2,3,6,4]=>[1,8,2,6,5,3,7,4]=>[8,1,7,3,4,6,2,5]=>0000000
[3,2,5,1,7,4,8,6]=>[1,3,5,7,8,6,4,2]=>[1,4,3,6,5,8,7,2]=>[8,5,6,3,4,1,2,7]=>0000000
[3,2,4,1,7,5,8,6]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>0000000
[3,1,4,2,7,6,8,5]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>0000000
[3,2,5,1,7,6,8,4]=>[1,3,5,7,8,4,2,6]=>[1,4,3,8,5,2,7,6]=>[8,5,6,1,4,7,2,3]=>0000000
[3,1,5,2,7,6,8,4]=>[1,3,5,7,8,4,2,6]=>[1,4,3,8,5,2,7,6]=>[8,5,6,1,4,7,2,3]=>0000000
[2,1,5,3,7,6,8,4]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[8,7,6,1,4,5,2,3]=>0000000
[2,1,6,3,7,5,8,4]=>[1,2,3,6,5,7,8,4]=>[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>0000000
[5,1,6,4,7,3,8,2]=>[1,5,7,8,2,3,6,4]=>[1,8,2,6,5,3,7,4]=>[8,1,7,3,4,6,2,5]=>0000000
[4,6,3,8,7,1,5,2]=>[1,4,8,2,6,3,5,7]=>[1,8,6,4,3,2,5,7]=>[8,1,3,5,6,7,4,2]=>0000000
[3,6,4,1,8,7,5,2]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>0000000
[2,3,5,7,6,8,1,4]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[8,7,6,1,4,3,5,2]=>0000000
[2,1,6,5,7,8,3,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000
[4,7,3,2,1,5,8,6]=>[1,4,2,7,8,6,5,3]=>[1,4,5,2,6,8,7,3]=>[8,5,4,7,3,1,2,6]=>0000000
[4,7,2,1,3,5,8,6]=>[1,4,2,7,8,6,5,3]=>[1,4,5,2,6,8,7,3]=>[8,5,4,7,3,1,2,6]=>0000000
[8,5,7,3,2,1,6,4]=>[1,8,4,3,7,6,2,5]=>[1,6,4,7,3,8,2,5]=>[8,3,5,2,6,1,7,4]=>0000000
[8,5,3,7,1,6,2,4]=>[1,8,4,7,2,5,3,6]=>[1,7,5,8,2,3,4,6]=>[8,2,4,1,7,6,5,3]=>0000000
[8,1,2,5,6,7,4,3]=>[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>0000000
[8,4,7,6,5,1,3,2]=>[1,8,2,4,6,3,7,5]=>[1,8,6,2,7,4,3,5]=>[8,1,3,7,2,5,6,4]=>0000000
[3,6,2,5,4,8,1,7]=>[1,3,2,6,8,7,4,5]=>[1,3,2,7,4,6,8,5]=>[8,6,7,2,5,3,1,4]=>0000000
[7,2,5,8,4,1,3,6]=>[1,7,3,5,4,8,6,2]=>[1,6,8,5,2,7,4,3]=>[8,3,1,4,7,2,5,6]=>0000000
[3,5,8,7,1,4,6,2]=>[1,3,8,2,5,4,7,6]=>[1,8,3,5,2,7,4,6]=>[8,1,6,4,7,2,5,3]=>0000000
[4,3,7,1,8,6,5,2]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[8,5,7,6,2,1,4,3]=>0000000
[4,8,3,7,6,5,2,1]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[8,2,1,5,6,4,7,3]=>0000000
[1,5,8,6,3,7,4,2]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[6,8,7,3,1,4,5,2]=>[1,6,4,3,7,5,2,8]=>[1,5,4,7,6,2,3,8]=>[8,4,5,2,3,7,6,1]=>0000000
[6,1,7,5,3,2,8,4]=>[1,6,2,3,7,8,4,5]=>[1,6,2,8,4,3,7,5]=>[8,3,7,1,5,6,2,4]=>0000000
[5,2,6,3,8,7,4,1]=>[1,5,8,2,3,6,7,4]=>[1,8,2,7,5,3,6,4]=>[8,1,7,2,4,6,3,5]=>0000000
[7,3,6,2,4,1,8,5]=>[1,7,8,5,4,2,3,6]=>[1,4,2,5,8,3,7,6]=>[8,5,7,4,1,6,2,3]=>0000000
[4,3,7,8,2,1,5,6]=>[1,4,8,6,2,3,7,5]=>[1,6,2,4,8,7,5,3]=>[8,3,7,5,1,2,4,6]=>0000000
[8,3,7,1,4,6,2,5]=>[1,8,5,4,2,3,7,6]=>[1,4,2,5,8,7,3,6]=>[8,5,7,4,1,2,6,3]=>0000000
[8,7,3,6,2,5,4,1]=>[1,8,2,7,4,6,5,3]=>[1,8,5,6,7,3,2,4]=>[8,1,4,3,2,6,7,5]=>0000000
[5,8,3,7,1,6,2,4]=>[1,5,2,8,4,7,3,6]=>[1,5,7,8,2,3,4,6]=>[8,4,2,1,7,6,5,3]=>0000000
[5,2,7,1,8,6,4,3]=>[1,5,8,3,7,4,2,6]=>[1,4,7,8,5,3,2,6]=>[8,5,2,1,4,6,7,3]=>0000000
[4,7,1,8,6,2,5,3]=>[1,4,8,3,2,7,5,6]=>[1,3,8,4,7,5,2,6]=>[8,6,1,5,2,4,7,3]=>0000000
[5,6,3,2,1,4,8,7]=>[1,5,2,6,4,3,7,8]=>[1,5,4,6,2,3,7,8]=>[8,4,5,3,7,6,2,1]=>0000000
[5,7,4,6,2,8,3,1]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[2,1,8,5,7,3,4,6]=>[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>0000000
[2,4,6,3,7,5,8,1]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[2,3,8,1,6,7,5,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[4,3,7,2,6,8,5,1]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000
[2,8,1,3,6,5,7,4]=>[1,2,8,4,3,5,6,7]=>[1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>0000000
[8,1,2,3,5,6,7,4]=>[1,8,4,3,2,5,6,7]=>[1,3,4,8,2,5,6,7]=>[8,6,5,1,7,4,3,2]=>0000000
[8,3,6,1,4,2,7,5]=>[1,8,5,4,2,3,6,7]=>[1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>0000000
[5,3,6,1,8,7,2,4]=>[1,5,8,4,2,3,6,7]=>[1,4,2,8,5,3,6,7]=>[8,5,7,1,4,6,3,2]=>0000000
[8,1,6,4,5,7,2,3]=>[1,8,3,6,7,2,4,5]=>[1,7,8,2,4,3,6,5]=>[8,2,1,7,5,6,3,4]=>0000000
[5,8,3,6,1,7,2,4]=>[1,5,2,8,4,6,7,3]=>[1,5,7,8,2,4,6,3]=>[8,4,2,1,7,5,3,6]=>0000000
[2,1,8,6,5,7,3,4]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[8,7,6,1,2,5,3,4]=>0000000
[2,1,7,5,3,6,8,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000
[8,5,2,7,4,1,6,3]=>[1,8,3,2,5,4,7,6]=>[1,3,8,5,2,7,4,6]=>[8,6,1,4,7,2,5,3]=>0000000
[2,5,7,3,8,6,4,1]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[8,7,1,2,4,5,6,3]=>0000000
[2,1,6,7,4,8,5,3]=>[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,4,5]=>[8,7,6,1,2,3,5,4]=>0000000
[4,3,1,8,6,7,5,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>0000000
[7,3,5,4,8,6,1,2]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>0000000
[5,7,3,6,1,8,2,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[2,7,6,4,5,8,1,3]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>[8,7,2,1,5,6,3,4]=>0000000
[5,7,1,6,8,2,4,3]=>[1,5,8,3,2,7,4,6]=>[1,3,8,7,5,4,2,6]=>[8,6,1,2,4,5,7,3]=>0000000
[8,6,2,5,1,7,4,3]=>[1,8,3,2,6,7,4,5]=>[1,3,8,7,4,2,6,5]=>[8,6,1,2,5,7,3,4]=>0000000
[7,5,2,6,3,8,1,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[8,2,4,6,7,5,3,1]=>0000000
[7,5,2,8,3,4,6,1]=>[1,7,6,4,8,2,5,3]=>[1,8,5,6,2,7,4,3]=>[8,1,4,3,7,2,5,6]=>0000000
[8,7,2,1,4,5,6,3]=>[1,8,3,2,7,6,5,4]=>[1,3,8,5,6,7,2,4]=>[8,6,1,4,3,2,7,5]=>0000000
[5,7,3,8,1,4,6,2]=>[1,5,2,7,6,4,8,3]=>[1,5,8,6,2,7,4,3]=>[8,4,1,3,7,2,5,6]=>0000000
[2,1,7,8,5,4,6,3]=>[1,2,3,7,6,4,8,5]=>[1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>0000000
[7,5,8,4,3,6,2,1]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[8,2,4,1,7,5,6,3]=>0000000
[4,8,2,3,5,1,6,7]=>[1,4,3,2,8,7,6,5]=>[1,3,4,2,6,7,8,5]=>[8,6,5,7,3,2,1,4]=>0000000
[7,8,1,4,6,2,5,3]=>[1,7,5,6,2,8,3,4]=>[1,6,8,3,7,5,2,4]=>[8,3,1,6,2,4,7,5]=>0000000
[7,8,3,5,4,2,1,6]=>[1,7,2,8,6,3,4,5]=>[1,7,6,3,4,8,2,5]=>[8,2,3,6,5,1,7,4]=>0000000
[7,8,2,6,4,1,3,5]=>[1,7,3,2,8,5,4,6]=>[1,3,7,5,8,4,2,6]=>[8,6,2,4,1,5,7,3]=>0000000
[2,1,8,7,5,4,3,6]=>[1,2,3,8,6,4,7,5]=>[1,2,3,6,8,7,5,4]=>[8,7,6,3,1,2,4,5]=>0000000
[2,6,1,4,7,3,5,8]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[1,5,8,6,2,7,3,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[5,7,6,4,3,8,1,2]=>[1,5,3,6,8,2,7,4]=>[1,8,5,7,3,6,2,4]=>[8,1,4,2,6,3,7,5]=>0000000
[1,6,2,4,7,8,3,5]=>[1,2,6,8,5,7,3,4]=>[1,2,7,3,8,6,5,4]=>[8,7,2,6,1,3,4,5]=>0000000
[5,7,2,4,1,6,3,8]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[4,1,7,2,6,5,3,8]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000
[4,2,7,8,1,6,3,5]=>[1,4,8,5,2,3,7,6]=>[1,5,2,4,8,7,3,6]=>[8,4,7,5,1,2,6,3]=>0000000
[2,1,8,7,6,5,3,4]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>0000000
[4,2,7,1,6,3,8,5]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[8,5,7,6,1,4,2,3]=>0000000
[2,8,6,7,5,1,3,4]=>[1,2,8,4,7,3,6,5]=>[1,2,7,8,6,3,4,5]=>[8,7,2,1,3,6,5,4]=>0000000
[7,8,1,2,5,4,6,3]=>[1,7,6,4,2,8,3,5]=>[1,4,6,7,3,8,2,5]=>[8,5,3,2,6,1,7,4]=>0000000
[2,6,8,3,1,4,7,5]=>[1,2,6,4,3,8,5,7]=>[1,2,4,6,8,3,5,7]=>[8,7,5,3,1,6,4,2]=>0000000
[4,7,2,8,1,3,6,5]=>[1,4,8,5,2,7,6,3]=>[1,5,8,4,6,7,3,2]=>[8,4,1,5,3,2,6,7]=>0000000
[1,4,2,8,3,6,5,7]=>[1,2,4,8,7,5,3,6]=>[1,2,5,4,7,3,8,6]=>[8,7,4,5,2,6,1,3]=>0000000
[1,3,2,8,4,6,5,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[1,2,3,8,4,6,5,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[1,8,2,5,3,6,4,7]=>[1,2,8,7,4,5,3,6]=>[1,2,5,7,4,3,8,6]=>[8,7,4,2,5,6,1,3]=>0000000
[1,6,2,4,3,8,5,7]=>[1,2,6,8,7,5,3,4]=>[1,2,5,3,7,6,8,4]=>[8,7,4,6,2,3,1,5]=>0000000
[1,6,2,5,3,8,4,7]=>[1,2,6,8,7,4,5,3]=>[1,2,5,7,4,6,8,3]=>[8,7,4,2,5,3,1,6]=>0000000
[1,8,2,6,3,7,4,5]=>[1,2,8,5,3,4,6,7]=>[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>0000000
[1,7,2,6,3,8,4,5]=>[1,2,7,4,6,8,5,3]=>[1,2,5,8,7,3,6,4]=>[8,7,4,1,2,6,3,5]=>0000000
[1,2,3,8,4,7,5,6]=>[1,2,3,4,8,6,7,5]=>[1,2,3,4,7,8,6,5]=>[8,7,6,5,2,1,3,4]=>0000000
[1,3,2,8,4,7,5,6]=>[1,2,3,4,8,6,7,5]=>[1,2,3,4,7,8,6,5]=>[8,7,6,5,2,1,3,4]=>0000000
[1,6,2,8,3,7,4,5]=>[1,2,6,7,4,8,5,3]=>[1,2,5,8,7,6,3,4]=>[8,7,4,1,2,3,6,5]=>0000000
[1,7,2,8,3,6,4,5]=>[1,2,7,4,8,5,3,6]=>[1,2,5,8,7,4,3,6]=>[8,7,4,1,2,5,6,3]=>0000000
[2,8,4,1,5,6,7,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[2,8,7,4,1,6,3,5]=>[1,2,8,5,3,7,4,6]=>[1,2,5,8,7,3,4,6]=>[8,7,4,1,2,6,5,3]=>0000000
[1,3,7,5,4,2,6,8]=>[1,2,3,7,6,4,5,8]=>[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>0000000
[7,2,8,5,4,1,6,3]=>[1,7,6,2,3,8,4,5]=>[1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>0000000
[2,8,7,6,1,4,5,3]=>[1,2,8,3,7,5,4,6]=>[1,2,8,5,7,4,3,6]=>[8,7,1,4,2,5,6,3]=>0000000
[7,2,8,4,5,6,1,3]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[8,2,7,1,5,4,6,3]=>0000000
[4,3,7,1,5,6,8,2]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[8,5,7,6,1,4,2,3]=>0000000
[6,5,2,7,4,1,8,3]=>[1,6,2,5,4,7,8,3]=>[1,6,8,5,2,4,7,3]=>[8,3,1,4,7,5,2,6]=>0000000
[6,3,5,8,2,7,4,1]=>[1,6,7,4,8,2,3,5]=>[1,8,2,7,3,6,4,5]=>[8,1,7,2,6,3,5,4]=>0000000
[6,1,2,8,4,5,7,3]=>[1,6,5,4,8,3,2,7]=>[1,3,8,5,6,4,2,7]=>[8,6,1,4,3,5,7,2]=>0000000
[5,6,8,2,3,1,7,4]=>[1,5,3,8,4,2,6,7]=>[1,4,8,5,2,3,6,7]=>[8,5,1,4,7,6,3,2]=>0000000
[6,5,8,2,4,3,1,7]=>[1,6,3,8,7,2,5,4]=>[1,7,6,5,2,3,8,4]=>[8,2,3,4,7,6,1,5]=>0000000
[4,1,8,3,5,6,7,2]=>[1,4,3,8,2,5,6,7]=>[1,8,4,3,2,5,6,7]=>[8,1,5,6,7,4,3,2]=>0000000
[2,3,4,8,6,1,7,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[2,3,4,8,6,5,1,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[2,7,3,5,8,6,1,4]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>0000000
[5,2,4,7,1,8,3,6]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000
[7,3,5,6,8,4,2,1]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>0000000
[6,3,5,1,8,2,7,4]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>[8,3,7,1,6,4,5,2]=>0000000
[3,2,4,1,7,8,5,6]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>0000000
[6,4,7,5,1,3,8,2]=>[1,6,3,7,8,2,4,5]=>[1,8,6,2,4,3,7,5]=>[8,1,3,7,5,6,2,4]=>0000000
[2,3,8,1,5,4,7,6]=>[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>0000000
[2,4,8,5,1,3,7,6]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>[8,7,4,5,6,1,3,2]=>0000000
[1,8,7,5,6,3,4,2]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[8,7,1,2,5,4,6,3]=>0000000
[2,5,8,6,7,1,3,4]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[8,7,2,1,4,5,6,3]=>0000000
[2,4,8,6,1,7,3,5]=>[1,2,4,6,7,3,8,5]=>[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>0000000
[3,2,1,8,6,7,4,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>0000000
[5,3,6,1,7,8,2,4]=>[1,5,7,2,3,6,8,4]=>[1,7,2,8,5,3,6,4]=>[8,2,7,1,4,6,3,5]=>0000000
[1,8,4,6,2,7,3,5]=>[1,2,8,5,3,4,6,7]=>[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>0000000
[5,7,3,2,6,8,4,1]=>[1,5,6,8,2,7,4,3]=>[1,8,4,7,5,6,2,3]=>[8,1,5,2,4,3,7,6]=>0000000
[5,2,1,4,3,8,7,6]=>[1,5,3,2,4,6,8,7]=>[1,3,5,2,4,6,8,7]=>[8,6,4,7,5,3,1,2]=>0000000
[5,3,4,1,2,8,7,6]=>[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>0000000
[3,5,7,8,6,1,4,2]=>[1,3,7,4,8,2,5,6]=>[1,8,3,7,2,5,4,6]=>[8,1,6,2,7,4,5,3]=>0000000
[4,2,1,7,8,6,5,3]=>[1,4,7,5,8,3,2,6]=>[1,3,8,4,7,2,5,6]=>[8,6,1,5,2,7,4,3]=>0000000
[2,3,8,1,7,6,5,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>0000000
[2,4,8,7,1,6,5,3]=>[1,2,4,7,5,3,8,6]=>[1,2,5,4,7,8,3,6]=>[8,7,4,5,2,1,6,3]=>0000000
[8,1,2,4,3,6,5,7]=>[1,8,7,5,3,2,4,6]=>[1,3,5,2,7,4,8,6]=>[8,6,4,7,2,5,1,3]=>0000000
[8,1,5,3,7,2,6,4]=>[1,8,4,3,5,7,6,2]=>[1,6,4,7,2,8,5,3]=>[8,3,5,2,7,1,4,6]=>0000000
[4,7,8,5,6,1,2,3]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>0000000
[4,6,5,8,7,1,2,3]=>[1,4,8,3,5,7,2,6]=>[1,7,8,4,3,2,5,6]=>[8,2,1,5,6,7,4,3]=>0000000
[6,4,5,1,7,8,2,3]=>[1,6,8,3,5,7,2,4]=>[1,7,8,2,3,6,5,4]=>[8,2,1,7,6,3,4,5]=>0000000
[6,5,4,1,8,7,2,3]=>[1,6,7,2,5,8,3,4]=>[1,7,8,3,2,6,5,4]=>[8,2,1,6,7,3,4,5]=>0000000
[7,5,1,4,8,6,2,3]=>[1,7,2,5,8,3,4,6]=>[1,7,8,3,2,4,5,6]=>[8,2,1,6,7,5,4,3]=>0000000
[6,4,2,1,3,8,5,7]=>[1,6,8,7,5,3,2,4]=>[1,3,5,2,7,6,8,4]=>[8,6,4,7,2,3,1,5]=>0000000
[2,6,5,8,7,3,4,1]=>[1,2,6,3,5,7,4,8]=>[1,2,6,7,3,5,4,8]=>[8,7,3,2,6,4,5,1]=>0000000
[7,5,1,2,8,3,4,6]=>[1,7,4,2,5,8,6,3]=>[1,4,7,6,3,8,5,2]=>[8,5,2,3,6,1,4,7]=>0000000
[6,7,8,1,4,5,2,3]=>[1,6,5,4,2,7,3,8]=>[1,4,5,6,7,2,3,8]=>[8,5,4,3,2,7,6,1]=>0000000
[5,3,6,7,1,2,8,4]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>0000000
[4,5,7,3,1,8,6,2]=>[1,4,3,7,6,8,2,5]=>[1,8,4,3,2,7,6,5]=>[8,1,5,6,7,2,3,4]=>0000000
[6,4,2,1,8,7,5,3]=>[1,6,7,5,8,3,2,4]=>[1,3,8,2,7,6,5,4]=>[8,6,1,7,2,3,4,5]=>0000000
[4,5,7,1,6,8,2,3]=>[1,4,2,5,6,8,3,7]=>[1,4,8,2,5,6,3,7]=>[8,5,1,7,4,3,6,2]=>0000000
[6,4,1,2,8,5,3,7]=>[1,6,5,8,7,3,2,4]=>[1,3,7,2,6,5,8,4]=>[8,6,2,7,3,4,1,5]=>0000000
[3,6,7,1,5,8,2,4]=>[1,3,7,2,6,8,4,5]=>[1,7,3,8,4,2,6,5]=>[8,2,6,1,5,7,3,4]=>0000000
[7,5,1,6,8,4,2,3]=>[1,7,2,5,8,3,4,6]=>[1,7,8,3,2,4,5,6]=>[8,2,1,6,7,5,4,3]=>0000000
[7,4,1,6,8,5,2,3]=>[1,7,2,4,6,5,8,3]=>[1,7,8,2,6,4,5,3]=>[8,2,1,7,3,5,4,6]=>0000000
[5,2,3,1,8,6,7,4]=>[1,5,8,4,2,3,6,7]=>[1,4,2,8,5,3,6,7]=>[8,5,7,1,4,6,3,2]=>0000000
[7,3,1,5,8,6,2,4]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>0000000
[7,1,5,3,8,2,6,4]=>[1,7,6,2,3,5,8,4]=>[1,6,2,7,4,8,5,3]=>[8,3,7,2,5,1,4,6]=>0000000
[7,3,1,4,8,6,2,5]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>0000000
[3,6,7,1,4,8,2,5]=>[1,3,7,2,6,8,5,4]=>[1,7,3,5,8,2,6,4]=>[8,2,6,4,1,7,3,5]=>0000000
[5,1,3,2,8,4,7,6]=>[1,5,8,6,4,2,3,7]=>[1,4,2,6,5,8,3,7]=>[8,5,7,3,4,1,6,2]=>0000000
[2,6,1,4,7,8,3,5]=>[1,2,6,8,5,7,3,4]=>[1,2,7,3,8,6,5,4]=>[8,7,2,6,1,3,4,5]=>0000000
[1,3,8,4,7,2,5,6]=>[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>0000000
[1,4,6,8,3,7,5,2]=>[1,2,4,8,3,6,7,5]=>[1,2,8,4,7,3,6,5]=>[8,7,1,5,2,6,3,4]=>0000000
[1,6,2,4,7,3,8,5]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[7,5,3,6,2,4,1,8]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[8,2,4,6,7,5,3,1]=>0000000
[5,7,3,6,1,4,8,2]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[8,4,1,6,7,5,2,3]=>0000000
[5,3,6,7,2,1,8,4]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>0000000
[6,4,7,3,5,8,1,2]=>[1,6,8,2,4,3,7,5]=>[1,8,4,2,7,6,3,5]=>[8,1,5,7,2,3,6,4]=>0000000
[3,6,5,7,8,2,1,4]=>[1,3,5,8,4,7,2,6]=>[1,7,3,8,5,2,4,6]=>[8,2,6,1,4,7,5,3]=>0000000
[3,7,6,8,5,4,1,2]=>[1,3,6,4,8,2,7,5]=>[1,8,3,6,7,4,2,5]=>[8,1,6,3,2,5,7,4]=>0000000
[4,2,8,1,6,3,7,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[3,1,8,5,4,6,7,2]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>0000000
[3,4,2,8,6,1,7,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>0000000
[6,7,1,5,2,8,3,4]=>[1,6,8,4,5,2,7,3]=>[1,5,7,8,4,6,2,3]=>[8,4,2,1,5,3,7,6]=>0000000
[6,8,1,2,3,4,7,5]=>[1,6,4,2,8,5,3,7]=>[1,4,6,5,8,3,2,7]=>[8,5,3,4,1,6,7,2]=>0000000
[2,5,1,7,8,3,6,4]=>[1,2,5,8,4,7,6,3]=>[1,2,6,7,5,8,3,4]=>[8,7,3,2,4,1,6,5]=>0000000
[1,4,2,7,5,8,6,3]=>[1,2,4,7,6,8,3,5]=>[1,2,8,4,3,7,6,5]=>[8,7,1,5,6,2,3,4]=>0000000
[6,4,8,3,1,7,2,5]=>[1,6,7,2,4,3,8,5]=>[1,7,4,2,8,6,3,5]=>[8,2,5,7,1,3,6,4]=>0000000
[6,4,2,8,7,1,3,5]=>[1,6,2,4,8,5,7,3]=>[1,6,7,2,8,4,5,3]=>[8,3,2,7,1,5,4,6]=>0000000
[5,8,7,4,1,6,2,3]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>0000000
[4,5,1,2,6,8,7,3]=>[1,4,2,5,6,8,3,7]=>[1,4,8,2,5,6,3,7]=>[8,5,1,7,4,3,6,2]=>0000000
[3,5,2,7,8,1,6,4]=>[1,3,2,5,8,4,7,6]=>[1,3,2,8,5,7,4,6]=>[8,6,7,1,4,2,5,3]=>0000000
[1,2,7,5,3,8,6,4]=>[1,2,3,7,6,8,4,5]=>[1,2,3,8,4,7,6,5]=>[8,7,6,1,5,2,3,4]=>0000000
[7,1,4,2,5,3,8,6]=>[1,7,8,6,3,4,2,5]=>[1,4,6,3,2,8,7,5]=>[8,5,3,6,7,1,2,4]=>0000000
[1,3,7,2,4,8,6,5]=>[1,2,3,7,6,8,5,4]=>[1,2,3,5,8,7,6,4]=>[8,7,6,4,1,2,3,5]=>0000000
[6,3,7,4,5,1,8,2]=>[1,6,2,3,7,8,4,5]=>[1,6,2,8,4,3,7,5]=>[8,3,7,1,5,6,2,4]=>0000000
[5,7,4,6,2,8,1,3]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[4,8,3,1,7,2,5,6]=>[1,4,2,8,6,3,5,7]=>[1,4,6,2,3,8,5,7]=>[8,5,3,7,6,1,4,2]=>0000000
[5,2,8,4,7,1,6,3]=>[1,5,7,6,2,3,8,4]=>[1,6,2,7,5,8,4,3]=>[8,3,7,2,4,1,5,6]=>0000000
[5,1,8,4,2,7,3,6]=>[1,5,2,3,8,6,7,4]=>[1,5,2,7,3,8,6,4]=>[8,4,7,2,6,1,3,5]=>0000000
[5,6,7,3,1,8,4,2]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>[8,4,1,2,7,3,6,5]=>0000000
[3,8,2,4,6,7,1,5]=>[1,3,2,8,5,6,7,4]=>[1,3,2,7,8,5,6,4]=>[8,6,7,2,1,4,3,5]=>0000000
[8,1,6,5,2,3,7,4]=>[1,8,4,5,2,3,6,7]=>[1,5,2,8,4,3,6,7]=>[8,4,7,1,5,6,3,2]=>0000000
[1,2,8,3,7,4,5,6]=>[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>0000000
[8,1,7,2,6,3,5,4]=>[1,8,4,2,3,7,5,6]=>[1,4,2,8,7,5,3,6]=>[8,5,7,1,2,4,6,3]=>0000000
[5,1,8,3,2,7,4,6]=>[1,5,2,3,8,6,7,4]=>[1,5,2,7,3,8,6,4]=>[8,4,7,2,6,1,3,5]=>0000000
[3,2,8,7,1,6,5,4]=>[1,3,8,4,7,5,2,6]=>[1,5,3,7,8,4,2,6]=>[8,4,6,2,1,5,7,3]=>0000000
[5,8,7,2,1,6,4,3]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>0000000
[8,7,6,1,5,4,3,2]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>0000000
[8,6,7,1,4,5,3,2]=>[1,8,2,6,5,4,3,7]=>[1,8,4,5,6,2,3,7]=>[8,1,5,4,3,7,6,2]=>0000000
[7,5,8,3,1,4,6,2]=>[1,7,6,4,3,8,2,5]=>[1,8,4,6,2,7,3,5]=>[8,1,5,3,7,2,6,4]=>0000000
[8,4,3,7,1,6,5,2]=>[1,8,2,4,7,5,3,6]=>[1,8,5,2,7,3,4,6]=>[8,1,4,7,2,6,5,3]=>0000000
[5,4,3,2,8,1,7,6]=>[1,5,8,6,2,4,3,7]=>[1,6,4,2,5,8,3,7]=>[8,3,5,7,4,1,6,2]=>0000000
[6,7,1,2,4,5,3,8]=>[1,6,5,4,2,7,3,8]=>[1,4,5,6,7,2,3,8]=>[8,5,4,3,2,7,6,1]=>0000000
[8,6,1,2,5,3,7,4]=>[1,8,4,2,6,3,5,7]=>[1,4,8,6,2,3,5,7]=>[8,5,1,3,7,6,4,2]=>0000000
[7,8,1,2,3,5,6,4]=>[1,7,6,5,3,2,8,4]=>[1,3,5,6,7,8,2,4]=>[8,6,4,3,2,1,7,5]=>0000000
[4,3,1,7,6,8,5,2]=>[1,4,7,5,6,8,2,3]=>[1,8,2,4,7,5,6,3]=>[8,1,7,5,2,4,3,6]=>0000000
[4,2,8,7,1,6,3,5]=>[1,4,7,3,8,5,2,6]=>[1,5,8,4,7,3,2,6]=>[8,4,1,5,2,6,7,3]=>0000000
[6,7,8,2,1,4,3,5]=>[1,6,4,2,7,3,8,5]=>[1,4,6,7,8,3,2,5]=>[8,5,3,2,1,6,7,4]=>0000000
[4,8,1,7,2,3,5,6]=>[1,4,7,5,2,8,6,3]=>[1,5,7,4,6,8,3,2]=>[8,4,2,5,3,1,6,7]=>0000000
[1,8,2,3,4,5,7,6]=>[1,2,8,6,5,4,3,7]=>[1,2,4,5,6,8,3,7]=>[8,7,5,4,3,1,6,2]=>0000000
[3,4,7,1,8,6,5,2]=>[1,3,7,5,8,2,4,6]=>[1,8,3,2,7,4,5,6]=>[8,1,6,7,2,5,4,3]=>0000000
[6,3,8,4,2,7,1,5]=>[1,6,7,2,3,8,5,4]=>[1,7,2,5,8,6,3,4]=>[8,2,7,4,1,3,6,5]=>0000000
[3,6,4,2,8,7,5,1]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>0000000
[6,5,2,7,4,8,1,3]=>[1,6,8,3,2,5,4,7]=>[1,3,8,5,2,6,4,7]=>[8,6,1,4,7,3,5,2]=>0000000
[6,3,7,4,2,8,5,1]=>[1,6,8,2,3,7,5,4]=>[1,8,2,5,7,6,3,4]=>[8,1,7,4,2,3,6,5]=>0000000
[8,7,1,6,2,4,5,3]=>[1,8,3,2,7,5,4,6]=>[1,3,8,5,7,4,2,6]=>[8,6,1,4,2,5,7,3]=>0000000
[5,4,2,7,3,6,8,1]=>[1,5,3,2,4,7,8,6]=>[1,3,5,2,4,8,7,6]=>[8,6,4,7,5,1,2,3]=>0000000
[4,2,5,7,3,6,8,1]=>[1,4,7,8,2,3,5,6]=>[1,8,2,4,3,5,7,6]=>[8,1,7,5,6,4,2,3]=>0000000
[7,8,1,6,3,2,5,4]=>[1,7,5,3,2,8,4,6]=>[1,3,5,7,8,2,4,6]=>[8,6,4,2,1,7,5,3]=>0000000
[2,8,1,7,3,5,6,4]=>[1,2,8,4,7,6,5,3]=>[1,2,5,6,7,8,4,3]=>[8,7,4,3,2,1,5,6]=>0000000
[4,2,8,5,7,3,6,1]=>[1,4,5,7,6,3,8,2]=>[1,8,6,4,5,7,3,2]=>[8,1,3,5,4,2,6,7]=>0000000
[4,7,5,6,8,3,2,1]=>[1,4,6,3,5,8,2,7]=>[1,8,6,4,3,5,2,7]=>[8,1,3,5,6,4,7,2]=>0000000
[6,5,4,8,2,7,3,1]=>[1,6,7,3,4,8,2,5]=>[1,8,7,3,2,6,4,5]=>[8,1,2,6,7,3,5,4]=>0000000
[8,6,4,7,5,3,2,1]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[8,1,3,6,2,7,5,4]=>0000000
[5,1,8,3,7,6,2,4]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[8,2,7,1,4,5,6,3]=>0000000
[2,3,8,7,4,5,6,1]=>[1,2,3,8,4,7,6,5]=>[1,2,3,8,6,7,4,5]=>[8,7,6,1,3,2,5,4]=>0000000
[2,1,8,7,5,6,3,4]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>0000000
[4,7,1,8,6,5,2,3]=>[1,4,8,3,2,7,5,6]=>[1,3,8,4,7,5,2,6]=>[8,6,1,5,2,4,7,3]=>0000000
[6,7,4,8,3,5,1,2]=>[1,6,5,3,4,8,2,7]=>[1,8,5,3,6,4,2,7]=>[8,1,4,6,3,5,7,2]=>0000000
[5,7,4,6,2,3,1,8]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[5,7,4,8,3,6,1,2]=>[1,5,3,4,8,2,7,6]=>[1,8,5,3,4,7,2,6]=>[8,1,4,6,5,2,7,3]=>0000000
[5,6,3,8,2,4,1,7]=>[1,5,2,6,4,8,7,3]=>[1,5,7,6,2,4,8,3]=>[8,4,2,3,7,5,1,6]=>0000000
[7,8,3,5,2,6,1,4]=>[1,7,2,8,4,5,3,6]=>[1,7,5,8,4,3,2,6]=>[8,2,4,1,5,6,7,3]=>0000000
[6,8,3,5,2,7,1,4]=>[1,6,7,2,8,4,5,3]=>[1,7,5,8,4,6,2,3]=>[8,2,4,1,5,3,7,6]=>0000000
[5,8,3,6,2,7,1,4]=>[1,5,2,8,4,6,7,3]=>[1,5,7,8,2,4,6,3]=>[8,4,2,1,7,5,3,6]=>0000000
[4,6,3,8,2,7,1,5]=>[1,4,8,5,2,6,7,3]=>[1,5,8,4,7,3,6,2]=>[8,4,1,5,2,6,3,7]=>0000000
[4,7,3,8,2,6,1,5]=>[1,4,8,5,2,7,3,6]=>[1,5,8,4,7,2,3,6]=>[8,4,1,5,2,7,6,3]=>0000000
[5,7,3,6,2,8,1,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[5,7,3,6,2,4,1,8]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[6,7,3,5,2,8,1,4]=>[1,6,8,4,5,2,7,3]=>[1,5,7,8,4,6,2,3]=>[8,4,2,1,5,3,7,6]=>0000000
[5,7,3,4,2,6,1,8]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[5,7,3,4,2,8,1,6]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[5,8,3,7,2,4,1,6]=>[1,5,2,8,6,4,7,3]=>[1,5,7,6,2,8,4,3]=>[8,4,2,3,7,1,5,6]=>0000000
[4,8,3,5,2,7,1,6]=>[1,4,5,2,8,6,7,3]=>[1,5,7,4,2,8,6,3]=>[8,4,2,5,7,1,3,6]=>0000000
[6,8,3,4,2,7,1,5]=>[1,6,7,2,8,5,3,4]=>[1,7,5,3,8,6,2,4]=>[8,2,4,6,1,3,7,5]=>0000000
[4,5,3,6,2,8,1,7]=>[1,4,6,8,7,2,5,3]=>[1,7,5,4,2,6,8,3]=>[8,2,4,5,7,3,1,6]=>0000000
[8,4,7,3,6,2,5,1]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[8,1,5,7,2,4,6,3]=>0000000
[7,8,4,2,6,5,3,1]=>[1,7,3,4,2,8,5,6]=>[1,4,7,3,8,5,2,6]=>[8,5,2,6,1,4,7,3]=>0000000
[3,7,1,8,6,4,5,2]=>[1,3,2,7,5,6,4,8]=>[1,3,2,6,7,5,4,8]=>[8,6,7,3,2,4,5,1]=>0000000
[6,7,4,2,8,1,5,3]=>[1,6,2,7,5,8,3,4]=>[1,6,8,3,7,2,5,4]=>[8,3,1,6,2,7,4,5]=>0000000
[2,1,8,6,7,5,3,4]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>0000000
[2,1,7,6,8,3,5,4]=>[1,2,3,7,5,8,4,6]=>[1,2,3,8,7,4,5,6]=>[8,7,6,1,2,5,4,3]=>0000000
[5,1,8,4,7,6,2,3]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[8,2,7,1,4,5,6,3]=>0000000
[8,1,3,7,4,6,5,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[5,2,8,7,4,6,1,3]=>[1,5,4,7,2,3,8,6]=>[1,7,2,5,4,8,3,6]=>[8,2,7,4,5,1,6,3]=>0000000
[6,1,8,3,4,5,7,2]=>[1,6,5,4,3,8,2,7]=>[1,8,4,5,6,3,2,7]=>[8,1,5,4,3,6,7,2]=>0000000
[2,3,8,5,6,1,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[7,5,3,6,2,8,1,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[8,2,4,6,7,5,3,1]=>0000000
[7,2,1,3,8,6,4,5]=>[1,7,4,3,2,5,8,6]=>[1,3,4,7,2,8,5,6]=>[8,6,5,2,7,1,4,3]=>0000000
[8,6,1,3,7,2,4,5]=>[1,8,5,7,4,3,2,6]=>[1,3,4,7,8,2,5,6]=>[8,6,5,2,1,7,4,3]=>0000000
[5,1,8,3,2,4,6,7]=>[1,5,2,3,8,7,6,4]=>[1,5,2,6,3,7,8,4]=>[8,4,7,3,6,2,1,5]=>0000000
[1,4,2,7,8,6,3,5]=>[1,2,4,7,3,5,8,6]=>[1,2,7,4,3,8,5,6]=>[8,7,2,5,6,1,4,3]=>0000000
[4,7,2,8,6,1,5,3]=>[1,4,8,3,2,7,5,6]=>[1,3,8,4,7,5,2,6]=>[8,6,1,5,2,4,7,3]=>0000000
[4,2,5,7,8,6,1,3]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>[8,2,7,5,6,1,4,3]=>0000000
[1,3,6,4,8,5,7,2]=>[1,2,3,6,5,8,4,7]=>[1,2,3,8,6,5,4,7]=>[8,7,6,1,3,4,5,2]=>0000000
[1,3,6,4,7,5,8,2]=>[1,2,3,6,5,7,8,4]=>[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>0000000
[6,2,7,3,5,1,8,4]=>[1,6,2,3,7,8,4,5]=>[1,6,2,8,4,3,7,5]=>[8,3,7,1,5,6,2,4]=>0000000
[7,2,5,1,8,3,4,6]=>[1,7,4,2,3,5,8,6]=>[1,4,2,7,3,8,5,6]=>[8,5,7,2,6,1,4,3]=>0000000
[1,7,5,3,4,6,8,2]=>[1,2,7,8,3,5,4,6]=>[1,2,8,5,3,4,7,6]=>[8,7,1,4,6,5,2,3]=>0000000
[8,2,7,4,1,3,5,6]=>[1,8,6,3,7,5,2,4]=>[1,5,7,3,6,8,2,4]=>[8,4,2,6,3,1,7,5]=>0000000
[1,2,8,4,3,5,6,7]=>[1,2,3,8,7,6,5,4]=>[1,2,3,5,6,7,8,4]=>[8,7,6,4,3,2,1,5]=>0000000
[6,8,7,3,2,5,1,4]=>[1,6,5,2,8,4,3,7]=>[1,5,4,6,8,3,2,7]=>[8,4,5,3,1,6,7,2]=>0000000
[5,3,8,1,2,7,4,6]=>[1,5,2,3,8,6,7,4]=>[1,5,2,7,3,8,6,4]=>[8,4,7,2,6,1,3,5]=>0000000
[1,6,3,2,7,8,4,5]=>[1,2,6,8,5,7,4,3]=>[1,2,4,7,8,6,5,3]=>[8,7,5,2,1,3,4,6]=>0000000
[4,6,2,7,8,1,5,3]=>[1,4,7,5,8,3,2,6]=>[1,3,8,4,7,2,5,6]=>[8,6,1,5,2,7,4,3]=>0000000
[1,6,4,7,8,3,5,2]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>0000000
[1,8,3,2,4,5,6,7]=>[1,2,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,3]=>[8,7,5,4,3,2,1,6]=>0000000
[6,8,3,7,5,1,4,2]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[8,3,1,6,2,7,5,4]=>0000000
[7,5,8,4,2,6,1,3]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[8,2,4,1,7,5,6,3]=>0000000
[8,6,3,7,5,2,4,1]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[8,1,3,6,2,7,5,4]=>0000000
[6,8,1,7,4,5,2,3]=>[1,6,5,4,7,2,8,3]=>[1,7,8,5,6,4,2,3]=>[8,2,1,4,3,5,7,6]=>0000000
[1,8,6,7,3,5,2,4]=>[1,2,8,4,7,3,6,5]=>[1,2,7,8,6,3,4,5]=>[8,7,2,1,3,6,5,4]=>0000000
[6,8,1,7,3,5,2,4]=>[1,6,5,3,2,8,4,7]=>[1,3,5,6,8,4,2,7]=>[8,6,4,3,1,5,7,2]=>0000000
[1,8,6,7,2,5,3,4]=>[1,2,8,4,7,3,6,5]=>[1,2,7,8,6,3,4,5]=>[8,7,2,1,3,6,5,4]=>0000000
[1,8,5,7,2,6,3,4]=>[1,2,8,4,7,3,5,6]=>[1,2,7,8,3,5,4,6]=>[8,7,2,1,6,4,5,3]=>0000000
[5,8,1,7,2,6,3,4]=>[1,5,2,8,4,7,3,6]=>[1,5,7,8,2,3,4,6]=>[8,4,2,1,7,6,5,3]=>0000000
[5,8,2,7,1,6,3,4]=>[1,5,2,8,4,7,3,6]=>[1,5,7,8,2,3,4,6]=>[8,4,2,1,7,6,5,3]=>0000000
[6,8,2,7,3,5,1,4]=>[1,6,5,3,2,8,4,7]=>[1,3,5,6,8,4,2,7]=>[8,6,4,3,1,5,7,2]=>0000000
[6,8,2,7,4,5,1,3]=>[1,6,5,4,7,2,8,3]=>[1,7,8,5,6,4,2,3]=>[8,2,1,4,3,5,7,6]=>0000000
[6,8,3,7,4,5,1,2]=>[1,6,5,4,7,2,8,3]=>[1,7,8,5,6,4,2,3]=>[8,2,1,4,3,5,7,6]=>0000000
[2,8,6,7,3,5,1,4]=>[1,2,8,4,7,3,6,5]=>[1,2,7,8,6,3,4,5]=>[8,7,2,1,3,6,5,4]=>0000000
[2,8,6,7,1,5,3,4]=>[1,2,8,4,7,3,6,5]=>[1,2,7,8,6,3,4,5]=>[8,7,2,1,3,6,5,4]=>0000000
[2,8,5,7,1,6,3,4]=>[1,2,8,4,7,3,5,6]=>[1,2,7,8,3,5,4,6]=>[8,7,2,1,6,4,5,3]=>0000000
[2,8,1,7,5,6,3,4]=>[1,2,8,4,7,3,5,6]=>[1,2,7,8,3,5,4,6]=>[8,7,2,1,6,4,5,3]=>0000000
[1,8,2,7,5,6,3,4]=>[1,2,8,4,7,3,5,6]=>[1,2,7,8,3,5,4,6]=>[8,7,2,1,6,4,5,3]=>0000000
[1,8,2,7,4,6,3,5]=>[1,2,8,5,4,7,3,6]=>[1,2,7,5,8,3,4,6]=>[8,7,2,4,1,6,5,3]=>0000000
[2,8,1,7,4,6,3,5]=>[1,2,8,5,4,7,3,6]=>[1,2,7,5,8,3,4,6]=>[8,7,2,4,1,6,5,3]=>0000000
[2,8,5,7,3,6,1,4]=>[1,2,8,4,7,3,5,6]=>[1,2,7,8,3,5,4,6]=>[8,7,2,1,6,4,5,3]=>0000000
[3,8,5,7,4,6,1,2]=>[1,3,5,4,7,2,8,6]=>[1,7,3,5,4,8,2,6]=>[8,2,6,4,5,1,7,3]=>0000000
[1,8,5,7,3,6,2,4]=>[1,2,8,4,7,3,5,6]=>[1,2,7,8,3,5,4,6]=>[8,7,2,1,6,4,5,3]=>0000000
[6,8,4,7,1,5,2,3]=>[1,6,5,2,8,3,4,7]=>[1,5,6,2,8,3,4,7]=>[8,4,3,7,1,6,5,2]=>0000000
[6,8,5,7,1,4,2,3]=>[1,6,4,7,2,8,3,5]=>[1,7,8,6,3,4,2,5]=>[8,2,1,3,6,5,7,4]=>0000000
[5,8,6,7,2,4,1,3]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[8,4,1,3,7,6,5,2]=>0000000
[5,8,6,7,1,4,2,3]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[8,4,1,3,7,6,5,2]=>0000000
[4,8,5,7,1,6,2,3]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[8,2,1,5,6,4,7,3]=>0000000
[4,8,1,7,5,6,2,3]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[8,2,1,5,6,4,7,3]=>0000000
[1,8,3,7,5,6,2,4]=>[1,2,8,4,7,3,5,6]=>[1,2,7,8,3,5,4,6]=>[8,7,2,1,6,4,5,3]=>0000000
[3,8,5,7,1,6,2,4]=>[1,3,5,2,8,4,7,6]=>[1,5,3,8,2,7,4,6]=>[8,4,6,1,7,2,5,3]=>0000000
[4,8,5,7,3,6,1,2]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[8,2,1,5,6,4,7,3]=>0000000
[4,8,5,7,2,6,1,3]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[8,2,1,5,6,4,7,3]=>0000000
[3,8,5,7,2,6,1,4]=>[1,3,5,2,8,4,7,6]=>[1,5,3,8,2,7,4,6]=>[8,4,6,1,7,2,5,3]=>0000000
[1,8,3,7,4,6,2,5]=>[1,2,8,5,4,7,3,6]=>[1,2,7,5,8,3,4,6]=>[8,7,2,4,1,6,5,3]=>0000000
[4,8,2,7,5,6,1,3]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[8,2,1,5,6,4,7,3]=>0000000
[4,8,3,7,5,6,1,2]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[8,2,1,5,6,4,7,3]=>0000000
[2,8,3,7,5,6,1,4]=>[1,2,8,4,7,3,5,6]=>[1,2,7,8,3,5,4,6]=>[8,7,2,1,6,4,5,3]=>0000000
[2,8,3,7,4,6,1,5]=>[1,2,8,5,4,7,3,6]=>[1,2,7,5,8,3,4,6]=>[8,7,2,4,1,6,5,3]=>0000000
[7,1,8,4,5,2,6,3]=>[1,7,6,2,3,8,4,5]=>[1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>0000000
[7,1,8,3,5,6,2,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[8,2,7,1,5,4,6,3]=>0000000
[2,5,3,7,8,1,6,4]=>[1,2,5,8,4,7,6,3]=>[1,2,6,7,5,8,3,4]=>[8,7,3,2,4,1,6,5]=>0000000
[5,2,4,8,6,1,3,7]=>[1,5,6,2,3,4,8,7]=>[1,6,2,3,5,4,8,7]=>[8,3,7,6,4,5,1,2]=>0000000
[4,8,1,3,6,7,2,5]=>[1,4,3,2,8,5,6,7]=>[1,3,4,2,8,5,6,7]=>[8,6,5,7,1,4,3,2]=>0000000
[5,3,8,2,4,7,1,6]=>[1,5,4,2,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>[8,5,7,4,6,1,3,2]=>0000000
[6,4,2,8,1,3,7,5]=>[1,6,3,2,4,8,5,7]=>[1,3,6,2,8,4,5,7]=>[8,6,3,7,1,5,4,2]=>0000000
[6,3,8,1,4,7,2,5]=>[1,6,7,2,3,8,5,4]=>[1,7,2,5,8,6,3,4]=>[8,2,7,4,1,3,6,5]=>0000000
[1,5,7,4,2,6,8,3]=>[1,2,5,3,7,8,4,6]=>[1,2,5,8,3,4,7,6]=>[8,7,4,1,6,5,2,3]=>0000000
[6,5,1,2,8,7,3,4]=>[1,6,7,3,2,5,8,4]=>[1,3,7,8,2,6,5,4]=>[8,6,2,1,7,3,4,5]=>0000000
[3,5,6,1,2,8,7,4]=>[1,3,6,8,4,2,5,7]=>[1,4,3,8,2,6,5,7]=>[8,5,6,1,7,3,4,2]=>0000000
[3,5,2,6,8,1,7,4]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[8,6,7,1,4,5,3,2]=>0000000
[3,7,2,5,4,8,6,1]=>[1,3,2,7,6,8,4,5]=>[1,3,2,8,4,7,6,5]=>[8,6,7,1,5,2,3,4]=>0000000
[6,7,8,1,4,3,2,5]=>[1,6,3,8,5,4,2,7]=>[1,4,5,8,6,3,2,7]=>[8,5,4,1,3,6,7,2]=>0000000
[8,3,1,5,4,7,2,6]=>[1,8,6,7,2,3,4,5]=>[1,7,2,3,4,8,6,5]=>[8,2,7,6,5,1,3,4]=>0000000
[8,3,6,1,4,7,2,5]=>[1,8,5,4,2,3,6,7]=>[1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>0000000
[8,2,6,1,4,3,7,5]=>[1,8,5,4,2,3,6,7]=>[1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>0000000
[3,7,6,2,4,8,5,1]=>[1,3,6,8,2,7,5,4]=>[1,8,3,5,7,6,2,4]=>[8,1,6,4,2,3,7,5]=>0000000
[5,7,3,8,4,6,2,1]=>[1,5,4,8,2,7,3,6]=>[1,8,7,5,4,3,2,6]=>[8,1,2,4,5,6,7,3]=>0000000
[8,7,3,5,1,6,2,4]=>[1,8,4,5,2,7,3,6]=>[1,5,7,8,4,3,2,6]=>[8,4,2,1,5,6,7,3]=>0000000
[4,7,6,5,8,1,2,3]=>[1,4,5,8,3,6,2,7]=>[1,6,8,4,5,3,2,7]=>[8,3,1,5,4,6,7,2]=>0000000
[1,4,7,2,5,8,6,3]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>0000000
[7,3,8,4,5,6,1,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[8,2,7,1,5,4,6,3]=>0000000
[4,3,6,7,8,5,1,2]=>[1,4,7,2,3,6,5,8]=>[1,7,2,4,6,3,5,8]=>[8,2,7,5,3,6,4,1]=>0000000
[4,6,8,5,3,7,1,2]=>[1,4,5,3,8,2,6,7]=>[1,8,5,4,3,2,6,7]=>[8,1,4,5,6,7,3,2]=>0000000
[2,1,6,4,8,7,5,3]=>[1,2,3,6,7,5,8,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>0000000
[7,8,1,4,2,6,5,3]=>[1,7,5,2,8,3,4,6]=>[1,5,7,2,8,4,3,6]=>[8,4,2,7,1,5,6,3]=>0000000
[1,4,6,2,5,8,3,7]=>[1,2,4,3,6,8,7,5]=>[1,2,4,3,7,6,8,5]=>[8,7,5,6,2,3,1,4]=>0000000
[7,6,1,8,3,2,4,5]=>[1,7,4,8,5,3,2,6]=>[1,3,5,8,7,4,2,6]=>[8,6,4,1,2,5,7,3]=>0000000
[7,1,8,6,3,4,2,5]=>[1,7,2,3,8,5,4,6]=>[1,7,2,5,8,4,3,6]=>[8,2,7,4,1,5,6,3]=>0000000
[2,1,7,5,6,3,8,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000
[2,8,1,5,4,6,7,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[1,2,8,3,6,5,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[1,6,4,3,7,2,8,5]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[7,8,3,2,5,1,4,6]=>[1,7,4,2,8,6,3,5]=>[1,4,7,6,2,8,3,5]=>[8,5,2,3,7,1,6,4]=>0000000
[6,8,5,1,3,4,2,7]=>[1,6,4,2,8,7,3,5]=>[1,4,6,7,2,3,8,5]=>[8,5,3,2,7,6,1,4]=>0000000
[2,6,4,5,1,3,8,7]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[7,8,5,4,1,3,2,6]=>[1,7,2,8,6,3,5,4]=>[1,7,6,5,3,8,2,4]=>[8,2,3,4,6,1,7,5]=>0000000
[2,4,7,3,6,1,8,5]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,5,7,6]=>[8,7,5,6,1,4,2,3]=>0000000
[7,5,6,8,1,4,3,2]=>[1,7,3,6,4,8,2,5]=>[1,8,7,6,2,3,4,5]=>[8,1,2,3,7,6,5,4]=>0000000
[5,8,1,6,3,4,7,2]=>[1,5,3,2,8,4,6,7]=>[1,3,5,8,2,4,6,7]=>[8,6,4,1,7,5,3,2]=>0000000
[7,8,5,1,6,4,2,3]=>[1,7,2,8,3,5,6,4]=>[1,7,8,6,3,5,2,4]=>[8,2,1,3,6,4,7,5]=>0000000
[1,6,4,7,5,8,2,3]=>[1,2,6,8,3,4,7,5]=>[1,2,8,3,7,6,4,5]=>[8,7,1,6,2,3,5,4]=>0000000
[7,8,1,6,2,4,5,3]=>[1,7,5,2,8,3,4,6]=>[1,5,7,2,8,4,3,6]=>[8,4,2,7,1,5,6,3]=>0000000
[4,3,6,1,5,8,2,7]=>[1,4,2,3,6,8,7,5]=>[1,4,2,3,7,6,8,5]=>[8,5,7,6,2,3,1,4]=>0000000
[8,4,2,1,7,3,6,5]=>[1,8,5,7,6,3,2,4]=>[1,3,6,2,7,8,4,5]=>[8,6,3,7,2,1,5,4]=>0000000
[3,4,8,5,6,7,2,1]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>0000000
[6,1,5,8,7,4,2,3]=>[1,6,4,8,3,5,7,2]=>[1,7,8,6,3,4,5,2]=>[8,2,1,3,6,5,4,7]=>0000000
[6,2,1,4,3,8,5,7]=>[1,6,8,7,5,3,2,4]=>[1,3,5,2,7,6,8,4]=>[8,6,4,7,2,3,1,5]=>0000000
[8,2,1,4,3,6,5,7]=>[1,8,7,5,3,2,4,6]=>[1,3,5,2,7,4,8,6]=>[8,6,4,7,2,5,1,3]=>0000000
[8,4,2,1,3,6,5,7]=>[1,8,7,5,3,2,4,6]=>[1,3,5,2,7,4,8,6]=>[8,6,4,7,2,5,1,3]=>0000000
[2,6,1,4,3,8,5,7]=>[1,2,6,8,7,5,3,4]=>[1,2,5,3,7,6,8,4]=>[8,7,4,6,2,3,1,5]=>0000000
[2,1,6,4,3,8,5,7]=>[1,2,3,6,8,7,5,4]=>[1,2,3,5,7,6,8,4]=>[8,7,6,4,2,3,1,5]=>0000000
[2,1,4,3,8,6,5,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[2,4,1,8,3,6,5,7]=>[1,2,4,8,7,5,3,6]=>[1,2,5,4,7,3,8,6]=>[8,7,4,5,2,6,1,3]=>0000000
[2,1,4,8,3,6,5,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[4,3,7,2,6,5,8,1]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[8,5,7,6,1,4,2,3]=>0000000
[4,3,8,2,6,1,7,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[6,3,5,4,8,1,7,2]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>[8,3,7,1,6,4,5,2]=>0000000
[7,1,6,5,8,3,4,2]=>[1,7,4,5,8,2,3,6]=>[1,8,2,7,4,3,5,6]=>[8,1,7,2,5,6,4,3]=>0000000
[8,3,5,2,6,1,7,4]=>[1,8,4,2,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>0000000
[8,2,7,1,5,3,6,4]=>[1,8,4,2,3,7,6,5]=>[1,4,2,8,6,7,3,5]=>[8,5,7,1,3,2,6,4]=>0000000
[8,1,7,2,4,3,6,5]=>[1,8,5,4,2,3,7,6]=>[1,4,2,5,8,7,3,6]=>[8,5,7,4,1,2,6,3]=>0000000
[8,1,3,2,7,4,6,5]=>[1,8,5,7,6,4,2,3]=>[1,4,2,6,7,8,3,5]=>[8,5,7,3,2,1,6,4]=>0000000
[2,1,8,3,5,4,7,6]=>[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>0000000
[8,1,3,2,5,4,7,6]=>[1,8,6,4,2,3,5,7]=>[1,4,2,6,3,8,5,7]=>[8,5,7,3,6,1,4,2]=>0000000
[2,1,6,5,8,3,7,4]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>0000000
[5,4,6,3,8,1,7,2]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[8,1,5,7,4,6,3,2]=>0000000
[2,4,8,3,5,7,6,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[1,8,4,2,5,3,6,7]=>[1,2,8,7,6,3,4,5]=>[1,2,6,3,4,7,8,5]=>[8,7,3,6,5,2,1,4]=>0000000
[8,1,5,3,2,4,6,7]=>[1,8,7,6,4,3,5,2]=>[1,5,4,6,3,7,8,2]=>[8,4,5,3,6,2,1,7]=>0000000
[8,1,5,3,7,4,6,2]=>[1,8,2,3,5,7,6,4]=>[1,8,2,6,3,7,5,4]=>[8,1,7,3,6,2,4,5]=>0000000
[1,6,7,2,8,4,3,5]=>[1,2,6,4,3,7,5,8]=>[1,2,4,6,7,3,5,8]=>[8,7,5,3,2,6,4,1]=>0000000
[8,7,1,3,6,2,4,5]=>[1,8,5,6,2,7,4,3]=>[1,6,4,7,8,5,2,3]=>[8,3,5,2,1,4,7,6]=>0000000
[8,2,1,7,3,5,6,4]=>[1,8,4,7,6,5,3,2]=>[1,3,5,6,7,8,4,2]=>[8,6,4,3,2,1,5,7]=>0000000
[7,8,2,6,3,1,5,4]=>[1,7,5,3,2,8,4,6]=>[1,3,5,7,8,2,4,6]=>[8,6,4,2,1,7,5,3]=>0000000
[2,8,4,1,6,7,5,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[2,1,8,4,7,5,6,3]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>0000000
[8,3,7,1,5,6,2,4]=>[1,8,4,2,3,7,5,6]=>[1,4,2,8,7,5,3,6]=>[8,5,7,1,2,4,6,3]=>0000000
[8,1,7,5,6,4,3,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>0000000
[3,5,1,4,6,2,8,7]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>0000000
[8,1,4,7,3,6,2,5]=>[1,8,5,3,4,7,2,6]=>[1,7,5,3,8,2,4,6]=>[8,2,4,6,1,7,5,3]=>0000000
[8,5,1,4,7,3,2,6]=>[1,8,6,3,2,5,7,4]=>[1,3,6,8,4,7,5,2]=>[8,6,3,1,5,2,4,7]=>0000000
[4,7,1,3,5,8,6,2]=>[1,4,3,2,7,6,8,5]=>[1,3,4,2,8,7,6,5]=>[8,6,5,7,1,2,3,4]=>0000000
[2,1,8,7,5,3,4,6]=>[1,2,3,8,6,4,7,5]=>[1,2,3,6,8,7,5,4]=>[8,7,6,3,1,2,4,5]=>0000000
[2,8,7,5,4,1,3,6]=>[1,2,8,6,3,7,4,5]=>[1,2,6,8,3,7,4,5]=>[8,7,3,1,6,2,5,4]=>0000000
[6,7,3,5,1,8,2,4]=>[1,6,8,4,5,2,7,3]=>[1,5,7,8,4,6,2,3]=>[8,4,2,1,5,3,7,6]=>0000000
[2,1,6,7,5,8,3,4]=>[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,4,5]=>[8,7,6,1,2,3,5,4]=>0000000
[4,1,7,2,5,6,8,3]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[8,5,7,6,1,4,2,3]=>0000000
[2,4,7,1,6,5,8,3]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,5,7,6]=>[8,7,5,6,1,4,2,3]=>0000000
[6,3,1,4,2,8,5,7]=>[1,6,8,7,5,2,3,4]=>[1,5,2,3,7,6,8,4]=>[8,4,7,6,2,3,1,5]=>0000000
[8,4,1,5,2,7,6,3]=>[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>0000000
[2,7,5,4,1,3,8,6]=>[1,2,7,8,6,3,5,4]=>[1,2,6,5,3,8,7,4]=>[8,7,3,4,6,1,2,5]=>0000000
[5,8,3,2,7,1,6,4]=>[1,5,7,6,2,8,4,3]=>[1,6,4,7,5,8,3,2]=>[8,3,5,2,4,1,6,7]=>0000000
[3,8,6,1,7,2,5,4]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[8,3,6,1,5,7,4,2]=>0000000
[4,3,6,8,2,1,5,7]=>[1,4,8,7,5,2,3,6]=>[1,5,2,4,7,3,8,6]=>[8,4,7,5,2,6,1,3]=>0000000
[2,5,7,4,8,1,3,6]=>[1,2,5,8,6,3,7,4]=>[1,2,6,8,5,7,4,3]=>[8,7,3,1,4,2,5,6]=>0000000
[4,3,6,7,8,1,2,5]=>[1,4,7,2,3,6,5,8]=>[1,7,2,4,6,3,5,8]=>[8,2,7,5,3,6,4,1]=>0000000
[8,1,5,2,7,4,6,3]=>[1,8,3,5,7,6,4,2]=>[1,4,6,7,3,8,5,2]=>[8,5,3,2,6,1,4,7]=>0000000
[5,3,1,7,2,8,4,6]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000
[5,3,6,4,7,8,1,2]=>[1,5,7,2,3,6,8,4]=>[1,7,2,8,5,3,6,4]=>[8,2,7,1,4,6,3,5]=>0000000
[6,3,1,8,4,7,5,2]=>[1,6,7,5,4,8,2,3]=>[1,8,2,5,7,6,4,3]=>[8,1,7,4,2,3,5,6]=>0000000
[6,3,7,8,5,2,4,1]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>0000000
[2,5,8,7,1,3,6,4]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>[8,7,4,1,6,2,5,3]=>0000000
[2,4,8,7,6,1,3,5]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]=>[8,7,2,5,1,4,6,3]=>0000000
[7,5,8,3,1,4,2,6]=>[1,7,2,5,3,8,6,4]=>[1,7,5,6,2,8,3,4]=>[8,2,4,3,7,1,6,5]=>0000000
[7,8,5,3,6,4,1,2]=>[1,7,2,8,3,5,6,4]=>[1,7,8,6,3,5,2,4]=>[8,2,1,3,6,4,7,5]=>0000000
[7,5,8,3,4,6,1,2]=>[1,7,2,5,4,3,8,6]=>[1,7,4,5,2,8,3,6]=>[8,2,5,4,7,1,6,3]=>0000000
[7,5,6,3,4,1,8,2]=>[1,7,8,2,5,4,3,6]=>[1,8,4,5,2,3,7,6]=>[8,1,5,4,7,6,2,3]=>0000000
[7,5,3,1,6,4,8,2]=>[1,7,8,2,5,6,4,3]=>[1,8,4,6,2,5,7,3]=>[8,1,5,3,7,4,2,6]=>0000000
[7,5,3,6,1,4,8,2]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[8,1,4,6,7,5,2,3]=>0000000
[7,5,3,8,4,1,6,2]=>[1,7,6,2,5,4,8,3]=>[1,6,7,5,3,8,4,2]=>[8,3,2,4,6,1,5,7]=>0000000
[7,5,3,8,1,4,6,2]=>[1,7,6,4,8,2,5,3]=>[1,8,5,6,2,7,4,3]=>[8,1,4,3,7,2,5,6]=>0000000
[7,5,3,1,8,4,6,2]=>[1,7,6,4,2,5,8,3]=>[1,4,6,7,2,8,5,3]=>[8,5,3,2,7,1,4,6]=>0000000
[7,5,8,3,6,1,4,2]=>[1,7,4,3,8,2,5,6]=>[1,8,4,7,2,5,3,6]=>[8,1,5,2,7,4,6,3]=>0000000
[7,5,8,3,1,6,4,2]=>[1,7,4,3,8,2,5,6]=>[1,8,4,7,2,5,3,6]=>[8,1,5,2,7,4,6,3]=>0000000
[7,5,8,3,1,6,2,4]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[8,2,4,1,7,5,6,3]=>0000000
[7,5,3,6,1,4,2,8]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[8,2,4,6,7,5,3,1]=>0000000
[7,5,8,6,3,1,2,4]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[8,2,4,1,7,5,6,3]=>0000000
[7,5,8,6,3,4,1,2]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[8,2,4,1,7,5,6,3]=>0000000
[7,5,3,6,1,8,2,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[8,2,4,6,7,5,3,1]=>0000000
[7,5,3,6,8,4,1,2]=>[1,7,2,5,8,3,4,6]=>[1,7,8,3,2,4,5,6]=>[8,2,1,6,7,5,4,3]=>0000000
[7,5,3,4,1,6,8,2]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[8,1,4,6,7,5,2,3]=>0000000
[4,2,5,7,3,6,1,8]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>0000000
[5,4,7,3,8,6,1,2]=>[1,5,8,2,4,3,7,6]=>[1,8,4,2,5,7,3,6]=>[8,1,5,7,4,2,6,3]=>0000000
[8,3,5,1,2,7,6,4]=>[1,8,4,2,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>0000000
[1,3,8,5,4,2,7,6]=>[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>0000000
[3,1,2,7,6,4,8,5]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,5,7,6]=>[8,6,7,5,1,4,2,3]=>0000000
[1,6,7,2,8,4,5,3]=>[1,2,6,4,3,7,5,8]=>[1,2,4,6,7,3,5,8]=>[8,7,5,3,2,6,4,1]=>0000000
[5,7,1,8,2,4,6,3]=>[1,5,2,7,6,4,8,3]=>[1,5,8,6,2,7,4,3]=>[8,4,1,3,7,2,5,6]=>0000000
[2,4,1,7,8,6,3,5]=>[1,2,4,7,3,5,8,6]=>[1,2,7,4,3,8,5,6]=>[8,7,2,5,6,1,4,3]=>0000000
[7,3,2,1,8,4,5,6]=>[1,7,5,8,6,4,2,3]=>[1,4,2,6,8,7,3,5]=>[8,5,7,3,1,2,6,4]=>0000000
[7,1,8,2,4,5,6,3]=>[1,7,6,5,4,2,3,8]=>[1,4,2,5,6,7,3,8]=>[8,5,7,4,3,2,6,1]=>0000000
[6,8,3,7,5,4,1,2]=>[1,6,4,7,2,8,3,5]=>[1,7,8,6,3,4,2,5]=>[8,2,1,3,6,5,7,4]=>0000000
[5,1,4,3,2,8,7,6]=>[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>0000000
[8,6,5,1,7,3,2,4]=>[1,8,4,2,6,3,5,7]=>[1,4,8,6,2,3,5,7]=>[8,5,1,3,7,6,4,2]=>0000000
[5,7,4,1,8,2,6,3]=>[1,5,8,3,4,2,7,6]=>[1,4,8,3,5,7,2,6]=>[8,5,1,6,4,2,7,3]=>0000000
[5,7,4,3,1,8,6,2]=>[1,5,2,7,6,8,3,4]=>[1,5,8,3,2,7,6,4]=>[8,4,1,6,7,2,3,5]=>0000000
[1,6,2,4,8,7,5,3]=>[1,2,6,7,5,8,3,4]=>[1,2,8,3,7,6,5,4]=>[8,7,1,6,2,3,4,5]=>0000000
[7,1,6,4,8,5,2,3]=>[1,7,2,3,6,5,8,4]=>[1,7,2,8,6,3,5,4]=>[8,2,7,1,3,6,4,5]=>0000000
[6,1,2,7,4,8,5,3]=>[1,6,8,3,2,4,7,5]=>[1,3,8,2,7,6,4,5]=>[8,6,1,7,2,3,5,4]=>0000000
[4,2,6,7,3,5,1,8]=>[1,4,7,2,3,6,5,8]=>[1,7,2,4,6,3,5,8]=>[8,2,7,5,3,6,4,1]=>0000000
[3,6,2,4,7,5,1,8]=>[1,3,2,6,5,7,4,8]=>[1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>0000000
[7,1,4,5,2,8,6,3]=>[1,7,6,8,3,4,5,2]=>[1,5,8,3,4,7,6,2]=>[8,4,1,6,5,2,3,7]=>0000000
[4,2,8,1,5,7,3,6]=>[1,4,2,3,8,6,7,5]=>[1,4,2,3,7,8,6,5]=>[8,5,7,6,2,1,3,4]=>0000000
[1,8,2,4,6,7,3,5]=>[1,2,8,5,6,7,3,4]=>[1,2,7,3,8,5,6,4]=>[8,7,2,6,1,4,3,5]=>0000000
[2,1,5,8,6,4,3,7]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>0000000
[1,6,8,5,4,3,2,7]=>[1,2,6,3,8,7,4,5]=>[1,2,6,7,4,3,8,5]=>[8,7,3,2,5,6,1,4]=>0000000
[7,1,5,8,3,4,6,2]=>[1,7,6,4,8,2,3,5]=>[1,8,2,6,3,7,4,5]=>[8,1,7,3,6,2,5,4]=>0000000
[7,1,2,3,8,5,4,6]=>[1,7,4,3,2,5,8,6]=>[1,3,4,7,2,8,5,6]=>[8,6,5,2,7,1,4,3]=>0000000
[5,6,2,4,8,7,1,3]=>[1,5,8,3,2,6,7,4]=>[1,3,8,7,5,2,6,4]=>[8,6,1,2,4,7,3,5]=>0000000
[6,5,8,7,2,3,1,4]=>[1,6,3,8,4,7,2,5]=>[1,7,6,8,2,3,4,5]=>[8,2,3,1,7,6,5,4]=>0000000
[4,3,8,1,2,7,5,6]=>[1,4,2,3,8,6,7,5]=>[1,4,2,3,7,8,6,5]=>[8,5,7,6,2,1,3,4]=>0000000
[4,3,1,7,6,8,2,5]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>0000000
[3,4,1,7,5,6,8,2]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,5,7,6]=>[8,6,7,5,1,4,2,3]=>0000000
[3,4,1,5,7,6,2,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[2,4,6,1,7,5,8,3]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[4,7,8,1,2,3,6,5]=>[1,4,2,7,6,3,8,5]=>[1,4,6,2,7,8,5,3]=>[8,5,3,7,2,1,4,6]=>0000000
[5,8,1,6,3,7,2,4]=>[1,5,3,2,8,4,6,7]=>[1,3,5,8,2,4,6,7]=>[8,6,4,1,7,5,3,2]=>0000000
[4,6,3,8,5,1,7,2]=>[1,4,8,2,6,3,5,7]=>[1,8,6,4,3,2,5,7]=>[8,1,3,5,6,7,4,2]=>0000000
[4,8,5,2,7,1,3,6]=>[1,4,2,8,6,3,5,7]=>[1,4,6,2,3,8,5,7]=>[8,5,3,7,6,1,4,2]=>0000000
[1,6,7,5,2,3,8,4]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>[8,7,3,1,5,6,2,4]=>0000000
[1,7,5,2,8,4,3,6]=>[1,2,7,3,5,8,6,4]=>[1,2,7,6,3,8,5,4]=>[8,7,2,3,6,1,4,5]=>0000000
[1,5,7,6,2,4,8,3]=>[1,2,5,3,7,8,4,6]=>[1,2,5,8,3,4,7,6]=>[8,7,4,1,6,5,2,3]=>0000000
[1,3,7,5,2,6,8,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000
[1,7,4,2,8,5,3,6]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>0000000
[1,6,4,2,3,8,5,7]=>[1,2,6,8,7,5,3,4]=>[1,2,5,3,7,6,8,4]=>[8,7,4,6,2,3,1,5]=>0000000
[1,7,6,4,2,8,5,3]=>[1,2,7,5,3,6,8,4]=>[1,2,5,7,8,4,6,3]=>[8,7,4,2,1,5,3,6]=>0000000
[1,7,5,3,2,8,6,4]=>[1,2,7,6,8,4,3,5]=>[1,2,4,8,3,7,6,5]=>[8,7,5,1,6,2,3,4]=>0000000
[2,8,5,4,3,7,1,6]=>[1,2,8,6,7,3,5,4]=>[1,2,7,5,3,8,6,4]=>[8,7,2,4,6,1,3,5]=>0000000
[7,6,1,4,3,8,5,2]=>[1,7,5,3,2,6,8,4]=>[1,3,5,7,8,4,6,2]=>[8,6,4,2,1,5,3,7]=>0000000
[7,3,5,4,8,1,6,2]=>[1,7,6,2,3,5,8,4]=>[1,6,2,7,4,8,5,3]=>[8,3,7,2,5,1,4,6]=>0000000
[6,8,2,4,3,7,1,5]=>[1,6,7,2,8,5,3,4]=>[1,7,5,3,8,6,2,4]=>[8,2,4,6,1,3,7,5]=>0000000
[1,8,3,4,7,2,6,5]=>[1,2,8,5,7,6,3,4]=>[1,2,6,3,7,8,4,5]=>[8,7,3,6,2,1,5,4]=>0000000
[7,5,8,4,3,2,1,6]=>[1,7,2,5,3,8,6,4]=>[1,7,5,6,2,8,3,4]=>[8,2,4,3,7,1,6,5]=>0000000
[6,7,3,8,4,5,1,2]=>[1,6,5,4,8,2,7,3]=>[1,8,7,5,6,4,2,3]=>[8,1,2,4,3,5,7,6]=>0000000
[4,8,3,6,5,7,1,2]=>[1,4,6,7,2,8,3,5]=>[1,7,8,4,3,6,2,5]=>[8,2,1,5,6,3,7,4]=>0000000
[7,8,1,5,3,6,2,4]=>[1,7,2,8,4,5,3,6]=>[1,7,5,8,4,3,2,6]=>[8,2,4,1,5,6,7,3]=>0000000
[6,7,1,8,4,5,2,3]=>[1,6,5,4,8,3,2,7]=>[1,3,8,5,6,4,2,7]=>[8,6,1,4,3,5,7,2]=>0000000
[5,8,6,7,2,3,1,4]=>[1,5,2,8,4,7,3,6]=>[1,5,7,8,2,3,4,6]=>[8,4,2,1,7,6,5,3]=>0000000
[2,3,1,8,4,7,5,6]=>[1,2,3,4,8,6,7,5]=>[1,2,3,4,7,8,6,5]=>[8,7,6,5,2,1,3,4]=>0000000
[2,3,1,8,6,7,4,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[3,8,1,5,2,7,4,6]=>[1,3,2,8,6,7,4,5]=>[1,3,2,7,4,8,6,5]=>[8,6,7,2,5,1,3,4]=>0000000
[3,4,1,8,6,7,2,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>0000000
[3,6,5,4,1,2,8,7]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[8,4,6,3,7,5,2,1]=>0000000
[3,6,5,1,2,4,8,7]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[8,4,6,3,7,5,2,1]=>0000000
[2,1,4,7,6,3,8,5]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>0000000
[6,3,7,1,5,2,8,4]=>[1,6,2,3,7,8,4,5]=>[1,6,2,8,4,3,7,5]=>[8,3,7,1,5,6,2,4]=>0000000
[2,1,7,4,5,8,6,3]=>[1,2,3,7,6,8,4,5]=>[1,2,3,8,4,7,6,5]=>[8,7,6,1,5,2,3,4]=>0000000
[2,1,8,3,6,7,5,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[7,6,8,4,2,5,3,1]=>[1,7,3,8,2,6,5,4]=>[1,8,7,5,6,2,3,4]=>[8,1,2,4,3,7,6,5]=>0000000
[2,1,6,5,8,4,7,3]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>0000000
[3,1,8,2,7,5,4,6]=>[1,3,8,6,5,7,4,2]=>[1,4,3,7,6,8,5,2]=>[8,5,6,2,3,1,4,7]=>0000000
[8,2,3,1,7,4,6,5]=>[1,8,5,7,6,4,2,3]=>[1,4,2,6,7,8,3,5]=>[8,5,7,3,2,1,6,4]=>0000000
[2,1,8,4,3,7,5,6]=>[1,2,3,8,6,7,5,4]=>[1,2,3,5,7,8,6,4]=>[8,7,6,4,2,1,3,5]=>0000000
[5,1,8,3,6,7,2,4]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>[8,2,7,1,4,3,6,5]=>0000000
[1,6,8,4,7,5,2,3]=>[1,2,6,5,7,3,8,4]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>0000000
[6,8,1,3,5,7,2,4]=>[1,6,7,2,8,4,3,5]=>[1,7,4,8,3,6,2,5]=>[8,2,5,1,6,3,7,4]=>0000000
[4,7,1,2,5,3,8,6]=>[1,4,2,7,8,6,3,5]=>[1,4,6,2,3,8,7,5]=>[8,5,3,7,6,1,2,4]=>0000000
[1,8,3,2,5,6,7,4]=>[1,2,8,4,3,5,6,7]=>[1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>0000000
[6,4,1,2,7,5,8,3]=>[1,6,5,7,8,3,2,4]=>[1,3,8,2,6,5,7,4]=>[8,6,1,7,3,4,2,5]=>0000000
[4,3,7,8,5,1,6,2]=>[1,4,8,2,3,7,6,5]=>[1,8,2,4,6,7,3,5]=>[8,1,7,5,3,2,6,4]=>0000000
[1,2,7,3,6,5,8,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000
[2,8,7,6,3,4,1,5]=>[1,2,8,5,3,7,4,6]=>[1,2,5,8,7,3,4,6]=>[8,7,4,1,2,6,5,3]=>0000000
[2,4,6,3,7,1,8,5]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[3,6,7,2,4,8,1,5]=>[1,3,7,2,6,8,5,4]=>[1,7,3,5,8,2,6,4]=>[8,2,6,4,1,7,3,5]=>0000000
[4,7,8,5,6,1,3,2]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>0000000
[7,3,1,5,4,8,2,6]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[5,6,3,8,1,4,2,7]=>[1,5,2,6,4,8,7,3]=>[1,5,7,6,2,4,8,3]=>[8,4,2,3,7,5,1,6]=>0000000
[7,6,1,2,4,5,8,3]=>[1,7,8,3,2,6,5,4]=>[1,3,8,5,6,2,7,4]=>[8,6,1,4,3,7,2,5]=>0000000
[4,7,8,2,3,1,6,5]=>[1,4,2,7,6,3,8,5]=>[1,4,6,2,7,8,5,3]=>[8,5,3,7,2,1,4,6]=>0000000
[8,1,4,3,5,6,2,7]=>[1,8,7,2,3,4,5,6]=>[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>0000000
[5,2,1,6,3,8,4,7]=>[1,5,3,2,4,6,8,7]=>[1,3,5,2,4,6,8,7]=>[8,6,4,7,5,3,1,2]=>0000000
[5,8,7,3,1,4,6,2]=>[1,5,2,8,3,7,6,4]=>[1,5,8,6,2,7,3,4]=>[8,4,1,3,7,2,6,5]=>0000000
[1,3,8,6,4,7,5,2]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[8,7,6,1,2,5,3,4]=>0000000
[1,5,7,3,2,6,8,4]=>[1,2,5,3,7,8,4,6]=>[1,2,5,8,3,4,7,6]=>[8,7,4,1,6,5,2,3]=>0000000
[3,2,6,8,7,4,5,1]=>[1,3,6,4,8,2,5,7]=>[1,8,3,6,2,4,5,7]=>[8,1,6,3,7,5,4,2]=>0000000
[6,3,2,1,7,8,4,5]=>[1,6,8,5,7,4,2,3]=>[1,4,2,7,8,6,5,3]=>[8,5,7,2,1,3,4,6]=>0000000
[5,7,3,8,2,1,4,6]=>[1,5,2,7,4,8,6,3]=>[1,5,6,8,2,7,3,4]=>[8,4,3,1,7,2,6,5]=>0000000
[7,3,2,8,1,6,5,4]=>[1,7,5,2,3,4,8,6]=>[1,5,2,3,7,8,4,6]=>[8,4,7,6,2,1,5,3]=>0000000
[4,2,7,8,6,1,5,3]=>[1,4,8,3,7,5,6,2]=>[1,6,8,4,7,5,3,2]=>[8,3,1,5,2,4,6,7]=>0000000
[1,4,6,8,2,7,5,3]=>[1,2,4,8,3,6,7,5]=>[1,2,8,4,7,3,6,5]=>[8,7,1,5,2,6,3,4]=>0000000
[2,1,7,3,8,6,5,4]=>[1,2,3,7,5,8,4,6]=>[1,2,3,8,7,4,5,6]=>[8,7,6,1,2,5,4,3]=>0000000
[8,2,1,7,6,5,4,3]=>[1,8,3,2,4,7,5,6]=>[1,3,8,2,7,5,4,6]=>[8,6,1,7,2,4,5,3]=>0000000
[6,4,7,3,2,1,8,5]=>[1,6,2,4,3,7,8,5]=>[1,6,4,2,8,3,7,5]=>[8,3,5,7,1,6,2,4]=>0000000
[4,8,7,3,2,1,6,5]=>[1,4,3,7,6,2,8,5]=>[1,6,4,3,7,8,5,2]=>[8,3,5,6,2,1,4,7]=>0000000
[6,3,7,8,2,1,4,5]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>0000000
[5,8,4,2,6,1,3,7]=>[1,5,6,2,8,7,3,4]=>[1,6,7,3,5,2,8,4]=>[8,3,2,6,4,7,1,5]=>0000000
[5,8,3,2,6,1,4,7]=>[1,5,6,2,8,7,4,3]=>[1,6,4,7,5,2,8,3]=>[8,3,5,2,4,7,1,6]=>0000000
[4,8,3,2,5,1,7,6]=>[1,4,2,8,6,3,5,7]=>[1,4,6,2,3,8,5,7]=>[8,5,3,7,6,1,4,2]=>0000000
[6,2,7,8,5,1,3,4]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>0000000
[2,8,7,6,5,1,3,4]=>[1,2,8,4,6,3,7,5]=>[1,2,6,8,7,4,3,5]=>[8,7,3,1,2,5,6,4]=>0000000
[2,8,7,6,1,4,3,5]=>[1,2,8,5,3,7,4,6]=>[1,2,5,8,7,3,4,6]=>[8,7,4,1,2,6,5,3]=>0000000
[6,5,4,1,8,7,3,2]=>[1,6,7,3,4,2,5,8]=>[1,4,7,3,2,6,5,8]=>[8,5,2,6,7,3,4,1]=>0000000
[6,4,7,1,5,8,3,2]=>[1,6,8,2,4,3,7,5]=>[1,8,4,2,7,6,3,5]=>[8,1,5,7,2,3,6,4]=>0000000
[4,8,7,1,5,6,3,2]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[8,5,1,7,2,4,6,3]=>0000000
[6,5,3,1,8,4,7,2]=>[1,6,4,2,5,8,3,7]=>[1,4,6,8,3,5,2,7]=>[8,5,3,1,6,4,7,2]=>0000000
[5,8,3,1,6,4,7,2]=>[1,5,6,4,2,8,3,7]=>[1,4,6,8,5,3,2,7]=>[8,5,3,1,4,6,7,2]=>0000000
[4,2,7,1,5,6,3,8]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000
[5,1,7,6,8,4,3,2]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[8,1,7,2,4,5,6,3]=>0000000
[4,5,8,1,2,6,3,7]=>[1,4,2,5,3,8,7,6]=>[1,4,5,2,3,7,8,6]=>[8,5,4,7,6,2,1,3]=>0000000
[8,1,3,5,7,2,4,6]=>[1,8,6,2,3,4,5,7]=>[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>0000000
[8,2,3,5,6,7,1,4]=>[1,8,4,5,6,7,2,3]=>[1,7,2,8,4,5,6,3]=>[8,2,7,1,5,4,3,6]=>0000000
[2,3,6,7,8,1,5,4]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>0000000
[7,4,2,6,8,5,1,3]=>[1,7,2,4,6,5,8,3]=>[1,7,8,2,6,4,5,3]=>[8,2,1,7,3,5,4,6]=>0000000
[7,3,2,5,8,6,1,4]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>0000000
[7,3,1,8,6,2,4,5]=>[1,7,4,8,5,6,2,3]=>[1,6,2,7,8,5,4,3]=>[8,3,7,2,1,4,5,6]=>0000000
[7,3,8,4,5,1,6,2]=>[1,7,6,2,3,8,4,5]=>[1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>0000000
[8,2,6,7,5,4,1,3]=>[1,8,3,6,4,7,2,5]=>[1,7,8,6,2,3,4,5]=>[8,2,1,3,7,6,5,4]=>0000000
[8,6,7,2,3,1,5,4]=>[1,8,4,2,6,3,7,5]=>[1,4,8,6,7,3,2,5]=>[8,5,1,3,2,6,7,4]=>0000000
[8,6,1,5,2,7,4,3]=>[1,8,3,2,6,7,4,5]=>[1,3,8,7,4,2,6,5]=>[8,6,1,2,5,7,3,4]=>0000000
[8,5,1,7,4,2,6,3]=>[1,8,3,2,5,4,7,6]=>[1,3,8,5,2,7,4,6]=>[8,6,1,4,7,2,5,3]=>0000000
[2,1,4,8,5,7,3,6]=>[1,2,3,4,8,6,7,5]=>[1,2,3,4,7,8,6,5]=>[8,7,6,5,2,1,3,4]=>0000000
[4,3,7,8,5,2,1,6]=>[1,4,8,6,2,3,7,5]=>[1,6,2,4,8,7,5,3]=>[8,3,7,5,1,2,4,6]=>0000000
[8,5,2,7,4,6,1,3]=>[1,8,3,2,5,4,7,6]=>[1,3,8,5,2,7,4,6]=>[8,6,1,4,7,2,5,3]=>0000000
[7,8,3,1,5,4,6,2]=>[1,7,6,4,2,8,3,5]=>[1,4,6,7,3,8,2,5]=>[8,5,3,2,6,1,7,4]=>0000000
[8,2,6,1,4,7,3,5]=>[1,8,5,4,2,3,6,7]=>[1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>0000000
[2,3,4,1,8,6,5,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[6,8,5,4,3,7,2,1]=>[1,6,7,2,8,3,5,4]=>[1,7,8,5,3,6,2,4]=>[8,2,1,4,6,3,7,5]=>0000000
[3,4,6,7,1,8,5,2]=>[1,3,6,8,2,4,7,5]=>[1,8,3,2,7,6,4,5]=>[8,1,6,7,2,3,5,4]=>0000000
[3,4,7,2,1,8,6,5]=>[1,3,7,6,8,5,2,4]=>[1,5,3,2,8,7,6,4]=>[8,4,6,7,1,2,3,5]=>0000000
[3,4,7,2,8,5,6,1]=>[1,3,7,6,5,8,2,4]=>[1,8,3,2,6,7,5,4]=>[8,1,6,7,3,2,4,5]=>0000000
[3,5,2,7,8,4,6,1]=>[1,3,2,5,8,4,7,6]=>[1,3,2,8,5,7,4,6]=>[8,6,7,1,4,2,5,3]=>0000000
[3,5,6,2,7,8,1,4]=>[1,3,6,8,4,2,5,7]=>[1,4,3,8,2,6,5,7]=>[8,5,6,1,7,3,4,2]=>0000000
[3,5,7,2,4,8,6,1]=>[1,3,7,6,8,2,5,4]=>[1,8,3,5,2,7,6,4]=>[8,1,6,4,7,2,3,5]=>0000000
[3,6,2,7,8,5,4,1]=>[1,3,2,6,5,8,4,7]=>[1,3,2,8,6,5,4,7]=>[8,6,7,1,3,4,5,2]=>0000000
[3,8,2,1,4,5,6,7]=>[1,3,2,8,7,6,5,4]=>[1,3,2,5,6,7,8,4]=>[8,6,7,4,3,2,1,5]=>0000000
[4,1,8,3,2,5,6,7]=>[1,4,3,8,7,6,5,2]=>[1,5,4,3,6,7,8,2]=>[8,4,5,6,3,2,1,7]=>0000000
[4,5,7,3,2,8,6,1]=>[1,4,3,7,6,8,2,5]=>[1,8,4,3,2,7,6,5]=>[8,1,5,6,7,2,3,4]=>0000000
[4,7,2,8,3,5,6,1]=>[1,4,8,2,7,6,5,3]=>[1,8,5,4,6,7,2,3]=>[8,1,4,5,3,2,7,6]=>0000000
[4,8,2,3,1,5,6,7]=>[1,4,3,2,8,7,6,5]=>[1,3,4,2,6,7,8,5]=>[8,6,5,7,3,2,1,4]=>0000000
[5,1,6,3,7,8,2,4]=>[1,5,7,2,3,6,8,4]=>[1,7,2,8,5,3,6,4]=>[8,2,7,1,4,6,3,5]=>0000000
[5,6,8,3,4,2,1,7]=>[1,5,4,3,8,7,2,6]=>[1,7,4,5,3,2,8,6]=>[8,2,5,4,6,7,1,3]=>0000000
[6,1,2,3,8,5,4,7]=>[1,6,5,8,7,4,3,2]=>[1,3,4,7,6,5,8,2]=>[8,6,5,2,3,4,1,7]=>0000000
[6,1,2,7,8,5,4,3]=>[1,6,5,8,3,2,4,7]=>[1,3,8,2,6,5,4,7]=>[8,6,1,7,3,4,5,2]=>0000000
[6,1,7,8,4,5,3,2]=>[1,6,5,4,8,2,3,7]=>[1,8,2,5,6,4,3,7]=>[8,1,7,4,3,5,6,2]=>0000000
[6,7,2,8,4,5,3,1]=>[1,6,5,4,8,2,7,3]=>[1,8,7,5,6,4,2,3]=>[8,1,2,4,3,5,7,6]=>0000000
[7,1,2,8,4,5,6,3]=>[1,7,6,5,4,8,3,2]=>[1,3,8,5,6,7,4,2]=>[8,6,1,4,3,2,5,7]=>0000000
[7,1,8,3,4,5,6,2]=>[1,7,6,5,4,3,8,2]=>[1,8,4,5,6,7,3,2]=>[8,1,5,4,3,2,6,7]=>0000000
[6,4,1,8,2,3,7,5]=>[1,6,3,2,4,8,5,7]=>[1,3,6,2,8,4,5,7]=>[8,6,3,7,1,5,4,2]=>0000000
[2,3,5,6,8,1,7,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>0000000
[7,6,5,2,4,8,1,3]=>[1,7,2,6,8,3,5,4]=>[1,7,8,5,3,2,6,4]=>[8,2,1,4,6,7,3,5]=>0000000
[5,1,7,8,6,4,3,2]=>[1,5,6,4,8,2,3,7]=>[1,8,2,6,5,4,3,7]=>[8,1,7,3,4,5,6,2]=>0000000
[2,5,7,8,6,3,1,4]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>[8,7,3,2,4,6,5,1]=>0000000
[7,8,1,6,4,2,3,5]=>[1,7,3,2,8,5,4,6]=>[1,3,7,5,8,4,2,6]=>[8,6,2,4,1,5,7,3]=>0000000
[2,4,8,1,5,6,7,3]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[8,3,1,6,5,2,4,7]=>[1,8,7,4,6,2,3,5]=>[1,6,2,7,3,4,8,5]=>[8,3,7,2,6,5,1,4]=>0000000
[2,5,3,8,7,6,1,4]=>[1,2,5,7,3,4,8,6]=>[1,2,7,3,5,8,4,6]=>[8,7,2,6,4,1,5,3]=>0000000
[5,8,7,4,2,6,1,3]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>0000000
[7,3,2,6,5,1,8,4]=>[1,7,8,4,6,2,3,5]=>[1,6,2,8,3,4,7,5]=>[8,3,7,1,6,5,2,4]=>0000000
[2,8,7,6,3,4,5,1]=>[1,2,8,3,7,5,4,6]=>[1,2,8,5,7,4,3,6]=>[8,7,1,4,2,5,6,3]=>0000000
[1,8,7,6,5,2,3,4]=>[1,2,8,4,6,3,7,5]=>[1,2,6,8,7,4,3,5]=>[8,7,3,1,2,5,6,4]=>0000000
[8,4,7,2,5,6,3,1]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[8,1,5,7,2,4,6,3]=>0000000
[5,8,6,4,1,3,7,2]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[8,4,1,3,7,6,5,2]=>0000000
[5,8,7,4,1,6,3,2]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>0000000
[5,2,8,4,1,6,7,3]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>0000000
[8,3,2,1,5,4,7,6]=>[1,8,6,4,2,3,5,7]=>[1,4,2,6,3,8,5,7]=>[8,5,7,3,6,1,4,2]=>0000000
[2,5,1,8,4,3,7,6]=>[1,2,5,4,8,6,3,7]=>[1,2,6,5,4,8,3,7]=>[8,7,3,4,5,1,6,2]=>0000000
[8,3,4,1,5,2,7,6]=>[1,8,6,2,3,4,5,7]=>[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>0000000
[8,2,6,4,1,7,3,5]=>[1,8,5,2,3,6,7,4]=>[1,5,2,8,7,4,6,3]=>[8,4,7,1,2,5,3,6]=>0000000
[7,5,8,2,4,6,1,3]=>[1,7,2,5,4,3,8,6]=>[1,7,4,5,2,8,3,6]=>[8,2,5,4,7,1,6,3]=>0000000
[1,2,8,3,5,6,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[4,2,3,7,1,8,6,5]=>[1,4,7,6,8,5,2,3]=>[1,5,2,4,8,7,6,3]=>[8,4,7,5,1,2,3,6]=>0000000
[1,7,5,3,8,4,2,6]=>[1,2,7,3,5,8,6,4]=>[1,2,7,6,3,8,5,4]=>[8,7,2,3,6,1,4,5]=>0000000
[2,8,4,7,1,3,5,6]=>[1,2,8,6,3,4,7,5]=>[1,2,6,3,8,7,5,4]=>[8,7,3,6,1,2,4,5]=>0000000
[1,7,6,3,2,5,8,4]=>[1,2,7,8,4,3,6,5]=>[1,2,4,8,6,3,7,5]=>[8,7,5,1,3,6,2,4]=>0000000
[3,8,1,5,6,2,7,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>0000000
[7,1,5,2,8,6,4,3]=>[1,7,4,2,3,5,8,6]=>[1,4,2,7,3,8,5,6]=>[8,5,7,2,6,1,4,3]=>0000000
[1,8,5,3,6,2,7,4]=>[1,2,8,4,3,5,6,7]=>[1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>0000000
[1,8,2,4,5,6,7,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[1,2,3,4,8,6,5,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[1,2,3,8,5,4,6,7]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>0000000
[1,2,3,8,5,6,4,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[1,2,3,8,6,5,4,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[8,4,7,6,5,3,2,1]=>[1,8,2,4,6,3,7,5]=>[1,8,6,2,7,4,3,5]=>[8,1,3,7,2,5,6,4]=>0000000
[8,7,6,3,5,4,2,1]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>0000000
[8,4,7,3,6,5,2,1]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[8,1,5,7,2,4,6,3]=>0000000
[8,1,7,4,6,5,3,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>0000000
[8,3,7,2,6,5,4,1]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>0000000
[8,7,6,2,5,4,3,1]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>0000000
[8,4,7,1,6,5,3,2]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[8,1,5,7,2,4,6,3]=>0000000
[8,3,7,1,6,5,4,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>0000000
[8,4,7,1,6,3,5,2]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[8,1,5,7,2,4,6,3]=>0000000
[8,4,7,2,6,3,5,1]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[8,1,5,7,2,4,6,3]=>0000000
[8,3,7,5,6,2,4,1]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>0000000
[8,2,7,5,6,3,4,1]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>0000000
[8,1,7,5,6,3,4,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>0000000
[8,4,7,6,5,2,3,1]=>[1,8,2,4,6,3,7,5]=>[1,8,6,2,7,4,3,5]=>[8,1,3,7,2,5,6,4]=>0000000
[8,7,6,5,4,1,3,2]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>0000000
[8,3,7,5,6,1,4,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>0000000
[8,7,6,4,5,1,3,2]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>0000000
[8,4,7,3,6,1,5,2]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[8,1,5,7,2,4,6,3]=>0000000
[8,3,7,2,6,1,5,4]=>[1,8,4,2,3,7,5,6]=>[1,4,2,8,7,5,3,6]=>[8,5,7,1,2,4,6,3]=>0000000
[8,3,7,1,6,2,5,4]=>[1,8,4,2,3,7,5,6]=>[1,4,2,8,7,5,3,6]=>[8,5,7,1,2,4,6,3]=>0000000
[8,2,7,1,6,3,5,4]=>[1,8,4,2,3,7,5,6]=>[1,4,2,8,7,5,3,6]=>[8,5,7,1,2,4,6,3]=>0000000
[1,2,8,3,6,4,5,7]=>[1,2,3,8,7,5,6,4]=>[1,2,3,6,7,5,8,4]=>[8,7,6,3,2,4,1,5]=>0000000
[4,8,1,2,5,7,3,6]=>[1,4,2,8,6,7,3,5]=>[1,4,7,2,3,8,6,5]=>[8,5,2,7,6,1,3,4]=>0000000
[1,7,8,4,6,2,5,3]=>[1,2,7,5,6,3,8,4]=>[1,2,6,8,7,5,3,4]=>[8,7,3,1,2,4,6,5]=>0000000
[4,7,1,3,2,8,6,5]=>[1,4,3,2,7,6,8,5]=>[1,3,4,2,8,7,6,5]=>[8,6,5,7,1,2,3,4]=>0000000
[2,7,3,1,5,8,4,6]=>[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000
[4,1,3,7,5,6,8,2]=>[1,4,7,8,2,3,5,6]=>[1,8,2,4,3,5,7,6]=>[8,1,7,5,6,4,2,3]=>0000000
[1,4,7,2,8,5,3,6]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[8,7,5,6,2,1,4,3]=>0000000
[3,5,4,1,6,7,8,2]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[2,4,8,3,6,1,7,5]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[1,2,4,8,6,5,3,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[2,7,6,5,3,8,1,4]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>[8,7,2,1,5,6,3,4]=>0000000
[2,7,8,1,4,6,3,5]=>[1,2,7,3,8,5,4,6]=>[1,2,7,5,8,4,3,6]=>[8,7,2,4,1,5,6,3]=>0000000
[5,8,6,7,2,1,4,3]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[8,4,1,3,7,6,5,2]=>0000000
[6,3,4,2,8,7,5,1]=>[1,6,7,5,8,2,3,4]=>[1,8,2,3,7,6,5,4]=>[8,1,7,6,2,3,4,5]=>0000000
[8,5,2,7,1,4,3,6]=>[1,8,6,4,7,3,2,5]=>[1,3,7,6,2,8,4,5]=>[8,6,2,3,7,1,5,4]=>0000000
[8,2,3,7,6,4,5,1]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[8,2,1,3,5,6,7,4]=>[1,8,4,3,2,5,6,7]=>[1,3,4,8,2,5,6,7]=>[8,6,5,1,7,4,3,2]=>0000000
[3,2,1,6,4,8,5,7]=>[1,3,2,4,6,8,7,5]=>[1,3,2,4,7,6,8,5]=>[8,6,7,5,2,3,1,4]=>0000000
[7,3,2,4,8,6,1,5]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>0000000
[7,1,3,2,8,5,4,6]=>[1,7,4,2,3,5,8,6]=>[1,4,2,7,3,8,5,6]=>[8,5,7,2,6,1,4,3]=>0000000
[1,3,4,8,6,5,2,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[6,7,5,1,2,8,3,4]=>[1,6,8,4,2,7,3,5]=>[1,4,8,7,2,6,3,5]=>[8,5,1,2,7,3,6,4]=>0000000
[2,1,5,6,8,3,7,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>0000000
[1,2,7,4,8,3,6,5]=>[1,2,3,7,6,4,5,8]=>[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>0000000
[7,5,1,2,8,4,6,3]=>[1,7,6,4,2,5,8,3]=>[1,4,6,7,2,8,5,3]=>[8,5,3,2,7,1,4,6]=>0000000
[5,7,3,8,2,4,6,1]=>[1,5,2,7,6,4,8,3]=>[1,5,8,6,2,7,4,3]=>[8,4,1,3,7,2,5,6]=>0000000
[4,2,8,5,1,6,7,3]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[8,4,7,5,6,1,3,2]=>0000000
[2,1,6,4,8,5,3,7]=>[1,2,3,6,5,8,7,4]=>[1,2,3,7,6,5,8,4]=>[8,7,6,2,3,4,1,5]=>0000000
[1,2,8,3,7,5,4,6]=>[1,2,3,8,6,5,7,4]=>[1,2,3,7,6,8,5,4]=>[8,7,6,2,3,1,4,5]=>0000000
[4,3,8,1,2,6,7,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[6,4,5,8,1,2,7,3]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>0000000
[5,1,7,4,8,6,3,2]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[8,1,7,2,4,5,6,3]=>0000000
[5,4,7,6,3,8,1,2]=>[1,5,3,7,2,4,6,8]=>[1,7,5,2,3,4,6,8]=>[8,2,4,7,6,5,3,1]=>0000000
[4,6,3,7,5,8,1,2]=>[1,4,7,2,6,8,3,5]=>[1,7,8,4,3,2,6,5]=>[8,2,1,5,6,7,3,4]=>0000000
[1,5,7,4,8,6,3,2]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[8,7,1,2,4,5,6,3]=>0000000
[1,7,8,5,4,3,6,2]=>[1,2,7,6,3,8,4,5]=>[1,2,6,7,3,8,4,5]=>[8,7,3,2,6,1,5,4]=>0000000
[1,8,4,5,3,2,6,7]=>[1,2,8,7,6,3,4,5]=>[1,2,6,3,4,7,8,5]=>[8,7,3,6,5,2,1,4]=>0000000
[1,6,4,5,7,2,3,8]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[8,3,6,1,7,2,4,5]=>[1,8,5,7,4,2,3,6]=>[1,4,2,7,8,3,5,6]=>[8,5,7,2,1,6,4,3]=>0000000
[1,7,5,3,6,8,4,2]=>[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000
[5,4,3,1,8,2,7,6]=>[1,5,8,6,2,4,3,7]=>[1,6,4,2,5,8,3,7]=>[8,3,5,7,4,1,6,2]=>0000000
[8,2,6,4,7,3,1,5]=>[1,8,5,7,2,3,6,4]=>[1,7,2,6,8,3,5,4]=>[8,2,7,3,1,6,4,5]=>0000000
[1,4,5,8,3,6,7,2]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>0000000
[4,7,1,3,8,5,6,2]=>[1,4,3,2,7,6,5,8]=>[1,3,4,2,6,7,5,8]=>[8,6,5,7,3,2,4,1]=>0000000
[3,5,1,6,8,2,7,4]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[8,6,7,1,4,5,3,2]=>0000000
[2,5,6,8,4,3,7,1]=>[1,2,5,4,8,3,6,7]=>[1,2,8,5,4,3,6,7]=>[8,7,1,4,5,6,3,2]=>0000000
[5,3,8,1,6,7,2,4]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>[8,2,7,1,4,3,6,5]=>0000000
[2,1,6,3,8,4,7,5]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>0000000
[2,1,7,3,6,4,8,5]=>[1,2,3,7,8,5,6,4]=>[1,2,3,6,8,5,7,4]=>[8,7,6,3,1,4,2,5]=>0000000
[2,1,7,3,8,4,6,5]=>[1,2,3,7,6,4,5,8]=>[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>0000000
[8,1,7,2,5,3,6,4]=>[1,8,4,2,3,7,6,5]=>[1,4,2,8,6,7,3,5]=>[8,5,7,1,3,2,6,4]=>0000000
[4,1,7,2,6,3,8,5]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[8,5,7,6,1,4,2,3]=>0000000
[8,1,5,2,6,3,7,4]=>[1,8,4,2,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>0000000
[5,1,6,2,8,3,7,4]=>[1,5,8,4,2,3,6,7]=>[1,4,2,8,5,3,6,7]=>[8,5,7,1,4,6,3,2]=>0000000
[4,1,8,2,6,3,7,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[5,1,8,2,4,3,7,6]=>[1,5,4,2,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>[8,5,7,4,6,1,3,2]=>0000000
[8,1,6,2,4,3,7,5]=>[1,8,5,4,2,3,6,7]=>[1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>0000000
[6,1,8,2,4,3,7,5]=>[1,6,3,8,5,4,2,7]=>[1,4,5,8,6,3,2,7]=>[8,5,4,1,3,6,7,2]=>0000000
[7,1,6,2,4,3,8,5]=>[1,7,8,5,4,2,3,6]=>[1,4,2,5,8,3,7,6]=>[8,5,7,4,1,6,2,3]=>0000000
[7,1,6,2,8,3,5,4]=>[1,7,5,8,4,2,3,6]=>[1,4,2,8,7,3,5,6]=>[8,5,7,1,2,6,4,3]=>0000000
[7,1,8,2,6,3,5,4]=>[1,7,5,6,3,8,4,2]=>[1,4,8,6,7,5,2,3]=>[8,5,1,3,2,4,7,6]=>0000000
[7,8,3,1,2,5,6,4]=>[1,7,6,5,2,8,4,3]=>[1,5,4,6,7,8,2,3]=>[8,4,5,3,2,1,7,6]=>0000000
[5,3,4,7,8,6,1,2]=>[1,5,8,2,3,4,7,6]=>[1,8,2,3,5,7,4,6]=>[8,1,7,6,4,2,5,3]=>0000000
[4,3,5,7,6,8,1,2]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>0000000
[7,6,4,3,2,1,8,5]=>[1,7,8,5,2,6,3,4]=>[1,5,8,2,6,3,7,4]=>[8,4,1,7,3,6,2,5]=>0000000
[4,8,7,2,6,5,1,3]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[8,5,1,7,2,4,6,3]=>0000000
[8,4,7,3,6,5,1,2]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[8,1,5,7,2,4,6,3]=>0000000
[7,8,4,3,6,2,5,1]=>[1,7,5,6,2,8,3,4]=>[1,6,8,3,7,5,2,4]=>[8,3,1,6,2,4,7,5]=>0000000
[2,7,6,3,1,5,8,4]=>[1,2,7,8,4,3,6,5]=>[1,2,4,8,6,3,7,5]=>[8,7,5,1,3,6,2,4]=>0000000
[7,3,4,1,5,6,2,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[2,4,8,1,6,3,7,5]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[1,8,4,5,2,6,7,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[4,3,1,7,5,6,8,2]=>[1,4,7,8,2,3,5,6]=>[1,8,2,4,3,5,7,6]=>[8,1,7,5,6,4,2,3]=>0000000
[3,4,7,8,1,2,6,5]=>[1,3,7,6,2,4,8,5]=>[1,6,3,2,7,8,5,4]=>[8,3,6,7,2,1,4,5]=>0000000
[2,3,6,8,5,1,4,7]=>[1,2,3,6,4,8,7,5]=>[1,2,3,6,7,4,8,5]=>[8,7,6,3,2,5,1,4]=>0000000
[7,5,2,8,4,1,6,3]=>[1,7,6,2,5,4,8,3]=>[1,6,7,5,3,8,4,2]=>[8,3,2,4,6,1,5,7]=>0000000
[7,3,8,2,4,5,6,1]=>[1,7,6,5,4,2,3,8]=>[1,4,2,5,6,7,3,8]=>[8,5,7,4,3,2,6,1]=>0000000
[1,2,7,3,4,8,6,5]=>[1,2,3,7,6,8,5,4]=>[1,2,3,5,8,7,6,4]=>[8,7,6,4,1,2,3,5]=>0000000
[2,3,4,8,1,6,5,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[6,4,7,3,5,1,8,2]=>[1,6,2,4,3,7,8,5]=>[1,6,4,2,8,3,7,5]=>[8,3,5,7,1,6,2,4]=>0000000
[3,1,6,4,7,8,2,5]=>[1,3,6,8,5,7,2,4]=>[1,7,3,2,8,6,5,4]=>[8,2,6,7,1,3,4,5]=>0000000
[1,8,2,3,5,7,4,6]=>[1,2,8,6,7,4,3,5]=>[1,2,4,7,3,8,6,5]=>[8,7,5,2,6,1,3,4]=>0000000
[3,8,4,7,5,1,6,2]=>[1,3,4,7,6,2,8,5]=>[1,6,3,4,7,8,5,2]=>[8,3,6,5,2,1,4,7]=>0000000
[2,1,8,6,7,3,5,4]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>0000000
[1,6,2,7,4,8,3,5]=>[1,2,6,8,5,4,7,3]=>[1,2,7,5,8,6,4,3]=>[8,7,2,4,1,3,5,6]=>0000000
[2,1,7,4,8,5,6,3]=>[1,2,3,7,6,5,8,4]=>[1,2,3,8,6,7,5,4]=>[8,7,6,1,3,2,4,5]=>0000000
[6,2,3,8,4,7,5,1]=>[1,6,7,5,4,8,2,3]=>[1,8,2,5,7,6,4,3]=>[8,1,7,4,2,3,5,6]=>0000000
[8,1,3,2,5,6,7,4]=>[1,8,4,2,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>0000000
[2,8,5,3,6,7,1,4]=>[1,2,8,4,3,5,6,7]=>[1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>0000000
[6,5,8,4,7,1,3,2]=>[1,6,2,5,7,3,8,4]=>[1,6,7,8,2,5,3,4]=>[8,3,2,1,7,4,6,5]=>0000000
[2,4,8,1,3,7,6,5]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[2,6,1,3,8,7,5,4]=>[1,2,6,7,5,8,4,3]=>[1,2,4,8,7,6,5,3]=>[8,7,5,1,2,3,4,6]=>0000000
[2,5,7,1,3,8,6,4]=>[1,2,5,3,7,6,8,4]=>[1,2,5,8,3,7,6,4]=>[8,7,4,1,6,2,3,5]=>0000000
[8,3,2,7,1,6,5,4]=>[1,8,4,7,5,2,3,6]=>[1,5,2,7,8,4,3,6]=>[8,4,7,2,1,5,6,3]=>0000000
[8,4,2,6,3,1,5,7]=>[1,8,7,5,3,2,4,6]=>[1,3,5,2,7,4,8,6]=>[8,6,4,7,2,5,1,3]=>0000000
[4,1,8,5,7,3,6,2]=>[1,4,5,7,6,3,8,2]=>[1,8,6,4,5,7,3,2]=>[8,1,3,5,4,2,6,7]=>0000000
[8,7,2,3,6,1,4,5]=>[1,8,5,6,2,7,4,3]=>[1,6,4,7,8,5,2,3]=>[8,3,5,2,1,4,7,6]=>0000000
[1,4,8,5,2,6,7,3]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>[8,7,4,5,6,1,3,2]=>0000000
[8,1,2,3,6,5,7,4]=>[1,8,4,3,2,5,6,7]=>[1,3,4,8,2,5,6,7]=>[8,6,5,1,7,4,3,2]=>0000000
[6,1,8,4,3,7,2,5]=>[1,6,7,2,3,8,5,4]=>[1,7,2,5,8,6,3,4]=>[8,2,7,4,1,3,6,5]=>0000000
[8,4,6,5,1,7,2,3]=>[1,8,3,6,7,2,4,5]=>[1,7,8,2,4,3,6,5]=>[8,2,1,7,5,6,3,4]=>0000000
[7,5,4,6,1,2,8,3]=>[1,7,8,3,4,6,2,5]=>[1,6,8,3,2,4,7,5]=>[8,3,1,6,7,5,2,4]=>0000000
[3,5,4,2,7,1,8,6]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>0000000
[8,6,3,1,4,5,7,2]=>[1,8,2,6,5,4,3,7]=>[1,8,4,5,6,2,3,7]=>[8,1,5,4,3,7,6,2]=>0000000
[5,3,8,4,2,6,7,1]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>0000000
[2,4,6,3,5,8,1,7]=>[1,2,4,3,6,8,7,5]=>[1,2,4,3,7,6,8,5]=>[8,7,5,6,2,3,1,4]=>0000000
[4,5,7,2,3,6,8,1]=>[1,4,2,5,3,7,8,6]=>[1,4,5,2,3,8,7,6]=>[8,5,4,7,6,1,2,3]=>0000000
[2,3,1,7,6,4,8,5]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>0000000
[3,4,1,6,5,8,2,7]=>[1,3,2,4,6,8,7,5]=>[1,3,2,4,7,6,8,5]=>[8,6,7,5,2,3,1,4]=>0000000
[6,4,2,8,7,1,5,3]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>0000000
[6,2,8,4,1,7,5,3]=>[1,6,7,5,2,3,8,4]=>[1,5,2,7,8,6,4,3]=>[8,4,7,2,1,3,5,6]=>0000000
[7,3,2,8,6,1,4,5]=>[1,7,4,8,5,6,2,3]=>[1,6,2,7,8,5,4,3]=>[8,3,7,2,1,4,5,6]=>0000000
[2,5,7,4,1,8,6,3]=>[1,2,5,3,7,6,8,4]=>[1,2,5,8,3,7,6,4]=>[8,7,4,1,6,2,3,5]=>0000000
[5,3,1,6,7,8,4,2]=>[1,5,7,4,6,8,2,3]=>[1,8,2,7,5,4,6,3]=>[8,1,7,2,4,5,3,6]=>0000000
[6,3,8,7,5,4,1,2]=>[1,6,4,7,2,3,8,5]=>[1,7,2,6,8,4,3,5]=>[8,2,7,3,1,5,6,4]=>0000000
[3,1,8,7,6,5,4,2]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[8,1,6,7,2,4,5,3]=>0000000
[2,8,7,1,6,5,4,3]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[8,7,1,2,5,4,6,3]=>0000000
[4,8,7,2,6,1,5,3]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[8,5,1,7,2,4,6,3]=>0000000
[5,8,7,6,2,1,4,3]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>0000000
[7,8,4,1,6,5,3,2]=>[1,7,3,4,2,8,5,6]=>[1,4,7,3,8,5,2,6]=>[8,5,2,6,1,4,7,3]=>0000000
[5,3,1,8,7,6,4,2]=>[1,5,7,4,8,2,3,6]=>[1,8,2,7,5,3,4,6]=>[8,1,7,2,4,6,5,3]=>0000000
[7,3,2,1,8,6,5,4]=>[1,7,5,8,4,2,3,6]=>[1,4,2,8,7,3,5,6]=>[8,5,7,1,2,6,4,3]=>0000000
[8,3,6,2,4,1,5,7]=>[1,8,7,5,4,2,3,6]=>[1,4,2,5,7,3,8,6]=>[8,5,7,4,2,6,1,3]=>0000000
[2,1,8,3,6,4,5,7]=>[1,2,3,8,7,5,6,4]=>[1,2,3,6,7,5,8,4]=>[8,7,6,3,2,4,1,5]=>0000000
[5,4,6,3,8,7,1,2]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[8,1,5,7,4,6,3,2]=>0000000
[1,8,5,2,6,3,7,4]=>[1,2,8,4,3,5,6,7]=>[1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>0000000
[5,1,6,2,8,7,3,4]=>[1,5,8,4,2,3,6,7]=>[1,4,2,8,5,3,6,7]=>[8,5,7,1,4,6,3,2]=>0000000
[6,1,8,7,4,2,3,5]=>[1,6,2,3,8,5,4,7]=>[1,6,2,5,8,3,4,7]=>[8,3,7,4,1,6,5,2]=>0000000
[1,2,8,5,7,3,6,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>0000000
[1,3,6,8,7,5,2,4]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>0000000
[1,2,6,4,8,7,5,3]=>[1,2,3,6,7,5,8,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>0000000
[1,8,2,5,4,7,6,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[1,2,7,3,5,8,6,4]=>[1,2,3,7,6,8,4,5]=>[1,2,3,8,4,7,6,5]=>[8,7,6,1,5,2,3,4]=>0000000
[4,6,2,1,7,5,3,8]=>[1,4,2,6,5,7,3,8]=>[1,4,7,2,6,5,3,8]=>[8,5,2,7,3,4,6,1]=>0000000
[6,5,8,4,2,3,1,7]=>[1,6,3,8,7,2,5,4]=>[1,7,6,5,2,3,8,4]=>[8,2,3,4,7,6,1,5]=>0000000
[8,1,4,3,6,5,7,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000
[8,2,1,3,6,5,7,4]=>[1,8,4,3,2,5,6,7]=>[1,3,4,8,2,5,6,7]=>[8,6,5,1,7,4,3,2]=>0000000
[8,2,1,4,3,5,7,6]=>[1,8,6,5,3,2,4,7]=>[1,3,5,2,6,8,4,7]=>[8,6,4,7,3,1,5,2]=>0000000
[6,1,4,8,3,5,7,2]=>[1,6,5,3,4,8,2,7]=>[1,8,5,3,6,4,2,7]=>[8,1,4,6,3,5,7,2]=>0000000
[2,1,6,3,8,5,7,4]=>[1,2,3,6,5,8,4,7]=>[1,2,3,8,6,5,4,7]=>[8,7,6,1,3,4,5,2]=>0000000
[2,1,8,3,6,5,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[2,1,8,6,3,5,7,4]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>0000000
[4,1,8,3,6,5,7,2]=>[1,4,3,8,2,5,6,7]=>[1,8,4,3,2,5,6,7]=>[8,1,5,6,7,4,3,2]=>0000000
[6,8,1,4,3,5,7,2]=>[1,6,5,3,2,8,4,7]=>[1,3,5,6,8,4,2,7]=>[8,6,4,3,1,5,7,2]=>0000000
[8,4,2,1,3,5,7,6]=>[1,8,6,5,3,2,4,7]=>[1,3,5,2,6,8,4,7]=>[8,6,4,7,3,1,5,2]=>0000000
[8,7,6,5,1,4,3,2]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>0000000
[8,7,4,3,6,2,1,5]=>[1,8,5,6,2,7,3,4]=>[1,6,7,3,8,5,2,4]=>[8,3,2,6,1,4,7,5]=>0000000
[8,7,3,6,5,2,1,4]=>[1,8,4,6,2,7,3,5]=>[1,6,7,8,3,4,2,5]=>[8,3,2,1,6,5,7,4]=>0000000
[8,6,1,2,7,4,3,5]=>[1,8,5,7,3,2,6,4]=>[1,3,7,6,8,2,5,4]=>[8,6,2,3,1,7,4,5]=>0000000
[1,5,8,6,2,3,7,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[1,2,8,3,7,6,5,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>0000000
[8,5,4,3,7,2,6,1]=>[1,8,2,5,7,6,3,4]=>[1,8,6,3,2,7,5,4]=>[8,1,3,6,7,2,4,5]=>0000000
[8,3,7,4,2,6,5,1]=>[1,8,2,3,7,5,4,6]=>[1,8,2,5,7,4,3,6]=>[8,1,7,4,2,5,6,3]=>0000000
[5,4,2,8,3,1,7,6]=>[1,5,3,2,4,8,6,7]=>[1,3,5,2,4,8,6,7]=>[8,6,4,7,5,1,3,2]=>0000000
[7,3,8,5,2,1,6,4]=>[1,7,6,2,3,8,4,5]=>[1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>0000000
[7,3,4,8,2,1,5,6]=>[1,7,5,2,3,4,8,6]=>[1,5,2,3,7,8,4,6]=>[8,4,7,6,2,1,5,3]=>0000000
[2,4,3,8,1,6,5,7]=>[1,2,4,8,7,5,3,6]=>[1,2,5,4,7,3,8,6]=>[8,7,4,5,2,6,1,3]=>0000000
[3,4,8,7,1,5,6,2]=>[1,3,8,2,4,7,6,5]=>[1,8,3,2,6,7,4,5]=>[8,1,6,7,3,2,5,4]=>0000000
[8,4,6,7,2,3,5,1]=>[1,8,2,4,7,5,3,6]=>[1,8,5,2,7,3,4,6]=>[8,1,4,7,2,6,5,3]=>0000000
[4,7,6,8,1,3,2,5]=>[1,4,8,5,2,7,3,6]=>[1,5,8,4,7,2,3,6]=>[8,4,1,5,2,7,6,3]=>0000000
[5,6,8,7,1,3,4,2]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[8,4,3,1,7,6,5,2]=>0000000
[3,5,7,4,6,8,2,1]=>[1,3,7,2,5,6,8,4]=>[1,7,3,8,2,5,6,4]=>[8,2,6,1,7,4,3,5]=>0000000
[2,5,7,4,6,3,8,1]=>[1,2,5,6,3,7,8,4]=>[1,2,6,8,5,3,7,4]=>[8,7,3,1,4,6,2,5]=>0000000
[8,1,6,2,4,3,5,7]=>[1,8,7,5,4,2,3,6]=>[1,4,2,5,7,3,8,6]=>[8,5,7,4,2,6,1,3]=>0000000
[8,7,1,2,4,3,5,6]=>[1,8,6,3,2,7,5,4]=>[1,3,6,5,8,7,4,2]=>[8,6,3,4,1,2,5,7]=>0000000
[6,8,3,1,4,7,2,5]=>[1,6,7,2,8,5,4,3]=>[1,7,4,5,8,6,2,3]=>[8,2,5,4,1,3,7,6]=>0000000
[1,7,2,5,4,3,6,8]=>[1,2,7,6,3,4,5,8]=>[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>0000000
[6,3,7,2,4,8,5,1]=>[1,6,8,2,3,7,5,4]=>[1,8,2,5,7,6,3,4]=>[8,1,7,4,2,3,6,5]=>0000000
[8,1,2,5,4,3,6,7]=>[1,8,7,6,3,2,4,5]=>[1,3,6,2,4,7,8,5]=>[8,6,3,7,5,2,1,4]=>0000000
[2,6,3,1,4,5,8,7]=>[1,2,6,5,4,3,7,8]=>[1,2,4,5,6,3,7,8]=>[8,7,5,4,3,6,2,1]=>0000000
[5,7,1,4,8,6,2,3]=>[1,5,8,3,2,7,4,6]=>[1,3,8,7,5,4,2,6]=>[8,6,1,2,4,5,7,3]=>0000000
[6,7,8,4,1,5,3,2]=>[1,6,5,2,7,3,8,4]=>[1,5,6,7,8,3,4,2]=>[8,4,3,2,1,6,5,7]=>0000000
[4,8,5,1,6,7,3,2]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>0000000
[8,1,4,5,6,7,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000
[4,8,5,2,1,6,7,3]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>0000000
[2,8,3,1,5,6,7,4]=>[1,2,8,4,3,5,6,7]=>[1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>0000000
[8,2,4,3,6,7,1,5]=>[1,8,5,6,7,2,3,4]=>[1,7,2,3,8,5,6,4]=>[8,2,7,6,1,4,3,5]=>0000000
[8,3,2,7,1,5,6,4]=>[1,8,4,7,6,5,2,3]=>[1,5,2,6,7,8,4,3]=>[8,4,7,3,2,1,5,6]=>0000000
[2,8,7,1,4,6,5,3]=>[1,2,8,3,7,5,4,6]=>[1,2,8,5,7,4,3,6]=>[8,7,1,4,2,5,6,3]=>0000000
[8,2,7,1,5,4,6,3]=>[1,8,3,7,6,4,2,5]=>[1,4,6,7,2,8,3,5]=>[8,5,3,2,7,1,6,4]=>0000000
[8,7,2,4,1,6,5,3]=>[1,8,3,2,7,5,4,6]=>[1,3,8,5,7,4,2,6]=>[8,6,1,4,2,5,7,3]=>0000000
[1,2,8,6,3,7,5,4]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[8,7,6,1,2,5,3,4]=>0000000
[1,8,7,2,3,6,5,4]=>[1,2,8,4,3,7,5,6]=>[1,2,4,8,7,5,3,6]=>[8,7,5,1,2,4,6,3]=>0000000
[8,6,2,5,3,1,7,4]=>[1,8,4,5,3,2,6,7]=>[1,3,5,8,4,2,6,7]=>[8,6,4,1,5,7,3,2]=>0000000
[2,8,3,4,1,6,7,5]=>[1,2,8,5,3,4,6,7]=>[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>0000000
[2,1,8,3,7,5,4,6]=>[1,2,3,8,6,5,7,4]=>[1,2,3,7,6,8,5,4]=>[8,7,6,2,3,1,4,5]=>0000000
[2,3,8,1,5,6,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[5,8,6,7,1,4,3,2]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[8,4,1,3,7,6,5,2]=>0000000
[7,3,8,5,4,1,6,2]=>[1,7,6,2,3,8,4,5]=>[1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>0000000
[3,4,8,5,6,1,7,2]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>0000000
[8,3,7,4,1,6,5,2]=>[1,8,2,3,7,5,4,6]=>[1,8,2,5,7,4,3,6]=>[8,1,7,4,2,5,6,3]=>0000000
[2,7,1,3,5,6,4,8]=>[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000
[4,5,8,1,2,3,7,6]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[8,5,4,7,6,1,3,2]=>0000000
[1,8,6,3,7,2,4,5]=>[1,2,8,5,7,4,3,6]=>[1,2,4,7,8,3,5,6]=>[8,7,5,2,1,6,4,3]=>0000000
[1,8,5,3,4,7,2,6]=>[1,2,8,6,7,3,5,4]=>[1,2,7,5,3,8,6,4]=>[8,7,2,4,6,1,3,5]=>0000000
[1,8,5,4,7,2,6,3]=>[1,2,8,3,5,7,6,4]=>[1,2,8,6,3,7,5,4]=>[8,7,1,3,6,2,4,5]=>0000000
[1,8,2,5,4,6,7,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[7,2,8,1,3,6,4,5]=>[1,7,4,2,3,8,5,6]=>[1,4,2,7,8,5,3,6]=>[8,5,7,2,1,4,6,3]=>0000000
[5,2,4,8,1,3,7,6]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[6,5,3,4,8,7,1,2]=>[1,6,7,2,5,8,3,4]=>[1,7,8,3,2,6,5,4]=>[8,2,1,6,7,3,4,5]=>0000000
[6,5,8,3,1,7,4,2]=>[1,6,7,4,3,8,2,5]=>[1,8,4,7,2,6,3,5]=>[8,1,5,2,7,3,6,4]=>0000000
[7,2,8,6,1,5,3,4]=>[1,7,3,8,4,6,5,2]=>[1,5,6,7,8,2,4,3]=>[8,4,3,2,1,7,5,6]=>0000000
[1,5,7,4,2,8,6,3]=>[1,2,5,3,7,6,8,4]=>[1,2,5,8,3,7,6,4]=>[8,7,4,1,6,2,3,5]=>0000000
[4,5,2,7,1,8,6,3]=>[1,4,7,6,8,3,2,5]=>[1,3,8,4,2,7,6,5]=>[8,6,1,5,7,2,3,4]=>0000000
[2,3,4,8,1,7,6,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[3,1,4,8,7,6,2,5]=>[1,3,4,8,5,7,2,6]=>[1,7,3,4,8,2,5,6]=>[8,2,6,5,1,7,4,3]=>0000000
[6,3,2,8,5,7,4,1]=>[1,6,7,4,8,2,3,5]=>[1,8,2,7,3,6,4,5]=>[8,1,7,2,6,3,5,4]=>0000000
[5,2,4,1,7,8,6,3]=>[1,5,7,6,8,3,4,2]=>[1,4,8,3,5,7,6,2]=>[8,5,1,6,4,2,3,7]=>0000000
[5,3,4,7,1,8,6,2]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000
[5,3,7,1,6,2,8,4]=>[1,5,6,2,3,7,8,4]=>[1,6,2,8,5,3,7,4]=>[8,3,7,1,4,6,2,5]=>0000000
[4,7,6,5,8,2,1,3]=>[1,4,5,8,3,6,2,7]=>[1,6,8,4,5,3,2,7]=>[8,3,1,5,4,6,7,2]=>0000000
[1,2,5,3,8,7,6,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>0000000
[4,8,2,3,6,7,1,5]=>[1,4,3,2,8,5,6,7]=>[1,3,4,2,8,5,6,7]=>[8,6,5,7,1,4,3,2]=>0000000
[3,7,5,1,8,4,6,2]=>[1,3,5,8,2,7,6,4]=>[1,8,3,6,5,7,2,4]=>[8,1,6,3,4,2,7,5]=>0000000
[4,2,3,8,5,6,1,7]=>[1,4,8,7,2,3,5,6]=>[1,7,2,4,3,5,8,6]=>[8,2,7,5,6,4,1,3]=>0000000
[4,7,3,2,5,1,8,6]=>[1,4,2,7,8,6,3,5]=>[1,4,6,2,3,8,7,5]=>[8,5,3,7,6,1,2,4]=>0000000
[2,4,8,7,1,3,5,6]=>[1,2,4,7,5,3,8,6]=>[1,2,5,4,7,8,3,6]=>[8,7,4,5,2,1,6,3]=>0000000
[5,7,1,8,3,4,6,2]=>[1,5,3,2,7,6,4,8]=>[1,3,5,6,2,7,4,8]=>[8,6,4,3,7,2,5,1]=>0000000
[8,1,3,7,6,4,2,5]=>[1,8,5,6,4,7,2,3]=>[1,7,2,6,8,5,4,3]=>[8,2,7,3,1,4,5,6]=>0000000
[4,8,1,2,7,3,6,5]=>[1,4,2,8,5,7,6,3]=>[1,4,6,2,7,8,3,5]=>[8,5,3,7,2,1,6,4]=>0000000
[2,5,7,8,4,1,3,6]=>[1,2,5,4,8,6,3,7]=>[1,2,6,5,4,8,3,7]=>[8,7,3,4,5,1,6,2]=>0000000
[8,3,7,4,2,5,6,1]=>[1,8,2,3,7,6,5,4]=>[1,8,2,5,6,7,3,4]=>[8,1,7,4,3,2,6,5]=>0000000
[8,1,7,4,5,2,6,3]=>[1,8,3,7,6,2,4,5]=>[1,6,7,3,4,8,2,5]=>[8,3,2,6,5,1,7,4]=>0000000
[2,1,7,6,4,5,8,3]=>[1,2,3,7,8,4,6,5]=>[1,2,3,8,6,4,7,5]=>[8,7,6,1,3,5,2,4]=>0000000
[8,6,4,2,1,3,7,5]=>[1,8,5,2,6,3,4,7]=>[1,5,8,2,6,3,4,7]=>[8,4,1,7,3,6,5,2]=>0000000
[4,2,8,3,1,5,6,7]=>[1,4,3,8,7,6,5,2]=>[1,5,4,3,6,7,8,2]=>[8,4,5,6,3,2,1,7]=>0000000
[2,5,7,3,8,4,6,1]=>[1,2,5,8,3,7,6,4]=>[1,2,8,6,5,7,3,4]=>[8,7,1,3,4,2,6,5]=>0000000
[4,2,7,1,8,5,3,6]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[8,5,7,6,2,1,4,3]=>0000000
[8,3,6,7,1,5,4,2]=>[1,8,2,3,6,5,4,7]=>[1,8,2,5,6,3,4,7]=>[8,1,7,4,3,6,5,2]=>0000000
[2,7,4,5,8,3,6,1]=>[1,2,7,6,3,4,5,8]=>[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>0000000
[3,5,7,1,4,8,6,2]=>[1,3,7,6,8,2,5,4]=>[1,8,3,5,2,7,6,4]=>[8,1,6,4,7,2,3,5]=>0000000
[5,3,6,8,2,1,4,7]=>[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>[8,4,7,3,6,5,1,2]=>0000000
[7,8,4,1,5,3,2,6]=>[1,7,2,8,6,3,4,5]=>[1,7,6,3,4,8,2,5]=>[8,2,3,6,5,1,7,4]=>0000000
[3,1,2,7,5,6,8,4]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,5,7,6]=>[8,6,7,5,1,4,2,3]=>0000000
[6,2,7,1,3,4,8,5]=>[1,6,4,2,3,7,8,5]=>[1,4,2,6,8,3,7,5]=>[8,5,7,3,1,6,2,4]=>0000000
[4,7,2,6,3,8,1,5]=>[1,4,6,8,5,3,2,7]=>[1,3,5,4,8,6,2,7]=>[8,6,4,5,1,3,7,2]=>0000000
[7,3,8,2,6,5,1,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[8,2,7,1,5,4,6,3]=>0000000
[7,8,2,4,6,1,5,3]=>[1,7,5,6,2,8,3,4]=>[1,6,8,3,7,5,2,4]=>[8,3,1,6,2,4,7,5]=>0000000
[6,2,1,3,8,7,5,4]=>[1,6,7,5,8,4,3,2]=>[1,3,4,8,7,6,5,2]=>[8,6,5,1,2,3,4,7]=>0000000
[5,6,1,2,8,7,4,3]=>[1,5,8,3,2,6,7,4]=>[1,3,8,7,5,2,6,4]=>[8,6,1,2,4,7,3,5]=>0000000
[5,8,7,1,6,4,3,2]=>[1,5,6,4,2,8,3,7]=>[1,4,6,8,5,3,2,7]=>[8,5,3,1,4,6,7,2]=>0000000
[8,6,4,3,2,1,7,5]=>[1,8,5,2,6,3,4,7]=>[1,5,8,2,6,3,4,7]=>[8,4,1,7,3,6,5,2]=>0000000
[3,7,5,8,1,4,6,2]=>[1,3,5,2,7,6,4,8]=>[1,5,3,6,2,7,4,8]=>[8,4,6,3,7,2,5,1]=>0000000
[5,7,2,3,6,1,8,4]=>[1,5,6,2,7,8,4,3]=>[1,6,4,8,5,2,7,3]=>[8,3,5,1,4,7,2,6]=>0000000
[6,4,7,1,3,8,5,2]=>[1,6,8,2,4,3,7,5]=>[1,8,4,2,7,6,3,5]=>[8,1,5,7,2,3,6,4]=>0000000
[4,8,5,6,3,2,1,7]=>[1,4,6,2,8,7,3,5]=>[1,6,7,4,3,2,8,5]=>[8,3,2,5,6,7,1,4]=>0000000
[7,5,6,8,2,1,4,3]=>[1,7,4,8,3,6,2,5]=>[1,6,8,7,2,3,4,5]=>[8,3,1,2,7,6,5,4]=>0000000
[5,8,6,7,1,2,3,4]=>[1,5,2,8,4,7,3,6]=>[1,5,7,8,2,3,4,6]=>[8,4,2,1,7,6,5,3]=>0000000
[4,8,1,5,7,2,3,6]=>[1,4,5,7,3,2,8,6]=>[1,3,7,4,5,8,2,6]=>[8,6,2,5,4,1,7,3]=>0000000
[4,5,7,1,2,6,8,3]=>[1,4,2,5,3,7,8,6]=>[1,4,5,2,3,8,7,6]=>[8,5,4,7,6,1,2,3]=>0000000
[5,4,1,7,3,6,8,2]=>[1,5,3,2,4,7,8,6]=>[1,3,5,2,4,8,7,6]=>[8,6,4,7,5,1,2,3]=>0000000
[3,6,4,7,5,2,8,1]=>[1,3,4,7,8,2,6,5]=>[1,8,3,4,6,2,7,5]=>[8,1,6,5,3,7,2,4]=>0000000
[4,8,3,6,5,2,1,7]=>[1,4,6,2,8,7,3,5]=>[1,6,7,4,3,2,8,5]=>[8,3,2,5,6,7,1,4]=>0000000
[1,8,7,2,5,3,4,6]=>[1,2,8,6,3,7,4,5]=>[1,2,6,8,3,7,4,5]=>[8,7,3,1,6,2,5,4]=>0000000
[7,1,4,5,8,6,2,3]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>0000000
[5,1,6,8,4,2,7,3]=>[1,5,4,8,3,6,2,7]=>[1,6,8,5,4,3,2,7]=>[8,3,1,4,5,6,7,2]=>0000000
[7,5,8,6,3,4,2,1]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[8,2,4,1,7,5,6,3]=>0000000
[7,5,8,3,2,4,1,6]=>[1,7,2,5,3,8,6,4]=>[1,7,5,6,2,8,3,4]=>[8,2,4,3,7,1,6,5]=>0000000
[6,8,5,2,3,4,1,7]=>[1,6,4,2,8,7,3,5]=>[1,4,6,7,2,3,8,5]=>[8,5,3,2,7,6,1,4]=>0000000
[6,4,7,8,2,3,1,5]=>[1,6,3,7,2,4,8,5]=>[1,7,6,2,8,3,4,5]=>[8,2,3,7,1,6,5,4]=>0000000
[2,8,7,3,5,1,4,6]=>[1,2,8,6,3,7,4,5]=>[1,2,6,8,3,7,4,5]=>[8,7,3,1,6,2,5,4]=>0000000
[6,1,2,7,3,8,5,4]=>[1,6,8,4,7,5,3,2]=>[1,3,5,7,8,6,2,4]=>[8,6,4,2,1,3,7,5]=>0000000
[2,1,7,3,4,8,6,5]=>[1,2,3,7,6,8,5,4]=>[1,2,3,5,8,7,6,4]=>[8,7,6,4,1,2,3,5]=>0000000
[4,6,8,2,5,1,3,7]=>[1,4,2,6,3,8,7,5]=>[1,4,6,2,7,3,8,5]=>[8,5,3,7,2,6,1,4]=>0000000
[7,4,2,1,5,8,6,3]=>[1,7,6,8,3,2,4,5]=>[1,3,8,2,4,7,6,5]=>[8,6,1,7,5,2,3,4]=>0000000
[1,4,8,7,2,6,5,3]=>[1,2,4,7,5,3,8,6]=>[1,2,5,4,7,8,3,6]=>[8,7,4,5,2,1,6,3]=>0000000
[8,1,2,4,5,3,6,7]=>[1,8,7,6,3,2,4,5]=>[1,3,6,2,4,7,8,5]=>[8,6,3,7,5,2,1,4]=>0000000
[2,4,8,1,5,7,6,3]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[6,2,8,3,1,7,5,4]=>[1,6,7,5,2,3,8,4]=>[1,5,2,7,8,6,4,3]=>[8,4,7,2,1,3,5,6]=>0000000
[4,2,8,5,1,7,6,3]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[8,4,7,5,6,1,3,2]=>0000000
[4,3,7,8,5,1,2,6]=>[1,4,8,6,2,3,7,5]=>[1,6,2,4,8,7,5,3]=>[8,3,7,5,1,2,4,6]=>0000000
[8,7,4,3,6,2,5,1]=>[1,8,2,7,5,6,3,4]=>[1,8,6,3,7,5,2,4]=>[8,1,3,6,2,4,7,5]=>0000000
[8,5,6,3,7,2,4,1]=>[1,8,2,5,7,4,3,6]=>[1,8,4,7,2,3,5,6]=>[8,1,5,2,7,6,4,3]=>0000000
[7,5,8,3,6,2,4,1]=>[1,7,4,3,8,2,5,6]=>[1,8,4,7,2,5,3,6]=>[8,1,5,2,7,4,6,3]=>0000000
[6,4,7,3,5,2,8,1]=>[1,6,2,4,3,7,8,5]=>[1,6,4,2,8,3,7,5]=>[8,3,5,7,1,6,2,4]=>0000000
[6,5,8,4,7,2,3,1]=>[1,6,2,5,7,3,8,4]=>[1,6,7,8,2,5,3,4]=>[8,3,2,1,7,4,6,5]=>0000000
[5,4,7,3,8,2,6,1]=>[1,5,8,2,4,3,7,6]=>[1,8,4,2,5,7,3,6]=>[8,1,5,7,4,2,6,3]=>0000000
[5,4,6,3,8,2,7,1]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[8,1,5,7,4,6,3,2]=>0000000
[6,5,3,7,8,2,1,4]=>[1,6,2,5,8,4,7,3]=>[1,6,7,8,2,5,4,3]=>[8,3,2,1,7,4,5,6]=>0000000
[6,5,4,2,8,7,1,3]=>[1,6,7,2,5,8,3,4]=>[1,7,8,3,2,6,5,4]=>[8,2,1,6,7,3,4,5]=>0000000
[6,3,7,8,5,2,1,4]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>0000000
[5,8,1,7,4,2,3,6]=>[1,5,4,7,3,2,8,6]=>[1,3,7,5,4,8,2,6]=>[8,6,2,4,5,1,7,3]=>0000000
[4,7,8,1,2,5,3,6]=>[1,4,2,7,3,8,6,5]=>[1,4,7,2,6,8,3,5]=>[8,5,2,7,3,1,6,4]=>0000000
[2,6,3,4,7,8,1,5]=>[1,2,6,8,5,7,3,4]=>[1,2,7,3,8,6,5,4]=>[8,7,2,6,1,3,4,5]=>0000000
[4,2,8,6,3,1,7,5]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[8,3,7,5,1,6,4,2]=>0000000
[2,6,7,3,8,4,1,5]=>[1,2,6,4,3,7,5,8]=>[1,2,4,6,7,3,5,8]=>[8,7,5,3,2,6,4,1]=>0000000
[2,6,3,7,4,8,1,5]=>[1,2,6,8,5,4,7,3]=>[1,2,7,5,8,6,4,3]=>[8,7,2,4,1,3,5,6]=>0000000
[1,3,5,7,6,8,2,4]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[8,7,6,1,4,3,5,2]=>0000000
[1,3,5,7,6,2,8,4]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>0000000
[1,3,5,2,7,6,8,4]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[8,7,6,1,4,5,2,3]=>0000000
[1,3,5,7,6,2,4,8]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>0000000
[1,3,5,4,7,2,8,6]=>[1,2,3,5,7,8,6,4]=>[1,2,3,6,5,8,7,4]=>[8,7,6,3,4,1,2,5]=>0000000
[1,3,5,7,8,4,6,2]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[8,7,6,1,4,2,5,3]=>0000000
[1,3,5,2,7,8,6,4]=>[1,2,3,5,7,6,8,4]=>[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>0000000
[1,3,5,7,8,2,6,4]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[8,7,6,1,4,2,5,3]=>0000000
[1,3,5,7,8,6,2,4]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[8,7,6,1,4,2,5,3]=>0000000
[2,3,6,1,7,8,5,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000
[2,3,7,1,4,8,6,5]=>[1,2,3,7,6,8,5,4]=>[1,2,3,5,8,7,6,4]=>[8,7,6,4,1,2,3,5]=>0000000
[2,4,6,3,7,5,1,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[4,1,7,2,6,5,8,3]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[8,5,7,6,1,4,2,3]=>0000000
[5,6,7,2,1,4,8,3]=>[1,5,2,6,4,3,7,8]=>[1,5,4,6,2,3,7,8]=>[8,4,5,3,7,6,2,1]=>0000000
[4,3,2,8,1,6,5,7]=>[1,4,8,7,5,2,3,6]=>[1,5,2,4,7,3,8,6]=>[8,4,7,5,2,6,1,3]=>0000000
[2,6,1,4,7,3,8,5]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[7,8,2,5,3,6,1,4]=>[1,7,2,8,4,5,3,6]=>[1,7,5,8,4,3,2,6]=>[8,2,4,1,5,6,7,3]=>0000000
[8,4,2,5,6,7,1,3]=>[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>0000000
[2,3,8,7,6,5,1,4]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>0000000
[1,5,8,7,2,6,4,3]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>[8,7,4,1,6,2,5,3]=>0000000
[2,5,8,7,3,6,1,4]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>[8,7,4,1,6,2,5,3]=>0000000
[1,2,8,7,3,6,5,4]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>0000000
[1,5,8,7,3,2,6,4]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>[8,7,4,1,6,2,5,3]=>0000000
[4,5,8,7,3,2,1,6]=>[1,4,7,2,5,3,8,6]=>[1,7,5,4,2,8,3,6]=>[8,2,4,5,7,1,6,3]=>0000000
[2,6,8,3,7,5,1,4]=>[1,2,6,5,7,3,8,4]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>0000000
[2,5,8,3,7,6,1,4]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[8,7,2,1,4,5,6,3]=>0000000
[1,5,8,4,7,2,6,3]=>[1,2,5,7,6,3,8,4]=>[1,2,6,7,5,8,4,3]=>[8,7,3,2,4,1,5,6]=>0000000
[1,5,8,3,7,2,6,4]=>[1,2,5,7,6,3,8,4]=>[1,2,6,7,5,8,4,3]=>[8,7,3,2,4,1,5,6]=>0000000
[1,5,8,4,2,7,6,3]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[7,1,4,8,2,6,5,3]=>[1,7,5,2,3,4,8,6]=>[1,5,2,3,7,8,4,6]=>[8,4,7,6,2,1,5,3]=>0000000
[3,6,2,8,7,5,1,4]=>[1,3,2,6,5,7,4,8]=>[1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>0000000
[3,2,4,8,7,6,1,5]=>[1,3,4,8,5,7,2,6]=>[1,7,3,4,8,2,5,6]=>[8,2,6,5,1,7,4,3]=>0000000
[2,4,5,8,3,7,1,6]=>[1,2,4,8,6,7,3,5]=>[1,2,7,4,3,8,6,5]=>[8,7,2,5,6,1,3,4]=>0000000
[1,4,5,8,3,2,7,6]=>[1,2,4,8,6,3,5,7]=>[1,2,6,4,3,8,5,7]=>[8,7,3,5,6,1,4,2]=>0000000
[4,6,5,8,3,2,1,7]=>[1,4,8,7,2,6,3,5]=>[1,7,6,4,3,2,8,5]=>[8,2,3,5,6,7,1,4]=>0000000
[7,6,1,4,8,2,5,3]=>[1,7,5,8,3,2,6,4]=>[1,3,8,6,7,2,5,4]=>[8,6,1,3,2,7,4,5]=>0000000
[7,2,5,3,8,6,1,4]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>0000000
[2,6,1,4,8,7,5,3]=>[1,2,6,7,5,8,3,4]=>[1,2,8,3,7,6,5,4]=>[8,7,1,6,2,3,4,5]=>0000000
[7,1,5,2,3,8,6,4]=>[1,7,6,8,4,2,3,5]=>[1,4,2,8,3,7,6,5]=>[8,5,7,1,6,2,3,4]=>0000000
[8,2,7,6,5,4,1,3]=>[1,8,3,7,2,4,6,5]=>[1,7,8,2,6,4,3,5]=>[8,2,1,7,3,5,6,4]=>0000000
[4,8,5,7,6,3,2,1]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[8,2,1,5,6,4,7,3]=>0000000
[4,3,5,7,2,6,8,1]=>[1,4,7,8,2,3,5,6]=>[1,8,2,4,3,5,7,6]=>[8,1,7,5,6,4,2,3]=>0000000
[4,6,3,5,1,7,8,2]=>[1,4,5,2,6,7,8,3]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>0000000
[4,6,3,5,7,2,8,1]=>[1,4,5,7,8,2,6,3]=>[1,8,6,4,5,2,7,3]=>[8,1,3,5,4,7,2,6]=>0000000
[3,5,6,4,1,7,8,2]=>[1,3,6,7,8,2,5,4]=>[1,8,3,5,2,6,7,4]=>[8,1,6,4,7,3,2,5]=>0000000
[1,6,7,3,4,5,8,2]=>[1,2,6,5,4,3,7,8]=>[1,2,4,5,6,3,7,8]=>[8,7,5,4,3,6,2,1]=>0000000
[1,4,6,7,3,8,2,5]=>[1,2,4,7,3,6,8,5]=>[1,2,7,4,8,3,6,5]=>[8,7,2,5,1,6,3,4]=>0000000
[5,7,2,8,1,3,4,6]=>[1,5,2,7,4,8,6,3]=>[1,5,6,8,2,7,3,4]=>[8,4,3,1,7,2,6,5]=>0000000
[3,5,7,2,6,8,1,4]=>[1,3,7,2,5,6,8,4]=>[1,7,3,8,2,5,6,4]=>[8,2,6,1,7,4,3,5]=>0000000
[6,3,7,2,5,8,1,4]=>[1,6,8,4,2,3,7,5]=>[1,4,2,8,7,6,3,5]=>[8,5,7,1,2,3,6,4]=>0000000
[2,4,7,1,5,6,8,3]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,5,7,6]=>[8,7,5,6,1,4,2,3]=>0000000
[6,4,3,7,2,8,1,5]=>[1,6,8,5,2,4,7,3]=>[1,5,8,3,7,6,4,2]=>[8,4,1,6,2,3,5,7]=>0000000
[5,6,3,7,2,4,8,1]=>[1,5,2,6,4,7,8,3]=>[1,5,8,6,2,4,7,3]=>[8,4,1,3,7,5,2,6]=>0000000
[7,6,4,2,1,3,8,5]=>[1,7,8,5,2,6,3,4]=>[1,5,8,2,6,3,7,4]=>[8,4,1,7,3,6,2,5]=>0000000
[7,6,3,4,1,2,8,5]=>[1,7,8,5,2,6,3,4]=>[1,5,8,2,6,3,7,4]=>[8,4,1,7,3,6,2,5]=>0000000
[6,4,7,2,5,1,8,3]=>[1,6,2,4,3,7,8,5]=>[1,6,4,2,8,3,7,5]=>[8,3,5,7,1,6,2,4]=>0000000
[6,5,3,7,1,8,2,4]=>[1,6,8,4,7,2,5,3]=>[1,7,5,8,2,6,4,3]=>[8,2,4,1,7,3,5,6]=>0000000
[7,3,8,5,6,4,1,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[8,2,7,1,5,4,6,3]=>0000000
[1,5,7,8,6,3,4,2]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>[8,7,3,2,4,6,5,1]=>0000000
[5,1,7,8,3,6,4,2]=>[1,5,3,7,4,8,2,6]=>[1,8,5,7,3,2,4,6]=>[8,1,4,2,6,7,5,3]=>0000000
[3,1,7,8,5,6,4,2]=>[1,3,7,4,8,2,5,6]=>[1,8,3,7,2,5,4,6]=>[8,1,6,2,7,4,5,3]=>0000000
[5,1,7,3,8,6,4,2]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[8,1,7,2,4,5,6,3]=>0000000
[7,3,5,1,8,6,4,2]=>[1,7,4,2,3,5,8,6]=>[1,4,2,7,3,8,5,6]=>[8,5,7,2,6,1,4,3]=>0000000
[5,3,7,1,8,6,4,2]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[8,1,7,2,4,5,6,3]=>0000000
[1,5,7,3,8,6,4,2]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[8,7,1,2,4,5,6,3]=>0000000
[5,7,8,1,6,3,4,2]=>[1,5,6,3,8,2,7,4]=>[1,8,6,7,5,3,2,4]=>[8,1,3,2,4,6,7,5]=>0000000
[1,7,8,3,5,6,4,2]=>[1,2,7,4,3,8,5,6]=>[1,2,4,7,8,5,3,6]=>[8,7,5,2,1,4,6,3]=>0000000
[7,5,1,3,8,6,4,2]=>[1,7,4,3,2,5,8,6]=>[1,3,4,7,2,8,5,6]=>[8,6,5,2,7,1,4,3]=>0000000
[3,5,1,7,8,6,4,2]=>[1,3,2,5,8,4,7,6]=>[1,3,2,8,5,7,4,6]=>[8,6,7,1,4,2,5,3]=>0000000
[5,3,1,7,8,6,4,2]=>[1,5,8,2,3,4,7,6]=>[1,8,2,3,5,7,4,6]=>[8,1,7,6,4,2,5,3]=>0000000
[7,3,1,5,8,6,4,2]=>[1,7,4,5,8,2,3,6]=>[1,8,2,7,4,3,5,6]=>[8,1,7,2,5,6,4,3]=>0000000
[7,1,8,3,5,6,4,2]=>[1,7,4,3,8,2,5,6]=>[1,8,4,7,2,5,3,6]=>[8,1,5,2,7,4,6,3]=>0000000
[7,1,3,5,8,6,4,2]=>[1,7,4,5,8,2,3,6]=>[1,8,2,7,4,3,5,6]=>[8,1,7,2,5,6,4,3]=>0000000
[5,1,3,7,8,6,4,2]=>[1,5,8,2,3,4,7,6]=>[1,8,2,3,5,7,4,6]=>[8,1,7,6,4,2,5,3]=>0000000
[2,1,8,4,6,7,3,5]=>[1,2,3,8,5,6,7,4]=>[1,2,3,7,8,5,6,4]=>[8,7,6,2,1,4,3,5]=>0000000
[3,8,1,5,6,7,2,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>0000000
[8,2,3,5,7,1,6,4]=>[1,8,4,5,7,6,2,3]=>[1,6,2,7,3,8,5,4]=>[8,3,7,2,6,1,4,5]=>0000000
[8,1,2,7,3,5,6,4]=>[1,8,4,7,6,5,3,2]=>[1,3,5,6,7,8,4,2]=>[8,6,4,3,2,1,5,7]=>0000000
[2,4,8,3,5,6,7,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[6,4,7,5,2,3,8,1]=>[1,6,3,7,8,2,4,5]=>[1,8,6,2,4,3,7,5]=>[8,1,3,7,5,6,2,4]=>0000000
[8,7,2,6,4,1,5,3]=>[1,8,3,2,7,5,4,6]=>[1,3,8,5,7,4,2,6]=>[8,6,1,4,2,5,7,3]=>0000000
[2,1,5,7,8,4,6,3]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[8,7,6,1,4,2,5,3]=>0000000
[6,1,7,4,3,2,8,5]=>[1,6,2,3,7,8,5,4]=>[1,6,2,5,8,3,7,4]=>[8,3,7,4,1,6,2,5]=>0000000
[3,4,8,2,5,7,6,1]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>0000000
[4,7,5,6,8,3,1,2]=>[1,4,6,3,5,8,2,7]=>[1,8,6,4,3,5,2,7]=>[8,1,3,5,6,4,7,2]=>0000000
[8,6,4,7,5,3,1,2]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[8,1,3,6,2,7,5,4]=>0000000
[1,6,3,7,5,8,4,2]=>[1,2,6,8,3,4,7,5]=>[1,2,8,3,7,6,4,5]=>[8,7,1,6,2,3,5,4]=>0000000
[1,3,7,4,5,8,6,2]=>[1,2,3,7,6,8,4,5]=>[1,2,3,8,4,7,6,5]=>[8,7,6,1,5,2,3,4]=>0000000
[7,3,8,5,4,6,1,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[8,2,7,1,5,4,6,3]=>0000000
[3,4,8,5,6,7,1,2]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>0000000
[2,1,3,8,4,7,5,6]=>[1,2,3,4,8,6,7,5]=>[1,2,3,4,7,8,6,5]=>[8,7,6,5,2,1,3,4]=>0000000
[3,1,2,8,4,6,7,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>0000000
[2,4,8,3,1,5,6,7]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,6,7,8,5]=>[8,7,5,6,3,2,1,4]=>0000000
[1,3,7,2,8,4,6,5]=>[1,2,3,7,6,4,5,8]=>[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>0000000
[2,6,4,5,7,1,3,8]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[5,4,6,2,7,1,3,8]=>[1,5,7,3,6,2,4,8]=>[1,6,7,2,5,3,4,8]=>[8,3,2,7,4,6,5,1]=>0000000
[5,8,3,1,7,4,6,2]=>[1,5,7,6,4,2,8,3]=>[1,4,6,7,5,8,2,3]=>[8,5,3,2,4,1,7,6]=>0000000
[3,4,1,8,5,6,7,2]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>0000000
[1,2,8,7,6,3,5,4]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>0000000
[3,1,8,7,6,4,5,2]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[8,1,6,7,2,4,5,3]=>0000000
[1,2,3,8,6,4,5,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[8,3,6,2,4,5,7,1]=>[1,8,2,3,6,5,4,7]=>[1,8,2,5,6,3,4,7]=>[8,1,7,4,3,6,5,2]=>0000000
[2,7,6,4,5,8,3,1]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>[8,7,2,1,5,6,3,4]=>0000000
[3,7,1,8,6,2,5,4]=>[1,3,2,7,5,6,4,8]=>[1,3,2,6,7,5,4,8]=>[8,6,7,3,2,4,5,1]=>0000000
[7,3,6,4,2,8,5,1]=>[1,7,5,2,3,6,8,4]=>[1,5,2,7,8,4,6,3]=>[8,4,7,2,1,5,3,6]=>0000000
[5,4,8,7,3,1,2,6]=>[1,5,3,8,6,2,4,7]=>[1,6,5,2,3,8,4,7]=>[8,3,4,7,6,1,5,2]=>0000000
[6,8,3,7,2,5,4,1]=>[1,6,5,2,8,3,4,7]=>[1,5,6,2,8,3,4,7]=>[8,4,3,7,1,6,5,2]=>0000000
[5,3,6,8,7,2,4,1]=>[1,5,7,4,8,2,3,6]=>[1,8,2,7,5,3,4,6]=>[8,1,7,2,4,6,5,3]=>0000000
[6,1,3,8,2,7,4,5]=>[1,6,7,4,8,5,2,3]=>[1,5,2,8,7,6,3,4]=>[8,4,7,1,2,3,6,5]=>0000000
[7,4,2,5,1,8,6,3]=>[1,7,6,8,3,2,4,5]=>[1,3,8,2,4,7,6,5]=>[8,6,1,7,5,2,3,4]=>0000000
[5,3,6,2,8,1,7,4]=>[1,5,8,4,2,3,6,7]=>[1,4,2,8,5,3,6,7]=>[8,5,7,1,4,6,3,2]=>0000000
[6,4,2,8,5,1,7,3]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>0000000
[4,5,8,3,1,7,6,2]=>[1,4,3,8,2,5,6,7]=>[1,8,4,3,2,5,6,7]=>[8,1,5,6,7,4,3,2]=>0000000
[3,4,7,8,2,1,6,5]=>[1,3,7,6,2,4,8,5]=>[1,6,3,2,7,8,5,4]=>[8,3,6,7,2,1,4,5]=>0000000
[5,2,6,1,3,4,8,7]=>[1,5,3,6,4,2,7,8]=>[1,4,6,5,2,3,7,8]=>[8,5,3,4,7,6,2,1]=>0000000
[4,8,2,6,5,7,1,3]=>[1,4,6,7,2,8,3,5]=>[1,7,8,4,3,6,2,5]=>[8,2,1,5,6,3,7,4]=>0000000
[4,3,7,2,5,6,1,8]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000
[3,5,8,7,2,4,6,1]=>[1,3,8,2,5,4,7,6]=>[1,8,3,5,2,7,4,6]=>[8,1,6,4,7,2,5,3]=>0000000
[2,7,1,3,6,5,4,8]=>[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000
[8,7,3,6,1,5,4,2]=>[1,8,2,7,4,6,5,3]=>[1,8,5,6,7,3,2,4]=>[8,1,4,3,2,6,7,5]=>0000000
[8,3,2,1,4,7,6,5]=>[1,8,5,4,2,3,6,7]=>[1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>0000000
[2,7,5,1,3,8,6,4]=>[1,2,7,6,8,4,3,5]=>[1,2,4,8,3,7,6,5]=>[8,7,5,1,6,2,3,4]=>0000000
[4,1,7,8,5,3,2,6]=>[1,4,8,6,3,7,2,5]=>[1,7,6,4,2,8,3,5]=>[8,2,3,5,7,1,6,4]=>0000000
[6,2,7,5,3,1,8,4]=>[1,6,2,3,7,8,4,5]=>[1,6,2,8,4,3,7,5]=>[8,3,7,1,5,6,2,4]=>0000000
[8,4,7,3,1,6,5,2]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[8,1,5,7,2,4,6,3]=>0000000
[5,7,1,6,2,8,3,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[6,7,2,5,1,8,3,4]=>[1,6,8,4,5,2,7,3]=>[1,5,7,8,4,6,2,3]=>[8,4,2,1,5,3,7,6]=>0000000
[2,3,1,8,5,6,4,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[4,7,1,8,5,6,2,3]=>[1,4,8,3,2,7,5,6]=>[1,3,8,4,7,5,2,6]=>[8,6,1,5,2,4,7,3]=>0000000
[3,4,2,6,5,8,1,7]=>[1,3,2,4,6,8,7,5]=>[1,3,2,4,7,6,8,5]=>[8,6,7,5,2,3,1,4]=>0000000
[6,8,7,2,1,4,3,5]=>[1,6,4,2,8,5,3,7]=>[1,4,6,5,8,3,2,7]=>[8,5,3,4,1,6,7,2]=>0000000
[8,6,2,4,3,1,5,7]=>[1,8,7,5,3,2,6,4]=>[1,3,5,7,6,4,8,2]=>[8,6,4,2,3,5,1,7]=>0000000
[2,8,6,7,4,3,1,5]=>[1,2,8,5,4,7,3,6]=>[1,2,7,5,8,3,4,6]=>[8,7,2,4,1,6,5,3]=>0000000
[8,2,4,3,6,5,1,7]=>[1,8,7,2,3,4,5,6]=>[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>0000000
[6,2,1,8,7,4,3,5]=>[1,6,4,8,5,7,3,2]=>[1,3,7,6,8,4,5,2]=>[8,6,2,3,1,5,4,7]=>0000000
[6,2,1,8,4,3,7,5]=>[1,6,3,2,4,8,5,7]=>[1,3,6,2,8,4,5,7]=>[8,6,3,7,1,5,4,2]=>0000000
[4,6,5,8,7,2,1,3]=>[1,4,8,3,5,7,2,6]=>[1,7,8,4,3,2,5,6]=>[8,2,1,5,6,7,4,3]=>0000000
[7,4,5,2,3,8,6,1]=>[1,7,6,8,2,4,3,5]=>[1,8,4,2,3,7,6,5]=>[8,1,5,7,6,2,3,4]=>0000000
[8,2,3,4,5,7,1,6]=>[1,8,6,7,2,3,4,5]=>[1,7,2,3,4,8,6,5]=>[8,2,7,6,5,1,3,4]=>0000000
[3,8,2,5,4,7,6,1]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>0000000
[4,7,2,3,8,5,1,6]=>[1,4,3,2,7,5,8,6]=>[1,3,4,2,7,8,5,6]=>[8,6,5,7,2,1,4,3]=>0000000
[3,6,1,7,8,5,4,2]=>[1,3,2,6,5,8,4,7]=>[1,3,2,8,6,5,4,7]=>[8,6,7,1,3,4,5,2]=>0000000
[8,2,3,5,7,1,4,6]=>[1,8,6,2,3,4,5,7]=>[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>0000000
[5,4,8,3,6,7,1,2]=>[1,5,6,7,2,4,3,8]=>[1,7,4,2,5,6,3,8]=>[8,2,5,7,4,3,6,1]=>0000000
[4,5,8,3,6,7,2,1]=>[1,4,3,8,2,5,6,7]=>[1,8,4,3,2,5,6,7]=>[8,1,5,6,7,4,3,2]=>0000000
[3,8,2,4,5,6,7,1]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>0000000
[1,8,5,3,7,4,6,2]=>[1,2,8,3,5,7,6,4]=>[1,2,8,6,3,7,5,4]=>[8,7,1,3,6,2,4,5]=>0000000
[5,3,2,8,7,1,4,6]=>[1,5,7,4,8,6,2,3]=>[1,6,2,8,5,7,3,4]=>[8,3,7,1,4,2,6,5]=>0000000
[1,2,8,7,5,6,3,4]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>0000000
[1,4,8,6,5,7,2,3]=>[1,2,4,6,7,3,8,5]=>[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>0000000
[3,5,4,8,6,1,2,7]=>[1,3,4,8,7,2,5,6]=>[1,7,3,4,2,5,8,6]=>[8,2,6,5,7,4,1,3]=>0000000
[4,3,5,8,1,7,2,6]=>[1,4,8,6,7,2,3,5]=>[1,7,2,4,3,8,6,5]=>[8,2,7,5,6,1,3,4]=>0000000
[1,4,5,8,6,7,3,2]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>0000000
[4,3,1,8,5,6,7,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>0000000
[6,2,8,4,3,1,7,5]=>[1,6,2,3,8,5,4,7]=>[1,6,2,5,8,3,4,7]=>[8,3,7,4,1,6,5,2]=>0000000
[4,7,1,8,2,6,5,3]=>[1,4,8,3,2,7,5,6]=>[1,3,8,4,7,5,2,6]=>[8,6,1,5,2,4,7,3]=>0000000
[1,4,8,3,5,7,6,2]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[8,2,1,4,6,5,7,3]=>[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>0000000
[4,1,8,5,2,7,6,3]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[8,4,7,5,6,1,3,2]=>0000000
[4,1,8,2,3,7,5,6]=>[1,4,2,3,8,6,7,5]=>[1,4,2,3,7,8,6,5]=>[8,5,7,6,2,1,3,4]=>0000000
[5,7,3,4,1,6,2,8]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[4,2,8,1,5,6,7,3]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[1,5,8,4,2,6,7,3]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[5,2,6,4,1,3,7,8]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>0000000
[1,2,6,4,8,3,7,5]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>0000000
[8,7,4,1,6,2,3,5]=>[1,8,5,6,2,7,3,4]=>[1,6,7,3,8,5,2,4]=>[8,3,2,6,1,4,7,5]=>0000000
[7,3,8,1,5,2,4,6]=>[1,7,4,2,3,8,6,5]=>[1,4,2,7,6,8,3,5]=>[8,5,7,2,3,1,6,4]=>0000000
[1,8,4,2,3,6,7,5]=>[1,2,8,5,3,4,6,7]=>[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>0000000
[4,1,7,2,3,6,8,5]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[8,5,7,6,1,4,2,3]=>0000000
[5,6,2,7,1,4,8,3]=>[1,5,2,6,4,7,8,3]=>[1,5,8,6,2,4,7,3]=>[8,4,1,3,7,5,2,6]=>0000000
[2,7,8,3,6,1,4,5]=>[1,2,7,4,3,8,5,6]=>[1,2,4,7,8,5,3,6]=>[8,7,5,2,1,4,6,3]=>0000000
[2,3,6,1,8,5,7,4]=>[1,2,3,6,5,8,4,7]=>[1,2,3,8,6,5,4,7]=>[8,7,6,1,3,4,5,2]=>0000000
[4,1,8,2,5,7,3,6]=>[1,4,2,3,8,6,7,5]=>[1,4,2,3,7,8,6,5]=>[8,5,7,6,2,1,3,4]=>0000000
[2,6,4,1,5,3,8,7]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[8,3,4,2,1,6,5,7]=>[1,8,7,5,2,3,4,6]=>[1,5,2,3,7,4,8,6]=>[8,4,7,6,2,5,1,3]=>0000000
[8,6,1,3,5,2,4,7]=>[1,8,7,4,3,2,6,5]=>[1,3,4,7,6,2,8,5]=>[8,6,5,2,3,7,1,4]=>0000000
[5,6,1,7,4,2,8,3]=>[1,5,4,7,8,3,2,6]=>[1,3,8,5,4,2,7,6]=>[8,6,1,4,5,7,2,3]=>0000000
[2,7,8,3,4,6,1,5]=>[1,2,7,3,8,5,4,6]=>[1,2,7,5,8,4,3,6]=>[8,7,2,4,1,5,6,3]=>0000000
[7,5,8,4,1,3,2,6]=>[1,7,2,5,3,8,6,4]=>[1,7,5,6,2,8,3,4]=>[8,2,4,3,7,1,6,5]=>0000000
[5,7,3,1,6,8,4,2]=>[1,5,6,8,2,7,4,3]=>[1,8,4,7,5,6,2,3]=>[8,1,5,2,4,3,7,6]=>0000000
[4,5,6,7,3,1,8,2]=>[1,4,7,8,2,5,3,6]=>[1,8,5,4,2,3,7,6]=>[8,1,4,5,7,6,2,3]=>0000000
[7,5,4,6,2,8,1,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[8,2,4,6,7,5,3,1]=>0000000
[2,1,6,3,8,5,4,7]=>[1,2,3,6,5,8,7,4]=>[1,2,3,7,6,5,8,4]=>[8,7,6,2,3,4,1,5]=>0000000
[8,2,3,4,6,7,1,5]=>[1,8,5,6,7,2,3,4]=>[1,7,2,3,8,5,6,4]=>[8,2,7,6,1,4,3,5]=>0000000
[7,8,5,3,6,4,2,1]=>[1,7,2,8,3,5,6,4]=>[1,7,8,6,3,5,2,4]=>[8,2,1,3,6,4,7,5]=>0000000
[7,4,6,8,5,1,3,2]=>[1,7,3,6,2,4,8,5]=>[1,6,7,2,8,3,4,5]=>[8,3,2,7,1,6,5,4]=>0000000
[6,4,8,3,5,7,1,2]=>[1,6,7,2,4,3,8,5]=>[1,7,4,2,8,6,3,5]=>[8,2,5,7,1,3,6,4]=>0000000
[4,8,7,6,5,2,3,1]=>[1,4,6,2,8,3,7,5]=>[1,6,8,4,7,2,3,5]=>[8,3,1,5,2,7,6,4]=>0000000
[6,5,7,3,1,8,4,2]=>[1,6,8,2,5,3,7,4]=>[1,8,5,7,2,6,3,4]=>[8,1,4,2,7,3,6,5]=>0000000
[8,4,2,5,6,1,7,3]=>[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>0000000
[6,1,5,7,2,4,8,3]=>[1,6,4,7,8,3,5,2]=>[1,5,8,6,3,4,7,2]=>[8,4,1,3,6,5,2,7]=>0000000
[4,7,5,2,1,3,8,6]=>[1,4,2,7,8,6,3,5]=>[1,4,6,2,3,8,7,5]=>[8,5,3,7,6,1,2,4]=>0000000
[8,6,2,3,7,1,4,5]=>[1,8,5,7,4,3,2,6]=>[1,3,4,7,8,2,5,6]=>[8,6,5,2,1,7,4,3]=>0000000
[2,3,1,7,8,6,4,5]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>0000000
[5,4,1,6,3,8,7,2]=>[1,5,3,2,4,6,8,7]=>[1,3,5,2,4,6,8,7]=>[8,6,4,7,5,3,1,2]=>0000000
[3,5,6,2,4,8,7,1]=>[1,3,6,8,2,5,4,7]=>[1,8,3,5,2,6,4,7]=>[8,1,6,4,7,3,5,2]=>0000000
[6,1,2,8,7,4,3,5]=>[1,6,4,8,5,7,3,2]=>[1,3,7,6,8,4,5,2]=>[8,6,2,3,1,5,4,7]=>0000000
[8,5,1,3,7,4,6,2]=>[1,8,2,5,7,6,4,3]=>[1,8,4,6,2,7,5,3]=>[8,1,5,3,7,2,4,6]=>0000000
[2,1,7,8,3,4,6,5]=>[1,2,3,7,6,4,8,5]=>[1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>0000000
[7,5,1,8,4,2,6,3]=>[1,7,6,2,5,4,8,3]=>[1,6,7,5,3,8,4,2]=>[8,3,2,4,6,1,5,7]=>0000000
[2,1,7,3,5,8,6,4]=>[1,2,3,7,6,8,4,5]=>[1,2,3,8,4,7,6,5]=>[8,7,6,1,5,2,3,4]=>0000000
[7,8,2,4,3,1,5,6]=>[1,7,5,3,2,8,6,4]=>[1,3,5,7,6,8,4,2]=>[8,6,4,2,3,1,5,7]=>0000000
[3,7,6,4,5,1,8,2]=>[1,3,6,2,7,8,4,5]=>[1,6,3,8,4,2,7,5]=>[8,3,6,1,5,7,2,4]=>0000000
[4,2,7,5,8,3,6,1]=>[1,4,5,8,2,3,7,6]=>[1,8,2,4,5,7,3,6]=>[8,1,7,5,4,2,6,3]=>0000000
[4,6,2,1,7,8,3,5]=>[1,4,2,6,8,5,7,3]=>[1,4,7,2,8,6,5,3]=>[8,5,2,7,1,3,4,6]=>0000000
[7,1,8,3,5,4,6,2]=>[1,7,6,4,3,8,2,5]=>[1,8,4,6,2,7,3,5]=>[8,1,5,3,7,2,6,4]=>0000000
[8,7,6,5,1,3,2,4]=>[1,8,4,5,2,7,3,6]=>[1,5,7,8,4,3,2,6]=>[8,4,2,1,5,6,7,3]=>0000000
[5,4,8,7,6,3,1,2]=>[1,5,6,3,8,2,4,7]=>[1,8,6,2,5,3,4,7]=>[8,1,3,7,4,6,5,2]=>0000000
[4,5,8,2,1,7,6,3]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[8,5,4,7,6,1,3,2]=>0000000
[3,4,1,2,7,8,6,5]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[8,1,3,5,4,7,2,6]=>[1,8,6,7,2,3,4,5]=>[1,7,2,3,4,8,6,5]=>[8,2,7,6,5,1,3,4]=>0000000
[6,7,8,1,4,5,3,2]=>[1,6,5,4,2,7,3,8]=>[1,4,5,6,7,2,3,8]=>[8,5,4,3,2,7,6,1]=>0000000
[6,1,2,8,7,3,5,4]=>[1,6,3,2,4,8,5,7]=>[1,3,6,2,8,4,5,7]=>[8,6,3,7,1,5,4,2]=>0000000
[7,5,4,2,3,8,1,6]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[8,2,4,6,7,5,3,1]=>0000000
[2,1,4,5,8,6,3,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[6,7,8,2,3,5,4,1]=>[1,6,5,3,8,2,7,4]=>[1,8,5,6,7,4,2,3]=>[8,1,4,3,2,5,7,6]=>0000000
[1,3,2,8,5,4,6,7]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>0000000
[5,2,7,1,8,4,3,6]=>[1,5,8,6,4,2,3,7]=>[1,4,2,6,5,8,3,7]=>[8,5,7,3,4,1,6,2]=>0000000
[6,7,3,1,5,8,2,4]=>[1,6,8,4,2,7,3,5]=>[1,4,8,7,2,6,3,5]=>[8,5,1,2,7,3,6,4]=>0000000
[2,5,6,1,8,4,3,7]=>[1,2,5,8,7,3,6,4]=>[1,2,7,6,5,3,8,4]=>[8,7,2,3,4,6,1,5]=>0000000
[5,3,7,8,4,6,2,1]=>[1,5,4,8,2,3,7,6]=>[1,8,2,5,4,7,3,6]=>[8,1,7,4,5,2,6,3]=>0000000
[6,7,3,8,4,5,2,1]=>[1,6,5,4,8,2,7,3]=>[1,8,7,5,6,4,2,3]=>[8,1,2,4,3,5,7,6]=>0000000
[4,2,8,6,7,3,5,1]=>[1,4,6,3,8,2,5,7]=>[1,8,6,4,2,3,5,7]=>[8,1,3,5,7,6,4,2]=>0000000
[3,2,8,7,5,4,6,1]=>[1,3,8,2,4,7,6,5]=>[1,8,3,2,6,7,4,5]=>[8,1,6,7,3,2,5,4]=>0000000
[2,8,7,1,4,5,3,6]=>[1,2,8,6,5,4,3,7]=>[1,2,4,5,6,8,3,7]=>[8,7,5,4,3,1,6,2]=>0000000
[1,4,6,3,7,2,8,5]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[3,8,6,2,7,4,1,5]=>[1,3,6,4,2,8,5,7]=>[1,4,3,6,8,2,5,7]=>[8,5,6,3,1,7,4,2]=>0000000
[8,1,2,4,6,7,5,3]=>[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>0000000
[8,6,2,4,1,3,7,5]=>[1,8,5,2,6,3,4,7]=>[1,5,8,2,6,3,4,7]=>[8,4,1,7,3,6,5,2]=>0000000
[5,2,1,8,3,6,7,4]=>[1,5,3,2,4,8,6,7]=>[1,3,5,2,4,8,6,7]=>[8,6,4,7,5,1,3,2]=>0000000
[7,3,8,2,5,6,4,1]=>[1,7,4,2,3,8,5,6]=>[1,4,2,7,8,5,3,6]=>[8,5,7,2,1,4,6,3]=>0000000
[3,1,5,4,2,8,6,7]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]=>[8,4,6,7,5,3,1,2]=>0000000
[6,2,7,1,4,8,5,3]=>[1,6,8,3,7,5,4,2]=>[1,4,5,7,8,6,3,2]=>[8,5,4,2,1,3,6,7]=>0000000
[6,3,7,1,8,2,5,4]=>[1,6,2,3,7,5,8,4]=>[1,6,2,8,7,3,5,4]=>[8,3,7,1,2,6,4,5]=>0000000
[2,7,4,1,8,3,6,5]=>[1,2,7,6,3,4,5,8]=>[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>0000000
[5,8,7,1,3,6,4,2]=>[1,5,3,7,4,2,8,6]=>[1,4,7,5,2,8,3,6]=>[8,5,2,4,7,1,6,3]=>0000000
[2,8,7,1,6,3,5,4]=>[1,2,8,4,3,7,5,6]=>[1,2,4,8,7,5,3,6]=>[8,7,5,1,2,4,6,3]=>0000000
[8,3,1,7,6,5,4,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[8,2,3,1,5,7,6,4]=>[1,8,4,2,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>0000000
[1,4,8,2,3,6,7,5]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[3,1,2,7,8,6,4,5]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[8,6,7,5,2,1,4,3]=>0000000
[3,8,4,1,2,7,6,5]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>[8,5,6,7,1,4,3,2]=>0000000
[2,3,7,6,8,1,5,4]=>[1,2,3,7,5,8,4,6]=>[1,2,3,8,7,4,5,6]=>[8,7,6,1,2,5,4,3]=>0000000
[1,2,8,7,5,4,3,6]=>[1,2,3,8,6,4,7,5]=>[1,2,3,6,8,7,5,4]=>[8,7,6,3,1,2,4,5]=>0000000
[3,4,8,7,5,6,1,2]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[8,1,6,7,2,4,5,3]=>0000000
[4,8,1,2,6,7,3,5]=>[1,4,2,8,5,6,7,3]=>[1,4,7,2,8,5,6,3]=>[8,5,2,7,1,4,3,6]=>0000000
[4,2,7,8,1,3,6,5]=>[1,4,8,5,2,3,7,6]=>[1,5,2,4,8,7,3,6]=>[8,4,7,5,1,2,6,3]=>0000000
[2,1,8,7,6,3,5,4]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>0000000
[5,1,7,2,8,6,4,3]=>[1,5,8,3,7,4,2,6]=>[1,4,7,8,5,3,2,6]=>[8,5,2,1,4,6,7,3]=>0000000
[4,2,1,6,3,8,7,5]=>[1,4,6,8,5,3,2,7]=>[1,3,5,4,8,6,2,7]=>[8,6,4,5,1,3,7,2]=>0000000
[5,1,7,3,6,2,8,4]=>[1,5,6,2,3,7,8,4]=>[1,6,2,8,5,3,7,4]=>[8,3,7,1,4,6,2,5]=>0000000
[6,8,4,7,1,5,3,2]=>[1,6,5,2,8,3,4,7]=>[1,5,6,2,8,3,4,7]=>[8,4,3,7,1,6,5,2]=>0000000
[2,1,5,4,8,7,3,6]=>[1,2,3,5,8,6,7,4]=>[1,2,3,7,5,8,6,4]=>[8,7,6,2,4,1,3,5]=>0000000
[2,1,4,8,6,5,3,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[5,6,3,1,2,4,8,7]=>[1,5,2,6,4,3,7,8]=>[1,5,4,6,2,3,7,8]=>[8,4,5,3,7,6,2,1]=>0000000
[7,1,5,3,8,4,6,2]=>[1,7,6,4,3,5,8,2]=>[1,8,4,6,3,7,5,2]=>[8,1,5,3,6,2,4,7]=>0000000
[3,7,6,4,2,8,5,1]=>[1,3,6,8,2,7,5,4]=>[1,8,3,5,7,6,2,4]=>[8,1,6,4,2,3,7,5]=>0000000
[5,7,3,6,2,8,4,1]=>[1,5,2,7,4,6,8,3]=>[1,5,8,7,2,4,6,3]=>[8,4,1,2,7,5,3,6]=>0000000
[2,1,8,7,4,3,5,6]=>[1,2,3,8,6,4,7,5]=>[1,2,3,6,8,7,5,4]=>[8,7,6,3,1,2,4,5]=>0000000
[5,6,3,1,8,7,4,2]=>[1,5,8,2,6,7,4,3]=>[1,8,4,7,5,2,6,3]=>[8,1,5,2,4,7,3,6]=>0000000
[4,7,3,8,1,2,6,5]=>[1,4,8,5,2,7,6,3]=>[1,5,8,4,6,7,3,2]=>[8,4,1,5,3,2,6,7]=>0000000
[4,8,7,6,3,2,5,1]=>[1,4,6,2,8,3,7,5]=>[1,6,8,4,7,2,3,5]=>[8,3,1,5,2,7,6,4]=>0000000
[7,5,8,3,2,6,1,4]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[8,2,4,1,7,5,6,3]=>0000000
[2,3,7,8,4,1,6,5]=>[1,2,3,7,6,4,8,5]=>[1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>0000000
[2,1,7,5,8,4,6,3]=>[1,2,3,7,6,4,5,8]=>[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>0000000
[8,3,5,6,2,1,4,7]=>[1,8,7,4,6,2,3,5]=>[1,6,2,7,3,4,8,5]=>[8,3,7,2,6,5,1,4]=>0000000
[4,1,8,2,3,7,6,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[5,3,8,7,4,6,1,2]=>[1,5,4,7,2,3,8,6]=>[1,7,2,5,4,8,3,6]=>[8,2,7,4,5,1,6,3]=>0000000
[3,2,5,7,4,8,1,6]=>[1,3,5,4,7,2,6,8]=>[1,7,3,5,4,2,6,8]=>[8,2,6,4,5,7,3,1]=>0000000
[8,4,7,2,1,3,5,6]=>[1,8,6,3,7,5,2,4]=>[1,5,7,3,6,8,2,4]=>[8,4,2,6,3,1,7,5]=>0000000
[1,4,2,8,6,5,7,3]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>0000000
[4,2,1,5,6,7,8,3]=>[1,4,5,6,7,8,3,2]=>[1,3,8,4,5,6,7,2]=>[8,6,1,5,4,3,2,7]=>0000000
[8,3,4,1,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000
[3,2,5,7,4,6,1,8]=>[1,3,5,4,7,2,6,8]=>[1,7,3,5,4,2,6,8]=>[8,2,6,4,5,7,3,1]=>0000000
[5,1,3,7,2,4,6,8]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000
[3,2,1,5,7,4,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[3,7,5,1,2,4,6,8]=>[1,3,5,2,7,6,4,8]=>[1,5,3,6,2,7,4,8]=>[8,4,6,3,7,2,5,1]=>0000000
[1,3,7,2,5,4,6,8]=>[1,2,3,7,6,4,5,8]=>[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>0000000
[5,3,1,7,2,4,6,8]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000
[1,3,7,5,2,4,6,8]=>[1,2,3,7,6,4,5,8]=>[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>0000000
[5,8,7,1,2,6,4,3]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>0000000
[1,8,7,6,3,2,5,4]=>[1,2,8,4,6,3,7,5]=>[1,2,6,8,7,4,3,5]=>[8,7,3,1,2,5,6,4]=>0000000
[5,8,7,4,1,2,6,3]=>[1,5,2,8,3,7,6,4]=>[1,5,8,6,2,7,3,4]=>[8,4,1,3,7,2,6,5]=>0000000
[2,8,7,4,3,6,1,5]=>[1,2,8,5,3,7,4,6]=>[1,2,5,8,7,3,4,6]=>[8,7,4,1,2,6,5,3]=>0000000
[7,6,2,8,3,1,4,5]=>[1,7,4,8,5,3,2,6]=>[1,3,5,8,7,4,2,6]=>[8,6,4,1,2,5,7,3]=>0000000
[5,3,4,8,2,7,6,1]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[5,3,8,2,4,1,7,6]=>[1,5,4,2,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>[8,5,7,4,6,1,3,2]=>0000000
[5,2,8,4,1,7,3,6]=>[1,5,2,3,8,6,7,4]=>[1,5,2,7,3,8,6,4]=>[8,4,7,2,6,1,3,5]=>0000000
[6,3,5,4,8,2,7,1]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>[8,3,7,1,6,4,5,2]=>0000000
[3,5,6,1,4,8,7,2]=>[1,3,6,8,2,5,4,7]=>[1,8,3,5,2,6,4,7]=>[8,1,6,4,7,3,5,2]=>0000000
[3,6,5,7,4,8,1,2]=>[1,3,5,4,7,2,6,8]=>[1,7,3,5,4,2,6,8]=>[8,2,6,4,5,7,3,1]=>0000000
[1,8,6,3,7,4,2,5]=>[1,2,8,5,7,3,6,4]=>[1,2,7,6,8,3,5,4]=>[8,7,2,3,1,6,4,5]=>0000000
[1,3,7,2,6,5,8,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000
[1,5,7,2,4,6,8,3]=>[1,2,5,4,3,7,8,6]=>[1,2,4,5,3,8,7,6]=>[8,7,5,4,6,1,2,3]=>0000000
[3,5,2,7,4,1,8,6]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>0000000
[1,5,3,7,6,8,4,2]=>[1,2,5,6,8,3,4,7]=>[1,2,8,3,5,6,4,7]=>[8,7,1,6,4,3,5,2]=>0000000
[1,6,3,7,8,2,4,5]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>0000000
[2,4,5,8,1,6,7,3]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>0000000
[2,1,8,3,6,7,4,5]=>[1,2,3,8,5,6,7,4]=>[1,2,3,7,8,5,6,4]=>[8,7,6,2,1,4,3,5]=>0000000
[5,1,8,6,2,7,3,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>0000000
[5,7,1,4,2,6,3,8]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[5,7,4,2,8,1,6,3]=>[1,5,8,3,4,2,7,6]=>[1,4,8,3,5,7,2,6]=>[8,5,1,6,4,2,7,3]=>0000000
[6,3,7,2,8,1,5,4]=>[1,6,2,3,7,5,8,4]=>[1,6,2,8,7,3,5,4]=>[8,3,7,1,2,6,4,5]=>0000000
[7,5,2,8,6,1,4,3]=>[1,7,4,8,3,2,5,6]=>[1,3,8,7,2,5,4,6]=>[8,6,1,2,7,4,5,3]=>0000000
[6,3,1,8,2,7,4,5]=>[1,6,7,4,8,5,2,3]=>[1,5,2,8,7,6,3,4]=>[8,4,7,1,2,3,6,5]=>0000000
[6,1,3,4,2,8,5,7]=>[1,6,8,7,5,2,3,4]=>[1,5,2,3,7,6,8,4]=>[8,4,7,6,2,3,1,5]=>0000000
[8,1,4,3,5,7,6,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000
[1,8,3,2,6,7,5,4]=>[1,2,8,4,3,5,6,7]=>[1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>0000000
[3,5,7,4,8,1,2,6]=>[1,3,7,2,5,8,6,4]=>[1,7,3,6,2,8,5,4]=>[8,2,6,3,7,1,4,5]=>0000000
[4,6,1,7,5,8,2,3]=>[1,4,7,2,6,8,3,5]=>[1,7,8,4,3,2,6,5]=>[8,2,1,5,6,7,3,4]=>0000000
[2,3,6,7,5,8,1,4]=>[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,4,5]=>[8,7,6,1,2,3,5,4]=>0000000
[8,2,5,3,7,1,6,4]=>[1,8,4,3,5,7,6,2]=>[1,6,4,7,2,8,5,3]=>[8,3,5,2,7,1,4,6]=>0000000
[1,5,8,7,4,6,2,3]=>[1,2,5,4,7,3,8,6]=>[1,2,7,5,4,8,3,6]=>[8,7,2,4,5,1,6,3]=>0000000
[8,1,5,6,3,2,4,7]=>[1,8,7,4,6,2,3,5]=>[1,6,2,7,3,4,8,5]=>[8,3,7,2,6,5,1,4]=>0000000
[1,2,6,7,8,4,3,5]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>0000000
[2,3,6,4,1,7,8,5]=>[1,2,3,6,7,8,5,4]=>[1,2,3,5,8,6,7,4]=>[8,7,6,4,1,3,2,5]=>0000000
[4,7,2,1,5,3,8,6]=>[1,4,2,7,8,6,3,5]=>[1,4,6,2,3,8,7,5]=>[8,5,3,7,6,1,2,4]=>0000000
[4,3,7,2,6,8,1,5]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000
[8,7,1,2,4,5,6,3]=>[1,8,3,2,7,6,5,4]=>[1,3,8,5,6,7,2,4]=>[8,6,1,4,3,2,7,5]=>0000000
[8,7,2,5,3,1,6,4]=>[1,8,4,5,3,2,7,6]=>[1,3,5,8,4,7,2,6]=>[8,6,4,1,5,2,7,3]=>0000000
[6,7,8,1,5,4,3,2]=>[1,6,4,2,7,3,8,5]=>[1,4,6,7,8,3,2,5]=>[8,5,3,2,1,6,7,4]=>0000000
[8,5,6,7,1,4,3,2]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[8,1,4,3,7,6,5,2]=>0000000
[8,7,6,3,5,4,1,2]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>0000000
[8,7,6,5,2,4,3,1]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>0000000
[1,5,8,7,6,2,4,3]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>[8,7,3,1,4,6,5,2]=>0000000
[7,3,8,4,6,1,5,2]=>[1,7,5,6,2,3,8,4]=>[1,6,2,8,7,5,3,4]=>[8,3,7,1,2,4,6,5]=>0000000
[4,8,7,6,3,1,5,2]=>[1,4,6,2,8,3,7,5]=>[1,6,8,4,7,2,3,5]=>[8,3,1,5,2,7,6,4]=>0000000
[5,8,7,6,2,4,1,3]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>0000000
[6,8,2,7,5,1,4,3]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[8,3,1,6,2,7,5,4]=>0000000
[5,8,7,2,6,4,1,3]=>[1,5,6,4,2,8,3,7]=>[1,4,6,8,5,3,2,7]=>[8,5,3,1,4,6,7,2]=>0000000
[2,3,6,1,7,5,8,4]=>[1,2,3,6,5,7,8,4]=>[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>0000000
[2,3,6,1,8,5,4,7]=>[1,2,3,6,5,8,7,4]=>[1,2,3,7,6,5,8,4]=>[8,7,6,2,3,4,1,5]=>0000000
[2,4,5,7,3,8,6,1]=>[1,2,4,7,6,8,3,5]=>[1,2,8,4,3,7,6,5]=>[8,7,1,5,6,2,3,4]=>0000000
[2,4,6,3,1,8,5,7]=>[1,2,4,3,6,8,7,5]=>[1,2,4,3,7,6,8,5]=>[8,7,5,6,2,3,1,4]=>0000000
[2,4,7,3,1,8,6,5]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>0000000
[2,5,1,6,4,8,3,7]=>[1,2,5,4,6,8,7,3]=>[1,2,7,5,4,6,8,3]=>[8,7,2,4,5,3,1,6]=>0000000
[2,5,6,3,7,4,8,1]=>[1,2,5,7,8,3,6,4]=>[1,2,8,6,5,3,7,4]=>[8,7,1,3,4,6,2,5]=>0000000
[2,5,6,3,8,4,1,7]=>[1,2,5,8,7,3,6,4]=>[1,2,7,6,5,3,8,4]=>[8,7,2,3,4,6,1,5]=>0000000
[2,6,1,7,4,8,5,3]=>[1,2,6,8,3,4,7,5]=>[1,2,8,3,7,6,4,5]=>[8,7,1,6,2,3,5,4]=>0000000
[6,8,4,7,5,2,3,1]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[8,3,1,6,2,7,5,4]=>0000000
[6,8,4,7,2,5,3,1]=>[1,6,5,2,8,3,4,7]=>[1,5,6,2,8,3,4,7]=>[8,4,3,7,1,6,5,2]=>0000000
[6,4,8,7,5,2,3,1]=>[1,6,2,4,7,3,8,5]=>[1,6,7,2,8,4,3,5]=>[8,3,2,7,1,5,6,4]=>0000000
[6,8,4,7,2,1,5,3]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[8,3,1,6,2,7,5,4]=>0000000
[6,4,2,8,7,5,3,1]=>[1,6,5,7,3,2,4,8]=>[1,3,7,2,6,5,4,8]=>[8,6,2,7,3,4,5,1]=>0000000
[6,8,4,7,3,2,5,1]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[8,3,1,6,2,7,5,4]=>0000000
[6,8,4,2,1,7,5,3]=>[1,6,7,5,2,8,3,4]=>[1,5,7,2,8,6,3,4]=>[8,4,2,7,1,3,6,5]=>0000000
[1,8,7,3,6,2,5,4]=>[1,2,8,4,3,7,5,6]=>[1,2,4,8,7,5,3,6]=>[8,7,5,1,2,4,6,3]=>0000000
[6,8,2,7,5,4,1,3]=>[1,6,4,7,2,8,3,5]=>[1,7,8,6,3,4,2,5]=>[8,2,1,3,6,5,7,4]=>0000000
[6,8,1,7,3,5,4,2]=>[1,6,5,3,2,8,4,7]=>[1,3,5,6,8,4,2,7]=>[8,6,4,3,1,5,7,2]=>0000000
[6,8,4,7,3,1,5,2]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[8,3,1,6,2,7,5,4]=>0000000
[6,8,5,4,2,7,1,3]=>[1,6,7,2,8,3,5,4]=>[1,7,8,5,3,6,2,4]=>[8,2,1,4,6,3,7,5]=>0000000
[6,8,1,4,2,7,5,3]=>[1,6,7,5,2,8,3,4]=>[1,5,7,2,8,6,3,4]=>[8,4,2,7,1,3,6,5]=>0000000
[6,5,4,3,8,7,1,2]=>[1,6,7,2,5,8,3,4]=>[1,7,8,3,2,6,5,4]=>[8,2,1,6,7,3,4,5]=>0000000
[3,1,6,7,4,8,5,2]=>[1,3,6,8,2,4,7,5]=>[1,8,3,2,7,6,4,5]=>[8,1,6,7,2,3,5,4]=>0000000
[8,4,7,6,2,5,1,3]=>[1,8,3,7,2,4,6,5]=>[1,7,8,2,6,4,3,5]=>[8,2,1,7,3,5,6,4]=>0000000
[7,3,8,6,2,4,1,5]=>[1,7,2,3,8,5,4,6]=>[1,7,2,5,8,4,3,6]=>[8,2,7,4,1,5,6,3]=>0000000
[4,8,7,2,5,6,1,3]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[8,5,1,7,2,4,6,3]=>0000000
[7,5,2,6,8,4,1,3]=>[1,7,2,5,8,3,4,6]=>[1,7,8,3,2,4,5,6]=>[8,2,1,6,7,5,4,3]=>0000000
[6,4,2,7,5,8,1,3]=>[1,6,8,3,2,4,7,5]=>[1,3,8,2,7,6,4,5]=>[8,6,1,7,2,3,5,4]=>0000000
[7,1,8,3,6,2,5,4]=>[1,7,5,6,2,3,8,4]=>[1,6,2,8,7,5,3,4]=>[8,3,7,1,2,4,6,5]=>0000000
[2,8,3,4,5,1,6,7]=>[1,2,8,7,6,3,4,5]=>[1,2,6,3,4,7,8,5]=>[8,7,3,6,5,2,1,4]=>0000000
[3,8,1,4,5,6,7,2]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>0000000
[5,7,3,4,1,6,8,2]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[8,4,1,6,7,5,2,3]=>0000000
[8,1,2,4,5,6,7,3]=>[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>0000000
[4,1,3,8,5,6,7,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>0000000
[7,5,2,3,8,6,4,1]=>[1,7,4,3,2,5,8,6]=>[1,3,4,7,2,8,5,6]=>[8,6,5,2,7,1,4,3]=>0000000
[8,4,1,7,3,5,6,2]=>[1,8,2,4,7,6,5,3]=>[1,8,5,2,6,7,4,3]=>[8,1,4,7,3,2,5,6]=>0000000
[7,4,1,2,6,8,5,3]=>[1,7,5,6,8,3,2,4]=>[1,3,8,2,7,5,6,4]=>[8,6,1,7,2,4,3,5]=>0000000
[5,3,8,4,1,2,6,7]=>[1,5,2,3,8,7,6,4]=>[1,5,2,6,3,7,8,4]=>[8,4,7,3,6,2,1,5]=>0000000
[7,3,5,6,8,4,1,2]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>0000000
[8,5,1,7,4,6,2,3]=>[1,8,3,2,5,4,7,6]=>[1,3,8,5,2,7,4,6]=>[8,6,1,4,7,2,5,3]=>0000000
[4,2,7,5,8,6,3,1]=>[1,4,5,8,2,3,7,6]=>[1,8,2,4,5,7,3,6]=>[8,1,7,5,4,2,6,3]=>0000000
[7,3,4,5,8,6,1,2]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>0000000
[6,4,8,5,2,3,1,7]=>[1,6,3,8,7,2,4,5]=>[1,7,6,2,4,3,8,5]=>[8,2,3,7,5,6,1,4]=>0000000
[7,2,8,3,4,5,6,1]=>[1,7,6,5,4,3,8,2]=>[1,8,4,5,6,7,3,2]=>[8,1,5,4,3,2,6,7]=>0000000
[7,5,8,6,2,3,1,4]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[8,2,4,1,7,5,6,3]=>0000000
[7,3,5,1,8,2,4,6]=>[1,7,4,2,3,5,8,6]=>[1,4,2,7,3,8,5,6]=>[8,5,7,2,6,1,4,3]=>0000000
[7,8,3,1,5,2,4,6]=>[1,7,4,2,8,6,3,5]=>[1,4,7,6,2,8,3,5]=>[8,5,2,3,7,1,6,4]=>0000000
[2,6,3,7,8,1,4,5]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>0000000
[3,4,8,1,5,6,7,2]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>0000000
[4,1,5,6,8,3,7,2]=>[1,4,6,3,5,8,2,7]=>[1,8,6,4,3,5,2,7]=>[8,1,3,5,6,4,7,2]=>0000000
[4,1,5,7,8,6,3,2]=>[1,4,7,3,5,8,2,6]=>[1,8,7,4,3,2,5,6]=>[8,1,2,5,6,7,4,3]=>0000000
[4,1,7,3,5,8,6,2]=>[1,4,3,7,6,8,2,5]=>[1,8,4,3,2,7,6,5]=>[8,1,5,6,7,2,3,4]=>0000000
[4,5,8,3,1,6,7,2]=>[1,4,3,8,2,5,6,7]=>[1,8,4,3,2,5,6,7]=>[8,1,5,6,7,4,3,2]=>0000000
[4,6,7,8,5,1,3,2]=>[1,4,8,2,6,3,7,5]=>[1,8,6,4,7,2,3,5]=>[8,1,3,5,2,7,6,4]=>0000000
[5,7,3,4,1,8,6,2]=>[1,5,2,7,6,8,3,4]=>[1,5,8,3,2,7,6,4]=>[8,4,1,6,7,2,3,5]=>0000000
[5,7,3,8,4,6,1,2]=>[1,5,4,8,2,7,3,6]=>[1,8,7,5,4,3,2,6]=>[8,1,2,4,5,6,7,3]=>0000000
[7,1,3,4,8,6,5,2]=>[1,7,5,8,2,3,4,6]=>[1,8,2,3,7,4,5,6]=>[8,1,7,6,2,5,4,3]=>0000000
[2,5,8,6,1,7,3,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[5,6,8,7,2,3,1,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[8,4,3,1,7,6,5,2]=>0000000
[1,2,7,3,8,6,5,4]=>[1,2,3,7,5,8,4,6]=>[1,2,3,8,7,4,5,6]=>[8,7,6,1,2,5,4,3]=>0000000
[2,8,7,6,3,1,4,5]=>[1,2,8,5,3,7,4,6]=>[1,2,5,8,7,3,4,6]=>[8,7,4,1,2,6,5,3]=>0000000
[8,7,2,5,3,1,4,6]=>[1,8,6,2,7,4,5,3]=>[1,6,5,8,2,7,4,3]=>[8,3,4,1,7,2,5,6]=>0000000
[1,2,3,8,4,7,6,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[1,4,8,2,6,3,7,5]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[4,8,7,2,1,6,5,3]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[8,5,1,7,2,4,6,3]=>0000000
[5,4,8,1,6,3,7,2]=>[1,5,6,3,8,2,4,7]=>[1,8,6,2,5,3,4,7]=>[8,1,3,7,4,6,5,2]=>0000000
[2,1,7,4,8,3,6,5]=>[1,2,3,7,6,4,5,8]=>[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>0000000
[5,1,4,8,2,7,3,6]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[1,2,5,7,8,6,3,4]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[8,7,6,1,4,2,5,3]=>0000000
[2,1,3,7,4,8,6,5]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>0000000
[1,3,2,7,8,5,4,6]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>0000000
[5,3,1,8,7,2,4,6]=>[1,5,7,4,8,6,2,3]=>[1,6,2,8,5,7,3,4]=>[8,3,7,1,4,2,6,5]=>0000000
[1,2,3,8,5,7,4,6]=>[1,2,3,4,8,6,7,5]=>[1,2,3,4,7,8,6,5]=>[8,7,6,5,2,1,3,4]=>0000000
[6,1,7,2,5,8,3,4]=>[1,6,8,4,2,3,7,5]=>[1,4,2,8,7,6,3,5]=>[8,5,7,1,2,3,6,4]=>0000000
[4,5,1,8,7,2,3,6]=>[1,4,8,6,2,5,7,3]=>[1,6,8,4,3,7,5,2]=>[8,3,1,5,6,2,4,7]=>0000000
[1,4,2,8,5,3,7,6]=>[1,2,4,8,6,3,5,7]=>[1,2,6,4,3,8,5,7]=>[8,7,3,5,6,1,4,2]=>0000000
[4,3,8,1,6,2,7,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[4,2,6,1,5,8,3,7]=>[1,4,2,3,6,8,7,5]=>[1,4,2,3,7,6,8,5]=>[8,5,7,6,2,3,1,4]=>0000000
[7,2,4,5,8,3,6,1]=>[1,7,6,3,4,5,8,2]=>[1,8,6,3,4,7,5,2]=>[8,1,3,6,5,2,4,7]=>0000000
[2,4,7,8,6,1,5,3]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[8,7,1,5,2,4,6,3]=>0000000
[4,2,7,1,5,6,8,3]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[8,5,7,6,1,4,2,3]=>0000000
[8,1,4,3,2,5,6,7]=>[1,8,7,6,5,2,3,4]=>[1,5,2,3,6,7,8,4]=>[8,4,7,6,3,2,1,5]=>0000000
[1,6,3,2,4,5,7,8]=>[1,2,6,5,4,3,7,8]=>[1,2,4,5,6,3,7,8]=>[8,7,5,4,3,6,2,1]=>0000000
[1,3,8,4,2,5,6,7]=>[1,2,3,8,7,6,5,4]=>[1,2,3,5,6,7,8,4]=>[8,7,6,4,3,2,1,5]=>0000000
[5,1,8,2,4,3,6,7]=>[1,5,4,2,3,8,7,6]=>[1,4,2,5,3,7,8,6]=>[8,5,7,4,6,2,1,3]=>0000000
[8,2,3,1,5,6,7,4]=>[1,8,4,2,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>0000000
[1,3,8,2,6,4,5,7]=>[1,2,3,8,7,5,6,4]=>[1,2,3,6,7,5,8,4]=>[8,7,6,3,2,4,1,5]=>0000000
[5,4,1,2,3,8,6,7]=>[1,5,3,2,4,6,8,7]=>[1,3,5,2,4,6,8,7]=>[8,6,4,7,5,3,1,2]=>0000000
[3,6,2,7,8,5,1,4]=>[1,3,2,6,5,8,4,7]=>[1,3,2,8,6,5,4,7]=>[8,6,7,1,3,4,5,2]=>0000000
[3,7,8,4,1,6,5,2]=>[1,3,8,2,7,5,4,6]=>[1,8,3,5,7,4,2,6]=>[8,1,6,4,2,5,7,3]=>0000000
[3,8,2,4,1,6,7,5]=>[1,3,2,8,5,4,6,7]=>[1,3,2,5,8,4,6,7]=>[8,6,7,4,1,5,3,2]=>0000000
[3,8,2,1,5,6,7,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>0000000
[8,1,5,4,3,6,7,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[8,1,7,4,6,5,3,2]=>0000000
[8,1,4,5,3,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000
[4,7,2,3,5,1,6,8]=>[1,4,3,2,7,6,5,8]=>[1,3,4,2,6,7,5,8]=>[8,6,5,7,3,2,4,1]=>0000000
[5,7,2,3,4,6,8,1]=>[1,5,4,3,2,7,8,6]=>[1,3,4,5,2,8,7,6]=>[8,6,5,4,7,1,2,3]=>0000000
[2,3,6,5,1,8,7,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000
[2,6,7,8,5,3,1,4]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>0000000
[3,2,5,7,8,1,6,4]=>[1,3,5,8,4,7,6,2]=>[1,6,3,7,5,8,2,4]=>[8,3,6,2,4,1,7,5]=>0000000
[5,7,1,6,2,8,4,3]=>[1,5,2,7,4,6,8,3]=>[1,5,8,7,2,4,6,3]=>[8,4,1,2,7,5,3,6]=>0000000
[4,7,1,3,8,2,6,5]=>[1,4,3,2,7,6,5,8]=>[1,3,4,2,6,7,5,8]=>[8,6,5,7,3,2,4,1]=>0000000
[7,4,1,5,8,2,6,3]=>[1,7,6,2,4,5,8,3]=>[1,6,7,3,4,8,5,2]=>[8,3,2,6,5,1,4,7]=>0000000
[7,3,5,1,8,2,6,4]=>[1,7,6,2,3,5,8,4]=>[1,6,2,7,4,8,5,3]=>[8,3,7,2,5,1,4,6]=>0000000
[4,8,1,3,5,6,7,2]=>[1,4,3,2,8,5,6,7]=>[1,3,4,2,8,5,6,7]=>[8,6,5,7,1,4,3,2]=>0000000
[2,1,8,3,7,5,6,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>0000000
[5,6,8,3,1,2,7,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[8,4,3,1,7,6,5,2]=>0000000
[1,5,8,3,2,6,7,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[1,6,7,8,5,2,3,4]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>0000000
[1,6,7,8,4,2,3,5]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>0000000
[1,8,3,4,2,6,7,5]=>[1,2,8,5,3,4,6,7]=>[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>0000000
[6,2,7,8,4,1,3,5]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>0000000
[4,5,7,1,8,6,2,3]=>[1,4,2,5,8,3,7,6]=>[1,4,8,2,5,7,3,6]=>[8,5,1,7,4,2,6,3]=>0000000
[4,7,2,8,5,6,1,3]=>[1,4,8,3,2,7,5,6]=>[1,3,8,4,7,5,2,6]=>[8,6,1,5,2,4,7,3]=>0000000
[4,8,2,1,5,6,7,3]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>0000000
[1,2,8,4,5,3,7,6]=>[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>0000000
[1,2,3,7,8,5,4,6]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>0000000
[6,2,1,7,8,5,4,3]=>[1,6,5,8,3,2,4,7]=>[1,3,8,2,6,5,4,7]=>[8,6,1,7,3,4,5,2]=>0000000
[7,1,3,2,8,4,5,6]=>[1,7,5,8,6,4,2,3]=>[1,4,2,6,8,7,3,5]=>[8,5,7,3,1,2,6,4]=>0000000
[8,1,2,3,7,5,4,6]=>[1,8,6,5,7,4,3,2]=>[1,3,4,7,6,8,5,2]=>[8,6,5,2,3,1,4,7]=>0000000
[4,1,7,2,5,8,3,6]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000
[8,1,6,3,4,7,2,5]=>[1,8,5,4,3,6,7,2]=>[1,7,4,5,8,3,6,2]=>[8,2,5,4,1,6,3,7]=>0000000
[8,1,7,3,2,5,6,4]=>[1,8,4,3,7,6,5,2]=>[1,5,4,6,7,8,3,2]=>[8,4,5,3,2,1,6,7]=>0000000
[4,1,8,2,5,6,7,3]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[8,5,7,3,1,2,6,4]=>[1,8,4,3,7,6,2,5]=>[1,6,4,7,3,8,2,5]=>[8,3,5,2,6,1,7,4]=>0000000
[2,3,7,1,6,8,5,4]=>[1,2,3,7,5,6,8,4]=>[1,2,3,8,7,5,6,4]=>[8,7,6,1,2,4,3,5]=>0000000
[2,3,6,1,8,4,7,5]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>0000000
[8,1,5,6,7,4,3,2]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[8,1,7,2,6,5,4,3]=>0000000
[1,5,2,6,7,8,4,3]=>[1,2,5,7,4,6,8,3]=>[1,2,8,7,5,4,6,3]=>[8,7,1,2,4,5,3,6]=>0000000
[4,5,2,7,8,6,1,3]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,3,5,6]=>[8,2,1,5,7,6,4,3]=>0000000
[3,5,2,7,4,6,8,1]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>0000000
[1,8,7,6,3,4,5,2]=>[1,2,8,3,7,5,4,6]=>[1,2,8,5,7,4,3,6]=>[8,7,1,4,2,5,6,3]=>0000000
[2,3,4,8,1,6,7,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[2,1,7,5,3,8,6,4]=>[1,2,3,7,6,8,4,5]=>[1,2,3,8,4,7,6,5]=>[8,7,6,1,5,2,3,4]=>0000000
[2,1,8,7,5,3,6,4]=>[1,2,3,8,4,7,6,5]=>[1,2,3,8,6,7,4,5]=>[8,7,6,1,3,2,5,4]=>0000000
[5,2,3,4,1,8,6,7]=>[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>0000000
[7,5,8,6,3,2,1,4]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[8,2,4,1,7,5,6,3]=>0000000
[6,4,2,1,8,5,3,7]=>[1,6,5,8,7,3,2,4]=>[1,3,7,2,6,5,8,4]=>[8,6,2,7,3,4,1,5]=>0000000
[5,3,8,7,4,2,1,6]=>[1,5,4,7,2,3,8,6]=>[1,7,2,5,4,8,3,6]=>[8,2,7,4,5,1,6,3]=>0000000
[7,4,2,1,6,8,5,3]=>[1,7,5,6,8,3,2,4]=>[1,3,8,2,7,5,6,4]=>[8,6,1,7,2,4,3,5]=>0000000
[5,3,8,4,2,1,6,7]=>[1,5,2,3,8,7,6,4]=>[1,5,2,6,3,7,8,4]=>[8,4,7,3,6,2,1,5]=>0000000
[6,4,8,7,5,2,1,3]=>[1,6,2,4,7,3,8,5]=>[1,6,7,2,8,4,3,5]=>[8,3,2,7,1,5,6,4]=>0000000
[8,5,2,1,7,4,6,3]=>[1,8,3,2,5,7,6,4]=>[1,3,8,6,2,7,5,4]=>[8,6,1,3,7,2,4,5]=>0000000
[7,3,4,5,8,6,2,1]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>0000000
[7,3,8,4,5,6,2,1]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[8,2,7,1,5,4,6,3]=>0000000
[1,8,7,2,6,5,4,3]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[8,7,1,2,5,4,6,3]=>0000000
[1,8,7,6,2,3,4,5]=>[1,2,8,5,3,7,4,6]=>[1,2,5,8,7,3,4,6]=>[8,7,4,1,2,6,5,3]=>0000000
[1,8,2,5,6,7,4,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[7,1,6,2,3,8,4,5]=>[1,7,4,2,3,6,8,5]=>[1,4,2,7,8,3,6,5]=>[8,5,7,2,1,6,3,4]=>0000000
[1,8,5,2,3,7,4,6]=>[1,2,8,6,7,4,3,5]=>[1,2,4,7,3,8,6,5]=>[8,7,5,2,6,1,3,4]=>0000000
[7,3,1,2,8,4,5,6]=>[1,7,5,8,6,4,2,3]=>[1,4,2,6,8,7,3,5]=>[8,5,7,3,1,2,6,4]=>0000000
[5,3,6,1,2,4,8,7]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>0000000
[5,4,1,6,2,7,8,3]=>[1,5,2,4,6,7,8,3]=>[1,5,8,2,4,6,7,3]=>[8,4,1,7,5,3,2,6]=>0000000
[1,2,3,7,8,6,4,5]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>0000000
[1,4,8,2,3,7,6,5]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[1,2,8,3,5,7,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[3,4,8,1,2,6,7,5]=>[1,3,8,5,2,4,6,7]=>[1,5,3,2,8,4,6,7]=>[8,4,6,7,1,5,3,2]=>0000000
[8,2,7,3,1,5,6,4]=>[1,8,4,3,7,6,5,2]=>[1,5,4,6,7,8,3,2]=>[8,4,5,3,2,1,6,7]=>0000000
[7,2,1,8,4,5,6,3]=>[1,7,6,5,4,8,3,2]=>[1,3,8,5,6,7,4,2]=>[8,6,1,4,3,2,5,7]=>0000000
[4,2,7,1,3,8,6,5]=>[1,4,2,3,7,6,8,5]=>[1,4,2,3,8,7,6,5]=>[8,5,7,6,1,2,3,4]=>0000000
[8,2,6,3,4,7,1,5]=>[1,8,5,4,3,6,7,2]=>[1,7,4,5,8,3,6,2]=>[8,2,5,4,1,6,3,7]=>0000000
[7,2,3,4,1,8,6,5]=>[1,7,6,8,5,2,3,4]=>[1,5,2,3,8,7,6,4]=>[8,4,7,6,1,2,3,5]=>0000000
[5,2,1,3,6,7,8,4]=>[1,5,6,7,8,4,3,2]=>[1,3,4,8,5,6,7,2]=>[8,6,5,1,4,3,2,7]=>0000000
[6,4,8,7,3,2,1,5]=>[1,6,2,4,7,3,8,5]=>[1,6,7,2,8,4,3,5]=>[8,3,2,7,1,5,6,4]=>0000000
[5,4,8,7,3,2,1,6]=>[1,5,3,8,6,2,4,7]=>[1,6,5,2,3,8,4,7]=>[8,3,4,7,6,1,5,2]=>0000000
[6,4,3,8,7,2,1,5]=>[1,6,2,4,8,5,7,3]=>[1,6,7,2,8,4,5,3]=>[8,3,2,7,1,5,4,6]=>0000000
[6,7,8,1,5,4,2,3]=>[1,6,4,2,7,3,8,5]=>[1,4,6,7,8,3,2,5]=>[8,5,3,2,1,6,7,4]=>0000000
[7,2,3,8,1,6,5,4]=>[1,7,5,2,3,4,8,6]=>[1,5,2,3,7,8,4,6]=>[8,4,7,6,2,1,5,3]=>0000000
[7,2,8,4,5,1,6,3]=>[1,7,6,2,3,8,4,5]=>[1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>0000000
[7,8,3,4,1,6,5,2]=>[1,7,5,2,8,3,4,6]=>[1,5,7,2,8,4,3,6]=>[8,4,2,7,1,5,6,3]=>0000000
[4,7,3,8,5,1,6,2]=>[1,4,8,2,7,6,3,5]=>[1,8,6,4,3,7,2,5]=>[8,1,3,5,6,2,7,4]=>0000000
[4,7,3,8,1,6,5,2]=>[1,4,8,2,7,5,3,6]=>[1,8,5,4,7,3,2,6]=>[8,1,4,5,2,6,7,3]=>0000000
[7,1,2,5,3,6,8,4]=>[1,7,8,4,5,3,2,6]=>[1,3,5,8,4,2,7,6]=>[8,6,4,1,5,7,2,3]=>0000000
[3,1,7,5,8,2,4,6]=>[1,3,7,4,5,8,6,2]=>[1,6,3,8,2,7,5,4]=>[8,3,6,1,7,2,4,5]=>0000000
[6,3,5,1,8,2,4,7]=>[1,6,2,3,5,8,7,4]=>[1,6,2,7,3,5,8,4]=>[8,3,7,2,6,4,1,5]=>0000000
[1,7,4,2,3,6,8,5]=>[1,2,7,8,5,3,4,6]=>[1,2,5,3,8,4,7,6]=>[8,7,4,6,1,5,2,3]=>0000000
[1,2,7,3,8,4,6,5]=>[1,2,3,7,6,4,5,8]=>[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>0000000
[7,1,3,4,5,8,2,6]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[1,8,7,6,3,2,4,5]=>[1,2,8,5,3,7,4,6]=>[1,2,5,8,7,3,4,6]=>[8,7,4,1,2,6,5,3]=>0000000
[3,2,1,8,4,7,6,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>0000000
[4,6,2,8,5,3,7,1]=>[1,4,8,2,6,3,5,7]=>[1,8,6,4,3,2,5,7]=>[8,1,3,5,6,7,4,2]=>0000000
[4,6,2,7,1,8,5,3]=>[1,4,7,5,2,6,8,3]=>[1,5,7,4,8,3,6,2]=>[8,4,2,5,1,6,3,7]=>0000000
[6,3,7,4,5,2,8,1]=>[1,6,2,3,7,8,4,5]=>[1,6,2,8,4,3,7,5]=>[8,3,7,1,5,6,2,4]=>0000000
[2,4,8,7,6,5,1,3]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]=>[8,7,2,5,1,4,6,3]=>0000000
[2,6,4,7,8,3,1,5]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>0000000
[2,4,6,1,5,8,3,7]=>[1,2,4,3,6,8,7,5]=>[1,2,4,3,7,6,8,5]=>[8,7,5,6,2,3,1,4]=>0000000
[3,5,1,7,2,6,8,4]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>0000000
[5,3,4,7,2,8,1,6]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000
[4,5,7,2,1,6,8,3]=>[1,4,2,5,3,7,8,6]=>[1,4,5,2,3,8,7,6]=>[8,5,4,7,6,1,2,3]=>0000000
[4,5,8,2,1,6,7,3]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[8,5,4,7,6,1,3,2]=>0000000
[7,3,4,5,8,2,1,6]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>0000000
[4,7,8,5,6,2,1,3]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>0000000
[3,5,1,4,8,7,2,6]=>[1,3,2,5,8,6,7,4]=>[1,3,2,7,5,8,6,4]=>[8,6,7,2,4,1,3,5]=>0000000
[4,1,8,7,2,6,3,5]=>[1,4,7,3,8,5,2,6]=>[1,5,8,4,7,3,2,6]=>[8,4,1,5,2,6,7,3]=>0000000
[5,2,7,6,8,3,4,1]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[8,1,7,2,4,5,6,3]=>0000000
[4,2,5,7,3,1,8,6]=>[1,4,7,8,6,2,3,5]=>[1,6,2,4,3,8,7,5]=>[8,3,7,5,6,1,2,4]=>0000000
[8,2,1,7,3,5,4,6]=>[1,8,6,5,3,2,4,7]=>[1,3,5,2,6,8,4,7]=>[8,6,4,7,3,1,5,2]=>0000000
[5,2,3,8,7,1,4,6]=>[1,5,7,4,8,6,2,3]=>[1,6,2,8,5,7,3,4]=>[8,3,7,1,4,2,6,5]=>0000000
[8,1,2,7,5,4,3,6]=>[1,8,6,4,7,3,2,5]=>[1,3,7,6,2,8,4,5]=>[8,6,2,3,7,1,5,4]=>0000000
[6,1,2,8,3,7,4,5]=>[1,6,7,4,8,5,3,2]=>[1,3,5,8,7,6,2,4]=>[8,6,4,1,2,3,7,5]=>0000000
[7,1,6,8,5,2,3,4]=>[1,7,3,6,2,4,8,5]=>[1,6,7,2,8,3,4,5]=>[8,3,2,7,1,6,5,4]=>0000000
[8,1,7,3,5,2,6,4]=>[1,8,4,3,7,6,2,5]=>[1,6,4,7,3,8,2,5]=>[8,3,5,2,6,1,7,4]=>0000000
[3,8,6,1,4,7,2,5]=>[1,3,6,7,2,8,5,4]=>[1,7,3,5,8,6,2,4]=>[8,2,6,4,1,3,7,5]=>0000000
[3,8,7,1,2,5,6,4]=>[1,3,7,6,5,2,8,4]=>[1,5,3,6,7,8,2,4]=>[8,4,6,3,2,1,7,5]=>0000000
[3,4,8,2,5,6,7,1]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>0000000
[2,1,8,5,6,7,3,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[8,3,2,5,6,7,1,4]=>[1,8,4,5,6,7,2,3]=>[1,7,2,8,4,5,6,3]=>[8,2,7,1,5,4,3,6]=>0000000
[4,8,5,2,6,7,3,1]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>0000000
[2,5,8,6,7,3,1,4]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[8,7,2,1,4,5,6,3]=>0000000
[8,7,4,3,6,1,5,2]=>[1,8,2,7,5,6,3,4]=>[1,8,6,3,7,5,2,4]=>[8,1,3,6,2,4,7,5]=>0000000
[6,8,2,7,3,5,4,1]=>[1,6,5,3,2,8,4,7]=>[1,3,5,6,8,4,2,7]=>[8,6,4,3,1,5,7,2]=>0000000
[7,5,8,3,2,4,6,1]=>[1,7,6,4,3,8,2,5]=>[1,8,4,6,2,7,3,5]=>[8,1,5,3,7,2,6,4]=>0000000
[8,6,7,3,4,1,5,2]=>[1,8,2,6,3,7,5,4]=>[1,8,6,5,7,2,3,4]=>[8,1,3,4,2,7,6,5]=>0000000
[8,3,2,7,6,4,1,5]=>[1,8,5,6,4,7,2,3]=>[1,7,2,6,8,5,4,3]=>[8,2,7,3,1,4,5,6]=>0000000
[2,6,7,3,1,4,5,8]=>[1,2,6,4,3,7,5,8]=>[1,2,4,6,7,3,5,8]=>[8,7,5,3,2,6,4,1]=>0000000
[2,6,4,3,1,8,5,7]=>[1,2,6,8,7,5,3,4]=>[1,2,5,3,7,6,8,4]=>[8,7,4,6,2,3,1,5]=>0000000
[1,4,7,8,5,2,3,6]=>[1,2,4,8,6,3,7,5]=>[1,2,6,4,8,7,5,3]=>[8,7,3,5,1,2,4,6]=>0000000
[1,3,2,6,5,8,4,7]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>0000000
[7,1,4,5,8,3,6,2]=>[1,7,6,3,4,5,8,2]=>[1,8,6,3,4,7,5,2]=>[8,1,3,6,5,2,4,7]=>0000000
[4,2,6,7,5,1,8,3]=>[1,4,7,8,3,6,2,5]=>[1,6,8,4,2,3,7,5]=>[8,3,1,5,7,6,2,4]=>0000000
[1,8,5,6,7,3,4,2]=>[1,2,8,3,5,7,4,6]=>[1,2,8,7,3,4,5,6]=>[8,7,1,2,6,5,4,3]=>0000000
[3,4,8,7,6,1,5,2]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[8,1,6,7,2,4,5,3]=>0000000
[4,3,7,5,8,6,2,1]=>[1,4,5,8,2,3,7,6]=>[1,8,2,4,5,7,3,6]=>[8,1,7,5,4,2,6,3]=>0000000
[2,1,7,6,8,4,5,3]=>[1,2,3,7,5,8,4,6]=>[1,2,3,8,7,4,5,6]=>[8,7,6,1,2,5,4,3]=>0000000
[2,1,8,5,3,7,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[2,1,8,6,7,5,4,3]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>0000000
[4,3,8,1,6,7,2,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[4,3,8,1,6,5,7,2]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[4,3,8,2,5,6,7,1]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[3,2,8,1,6,7,4,5]=>[1,3,8,5,6,7,4,2]=>[1,4,3,7,8,5,6,2]=>[8,5,6,2,1,4,3,7]=>0000000
[7,2,8,1,6,3,5,4]=>[1,7,5,6,3,8,4,2]=>[1,4,8,6,7,5,2,3]=>[8,5,1,3,2,4,7,6]=>0000000
[7,3,8,1,4,5,6,2]=>[1,7,6,5,4,2,3,8]=>[1,4,2,5,6,7,3,8]=>[8,5,7,4,3,2,6,1]=>0000000
[7,2,8,1,6,5,4,3]=>[1,7,4,2,3,8,5,6]=>[1,4,2,7,8,5,3,6]=>[8,5,7,2,1,4,6,3]=>0000000
[8,1,3,4,6,5,2,7]=>[1,8,7,2,3,4,5,6]=>[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>0000000
[8,6,5,7,2,1,4,3]=>[1,8,3,5,2,6,4,7]=>[1,5,8,6,3,2,4,7]=>[8,4,1,3,6,7,5,2]=>0000000
[2,4,7,8,5,6,3,1]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[8,7,1,5,2,4,6,3]=>0000000
[2,8,1,3,5,6,7,4]=>[1,2,8,4,3,5,6,7]=>[1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>0000000
[2,4,8,7,5,6,3,1]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]=>[8,7,2,5,1,4,6,3]=>0000000
[1,8,7,3,4,6,5,2]=>[1,2,8,3,7,5,4,6]=>[1,2,8,5,7,4,3,6]=>[8,7,1,4,2,5,6,3]=>0000000
[2,8,1,4,5,7,6,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[1,2,7,6,8,4,5,3]=>[1,2,3,7,5,8,4,6]=>[1,2,3,8,7,4,5,6]=>[8,7,6,1,2,5,4,3]=>0000000
[1,2,6,7,8,3,5,4]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>0000000
[1,2,5,3,7,6,8,4]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[8,7,6,1,4,5,2,3]=>0000000
[1,2,4,8,3,6,5,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[4,1,3,7,6,8,5,2]=>[1,4,7,5,6,8,2,3]=>[1,8,2,4,7,5,6,3]=>[8,1,7,5,2,4,3,6]=>0000000
[6,5,7,8,1,4,3,2]=>[1,6,4,8,2,5,3,7]=>[1,8,5,6,2,4,3,7]=>[8,1,4,3,7,5,6,2]=>0000000
[3,4,8,1,5,7,6,2]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>0000000
[4,5,6,2,7,3,8,1]=>[1,4,2,5,7,8,3,6]=>[1,4,8,2,5,3,7,6]=>[8,5,1,7,4,6,2,3]=>0000000
[3,5,8,7,4,6,2,1]=>[1,3,8,2,5,4,7,6]=>[1,8,3,5,2,7,4,6]=>[8,1,6,4,7,2,5,3]=>0000000
[6,4,2,7,8,5,3,1]=>[1,6,5,8,2,4,7,3]=>[1,8,7,2,6,5,4,3]=>[8,1,2,7,3,4,5,6]=>0000000
[2,4,5,8,6,7,1,3]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>0000000
[1,3,5,6,8,7,2,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>0000000
[5,2,4,1,6,7,8,3]=>[1,5,6,7,8,3,4,2]=>[1,4,8,3,5,6,7,2]=>[8,5,1,6,4,3,2,7]=>0000000
[8,5,6,7,2,4,3,1]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[8,1,4,3,7,6,5,2]=>0000000
[8,1,4,3,6,5,2,7]=>[1,8,7,2,3,4,5,6]=>[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>0000000
[2,8,6,3,4,7,1,5]=>[1,2,8,5,4,3,6,7]=>[1,2,4,5,8,3,6,7]=>[8,7,5,4,1,6,3,2]=>0000000
[8,1,2,3,6,7,5,4]=>[1,8,4,3,2,5,6,7]=>[1,3,4,8,2,5,6,7]=>[8,6,5,1,7,4,3,2]=>0000000
[5,4,2,1,3,8,7,6]=>[1,5,3,2,4,6,8,7]=>[1,3,5,2,4,6,8,7]=>[8,6,4,7,5,3,1,2]=>0000000
[5,2,8,1,4,3,7,6]=>[1,5,4,2,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>[8,5,7,4,6,1,3,2]=>0000000
[5,8,7,3,2,4,6,1]=>[1,5,2,8,3,7,6,4]=>[1,5,8,6,2,7,3,4]=>[8,4,1,3,7,2,6,5]=>0000000
[7,6,2,8,3,5,4,1]=>[1,7,4,8,2,6,5,3]=>[1,8,5,6,7,2,3,4]=>[8,1,4,3,2,7,6,5]=>0000000
[8,4,7,3,1,5,2,6]=>[1,8,6,5,2,4,3,7]=>[1,5,4,2,6,8,3,7]=>[8,4,5,7,3,1,6,2]=>0000000
[6,3,5,7,8,2,4,1]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>[8,3,7,1,6,4,5,2]=>0000000
[4,6,8,7,5,2,3,1]=>[1,4,7,3,8,2,6,5]=>[1,8,7,4,6,2,3,5]=>[8,1,2,5,3,7,6,4]=>0000000
[1,6,8,4,7,5,3,2]=>[1,2,6,5,7,3,8,4]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>0000000
[8,4,6,7,5,2,3,1]=>[1,8,2,4,7,3,6,5]=>[1,8,7,2,6,3,4,5]=>[8,1,2,7,3,6,5,4]=>0000000
[4,3,7,2,6,1,8,5]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[8,5,7,6,1,4,2,3]=>0000000
[2,3,7,4,6,1,8,5]=>[1,2,3,7,8,5,6,4]=>[1,2,3,6,8,5,7,4]=>[8,7,6,3,1,4,2,5]=>0000000
[2,1,7,4,6,3,8,5]=>[1,2,3,7,8,5,6,4]=>[1,2,3,6,8,5,7,4]=>[8,7,6,3,1,4,2,5]=>0000000
[5,2,7,4,6,1,8,3]=>[1,5,6,2,3,7,8,4]=>[1,6,2,8,5,3,7,4]=>[8,3,7,1,4,6,2,5]=>0000000
[4,3,7,5,8,6,1,2]=>[1,4,5,8,2,3,7,6]=>[1,8,2,4,5,7,3,6]=>[8,1,7,5,4,2,6,3]=>0000000
[6,7,4,8,3,5,2,1]=>[1,6,5,3,4,8,2,7]=>[1,8,5,3,6,4,2,7]=>[8,1,4,6,3,5,7,2]=>0000000
[6,4,3,8,7,2,5,1]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>0000000
[7,5,3,6,8,4,2,1]=>[1,7,2,5,8,3,4,6]=>[1,7,8,3,2,4,5,6]=>[8,2,1,6,7,5,4,3]=>0000000
[1,6,8,3,2,4,7,5]=>[1,2,6,4,3,8,5,7]=>[1,2,4,6,8,3,5,7]=>[8,7,5,3,1,6,4,2]=>0000000
[1,8,7,6,3,4,2,5]=>[1,2,8,5,3,7,4,6]=>[1,2,5,8,7,3,4,6]=>[8,7,4,1,2,6,5,3]=>0000000
[5,6,7,8,3,1,4,2]=>[1,5,3,7,4,8,2,6]=>[1,8,5,7,3,2,4,6]=>[8,1,4,2,6,7,5,3]=>0000000
[2,1,6,7,8,4,5,3]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>0000000
[2,1,6,7,8,4,3,5]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>0000000
[3,4,2,1,7,8,5,6]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[2,1,6,7,8,3,5,4]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>0000000
[3,6,1,7,8,5,2,4]=>[1,3,2,6,5,8,4,7]=>[1,3,2,8,6,5,4,7]=>[8,6,7,1,3,4,5,2]=>0000000
[2,1,6,7,8,5,3,4]=>[1,2,3,6,5,8,4,7]=>[1,2,3,8,6,5,4,7]=>[8,7,6,1,3,4,5,2]=>0000000
[5,7,4,1,2,8,3,6]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[4,8,5,1,2,7,3,6]=>[1,4,2,8,6,7,3,5]=>[1,4,7,2,3,8,6,5]=>[8,5,2,7,6,1,3,4]=>0000000
[4,5,8,1,2,7,3,6]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[8,5,4,7,6,1,3,2]=>0000000
[5,6,8,7,1,2,3,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[8,4,3,1,7,6,5,2]=>0000000
[5,4,3,7,8,6,1,2]=>[1,5,8,2,4,7,3,6]=>[1,8,7,2,5,3,4,6]=>[8,1,2,7,4,6,5,3]=>0000000
[5,3,2,6,1,8,7,4]=>[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>0000000
[5,3,2,6,1,8,4,7]=>[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>0000000
[7,8,3,2,1,5,6,4]=>[1,7,6,5,2,8,4,3]=>[1,5,4,6,7,8,2,3]=>[8,4,5,3,2,1,7,6]=>0000000
[5,3,2,8,1,6,7,4]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[5,3,2,7,1,8,6,4]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000
[5,3,2,7,1,6,4,8]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000
[6,3,7,2,1,8,5,4]=>[1,6,8,4,2,3,7,5]=>[1,4,2,8,7,6,3,5]=>[8,5,7,1,2,3,6,4]=>0000000
[6,3,7,2,1,4,8,5]=>[1,6,4,2,3,7,8,5]=>[1,4,2,6,8,3,7,5]=>[8,5,7,3,1,6,2,4]=>0000000
[7,8,4,2,6,1,3,5]=>[1,7,3,4,2,8,5,6]=>[1,4,7,3,8,5,2,6]=>[8,5,2,6,1,4,7,3]=>0000000
[6,3,8,2,1,7,4,5]=>[1,6,7,4,2,3,8,5]=>[1,4,2,7,8,6,3,5]=>[8,5,7,2,1,3,6,4]=>0000000
[5,3,2,8,1,7,4,6]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[5,3,2,8,1,4,7,6]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[7,8,4,1,6,2,5,3]=>[1,7,5,6,2,8,3,4]=>[1,6,8,3,7,5,2,4]=>[8,3,1,6,2,4,7,5]=>0000000
[6,1,8,3,2,7,5,4]=>[1,6,7,5,2,3,8,4]=>[1,5,2,7,8,6,4,3]=>[8,4,7,2,1,3,5,6]=>0000000
[7,8,2,1,3,6,5,4]=>[1,7,5,3,2,8,4,6]=>[1,3,5,7,8,2,4,6]=>[8,6,4,2,1,7,5,3]=>0000000
[7,8,1,2,3,6,5,4]=>[1,7,5,3,2,8,4,6]=>[1,3,5,7,8,2,4,6]=>[8,6,4,2,1,7,5,3]=>0000000
[5,1,2,8,3,7,6,4]=>[1,5,3,2,4,8,6,7]=>[1,3,5,2,4,8,6,7]=>[8,6,4,7,5,1,3,2]=>0000000
[5,2,1,8,3,7,6,4]=>[1,5,3,2,4,8,6,7]=>[1,3,5,2,4,8,6,7]=>[8,6,4,7,5,1,3,2]=>0000000
[3,5,4,8,7,6,1,2]=>[1,3,4,8,2,5,7,6]=>[1,8,3,4,2,7,5,6]=>[8,1,6,5,7,2,4,3]=>0000000
[5,3,4,8,7,6,1,2]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[8,2,7,6,4,1,5,3]=>0000000
[5,2,3,8,1,7,6,4]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[6,3,8,1,2,7,5,4]=>[1,6,7,5,2,3,8,4]=>[1,5,2,7,8,6,4,3]=>[8,4,7,2,1,3,5,6]=>0000000
[5,3,1,8,2,7,6,4]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[5,1,3,8,2,7,6,4]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[5,4,1,8,7,2,6,3]=>[1,5,7,6,2,4,8,3]=>[1,6,7,3,5,8,4,2]=>[8,3,2,6,4,1,5,7]=>0000000
[5,6,8,7,2,1,4,3]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[8,4,3,1,7,6,5,2]=>0000000
[6,2,8,1,4,3,7,5]=>[1,6,3,8,5,4,2,7]=>[1,4,5,8,6,3,2,7]=>[8,5,4,1,3,6,7,2]=>0000000
[7,2,6,1,4,3,8,5]=>[1,7,8,5,4,2,3,6]=>[1,4,2,5,8,3,7,6]=>[8,5,7,4,1,6,2,3]=>0000000
[8,3,7,1,4,2,6,5]=>[1,8,5,4,2,3,7,6]=>[1,4,2,5,8,7,3,6]=>[8,5,7,4,1,2,6,3]=>0000000
[8,3,7,1,5,2,6,4]=>[1,8,4,2,3,7,6,5]=>[1,4,2,8,6,7,3,5]=>[8,5,7,1,3,2,6,4]=>0000000
[7,3,8,1,5,2,6,4]=>[1,7,6,2,3,8,4,5]=>[1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>0000000
[6,2,7,3,8,1,5,4]=>[1,6,2,3,7,5,8,4]=>[1,6,2,8,7,3,5,4]=>[8,3,7,1,2,6,4,5]=>0000000
[5,1,8,3,7,2,6,4]=>[1,5,7,6,2,3,8,4]=>[1,6,2,7,5,8,4,3]=>[8,3,7,2,4,1,5,6]=>0000000
[7,3,8,2,6,1,5,4]=>[1,7,5,6,2,3,8,4]=>[1,6,2,8,7,5,3,4]=>[8,3,7,1,2,4,6,5]=>0000000
[4,5,2,6,3,8,1,7]=>[1,4,6,8,7,2,5,3]=>[1,7,5,4,2,6,8,3]=>[8,2,4,5,7,3,1,6]=>0000000
[4,5,1,6,3,8,2,7]=>[1,4,6,8,7,2,5,3]=>[1,7,5,4,2,6,8,3]=>[8,2,4,5,7,3,1,6]=>0000000
[7,3,5,8,1,4,6,2]=>[1,7,6,4,8,2,3,5]=>[1,8,2,6,3,7,4,5]=>[8,1,7,3,6,2,5,4]=>0000000
[6,7,4,3,8,1,5,2]=>[1,6,2,7,5,8,3,4]=>[1,6,8,3,7,2,5,4]=>[8,3,1,6,2,7,4,5]=>0000000
[6,7,2,8,4,5,1,3]=>[1,6,5,4,8,3,2,7]=>[1,3,8,5,6,4,2,7]=>[8,6,1,4,3,5,7,2]=>0000000
[5,6,7,3,2,1,8,4]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>[8,4,3,1,7,6,2,5]=>0000000
[5,6,7,3,2,8,4,1]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>[8,4,1,2,7,3,6,5]=>0000000
[3,6,7,2,8,4,5,1]=>[1,3,7,5,8,2,6,4]=>[1,8,3,6,7,2,5,4]=>[8,1,6,3,2,7,4,5]=>0000000
[5,6,7,2,1,8,4,3]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>[8,4,1,2,7,3,6,5]=>0000000
[7,5,3,8,2,4,6,1]=>[1,7,6,4,8,2,5,3]=>[1,8,5,6,2,7,4,3]=>[8,1,4,3,7,2,5,6]=>0000000
[8,2,4,5,6,3,1,7]=>[1,8,7,2,3,4,5,6]=>[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>0000000
[8,2,4,5,6,1,3,7]=>[1,8,7,3,4,5,6,2]=>[1,6,7,3,4,5,8,2]=>[8,3,2,6,5,4,1,7]=>0000000
[8,4,1,5,6,3,2,7]=>[1,8,7,2,4,5,6,3]=>[1,7,6,2,4,5,8,3]=>[8,2,3,7,5,4,1,6]=>0000000
[8,1,4,5,6,3,2,7]=>[1,8,7,2,3,4,5,6]=>[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>0000000
[4,2,6,7,8,3,1,5]=>[1,4,7,2,3,6,5,8]=>[1,7,2,4,6,3,5,8]=>[8,2,7,5,3,6,4,1]=>0000000
[6,3,2,7,1,8,5,4]=>[1,6,8,4,7,5,2,3]=>[1,5,2,7,8,6,3,4]=>[8,4,7,2,1,3,6,5]=>0000000
[2,6,4,7,8,1,5,3]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>0000000
[6,2,7,1,3,8,5,4]=>[1,6,8,4,2,3,7,5]=>[1,4,2,8,7,6,3,5]=>[8,5,7,1,2,3,6,4]=>0000000
[6,4,7,8,5,3,1,2]=>[1,6,3,7,2,4,8,5]=>[1,7,6,2,8,3,4,5]=>[8,2,3,7,1,6,5,4]=>0000000
[5,4,1,2,3,8,7,6]=>[1,5,3,2,4,6,8,7]=>[1,3,5,2,4,6,8,7]=>[8,6,4,7,5,3,1,2]=>0000000
[8,4,1,2,7,3,6,5]=>[1,8,5,7,6,3,2,4]=>[1,3,6,2,7,8,4,5]=>[8,6,3,7,2,1,5,4]=>0000000
[8,1,6,7,2,4,5,3]=>[1,8,3,6,4,7,5,2]=>[1,5,7,8,6,4,2,3]=>[8,4,2,1,3,5,7,6]=>0000000
[3,1,8,7,2,4,5,6]=>[1,3,8,6,4,7,5,2]=>[1,5,3,7,6,8,2,4]=>[8,4,6,2,3,1,7,5]=>0000000
[4,8,1,6,2,3,5,7]=>[1,4,6,3,2,8,7,5]=>[1,3,6,4,7,2,8,5]=>[8,6,3,5,2,7,1,4]=>0000000
[5,8,1,2,7,3,6,4]=>[1,5,7,6,3,2,8,4]=>[1,3,6,7,5,8,4,2]=>[8,6,3,2,4,1,5,7]=>0000000
[6,8,7,1,2,3,4,5]=>[1,6,3,7,4,2,8,5]=>[1,4,7,6,8,2,3,5]=>[8,5,2,3,1,7,6,4]=>0000000
[2,6,1,4,5,3,8,7]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[5,8,7,4,2,6,3,1]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>0000000
[2,5,8,4,7,6,1,3]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[8,7,2,1,4,5,6,3]=>0000000
[3,8,4,2,5,6,7,1]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>[8,5,6,7,1,4,3,2]=>0000000
[7,5,8,4,3,6,1,2]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[8,2,4,1,7,5,6,3]=>0000000
[2,1,4,8,3,6,7,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[7,3,8,4,2,6,1,5]=>[1,7,2,3,8,5,4,6]=>[1,7,2,5,8,4,3,6]=>[8,2,7,4,1,5,6,3]=>0000000
[8,3,1,2,5,6,7,4]=>[1,8,4,2,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>0000000
[4,8,2,3,5,6,7,1]=>[1,4,3,2,8,5,6,7]=>[1,3,4,2,8,5,6,7]=>[8,6,5,7,1,4,3,2]=>0000000
[2,1,8,5,3,6,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[4,8,1,2,5,6,7,3]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>0000000
[3,4,2,8,5,6,7,1]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>0000000
[2,4,1,8,5,6,7,3]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>0000000
[8,4,2,1,5,6,7,3]=>[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>0000000
[7,5,2,4,8,6,1,3]=>[1,7,2,5,8,3,4,6]=>[1,7,8,3,2,4,5,6]=>[8,2,1,6,7,5,4,3]=>0000000
[2,1,5,3,8,6,7,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>0000000
[2,5,7,4,8,6,3,1]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[8,7,1,2,4,5,6,3]=>0000000
[5,7,6,2,3,4,1,8]=>[1,5,3,6,4,2,7,8]=>[1,4,6,5,2,3,7,8]=>[8,5,3,4,7,6,2,1]=>0000000
[7,1,5,2,8,3,4,6]=>[1,7,4,2,3,5,8,6]=>[1,4,2,7,3,8,5,6]=>[8,5,7,2,6,1,4,3]=>0000000
[1,8,5,2,7,3,4,6]=>[1,2,8,6,3,5,7,4]=>[1,2,6,8,4,7,5,3]=>[8,7,3,1,5,2,4,6]=>0000000
[3,2,1,7,8,4,5,6]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[8,6,7,5,2,1,4,3]=>0000000
[3,2,8,7,1,4,5,6]=>[1,3,8,6,4,7,5,2]=>[1,5,3,7,6,8,2,4]=>[8,4,6,2,3,1,7,5]=>0000000
[1,7,6,8,2,3,4,5]=>[1,2,7,4,8,5,3,6]=>[1,2,5,8,7,4,3,6]=>[8,7,4,1,2,5,6,3]=>0000000
[3,2,5,4,1,8,6,7]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]=>[8,4,6,7,5,3,1,2]=>0000000
[1,4,2,8,7,3,5,6]=>[1,2,4,8,6,3,5,7]=>[1,2,6,4,3,8,5,7]=>[8,7,3,5,6,1,4,2]=>0000000
[8,5,1,2,7,3,4,6]=>[1,8,6,3,2,5,7,4]=>[1,3,6,8,4,7,5,2]=>[8,6,3,1,5,2,4,7]=>0000000
[4,7,2,1,8,3,5,6]=>[1,4,2,7,5,8,6,3]=>[1,4,6,2,8,7,3,5]=>[8,5,3,7,1,2,6,4]=>0000000
[8,6,1,7,2,3,4,5]=>[1,8,5,2,6,3,4,7]=>[1,5,8,2,6,3,4,7]=>[8,4,1,7,3,6,5,2]=>0000000
[4,8,2,1,7,3,5,6]=>[1,4,2,8,6,3,5,7]=>[1,4,6,2,3,8,5,7]=>[8,5,3,7,6,1,4,2]=>0000000
[2,8,4,1,6,5,7,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[2,8,5,6,7,4,3,1]=>[1,2,8,3,5,7,4,6]=>[1,2,8,7,3,4,5,6]=>[8,7,1,2,6,5,4,3]=>0000000
[7,5,8,6,1,4,2,3]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[8,2,4,1,7,5,6,3]=>0000000
[2,8,5,3,6,1,7,4]=>[1,2,8,4,3,5,6,7]=>[1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>0000000
[2,8,5,6,7,4,1,3]=>[1,2,8,3,5,7,4,6]=>[1,2,8,7,3,4,5,6]=>[8,7,1,2,6,5,4,3]=>0000000
[2,8,5,3,4,7,1,6]=>[1,2,8,6,7,3,5,4]=>[1,2,7,5,3,8,6,4]=>[8,7,2,4,6,1,3,5]=>0000000
[3,5,6,2,1,8,7,4]=>[1,3,6,8,4,2,5,7]=>[1,4,3,8,2,6,5,7]=>[8,5,6,1,7,3,4,2]=>0000000
[5,1,2,8,6,4,7,3]=>[1,5,6,4,8,3,2,7]=>[1,3,8,6,5,4,2,7]=>[8,6,1,3,4,5,7,2]=>0000000
[5,1,6,8,7,3,4,2]=>[1,5,7,4,8,2,3,6]=>[1,8,2,7,5,3,4,6]=>[8,1,7,2,4,6,5,3]=>0000000
[3,1,4,8,6,5,2,7]=>[1,3,4,8,7,2,5,6]=>[1,7,3,4,2,5,8,6]=>[8,2,6,5,7,4,1,3]=>0000000
[4,1,6,7,8,3,2,5]=>[1,4,7,2,3,6,5,8]=>[1,7,2,4,6,3,5,8]=>[8,2,7,5,3,6,4,1]=>0000000
[8,5,3,6,1,7,2,4]=>[1,8,4,6,7,2,5,3]=>[1,7,5,8,2,4,6,3]=>[8,2,4,1,7,5,3,6]=>0000000
[8,3,6,2,4,7,1,5]=>[1,8,5,4,2,3,6,7]=>[1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>0000000
[6,3,7,4,1,2,8,5]=>[1,6,2,3,7,8,5,4]=>[1,6,2,5,8,3,7,4]=>[8,3,7,4,1,6,2,5]=>0000000
[5,7,2,6,1,8,3,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[5,8,2,6,3,7,1,4]=>[1,5,3,2,8,4,6,7]=>[1,3,5,8,2,4,6,7]=>[8,6,4,1,7,5,3,2]=>0000000
[3,8,6,2,4,7,1,5]=>[1,3,6,7,2,8,5,4]=>[1,7,3,5,8,6,2,4]=>[8,2,6,4,1,3,7,5]=>0000000
[7,3,8,5,6,1,2,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[8,2,7,1,5,4,6,3]=>0000000
[5,4,7,3,8,1,2,6]=>[1,5,8,6,2,4,3,7]=>[1,6,4,2,5,8,3,7]=>[8,3,5,7,4,1,6,2]=>0000000
[5,4,1,7,8,2,3,6]=>[1,5,8,6,2,4,7,3]=>[1,6,8,3,5,7,4,2]=>[8,3,1,6,4,2,5,7]=>0000000
[6,3,7,8,5,1,2,4]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>0000000
[6,8,4,7,5,1,2,3]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[8,3,1,6,2,7,5,4]=>0000000
[2,8,7,6,1,3,4,5]=>[1,2,8,5,3,7,4,6]=>[1,2,5,8,7,3,4,6]=>[8,7,4,1,2,6,5,3]=>0000000
[6,7,1,4,5,8,2,3]=>[1,6,8,3,2,7,4,5]=>[1,3,8,7,4,6,2,5]=>[8,6,1,2,5,3,7,4]=>0000000
[2,1,7,8,5,3,6,4]=>[1,2,3,7,6,4,8,5]=>[1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>0000000
[8,7,1,4,2,6,5,3]=>[1,8,3,2,7,5,4,6]=>[1,3,8,5,7,4,2,6]=>[8,6,1,4,2,5,7,3]=>0000000
[7,5,3,6,2,4,8,1]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[8,1,4,6,7,5,2,3]=>0000000
[6,3,2,5,1,8,4,7]=>[1,6,8,7,4,5,2,3]=>[1,5,2,7,4,6,8,3]=>[8,4,7,2,5,3,1,6]=>0000000
[8,5,3,6,2,7,1,4]=>[1,8,4,6,7,2,5,3]=>[1,7,5,8,2,4,6,3]=>[8,2,4,1,7,5,3,6]=>0000000
[8,5,2,1,7,3,4,6]=>[1,8,6,3,2,5,7,4]=>[1,3,6,8,4,7,5,2]=>[8,6,3,1,5,2,4,7]=>0000000
[7,5,2,1,8,3,4,6]=>[1,7,4,2,5,8,6,3]=>[1,4,7,6,3,8,5,2]=>[8,5,2,3,6,1,4,7]=>0000000
[4,1,7,5,8,2,3,6]=>[1,4,5,8,6,2,3,7]=>[1,6,2,4,5,8,3,7]=>[8,3,7,5,4,1,6,2]=>0000000
[8,1,2,7,3,4,5,6]=>[1,8,6,4,7,5,3,2]=>[1,3,5,7,6,8,2,4]=>[8,6,4,2,3,1,7,5]=>0000000
[8,2,6,1,7,3,4,5]=>[1,8,5,7,4,2,3,6]=>[1,4,2,7,8,3,5,6]=>[8,5,7,2,1,6,4,3]=>0000000
[5,4,7,8,2,6,1,3]=>[1,5,2,4,8,3,7,6]=>[1,5,8,2,4,7,3,6]=>[8,4,1,7,5,2,6,3]=>0000000
[2,3,8,7,1,4,5,6]=>[1,2,3,8,6,4,7,5]=>[1,2,3,6,8,7,5,4]=>[8,7,6,3,1,2,4,5]=>0000000
[2,1,8,7,3,4,5,6]=>[1,2,3,8,6,4,7,5]=>[1,2,3,6,8,7,5,4]=>[8,7,6,3,1,2,4,5]=>0000000
[1,2,8,7,3,4,5,6]=>[1,2,3,8,6,4,7,5]=>[1,2,3,6,8,7,5,4]=>[8,7,6,3,1,2,4,5]=>0000000
[1,3,8,7,2,4,5,6]=>[1,2,3,8,6,4,7,5]=>[1,2,3,6,8,7,5,4]=>[8,7,6,3,1,2,4,5]=>0000000
[1,7,8,3,6,2,4,5]=>[1,2,7,4,3,8,5,6]=>[1,2,4,7,8,5,3,6]=>[8,7,5,2,1,4,6,3]=>0000000
[7,8,6,2,5,1,3,4]=>[1,7,3,6,2,8,4,5]=>[1,6,7,8,4,3,2,5]=>[8,3,2,1,5,6,7,4]=>0000000
[8,1,4,3,2,6,5,7]=>[1,8,7,5,2,3,4,6]=>[1,5,2,3,7,4,8,6]=>[8,4,7,6,2,5,1,3]=>0000000
[6,4,3,8,2,7,5,1]=>[1,6,7,5,2,4,8,3]=>[1,5,7,3,8,6,4,2]=>[8,4,2,6,1,3,5,7]=>0000000
[7,5,1,3,8,2,4,6]=>[1,7,4,3,2,5,8,6]=>[1,3,4,7,2,8,5,6]=>[8,6,5,2,7,1,4,3]=>0000000
[7,5,8,4,1,6,2,3]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[8,2,4,1,7,5,6,3]=>0000000
[4,6,3,8,5,1,2,7]=>[1,4,8,7,2,6,3,5]=>[1,7,6,4,3,2,8,5]=>[8,2,3,5,6,7,1,4]=>0000000
[5,6,8,3,4,1,2,7]=>[1,5,4,3,8,7,2,6]=>[1,7,4,5,3,2,8,6]=>[8,2,5,4,6,7,1,3]=>0000000
[5,6,8,3,4,1,7,2]=>[1,5,4,3,8,2,6,7]=>[1,8,4,5,3,2,6,7]=>[8,1,5,4,6,7,3,2]=>0000000
[5,6,8,4,2,1,7,3]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[8,4,3,1,7,6,5,2]=>0000000
[5,6,8,4,2,1,3,7]=>[1,5,2,6,3,8,7,4]=>[1,5,6,7,2,3,8,4]=>[8,4,3,2,7,6,1,5]=>0000000
[6,7,8,1,5,3,2,4]=>[1,6,3,8,4,2,7,5]=>[1,4,8,6,7,2,3,5]=>[8,5,1,3,2,7,6,4]=>0000000
[4,7,2,8,1,6,3,5]=>[1,4,8,5,2,7,3,6]=>[1,5,8,4,7,2,3,6]=>[8,4,1,5,2,7,6,3]=>0000000
[4,7,2,8,1,6,5,3]=>[1,4,8,3,2,7,5,6]=>[1,3,8,4,7,5,2,6]=>[8,6,1,5,2,4,7,3]=>0000000
[6,7,8,1,3,5,4,2]=>[1,6,5,3,8,2,7,4]=>[1,8,5,6,7,4,2,3]=>[8,1,4,3,2,5,7,6]=>0000000
[6,7,8,1,5,3,4,2]=>[1,6,3,8,2,7,4,5]=>[1,8,6,7,4,3,2,5]=>[8,1,3,2,5,6,7,4]=>0000000
[5,6,8,3,2,1,7,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[8,4,3,1,7,6,5,2]=>0000000
[4,7,3,8,1,6,2,5]=>[1,4,8,5,2,7,3,6]=>[1,5,8,4,7,2,3,6]=>[8,4,1,5,2,7,6,3]=>0000000
[4,7,3,8,1,5,6,2]=>[1,4,8,2,7,6,5,3]=>[1,8,5,4,6,7,2,3]=>[8,1,4,5,3,2,7,6]=>0000000
[5,6,8,3,2,1,4,7]=>[1,5,2,6,3,8,7,4]=>[1,5,6,7,2,3,8,4]=>[8,4,3,2,7,6,1,5]=>0000000
[6,7,8,1,3,4,2,5]=>[1,6,4,2,7,3,8,5]=>[1,4,6,7,8,3,2,5]=>[8,5,3,2,1,6,7,4]=>0000000
[6,7,8,1,2,5,3,4]=>[1,6,5,2,7,3,8,4]=>[1,5,6,7,8,3,4,2]=>[8,4,3,2,1,6,5,7]=>0000000
[3,2,7,8,1,4,6,5]=>[1,3,7,6,4,8,5,2]=>[1,5,3,8,6,7,2,4]=>[8,4,6,1,3,2,7,5]=>0000000
[6,7,8,1,2,4,3,5]=>[1,6,4,2,7,3,8,5]=>[1,4,6,7,8,3,2,5]=>[8,5,3,2,1,6,7,4]=>0000000
[6,7,8,1,2,3,5,4]=>[1,6,3,8,4,2,7,5]=>[1,4,8,6,7,2,3,5]=>[8,5,1,3,2,7,6,4]=>0000000
[8,3,5,1,7,4,6,2]=>[1,8,2,3,5,7,6,4]=>[1,8,2,6,3,7,5,4]=>[8,1,7,3,6,2,4,5]=>0000000
[1,4,6,2,7,5,8,3]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[1,7,5,2,6,8,4,3]=>[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000
[6,8,4,3,1,7,5,2]=>[1,6,7,5,2,8,3,4]=>[1,5,7,2,8,6,3,4]=>[8,4,2,7,1,3,6,5]=>0000000
[8,4,2,1,6,7,5,3]=>[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>0000000
[1,8,4,2,6,7,5,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[1,5,3,2,7,6,8,4]=>[1,2,5,7,8,4,3,6]=>[1,2,4,8,5,3,7,6]=>[8,7,5,1,4,6,2,3]=>0000000
[2,5,3,1,7,6,8,4]=>[1,2,5,7,8,4,3,6]=>[1,2,4,8,5,3,7,6]=>[8,7,5,1,4,6,2,3]=>0000000
[2,7,5,1,6,8,4,3]=>[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000
[8,4,1,2,6,7,5,3]=>[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>0000000
[2,7,6,1,5,8,3,4]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>[8,7,2,1,5,6,3,4]=>0000000
[2,3,5,1,7,6,8,4]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[8,7,6,1,4,5,2,3]=>0000000
[1,7,6,2,5,8,3,4]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>[8,7,2,1,5,6,3,4]=>0000000
[1,5,2,3,7,6,8,4]=>[1,2,5,7,8,4,3,6]=>[1,2,4,8,5,3,7,6]=>[8,7,5,1,4,6,2,3]=>0000000
[2,5,1,3,7,6,8,4]=>[1,2,5,7,8,4,3,6]=>[1,2,4,8,5,3,7,6]=>[8,7,5,1,4,6,2,3]=>0000000
[6,8,2,3,5,7,1,4]=>[1,6,7,2,8,4,3,5]=>[1,7,4,8,3,6,2,5]=>[8,2,5,1,6,3,7,4]=>0000000
[6,8,7,3,5,1,2,4]=>[1,6,2,8,4,3,7,5]=>[1,6,4,8,7,2,3,5]=>[8,3,5,1,2,7,6,4]=>0000000
[1,7,3,4,8,6,5,2]=>[1,2,7,5,8,3,4,6]=>[1,2,8,3,7,4,5,6]=>[8,7,1,6,2,5,4,3]=>0000000
[4,2,7,1,8,6,5,3]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[8,5,7,6,2,1,4,3]=>0000000
[1,6,8,3,7,4,5,2]=>[1,2,6,4,3,8,5,7]=>[1,2,4,6,8,3,5,7]=>[8,7,5,3,1,6,4,2]=>0000000
[8,2,5,6,7,4,1,3]=>[1,8,3,5,7,2,4,6]=>[1,7,8,2,3,4,5,6]=>[8,2,1,7,6,5,4,3]=>0000000
[8,3,1,5,2,7,6,4]=>[1,8,4,5,2,3,6,7]=>[1,5,2,8,4,3,6,7]=>[8,4,7,1,5,6,3,2]=>0000000
[8,5,4,2,1,7,3,6]=>[1,8,6,7,3,4,2,5]=>[1,4,7,3,2,8,6,5]=>[8,5,2,6,7,1,3,4]=>0000000
[8,7,4,1,6,3,5,2]=>[1,8,2,7,5,6,3,4]=>[1,8,6,3,7,5,2,4]=>[8,1,3,6,2,4,7,5]=>0000000
[8,3,2,5,1,7,6,4]=>[1,8,4,5,2,3,6,7]=>[1,5,2,8,4,3,6,7]=>[8,4,7,1,5,6,3,2]=>0000000
[8,5,4,3,1,7,2,6]=>[1,8,6,7,2,5,3,4]=>[1,7,5,3,2,8,6,4]=>[8,2,4,6,7,1,3,5]=>0000000
[8,5,4,1,3,7,2,6]=>[1,8,6,7,2,5,3,4]=>[1,7,5,3,2,8,6,4]=>[8,2,4,6,7,1,3,5]=>0000000
[2,1,8,7,6,4,5,3]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>0000000
[8,3,2,7,6,4,5,1]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[8,7,4,2,6,3,5,1]=>[1,8,2,7,5,6,3,4]=>[1,8,6,3,7,5,2,4]=>[8,1,3,6,2,4,7,5]=>0000000
[8,3,1,7,6,4,2,5]=>[1,8,5,6,4,7,2,3]=>[1,7,2,6,8,5,4,3]=>[8,2,7,3,1,4,5,6]=>0000000
[8,3,1,7,6,4,5,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[8,3,1,5,4,7,6,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000
[8,5,4,2,3,7,1,6]=>[1,8,6,7,2,5,3,4]=>[1,7,5,3,2,8,6,4]=>[8,2,4,6,7,1,3,5]=>0000000
[8,3,2,5,4,7,1,6]=>[1,8,6,7,2,3,4,5]=>[1,7,2,3,4,8,6,5]=>[8,2,7,6,5,1,3,4]=>0000000
[6,2,7,3,4,1,8,5]=>[1,6,2,3,7,8,5,4]=>[1,6,2,5,8,3,7,4]=>[8,3,7,4,1,6,2,5]=>0000000
[4,1,8,6,7,3,5,2]=>[1,4,6,3,8,2,5,7]=>[1,8,6,4,2,3,5,7]=>[8,1,3,5,7,6,4,2]=>0000000
[8,5,6,2,7,3,4,1]=>[1,8,2,5,7,4,3,6]=>[1,8,4,7,2,3,5,6]=>[8,1,5,2,7,6,4,3]=>0000000
[2,1,8,5,7,4,6,3]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>0000000
[7,3,8,4,6,2,5,1]=>[1,7,5,6,2,3,8,4]=>[1,6,2,8,7,5,3,4]=>[8,3,7,1,2,4,6,5]=>0000000
[2,1,8,5,6,3,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[3,1,7,4,8,5,6,2]=>[1,3,7,6,5,8,2,4]=>[1,8,3,2,6,7,5,4]=>[8,1,6,7,3,2,4,5]=>0000000
[2,5,8,7,1,6,3,4]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>[8,7,4,1,6,2,5,3]=>0000000
[2,4,8,7,1,6,3,5]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]=>[8,7,2,5,1,4,6,3]=>0000000
[1,4,8,7,2,6,3,5]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]=>[8,7,2,5,1,4,6,3]=>0000000
[1,5,8,7,2,6,3,4]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>[8,7,4,1,6,2,5,3]=>0000000
[3,1,4,8,7,6,5,2]=>[1,3,4,8,2,5,7,6]=>[1,8,3,4,2,7,5,6]=>[8,1,6,5,7,2,4,3]=>0000000
[1,5,2,6,4,8,3,7]=>[1,2,5,4,6,8,7,3]=>[1,2,7,5,4,6,8,3]=>[8,7,2,4,5,3,1,6]=>0000000
[1,2,5,4,7,3,8,6]=>[1,2,3,5,7,8,6,4]=>[1,2,3,6,5,8,7,4]=>[8,7,6,3,4,1,2,5]=>0000000
[4,1,2,6,3,8,7,5]=>[1,4,6,8,5,3,2,7]=>[1,3,5,4,8,6,2,7]=>[8,6,4,5,1,3,7,2]=>0000000
[1,2,8,6,5,3,7,4]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>0000000
[6,2,1,8,7,3,4,5]=>[1,6,3,2,4,8,5,7]=>[1,3,6,2,8,4,5,7]=>[8,6,3,7,1,5,4,2]=>0000000
[1,2,7,6,5,3,8,4]=>[1,2,3,7,8,4,6,5]=>[1,2,3,8,6,4,7,5]=>[8,7,6,1,3,5,2,4]=>0000000
[1,2,6,5,3,8,7,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000
[3,1,8,6,2,4,7,5]=>[1,3,8,5,2,4,6,7]=>[1,5,3,2,8,4,6,7]=>[8,4,6,7,1,5,3,2]=>0000000
[4,3,7,1,8,2,5,6]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[8,5,7,6,2,1,4,3]=>0000000
[1,7,4,2,8,3,6,5]=>[1,2,7,6,3,4,5,8]=>[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>0000000
[1,4,8,5,2,7,3,6]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>[8,7,4,5,6,1,3,2]=>0000000
[8,5,3,1,7,2,4,6]=>[1,8,6,2,5,7,4,3]=>[1,6,4,8,3,7,5,2]=>[8,3,5,1,6,2,4,7]=>0000000
[8,6,2,1,7,3,4,5]=>[1,8,5,7,4,2,6,3]=>[1,4,7,6,8,3,5,2]=>[8,5,2,3,1,6,4,7]=>0000000
[1,8,6,4,2,7,3,5]=>[1,2,8,5,3,6,7,4]=>[1,2,5,8,7,4,6,3]=>[8,7,4,1,2,5,3,6]=>0000000
[1,2,8,5,3,7,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[1,2,6,3,8,7,5,4]=>[1,2,3,6,7,5,8,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>0000000
[1,7,4,2,8,6,3,5]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>0000000
[7,2,1,8,6,3,4,5]=>[1,7,4,8,5,6,3,2]=>[1,3,6,7,8,5,4,2]=>[8,6,3,2,1,4,5,7]=>0000000
[1,8,7,3,2,6,4,5]=>[1,2,8,5,3,7,4,6]=>[1,2,5,8,7,3,4,6]=>[8,7,4,1,2,6,5,3]=>0000000
[1,4,2,8,7,6,3,5]=>[1,2,4,8,5,7,3,6]=>[1,2,7,4,8,3,5,6]=>[8,7,2,5,1,6,4,3]=>0000000
[1,2,8,7,5,3,6,4]=>[1,2,3,8,4,7,6,5]=>[1,2,3,8,6,7,4,5]=>[8,7,6,1,3,2,5,4]=>0000000
[8,1,7,6,3,4,5,2]=>[1,8,2,3,7,5,4,6]=>[1,8,2,5,7,4,3,6]=>[8,1,7,4,2,5,6,3]=>0000000
[5,7,1,6,2,4,3,8]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[8,1,4,5,3,7,6,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000
[7,1,4,5,3,6,8,2]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[8,1,7,6,5,4,2,3]=>0000000
[2,3,8,5,1,4,7,6]=>[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>0000000
[2,3,8,6,1,5,7,4]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>0000000
[2,8,6,1,7,3,4,5]=>[1,2,8,5,7,4,3,6]=>[1,2,4,7,8,3,5,6]=>[8,7,5,2,1,6,4,3]=>0000000
[1,5,7,4,8,3,6,2]=>[1,2,5,8,3,7,6,4]=>[1,2,8,6,5,7,3,4]=>[8,7,1,3,4,2,6,5]=>0000000
[4,2,1,7,8,5,6,3]=>[1,4,7,6,5,8,3,2]=>[1,3,8,4,6,7,5,2]=>[8,6,1,5,3,2,4,7]=>0000000
[4,1,2,7,8,6,5,3]=>[1,4,7,5,8,3,2,6]=>[1,3,8,4,7,2,5,6]=>[8,6,1,5,2,7,4,3]=>0000000
[6,2,7,8,5,1,4,3]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>0000000
[6,7,8,2,4,3,1,5]=>[1,6,3,8,5,4,2,7]=>[1,4,5,8,6,3,2,7]=>[8,5,4,1,3,6,7,2]=>0000000
[6,1,7,8,5,2,4,3]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>0000000
[1,6,7,8,5,3,4,2]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>0000000
[5,8,1,6,2,7,3,4]=>[1,5,2,8,4,6,7,3]=>[1,5,7,8,2,4,6,3]=>[8,4,2,1,7,5,3,6]=>0000000
[5,8,2,6,1,7,3,4]=>[1,5,2,8,4,6,7,3]=>[1,5,7,8,2,4,6,3]=>[8,4,2,1,7,5,3,6]=>0000000
[1,7,3,6,2,8,4,5]=>[1,2,7,4,6,8,5,3]=>[1,2,5,8,7,3,6,4]=>[8,7,4,1,2,6,3,5]=>0000000
[2,7,3,6,1,8,4,5]=>[1,2,7,4,6,8,5,3]=>[1,2,5,8,7,3,6,4]=>[8,7,4,1,2,6,3,5]=>0000000
[8,6,1,4,3,2,5,7]=>[1,8,7,5,3,2,6,4]=>[1,3,5,7,6,4,8,2]=>[8,6,4,2,3,5,1,7]=>0000000
[5,1,4,7,2,8,3,6]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000
[3,7,5,1,2,8,4,6]=>[1,3,5,2,7,4,6,8]=>[1,5,3,7,2,4,6,8]=>[8,4,6,2,7,5,3,1]=>0000000
[1,4,6,2,8,7,3,5]=>[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>0000000
[3,1,2,7,4,6,8,5]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,5,7,6]=>[8,6,7,5,1,4,2,3]=>0000000
[1,2,3,7,5,8,6,4]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>0000000
[6,7,8,4,2,5,1,3]=>[1,6,5,2,7,3,8,4]=>[1,5,6,7,8,3,4,2]=>[8,4,3,2,1,6,5,7]=>0000000
[8,6,3,7,2,1,4,5]=>[1,8,5,2,6,3,4,7]=>[1,5,8,2,6,3,4,7]=>[8,4,1,7,3,6,5,2]=>0000000
[7,5,4,2,8,6,1,3]=>[1,7,2,5,8,3,4,6]=>[1,7,8,3,2,4,5,6]=>[8,2,1,6,7,5,4,3]=>0000000
[2,6,4,7,3,8,5,1]=>[1,2,6,8,3,4,7,5]=>[1,2,8,3,7,6,4,5]=>[8,7,1,6,2,3,5,4]=>0000000
[3,5,4,2,7,8,1,6]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>0000000
[8,4,3,2,1,5,7,6]=>[1,8,6,5,2,4,3,7]=>[1,5,4,2,6,8,3,7]=>[8,4,5,7,3,1,6,2]=>0000000
[5,3,6,4,1,2,7,8]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>0000000
[3,6,4,1,2,7,5,8]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>0000000
[5,3,6,2,1,4,7,8]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>0000000
[7,3,1,4,6,8,2,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[7,2,1,5,3,6,8,4]=>[1,7,8,4,5,3,2,6]=>[1,3,5,8,4,2,7,6]=>[8,6,4,1,5,7,2,3]=>0000000
[3,6,5,1,2,7,4,8]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>0000000
[3,4,5,1,2,8,7,6]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]=>[8,4,6,7,5,3,1,2]=>0000000
[2,4,8,5,3,1,7,6]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>[8,7,4,5,6,1,3,2]=>0000000
[2,4,8,6,3,7,1,5]=>[1,2,4,6,7,3,8,5]=>[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>0000000
[1,8,4,6,3,7,2,5]=>[1,2,8,5,3,4,6,7]=>[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>0000000
[3,4,6,2,8,7,5,1]=>[1,3,6,7,5,8,2,4]=>[1,8,3,2,7,6,5,4]=>[8,1,6,7,2,3,4,5]=>0000000
[4,5,6,7,2,1,8,3]=>[1,4,7,8,3,6,2,5]=>[1,6,8,4,2,3,7,5]=>[8,3,1,5,7,6,2,4]=>0000000
[2,5,1,6,7,8,4,3]=>[1,2,5,7,4,6,8,3]=>[1,2,8,7,5,4,6,3]=>[8,7,1,2,4,5,3,6]=>0000000
[3,4,6,1,8,7,5,2]=>[1,3,6,7,5,8,2,4]=>[1,8,3,2,7,6,5,4]=>[8,1,6,7,2,3,4,5]=>0000000
[1,8,5,6,7,2,4,3]=>[1,2,8,3,5,7,4,6]=>[1,2,8,7,3,4,5,6]=>[8,7,1,2,6,5,4,3]=>0000000
[4,5,6,7,1,3,8,2]=>[1,4,7,8,2,5,3,6]=>[1,8,5,4,2,3,7,6]=>[8,1,4,5,7,6,2,3]=>0000000
[3,5,6,8,7,4,1,2]=>[1,3,6,4,8,2,5,7]=>[1,8,3,6,2,4,5,7]=>[8,1,6,3,7,5,4,2]=>0000000
[2,5,8,6,7,4,1,3]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[8,7,2,1,4,5,6,3]=>0000000
[1,8,5,6,7,4,2,3]=>[1,2,8,3,5,7,4,6]=>[1,2,8,7,3,4,5,6]=>[8,7,1,2,6,5,4,3]=>0000000
[1,8,5,6,7,4,3,2]=>[1,2,8,3,5,7,4,6]=>[1,2,8,7,3,4,5,6]=>[8,7,1,2,6,5,4,3]=>0000000
[2,5,8,6,7,4,3,1]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[8,7,2,1,4,5,6,3]=>0000000
[4,2,5,6,1,7,8,3]=>[1,4,6,7,8,3,5,2]=>[1,5,8,4,3,6,7,2]=>[8,4,1,5,6,3,2,7]=>0000000
[3,2,5,1,6,8,7,4]=>[1,3,5,6,8,4,2,7]=>[1,4,3,8,5,6,2,7]=>[8,5,6,1,4,3,7,2]=>0000000
[3,2,5,1,6,7,8,4]=>[1,3,5,6,7,8,4,2]=>[1,4,3,8,5,6,7,2]=>[8,5,6,1,4,3,2,7]=>0000000
[3,2,4,1,7,5,6,8]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>0000000
[5,2,6,1,8,3,7,4]=>[1,5,8,4,2,3,6,7]=>[1,4,2,8,5,3,6,7]=>[8,5,7,1,4,6,3,2]=>0000000
[8,5,6,1,7,3,4,2]=>[1,8,2,5,7,4,3,6]=>[1,8,4,7,2,3,5,6]=>[8,1,5,2,7,6,4,3]=>0000000
[8,5,1,6,7,4,2,3]=>[1,8,3,2,5,7,4,6]=>[1,3,8,7,2,4,5,6]=>[8,6,1,2,7,5,4,3]=>0000000
[4,6,3,7,1,8,5,2]=>[1,4,7,5,2,6,8,3]=>[1,5,7,4,8,3,6,2]=>[8,4,2,5,1,6,3,7]=>0000000
[2,5,7,4,1,6,8,3]=>[1,2,5,3,7,8,4,6]=>[1,2,5,8,3,4,7,6]=>[8,7,4,1,6,5,2,3]=>0000000
[6,4,3,8,5,1,7,2]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>0000000
[2,4,1,7,5,8,6,3]=>[1,2,4,7,6,8,3,5]=>[1,2,8,4,3,7,6,5]=>[8,7,1,5,6,2,3,4]=>0000000
[3,2,5,6,1,8,4,7]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]=>[8,4,6,7,5,3,1,2]=>0000000
[3,8,2,5,1,6,7,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>0000000
[4,8,3,2,6,7,1,5]=>[1,4,2,8,5,6,7,3]=>[1,4,7,2,8,5,6,3]=>[8,5,2,7,1,4,3,6]=>0000000
[4,3,8,2,6,7,1,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[4,3,2,6,7,8,1,5]=>[1,4,6,8,5,7,2,3]=>[1,7,2,4,8,6,5,3]=>[8,2,7,5,1,3,4,6]=>0000000
[4,3,7,8,2,6,1,5]=>[1,4,8,5,2,3,7,6]=>[1,5,2,4,8,7,3,6]=>[8,4,7,5,1,2,6,3]=>0000000
[2,5,7,4,8,1,6,3]=>[1,2,5,8,3,7,6,4]=>[1,2,8,6,5,7,3,4]=>[8,7,1,3,4,2,6,5]=>0000000
[6,2,1,8,5,3,7,4]=>[1,6,3,2,4,8,5,7]=>[1,3,6,2,8,4,5,7]=>[8,6,3,7,1,5,4,2]=>0000000
[6,3,2,7,1,4,8,5]=>[1,6,4,7,8,5,2,3]=>[1,5,2,8,6,3,7,4]=>[8,4,7,1,3,6,2,5]=>0000000
[4,8,3,7,2,1,5,6]=>[1,4,7,5,2,8,6,3]=>[1,5,7,4,6,8,3,2]=>[8,4,2,5,3,1,6,7]=>0000000
[4,3,7,2,8,1,5,6]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[8,5,7,6,2,1,4,3]=>0000000
[4,8,3,2,7,1,5,6]=>[1,4,2,8,6,3,5,7]=>[1,4,6,2,3,8,5,7]=>[8,5,3,7,6,1,4,2]=>0000000
[4,3,8,2,1,5,6,7]=>[1,4,2,3,8,7,6,5]=>[1,4,2,3,6,7,8,5]=>[8,5,7,6,3,2,1,4]=>0000000
[8,3,7,2,4,1,6,5]=>[1,8,5,4,2,3,7,6]=>[1,4,2,5,8,7,3,6]=>[8,5,7,4,1,2,6,3]=>0000000
[2,1,8,4,5,3,7,6]=>[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>0000000
[8,2,7,1,4,3,6,5]=>[1,8,5,4,2,3,7,6]=>[1,4,2,5,8,7,3,6]=>[8,5,7,4,1,2,6,3]=>0000000
[8,2,3,1,5,4,7,6]=>[1,8,6,4,2,3,5,7]=>[1,4,2,6,3,8,5,7]=>[8,5,7,3,6,1,4,2]=>0000000
[8,6,7,1,3,2,5,4]=>[1,8,4,2,6,3,7,5]=>[1,4,8,6,7,3,2,5]=>[8,5,1,3,2,6,7,4]=>0000000
[2,1,8,5,7,3,6,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>0000000
[1,5,8,7,3,6,2,4]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>[8,7,4,1,6,2,5,3]=>0000000
[6,3,1,8,4,5,7,2]=>[1,6,5,4,8,2,3,7]=>[1,8,2,5,6,4,3,7]=>[8,1,7,4,3,5,6,2]=>0000000
[3,6,7,8,4,2,5,1]=>[1,3,7,5,4,8,2,6]=>[1,8,3,5,7,2,4,6]=>[8,1,6,4,2,7,5,3]=>0000000
[7,6,1,8,4,2,5,3]=>[1,7,5,4,8,3,2,6]=>[1,3,8,5,7,2,4,6]=>[8,6,1,4,2,7,5,3]=>0000000
[7,2,1,8,4,6,5,3]=>[1,7,5,4,8,3,2,6]=>[1,3,8,5,7,2,4,6]=>[8,6,1,4,2,7,5,3]=>0000000
[3,2,7,8,4,6,5,1]=>[1,3,7,5,4,8,2,6]=>[1,8,3,5,7,2,4,6]=>[8,1,6,4,2,7,5,3]=>0000000
[1,2,7,8,5,4,6,3]=>[1,2,3,7,6,4,8,5]=>[1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>0000000
[7,2,5,8,3,4,6,1]=>[1,7,6,4,8,2,3,5]=>[1,8,2,6,3,7,4,5]=>[8,1,7,3,6,2,5,4]=>0000000
[6,2,8,5,4,3,1,7]=>[1,6,3,8,7,2,4,5]=>[1,7,6,2,4,3,8,5]=>[8,2,3,7,5,6,1,4]=>0000000
[2,8,3,5,4,1,6,7]=>[1,2,8,7,6,3,4,5]=>[1,2,6,3,4,7,8,5]=>[8,7,3,6,5,2,1,4]=>0000000
[2,8,4,5,3,1,6,7]=>[1,2,8,7,6,3,4,5]=>[1,2,6,3,4,7,8,5]=>[8,7,3,6,5,2,1,4]=>0000000
[7,3,5,8,2,4,6,1]=>[1,7,6,4,8,2,3,5]=>[1,8,2,6,3,7,4,5]=>[8,1,7,3,6,2,5,4]=>0000000
[1,7,5,8,3,4,6,2]=>[1,2,7,6,4,8,3,5]=>[1,2,8,6,3,7,4,5]=>[8,7,1,3,6,2,5,4]=>0000000
[5,6,8,4,1,3,2,7]=>[1,5,2,6,3,8,7,4]=>[1,5,6,7,2,3,8,4]=>[8,4,3,2,7,6,1,5]=>0000000
[4,6,8,1,5,3,2,7]=>[1,4,2,6,3,8,7,5]=>[1,4,6,2,7,3,8,5]=>[8,5,3,7,2,6,1,4]=>0000000
[1,6,8,4,5,3,2,7]=>[1,2,6,3,8,7,4,5]=>[1,2,6,7,4,3,8,5]=>[8,7,3,2,5,6,1,4]=>0000000
[1,7,3,8,5,4,6,2]=>[1,2,7,6,4,8,3,5]=>[1,2,8,6,3,7,4,5]=>[8,7,1,3,6,2,5,4]=>0000000
[2,8,7,4,1,6,5,3]=>[1,2,8,3,7,5,4,6]=>[1,2,8,5,7,4,3,6]=>[8,7,1,4,2,5,6,3]=>0000000
[7,3,2,8,5,4,6,1]=>[1,7,6,4,8,2,3,5]=>[1,8,2,6,3,7,4,5]=>[8,1,7,3,6,2,5,4]=>0000000
[6,4,8,2,5,3,1,7]=>[1,6,3,8,7,2,4,5]=>[1,7,6,2,4,3,8,5]=>[8,2,3,7,5,6,1,4]=>0000000
[2,8,4,3,5,1,6,7]=>[1,2,8,7,6,3,4,5]=>[1,2,6,3,4,7,8,5]=>[8,7,3,6,5,2,1,4]=>0000000
[6,2,8,4,5,3,1,7]=>[1,6,3,8,7,2,4,5]=>[1,7,6,2,4,3,8,5]=>[8,2,3,7,5,6,1,4]=>0000000
[7,2,3,8,5,4,6,1]=>[1,7,6,4,8,2,3,5]=>[1,8,2,6,3,7,4,5]=>[8,1,7,3,6,2,5,4]=>0000000
[8,3,5,1,4,7,2,6]=>[1,8,6,7,2,3,5,4]=>[1,7,2,5,3,8,6,4]=>[8,2,7,4,6,1,3,5]=>0000000
[1,2,8,5,7,4,3,6]=>[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>0000000
[2,8,1,4,3,7,6,5]=>[1,2,8,5,3,4,6,7]=>[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>0000000
[1,4,2,7,8,5,3,6]=>[1,2,4,7,3,5,8,6]=>[1,2,7,4,3,8,5,6]=>[8,7,2,5,6,1,4,3]=>0000000
[6,1,2,8,4,3,7,5]=>[1,6,3,2,4,8,5,7]=>[1,3,6,2,8,4,5,7]=>[8,6,3,7,1,5,4,2]=>0000000
[7,1,2,8,4,3,6,5]=>[1,7,6,3,2,4,8,5]=>[1,3,6,2,7,8,5,4]=>[8,6,3,7,2,1,4,5]=>0000000
[1,2,8,4,7,5,3,6]=>[1,2,3,8,6,5,7,4]=>[1,2,3,7,6,8,5,4]=>[8,7,6,2,3,1,4,5]=>0000000
[2,8,1,7,5,3,4,6]=>[1,2,8,6,3,4,7,5]=>[1,2,6,3,8,7,5,4]=>[8,7,3,6,1,2,4,5]=>0000000
[3,7,4,8,1,6,2,5]=>[1,3,4,8,5,2,7,6]=>[1,5,3,4,8,7,2,6]=>[8,4,6,5,1,2,7,3]=>0000000
[6,8,3,4,1,7,2,5]=>[1,6,7,2,8,5,3,4]=>[1,7,5,3,8,6,2,4]=>[8,2,4,6,1,3,7,5]=>0000000
[5,7,3,4,1,8,2,6]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[4,8,3,5,1,7,2,6]=>[1,4,5,2,8,6,7,3]=>[1,5,7,4,2,8,6,3]=>[8,4,2,5,7,1,3,6]=>0000000
[5,6,2,8,3,7,1,4]=>[1,5,3,2,6,7,4,8]=>[1,3,5,7,2,6,4,8]=>[8,6,4,2,7,3,5,1]=>0000000
[6,3,8,4,5,7,2,1]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[8,2,7,1,5,3,6,4]=>0000000
[2,5,8,4,7,6,3,1]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[8,7,2,1,4,5,6,3]=>0000000
[4,3,8,1,5,6,7,2]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[3,8,1,2,5,6,7,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>0000000
[2,8,7,4,5,1,3,6]=>[1,2,8,6,3,7,4,5]=>[1,2,6,8,3,7,4,5]=>[8,7,3,1,6,2,5,4]=>0000000
[8,7,3,5,2,1,4,6]=>[1,8,6,2,7,4,5,3]=>[1,6,5,8,2,7,4,3]=>[8,3,4,1,7,2,5,6]=>0000000
[6,1,8,4,5,7,2,3]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[8,2,7,1,5,3,6,4]=>0000000
[6,8,3,5,1,7,2,4]=>[1,6,7,2,8,4,5,3]=>[1,7,5,8,4,6,2,3]=>[8,2,4,1,5,3,7,6]=>0000000
[8,3,4,7,6,1,5,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[8,2,4,7,1,6,5,3]=>[1,8,3,4,7,5,2,6]=>[1,5,7,2,8,3,4,6]=>[8,4,2,7,1,6,5,3]=>0000000
[8,1,4,7,2,6,5,3]=>[1,8,3,4,7,5,2,6]=>[1,5,7,2,8,3,4,6]=>[8,4,2,7,1,6,5,3]=>0000000
[8,4,2,7,1,6,5,3]=>[1,8,3,2,4,7,5,6]=>[1,3,8,2,7,5,4,6]=>[8,6,1,7,2,4,5,3]=>0000000
[1,5,7,2,8,6,4,3]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[8,7,1,2,4,5,6,3]=>0000000
[2,5,7,1,8,6,4,3]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[8,7,1,2,4,5,6,3]=>0000000
[8,4,1,7,2,6,5,3]=>[1,8,3,2,4,7,5,6]=>[1,3,8,2,7,5,4,6]=>[8,6,1,7,2,4,5,3]=>0000000
[1,3,8,2,7,6,5,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>0000000
[2,1,8,3,7,6,5,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>0000000
[2,7,1,5,8,3,6,4]=>[1,2,7,6,3,4,5,8]=>[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>0000000
[5,4,6,1,8,7,2,3]=>[1,5,8,3,6,7,2,4]=>[1,7,8,2,5,3,6,4]=>[8,2,1,7,4,6,3,5]=>0000000
[5,3,6,1,8,2,7,4]=>[1,5,8,4,2,3,6,7]=>[1,4,2,8,5,3,6,7]=>[8,5,7,1,4,6,3,2]=>0000000
[8,1,3,5,7,2,6,4]=>[1,8,4,5,7,6,2,3]=>[1,6,2,7,3,8,5,4]=>[8,3,7,2,6,1,4,5]=>0000000
[8,1,2,5,7,3,6,4]=>[1,8,4,5,7,6,3,2]=>[1,3,6,7,2,8,5,4]=>[8,6,3,2,7,1,4,5]=>0000000
[7,3,1,4,2,8,6,5]=>[1,7,6,8,5,2,3,4]=>[1,5,2,3,8,7,6,4]=>[8,4,7,6,1,2,3,5]=>0000000
[2,7,1,4,3,8,6,5]=>[1,2,7,6,8,5,3,4]=>[1,2,5,3,8,7,6,4]=>[8,7,4,6,1,2,3,5]=>0000000
[8,1,6,7,2,3,5,4]=>[1,8,4,7,5,2,3,6]=>[1,5,2,7,8,4,3,6]=>[8,4,7,2,1,5,6,3]=>0000000
[7,3,1,2,4,8,6,5]=>[1,7,6,8,5,4,2,3]=>[1,4,2,5,8,7,6,3]=>[8,5,7,4,1,2,3,6]=>0000000
[8,1,3,2,4,7,6,5]=>[1,8,5,4,2,3,6,7]=>[1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>0000000
[2,4,6,3,5,1,8,7]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[2,4,6,3,1,5,8,7]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[2,4,6,1,5,3,8,7]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[4,2,6,5,8,1,7,3]=>[1,4,5,8,3,6,2,7]=>[1,6,8,4,5,3,2,7]=>[8,3,1,5,4,6,7,2]=>0000000
[2,1,4,6,5,8,3,7]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>0000000
[4,2,6,5,3,8,7,1]=>[1,4,5,3,6,8,2,7]=>[1,8,5,4,3,6,2,7]=>[8,1,4,5,6,3,7,2]=>0000000
[2,6,4,3,8,7,5,1]=>[1,2,6,7,5,8,3,4]=>[1,2,8,3,7,6,5,4]=>[8,7,1,6,2,3,4,5]=>0000000
[2,4,6,8,3,1,5,7]=>[1,2,4,8,7,5,3,6]=>[1,2,5,4,7,3,8,6]=>[8,7,4,5,2,6,1,3]=>0000000
[2,4,3,6,1,8,5,7]=>[1,2,4,6,8,7,5,3]=>[1,2,5,4,7,6,8,3]=>[8,7,4,5,2,3,1,6]=>0000000
[4,6,2,8,5,7,3,1]=>[1,4,8,2,6,7,3,5]=>[1,8,7,4,3,2,6,5]=>[8,1,2,5,6,7,3,4]=>0000000
[2,6,4,1,8,7,5,3]=>[1,2,6,7,5,8,3,4]=>[1,2,8,3,7,6,5,4]=>[8,7,1,6,2,3,4,5]=>0000000
[8,1,6,3,7,2,4,5]=>[1,8,5,7,4,3,6,2]=>[1,6,4,7,8,3,5,2]=>[8,3,5,2,1,6,4,7]=>0000000
[4,3,1,7,5,8,2,6]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>0000000
[2,8,6,3,7,1,4,5]=>[1,2,8,5,7,4,3,6]=>[1,2,4,7,8,3,5,6]=>[8,7,5,2,1,6,4,3]=>0000000
[6,8,1,3,7,2,4,5]=>[1,6,2,8,5,7,4,3]=>[1,6,4,7,8,2,5,3]=>[8,3,5,2,1,7,4,6]=>0000000
[8,5,1,3,7,2,4,6]=>[1,8,6,2,5,7,4,3]=>[1,6,4,8,3,7,5,2]=>[8,3,5,1,6,2,4,7]=>0000000
[8,3,2,1,4,6,5,7]=>[1,8,7,5,4,2,3,6]=>[1,4,2,5,7,3,8,6]=>[8,5,7,4,2,6,1,3]=>0000000
[3,8,2,1,5,7,4,6]=>[1,3,2,8,6,7,4,5]=>[1,3,2,7,4,8,6,5]=>[8,6,7,2,5,1,3,4]=>0000000
[4,8,2,5,1,7,3,6]=>[1,4,5,2,8,6,7,3]=>[1,5,7,4,2,8,6,3]=>[8,4,2,5,7,1,3,6]=>0000000
[3,2,1,7,5,8,6,4]=>[1,3,2,4,7,6,8,5]=>[1,3,2,4,8,7,6,5]=>[8,6,7,5,1,2,3,4]=>0000000
[4,3,8,6,7,1,2,5]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[8,3,7,5,1,6,4,2]=>0000000
[4,2,7,6,1,3,8,5]=>[1,4,6,3,7,8,5,2]=>[1,5,8,4,6,2,7,3]=>[8,4,1,5,3,7,2,6]=>0000000
[4,2,6,7,1,3,8,5]=>[1,4,7,8,5,2,3,6]=>[1,5,2,4,8,3,7,6]=>[8,4,7,5,1,6,2,3]=>0000000
[3,2,6,1,7,8,4,5]=>[1,3,6,8,5,7,4,2]=>[1,4,3,7,8,6,5,2]=>[8,5,6,2,1,3,4,7]=>0000000
[5,3,6,4,8,7,1,2]=>[1,5,8,2,3,6,7,4]=>[1,8,2,7,5,3,6,4]=>[8,1,7,2,4,6,3,5]=>0000000
[1,2,7,5,4,8,6,3]=>[1,2,3,7,6,8,4,5]=>[1,2,3,8,4,7,6,5]=>[8,7,6,1,5,2,3,4]=>0000000
[2,6,1,5,7,3,8,4]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[6,1,7,8,4,3,2,5]=>[1,6,3,7,2,4,8,5]=>[1,7,6,2,8,3,4,5]=>[8,2,3,7,1,6,5,4]=>0000000
[7,1,8,6,4,3,2,5]=>[1,7,2,3,8,5,4,6]=>[1,7,2,5,8,4,3,6]=>[8,2,7,4,1,5,6,3]=>0000000
[1,2,8,5,6,3,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[5,1,8,7,4,3,2,6]=>[1,5,4,7,2,3,8,6]=>[1,7,2,5,4,8,3,6]=>[8,2,7,4,5,1,6,3]=>0000000
[7,5,8,1,4,3,2,6]=>[1,7,2,5,4,3,8,6]=>[1,7,4,5,2,8,3,6]=>[8,2,5,4,7,1,6,3]=>0000000
[1,5,7,8,4,3,2,6]=>[1,2,5,4,8,6,3,7]=>[1,2,6,5,4,8,3,7]=>[8,7,3,4,5,1,6,2]=>0000000
[4,2,8,5,1,3,7,6]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[8,4,7,5,6,1,3,2]=>0000000
[1,6,7,4,8,3,5,2]=>[1,2,6,3,7,5,8,4]=>[1,2,6,8,7,3,5,4]=>[8,7,3,1,2,6,4,5]=>0000000
[1,4,6,3,7,5,8,2]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[2,4,6,1,7,5,3,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[1,7,5,4,3,8,6,2]=>[1,2,7,6,8,3,5,4]=>[1,2,8,5,3,7,6,4]=>[8,7,1,4,6,2,3,5]=>0000000
[1,5,8,4,3,6,7,2]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[2,4,1,7,8,5,3,6]=>[1,2,4,7,3,5,8,6]=>[1,2,7,4,3,8,5,6]=>[8,7,2,5,6,1,4,3]=>0000000
[3,5,2,1,6,4,7,8]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>0000000
[5,7,3,2,1,6,8,4]=>[1,5,2,7,8,4,3,6]=>[1,5,4,8,2,3,7,6]=>[8,4,5,1,7,6,2,3]=>0000000
[6,3,7,2,5,1,8,4]=>[1,6,2,3,7,8,4,5]=>[1,6,2,8,4,3,7,5]=>[8,3,7,1,5,6,2,4]=>0000000
[2,1,5,7,8,6,3,4]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[8,7,6,1,4,2,5,3]=>0000000
[8,3,5,2,1,4,7,6]=>[1,8,6,4,2,3,5,7]=>[1,4,2,6,3,8,5,7]=>[8,5,7,3,6,1,4,2]=>0000000
[2,7,6,5,1,8,3,4]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>[8,7,2,1,5,6,3,4]=>0000000
[7,3,5,1,8,4,2,6]=>[1,7,2,3,5,8,6,4]=>[1,7,2,6,3,8,5,4]=>[8,2,7,3,6,1,4,5]=>0000000
[2,7,6,4,1,8,5,3]=>[1,2,7,5,3,6,8,4]=>[1,2,5,7,8,4,6,3]=>[8,7,4,2,1,5,3,6]=>0000000
[7,3,5,1,8,6,2,4]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>0000000
[2,3,4,8,5,7,1,6]=>[1,2,3,4,8,6,7,5]=>[1,2,3,4,7,8,6,5]=>[8,7,6,5,2,1,3,4]=>0000000
[7,3,5,4,8,1,2,6]=>[1,7,2,3,5,8,6,4]=>[1,7,2,6,3,8,5,4]=>[8,2,7,3,6,1,4,5]=>0000000
[6,4,3,5,8,7,2,1]=>[1,6,7,2,4,5,8,3]=>[1,7,8,2,4,6,5,3]=>[8,2,1,7,5,3,4,6]=>0000000
[6,4,3,5,8,7,1,2]=>[1,6,7,2,4,5,8,3]=>[1,7,8,2,4,6,5,3]=>[8,2,1,7,5,3,4,6]=>0000000
[2,7,6,5,4,8,1,3]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>[8,7,2,1,5,6,3,4]=>0000000
[7,3,5,6,8,1,2,4]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>0000000
[6,4,1,5,8,7,2,3]=>[1,6,7,2,4,5,8,3]=>[1,7,8,2,4,6,5,3]=>[8,2,1,7,5,3,4,6]=>0000000
[6,3,5,7,8,2,1,4]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>[8,3,7,1,6,4,5,2]=>0000000
[5,7,3,6,1,8,4,2]=>[1,5,2,7,4,6,8,3]=>[1,5,8,7,2,4,6,3]=>[8,4,1,2,7,5,3,6]=>0000000
[7,3,5,4,8,6,2,1]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>0000000
[2,3,4,8,5,6,1,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[7,4,3,5,8,2,6,1]=>[1,7,6,2,4,5,8,3]=>[1,6,7,3,4,8,5,2]=>[8,3,2,6,5,1,4,7]=>0000000
[6,3,5,4,8,2,1,7]=>[1,6,2,3,5,8,7,4]=>[1,6,2,7,3,5,8,4]=>[8,3,7,2,6,4,1,5]=>0000000
[2,3,4,8,5,1,6,7]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>0000000
[8,6,5,1,2,4,7,3]=>[1,8,3,5,2,6,4,7]=>[1,5,8,6,3,2,4,7]=>[8,4,1,3,6,7,5,2]=>0000000
[1,3,8,5,7,6,2,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>0000000
[3,8,2,5,6,1,7,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>0000000
[3,8,6,5,7,1,2,4]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[8,3,6,1,5,7,4,2]=>0000000
[5,2,8,6,1,7,3,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>0000000
[1,2,8,6,5,7,3,4]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[8,7,6,1,2,5,3,4]=>0000000
[6,1,5,3,4,7,8,2]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>[8,1,7,4,6,3,2,5]=>0000000
[8,5,2,6,3,7,1,4]=>[1,8,4,6,7,2,5,3]=>[1,7,5,8,2,4,6,3]=>[8,2,4,1,7,5,3,6]=>0000000
[5,7,6,4,1,2,8,3]=>[1,5,2,7,8,3,6,4]=>[1,5,8,6,2,3,7,4]=>[8,4,1,3,7,6,2,5]=>0000000
[6,1,5,4,3,7,8,2]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>[8,1,7,4,6,3,2,5]=>0000000
[4,8,7,2,6,5,3,1]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[8,5,1,7,2,4,6,3]=>0000000
[5,8,7,6,2,4,3,1]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>0000000
[6,2,1,5,7,4,8,3]=>[1,6,4,5,7,8,3,2]=>[1,3,8,6,4,5,7,2]=>[8,6,1,3,5,4,2,7]=>0000000
[2,4,6,7,3,8,1,5]=>[1,2,4,7,3,6,8,5]=>[1,2,7,4,8,3,6,5]=>[8,7,2,5,1,6,3,4]=>0000000
[5,3,6,2,7,8,1,4]=>[1,5,7,2,3,6,8,4]=>[1,7,2,8,5,3,6,4]=>[8,2,7,1,4,6,3,5]=>0000000
[1,3,6,2,7,8,5,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000
[3,4,6,7,2,8,5,1]=>[1,3,6,8,2,4,7,5]=>[1,8,3,2,7,6,4,5]=>[8,1,6,7,2,3,5,4]=>0000000
[4,2,1,5,7,3,8,6]=>[1,4,5,7,8,6,3,2]=>[1,3,6,4,5,8,7,2]=>[8,6,3,5,4,1,2,7]=>0000000
[4,2,1,6,7,8,3,5]=>[1,4,6,8,5,7,3,2]=>[1,3,7,4,8,6,5,2]=>[8,6,2,5,1,3,4,7]=>0000000
[1,2,3,6,5,8,4,7]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>0000000
[7,5,1,8,6,2,4,3]=>[1,7,4,8,3,2,5,6]=>[1,3,8,7,2,5,4,6]=>[8,6,1,2,7,4,5,3]=>0000000
[7,2,8,3,6,5,1,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[8,2,7,1,5,4,6,3]=>0000000
[7,2,8,3,6,1,5,4]=>[1,7,5,6,2,3,8,4]=>[1,6,2,8,7,5,3,4]=>[8,3,7,1,2,4,6,5]=>0000000
[5,2,3,8,1,4,7,6]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[6,2,4,1,8,7,3,5]=>[1,6,7,3,4,2,5,8]=>[1,4,7,3,2,6,5,8]=>[8,5,2,6,7,3,4,1]=>0000000
[3,1,6,4,2,8,5,7]=>[1,3,6,8,7,5,2,4]=>[1,5,3,2,7,6,8,4]=>[8,4,6,7,2,3,1,5]=>0000000
[1,2,4,8,3,7,6,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[5,1,3,8,2,4,7,6]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[5,1,4,8,2,7,6,3]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[1,3,5,2,8,7,4,6]=>[1,2,3,5,8,6,7,4]=>[1,2,3,7,5,8,6,4]=>[8,7,6,2,4,1,3,5]=>0000000
[3,5,1,2,8,7,4,6]=>[1,3,2,5,8,6,7,4]=>[1,3,2,7,5,8,6,4]=>[8,6,7,2,4,1,3,5]=>0000000
[4,3,1,5,8,2,7,6]=>[1,4,5,8,6,2,3,7]=>[1,6,2,4,5,8,3,7]=>[8,3,7,5,4,1,6,2]=>0000000
[3,5,2,8,7,1,4,6]=>[1,3,2,5,7,4,8,6]=>[1,3,2,7,5,8,4,6]=>[8,6,7,2,4,1,5,3]=>0000000
[1,3,4,8,2,7,6,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[3,4,8,1,2,7,6,5]=>[1,3,8,5,2,4,6,7]=>[1,5,3,2,8,4,6,7]=>[8,4,6,7,1,5,3,2]=>0000000
[2,3,5,1,8,7,6,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>0000000
[1,7,6,5,2,8,3,4]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>[8,7,2,1,5,6,3,4]=>0000000
[1,7,2,4,8,3,6,5]=>[1,2,7,6,3,4,5,8]=>[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>0000000
[4,7,1,6,2,3,8,5]=>[1,4,6,3,2,7,8,5]=>[1,3,6,4,8,2,7,5]=>[8,6,3,5,1,7,2,4]=>0000000
[1,2,6,7,4,8,5,3]=>[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,4,5]=>[8,7,6,1,2,3,5,4]=>0000000
[3,2,8,5,4,6,1,7]=>[1,3,8,7,2,4,5,6]=>[1,7,3,2,4,5,8,6]=>[8,2,6,7,5,4,1,3]=>0000000
[4,7,6,3,5,8,1,2]=>[1,4,3,6,8,2,7,5]=>[1,8,4,3,7,6,2,5]=>[8,1,5,6,2,3,7,4]=>0000000
[3,7,6,5,2,1,8,4]=>[1,3,6,2,7,8,4,5]=>[1,6,3,8,4,2,7,5]=>[8,3,6,1,5,7,2,4]=>0000000
[4,1,5,7,8,3,2,6]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>[8,2,7,5,6,1,4,3]=>0000000
[4,1,7,8,5,2,3,6]=>[1,4,8,6,2,3,7,5]=>[1,6,2,4,8,7,5,3]=>[8,3,7,5,1,2,4,6]=>0000000
[6,8,1,4,3,7,2,5]=>[1,6,7,2,8,5,3,4]=>[1,7,5,3,8,6,2,4]=>[8,2,4,6,1,3,7,5]=>0000000
[8,1,2,3,5,7,6,4]=>[1,8,4,3,2,5,6,7]=>[1,3,4,8,2,5,6,7]=>[8,6,5,1,7,4,3,2]=>0000000
[5,8,3,7,1,4,2,6]=>[1,5,2,8,6,4,7,3]=>[1,5,7,6,2,8,4,3]=>[8,4,2,3,7,1,5,6]=>0000000
[8,6,3,2,4,7,1,5]=>[1,8,5,4,2,6,7,3]=>[1,4,5,8,7,2,6,3]=>[8,5,4,1,2,7,3,6]=>0000000
[7,6,2,4,3,1,8,5]=>[1,7,8,5,3,2,6,4]=>[1,3,5,8,6,4,7,2]=>[8,6,4,1,3,5,2,7]=>0000000
[7,2,1,4,6,3,5,8]=>[1,7,5,6,3,2,4,8]=>[1,3,6,2,7,5,4,8]=>[8,6,3,7,2,4,5,1]=>0000000
[1,5,8,2,7,6,3,4]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[8,7,2,1,4,5,6,3]=>0000000
[3,6,4,1,2,8,5,7]=>[1,3,4,2,6,8,7,5]=>[1,4,3,2,7,6,8,5]=>[8,5,6,7,2,3,1,4]=>0000000
[2,5,1,8,7,6,3,4]=>[1,2,5,7,3,4,8,6]=>[1,2,7,3,5,8,4,6]=>[8,7,2,6,4,1,5,3]=>0000000
[1,2,5,3,8,7,4,6]=>[1,2,3,5,8,6,7,4]=>[1,2,3,7,5,8,6,4]=>[8,7,6,2,4,1,3,5]=>0000000
[2,5,8,4,1,7,6,3]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[5,3,8,4,1,7,6,2]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>0000000
[5,1,3,8,7,6,2,4]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[8,2,7,6,4,1,5,3]=>0000000
[1,5,3,8,7,6,2,4]=>[1,2,5,7,3,4,8,6]=>[1,2,7,3,5,8,4,6]=>[8,7,2,6,4,1,5,3]=>0000000
[5,1,8,4,7,2,6,3]=>[1,5,7,6,2,3,8,4]=>[1,6,2,7,5,8,4,3]=>[8,3,7,2,4,1,5,6]=>0000000
[4,3,6,1,2,8,5,7]=>[1,4,2,3,6,8,7,5]=>[1,4,2,3,7,6,8,5]=>[8,5,7,6,2,3,1,4]=>0000000
[4,5,2,8,7,1,3,6]=>[1,4,8,6,2,5,7,3]=>[1,6,8,4,3,7,5,2]=>[8,3,1,5,6,2,4,7]=>0000000
[3,4,8,7,6,5,1,2]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[8,1,6,7,2,4,5,3]=>0000000
[3,4,8,7,6,2,5,1]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[8,1,6,7,2,4,5,3]=>0000000
[8,1,2,6,7,3,5,4]=>[1,8,4,6,3,2,5,7]=>[1,3,6,8,2,4,5,7]=>[8,6,3,1,7,5,4,2]=>0000000
[6,8,3,4,1,7,5,2]=>[1,6,7,5,2,8,3,4]=>[1,5,7,2,8,6,3,4]=>[8,4,2,7,1,3,6,5]=>0000000
[6,8,3,7,4,1,5,2]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[8,3,1,6,2,7,5,4]=>0000000
[8,5,2,4,7,1,6,3]=>[1,8,3,2,5,7,6,4]=>[1,3,8,6,2,7,5,4]=>[8,6,1,3,7,2,4,5]=>0000000
[8,2,4,7,3,6,1,5]=>[1,8,5,3,4,7,2,6]=>[1,7,5,3,8,2,4,6]=>[8,2,4,6,1,7,5,3]=>0000000
[8,2,7,1,4,6,3,5]=>[1,8,5,4,2,3,7,6]=>[1,4,2,5,8,7,3,6]=>[8,5,7,4,1,2,6,3]=>0000000
[8,7,1,4,6,2,3,5]=>[1,8,5,6,2,7,3,4]=>[1,6,7,3,8,5,2,4]=>[8,3,2,6,1,4,7,5]=>0000000
[8,5,4,7,1,2,6,3]=>[1,8,3,4,7,6,2,5]=>[1,6,7,2,3,8,4,5]=>[8,3,2,7,6,1,5,4]=>0000000
[8,5,1,4,7,2,6,3]=>[1,8,3,2,5,7,6,4]=>[1,3,8,6,2,7,5,4]=>[8,6,1,3,7,2,4,5]=>0000000
[1,6,8,3,7,5,2,4]=>[1,2,6,5,7,3,8,4]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>0000000
[8,6,4,7,3,1,5,2]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[8,1,3,6,2,7,5,4]=>0000000
[8,3,7,2,4,6,1,5]=>[1,8,5,4,2,3,7,6]=>[1,4,2,5,8,7,3,6]=>[8,5,7,4,1,2,6,3]=>0000000
[8,7,3,4,5,1,6,2]=>[1,8,2,7,6,3,4,5]=>[1,8,6,3,4,7,2,5]=>[8,1,3,6,5,2,7,4]=>0000000
[8,6,5,1,3,2,7,4]=>[1,8,4,2,6,3,5,7]=>[1,4,8,6,2,3,5,7]=>[8,5,1,3,7,6,4,2]=>0000000
[8,6,3,1,7,2,4,5]=>[1,8,5,7,4,2,6,3]=>[1,4,7,6,8,3,5,2]=>[8,5,2,3,1,6,4,7]=>0000000
[8,6,1,2,4,7,3,5]=>[1,8,5,4,2,6,7,3]=>[1,4,5,8,7,2,6,3]=>[8,5,4,1,2,7,3,6]=>0000000
[5,7,8,1,3,4,6,2]=>[1,5,3,8,2,7,6,4]=>[1,8,5,6,3,7,2,4]=>[8,1,4,3,6,2,7,5]=>0000000
[6,1,2,8,7,5,3,4]=>[1,6,5,7,3,2,4,8]=>[1,3,7,2,6,5,4,8]=>[8,6,2,7,3,4,5,1]=>0000000
[6,1,2,4,8,7,5,3]=>[1,6,7,5,8,3,2,4]=>[1,3,8,2,7,6,5,4]=>[8,6,1,7,2,3,4,5]=>0000000
[3,1,8,4,6,7,5,2]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>0000000
[3,1,7,6,4,8,5,2]=>[1,3,7,5,4,6,8,2]=>[1,8,3,5,7,4,6,2]=>[8,1,6,4,2,5,3,7]=>0000000
[7,1,2,4,6,8,5,3]=>[1,7,5,6,8,3,2,4]=>[1,3,8,2,7,5,6,4]=>[8,6,1,7,2,4,3,5]=>0000000
[1,2,3,5,8,6,4,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[3,1,7,8,4,6,5,2]=>[1,3,7,5,4,8,2,6]=>[1,8,3,5,7,2,4,6]=>[8,1,6,4,2,7,5,3]=>0000000
[8,1,2,7,4,6,5,3]=>[1,8,3,2,4,7,5,6]=>[1,3,8,2,7,5,4,6]=>[8,6,1,7,2,4,5,3]=>0000000
[4,5,8,3,2,7,6,1]=>[1,4,3,8,2,5,6,7]=>[1,8,4,3,2,5,6,7]=>[8,1,5,6,7,4,3,2]=>0000000
[5,3,2,7,4,8,6,1]=>[1,5,4,7,6,8,2,3]=>[1,8,2,5,4,7,6,3]=>[8,1,7,4,5,2,3,6]=>0000000
[5,7,4,3,2,8,6,1]=>[1,5,2,7,6,8,3,4]=>[1,5,8,3,2,7,6,4]=>[8,4,1,6,7,2,3,5]=>0000000
[3,6,2,8,7,5,4,1]=>[1,3,2,6,5,7,4,8]=>[1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>0000000
[7,4,5,3,2,8,6,1]=>[1,7,6,8,2,4,3,5]=>[1,8,4,2,3,7,6,5]=>[8,1,5,7,6,2,3,4]=>0000000
[2,1,7,5,4,8,6,3]=>[1,2,3,7,6,8,4,5]=>[1,2,3,8,4,7,6,5]=>[8,7,6,1,5,2,3,4]=>0000000
[1,7,3,4,2,8,6,5]=>[1,2,7,6,8,5,3,4]=>[1,2,5,3,8,7,6,4]=>[8,7,4,6,1,2,3,5]=>0000000
[1,7,4,2,8,6,5,3]=>[1,2,7,5,8,3,4,6]=>[1,2,8,3,7,4,5,6]=>[8,7,1,6,2,5,4,3]=>0000000
[1,5,8,6,2,4,7,3]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[8,6,1,4,2,7,5,3]=>[1,8,3,2,6,7,5,4]=>[1,3,8,5,7,2,6,4]=>[8,6,1,4,2,7,3,5]=>0000000
[6,1,7,4,3,5,8,2]=>[1,6,5,3,7,8,2,4]=>[1,8,5,2,6,3,7,4]=>[8,1,4,7,3,6,2,5]=>0000000
[4,7,1,3,8,2,5,6]=>[1,4,3,2,7,5,8,6]=>[1,3,4,2,7,8,5,6]=>[8,6,5,7,2,1,4,3]=>0000000
[1,3,6,4,2,8,5,7]=>[1,2,3,6,8,7,5,4]=>[1,2,3,5,7,6,8,4]=>[8,7,6,4,2,3,1,5]=>0000000
[2,4,3,7,8,6,1,5]=>[1,2,4,7,3,5,8,6]=>[1,2,7,4,3,8,5,6]=>[8,7,2,5,6,1,4,3]=>0000000
[1,4,7,3,8,2,5,6]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[8,7,5,6,2,1,4,3]=>0000000
[8,1,4,3,7,2,5,6]=>[1,8,6,2,3,4,5,7]=>[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>0000000
[4,2,3,7,8,6,1,5]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>[8,2,7,5,6,1,4,3]=>0000000
[5,7,2,6,8,4,1,3]=>[1,5,8,3,2,7,4,6]=>[1,3,8,7,5,4,2,6]=>[8,6,1,2,4,5,7,3]=>0000000
[7,2,5,6,8,4,1,3]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>0000000
[5,2,3,8,7,6,1,4]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[8,2,7,6,4,1,5,3]=>0000000
[1,5,4,7,6,8,2,3]=>[1,2,5,6,8,3,4,7]=>[1,2,8,3,5,6,4,7]=>[8,7,1,6,4,3,5,2]=>0000000
[3,7,4,6,5,8,1,2]=>[1,3,4,6,8,2,7,5]=>[1,8,3,4,7,6,2,5]=>[8,1,6,5,2,3,7,4]=>0000000
[5,8,6,7,1,3,2,4]=>[1,5,2,8,4,7,3,6]=>[1,5,7,8,2,3,4,6]=>[8,4,2,1,7,6,5,3]=>0000000
[1,3,2,8,6,7,4,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[7,8,1,6,2,4,3,5]=>[1,7,3,2,8,5,4,6]=>[1,3,7,5,8,4,2,6]=>[8,6,2,4,1,5,7,3]=>0000000
[7,8,1,4,2,6,3,5]=>[1,7,3,2,8,5,4,6]=>[1,3,7,5,8,4,2,6]=>[8,6,2,4,1,5,7,3]=>0000000
[2,7,5,1,8,4,3,6]=>[1,2,7,3,5,8,6,4]=>[1,2,7,6,3,8,5,4]=>[8,7,2,3,6,1,4,5]=>0000000
[3,8,7,1,4,6,5,2]=>[1,3,7,5,4,2,8,6]=>[1,4,3,5,7,8,2,6]=>[8,5,6,4,2,1,7,3]=>0000000
[3,6,4,7,5,1,8,2]=>[1,3,4,7,8,2,6,5]=>[1,8,3,4,6,2,7,5]=>[8,1,6,5,3,7,2,4]=>0000000
[4,2,8,7,3,5,6,1]=>[1,4,7,6,5,3,8,2]=>[1,8,5,4,6,7,3,2]=>[8,1,4,5,3,2,6,7]=>0000000
[8,3,5,6,7,4,1,2]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[8,1,7,2,6,5,4,3]=>0000000
[7,4,3,2,8,5,6,1]=>[1,7,6,5,8,2,4,3]=>[1,8,4,2,6,7,5,3]=>[8,1,5,7,3,2,4,6]=>0000000
[8,1,6,4,7,3,2,5]=>[1,8,5,7,2,3,6,4]=>[1,7,2,6,8,3,5,4]=>[8,2,7,3,1,6,4,5]=>0000000
[7,6,4,1,2,3,8,5]=>[1,7,8,5,2,6,3,4]=>[1,5,8,2,6,3,7,4]=>[8,4,1,7,3,6,2,5]=>0000000
[8,2,3,7,1,5,6,4]=>[1,8,4,7,6,5,2,3]=>[1,5,2,6,7,8,4,3]=>[8,4,7,3,2,1,5,6]=>0000000
[7,8,2,4,3,5,6,1]=>[1,7,6,5,3,2,8,4]=>[1,3,5,6,7,8,2,4]=>[8,6,4,3,2,1,7,5]=>0000000
[2,8,3,7,1,5,6,4]=>[1,2,8,4,7,6,5,3]=>[1,2,5,6,7,8,4,3]=>[8,7,4,3,2,1,5,6]=>0000000
[1,7,4,3,8,6,2,5]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>0000000
[1,5,8,6,3,4,7,2]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[2,5,8,6,3,4,7,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[1,8,5,2,3,6,7,4]=>[1,2,8,4,3,5,6,7]=>[1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>0000000
[4,8,3,2,5,6,7,1]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>0000000
[2,1,8,3,5,6,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[4,2,7,1,8,6,3,5]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[8,5,7,6,2,1,4,3]=>0000000
[3,8,4,1,2,6,7,5]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>[8,5,6,7,1,4,3,2]=>0000000
[4,5,8,7,3,6,1,2]=>[1,4,7,2,5,3,8,6]=>[1,7,5,4,2,8,3,6]=>[8,2,4,5,7,1,6,3]=>0000000
[8,6,5,4,1,2,7,3]=>[1,8,3,5,2,6,4,7]=>[1,5,8,6,3,2,4,7]=>[8,4,1,3,6,7,5,2]=>0000000
[6,1,5,3,8,7,2,4]=>[1,6,7,2,3,5,8,4]=>[1,7,2,8,3,6,5,4]=>[8,2,7,1,6,3,4,5]=>0000000
[5,1,4,8,2,6,7,3]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[3,4,8,5,2,6,7,1]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>0000000
[2,8,4,5,1,6,7,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[5,3,4,8,1,6,7,2]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[8,1,5,4,3,7,6,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[8,1,7,4,6,5,3,2]=>0000000
[8,1,5,4,3,7,2,6]=>[1,8,6,7,2,3,5,4]=>[1,7,2,5,3,8,6,4]=>[8,2,7,4,6,1,3,5]=>0000000
[6,5,3,8,1,4,2,7]=>[1,6,4,8,7,2,5,3]=>[1,7,5,6,2,4,8,3]=>[8,2,4,3,7,5,1,6]=>0000000
[8,1,7,2,5,4,6,3]=>[1,8,3,7,6,4,2,5]=>[1,4,6,7,2,8,3,5]=>[8,5,3,2,7,1,6,4]=>0000000
[6,5,3,8,1,4,7,2]=>[1,6,4,8,2,5,3,7]=>[1,8,5,6,2,4,3,7]=>[8,1,4,3,7,5,6,2]=>0000000
[8,7,1,5,2,6,3,4]=>[1,8,4,5,2,7,3,6]=>[1,5,7,8,4,3,2,6]=>[8,4,2,1,5,6,7,3]=>0000000
[8,5,2,3,1,7,6,4]=>[1,8,4,3,2,5,6,7]=>[1,3,4,8,2,5,6,7]=>[8,6,5,1,7,4,3,2]=>0000000
[8,7,2,5,1,6,3,4]=>[1,8,4,5,2,7,3,6]=>[1,5,7,8,4,3,2,6]=>[8,4,2,1,5,6,7,3]=>0000000
[8,5,7,2,1,4,6,3]=>[1,8,3,7,6,4,2,5]=>[1,4,6,7,2,8,3,5]=>[8,5,3,2,7,1,6,4]=>0000000
[8,5,1,3,2,7,6,4]=>[1,8,4,3,2,5,6,7]=>[1,3,4,8,2,5,6,7]=>[8,6,5,1,7,4,3,2]=>0000000
[5,8,3,6,4,1,2,7]=>[1,5,4,6,2,8,7,3]=>[1,6,7,5,4,2,8,3]=>[8,3,2,4,5,7,1,6]=>0000000
[8,4,7,5,1,2,6,3]=>[1,8,3,7,6,2,4,5]=>[1,6,7,3,4,8,2,5]=>[8,3,2,6,5,1,7,4]=>0000000
[8,4,7,5,1,2,3,6]=>[1,8,6,2,4,5,3,7]=>[1,6,5,2,4,8,3,7]=>[8,3,4,7,5,1,6,2]=>0000000
[8,3,2,6,5,1,4,7]=>[1,8,7,4,6,2,3,5]=>[1,6,2,7,3,4,8,5]=>[8,3,7,2,6,5,1,4]=>0000000
[8,4,7,2,1,5,3,6]=>[1,8,6,5,2,4,3,7]=>[1,5,4,2,6,8,3,7]=>[8,4,5,7,3,1,6,2]=>0000000
[8,3,2,1,7,6,4,5]=>[1,8,5,7,4,2,3,6]=>[1,4,2,7,8,3,5,6]=>[8,5,7,2,1,6,4,3]=>0000000
[8,7,3,1,6,2,4,5]=>[1,8,5,6,2,7,4,3]=>[1,6,4,7,8,5,2,3]=>[8,3,5,2,1,4,7,6]=>0000000
[8,7,3,1,2,4,6,5]=>[1,8,5,2,7,6,4,3]=>[1,5,4,8,6,7,3,2]=>[8,4,5,1,3,2,6,7]=>0000000
[8,3,2,1,7,4,6,5]=>[1,8,5,7,6,4,2,3]=>[1,4,2,6,7,8,3,5]=>[8,5,7,3,2,1,6,4]=>0000000
[1,2,3,8,4,6,7,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[1,7,8,2,3,6,4,5]=>[1,2,7,4,3,8,5,6]=>[1,2,4,7,8,5,3,6]=>[8,7,5,2,1,4,6,3]=>0000000
[1,7,8,2,5,3,6,4]=>[1,2,7,6,3,8,4,5]=>[1,2,6,7,3,8,4,5]=>[8,7,3,2,6,1,5,4]=>0000000
[1,5,2,7,8,3,6,4]=>[1,2,5,8,4,7,6,3]=>[1,2,6,7,5,8,3,4]=>[8,7,3,2,4,1,6,5]=>0000000
[1,3,2,8,4,6,7,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[1,8,2,3,4,6,7,5]=>[1,2,8,5,4,3,6,7]=>[1,2,4,5,8,3,6,7]=>[8,7,5,4,1,6,3,2]=>0000000
[1,7,8,2,4,3,6,5]=>[1,2,7,6,3,8,5,4]=>[1,2,6,5,7,8,4,3]=>[8,7,3,4,2,1,5,6]=>0000000
[5,6,7,4,1,8,2,3]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>[8,4,1,2,7,3,6,5]=>0000000
[5,7,4,6,1,8,2,3]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[5,7,3,1,6,8,2,4]=>[1,5,6,8,4,2,7,3]=>[1,4,8,7,5,6,3,2]=>[8,5,1,2,4,3,6,7]=>0000000
[4,8,5,7,6,1,2,3]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[8,2,1,5,6,4,7,3]=>0000000
[4,6,7,8,5,1,2,3]=>[1,4,8,3,7,2,6,5]=>[1,7,8,4,6,2,3,5]=>[8,2,1,5,3,7,6,4]=>0000000
[5,4,7,8,1,6,2,3]=>[1,5,2,4,8,3,7,6]=>[1,5,8,2,4,7,3,6]=>[8,4,1,7,5,2,6,3]=>0000000
[5,3,8,1,7,6,2,4]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[8,2,7,1,4,5,6,3]=>0000000
[4,8,7,6,5,1,2,3]=>[1,4,6,2,8,3,7,5]=>[1,6,8,4,7,2,3,5]=>[8,3,1,5,2,7,6,4]=>0000000
[1,7,5,2,3,8,4,6]=>[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000
[2,3,1,8,6,5,4,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[3,6,8,2,1,4,5,7]=>[1,3,8,7,5,2,6,4]=>[1,5,3,7,6,4,8,2]=>[8,4,6,2,3,5,1,7]=>0000000
[1,2,3,8,6,4,7,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[1,2,3,7,4,8,6,5]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>0000000
[1,2,3,7,6,4,8,5]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>0000000
[1,5,2,8,7,3,4,6]=>[1,2,5,7,4,8,6,3]=>[1,2,6,8,5,7,3,4]=>[8,7,3,1,4,2,6,5]=>0000000
[1,2,7,3,6,4,8,5]=>[1,2,3,7,8,5,6,4]=>[1,2,3,6,8,5,7,4]=>[8,7,6,3,1,4,2,5]=>0000000
[1,2,6,3,8,4,7,5]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>0000000
[8,3,2,1,7,4,5,6]=>[1,8,6,4,2,3,5,7]=>[1,4,2,6,3,8,5,7]=>[8,5,7,3,6,1,4,2]=>0000000
[3,8,5,7,1,2,6,4]=>[1,3,5,2,8,4,7,6]=>[1,5,3,8,2,7,4,6]=>[8,4,6,1,7,2,5,3]=>0000000
[3,8,5,7,2,6,4,1]=>[1,3,5,2,8,4,7,6]=>[1,5,3,8,2,7,4,6]=>[8,4,6,1,7,2,5,3]=>0000000
[2,3,8,1,6,5,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[3,8,5,7,1,6,4,2]=>[1,3,5,2,8,4,7,6]=>[1,5,3,8,2,7,4,6]=>[8,4,6,1,7,2,5,3]=>0000000
[3,8,5,7,2,1,6,4]=>[1,3,5,2,8,4,7,6]=>[1,5,3,8,2,7,4,6]=>[8,4,6,1,7,2,5,3]=>0000000
[5,8,6,7,2,1,3,4]=>[1,5,2,8,4,7,3,6]=>[1,5,7,8,2,3,4,6]=>[8,4,2,1,7,6,5,3]=>0000000
[4,3,1,7,5,2,8,6]=>[1,4,7,8,6,2,3,5]=>[1,6,2,4,3,8,7,5]=>[8,3,7,5,6,1,2,4]=>0000000
[4,3,8,5,1,6,7,2]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[8,4,7,5,6,1,3,2]=>0000000
[5,8,6,7,2,3,4,1]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[8,4,1,3,7,6,5,2]=>0000000
[5,8,6,7,2,4,3,1]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[8,4,1,3,7,6,5,2]=>0000000
[5,8,6,7,1,2,4,3]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[8,4,1,3,7,6,5,2]=>0000000
[4,3,8,5,2,6,7,1]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[8,4,7,5,6,1,3,2]=>0000000
[1,7,3,5,8,6,2,4]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>0000000
[6,8,1,5,7,2,3,4]=>[1,6,2,8,4,5,7,3]=>[1,6,7,8,4,2,5,3]=>[8,3,2,1,5,7,4,6]=>0000000
[1,7,2,5,8,6,3,4]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>0000000
[2,7,1,5,8,6,3,4]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>0000000
[4,7,5,8,3,1,6,2]=>[1,4,8,2,7,6,3,5]=>[1,8,6,4,3,7,2,5]=>[8,1,3,5,6,2,7,4]=>0000000
[1,2,7,6,8,3,5,4]=>[1,2,3,7,5,8,4,6]=>[1,2,3,8,7,4,5,6]=>[8,7,6,1,2,5,4,3]=>0000000
[1,3,7,6,8,2,5,4]=>[1,2,3,7,5,8,4,6]=>[1,2,3,8,7,4,5,6]=>[8,7,6,1,2,5,4,3]=>0000000
[7,8,4,2,1,6,5,3]=>[1,7,5,2,8,3,4,6]=>[1,5,7,2,8,4,3,6]=>[8,4,2,7,1,5,6,3]=>0000000
[6,2,3,4,7,8,1,5]=>[1,6,8,5,7,2,3,4]=>[1,7,2,3,8,6,5,4]=>[8,2,7,6,1,3,4,5]=>0000000
[7,8,3,6,4,2,1,5]=>[1,7,2,8,5,4,6,3]=>[1,7,6,5,8,4,2,3]=>[8,2,3,4,1,5,7,6]=>0000000
[7,8,3,5,6,2,1,4]=>[1,7,2,8,4,5,6,3]=>[1,7,6,8,4,5,2,3]=>[8,2,3,1,5,4,7,6]=>0000000
[6,4,3,7,8,5,1,2]=>[1,6,5,8,2,4,7,3]=>[1,8,7,2,6,5,4,3]=>[8,1,2,7,3,4,5,6]=>0000000
[6,3,2,5,7,8,1,4]=>[1,6,8,4,5,7,2,3]=>[1,7,2,8,4,6,5,3]=>[8,2,7,1,5,3,4,6]=>0000000
[5,6,8,4,3,7,1,2]=>[1,5,3,8,2,6,7,4]=>[1,8,5,7,3,2,6,4]=>[8,1,4,2,6,7,3,5]=>0000000
[5,7,2,4,1,8,6,3]=>[1,5,2,7,6,8,3,4]=>[1,5,8,3,2,7,6,4]=>[8,4,1,6,7,2,3,5]=>0000000
[5,1,8,4,2,3,6,7]=>[1,5,2,3,8,7,6,4]=>[1,5,2,6,3,7,8,4]=>[8,4,7,3,6,2,1,5]=>0000000
[4,8,2,3,6,7,5,1]=>[1,4,3,2,8,5,6,7]=>[1,3,4,2,8,5,6,7]=>[8,6,5,7,1,4,3,2]=>0000000
[4,8,3,1,6,7,5,2]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>0000000
[1,4,3,8,2,6,5,7]=>[1,2,4,8,7,5,3,6]=>[1,2,5,4,7,3,8,6]=>[8,7,4,5,2,6,1,3]=>0000000
[4,1,3,8,2,6,5,7]=>[1,4,8,7,5,2,3,6]=>[1,5,2,4,7,3,8,6]=>[8,4,7,5,2,6,1,3]=>0000000
[1,2,4,3,8,6,5,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[4,2,3,8,1,6,5,7]=>[1,4,8,7,5,2,3,6]=>[1,5,2,4,7,3,8,6]=>[8,4,7,5,2,6,1,3]=>0000000
[4,3,1,8,2,6,5,7]=>[1,4,8,7,5,2,3,6]=>[1,5,2,4,7,3,8,6]=>[8,4,7,5,2,6,1,3]=>0000000
[1,4,7,8,5,3,2,6]=>[1,2,4,8,6,3,7,5]=>[1,2,6,4,8,7,5,3]=>[8,7,3,5,1,2,4,6]=>0000000
[1,3,4,8,2,6,5,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[1,3,4,2,8,6,5,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[1,3,2,4,8,6,5,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[2,3,1,4,8,6,5,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[2,1,3,4,8,6,5,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[3,2,5,7,8,6,1,4]=>[1,3,5,8,4,7,2,6]=>[1,7,3,8,5,2,4,6]=>[8,2,6,1,4,7,5,3]=>0000000
[1,2,6,7,5,8,3,4]=>[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,4,5]=>[8,7,6,1,2,3,5,4]=>0000000
[6,2,7,5,4,1,8,3]=>[1,6,2,3,7,8,4,5]=>[1,6,2,8,4,3,7,5]=>[8,3,7,1,5,6,2,4]=>0000000
[1,6,7,5,4,2,8,3]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>[8,7,3,1,5,6,2,4]=>0000000
[1,6,7,4,5,2,8,3]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>[8,7,3,1,5,6,2,4]=>0000000
[6,2,7,4,5,1,8,3]=>[1,6,2,3,7,8,4,5]=>[1,6,2,8,4,3,7,5]=>[8,3,7,1,5,6,2,4]=>0000000
[7,5,1,6,3,8,2,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[8,2,4,6,7,5,3,1]=>0000000
[2,7,6,1,3,8,5,4]=>[1,2,7,5,3,6,8,4]=>[1,2,5,7,8,4,6,3]=>[8,7,4,2,1,5,3,6]=>0000000
[2,1,6,7,3,8,5,4]=>[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,4,5]=>[8,7,6,1,2,3,5,4]=>0000000
[3,6,5,1,8,4,2,7]=>[1,3,5,8,7,2,6,4]=>[1,7,3,6,5,2,8,4]=>[8,2,6,3,4,7,1,5]=>0000000
[3,7,5,4,8,1,6,2]=>[1,3,5,8,2,7,6,4]=>[1,8,3,6,5,7,2,4]=>[8,1,6,3,4,2,7,5]=>0000000
[8,3,4,6,2,1,5,7]=>[1,8,7,5,2,3,4,6]=>[1,5,2,3,7,4,8,6]=>[8,4,7,6,2,5,1,3]=>0000000
[7,5,3,2,8,4,6,1]=>[1,7,6,4,2,5,8,3]=>[1,4,6,7,2,8,5,3]=>[8,5,3,2,7,1,4,6]=>0000000
[5,3,6,8,1,4,2,7]=>[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>[8,4,7,3,6,5,1,2]=>0000000
[6,4,7,3,2,8,5,1]=>[1,6,8,2,4,3,7,5]=>[1,8,4,2,7,6,3,5]=>[8,1,5,7,2,3,6,4]=>0000000
[1,6,3,7,4,8,5,2]=>[1,2,6,8,3,4,7,5]=>[1,2,8,3,7,6,4,5]=>[8,7,1,6,2,3,5,4]=>0000000
[6,7,2,4,1,8,5,3]=>[1,6,8,3,2,7,5,4]=>[1,3,8,5,7,6,2,4]=>[8,6,1,4,2,3,7,5]=>0000000
[6,4,7,3,1,2,8,5]=>[1,6,2,4,3,7,8,5]=>[1,6,4,2,8,3,7,5]=>[8,3,5,7,1,6,2,4]=>0000000
[2,5,6,3,1,7,8,4]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[8,7,4,1,6,3,2,5]=>0000000
[6,7,2,1,3,8,5,4]=>[1,6,8,4,2,7,5,3]=>[1,4,8,5,7,6,3,2]=>[8,5,1,4,2,3,6,7]=>0000000
[6,2,1,7,3,8,5,4]=>[1,6,8,4,7,5,3,2]=>[1,3,5,7,8,6,2,4]=>[8,6,4,2,1,3,7,5]=>0000000
[5,3,2,1,8,4,7,6]=>[1,5,8,6,4,2,3,7]=>[1,4,2,6,5,8,3,7]=>[8,5,7,3,4,1,6,2]=>0000000
[2,4,6,5,8,1,3,7]=>[1,2,4,5,8,7,3,6]=>[1,2,7,4,5,3,8,6]=>[8,7,2,5,4,6,1,3]=>0000000
[1,3,4,6,5,8,2,7]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>0000000
[1,7,6,4,5,8,3,2]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>[8,7,2,1,5,6,3,4]=>0000000
[3,7,4,8,2,1,6,5]=>[1,3,4,8,5,2,7,6]=>[1,5,3,4,8,7,2,6]=>[8,4,6,5,1,2,7,3]=>0000000
[3,2,5,6,8,7,1,4]=>[1,3,5,8,4,6,7,2]=>[1,7,3,8,5,4,6,2]=>[8,2,6,1,4,5,3,7]=>0000000
[3,5,2,7,6,1,8,4]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>0000000
[5,2,6,8,7,1,3,4]=>[1,5,7,3,6,2,4,8]=>[1,6,7,2,5,3,4,8]=>[8,3,2,7,4,6,5,1]=>0000000
[2,7,5,4,1,8,6,3]=>[1,2,7,6,8,3,5,4]=>[1,2,8,5,3,7,6,4]=>[8,7,1,4,6,2,3,5]=>0000000
[1,8,4,2,5,6,7,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[3,8,4,1,5,6,7,2]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>[8,5,6,7,1,4,3,2]=>0000000
[5,2,4,7,1,8,6,3]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000
[8,1,3,6,5,2,4,7]=>[1,8,7,4,6,2,3,5]=>[1,6,2,7,3,4,8,5]=>[8,3,7,2,6,5,1,4]=>0000000
[8,3,2,4,6,5,1,7]=>[1,8,7,2,3,4,5,6]=>[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>0000000
[1,3,4,8,5,7,2,6]=>[1,2,3,4,8,6,7,5]=>[1,2,3,4,7,8,6,5]=>[8,7,6,5,2,1,3,4]=>0000000
[6,8,4,3,2,7,1,5]=>[1,6,7,2,8,5,3,4]=>[1,7,5,3,8,6,2,4]=>[8,2,4,6,1,3,7,5]=>0000000
[5,1,3,2,8,6,7,4]=>[1,5,8,4,2,3,6,7]=>[1,4,2,8,5,3,6,7]=>[8,5,7,1,4,6,3,2]=>0000000
[5,3,1,2,8,6,7,4]=>[1,5,8,4,2,3,6,7]=>[1,4,2,8,5,3,6,7]=>[8,5,7,1,4,6,3,2]=>0000000
[5,3,2,1,8,6,7,4]=>[1,5,8,4,2,3,6,7]=>[1,4,2,8,5,3,6,7]=>[8,5,7,1,4,6,3,2]=>0000000
[2,7,4,5,8,3,1,6]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>0000000
[1,8,4,3,7,2,6,5]=>[1,2,8,5,7,6,3,4]=>[1,2,6,3,7,8,4,5]=>[8,7,3,6,2,1,5,4]=>0000000
[6,3,8,7,4,1,2,5]=>[1,6,2,3,8,5,4,7]=>[1,6,2,5,8,3,4,7]=>[8,3,7,4,1,6,5,2]=>0000000
[2,8,1,5,4,7,6,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[4,1,8,5,2,6,7,3]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[8,4,7,5,6,1,3,2]=>0000000
[2,7,1,8,5,4,6,3]=>[1,2,7,6,4,8,3,5]=>[1,2,8,6,3,7,4,5]=>[8,7,1,3,6,2,5,4]=>0000000
[1,3,2,7,5,8,6,4]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>0000000
[3,1,2,6,5,8,4,7]=>[1,3,2,4,6,8,7,5]=>[1,3,2,4,7,6,8,5]=>[8,6,7,5,2,3,1,4]=>0000000
[1,2,7,4,8,6,5,3]=>[1,2,3,7,5,8,4,6]=>[1,2,3,8,7,4,5,6]=>[8,7,6,1,2,5,4,3]=>0000000
[1,3,2,8,5,7,4,6]=>[1,2,3,4,8,6,7,5]=>[1,2,3,4,7,8,6,5]=>[8,7,6,5,2,1,3,4]=>0000000
[1,3,8,2,6,7,4,5]=>[1,2,3,8,5,6,7,4]=>[1,2,3,7,8,5,6,4]=>[8,7,6,2,1,4,3,5]=>0000000
[1,4,7,2,8,6,3,5]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[8,7,5,6,2,1,4,3]=>0000000
[1,3,7,4,2,8,6,5]=>[1,2,3,7,6,8,5,4]=>[1,2,3,5,8,7,6,4]=>[8,7,6,4,1,2,3,5]=>0000000
[1,2,7,8,5,3,6,4]=>[1,2,3,7,6,4,8,5]=>[1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>0000000
[1,5,7,8,6,2,3,4]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>[8,7,3,2,4,6,5,1]=>0000000
[1,2,6,8,7,5,3,4]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>0000000
[2,3,7,6,4,5,8,1]=>[1,2,3,7,8,4,6,5]=>[1,2,3,8,6,4,7,5]=>[8,7,6,1,3,5,2,4]=>0000000
[2,6,1,7,4,8,3,5]=>[1,2,6,8,5,4,7,3]=>[1,2,7,5,8,6,4,3]=>[8,7,2,4,1,3,5,6]=>0000000
[2,1,3,7,8,6,4,5]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>0000000
[1,2,3,8,6,7,4,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[2,1,3,6,8,7,4,5]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>0000000
[3,1,6,2,8,7,5,4]=>[1,3,6,7,5,8,4,2]=>[1,4,3,8,7,6,5,2]=>[8,5,6,1,2,3,4,7]=>0000000
[6,8,2,5,3,7,1,4]=>[1,6,7,2,8,4,5,3]=>[1,7,5,8,4,6,2,3]=>[8,2,4,1,5,3,7,6]=>0000000
[2,5,4,7,6,8,1,3]=>[1,2,5,6,8,3,4,7]=>[1,2,8,3,5,6,4,7]=>[8,7,1,6,4,3,5,2]=>0000000
[2,6,4,7,5,8,1,3]=>[1,2,6,8,3,4,7,5]=>[1,2,8,3,7,6,4,5]=>[8,7,1,6,2,3,5,4]=>0000000
[3,7,4,8,2,6,1,5]=>[1,3,4,8,5,2,7,6]=>[1,5,3,4,8,7,2,6]=>[8,4,6,5,1,2,7,3]=>0000000
[6,8,3,7,5,2,4,1]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[8,3,1,6,2,7,5,4]=>0000000
[7,6,2,8,4,1,5,3]=>[1,7,5,4,8,3,2,6]=>[1,3,8,5,7,2,4,6]=>[8,6,1,4,2,7,5,3]=>0000000
[6,8,3,7,4,5,2,1]=>[1,6,5,4,7,2,8,3]=>[1,7,8,5,6,4,2,3]=>[8,2,1,4,3,5,7,6]=>0000000
[5,7,8,3,6,2,1,4]=>[1,5,6,2,7,3,8,4]=>[1,6,7,8,5,2,3,4]=>[8,3,2,1,4,7,6,5]=>0000000
[5,6,7,3,4,1,8,2]=>[1,5,4,3,7,8,2,6]=>[1,8,4,5,3,2,7,6]=>[8,1,5,4,6,7,2,3]=>0000000
[5,3,8,2,4,1,6,7]=>[1,5,4,2,3,8,7,6]=>[1,4,2,5,3,7,8,6]=>[8,5,7,4,6,2,1,3]=>0000000
[6,4,3,7,8,5,2,1]=>[1,6,5,8,2,4,7,3]=>[1,8,7,2,6,5,4,3]=>[8,1,2,7,3,4,5,6]=>0000000
[6,3,5,4,7,8,2,1]=>[1,6,8,2,3,5,7,4]=>[1,8,2,7,3,6,5,4]=>[8,1,7,2,6,3,4,5]=>0000000
[5,3,4,7,2,6,1,8]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000
[7,1,5,8,4,2,3,6]=>[1,7,3,5,4,8,6,2]=>[1,6,8,5,2,7,4,3]=>[8,3,1,4,7,2,5,6]=>0000000
[7,1,5,4,8,2,3,6]=>[1,7,3,5,8,6,2,4]=>[1,6,8,3,2,7,5,4]=>[8,3,1,6,7,2,4,5]=>0000000
[6,1,2,3,8,7,5,4]=>[1,6,7,5,8,4,3,2]=>[1,3,4,8,7,6,5,2]=>[8,6,5,1,2,3,4,7]=>0000000
[7,8,2,1,4,6,3,5]=>[1,7,3,2,8,5,4,6]=>[1,3,7,5,8,4,2,6]=>[8,6,2,4,1,5,7,3]=>0000000
[1,2,8,5,7,3,4,6]=>[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>0000000
[1,3,6,2,5,7,8,4]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[8,7,6,1,5,3,2,4]=>0000000
[1,3,6,5,2,7,8,4]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[8,7,6,1,5,3,2,4]=>0000000
[1,2,6,4,3,8,5,7]=>[1,2,3,6,8,7,5,4]=>[1,2,3,5,7,6,8,4]=>[8,7,6,4,2,3,1,5]=>0000000
[1,2,6,3,5,8,7,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000
[1,2,7,3,6,8,5,4]=>[1,2,3,7,5,6,8,4]=>[1,2,3,8,7,5,6,4]=>[8,7,6,1,2,4,3,5]=>0000000
[3,5,7,4,8,2,1,6]=>[1,3,7,2,5,8,6,4]=>[1,7,3,6,2,8,5,4]=>[8,2,6,3,7,1,4,5]=>0000000
[1,3,6,8,5,2,4,7]=>[1,2,3,6,4,8,7,5]=>[1,2,3,6,7,4,8,5]=>[8,7,6,3,2,5,1,4]=>0000000
[1,2,6,8,5,4,3,7]=>[1,2,3,6,4,8,7,5]=>[1,2,3,6,7,4,8,5]=>[8,7,6,3,2,5,1,4]=>0000000
[1,4,6,8,3,2,5,7]=>[1,2,4,8,7,5,3,6]=>[1,2,5,4,7,3,8,6]=>[8,7,4,5,2,6,1,3]=>0000000
[2,3,6,5,8,1,7,4]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>0000000
[1,2,6,7,3,8,5,4]=>[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,4,5]=>[8,7,6,1,2,3,5,4]=>0000000
[1,2,7,4,6,8,5,3]=>[1,2,3,7,5,6,8,4]=>[1,2,3,8,7,5,6,4]=>[8,7,6,1,2,4,3,5]=>0000000
[3,1,6,7,5,8,4,2]=>[1,3,6,8,2,4,7,5]=>[1,8,3,2,7,6,4,5]=>[8,1,6,7,2,3,5,4]=>0000000
[5,7,1,2,8,6,4,3]=>[1,5,8,3,2,7,4,6]=>[1,3,8,7,5,4,2,6]=>[8,6,1,2,4,5,7,3]=>0000000
[2,6,3,4,7,1,5,8]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[4,7,6,2,3,8,1,5]=>[1,4,2,7,3,6,8,5]=>[1,4,7,2,8,3,6,5]=>[8,5,2,7,1,6,3,4]=>0000000
[5,3,1,2,8,4,7,6]=>[1,5,8,6,4,2,3,7]=>[1,4,2,6,5,8,3,7]=>[8,5,7,3,4,1,6,2]=>0000000
[6,3,2,8,4,5,7,1]=>[1,6,5,4,8,2,3,7]=>[1,8,2,5,6,4,3,7]=>[8,1,7,4,3,5,6,2]=>0000000
[8,2,1,7,3,4,5,6]=>[1,8,6,4,7,5,3,2]=>[1,3,5,7,6,8,2,4]=>[8,6,4,2,3,1,7,5]=>0000000
[8,6,3,7,2,4,5,1]=>[1,8,2,6,4,7,5,3]=>[1,8,5,7,6,2,3,4]=>[8,1,4,2,3,7,6,5]=>0000000
[8,2,7,3,4,5,6,1]=>[1,8,2,3,7,6,5,4]=>[1,8,2,5,6,7,3,4]=>[8,1,7,4,3,2,6,5]=>0000000
[8,1,7,3,4,5,6,2]=>[1,8,2,3,7,6,5,4]=>[1,8,2,5,6,7,3,4]=>[8,1,7,4,3,2,6,5]=>0000000
[6,4,5,8,7,1,2,3]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>0000000
[5,3,4,8,7,1,2,6]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[8,2,7,6,4,1,5,3]=>0000000
[7,8,3,6,2,4,5,1]=>[1,7,5,2,8,3,4,6]=>[1,5,7,2,8,4,3,6]=>[8,4,2,7,1,5,6,3]=>0000000
[1,5,8,7,2,3,6,4]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>[8,7,4,1,6,2,5,3]=>0000000
[1,3,4,7,6,2,8,5]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>0000000
[4,8,5,2,6,1,7,3]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>0000000
[8,1,3,6,2,7,5,4]=>[1,8,4,6,7,5,2,3]=>[1,5,2,7,8,3,6,4]=>[8,4,7,2,1,6,3,5]=>0000000
[1,2,4,7,3,8,6,5]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>0000000
[7,1,8,2,6,5,4,3]=>[1,7,4,2,3,8,5,6]=>[1,4,2,7,8,5,3,6]=>[8,5,7,2,1,4,6,3]=>0000000
[8,3,7,5,1,6,4,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>0000000
[8,4,6,7,1,5,3,2]=>[1,8,2,4,7,3,6,5]=>[1,8,7,2,6,3,4,5]=>[8,1,2,7,3,6,5,4]=>0000000
[7,3,5,1,2,8,6,4]=>[1,7,6,8,4,2,3,5]=>[1,4,2,8,3,7,6,5]=>[8,5,7,1,6,2,3,4]=>0000000
[1,3,2,7,4,8,6,5]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>0000000
[5,6,7,1,2,8,4,3]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>[8,4,1,2,7,3,6,5]=>0000000
[4,8,5,1,2,7,6,3]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>0000000
[1,8,2,7,4,3,5,6]=>[1,2,8,6,3,4,7,5]=>[1,2,6,3,8,7,5,4]=>[8,7,3,6,1,2,4,5]=>0000000
[1,8,6,4,7,2,3,5]=>[1,2,8,5,7,3,6,4]=>[1,2,7,6,8,3,5,4]=>[8,7,2,3,1,6,4,5]=>0000000
[4,1,7,2,6,3,5,8]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000
[5,1,7,4,3,6,2,8]=>[1,5,3,7,2,4,6,8]=>[1,7,5,2,3,4,6,8]=>[8,2,4,7,6,5,3,1]=>0000000
[1,8,5,4,3,7,2,6]=>[1,2,8,6,7,3,5,4]=>[1,2,7,5,3,8,6,4]=>[8,7,2,4,6,1,3,5]=>0000000
[7,3,8,1,5,6,2,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[8,2,7,1,5,4,6,3]=>0000000
[6,5,1,7,3,8,2,4]=>[1,6,8,4,7,2,5,3]=>[1,7,5,8,2,6,4,3]=>[8,2,4,1,7,3,5,6]=>0000000
[5,4,3,8,1,6,2,7]=>[1,5,2,4,8,7,3,6]=>[1,5,7,2,4,3,8,6]=>[8,4,2,7,5,6,1,3]=>0000000
[5,4,3,1,6,7,2,8]=>[1,5,6,7,2,4,3,8]=>[1,7,4,2,5,6,3,8]=>[8,2,5,7,4,3,6,1]=>0000000
[5,4,2,6,3,8,7,1]=>[1,5,3,2,4,6,8,7]=>[1,3,5,2,4,6,8,7]=>[8,6,4,7,5,3,1,2]=>0000000
[6,2,7,3,1,4,5,8]=>[1,6,4,3,7,5,2,8]=>[1,5,4,7,6,2,3,8]=>[8,4,5,2,3,7,6,1]=>0000000
[1,6,7,3,2,4,5,8]=>[1,2,6,4,3,7,5,8]=>[1,2,4,6,7,3,5,8]=>[8,7,5,3,2,6,4,1]=>0000000
[6,1,7,3,2,4,5,8]=>[1,6,4,3,7,5,2,8]=>[1,5,4,7,6,2,3,8]=>[8,4,5,2,3,7,6,1]=>0000000
[7,3,4,1,6,5,2,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[4,3,1,7,2,6,8,5]=>[1,4,7,8,5,2,3,6]=>[1,5,2,4,8,3,7,6]=>[8,4,7,5,1,6,2,3]=>0000000
[2,3,4,5,8,6,1,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[4,3,1,7,6,5,8,2]=>[1,4,7,8,2,3,5,6]=>[1,8,2,4,3,5,7,6]=>[8,1,7,5,6,4,2,3]=>0000000
[3,7,5,2,6,8,1,4]=>[1,3,5,6,8,4,2,7]=>[1,4,3,8,5,6,2,7]=>[8,5,6,1,4,3,7,2]=>0000000
[6,3,5,2,4,7,8,1]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>[8,1,7,4,6,3,2,5]=>0000000
[7,1,5,2,6,8,3,4]=>[1,7,3,5,6,8,4,2]=>[1,4,8,7,2,5,6,3]=>[8,5,1,2,7,4,3,6]=>0000000
[7,3,2,5,6,8,1,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[7,3,4,5,8,1,2,6]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>0000000
[1,3,4,5,8,6,2,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[7,3,2,5,6,8,4,1]=>[1,7,4,5,6,8,2,3]=>[1,8,2,7,4,5,6,3]=>[8,1,7,2,5,4,3,6]=>0000000
[5,7,4,6,1,8,3,2]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[3,2,1,5,7,8,4,6]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[2,7,3,1,5,6,4,8]=>[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000
[2,4,7,1,8,5,3,6]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[8,7,5,6,2,1,4,3]=>0000000
[6,2,1,7,3,4,8,5]=>[1,6,4,7,8,5,3,2]=>[1,3,5,8,6,2,7,4]=>[8,6,4,1,3,7,2,5]=>0000000
[2,1,8,3,7,4,5,6]=>[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>0000000
[2,4,8,5,1,6,7,3]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>[8,7,4,5,6,1,3,2]=>0000000
[3,2,1,8,4,5,6,7]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,6,7,8,5]=>[8,6,7,5,3,2,1,4]=>0000000
[1,2,4,8,3,6,7,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[5,3,8,4,7,6,1,2]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[8,2,7,1,4,5,6,3]=>0000000
[5,8,1,2,3,7,6,4]=>[1,5,3,2,8,4,6,7]=>[1,3,5,8,2,4,6,7]=>[8,6,4,1,7,5,3,2]=>0000000
[1,2,6,3,8,5,4,7]=>[1,2,3,6,5,8,7,4]=>[1,2,3,7,6,5,8,4]=>[8,7,6,2,3,4,1,5]=>0000000
[1,6,4,2,7,3,5,8]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[3,1,7,8,6,2,4,5]=>[1,3,7,4,8,5,6,2]=>[1,6,3,7,8,5,4,2]=>[8,3,6,2,1,4,5,7]=>0000000
[1,8,7,3,5,6,2,4]=>[1,2,8,4,3,7,5,6]=>[1,2,4,8,7,5,3,6]=>[8,7,5,1,2,4,6,3]=>0000000
[1,2,8,4,3,7,5,6]=>[1,2,3,8,6,7,5,4]=>[1,2,3,5,7,8,6,4]=>[8,7,6,4,2,1,3,5]=>0000000
[8,5,1,7,2,4,6,3]=>[1,8,3,2,5,4,7,6]=>[1,3,8,5,2,7,4,6]=>[8,6,1,4,7,2,5,3]=>0000000
[1,2,6,3,7,5,4,8]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>0000000
[2,4,7,3,8,1,5,6]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[8,7,5,6,2,1,4,3]=>0000000
[5,4,7,3,8,1,6,2]=>[1,5,8,2,4,3,7,6]=>[1,8,4,2,5,7,3,6]=>[8,1,5,7,4,2,6,3]=>0000000
[5,4,7,2,8,1,3,6]=>[1,5,8,6,2,4,3,7]=>[1,6,4,2,5,8,3,7]=>[8,3,5,7,4,1,6,2]=>0000000
[4,6,7,8,1,3,5,2]=>[1,4,8,2,6,3,7,5]=>[1,8,6,4,7,2,3,5]=>[8,1,3,5,2,7,6,4]=>0000000
[4,6,7,8,1,5,2,3]=>[1,4,8,3,7,2,6,5]=>[1,7,8,4,6,2,3,5]=>[8,2,1,5,3,7,6,4]=>0000000
[4,5,8,3,6,7,1,2]=>[1,4,3,8,2,5,6,7]=>[1,8,4,3,2,5,6,7]=>[8,1,5,6,7,4,3,2]=>0000000
[7,6,5,1,2,4,8,3]=>[1,7,8,3,5,2,6,4]=>[1,5,8,6,3,2,7,4]=>[8,4,1,3,6,7,2,5]=>0000000
[3,6,4,2,1,7,5,8]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>0000000
[3,5,6,4,1,8,7,2]=>[1,3,6,8,2,5,4,7]=>[1,8,3,5,2,6,4,7]=>[8,1,6,4,7,3,5,2]=>0000000
[2,6,4,5,1,3,7,8]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[7,6,5,1,8,2,3,4]=>[1,7,3,5,8,4,2,6]=>[1,4,8,7,2,3,5,6]=>[8,5,1,2,7,6,4,3]=>0000000
[7,6,5,1,8,3,2,4]=>[1,7,2,6,3,5,8,4]=>[1,7,6,8,3,2,5,4]=>[8,2,3,1,6,7,4,5]=>0000000
[7,6,5,1,4,8,2,3]=>[1,7,2,6,8,3,5,4]=>[1,7,8,5,3,2,6,4]=>[8,2,1,4,6,7,3,5]=>0000000
[2,5,6,4,1,7,8,3]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[8,7,4,1,6,3,2,5]=>0000000
[4,7,3,5,6,2,1,8]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>0000000
[3,8,1,5,2,7,6,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>0000000
[8,2,1,5,3,7,6,4]=>[1,8,4,5,3,2,6,7]=>[1,3,5,8,4,2,6,7]=>[8,6,4,1,5,7,3,2]=>0000000
[7,6,4,3,1,2,8,5]=>[1,7,8,5,2,6,3,4]=>[1,5,8,2,6,3,7,4]=>[8,4,1,7,3,6,2,5]=>0000000
[5,2,3,1,6,7,8,4]=>[1,5,6,7,8,4,2,3]=>[1,4,2,8,5,6,7,3]=>[8,5,7,1,4,3,2,6]=>0000000
[1,5,3,2,6,7,8,4]=>[1,2,5,6,7,8,4,3]=>[1,2,4,8,5,6,7,3]=>[8,7,5,1,4,3,2,6]=>0000000
[1,7,4,6,2,3,8,5]=>[1,2,7,8,5,3,4,6]=>[1,2,5,3,8,4,7,6]=>[8,7,4,6,1,5,2,3]=>0000000
[5,7,4,6,1,3,8,2]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[8,4,1,6,7,5,2,3]=>0000000
[8,6,4,7,3,1,2,5]=>[1,8,5,3,4,7,2,6]=>[1,7,5,3,8,2,4,6]=>[8,2,4,6,1,7,5,3]=>0000000
[6,7,4,1,5,3,8,2]=>[1,6,3,4,2,7,8,5]=>[1,4,6,3,8,2,7,5]=>[8,5,3,6,1,7,2,4]=>0000000
[8,6,1,5,4,7,2,3]=>[1,8,3,2,6,7,4,5]=>[1,3,8,7,4,2,6,5]=>[8,6,1,2,5,7,3,4]=>0000000
[3,6,7,4,5,8,2,1]=>[1,3,7,2,6,8,4,5]=>[1,7,3,8,4,2,6,5]=>[8,2,6,1,5,7,3,4]=>0000000
[3,5,8,4,6,7,2,1]=>[1,3,8,2,5,6,7,4]=>[1,8,3,7,2,5,6,4]=>[8,1,6,2,7,4,3,5]=>0000000
[3,8,1,5,4,6,7,2]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>0000000
[5,4,7,2,8,3,1,6]=>[1,5,8,6,3,7,2,4]=>[1,7,6,2,5,8,3,4]=>[8,2,3,7,4,1,6,5]=>0000000
[5,4,7,2,8,3,6,1]=>[1,5,8,2,4,3,7,6]=>[1,8,4,2,5,7,3,6]=>[8,1,5,7,4,2,6,3]=>0000000
[5,8,1,4,6,3,2,7]=>[1,5,6,3,2,8,7,4]=>[1,3,6,7,5,2,8,4]=>[8,6,3,2,4,7,1,5]=>0000000
[3,6,1,5,4,8,2,7]=>[1,3,2,6,8,7,4,5]=>[1,3,2,7,4,6,8,5]=>[8,6,7,2,5,3,1,4]=>0000000
[3,4,1,2,7,6,5,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[7,8,1,4,5,3,2,6]=>[1,7,2,8,6,3,4,5]=>[1,7,6,3,4,8,2,5]=>[8,2,3,6,5,1,7,4]=>0000000
[3,8,1,5,4,7,2,6]=>[1,3,2,8,6,7,4,5]=>[1,3,2,7,4,8,6,5]=>[8,6,7,2,5,1,3,4]=>0000000
[6,7,3,1,4,5,2,8]=>[1,6,5,4,2,7,3,8]=>[1,4,5,6,7,2,3,8]=>[8,5,4,3,2,7,6,1]=>0000000
[5,8,1,4,7,3,6,2]=>[1,5,7,6,3,2,8,4]=>[1,3,6,7,5,8,4,2]=>[8,6,3,2,4,1,5,7]=>0000000
[6,3,7,1,4,8,5,2]=>[1,6,8,2,3,7,5,4]=>[1,8,2,5,7,6,3,4]=>[8,1,7,4,2,3,6,5]=>0000000
[3,7,1,5,4,8,6,2]=>[1,3,2,7,6,8,4,5]=>[1,3,2,8,4,7,6,5]=>[8,6,7,1,5,2,3,4]=>0000000
[2,3,6,4,8,1,5,7]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>0000000
[2,7,6,1,8,5,3,4]=>[1,2,7,3,6,5,8,4]=>[1,2,7,8,6,3,5,4]=>[8,7,2,1,3,6,4,5]=>0000000
[1,8,4,5,2,7,6,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[2,7,6,4,8,5,1,3]=>[1,2,7,3,6,5,8,4]=>[1,2,7,8,6,3,5,4]=>[8,7,2,1,3,6,4,5]=>0000000
[2,3,1,8,6,4,7,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[2,3,1,8,6,4,5,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[2,7,6,4,8,5,3,1]=>[1,2,7,3,6,5,8,4]=>[1,2,7,8,6,3,5,4]=>[8,7,2,1,3,6,4,5]=>0000000
[2,3,4,6,5,8,1,7]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>0000000
[2,3,4,7,1,6,8,5]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>0000000
[1,8,4,5,2,3,6,7]=>[1,2,8,7,6,3,4,5]=>[1,2,6,3,4,7,8,5]=>[8,7,3,6,5,2,1,4]=>0000000
[3,4,8,7,5,2,6,1]=>[1,3,8,2,4,7,6,5]=>[1,8,3,2,6,7,4,5]=>[8,1,6,7,3,2,5,4]=>0000000
[1,8,2,6,3,4,7,5]=>[1,2,8,5,3,4,6,7]=>[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>0000000
[7,5,4,1,3,8,2,6]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[8,2,4,6,7,5,3,1]=>0000000
[1,7,2,3,5,8,4,6]=>[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000
[8,5,4,7,1,3,2,6]=>[1,8,6,3,4,7,2,5]=>[1,7,6,3,2,8,4,5]=>[8,2,3,6,7,1,5,4]=>0000000
[2,3,1,8,5,4,6,7]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>0000000
[8,5,1,7,6,3,4,2]=>[1,8,2,5,6,3,4,7]=>[1,8,6,3,2,5,4,7]=>[8,1,3,6,7,4,5,2]=>0000000
[6,8,3,1,7,2,4,5]=>[1,6,2,8,5,7,4,3]=>[1,6,4,7,8,2,5,3]=>[8,3,5,2,1,7,4,6]=>0000000
[2,7,5,3,8,4,1,6]=>[1,2,7,3,5,8,6,4]=>[1,2,7,6,3,8,5,4]=>[8,7,2,3,6,1,4,5]=>0000000
[8,3,2,1,5,7,4,6]=>[1,8,6,7,4,2,3,5]=>[1,4,2,7,3,8,6,5]=>[8,5,7,2,6,1,3,4]=>0000000
[2,8,3,6,4,7,1,5]=>[1,2,8,5,4,6,7,3]=>[1,2,7,5,8,4,6,3]=>[8,7,2,4,1,5,3,6]=>0000000
[8,3,6,4,7,1,2,5]=>[1,8,5,7,2,3,6,4]=>[1,7,2,6,8,3,5,4]=>[8,2,7,3,1,6,4,5]=>0000000
[1,8,3,2,5,7,4,6]=>[1,2,8,6,7,4,3,5]=>[1,2,4,7,3,8,6,5]=>[8,7,5,2,6,1,3,4]=>0000000
[6,5,1,7,4,2,8,3]=>[1,6,2,5,4,7,8,3]=>[1,6,8,5,2,4,7,3]=>[8,3,1,4,7,5,2,6]=>0000000
[6,1,7,3,4,2,8,5]=>[1,6,2,3,7,8,5,4]=>[1,6,2,5,8,3,7,4]=>[8,3,7,4,1,6,2,5]=>0000000
[7,3,8,1,6,5,2,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[8,2,7,1,5,4,6,3]=>0000000
[8,3,7,1,6,5,2,4]=>[1,8,4,2,3,7,5,6]=>[1,4,2,8,7,5,3,6]=>[8,5,7,1,2,4,6,3]=>0000000
[2,8,1,7,6,5,3,4]=>[1,2,8,4,7,3,5,6]=>[1,2,7,8,3,5,4,6]=>[8,7,2,1,6,4,5,3]=>0000000
[4,2,8,6,5,1,7,3]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[8,3,7,5,1,6,4,2]=>0000000
[8,6,4,7,1,5,2,3]=>[1,8,3,4,7,2,6,5]=>[1,7,8,3,6,2,4,5]=>[8,2,1,6,3,7,5,4]=>0000000
[5,1,6,4,2,3,8,7]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>0000000
[2,4,3,7,1,6,8,5]=>[1,2,4,7,8,5,3,6]=>[1,2,5,4,8,3,7,6]=>[8,7,4,5,1,6,2,3]=>0000000
[4,2,3,7,8,5,1,6]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>[8,2,7,5,6,1,4,3]=>0000000
[5,1,6,4,2,3,7,8]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>0000000
[5,8,7,6,1,4,2,3]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>0000000
[8,6,5,7,1,4,2,3]=>[1,8,3,5,2,6,4,7]=>[1,5,8,6,3,2,4,7]=>[8,4,1,3,6,7,5,2]=>0000000
[8,4,7,6,1,5,2,3]=>[1,8,3,7,2,4,6,5]=>[1,7,8,2,6,4,3,5]=>[8,2,1,7,3,5,6,4]=>0000000
[8,3,2,4,7,1,5,6]=>[1,8,6,2,3,4,5,7]=>[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>0000000
[2,4,7,1,5,8,6,3]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>0000000
[8,5,6,7,1,4,2,3]=>[1,8,3,6,4,7,2,5]=>[1,7,8,6,2,3,4,5]=>[8,2,1,3,7,6,5,4]=>0000000
[7,8,6,5,1,4,2,3]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[8,2,1,3,5,6,7,4]=>0000000
[5,4,1,3,6,7,2,8]=>[1,5,6,7,2,4,3,8]=>[1,7,4,2,5,6,3,8]=>[8,2,5,7,4,3,6,1]=>0000000
[7,1,5,3,8,4,2,6]=>[1,7,2,3,5,8,6,4]=>[1,7,2,6,3,8,5,4]=>[8,2,7,3,6,1,4,5]=>0000000
[6,8,3,1,5,4,2,7]=>[1,6,4,2,8,7,3,5]=>[1,4,6,7,2,3,8,5]=>[8,5,3,2,7,6,1,4]=>0000000
[3,6,2,1,5,8,4,7]=>[1,3,2,6,8,7,4,5]=>[1,3,2,7,4,6,8,5]=>[8,6,7,2,5,3,1,4]=>0000000
[7,1,3,2,8,6,4,5]=>[1,7,4,2,3,5,8,6]=>[1,4,2,7,3,8,5,6]=>[8,5,7,2,6,1,4,3]=>0000000
[8,3,1,4,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000
[7,5,1,6,3,4,8,2]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[8,1,4,6,7,5,2,3]=>0000000
[7,1,5,8,4,3,6,2]=>[1,7,6,3,5,4,8,2]=>[1,8,6,5,3,7,4,2]=>[8,1,3,4,6,2,5,7]=>0000000
[8,3,1,5,4,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000
[2,6,7,1,4,5,3,8]=>[1,2,6,5,4,3,7,8]=>[1,2,4,5,6,3,7,8]=>[8,7,5,4,3,6,2,1]=>0000000
[3,5,1,7,4,6,8,2]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>0000000
[5,3,7,2,8,4,1,6]=>[1,5,8,6,4,2,3,7]=>[1,4,2,6,5,8,3,7]=>[8,5,7,3,4,1,6,2]=>0000000
[7,2,4,5,8,3,1,6]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>0000000
[5,8,4,3,6,1,2,7]=>[1,5,6,2,8,7,3,4]=>[1,6,7,3,5,2,8,4]=>[8,3,2,6,4,7,1,5]=>0000000
[5,3,8,4,1,7,2,6]=>[1,5,2,3,8,6,7,4]=>[1,5,2,7,3,8,6,4]=>[8,4,7,2,6,1,3,5]=>0000000
[1,4,8,3,6,7,5,2]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[4,3,8,2,1,7,5,6]=>[1,4,2,3,8,6,7,5]=>[1,4,2,3,7,8,6,5]=>[8,5,7,6,2,1,3,4]=>0000000
[3,8,1,5,6,7,4,2]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>0000000
[3,8,2,5,6,7,1,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>0000000
[8,2,1,5,6,7,4,3]=>[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>0000000
[8,1,3,5,6,7,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000
[4,3,1,8,5,7,6,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>0000000
[8,3,5,2,1,7,4,6]=>[1,8,6,7,4,2,3,5]=>[1,4,2,7,3,8,6,5]=>[8,5,7,2,6,1,3,4]=>0000000
[1,2,8,5,6,7,3,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[6,2,4,3,8,7,5,1]=>[1,6,7,5,8,2,3,4]=>[1,8,2,3,7,6,5,4]=>[8,1,7,6,2,3,4,5]=>0000000
[7,3,5,4,1,8,6,2]=>[1,7,6,8,2,3,5,4]=>[1,8,2,5,3,7,6,4]=>[8,1,7,4,6,2,3,5]=>0000000
[3,7,1,8,4,5,2,6]=>[1,3,2,7,4,8,6,5]=>[1,3,2,7,6,8,4,5]=>[8,6,7,2,3,1,5,4]=>0000000
[2,7,6,8,3,1,4,5]=>[1,2,7,4,8,5,3,6]=>[1,2,5,8,7,4,3,6]=>[8,7,4,1,2,5,6,3]=>0000000
[7,3,2,4,8,6,5,1]=>[1,7,5,8,2,3,4,6]=>[1,8,2,3,7,4,5,6]=>[8,1,7,6,2,5,4,3]=>0000000
[7,3,4,2,6,8,1,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[3,6,7,5,2,4,8,1]=>[1,3,7,8,2,6,4,5]=>[1,8,3,6,4,2,7,5]=>[8,1,6,3,5,7,2,4]=>0000000
[4,2,1,7,3,6,8,5]=>[1,4,7,8,5,3,2,6]=>[1,3,5,4,8,2,7,6]=>[8,6,4,5,1,7,2,3]=>0000000
[3,7,8,6,2,4,5,1]=>[1,3,8,2,7,5,4,6]=>[1,8,3,5,7,4,2,6]=>[8,1,6,4,2,5,7,3]=>0000000
[2,6,1,5,4,7,8,3]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[8,7,1,6,5,3,2,4]=>0000000
[2,3,6,8,4,1,5,7]=>[1,2,3,6,4,8,7,5]=>[1,2,3,6,7,4,8,5]=>[8,7,6,3,2,5,1,4]=>0000000
[2,5,3,8,4,7,6,1]=>[1,2,5,4,8,3,6,7]=>[1,2,8,5,4,3,6,7]=>[8,7,1,4,5,6,3,2]=>0000000
[8,3,6,1,4,5,7,2]=>[1,8,2,3,6,5,4,7]=>[1,8,2,5,6,3,4,7]=>[8,1,7,4,3,6,5,2]=>0000000
[8,3,7,6,1,4,5,2]=>[1,8,2,3,7,5,4,6]=>[1,8,2,5,7,4,3,6]=>[8,1,7,4,2,5,6,3]=>0000000
[4,8,1,7,2,3,6,5]=>[1,4,7,6,3,2,8,5]=>[1,3,6,4,7,8,5,2]=>[8,6,3,5,2,1,4,7]=>0000000
[4,1,7,2,3,6,5,8]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000
[7,8,3,6,1,4,5,2]=>[1,7,5,2,8,3,4,6]=>[1,5,7,2,8,4,3,6]=>[8,4,2,7,1,5,6,3]=>0000000
[6,4,1,2,8,5,7,3]=>[1,6,5,8,3,2,4,7]=>[1,3,8,2,6,5,4,7]=>[8,6,1,7,3,4,5,2]=>0000000
[4,8,1,5,2,7,3,6]=>[1,4,5,2,8,6,7,3]=>[1,5,7,4,2,8,6,3]=>[8,4,2,5,7,1,3,6]=>0000000
[8,6,7,4,1,2,5,3]=>[1,8,3,7,5,2,6,4]=>[1,5,7,8,6,3,4,2]=>[8,4,2,1,3,6,5,7]=>0000000
[8,6,5,1,2,3,7,4]=>[1,8,4,2,6,3,5,7]=>[1,4,8,6,2,3,5,7]=>[8,5,1,3,7,6,4,2]=>0000000
[1,7,5,3,2,8,4,6]=>[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000
[1,3,8,2,6,5,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[1,2,5,7,6,3,4,8]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>0000000
[6,7,5,2,1,8,4,3]=>[1,6,8,3,5,2,7,4]=>[1,5,8,7,3,6,2,4]=>[8,4,1,2,6,3,7,5]=>0000000
[7,1,3,5,4,8,2,6]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[1,4,5,7,3,8,6,2]=>[1,2,4,7,6,8,3,5]=>[1,2,8,4,3,7,6,5]=>[8,7,1,5,6,2,3,4]=>0000000
[1,5,3,6,7,8,4,2]=>[1,2,5,7,4,6,8,3]=>[1,2,8,7,5,4,6,3]=>[8,7,1,2,4,5,3,6]=>0000000
[6,7,2,4,8,1,5,3]=>[1,6,2,7,5,8,3,4]=>[1,6,8,3,7,2,5,4]=>[8,3,1,6,2,7,4,5]=>0000000
[5,2,3,6,7,8,4,1]=>[1,5,7,4,6,8,2,3]=>[1,8,2,7,5,4,6,3]=>[8,1,7,2,4,5,3,6]=>0000000
[6,4,2,7,1,8,3,5]=>[1,6,8,5,2,4,7,3]=>[1,5,8,3,7,6,4,2]=>[8,4,1,6,2,3,5,7]=>0000000
[6,7,8,3,2,5,1,4]=>[1,6,5,2,7,3,8,4]=>[1,5,6,7,8,3,4,2]=>[8,4,3,2,1,6,5,7]=>0000000
[6,2,4,7,1,8,5,3]=>[1,6,8,3,4,7,5,2]=>[1,5,7,2,8,6,4,3]=>[8,4,2,7,1,3,5,6]=>0000000
[1,3,7,8,5,2,6,4]=>[1,2,3,7,6,4,8,5]=>[1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>0000000
[1,6,4,7,8,2,5,3]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>0000000
[8,6,4,7,5,2,3,1]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[8,1,3,6,2,7,5,4]=>0000000
[8,2,6,7,4,5,3,1]=>[1,8,2,3,6,5,4,7]=>[1,8,2,5,6,3,4,7]=>[8,1,7,4,3,6,5,2]=>0000000
[8,6,7,2,4,5,3,1]=>[1,8,2,6,5,4,3,7]=>[1,8,4,5,6,2,3,7]=>[8,1,5,4,3,7,6,2]=>0000000
[6,4,5,8,7,2,3,1]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>0000000
[8,6,7,4,2,5,3,1]=>[1,8,2,6,5,3,7,4]=>[1,8,5,6,7,2,4,3]=>[8,1,4,3,2,7,5,6]=>0000000
[8,4,6,7,2,5,3,1]=>[1,8,2,4,7,3,6,5]=>[1,8,7,2,6,3,4,5]=>[8,1,2,7,3,6,5,4]=>0000000
[4,6,5,8,7,2,3,1]=>[1,4,8,2,6,3,5,7]=>[1,8,6,4,3,2,5,7]=>[8,1,3,5,6,7,4,2]=>0000000
[4,6,8,2,7,5,3,1]=>[1,4,2,6,5,7,3,8]=>[1,4,7,2,6,5,3,8]=>[8,5,2,7,3,4,6,1]=>0000000
[2,6,8,4,7,5,3,1]=>[1,2,6,5,7,3,8,4]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>0000000
[4,6,8,7,2,5,3,1]=>[1,4,7,3,8,2,6,5]=>[1,8,7,4,6,2,3,5]=>[8,1,2,5,3,7,6,4]=>0000000
[4,6,5,8,2,7,3,1]=>[1,4,8,2,6,7,3,5]=>[1,8,7,4,3,2,6,5]=>[8,1,2,5,6,7,3,4]=>0000000
[2,1,8,6,4,7,5,3]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[8,7,6,1,2,5,3,4]=>0000000
[2,8,6,4,7,5,3,1]=>[1,2,8,3,6,5,7,4]=>[1,2,8,7,6,3,5,4]=>[8,7,1,2,3,6,4,5]=>0000000
[4,7,8,1,3,2,6,5]=>[1,4,2,7,6,3,8,5]=>[1,4,6,2,7,8,5,3]=>[8,5,3,7,2,1,4,6]=>0000000
[4,7,8,2,1,3,6,5]=>[1,4,2,7,6,3,8,5]=>[1,4,6,2,7,8,5,3]=>[8,5,3,7,2,1,4,6]=>0000000
[5,1,2,4,3,8,7,6]=>[1,5,3,2,4,6,8,7]=>[1,3,5,2,4,6,8,7]=>[8,6,4,7,5,3,1,2]=>0000000
[3,5,2,4,8,7,1,6]=>[1,3,2,5,8,6,7,4]=>[1,3,2,7,5,8,6,4]=>[8,6,7,2,4,1,3,5]=>0000000
[4,1,3,5,8,2,7,6]=>[1,4,5,8,6,2,3,7]=>[1,6,2,4,5,8,3,7]=>[8,3,7,5,4,1,6,2]=>0000000
[2,4,6,8,3,7,5,1]=>[1,2,4,8,3,6,7,5]=>[1,2,8,4,7,3,6,5]=>[8,7,1,5,2,6,3,4]=>0000000
[5,3,1,4,2,8,7,6]=>[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>0000000
[5,1,3,4,2,8,7,6]=>[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>0000000
[4,3,2,5,8,1,7,6]=>[1,4,5,8,6,2,3,7]=>[1,6,2,4,5,8,3,7]=>[8,3,7,5,4,1,6,2]=>0000000
[3,2,4,5,8,7,1,6]=>[1,3,4,5,8,6,7,2]=>[1,7,3,4,5,8,6,2]=>[8,2,6,5,4,1,3,7]=>0000000
[4,2,3,5,8,1,7,6]=>[1,4,5,8,6,2,3,7]=>[1,6,2,4,5,8,3,7]=>[8,3,7,5,4,1,6,2]=>0000000
[3,7,4,2,1,5,6,8]=>[1,3,4,2,7,6,5,8]=>[1,4,3,2,6,7,5,8]=>[8,5,6,7,3,2,4,1]=>0000000
[4,3,7,1,6,8,5,2]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000
[4,3,6,7,5,1,2,8]=>[1,4,7,2,3,6,5,8]=>[1,7,2,4,6,3,5,8]=>[8,2,7,5,3,6,4,1]=>0000000
[4,3,7,1,6,8,2,5]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000
[2,8,7,4,5,3,1,6]=>[1,2,8,6,3,7,4,5]=>[1,2,6,8,3,7,4,5]=>[8,7,3,1,6,2,5,4]=>0000000
[5,8,7,6,1,2,4,3]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>0000000
[4,1,7,2,6,8,5,3]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000
[3,8,2,1,4,6,7,5]=>[1,3,2,8,5,4,6,7]=>[1,3,2,5,8,4,6,7]=>[8,6,7,4,1,5,3,2]=>0000000
[3,8,2,5,4,6,7,1]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>0000000
[4,2,6,7,5,3,1,8]=>[1,4,7,2,3,6,5,8]=>[1,7,2,4,6,3,5,8]=>[8,2,7,5,3,6,4,1]=>0000000
[2,8,7,3,4,5,1,6]=>[1,2,8,6,5,4,3,7]=>[1,2,4,5,6,8,3,7]=>[8,7,5,4,3,1,6,2]=>0000000
[5,8,7,6,1,3,4,2]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>0000000
[5,8,7,6,2,3,4,1]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>0000000
[2,8,7,5,4,3,1,6]=>[1,2,8,6,3,7,4,5]=>[1,2,6,8,3,7,4,5]=>[8,7,3,1,6,2,5,4]=>0000000
[2,7,1,5,4,3,6,8]=>[1,2,7,6,3,4,5,8]=>[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>0000000
[2,7,1,4,5,3,6,8]=>[1,2,7,6,3,4,5,8]=>[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>0000000
[2,6,4,1,5,3,7,8]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[5,6,2,1,3,7,4,8]=>[1,5,3,2,6,7,4,8]=>[1,3,5,7,2,6,4,8]=>[8,6,4,2,7,3,5,1]=>0000000
[2,4,6,1,5,3,7,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[4,7,1,3,5,2,6,8]=>[1,4,3,2,7,6,5,8]=>[1,3,4,2,6,7,5,8]=>[8,6,5,7,3,2,4,1]=>0000000
[5,7,6,4,1,3,8,2]=>[1,5,2,7,8,3,6,4]=>[1,5,8,6,2,3,7,4]=>[8,4,1,3,7,6,2,5]=>0000000
[8,5,2,7,1,6,4,3]=>[1,8,3,2,5,4,7,6]=>[1,3,8,5,2,7,4,6]=>[8,6,1,4,7,2,5,3]=>0000000
[5,8,6,4,1,2,7,3]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[8,4,1,3,7,6,5,2]=>0000000
[5,8,7,3,2,6,4,1]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>0000000
[8,1,7,2,5,6,3,4]=>[1,8,4,2,3,7,5,6]=>[1,4,2,8,7,5,3,6]=>[8,5,7,1,2,4,6,3]=>0000000
[6,8,7,2,5,1,3,4]=>[1,6,2,8,4,3,7,5]=>[1,6,4,8,7,2,3,5]=>[8,3,5,1,2,7,6,4]=>0000000
[8,6,7,1,5,2,3,4]=>[1,8,4,2,6,3,7,5]=>[1,4,8,6,7,3,2,5]=>[8,5,1,3,2,6,7,4]=>0000000
[6,1,7,8,5,2,3,4]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>0000000
[7,1,3,5,8,6,2,4]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>0000000
[6,4,5,8,3,2,7,1]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>0000000
[5,8,2,4,3,6,7,1]=>[1,5,3,2,8,4,6,7]=>[1,3,5,8,2,4,6,7]=>[8,6,4,1,7,5,3,2]=>0000000
[2,7,8,6,1,4,3,5]=>[1,2,7,3,8,5,4,6]=>[1,2,7,5,8,4,3,6]=>[8,7,2,4,1,5,6,3]=>0000000
[2,7,3,8,1,6,4,5]=>[1,2,7,4,8,5,3,6]=>[1,2,5,8,7,4,3,6]=>[8,7,4,1,2,5,6,3]=>0000000
[7,5,1,8,2,4,6,3]=>[1,7,6,4,8,3,2,5]=>[1,3,8,6,2,7,4,5]=>[8,6,1,3,7,2,5,4]=>0000000
[2,7,8,4,1,6,3,5]=>[1,2,7,3,8,5,4,6]=>[1,2,7,5,8,4,3,6]=>[8,7,2,4,1,5,6,3]=>0000000
[4,8,2,5,7,6,3,1]=>[1,4,5,7,3,2,8,6]=>[1,3,7,4,5,8,2,6]=>[8,6,2,5,4,1,7,3]=>0000000
[2,4,7,6,5,8,1,3]=>[1,2,4,6,8,3,7,5]=>[1,2,8,4,7,6,3,5]=>[8,7,1,5,2,3,6,4]=>0000000
[4,8,5,1,6,7,2,3]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>0000000
[8,3,5,4,6,7,1,2]=>[1,8,2,3,5,6,7,4]=>[1,8,2,7,3,5,6,4]=>[8,1,7,2,6,4,3,5]=>0000000
[4,7,6,8,3,2,5,1]=>[1,4,8,2,7,5,3,6]=>[1,8,5,4,7,3,2,6]=>[8,1,4,5,2,6,7,3]=>0000000
[3,4,8,7,5,1,6,2]=>[1,3,8,2,4,7,6,5]=>[1,8,3,2,6,7,4,5]=>[8,1,6,7,3,2,5,4]=>0000000
[4,2,8,1,6,7,3,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[2,4,8,1,6,7,3,5]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[3,8,1,4,6,7,2,5]=>[1,3,2,8,5,6,7,4]=>[1,3,2,7,8,5,6,4]=>[8,6,7,2,1,4,3,5]=>0000000
[1,6,4,5,2,3,7,8]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[1,7,4,5,2,3,6,8]=>[1,2,7,6,3,4,5,8]=>[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>0000000
[1,4,2,8,5,7,3,6]=>[1,2,4,8,6,7,3,5]=>[1,2,7,4,3,8,6,5]=>[8,7,2,5,6,1,3,4]=>0000000
[1,8,5,6,2,3,4,7]=>[1,2,8,7,4,6,3,5]=>[1,2,6,7,3,4,8,5]=>[8,7,3,2,6,5,1,4]=>0000000
[1,3,2,8,5,6,4,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[8,6,4,7,2,1,3,5]=>[1,8,5,2,6,3,4,7]=>[1,5,8,2,6,3,4,7]=>[8,4,1,7,3,6,5,2]=>0000000
[8,5,1,6,3,7,2,4]=>[1,8,4,6,7,2,5,3]=>[1,7,5,8,2,4,6,3]=>[8,2,4,1,7,5,3,6]=>0000000
[6,1,5,7,8,2,3,4]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>[8,3,7,1,6,4,5,2]=>0000000
[1,5,7,4,8,2,3,6]=>[1,2,5,8,6,3,7,4]=>[1,2,6,8,5,7,4,3]=>[8,7,3,1,4,2,5,6]=>0000000
[8,6,2,3,1,7,4,5]=>[1,8,5,2,6,7,4,3]=>[1,5,4,8,7,3,6,2]=>[8,4,5,1,2,6,3,7]=>0000000
[1,7,2,8,6,3,4,5]=>[1,2,7,4,8,5,6,3]=>[1,2,6,7,8,5,4,3]=>[8,7,3,2,1,4,5,6]=>0000000
[7,5,8,1,3,6,2,4]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>[8,2,4,1,7,5,6,3]=>0000000
[5,4,1,8,2,3,6,7]=>[1,5,2,4,8,7,6,3]=>[1,5,6,2,4,7,8,3]=>[8,4,3,7,5,2,1,6]=>0000000
[1,4,8,7,2,3,5,6]=>[1,2,4,7,5,3,8,6]=>[1,2,5,4,7,8,3,6]=>[8,7,4,5,2,1,6,3]=>0000000
[7,1,4,6,5,2,8,3]=>[1,7,8,3,4,6,2,5]=>[1,6,8,3,2,4,7,5]=>[8,3,1,6,7,5,2,4]=>0000000
[3,4,1,7,8,6,2,5]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[8,6,7,5,2,1,4,3]=>0000000
[6,8,5,1,3,7,2,4]=>[1,6,7,2,8,4,3,5]=>[1,7,4,8,3,6,2,5]=>[8,2,5,1,6,3,7,4]=>0000000
[3,8,7,4,1,5,2,6]=>[1,3,7,2,8,6,5,4]=>[1,7,3,5,6,8,2,4]=>[8,2,6,4,3,1,7,5]=>0000000
[3,2,1,8,5,4,6,7]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,6,7,8,5]=>[8,6,7,5,3,2,1,4]=>0000000
[5,2,6,1,8,7,3,4]=>[1,5,8,4,2,3,6,7]=>[1,4,2,8,5,3,6,7]=>[8,5,7,1,4,6,3,2]=>0000000
[4,3,1,6,7,8,2,5]=>[1,4,6,8,5,7,2,3]=>[1,7,2,4,8,6,5,3]=>[8,2,7,5,1,3,4,6]=>0000000
[3,2,1,8,6,4,7,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>0000000
[3,2,1,8,4,6,7,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>0000000
[4,2,1,7,8,3,5,6]=>[1,4,7,5,8,6,3,2]=>[1,3,6,4,8,7,2,5]=>[8,6,3,5,1,2,7,4]=>0000000
[6,3,8,2,5,7,4,1]=>[1,6,7,4,2,3,8,5]=>[1,4,2,7,8,6,3,5]=>[8,5,7,2,1,3,6,4]=>0000000
[5,6,7,3,8,2,4,1]=>[1,5,8,2,6,3,7,4]=>[1,8,6,7,5,2,3,4]=>[8,1,3,2,4,7,6,5]=>0000000
[5,3,8,2,4,6,7,1]=>[1,5,4,2,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>[8,5,7,4,6,1,3,2]=>0000000
[5,7,4,2,6,8,1,3]=>[1,5,6,8,3,4,2,7]=>[1,4,8,3,5,6,2,7]=>[8,5,1,6,4,3,7,2]=>0000000
[5,3,6,8,2,4,7,1]=>[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>[8,4,7,3,6,5,1,2]=>0000000
[2,7,8,5,4,1,6,3]=>[1,2,7,6,3,8,4,5]=>[1,2,6,7,3,8,4,5]=>[8,7,3,2,6,1,5,4]=>0000000
[6,3,4,2,1,8,5,7]=>[1,6,8,7,5,2,3,4]=>[1,5,2,3,7,6,8,4]=>[8,4,7,6,2,3,1,5]=>0000000
[3,6,4,2,1,8,5,7]=>[1,3,4,2,6,8,7,5]=>[1,4,3,2,7,6,8,5]=>[8,5,6,7,2,3,1,4]=>0000000
[8,5,3,7,6,2,4,1]=>[1,8,2,5,6,3,4,7]=>[1,8,6,3,2,5,4,7]=>[8,1,3,6,7,4,5,2]=>0000000
[2,1,6,4,3,7,8,5]=>[1,2,3,6,7,8,5,4]=>[1,2,3,5,8,6,7,4]=>[8,7,6,4,1,3,2,5]=>0000000
[6,3,7,8,4,2,1,5]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>0000000
[7,8,4,2,1,6,3,5]=>[1,7,3,4,2,8,5,6]=>[1,4,7,3,8,5,2,6]=>[8,5,2,6,1,4,7,3]=>0000000
[5,7,6,2,3,8,4,1]=>[1,5,3,6,8,2,7,4]=>[1,8,5,7,3,6,2,4]=>[8,1,4,2,6,3,7,5]=>0000000
[2,6,1,7,5,8,4,3]=>[1,2,6,8,3,4,7,5]=>[1,2,8,3,7,6,4,5]=>[8,7,1,6,2,3,5,4]=>0000000
[4,8,5,7,6,2,1,3]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[8,2,1,5,6,4,7,3]=>0000000
[4,7,6,2,1,3,8,5]=>[1,4,2,7,8,5,3,6]=>[1,4,5,2,8,3,7,6]=>[8,5,4,7,1,6,2,3]=>0000000
[8,6,5,2,3,1,7,4]=>[1,8,4,2,6,3,5,7]=>[1,4,8,6,2,3,5,7]=>[8,5,1,3,7,6,4,2]=>0000000
[7,8,5,2,1,4,6,3]=>[1,7,6,4,2,8,3,5]=>[1,4,6,7,3,8,2,5]=>[8,5,3,2,6,1,7,4]=>0000000
[4,1,3,7,5,2,8,6]=>[1,4,7,8,6,2,3,5]=>[1,6,2,4,3,8,7,5]=>[8,3,7,5,6,1,2,4]=>0000000
[5,1,8,3,2,6,7,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>0000000
[5,8,7,2,1,4,6,3]=>[1,5,2,8,3,7,6,4]=>[1,5,8,6,2,7,3,4]=>[8,4,1,3,7,2,6,5]=>0000000
[5,4,2,3,8,1,7,6]=>[1,5,8,6,2,4,3,7]=>[1,6,4,2,5,8,3,7]=>[8,3,5,7,4,1,6,2]=>0000000
[8,5,1,3,2,6,7,4]=>[1,8,4,3,2,5,6,7]=>[1,3,4,8,2,5,6,7]=>[8,6,5,1,7,4,3,2]=>0000000
[4,7,2,1,3,6,8,5]=>[1,4,2,7,8,5,3,6]=>[1,4,5,2,8,3,7,6]=>[8,5,4,7,1,6,2,3]=>0000000
[5,7,1,3,2,6,8,4]=>[1,5,2,7,8,4,3,6]=>[1,5,4,8,2,3,7,6]=>[8,4,5,1,7,6,2,3]=>0000000
[1,8,2,3,5,6,7,4]=>[1,2,8,4,3,5,6,7]=>[1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>0000000
[1,2,6,4,7,5,8,3]=>[1,2,3,6,5,7,8,4]=>[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>0000000
[6,3,8,5,4,7,1,2]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[8,2,7,1,5,3,6,4]=>0000000
[1,6,2,5,4,7,8,3]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[8,7,1,6,5,3,2,4]=>0000000
[1,2,6,4,8,5,7,3]=>[1,2,3,6,5,8,4,7]=>[1,2,3,8,6,5,4,7]=>[8,7,6,1,3,4,5,2]=>0000000
[5,6,1,8,4,3,2,7]=>[1,5,4,8,7,2,6,3]=>[1,7,6,5,4,2,8,3]=>[8,2,3,4,5,7,1,6]=>0000000
[7,1,2,5,4,8,6,3]=>[1,7,6,8,3,2,4,5]=>[1,3,8,2,4,7,6,5]=>[8,6,1,7,5,2,3,4]=>0000000
[1,2,7,5,8,3,6,4]=>[1,2,3,7,6,4,5,8]=>[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>0000000
[1,3,6,7,8,5,2,4]=>[1,2,3,6,5,8,4,7]=>[1,2,3,8,6,5,4,7]=>[8,7,6,1,3,4,5,2]=>0000000
[1,2,6,4,7,8,5,3]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000
[4,1,8,5,2,3,7,6]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[8,4,7,5,6,1,3,2]=>0000000
[6,5,8,1,4,3,2,7]=>[1,6,3,8,7,2,5,4]=>[1,7,6,5,2,3,8,4]=>[8,2,3,4,7,6,1,5]=>0000000
[1,4,7,2,3,8,6,5]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>0000000
[1,3,5,2,8,7,6,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>0000000
[4,3,6,7,8,2,1,5]=>[1,4,7,2,3,6,5,8]=>[1,7,2,4,6,3,5,8]=>[8,2,7,5,3,6,4,1]=>0000000
[1,5,7,4,8,3,2,6]=>[1,2,5,8,6,3,7,4]=>[1,2,6,8,5,7,4,3]=>[8,7,3,1,4,2,5,6]=>0000000
[5,3,6,4,7,8,2,1]=>[1,5,7,2,3,6,8,4]=>[1,7,2,8,5,3,6,4]=>[8,2,7,1,4,6,3,5]=>0000000
[3,5,2,6,8,4,7,1]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[8,6,7,1,4,5,3,2]=>0000000
[1,3,6,2,8,7,5,4]=>[1,2,3,6,7,5,8,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>0000000
[1,4,6,3,8,7,2,5]=>[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>0000000
[2,5,7,4,3,8,6,1]=>[1,2,5,3,7,6,8,4]=>[1,2,5,8,3,7,6,4]=>[8,7,4,1,6,2,3,5]=>0000000
[4,6,3,7,2,8,5,1]=>[1,4,7,5,2,6,8,3]=>[1,5,7,4,8,3,6,2]=>[8,4,2,5,1,6,3,7]=>0000000
[1,4,7,3,8,6,2,5]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[8,7,5,6,2,1,4,3]=>0000000
[1,3,7,2,8,6,5,4]=>[1,2,3,7,5,8,4,6]=>[1,2,3,8,7,4,5,6]=>[8,7,6,1,2,5,4,3]=>0000000
[5,1,6,8,2,4,3,7]=>[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>[8,4,7,3,6,5,1,2]=>0000000
[2,4,7,8,3,1,5,6]=>[1,2,4,8,6,3,7,5]=>[1,2,6,4,8,7,5,3]=>[8,7,3,5,1,2,4,6]=>0000000
[7,4,6,8,2,3,1,5]=>[1,7,2,4,8,5,3,6]=>[1,7,5,2,8,3,4,6]=>[8,2,4,7,1,6,5,3]=>0000000
[2,4,8,7,3,1,5,6]=>[1,2,4,7,5,3,8,6]=>[1,2,5,4,7,8,3,6]=>[8,7,4,5,2,1,6,3]=>0000000
[3,1,7,4,2,8,6,5]=>[1,3,7,6,8,5,2,4]=>[1,5,3,2,8,7,6,4]=>[8,4,6,7,1,2,3,5]=>0000000
[3,2,8,4,1,7,6,5]=>[1,3,8,5,2,4,6,7]=>[1,5,3,2,8,4,6,7]=>[8,4,6,7,1,5,3,2]=>0000000
[4,7,6,8,2,3,1,5]=>[1,4,8,5,2,7,3,6]=>[1,5,8,4,7,2,3,6]=>[8,4,1,5,2,7,6,3]=>0000000
[8,6,4,7,2,3,1,5]=>[1,8,5,2,6,3,4,7]=>[1,5,8,2,6,3,4,7]=>[8,4,1,7,3,6,5,2]=>0000000
[3,1,7,6,4,2,8,5]=>[1,3,7,8,5,4,6,2]=>[1,6,3,5,8,4,7,2]=>[8,3,6,4,1,5,2,7]=>0000000
[4,1,6,5,3,8,7,2]=>[1,4,5,3,6,8,2,7]=>[1,8,5,4,3,6,2,7]=>[8,1,4,5,6,3,7,2]=>0000000
[6,4,3,8,7,1,5,2]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>0000000
[4,6,8,1,5,7,3,2]=>[1,4,2,6,7,3,8,5]=>[1,4,7,2,8,6,3,5]=>[8,5,2,7,1,3,6,4]=>0000000
[4,6,1,8,5,7,3,2]=>[1,4,8,2,6,7,3,5]=>[1,8,7,4,3,2,6,5]=>[8,1,2,5,6,7,3,4]=>0000000
[1,4,6,8,5,7,3,2]=>[1,2,4,8,3,6,7,5]=>[1,2,8,4,7,3,6,5]=>[8,7,1,5,2,6,3,4]=>0000000
[4,6,1,8,5,3,7,2]=>[1,4,8,2,6,3,5,7]=>[1,8,6,4,3,2,5,7]=>[8,1,3,5,6,7,4,2]=>0000000
[4,6,3,8,5,7,1,2]=>[1,4,8,2,6,7,3,5]=>[1,8,7,4,3,2,6,5]=>[8,1,2,5,6,7,3,4]=>0000000
[1,4,6,3,8,7,5,2]=>[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>0000000
[6,4,1,8,7,5,3,2]=>[1,6,5,7,3,2,4,8]=>[1,3,7,2,6,5,4,8]=>[8,6,2,7,3,4,5,1]=>0000000
[6,4,1,8,7,3,5,2]=>[1,6,3,2,4,8,5,7]=>[1,3,6,2,8,4,5,7]=>[8,6,3,7,1,5,4,2]=>0000000
[1,7,3,2,5,8,4,6]=>[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000
[3,6,8,4,2,1,5,7]=>[1,3,8,7,5,2,6,4]=>[1,5,3,7,6,4,8,2]=>[8,4,6,2,3,5,1,7]=>0000000
[4,3,2,6,1,8,5,7]=>[1,4,6,8,7,5,2,3]=>[1,5,2,4,7,6,8,3]=>[8,4,7,5,2,3,1,6]=>0000000
[1,8,2,3,4,7,6,5]=>[1,2,8,5,4,3,6,7]=>[1,2,4,5,8,3,6,7]=>[8,7,5,4,1,6,3,2]=>0000000
[7,4,1,8,3,5,2,6]=>[1,7,2,4,8,6,5,3]=>[1,7,5,2,6,8,4,3]=>[8,2,4,7,3,1,5,6]=>0000000
[8,4,1,7,3,5,2,6]=>[1,8,6,5,3,2,4,7]=>[1,3,5,2,6,8,4,7]=>[8,6,4,7,3,1,5,2]=>0000000
[5,1,7,2,8,4,3,6]=>[1,5,8,6,4,2,3,7]=>[1,4,2,6,5,8,3,7]=>[8,5,7,3,4,1,6,2]=>0000000
[6,8,1,3,4,7,2,5]=>[1,6,7,2,8,5,4,3]=>[1,7,4,5,8,6,2,3]=>[8,2,5,4,1,3,7,6]=>0000000
[8,3,2,7,4,5,1,6]=>[1,8,6,5,4,7,2,3]=>[1,7,2,5,6,8,4,3]=>[8,2,7,4,3,1,5,6]=>0000000
[5,3,7,2,6,1,8,4]=>[1,5,6,2,3,7,8,4]=>[1,6,2,8,5,3,7,4]=>[8,3,7,1,4,6,2,5]=>0000000
[7,8,4,1,2,6,5,3]=>[1,7,5,2,8,3,4,6]=>[1,5,7,2,8,4,3,6]=>[8,4,2,7,1,5,6,3]=>0000000
[5,2,8,3,6,7,1,4]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>[8,2,7,1,4,3,6,5]=>0000000
[1,8,7,6,2,4,3,5]=>[1,2,8,5,3,7,4,6]=>[1,2,5,8,7,3,4,6]=>[8,7,4,1,2,6,5,3]=>0000000
[2,8,1,4,5,6,7,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[2,1,7,3,6,5,8,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000
[6,1,2,8,5,7,3,4]=>[1,6,7,3,2,4,8,5]=>[1,3,7,2,8,6,4,5]=>[8,6,2,7,1,3,5,4]=>0000000
[6,2,1,8,5,7,3,4]=>[1,6,7,3,2,4,8,5]=>[1,3,7,2,8,6,4,5]=>[8,6,2,7,1,3,5,4]=>0000000
[6,4,2,1,7,5,8,3]=>[1,6,5,7,8,3,2,4]=>[1,3,8,2,6,5,7,4]=>[8,6,1,7,3,4,2,5]=>0000000
[1,3,7,2,6,8,5,4]=>[1,2,3,7,5,6,8,4]=>[1,2,3,8,7,5,6,4]=>[8,7,6,1,2,4,3,5]=>0000000
[1,2,7,5,6,3,8,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000
[2,6,7,3,5,4,1,8]=>[1,2,6,4,3,7,5,8]=>[1,2,4,6,7,3,5,8]=>[8,7,5,3,2,6,4,1]=>0000000
[2,1,6,3,7,5,4,8]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>0000000
[2,7,1,3,6,8,4,5]=>[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000
[4,5,3,1,7,6,8,2]=>[1,4,2,5,7,8,3,6]=>[1,4,8,2,5,3,7,6]=>[8,5,1,7,4,6,2,3]=>0000000
[4,6,1,2,7,5,3,8]=>[1,4,2,6,5,7,3,8]=>[1,4,7,2,6,5,3,8]=>[8,5,2,7,3,4,6,1]=>0000000
[5,7,1,4,6,8,3,2]=>[1,5,6,8,2,7,3,4]=>[1,8,7,3,5,6,2,4]=>[8,1,2,6,4,3,7,5]=>0000000
[6,7,5,4,1,8,3,2]=>[1,6,8,2,7,3,5,4]=>[1,8,7,5,3,6,2,4]=>[8,1,2,4,6,3,7,5]=>0000000
[8,4,1,7,5,2,3,6]=>[1,8,6,2,4,7,3,5]=>[1,6,8,3,2,7,4,5]=>[8,3,1,6,7,2,5,4]=>0000000
[5,7,8,1,3,2,6,4]=>[1,5,3,8,4,2,7,6]=>[1,4,8,5,2,7,3,6]=>[8,5,1,4,7,2,6,3]=>0000000
[8,2,6,1,5,7,3,4]=>[1,8,4,2,3,6,7,5]=>[1,4,2,8,7,3,6,5]=>[8,5,7,1,2,6,3,4]=>0000000
[7,1,8,4,3,6,2,5]=>[1,7,2,3,8,5,4,6]=>[1,7,2,5,8,4,3,6]=>[8,2,7,4,1,5,6,3]=>0000000
[7,4,3,8,1,2,6,5]=>[1,7,6,2,4,8,5,3]=>[1,6,5,3,7,8,4,2]=>[8,3,4,6,2,1,5,7]=>0000000
[5,7,3,4,6,8,1,2]=>[1,5,6,8,2,7,3,4]=>[1,8,7,3,5,6,2,4]=>[8,1,2,6,4,3,7,5]=>0000000
[7,3,5,6,1,2,8,4]=>[1,7,8,4,6,2,3,5]=>[1,6,2,8,3,4,7,5]=>[8,3,7,1,6,5,2,4]=>0000000
[3,7,5,1,2,8,6,4]=>[1,3,5,2,7,6,8,4]=>[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>0000000
[7,3,8,5,1,2,6,4]=>[1,7,6,2,3,8,4,5]=>[1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>0000000
[3,7,5,1,2,6,4,8]=>[1,3,5,2,7,4,6,8]=>[1,5,3,7,2,4,6,8]=>[8,4,6,2,7,5,3,1]=>0000000
[2,5,7,4,8,6,1,3]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[8,7,1,2,4,5,6,3]=>0000000
[5,2,8,4,7,6,1,3]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[8,2,7,1,4,5,6,3]=>0000000
[2,3,5,7,6,1,8,4]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>0000000
[5,2,3,6,1,8,7,4]=>[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>0000000
[3,1,5,6,2,8,7,4]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]=>[8,4,6,7,5,3,1,2]=>0000000
[5,1,3,7,2,8,6,4]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000
[7,3,4,1,8,6,5,2]=>[1,7,5,8,2,3,4,6]=>[1,8,2,3,7,4,5,6]=>[8,1,7,6,2,5,4,3]=>0000000
[6,3,4,1,8,7,5,2]=>[1,6,7,5,8,2,3,4]=>[1,8,2,3,7,6,5,4]=>[8,1,7,6,2,3,4,5]=>0000000
[1,6,4,2,8,7,5,3]=>[1,2,6,7,5,8,3,4]=>[1,2,8,3,7,6,5,4]=>[8,7,1,6,2,3,4,5]=>0000000
[1,5,8,3,2,7,6,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[2,5,8,3,1,7,6,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[2,5,8,1,3,7,6,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[3,4,1,7,2,8,6,5]=>[1,3,2,4,7,6,8,5]=>[1,3,2,4,8,7,6,5]=>[8,6,7,5,1,2,3,4]=>0000000
[6,3,1,7,2,8,5,4]=>[1,6,8,4,7,5,2,3]=>[1,5,2,7,8,6,3,4]=>[8,4,7,2,1,3,6,5]=>0000000
[1,6,2,3,8,7,5,4]=>[1,2,6,7,5,8,4,3]=>[1,2,4,8,7,6,5,3]=>[8,7,5,1,2,3,4,6]=>0000000
[6,4,1,2,8,7,5,3]=>[1,6,7,5,8,3,2,4]=>[1,3,8,2,7,6,5,4]=>[8,6,1,7,2,3,4,5]=>0000000
[5,3,1,7,2,8,6,4]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000
[5,2,8,1,3,7,6,4]=>[1,5,3,8,4,2,6,7]=>[1,4,8,5,2,3,6,7]=>[8,5,1,4,7,6,3,2]=>0000000
[3,5,8,7,2,6,4,1]=>[1,3,8,2,5,4,7,6]=>[1,8,3,5,2,7,4,6]=>[8,1,6,4,7,2,5,3]=>0000000
[4,6,3,8,5,2,1,7]=>[1,4,8,7,2,6,3,5]=>[1,7,6,4,3,2,8,5]=>[8,2,3,5,6,7,1,4]=>0000000
[8,7,3,6,5,1,2,4]=>[1,8,4,6,2,7,3,5]=>[1,6,7,8,3,4,2,5]=>[8,3,2,1,6,5,7,4]=>0000000
[5,2,7,8,4,6,3,1]=>[1,5,4,8,2,3,7,6]=>[1,8,2,5,4,7,3,6]=>[8,1,7,4,5,2,6,3]=>0000000
[5,2,8,3,7,6,1,4]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[8,2,7,1,4,5,6,3]=>0000000
[6,8,3,2,5,7,1,4]=>[1,6,7,2,8,4,3,5]=>[1,7,4,8,3,6,2,5]=>[8,2,5,1,6,3,7,4]=>0000000
[6,2,3,4,1,8,5,7]=>[1,6,8,7,5,2,3,4]=>[1,5,2,3,7,6,8,4]=>[8,4,7,6,2,3,1,5]=>0000000
[6,2,3,4,8,7,5,1]=>[1,6,7,5,8,2,3,4]=>[1,8,2,3,7,6,5,4]=>[8,1,7,6,2,3,4,5]=>0000000
[8,6,7,4,1,5,3,2]=>[1,8,2,6,5,3,7,4]=>[1,8,5,6,7,2,4,3]=>[8,1,4,3,2,7,5,6]=>0000000
[7,1,8,4,6,5,2,3]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[8,2,7,1,5,4,6,3]=>0000000
[8,4,7,1,5,6,3,2]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[8,1,5,7,2,4,6,3]=>0000000
[8,7,1,4,2,5,6,3]=>[1,8,3,2,7,6,5,4]=>[1,3,8,5,6,7,2,4]=>[8,6,1,4,3,2,7,5]=>0000000
[7,1,8,5,6,2,3,4]=>[1,7,3,8,4,5,6,2]=>[1,6,7,8,4,5,3,2]=>[8,3,2,1,5,4,6,7]=>0000000
[2,3,8,5,7,1,6,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>0000000
[2,3,8,6,7,5,1,4]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>0000000
[1,3,8,6,7,5,2,4]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>0000000
[2,8,7,1,5,6,3,4]=>[1,2,8,4,3,7,5,6]=>[1,2,4,8,7,5,3,6]=>[8,7,5,1,2,4,6,3]=>0000000
[1,3,8,5,7,2,6,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>0000000
[1,8,3,7,2,5,6,4]=>[1,2,8,4,7,6,5,3]=>[1,2,5,6,7,8,4,3]=>[8,7,4,3,2,1,5,6]=>0000000
[8,6,3,7,4,1,5,2]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[8,1,3,6,2,7,5,4]=>0000000
[8,4,2,7,5,6,1,3]=>[1,8,3,2,4,7,5,6]=>[1,3,8,2,7,5,4,6]=>[8,6,1,7,2,4,5,3]=>0000000
[8,7,2,4,1,5,6,3]=>[1,8,3,2,7,6,5,4]=>[1,3,8,5,6,7,2,4]=>[8,6,1,4,3,2,7,5]=>0000000
[4,2,8,6,7,1,5,3]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[8,3,7,5,1,6,4,2]=>0000000
[1,8,7,2,3,6,4,5]=>[1,2,8,5,3,7,4,6]=>[1,2,5,8,7,3,4,6]=>[8,7,4,1,2,6,5,3]=>0000000
[1,8,7,2,6,3,4,5]=>[1,2,8,5,6,3,7,4]=>[1,2,6,7,8,5,3,4]=>[8,7,3,2,1,4,6,5]=>0000000
[1,8,7,3,6,2,4,5]=>[1,2,8,5,6,3,7,4]=>[1,2,6,7,8,5,3,4]=>[8,7,3,2,1,4,6,5]=>0000000
[2,8,7,3,5,6,1,4]=>[1,2,8,4,3,7,5,6]=>[1,2,4,8,7,5,3,6]=>[8,7,5,1,2,4,6,3]=>0000000
[8,5,2,1,6,7,4,3]=>[1,8,3,2,5,6,7,4]=>[1,3,8,7,2,5,6,4]=>[8,6,1,2,7,4,3,5]=>0000000
[1,2,8,6,7,5,3,4]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>0000000
[8,3,7,2,5,6,1,4]=>[1,8,4,2,3,7,5,6]=>[1,4,2,8,7,5,3,6]=>[8,5,7,1,2,4,6,3]=>0000000
[1,2,8,6,7,3,5,4]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>0000000
[8,1,3,7,2,5,6,4]=>[1,8,4,7,6,5,2,3]=>[1,5,2,6,7,8,4,3]=>[8,4,7,3,2,1,5,6]=>0000000
[8,3,7,1,2,5,6,4]=>[1,8,4,2,3,7,6,5]=>[1,4,2,8,6,7,3,5]=>[8,5,7,1,3,2,6,4]=>0000000
[5,3,7,2,8,6,4,1]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[8,1,7,2,4,5,6,3]=>0000000
[5,3,7,6,8,2,4,1]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[8,1,7,2,4,5,6,3]=>0000000
[5,7,8,4,6,2,1,3]=>[1,5,6,2,7,3,8,4]=>[1,6,7,8,5,2,3,4]=>[8,3,2,1,4,7,6,5]=>0000000
[5,3,8,6,2,7,4,1]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>0000000
[6,3,8,7,2,4,1,5]=>[1,6,4,7,2,3,8,5]=>[1,7,2,6,8,4,3,5]=>[8,2,7,3,1,5,6,4]=>0000000
[6,4,2,8,1,7,3,5]=>[1,6,7,3,2,4,8,5]=>[1,3,7,2,8,6,4,5]=>[8,6,2,7,1,3,5,4]=>0000000
[5,4,6,2,8,7,1,3]=>[1,5,8,3,6,7,2,4]=>[1,7,8,2,5,3,6,4]=>[8,2,1,7,4,6,3,5]=>0000000
[5,7,4,3,6,8,1,2]=>[1,5,6,8,2,7,3,4]=>[1,8,7,3,5,6,2,4]=>[8,1,2,6,4,3,7,5]=>0000000
[4,5,8,6,7,3,2,1]=>[1,4,6,3,8,2,5,7]=>[1,8,6,4,2,3,5,7]=>[8,1,3,5,7,6,4,2]=>0000000
[7,8,4,5,1,3,2,6]=>[1,7,2,8,6,3,4,5]=>[1,7,6,3,4,8,2,5]=>[8,2,3,6,5,1,7,4]=>0000000
[5,6,2,4,3,7,1,8]=>[1,5,3,2,6,7,4,8]=>[1,3,5,7,2,6,4,8]=>[8,6,4,2,7,3,5,1]=>0000000
[5,6,1,4,3,7,2,8]=>[1,5,3,2,6,7,4,8]=>[1,3,5,7,2,6,4,8]=>[8,6,4,2,7,3,5,1]=>0000000
[4,6,5,7,3,8,1,2]=>[1,4,7,2,6,8,3,5]=>[1,7,8,4,3,2,6,5]=>[8,2,1,5,6,7,3,4]=>0000000
[2,4,7,1,3,8,6,5]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>0000000
[3,5,2,7,6,4,8,1]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>0000000
[2,5,7,3,1,8,6,4]=>[1,2,5,3,7,6,8,4]=>[1,2,5,8,3,7,6,4]=>[8,7,4,1,6,2,3,5]=>0000000
[1,3,7,2,8,5,6,4]=>[1,2,3,7,6,5,8,4]=>[1,2,3,8,6,7,5,4]=>[8,7,6,1,3,2,4,5]=>0000000
[2,3,1,5,8,6,4,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[2,1,5,6,8,4,7,3]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>0000000
[1,3,6,2,8,4,7,5]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>0000000
[2,1,5,6,8,7,3,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>0000000
[4,6,3,1,7,5,2,8]=>[1,4,2,6,5,7,3,8]=>[1,4,7,2,6,5,3,8]=>[8,5,2,7,3,4,6,1]=>0000000
[2,5,7,1,4,3,8,6]=>[1,2,5,4,3,7,8,6]=>[1,2,4,5,3,8,7,6]=>[8,7,5,4,6,1,2,3]=>0000000
[4,3,5,7,6,1,8,2]=>[1,4,7,8,2,3,5,6]=>[1,8,2,4,3,5,7,6]=>[8,1,7,5,6,4,2,3]=>0000000
[5,3,6,4,2,1,7,8]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>0000000
[2,6,1,5,4,3,7,8]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[1,5,2,8,7,6,3,4]=>[1,2,5,7,3,4,8,6]=>[1,2,7,3,5,8,4,6]=>[8,7,2,6,4,1,5,3]=>0000000
[4,1,5,8,7,6,2,3]=>[1,4,8,3,5,7,2,6]=>[1,7,8,4,3,2,5,6]=>[8,2,1,5,6,7,4,3]=>0000000
[3,1,6,8,7,4,5,2]=>[1,3,6,4,8,2,5,7]=>[1,8,3,6,2,4,5,7]=>[8,1,6,3,7,5,4,2]=>0000000
[5,2,7,8,3,6,4,1]=>[1,5,3,7,4,8,2,6]=>[1,8,5,7,3,2,4,6]=>[8,1,4,2,6,7,5,3]=>0000000
[6,3,8,4,2,7,5,1]=>[1,6,7,5,2,3,8,4]=>[1,5,2,7,8,6,4,3]=>[8,4,7,2,1,3,5,6]=>0000000
[5,6,2,8,3,7,4,1]=>[1,5,3,2,6,7,4,8]=>[1,3,5,7,2,6,4,8]=>[8,6,4,2,7,3,5,1]=>0000000
[1,5,8,2,7,3,6,4]=>[1,2,5,7,6,3,8,4]=>[1,2,6,7,5,8,4,3]=>[8,7,3,2,4,1,5,6]=>0000000
[5,6,8,1,3,7,4,2]=>[1,5,3,8,2,6,7,4]=>[1,8,5,7,3,2,6,4]=>[8,1,4,2,6,7,3,5]=>0000000
[6,1,8,3,4,7,5,2]=>[1,6,7,5,4,3,8,2]=>[1,8,4,5,7,6,3,2]=>[8,1,5,4,2,3,6,7]=>0000000
[6,8,4,2,5,7,3,1]=>[1,6,7,3,4,2,8,5]=>[1,4,7,3,8,6,2,5]=>[8,5,2,6,1,3,7,4]=>0000000
[7,5,8,3,4,6,2,1]=>[1,7,2,5,4,3,8,6]=>[1,7,4,5,2,8,3,6]=>[8,2,5,4,7,1,6,3]=>0000000
[1,4,5,8,7,2,3,6]=>[1,2,4,8,6,3,5,7]=>[1,2,6,4,3,8,5,7]=>[8,7,3,5,6,1,4,2]=>0000000
[1,6,7,4,8,2,5,3]=>[1,2,6,3,7,5,8,4]=>[1,2,6,8,7,3,5,4]=>[8,7,3,1,2,6,4,5]=>0000000
[1,4,5,8,6,2,7,3]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>0000000
[1,6,8,4,5,2,3,7]=>[1,2,6,3,8,7,4,5]=>[1,2,6,7,4,3,8,5]=>[8,7,3,2,5,6,1,4]=>0000000
[1,6,8,2,3,4,7,5]=>[1,2,6,4,3,8,5,7]=>[1,2,4,6,8,3,5,7]=>[8,7,5,3,1,6,4,2]=>0000000
[8,4,2,1,5,3,6,7]=>[1,8,7,6,3,2,4,5]=>[1,3,6,2,4,7,8,5]=>[8,6,3,7,5,2,1,4]=>0000000
[1,6,7,8,4,3,2,5]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>0000000
[7,2,1,8,4,5,3,6]=>[1,7,3,2,4,8,6,5]=>[1,3,7,2,6,8,4,5]=>[8,6,2,7,3,1,5,4]=>0000000
[6,2,7,8,4,3,1,5]=>[1,6,3,7,2,4,8,5]=>[1,7,6,2,8,3,4,5]=>[8,2,3,7,1,6,5,4]=>0000000
[2,6,7,4,8,3,5,1]=>[1,2,6,3,7,5,8,4]=>[1,2,6,8,7,3,5,4]=>[8,7,3,1,2,6,4,5]=>0000000
[2,6,7,8,5,3,4,1]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>0000000
[6,2,7,8,4,5,3,1]=>[1,6,5,4,8,2,3,7]=>[1,8,2,5,6,4,3,7]=>[8,1,7,4,3,5,6,2]=>0000000
[3,1,2,7,6,5,8,4]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,5,7,6]=>[8,6,7,5,1,4,2,3]=>0000000
[1,6,5,8,7,3,4,2]=>[1,2,6,3,5,7,4,8]=>[1,2,6,7,3,5,4,8]=>[8,7,3,2,6,4,5,1]=>0000000
[6,8,1,5,3,7,2,4]=>[1,6,7,2,8,4,5,3]=>[1,7,5,8,4,6,2,3]=>[8,2,4,1,5,3,7,6]=>0000000
[1,5,7,3,4,6,8,2]=>[1,2,5,4,3,7,8,6]=>[1,2,4,5,3,8,7,6]=>[8,7,5,4,6,1,2,3]=>0000000
[8,7,2,5,3,6,1,4]=>[1,8,4,5,3,2,7,6]=>[1,3,5,8,4,7,2,6]=>[8,6,4,1,5,2,7,3]=>0000000
[8,6,5,2,4,7,1,3]=>[1,8,3,5,4,2,6,7]=>[1,4,5,8,2,3,6,7]=>[8,5,4,1,7,6,3,2]=>0000000
[7,6,2,5,3,1,8,4]=>[1,7,8,4,5,3,2,6]=>[1,3,5,8,4,2,7,6]=>[8,6,4,1,5,7,2,3]=>0000000
[5,7,4,1,6,8,3,2]=>[1,5,6,8,2,7,3,4]=>[1,8,7,3,5,6,2,4]=>[8,1,2,6,4,3,7,5]=>0000000
[4,3,7,2,8,6,5,1]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[8,5,7,6,2,1,4,3]=>0000000
[6,4,7,2,5,3,8,1]=>[1,6,3,7,8,2,4,5]=>[1,8,6,2,4,3,7,5]=>[8,1,3,7,5,6,2,4]=>0000000
[5,7,8,2,4,6,3,1]=>[1,5,4,2,7,3,8,6]=>[1,4,5,7,3,8,2,6]=>[8,5,4,2,6,1,7,3]=>0000000
[2,5,8,4,3,7,6,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[6,2,5,7,1,4,8,3]=>[1,6,4,7,8,3,5,2]=>[1,5,8,6,3,4,7,2]=>[8,4,1,3,6,5,2,7]=>0000000
[6,2,5,7,8,1,3,4]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>[8,3,7,1,6,4,5,2]=>0000000
[1,6,2,7,5,8,4,3]=>[1,2,6,8,3,4,7,5]=>[1,2,8,3,7,6,4,5]=>[8,7,1,6,2,3,5,4]=>0000000
[6,5,2,1,8,7,3,4]=>[1,6,7,3,2,5,8,4]=>[1,3,7,8,2,6,5,4]=>[8,6,2,1,7,3,4,5]=>0000000
[6,4,2,7,8,5,1,3]=>[1,6,5,8,3,2,4,7]=>[1,3,8,2,6,5,4,7]=>[8,6,1,7,3,4,5,2]=>0000000
[1,8,6,2,4,7,3,5]=>[1,2,8,5,4,3,6,7]=>[1,2,4,5,8,3,6,7]=>[8,7,5,4,1,6,3,2]=>0000000
[8,1,6,2,4,7,3,5]=>[1,8,5,4,2,3,6,7]=>[1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>0000000
[6,4,1,7,8,5,2,3]=>[1,6,5,8,3,2,4,7]=>[1,3,8,2,6,5,4,7]=>[8,6,1,7,3,4,5,2]=>0000000
[1,8,6,3,4,7,2,5]=>[1,2,8,5,4,3,6,7]=>[1,2,4,5,8,3,6,7]=>[8,7,5,4,1,6,3,2]=>0000000
[2,8,6,1,4,7,3,5]=>[1,2,8,5,4,3,6,7]=>[1,2,4,5,8,3,6,7]=>[8,7,5,4,1,6,3,2]=>0000000
[6,8,3,2,4,7,1,5]=>[1,6,7,2,8,5,4,3]=>[1,7,4,5,8,6,2,3]=>[8,2,5,4,1,3,7,6]=>0000000
[8,5,2,4,7,3,1,6]=>[1,8,6,3,2,5,7,4]=>[1,3,6,8,4,7,5,2]=>[8,6,3,1,5,2,4,7]=>0000000
[1,8,5,4,7,3,2,6]=>[1,2,8,6,3,5,7,4]=>[1,2,6,8,4,7,5,3]=>[8,7,3,1,5,2,4,6]=>0000000
[8,6,3,1,4,7,2,5]=>[1,8,5,4,2,6,7,3]=>[1,4,5,8,7,2,6,3]=>[8,5,4,1,2,7,3,6]=>0000000
[2,8,5,4,7,3,1,6]=>[1,2,8,6,3,5,7,4]=>[1,2,6,8,4,7,5,3]=>[8,7,3,1,5,2,4,6]=>0000000
[5,7,3,4,6,8,2,1]=>[1,5,6,8,2,7,3,4]=>[1,8,7,3,5,6,2,4]=>[8,1,2,6,4,3,7,5]=>0000000
[7,2,3,5,4,8,1,6]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[3,2,1,4,7,8,5,6]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[8,1,7,6,4,3,5,2]=>[1,8,2,3,7,5,4,6]=>[1,8,2,5,7,4,3,6]=>[8,1,7,4,2,5,6,3]=>0000000
[8,3,6,5,2,1,7,4]=>[1,8,4,5,2,3,6,7]=>[1,5,2,8,4,3,6,7]=>[8,4,7,1,5,6,3,2]=>0000000
[5,8,2,6,4,1,3,7]=>[1,5,4,6,2,8,7,3]=>[1,6,7,5,4,2,8,3]=>[8,3,2,4,5,7,1,6]=>0000000
[6,3,8,5,2,7,1,4]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[8,2,7,1,5,3,6,4]=>0000000
[2,8,7,6,3,1,5,4]=>[1,2,8,4,6,3,7,5]=>[1,2,6,8,7,4,3,5]=>[8,7,3,1,2,5,6,4]=>0000000
[2,5,8,7,6,3,1,4]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>[8,7,3,1,4,6,5,2]=>0000000
[2,4,8,1,6,5,7,3]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[2,8,7,3,6,1,4,5]=>[1,2,8,5,6,3,7,4]=>[1,2,6,7,8,5,3,4]=>[8,7,3,2,1,4,6,5]=>0000000
[2,5,8,1,7,3,6,4]=>[1,2,5,7,6,3,8,4]=>[1,2,6,7,5,8,4,3]=>[8,7,3,2,4,1,5,6]=>0000000
[2,7,1,5,8,3,4,6]=>[1,2,7,4,5,8,6,3]=>[1,2,6,8,3,7,5,4]=>[8,7,3,1,6,2,4,5]=>0000000
[2,7,1,6,3,8,4,5]=>[1,2,7,4,6,8,5,3]=>[1,2,5,8,7,3,6,4]=>[8,7,4,1,2,6,3,5]=>0000000
[3,7,5,8,1,2,6,4]=>[1,3,5,2,7,6,4,8]=>[1,5,3,6,2,7,4,8]=>[8,4,6,3,7,2,5,1]=>0000000
[7,3,6,1,2,8,4,5]=>[1,7,4,2,3,6,8,5]=>[1,4,2,7,8,3,6,5]=>[8,5,7,2,1,6,3,4]=>0000000
[4,8,5,1,7,2,3,6]=>[1,4,2,8,6,3,5,7]=>[1,4,6,2,3,8,5,7]=>[8,5,3,7,6,1,4,2]=>0000000
[8,6,4,7,1,2,5,3]=>[1,8,3,4,7,5,2,6]=>[1,5,7,2,8,3,4,6]=>[8,4,2,7,1,6,5,3]=>0000000
[8,6,5,1,7,2,3,4]=>[1,8,4,2,6,3,5,7]=>[1,4,8,6,2,3,5,7]=>[8,5,1,3,7,6,4,2]=>0000000
[4,2,7,1,6,3,5,8]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000
[5,8,2,1,4,7,3,6]=>[1,5,4,2,8,6,7,3]=>[1,4,5,7,3,8,6,2]=>[8,5,4,2,6,1,3,7]=>0000000
[6,8,4,3,1,5,7,2]=>[1,6,5,2,8,3,4,7]=>[1,5,6,2,8,3,4,7]=>[8,4,3,7,1,6,5,2]=>0000000
[6,8,4,2,1,5,7,3]=>[1,6,5,2,8,3,4,7]=>[1,5,6,2,8,3,4,7]=>[8,4,3,7,1,6,5,2]=>0000000
[5,2,1,7,3,4,8,6]=>[1,5,3,2,4,7,8,6]=>[1,3,5,2,4,8,7,6]=>[8,6,4,7,5,1,2,3]=>0000000
[3,2,1,7,6,4,8,5]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,5,7,6]=>[8,6,7,5,1,4,2,3]=>0000000
[4,2,1,8,5,7,3,6]=>[1,4,8,6,7,3,2,5]=>[1,3,7,4,2,8,6,5]=>[8,6,2,5,7,1,3,4]=>0000000
[7,4,3,1,8,5,6,2]=>[1,7,6,5,8,2,4,3]=>[1,8,4,2,6,7,5,3]=>[8,1,5,7,3,2,4,6]=>0000000
[6,4,2,1,7,5,3,8]=>[1,6,5,7,3,2,4,8]=>[1,3,7,2,6,5,4,8]=>[8,6,2,7,3,4,5,1]=>0000000
[6,2,1,8,3,7,4,5]=>[1,6,7,4,8,5,3,2]=>[1,3,5,8,7,6,2,4]=>[8,6,4,1,2,3,7,5]=>0000000
[5,3,2,8,6,1,4,7]=>[1,5,6,2,3,4,8,7]=>[1,6,2,3,5,4,8,7]=>[8,3,7,6,4,5,1,2]=>0000000
[6,5,3,1,7,8,4,2]=>[1,6,8,2,5,7,4,3]=>[1,8,4,7,2,6,5,3]=>[8,1,5,2,7,3,4,6]=>0000000
[5,3,2,1,6,7,8,4]=>[1,5,6,7,8,4,2,3]=>[1,4,2,8,5,6,7,3]=>[8,5,7,1,4,3,2,6]=>0000000
[8,6,1,4,5,7,2,3]=>[1,8,3,2,6,7,4,5]=>[1,3,8,7,4,2,6,5]=>[8,6,1,2,5,7,3,4]=>0000000
[5,2,8,3,7,4,6,1]=>[1,5,7,6,4,3,8,2]=>[1,8,4,6,5,7,3,2]=>[8,1,5,3,4,2,6,7]=>0000000
[5,4,2,7,3,1,8,6]=>[1,5,3,2,4,7,8,6]=>[1,3,5,2,4,8,7,6]=>[8,6,4,7,5,1,2,3]=>0000000
[7,5,3,8,4,2,6,1]=>[1,7,6,2,5,4,8,3]=>[1,6,7,5,3,8,4,2]=>[8,3,2,4,6,1,5,7]=>0000000
[5,3,1,7,8,4,6,2]=>[1,5,8,2,3,4,7,6]=>[1,8,2,3,5,7,4,6]=>[8,1,7,6,4,2,5,3]=>0000000
[5,3,2,7,8,4,6,1]=>[1,5,8,2,3,4,7,6]=>[1,8,2,3,5,7,4,6]=>[8,1,7,6,4,2,5,3]=>0000000
[6,5,1,7,8,2,3,4]=>[1,6,2,5,8,4,7,3]=>[1,6,7,8,2,5,4,3]=>[8,3,2,1,7,4,5,6]=>0000000
[6,1,3,5,2,8,4,7]=>[1,6,8,7,4,5,2,3]=>[1,5,2,7,4,6,8,3]=>[8,4,7,2,5,3,1,6]=>0000000
[2,7,6,4,8,3,5,1]=>[1,2,7,5,8,3,6,4]=>[1,2,8,6,7,3,5,4]=>[8,7,1,3,2,6,4,5]=>0000000
[8,4,7,6,3,1,5,2]=>[1,8,2,4,6,3,7,5]=>[1,8,6,2,7,4,3,5]=>[8,1,3,7,2,5,6,4]=>0000000
[6,8,7,1,3,2,5,4]=>[1,6,2,8,4,3,7,5]=>[1,6,4,8,7,2,3,5]=>[8,3,5,1,2,7,6,4]=>0000000
[4,6,7,8,3,1,5,2]=>[1,4,8,2,6,3,7,5]=>[1,8,6,4,7,2,3,5]=>[8,1,3,5,2,7,6,4]=>0000000
[6,3,8,4,2,1,7,5]=>[1,6,2,3,8,5,4,7]=>[1,6,2,5,8,3,4,7]=>[8,3,7,4,1,6,5,2]=>0000000
[2,5,8,3,1,6,7,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[5,1,8,3,4,6,7,2]=>[1,5,4,3,8,2,6,7]=>[1,8,4,5,3,2,6,7]=>[8,1,5,4,6,7,3,2]=>0000000
[4,8,7,2,1,6,3,5]=>[1,4,2,8,5,3,7,6]=>[1,4,5,2,8,7,3,6]=>[8,5,4,7,1,2,6,3]=>0000000
[2,8,1,6,3,4,7,5]=>[1,2,8,5,3,4,6,7]=>[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>0000000
[3,6,1,2,5,8,4,7]=>[1,3,2,6,8,7,4,5]=>[1,3,2,7,4,6,8,5]=>[8,6,7,2,5,3,1,4]=>0000000
[1,4,5,8,2,3,7,6]=>[1,2,4,8,6,3,5,7]=>[1,2,6,4,3,8,5,7]=>[8,7,3,5,6,1,4,2]=>0000000
[2,7,1,4,3,6,8,5]=>[1,2,7,8,5,3,4,6]=>[1,2,5,3,8,4,7,6]=>[8,7,4,6,1,5,2,3]=>0000000
[1,7,3,5,8,2,6,4]=>[1,2,7,6,3,4,5,8]=>[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>0000000
[1,8,4,2,6,7,3,5]=>[1,2,8,5,6,7,3,4]=>[1,2,7,3,8,5,6,4]=>[8,7,2,6,1,4,3,5]=>0000000
[4,1,7,2,6,8,3,5]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000
[8,1,3,2,4,6,7,5]=>[1,8,5,4,2,3,6,7]=>[1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>0000000
[7,3,1,2,4,6,8,5]=>[1,7,8,5,4,2,3,6]=>[1,4,2,5,8,3,7,6]=>[8,5,7,4,1,6,2,3]=>0000000
[1,3,7,4,8,2,6,5]=>[1,2,3,7,6,4,5,8]=>[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>0000000
[2,6,7,3,8,1,5,4]=>[1,2,6,3,7,5,8,4]=>[1,2,6,8,7,3,5,4]=>[8,7,3,1,2,6,4,5]=>0000000
[3,7,2,8,6,1,5,4]=>[1,3,2,7,5,6,4,8]=>[1,3,2,6,7,5,4,8]=>[8,6,7,3,2,4,5,1]=>0000000
[4,7,2,8,3,6,5,1]=>[1,4,8,2,7,5,3,6]=>[1,8,5,4,7,3,2,6]=>[8,1,4,5,2,6,7,3]=>0000000
[4,1,7,8,5,3,6,2]=>[1,4,8,2,3,7,6,5]=>[1,8,2,4,6,7,3,5]=>[8,1,7,5,3,2,6,4]=>0000000
[4,1,8,7,5,3,6,2]=>[1,4,7,6,3,8,2,5]=>[1,8,6,4,2,7,3,5]=>[8,1,3,5,7,2,6,4]=>0000000
[3,8,7,2,4,1,5,6]=>[1,3,7,5,4,2,8,6]=>[1,4,3,5,7,8,2,6]=>[8,5,6,4,2,1,7,3]=>0000000
[1,7,4,5,8,3,2,6]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>0000000
[2,6,4,7,8,3,5,1]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>0000000
[1,2,6,4,7,8,3,5]=>[1,2,3,6,8,5,7,4]=>[1,2,3,7,8,6,5,4]=>[8,7,6,2,1,3,4,5]=>0000000
[2,7,4,5,8,1,3,6]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>0000000
[2,7,5,3,1,8,4,6]=>[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000
[3,6,4,7,8,1,5,2]=>[1,3,4,7,5,8,2,6]=>[1,8,3,4,7,2,5,6]=>[8,1,6,5,2,7,4,3]=>0000000
[3,7,4,5,2,1,8,6]=>[1,3,4,5,2,7,8,6]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>0000000
[6,1,7,3,8,2,5,4]=>[1,6,2,3,7,5,8,4]=>[1,6,2,8,7,3,5,4]=>[8,3,7,1,2,6,4,5]=>0000000
[1,6,7,3,8,2,5,4]=>[1,2,6,3,7,5,8,4]=>[1,2,6,8,7,3,5,4]=>[8,7,3,1,2,6,4,5]=>0000000
[4,3,7,8,1,6,2,5]=>[1,4,8,5,2,3,7,6]=>[1,5,2,4,8,7,3,6]=>[8,4,7,5,1,2,6,3]=>0000000
[4,8,1,2,7,3,5,6]=>[1,4,2,8,6,3,5,7]=>[1,4,6,2,3,8,5,7]=>[8,5,3,7,6,1,4,2]=>0000000
[5,6,8,4,1,3,7,2]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[8,4,3,1,7,6,5,2]=>0000000
[2,5,8,7,3,6,4,1]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>[8,7,4,1,6,2,5,3]=>0000000
[2,4,8,7,5,6,1,3]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]=>[8,7,2,5,1,4,6,3]=>0000000
[6,4,8,7,5,1,2,3]=>[1,6,2,4,7,3,8,5]=>[1,6,7,2,8,4,3,5]=>[8,3,2,7,1,5,6,4]=>0000000
[6,3,8,7,2,1,4,5]=>[1,6,2,3,8,5,4,7]=>[1,6,2,5,8,3,4,7]=>[8,3,7,4,1,6,5,2]=>0000000
[2,6,7,8,5,1,3,4]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>0000000
[5,4,7,8,2,6,3,1]=>[1,5,2,4,8,3,7,6]=>[1,5,8,2,4,7,3,6]=>[8,4,1,7,5,2,6,3]=>0000000
[6,8,7,1,5,2,3,4]=>[1,6,2,8,4,3,7,5]=>[1,6,4,8,7,2,3,5]=>[8,3,5,1,2,7,6,4]=>0000000
[4,6,8,5,3,2,7,1]=>[1,4,5,3,8,2,6,7]=>[1,8,5,4,3,2,6,7]=>[8,1,4,5,6,7,3,2]=>0000000
[3,4,8,7,5,6,2,1]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[8,1,6,7,2,4,5,3]=>0000000
[8,3,5,4,1,6,7,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[8,1,7,4,6,5,3,2]=>0000000
[8,3,7,1,4,6,5,2]=>[1,8,2,3,7,5,4,6]=>[1,8,2,5,7,4,3,6]=>[8,1,7,4,2,5,6,3]=>0000000
[6,7,2,1,5,8,4,3]=>[1,6,8,3,2,7,4,5]=>[1,3,8,7,4,6,2,5]=>[8,6,1,2,5,3,7,4]=>0000000
[6,7,4,2,1,3,8,5]=>[1,6,3,4,2,7,8,5]=>[1,4,6,3,8,2,7,5]=>[8,5,3,6,1,7,2,4]=>0000000
[8,3,7,4,5,6,1,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>0000000
[2,8,3,1,4,5,6,7]=>[1,2,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,3]=>[8,7,5,4,3,2,1,6]=>0000000
[6,5,7,4,1,8,2,3]=>[1,6,8,3,7,2,5,4]=>[1,7,8,5,2,6,3,4]=>[8,2,1,4,7,3,6,5]=>0000000
[4,8,1,3,5,7,2,6]=>[1,4,3,2,8,6,7,5]=>[1,3,4,2,7,8,6,5]=>[8,6,5,7,2,1,3,4]=>0000000
[4,7,3,1,8,2,5,6]=>[1,4,2,7,5,8,6,3]=>[1,4,6,2,8,7,3,5]=>[8,5,3,7,1,2,6,4]=>0000000
[3,1,8,5,4,7,6,2]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>0000000
[4,1,5,8,3,7,6,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>0000000
[4,6,8,2,7,5,1,3]=>[1,4,2,6,5,7,3,8]=>[1,4,7,2,6,5,3,8]=>[8,5,2,7,3,4,6,1]=>0000000
[5,6,2,7,4,1,8,3]=>[1,5,4,7,8,3,2,6]=>[1,3,8,5,4,2,7,6]=>[8,6,1,4,5,7,2,3]=>0000000
[5,6,7,2,1,3,8,4]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>[8,4,3,1,7,6,2,5]=>0000000
[5,6,1,7,2,4,8,3]=>[1,5,2,6,4,7,8,3]=>[1,5,8,6,2,4,7,3]=>[8,4,1,3,7,5,2,6]=>0000000
[4,6,8,1,7,5,2,3]=>[1,4,2,6,5,7,3,8]=>[1,4,7,2,6,5,3,8]=>[8,5,2,7,3,4,6,1]=>0000000
[5,6,7,3,1,2,8,4]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>[8,4,3,1,7,6,2,5]=>0000000
[3,1,7,8,5,2,6,4]=>[1,3,7,6,2,4,8,5]=>[1,6,3,2,7,8,5,4]=>[8,3,6,7,2,1,4,5]=>0000000
[1,3,7,5,8,2,6,4]=>[1,2,3,7,6,4,5,8]=>[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>0000000
[5,3,7,8,4,6,1,2]=>[1,5,4,8,2,3,7,6]=>[1,8,2,5,4,7,3,6]=>[8,1,7,4,5,2,6,3]=>0000000
[5,3,7,8,4,1,6,2]=>[1,5,4,8,2,3,7,6]=>[1,8,2,5,4,7,3,6]=>[8,1,7,4,5,2,6,3]=>0000000
[6,8,2,3,7,1,4,5]=>[1,6,2,8,5,7,4,3]=>[1,6,4,7,8,2,5,3]=>[8,3,5,2,1,7,4,6]=>0000000
[5,2,8,4,6,1,3,7]=>[1,5,6,2,3,8,7,4]=>[1,6,2,7,5,3,8,4]=>[8,3,7,2,4,6,1,5]=>0000000
[5,1,8,4,6,2,3,7]=>[1,5,6,2,3,8,7,4]=>[1,6,2,7,5,3,8,4]=>[8,3,7,2,4,6,1,5]=>0000000
[5,8,4,1,6,2,3,7]=>[1,5,6,2,8,7,3,4]=>[1,6,7,3,5,2,8,4]=>[8,3,2,6,4,7,1,5]=>0000000
[2,1,5,4,8,3,6,7]=>[1,2,3,5,8,7,6,4]=>[1,2,3,6,5,7,8,4]=>[8,7,6,3,4,2,1,5]=>0000000
[3,8,4,2,1,5,6,7]=>[1,3,4,2,8,7,6,5]=>[1,4,3,2,6,7,8,5]=>[8,5,6,7,3,2,1,4]=>0000000
[2,3,8,4,1,5,6,7]=>[1,2,3,8,7,6,5,4]=>[1,2,3,5,6,7,8,4]=>[8,7,6,4,3,2,1,5]=>0000000
[3,4,2,8,1,5,6,7]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,6,7,8,5]=>[8,6,7,5,3,2,1,4]=>0000000
[2,1,4,8,5,3,6,7]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>0000000
[3,8,4,2,6,7,5,1]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>[8,5,6,7,1,4,3,2]=>0000000
[3,8,4,1,6,7,5,2]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>[8,5,6,7,1,4,3,2]=>0000000
[3,8,4,2,1,6,7,5]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>[8,5,6,7,1,4,3,2]=>0000000
[2,5,7,6,1,4,8,3]=>[1,2,5,3,7,8,4,6]=>[1,2,5,8,3,4,7,6]=>[8,7,4,1,6,5,2,3]=>0000000
[2,6,7,5,1,3,8,4]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>[8,7,3,1,5,6,2,4]=>0000000
[7,8,4,1,5,6,3,2]=>[1,7,3,4,2,8,5,6]=>[1,4,7,3,8,5,2,6]=>[8,5,2,6,1,4,7,3]=>0000000
[5,3,8,4,1,6,7,2]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>0000000
[3,4,8,5,1,6,7,2]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>0000000
[5,3,8,1,4,6,7,2]=>[1,5,4,2,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>[8,5,7,4,6,1,3,2]=>0000000
[7,4,2,8,1,5,3,6]=>[1,7,3,2,4,8,6,5]=>[1,3,7,2,6,8,4,5]=>[8,6,2,7,3,1,5,4]=>0000000
[6,1,5,7,8,4,3,2]=>[1,6,4,7,3,5,8,2]=>[1,8,7,6,3,4,5,2]=>[8,1,2,3,6,5,4,7]=>0000000
[3,1,8,4,5,6,7,2]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>0000000
[6,5,7,1,8,4,3,2]=>[1,6,4,2,5,8,3,7]=>[1,4,6,8,3,5,2,7]=>[8,5,3,1,6,4,7,2]=>0000000
[7,1,2,8,4,5,3,6]=>[1,7,3,2,4,8,6,5]=>[1,3,7,2,6,8,4,5]=>[8,6,2,7,3,1,5,4]=>0000000
[1,8,7,5,3,2,4,6]=>[1,2,8,6,3,7,4,5]=>[1,2,6,8,3,7,4,5]=>[8,7,3,1,6,2,5,4]=>0000000
[8,7,4,2,5,3,6,1]=>[1,8,2,7,6,3,4,5]=>[1,8,6,3,4,7,2,5]=>[8,1,3,6,5,2,7,4]=>0000000
[2,6,5,4,7,1,3,8]=>[1,2,6,3,5,7,4,8]=>[1,2,6,7,3,5,4,8]=>[8,7,3,2,6,4,5,1]=>0000000
[1,5,3,8,7,4,2,6]=>[1,2,5,7,3,4,8,6]=>[1,2,7,3,5,8,4,6]=>[8,7,2,6,4,1,5,3]=>0000000
[7,4,2,8,6,3,5,1]=>[1,7,5,6,3,2,4,8]=>[1,3,6,2,7,5,4,8]=>[8,6,3,7,2,4,5,1]=>0000000
[5,3,6,1,8,7,4,2]=>[1,5,8,2,3,6,7,4]=>[1,8,2,7,5,3,6,4]=>[8,1,7,2,4,6,3,5]=>0000000
[2,8,7,5,4,6,1,3]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[8,7,1,2,5,4,6,3]=>0000000
[2,8,6,4,7,5,1,3]=>[1,2,8,3,6,5,7,4]=>[1,2,8,7,6,3,5,4]=>[8,7,1,2,3,6,4,5]=>0000000
[6,3,7,4,1,8,5,2]=>[1,6,8,2,3,7,5,4]=>[1,8,2,5,7,6,3,4]=>[8,1,7,4,2,3,6,5]=>0000000
[8,6,3,7,4,2,5,1]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[8,1,3,6,2,7,5,4]=>0000000
[8,6,3,2,4,7,5,1]=>[1,8,2,6,7,5,4,3]=>[1,8,4,5,7,2,6,3]=>[8,1,5,4,2,7,3,6]=>0000000
[6,1,8,7,5,3,2,4]=>[1,6,3,8,4,7,2,5]=>[1,7,6,8,2,3,4,5]=>[8,2,3,1,7,6,5,4]=>0000000
[8,7,4,2,5,3,1,6]=>[1,8,6,3,4,2,7,5]=>[1,4,6,3,8,7,5,2]=>[8,5,3,6,1,2,4,7]=>0000000
[5,3,1,8,7,4,2,6]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[8,2,7,6,4,1,5,3]=>0000000
[4,1,8,6,3,2,7,5]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[8,3,7,5,1,6,4,2]=>0000000
[7,4,2,8,6,3,1,5]=>[1,7,2,4,8,5,6,3]=>[1,7,6,2,8,5,4,3]=>[8,2,3,7,1,4,5,6]=>0000000
[1,8,5,2,7,4,6,3]=>[1,2,8,3,5,7,6,4]=>[1,2,8,6,3,7,5,4]=>[8,7,1,3,6,2,4,5]=>0000000
[4,1,7,5,8,6,3,2]=>[1,4,5,8,2,3,7,6]=>[1,8,2,4,5,7,3,6]=>[8,1,7,5,4,2,6,3]=>0000000
[2,3,1,7,5,8,6,4]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>0000000
[3,6,5,2,1,4,8,7]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[8,4,6,3,7,5,2,1]=>0000000
[5,1,7,4,8,3,2,6]=>[1,5,8,6,3,7,2,4]=>[1,7,6,2,5,8,3,4]=>[8,2,3,7,4,1,6,5]=>0000000
[4,6,2,7,3,1,8,5]=>[1,4,7,8,5,3,2,6]=>[1,3,5,4,8,2,7,6]=>[8,6,4,5,1,7,2,3]=>0000000
[5,3,4,8,1,2,7,6]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[7,4,3,8,1,6,2,5]=>[1,7,2,4,8,5,3,6]=>[1,7,5,2,8,3,4,6]=>[8,2,4,7,1,6,5,3]=>0000000
[4,6,3,8,1,7,2,5]=>[1,4,8,5,2,6,7,3]=>[1,5,8,4,7,3,6,2]=>[8,4,1,5,2,6,3,7]=>0000000
[1,8,7,4,2,6,3,5]=>[1,2,8,5,3,7,4,6]=>[1,2,5,8,7,3,4,6]=>[8,7,4,1,2,6,5,3]=>0000000
[7,2,8,5,6,1,3,4]=>[1,7,3,8,4,5,6,2]=>[1,6,7,8,4,5,3,2]=>[8,3,2,1,5,4,6,7]=>0000000
[5,2,8,6,7,1,3,4]=>[1,5,7,3,8,4,6,2]=>[1,6,7,8,5,4,3,2]=>[8,3,2,1,4,5,6,7]=>0000000
[1,8,3,2,7,6,4,5]=>[1,2,8,5,7,4,3,6]=>[1,2,4,7,8,3,5,6]=>[8,7,5,2,1,6,4,3]=>0000000
[1,8,5,7,6,2,3,4]=>[1,2,8,4,7,3,5,6]=>[1,2,7,8,3,5,4,6]=>[8,7,2,1,6,4,5,3]=>0000000
[2,5,8,7,6,1,3,4]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>[8,7,3,1,4,6,5,2]=>0000000
[1,8,6,7,5,2,3,4]=>[1,2,8,4,7,3,6,5]=>[1,2,7,8,6,3,4,5]=>[8,7,2,1,3,6,5,4]=>0000000
[2,7,8,6,5,1,3,4]=>[1,2,7,3,8,4,6,5]=>[1,2,7,8,6,4,3,5]=>[8,7,2,1,3,5,6,4]=>0000000
[3,7,1,5,2,8,6,4]=>[1,3,2,7,6,8,4,5]=>[1,3,2,8,4,7,6,5]=>[8,6,7,1,5,2,3,4]=>0000000
[8,2,3,5,1,7,6,4]=>[1,8,4,5,2,3,6,7]=>[1,5,2,8,4,3,6,7]=>[8,4,7,1,5,6,3,2]=>0000000
[5,1,7,4,3,8,2,6]=>[1,5,3,7,2,4,6,8]=>[1,7,5,2,3,4,6,8]=>[8,2,4,7,6,5,3,1]=>0000000
[7,4,8,2,1,5,3,6]=>[1,7,3,8,6,5,2,4]=>[1,5,6,2,8,7,3,4]=>[8,4,3,7,1,2,6,5]=>0000000
[5,3,1,6,2,8,4,7]=>[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>0000000
[7,4,3,8,1,5,2,6]=>[1,7,2,4,8,6,5,3]=>[1,7,5,2,6,8,4,3]=>[8,2,4,7,3,1,5,6]=>0000000
[7,3,4,2,8,5,1,6]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>0000000
[3,8,6,1,5,2,7,4]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[8,3,6,1,5,7,4,2]=>0000000
[3,5,2,7,1,6,8,4]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>0000000
[4,5,7,2,8,6,1,3]=>[1,4,2,5,8,3,7,6]=>[1,4,8,2,5,7,3,6]=>[8,5,1,7,4,2,6,3]=>0000000
[1,3,6,7,4,8,5,2]=>[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,4,5]=>[8,7,6,1,2,3,5,4]=>0000000
[3,7,6,5,1,2,8,4]=>[1,3,6,2,7,8,4,5]=>[1,6,3,8,4,2,7,5]=>[8,3,6,1,5,7,2,4]=>0000000
[4,7,2,6,1,3,8,5]=>[1,4,6,3,2,7,8,5]=>[1,3,6,4,8,2,7,5]=>[8,6,3,5,1,7,2,4]=>0000000
[2,3,6,5,8,1,4,7]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>0000000
[2,3,5,8,6,1,4,7]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>0000000
[1,2,3,7,4,6,8,5]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>0000000
[2,1,5,3,8,7,4,6]=>[1,2,3,5,8,6,7,4]=>[1,2,3,7,5,8,6,4]=>[8,7,6,2,4,1,3,5]=>0000000
[4,2,7,1,8,3,5,6]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[8,5,7,6,2,1,4,3]=>0000000
[1,2,3,6,8,7,4,5]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>0000000
[4,6,3,8,5,7,2,1]=>[1,4,8,2,6,7,3,5]=>[1,8,7,4,3,2,6,5]=>[8,1,2,5,6,7,3,4]=>0000000
[2,6,8,3,7,4,5,1]=>[1,2,6,4,3,8,5,7]=>[1,2,4,6,8,3,5,7]=>[8,7,5,3,1,6,4,2]=>0000000
[3,5,4,8,7,2,6,1]=>[1,3,4,8,2,5,7,6]=>[1,8,3,4,2,7,5,6]=>[8,1,6,5,7,2,4,3]=>0000000
[6,3,7,8,4,5,2,1]=>[1,6,5,4,8,2,3,7]=>[1,8,2,5,6,4,3,7]=>[8,1,7,4,3,5,6,2]=>0000000
[4,2,8,6,5,7,3,1]=>[1,4,6,7,3,8,2,5]=>[1,8,7,4,2,6,3,5]=>[8,1,2,5,7,3,6,4]=>0000000
[2,3,8,7,5,4,6,1]=>[1,2,3,8,4,7,6,5]=>[1,2,3,8,6,7,4,5]=>[8,7,6,1,3,2,5,4]=>0000000
[4,2,7,1,3,8,5,6]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000
[3,7,1,2,5,8,6,4]=>[1,3,2,7,6,8,4,5]=>[1,3,2,8,4,7,6,5]=>[8,6,7,1,5,2,3,4]=>0000000
[3,7,4,1,2,8,5,6]=>[1,3,4,2,7,5,6,8]=>[1,4,3,2,7,5,6,8]=>[8,5,6,7,2,4,3,1]=>0000000
[8,2,6,3,7,1,4,5]=>[1,8,5,7,4,3,6,2]=>[1,6,4,7,8,3,5,2]=>[8,3,5,2,1,6,4,7]=>0000000
[8,5,7,1,2,4,6,3]=>[1,8,3,7,6,4,2,5]=>[1,4,6,7,2,8,3,5]=>[8,5,3,2,7,1,6,4]=>0000000
[4,1,7,8,2,3,6,5]=>[1,4,8,5,2,3,7,6]=>[1,5,2,4,8,7,3,6]=>[8,4,7,5,1,2,6,3]=>0000000
[5,3,8,1,6,2,4,7]=>[1,5,6,2,3,8,7,4]=>[1,6,2,7,5,3,8,4]=>[8,3,7,2,4,6,1,5]=>0000000
[7,2,8,1,6,3,4,5]=>[1,7,4,2,3,8,5,6]=>[1,4,2,7,8,5,3,6]=>[8,5,7,2,1,4,6,3]=>0000000
[4,7,8,2,5,1,3,6]=>[1,4,2,7,3,8,6,5]=>[1,4,7,2,6,8,3,5]=>[8,5,2,7,3,1,6,4]=>0000000
[4,8,7,1,2,3,6,5]=>[1,4,2,8,5,3,7,6]=>[1,4,5,2,8,7,3,6]=>[8,5,4,7,1,2,6,3]=>0000000
[5,8,7,1,2,4,6,3]=>[1,5,2,8,3,7,6,4]=>[1,5,8,6,2,7,3,4]=>[8,4,1,3,7,2,6,5]=>0000000
[8,6,1,4,2,3,7,5]=>[1,8,5,2,6,3,4,7]=>[1,5,8,2,6,3,4,7]=>[8,4,1,7,3,6,5,2]=>0000000
[1,8,7,4,3,6,2,5]=>[1,2,8,5,3,7,4,6]=>[1,2,5,8,7,3,4,6]=>[8,7,4,1,2,6,5,3]=>0000000
[1,7,8,4,2,3,6,5]=>[1,2,7,6,3,8,5,4]=>[1,2,6,5,7,8,4,3]=>[8,7,3,4,2,1,5,6]=>0000000
[1,4,7,3,6,2,8,5]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,5,7,6]=>[8,7,5,6,1,4,2,3]=>0000000
[4,2,3,8,5,7,1,6]=>[1,4,8,6,7,2,3,5]=>[1,7,2,4,3,8,6,5]=>[8,2,7,5,6,1,3,4]=>0000000
[8,2,3,5,4,7,1,6]=>[1,8,6,7,2,3,4,5]=>[1,7,2,3,4,8,6,5]=>[8,2,7,6,5,1,3,4]=>0000000
[6,1,8,3,4,2,7,5]=>[1,6,2,3,8,5,4,7]=>[1,6,2,5,8,3,4,7]=>[8,3,7,4,1,6,5,2]=>0000000
[7,3,8,1,2,6,4,5]=>[1,7,4,2,3,8,5,6]=>[1,4,2,7,8,5,3,6]=>[8,5,7,2,1,4,6,3]=>0000000
[4,3,8,1,5,7,2,6]=>[1,4,2,3,8,6,7,5]=>[1,4,2,3,7,8,6,5]=>[8,5,7,6,2,1,3,4]=>0000000
[5,3,7,4,8,6,2,1]=>[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]=>[8,1,7,2,4,5,6,3]=>0000000
[2,7,8,4,5,1,6,3]=>[1,2,7,6,3,8,4,5]=>[1,2,6,7,3,8,4,5]=>[8,7,3,2,6,1,5,4]=>0000000
[8,4,1,2,5,6,7,3]=>[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>0000000
[6,8,3,1,2,5,7,4]=>[1,6,5,2,8,4,3,7]=>[1,5,4,6,8,3,2,7]=>[8,4,5,3,1,6,7,2]=>0000000
[8,5,1,7,2,6,4,3]=>[1,8,3,2,5,4,7,6]=>[1,3,8,5,2,7,4,6]=>[8,6,1,4,7,2,5,3]=>0000000
[3,5,2,7,6,4,1,8]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>0000000
[3,5,2,7,6,1,4,8]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>0000000
[3,7,5,4,1,8,2,6]=>[1,3,5,2,7,4,6,8]=>[1,5,3,7,2,4,6,8]=>[8,4,6,2,7,5,3,1]=>0000000
[3,7,5,4,1,8,6,2]=>[1,3,5,2,7,6,8,4]=>[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>0000000
[3,5,4,2,7,1,6,8]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>0000000
[3,5,2,7,1,4,8,6]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>0000000
[3,7,5,2,1,8,6,4]=>[1,3,5,2,7,6,8,4]=>[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>0000000
[3,7,2,5,1,8,6,4]=>[1,3,2,7,6,8,4,5]=>[1,3,2,8,4,7,6,5]=>[8,6,7,1,5,2,3,4]=>0000000
[3,7,5,2,1,8,4,6]=>[1,3,5,2,7,4,6,8]=>[1,5,3,7,2,4,6,8]=>[8,4,6,2,7,5,3,1]=>0000000
[3,7,6,4,1,8,5,2]=>[1,3,6,8,2,7,5,4]=>[1,8,3,5,7,6,2,4]=>[8,1,6,4,2,3,7,5]=>0000000
[8,4,2,7,5,1,3,6]=>[1,8,6,2,4,7,3,5]=>[1,6,8,3,2,7,4,5]=>[8,3,1,6,7,2,5,4]=>0000000
[7,4,2,8,5,1,3,6]=>[1,7,3,2,4,8,6,5]=>[1,3,7,2,6,8,4,5]=>[8,6,2,7,3,1,5,4]=>0000000
[7,5,3,4,2,8,1,6]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[8,2,4,6,7,5,3,1]=>0000000
[2,7,5,4,8,1,3,6]=>[1,2,7,3,5,8,6,4]=>[1,2,7,6,3,8,5,4]=>[8,7,2,3,6,1,4,5]=>0000000
[3,6,4,2,8,7,1,5]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>0000000
[4,5,6,1,7,3,8,2]=>[1,4,2,5,7,8,3,6]=>[1,4,8,2,5,3,7,6]=>[8,5,1,7,4,6,2,3]=>0000000
[1,5,6,4,8,7,2,3]=>[1,2,5,8,3,6,7,4]=>[1,2,8,7,5,3,6,4]=>[8,7,1,2,4,6,3,5]=>0000000
[3,6,4,1,8,7,2,5]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>0000000
[7,2,3,1,5,8,6,4]=>[1,7,6,8,4,2,3,5]=>[1,4,2,8,3,7,6,5]=>[8,5,7,1,6,2,3,4]=>0000000
[7,2,3,1,4,8,6,5]=>[1,7,6,8,5,4,2,3]=>[1,4,2,5,8,7,6,3]=>[8,5,7,4,1,2,3,6]=>0000000
[2,5,6,4,8,3,1,7]=>[1,2,5,8,7,3,6,4]=>[1,2,7,6,5,3,8,4]=>[8,7,2,3,4,6,1,5]=>0000000
[3,5,6,1,4,7,8,2]=>[1,3,6,7,8,2,5,4]=>[1,8,3,5,2,6,7,4]=>[8,1,6,4,7,3,2,5]=>0000000
[7,6,1,3,4,5,8,2]=>[1,7,8,2,6,5,4,3]=>[1,8,4,5,6,2,7,3]=>[8,1,5,4,3,7,2,6]=>0000000
[3,5,7,1,8,4,2,6]=>[1,3,7,2,5,8,6,4]=>[1,7,3,6,2,8,5,4]=>[8,2,6,3,7,1,4,5]=>0000000
[8,2,6,7,1,4,5,3]=>[1,8,3,6,4,7,5,2]=>[1,5,7,8,6,4,2,3]=>[8,4,2,1,3,5,7,6]=>0000000
[4,6,2,3,5,8,1,7]=>[1,4,3,2,6,8,7,5]=>[1,3,4,2,7,6,8,5]=>[8,6,5,7,2,3,1,4]=>0000000
[4,2,3,6,1,8,5,7]=>[1,4,6,8,7,5,2,3]=>[1,5,2,4,7,6,8,3]=>[8,4,7,5,2,3,1,6]=>0000000
[2,4,8,1,3,6,7,5]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[2,1,4,8,6,3,7,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[2,8,1,4,6,7,3,5]=>[1,2,8,5,6,7,3,4]=>[1,2,7,3,8,5,6,4]=>[8,7,2,6,1,4,3,5]=>0000000
[5,1,3,8,7,6,4,2]=>[1,5,7,4,8,2,3,6]=>[1,8,2,7,5,3,4,6]=>[8,1,7,2,4,6,5,3]=>0000000
[5,3,6,8,7,1,4,2]=>[1,5,7,4,8,2,3,6]=>[1,8,2,7,5,3,4,6]=>[8,1,7,2,4,6,5,3]=>0000000
[5,2,8,3,7,1,6,4]=>[1,5,7,6,2,3,8,4]=>[1,6,2,7,5,8,4,3]=>[8,3,7,2,4,1,5,6]=>0000000
[5,3,8,1,7,2,6,4]=>[1,5,7,6,2,3,8,4]=>[1,6,2,7,5,8,4,3]=>[8,3,7,2,4,1,5,6]=>0000000
[6,2,8,3,4,7,5,1]=>[1,6,7,5,4,3,8,2]=>[1,8,4,5,7,6,3,2]=>[8,1,5,4,2,3,6,7]=>0000000
[7,8,4,2,5,3,1,6]=>[1,7,2,8,6,3,4,5]=>[1,7,6,3,4,8,2,5]=>[8,2,3,6,5,1,7,4]=>0000000
[4,2,7,8,5,3,1,6]=>[1,4,8,6,3,7,2,5]=>[1,7,6,4,2,8,3,5]=>[8,2,3,5,7,1,6,4]=>0000000
[7,6,4,2,1,8,3,5]=>[1,7,3,4,2,6,8,5]=>[1,4,7,3,8,2,6,5]=>[8,5,2,6,1,7,3,4]=>0000000
[7,4,1,5,2,8,6,3]=>[1,7,6,8,3,2,4,5]=>[1,3,8,2,4,7,6,5]=>[8,6,1,7,5,2,3,4]=>0000000
[8,6,4,7,5,2,1,3]=>[1,8,3,4,7,2,6,5]=>[1,7,8,3,6,2,4,5]=>[8,2,1,6,3,7,5,4]=>0000000
[6,3,1,4,8,7,5,2]=>[1,6,7,5,8,2,3,4]=>[1,8,2,3,7,6,5,4]=>[8,1,7,6,2,3,4,5]=>0000000
[8,6,3,1,4,7,5,2]=>[1,8,2,6,7,5,4,3]=>[1,8,4,5,7,2,6,3]=>[8,1,5,4,2,7,3,6]=>0000000
[7,4,1,8,6,3,5,2]=>[1,7,5,6,3,2,4,8]=>[1,3,6,2,7,5,4,8]=>[8,6,3,7,2,4,5,1]=>0000000
[3,6,7,4,8,1,5,2]=>[1,3,7,5,8,2,6,4]=>[1,8,3,6,7,2,5,4]=>[8,1,6,3,2,7,4,5]=>0000000
[1,4,7,8,2,6,5,3]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[8,7,1,5,2,4,6,3]=>0000000
[2,4,7,8,1,6,5,3]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[8,7,1,5,2,4,6,3]=>0000000
[5,1,8,4,2,7,6,3]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>0000000
[6,8,3,7,1,5,4,2]=>[1,6,5,2,8,3,4,7]=>[1,5,6,2,8,3,4,7]=>[8,4,3,7,1,6,5,2]=>0000000
[5,7,4,1,2,8,6,3]=>[1,5,2,7,6,8,3,4]=>[1,5,8,3,2,7,6,4]=>[8,4,1,6,7,2,3,5]=>0000000
[6,3,7,1,2,8,5,4]=>[1,6,8,4,2,3,7,5]=>[1,4,2,8,7,6,3,5]=>[8,5,7,1,2,3,6,4]=>0000000
[3,5,8,4,7,2,6,1]=>[1,3,8,2,5,7,6,4]=>[1,8,3,6,2,7,5,4]=>[8,1,6,3,7,2,4,5]=>0000000
[2,5,8,4,7,3,6,1]=>[1,2,5,7,6,3,8,4]=>[1,2,6,7,5,8,4,3]=>[8,7,3,2,4,1,5,6]=>0000000
[3,5,4,1,6,2,7,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[3,5,8,4,7,1,6,2]=>[1,3,8,2,5,7,6,4]=>[1,8,3,6,2,7,5,4]=>[8,1,6,3,7,2,4,5]=>0000000
[1,5,8,4,7,3,6,2]=>[1,2,5,7,6,3,8,4]=>[1,2,6,7,5,8,4,3]=>[8,7,3,2,4,1,5,6]=>0000000
[1,6,4,2,7,8,3,5]=>[1,2,6,8,5,7,3,4]=>[1,2,7,3,8,6,5,4]=>[8,7,2,6,1,3,4,5]=>0000000
[2,6,4,3,7,1,8,5]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[2,6,4,1,7,8,3,5]=>[1,2,6,8,5,7,3,4]=>[1,2,7,3,8,6,5,4]=>[8,7,2,6,1,3,4,5]=>0000000
[7,2,3,4,8,6,5,1]=>[1,7,5,8,2,3,4,6]=>[1,8,2,3,7,4,5,6]=>[8,1,7,6,2,5,4,3]=>0000000
[7,2,3,1,8,6,4,5]=>[1,7,4,2,3,5,8,6]=>[1,4,2,7,3,8,5,6]=>[8,5,7,2,6,1,4,3]=>0000000
[7,3,8,6,1,4,2,5]=>[1,7,2,3,8,5,4,6]=>[1,7,2,5,8,4,3,6]=>[8,2,7,4,1,5,6,3]=>0000000
[7,2,8,6,3,4,1,5]=>[1,7,2,3,8,5,4,6]=>[1,7,2,5,8,4,3,6]=>[8,2,7,4,1,5,6,3]=>0000000
[1,5,8,4,7,6,2,3]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[8,7,2,1,4,5,6,3]=>0000000
[7,1,3,8,2,6,5,4]=>[1,7,5,2,3,4,8,6]=>[1,5,2,3,7,8,4,6]=>[8,4,7,6,2,1,5,3]=>0000000
[4,1,6,5,8,2,7,3]=>[1,4,5,8,3,6,2,7]=>[1,6,8,4,5,3,2,7]=>[8,3,1,5,4,6,7,2]=>0000000
[4,3,7,1,6,5,8,2]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[8,5,7,6,1,4,2,3]=>0000000
[4,3,7,5,8,1,6,2]=>[1,4,5,8,2,3,7,6]=>[1,8,2,4,5,7,3,6]=>[8,1,7,5,4,2,6,3]=>0000000
[4,3,7,5,8,2,6,1]=>[1,4,5,8,2,3,7,6]=>[1,8,2,4,5,7,3,6]=>[8,1,7,5,4,2,6,3]=>0000000
[4,3,7,1,6,2,8,5]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[8,5,7,6,1,4,2,3]=>0000000
[5,4,8,2,6,3,7,1]=>[1,5,6,3,8,2,4,7]=>[1,8,6,2,5,3,4,7]=>[8,1,3,7,4,6,5,2]=>0000000
[6,8,3,2,1,4,7,5]=>[1,6,4,2,8,5,3,7]=>[1,4,6,5,8,3,2,7]=>[8,5,3,4,1,6,7,2]=>0000000
[6,1,2,7,5,8,4,3]=>[1,6,8,3,2,4,7,5]=>[1,3,8,2,7,6,4,5]=>[8,6,1,7,2,3,5,4]=>0000000
[4,8,3,2,5,7,6,1]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>0000000
[8,4,7,6,2,3,5,1]=>[1,8,2,4,6,3,7,5]=>[1,8,6,2,7,4,3,5]=>[8,1,3,7,2,5,6,4]=>0000000
[8,3,4,7,6,2,5,1]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[5,8,2,4,3,7,6,1]=>[1,5,3,2,8,4,6,7]=>[1,3,5,8,2,4,6,7]=>[8,6,4,1,7,5,3,2]=>0000000
[8,3,6,1,5,7,4,2]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>[8,1,7,2,5,6,3,4]=>0000000
[2,4,6,8,1,7,5,3]=>[1,2,4,8,3,6,7,5]=>[1,2,8,4,7,3,6,5]=>[8,7,1,5,2,6,3,4]=>0000000
[7,4,3,8,6,2,1,5]=>[1,7,2,4,8,5,6,3]=>[1,7,6,2,8,5,4,3]=>[8,2,3,7,1,4,5,6]=>0000000
[4,3,6,2,1,8,5,7]=>[1,4,2,3,6,8,7,5]=>[1,4,2,3,7,6,8,5]=>[8,5,7,6,2,3,1,4]=>0000000
[6,4,8,3,2,7,1,5]=>[1,6,7,2,4,3,8,5]=>[1,7,4,2,8,6,3,5]=>[8,2,5,7,1,3,6,4]=>0000000
[2,5,6,4,7,1,8,3]=>[1,2,5,7,8,3,6,4]=>[1,2,8,6,5,3,7,4]=>[8,7,1,3,4,6,2,5]=>0000000
[6,5,3,4,8,7,2,1]=>[1,6,7,2,5,8,3,4]=>[1,7,8,3,2,6,5,4]=>[8,2,1,6,7,3,4,5]=>0000000
[7,1,2,8,3,6,4,5]=>[1,7,4,8,5,3,2,6]=>[1,3,5,8,7,4,2,6]=>[8,6,4,1,2,5,7,3]=>0000000
[8,1,7,2,3,5,6,4]=>[1,8,4,2,3,7,6,5]=>[1,4,2,8,6,7,3,5]=>[8,5,7,1,3,2,6,4]=>0000000
[8,6,2,3,5,1,4,7]=>[1,8,7,4,3,2,6,5]=>[1,3,4,7,6,2,8,5]=>[8,6,5,2,3,7,1,4]=>0000000
[8,3,2,5,7,4,1,6]=>[1,8,6,4,5,7,2,3]=>[1,7,2,6,4,8,5,3]=>[8,2,7,3,5,1,4,6]=>0000000
[3,6,1,8,7,5,4,2]=>[1,3,2,6,5,7,4,8]=>[1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>0000000
[3,5,2,8,7,6,4,1]=>[1,3,2,5,7,4,8,6]=>[1,3,2,7,5,8,4,6]=>[8,6,7,2,4,1,5,3]=>0000000
[3,4,8,7,1,6,5,2]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[8,1,6,7,2,4,5,3]=>0000000
[8,1,7,3,4,6,2,5]=>[1,8,5,4,3,7,2,6]=>[1,7,4,5,8,2,3,6]=>[8,2,5,4,1,7,6,3]=>0000000
[8,3,1,7,2,6,5,4]=>[1,8,4,7,5,2,3,6]=>[1,5,2,7,8,4,3,6]=>[8,4,7,2,1,5,6,3]=>0000000
[8,2,3,7,1,6,5,4]=>[1,8,4,7,5,2,3,6]=>[1,5,2,7,8,4,3,6]=>[8,4,7,2,1,5,6,3]=>0000000
[8,2,7,1,3,6,5,4]=>[1,8,4,2,3,7,5,6]=>[1,4,2,8,7,5,3,6]=>[8,5,7,1,2,4,6,3]=>0000000
[8,1,7,5,2,4,3,6]=>[1,8,6,4,5,2,3,7]=>[1,5,2,6,4,8,3,7]=>[8,4,7,3,5,1,6,2]=>0000000
[2,7,1,5,8,4,3,6]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>0000000
[6,7,8,4,2,5,3,1]=>[1,6,5,2,7,3,8,4]=>[1,5,6,7,8,3,4,2]=>[8,4,3,2,1,6,5,7]=>0000000
[4,7,3,1,2,6,8,5]=>[1,4,2,7,8,5,3,6]=>[1,4,5,2,8,3,7,6]=>[8,5,4,7,1,6,2,3]=>0000000
[2,4,6,1,5,7,3,8]=>[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>0000000
[4,7,2,3,1,6,8,5]=>[1,4,3,2,7,8,5,6]=>[1,3,4,2,8,5,7,6]=>[8,6,5,7,1,4,2,3]=>0000000
[4,3,8,2,5,7,1,6]=>[1,4,2,3,8,6,7,5]=>[1,4,2,3,7,8,6,5]=>[8,5,7,6,2,1,3,4]=>0000000
[2,1,5,7,8,3,6,4]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[8,7,6,1,4,2,5,3]=>0000000
[5,1,8,7,4,3,6,2]=>[1,5,4,7,6,3,8,2]=>[1,8,6,5,4,7,3,2]=>[8,1,3,4,5,2,6,7]=>0000000
[5,7,1,3,2,4,8,6]=>[1,5,2,7,8,6,4,3]=>[1,5,4,6,2,8,7,3]=>[8,4,5,3,7,1,2,6]=>0000000
[8,1,7,4,2,3,5,6]=>[1,8,6,3,7,5,2,4]=>[1,5,7,3,6,8,2,4]=>[8,4,2,6,3,1,7,5]=>0000000
[6,1,8,5,3,7,2,4]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[8,2,7,1,5,3,6,4]=>0000000
[2,8,4,1,5,7,6,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[1,8,4,2,5,7,6,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[2,5,8,3,7,1,6,4]=>[1,2,5,7,6,3,8,4]=>[1,2,6,7,5,8,4,3]=>[8,7,3,2,4,1,5,6]=>0000000
[1,4,6,2,8,7,5,3]=>[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>0000000
[7,8,2,4,1,6,5,3]=>[1,7,5,2,8,3,4,6]=>[1,5,7,2,8,4,3,6]=>[8,4,2,7,1,5,6,3]=>0000000
[2,4,6,1,8,7,5,3]=>[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>0000000
[2,8,4,5,1,7,6,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[2,1,6,8,7,5,3,4]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>0000000
[1,8,2,4,5,7,6,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[1,3,8,2,5,7,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[2,3,8,1,5,7,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[2,1,8,3,5,7,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[2,3,6,8,7,5,1,4]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>0000000
[5,3,8,6,2,7,1,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>0000000
[8,3,6,1,5,7,2,4]=>[1,8,4,2,3,6,7,5]=>[1,4,2,8,7,3,6,5]=>[8,5,7,1,2,6,3,4]=>0000000
[8,7,1,5,6,2,3,4]=>[1,8,4,5,6,2,7,3]=>[1,6,7,8,4,5,2,3]=>[8,3,2,1,5,4,7,6]=>0000000
[1,6,5,8,7,2,3,4]=>[1,2,6,3,5,7,4,8]=>[1,2,6,7,3,5,4,8]=>[8,7,3,2,6,4,5,1]=>0000000
[8,1,5,7,6,2,3,4]=>[1,8,4,7,3,5,6,2]=>[1,6,7,8,3,5,4,2]=>[8,3,2,1,6,4,5,7]=>0000000
[1,5,8,7,6,2,3,4]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>[8,7,3,1,4,6,5,2]=>0000000
[7,8,6,1,5,2,3,4]=>[1,7,3,6,2,8,4,5]=>[1,6,7,8,4,3,2,5]=>[8,3,2,1,5,6,7,4]=>0000000
[4,5,7,2,3,1,8,6]=>[1,4,2,5,3,7,8,6]=>[1,4,5,2,3,8,7,6]=>[8,5,4,7,6,1,2,3]=>0000000
[3,7,8,1,4,6,5,2]=>[1,3,8,2,7,5,4,6]=>[1,8,3,5,7,4,2,6]=>[8,1,6,4,2,5,7,3]=>0000000
[2,5,8,7,4,1,3,6]=>[1,2,5,4,7,3,8,6]=>[1,2,7,5,4,8,3,6]=>[8,7,2,4,5,1,6,3]=>0000000
[4,7,6,2,3,1,8,5]=>[1,4,2,7,8,5,3,6]=>[1,4,5,2,8,3,7,6]=>[8,5,4,7,1,6,2,3]=>0000000
[2,3,6,1,8,7,5,4]=>[1,2,3,6,7,5,8,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>0000000
[5,7,8,2,3,6,1,4]=>[1,5,3,8,4,2,7,6]=>[1,4,8,5,2,7,3,6]=>[8,5,1,4,7,2,6,3]=>0000000
[8,6,2,1,5,7,4,3]=>[1,8,3,2,6,7,4,5]=>[1,3,8,7,4,2,6,5]=>[8,6,1,2,5,7,3,4]=>0000000
[1,4,6,8,7,2,3,5]=>[1,2,4,8,5,7,3,6]=>[1,2,7,4,8,3,5,6]=>[8,7,2,5,1,6,4,3]=>0000000
[4,6,5,7,2,8,1,3]=>[1,4,7,2,6,8,3,5]=>[1,7,8,4,3,2,6,5]=>[8,2,1,5,6,7,3,4]=>0000000
[3,8,4,1,5,2,6,7]=>[1,3,4,2,8,7,6,5]=>[1,4,3,2,6,7,8,5]=>[8,5,6,7,3,2,1,4]=>0000000
[3,7,5,4,1,2,6,8]=>[1,3,5,2,7,6,4,8]=>[1,5,3,6,2,7,4,8]=>[8,4,6,3,7,2,5,1]=>0000000
[3,7,5,4,2,1,6,8]=>[1,3,5,2,7,6,4,8]=>[1,5,3,6,2,7,4,8]=>[8,4,6,3,7,2,5,1]=>0000000
[2,8,6,1,7,4,3,5]=>[1,2,8,5,7,3,6,4]=>[1,2,7,6,8,3,5,4]=>[8,7,2,3,1,6,4,5]=>0000000
[8,5,2,6,1,3,7,4]=>[1,8,4,6,3,2,5,7]=>[1,3,6,8,2,4,5,7]=>[8,6,3,1,7,5,4,2]=>0000000
[5,1,3,4,2,8,6,7]=>[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>0000000
[1,4,2,8,5,7,6,3]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>0000000
[4,8,1,3,2,6,5,7]=>[1,4,3,2,8,7,5,6]=>[1,3,4,2,7,5,8,6]=>[8,6,5,7,2,4,1,3]=>0000000
[1,5,3,8,4,7,6,2]=>[1,2,5,4,8,3,6,7]=>[1,2,8,5,4,3,6,7]=>[8,7,1,4,5,6,3,2]=>0000000
[8,3,1,4,2,6,5,7]=>[1,8,7,5,2,3,4,6]=>[1,5,2,3,7,4,8,6]=>[8,4,7,6,2,5,1,3]=>0000000
[5,3,8,7,4,6,2,1]=>[1,5,4,7,2,3,8,6]=>[1,7,2,5,4,8,3,6]=>[8,2,7,4,5,1,6,3]=>0000000
[2,5,8,7,4,6,3,1]=>[1,2,5,4,7,3,8,6]=>[1,2,7,5,4,8,3,6]=>[8,7,2,4,5,1,6,3]=>0000000
[4,8,7,6,5,1,3,2]=>[1,4,6,2,8,3,7,5]=>[1,6,8,4,7,2,3,5]=>[8,3,1,5,2,7,6,4]=>0000000
[2,3,8,7,5,6,1,4]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>0000000
[2,8,7,1,3,6,4,5]=>[1,2,8,5,3,7,4,6]=>[1,2,5,8,7,3,4,6]=>[8,7,4,1,2,6,5,3]=>0000000
[6,8,7,3,5,2,1,4]=>[1,6,2,8,4,3,7,5]=>[1,6,4,8,7,2,3,5]=>[8,3,5,1,2,7,6,4]=>0000000
[4,8,7,6,5,2,1,3]=>[1,4,6,2,8,3,7,5]=>[1,6,8,4,7,2,3,5]=>[8,3,1,5,2,7,6,4]=>0000000
[3,7,5,4,6,2,8,1]=>[1,3,5,6,2,7,8,4]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>0000000
[2,3,6,1,5,7,8,4]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[8,7,6,1,5,3,2,4]=>0000000
[2,6,4,1,5,7,8,3]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[8,7,1,6,5,3,2,4]=>0000000
[5,2,8,3,6,1,4,7]=>[1,5,6,2,3,8,7,4]=>[1,6,2,7,5,3,8,4]=>[8,3,7,2,4,6,1,5]=>0000000
[5,7,6,1,2,3,8,4]=>[1,5,2,7,8,4,3,6]=>[1,5,4,8,2,3,7,6]=>[8,4,5,1,7,6,2,3]=>0000000
[1,8,7,5,3,6,4,2]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[8,7,1,2,5,4,6,3]=>0000000
[8,2,1,5,6,7,3,4]=>[1,8,4,5,6,7,3,2]=>[1,3,7,8,4,5,6,2]=>[8,6,2,1,5,4,3,7]=>0000000
[5,3,8,1,4,7,2,6]=>[1,5,4,2,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>[8,5,7,4,6,1,3,2]=>0000000
[7,3,8,4,1,6,2,5]=>[1,7,2,3,8,5,4,6]=>[1,7,2,5,8,4,3,6]=>[8,2,7,4,1,5,6,3]=>0000000
[6,3,8,1,5,7,2,4]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[8,2,7,1,5,3,6,4]=>0000000
[8,3,1,2,5,7,4,6]=>[1,8,6,7,4,2,3,5]=>[1,4,2,7,3,8,6,5]=>[8,5,7,2,6,1,3,4]=>0000000
[2,4,5,8,7,3,1,6]=>[1,2,4,8,6,3,5,7]=>[1,2,6,4,3,8,5,7]=>[8,7,3,5,6,1,4,2]=>0000000
[4,1,5,8,6,7,2,3]=>[1,4,8,3,5,6,7,2]=>[1,7,8,4,3,5,6,2]=>[8,2,1,5,6,4,3,7]=>0000000
[2,1,6,5,3,7,8,4]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[8,7,6,1,5,3,2,4]=>0000000
[4,1,7,5,8,3,6,2]=>[1,4,5,8,2,3,7,6]=>[1,8,2,4,5,7,3,6]=>[8,1,7,5,4,2,6,3]=>0000000
[6,7,1,8,4,5,3,2]=>[1,6,5,4,8,2,7,3]=>[1,8,7,5,6,4,2,3]=>[8,1,2,4,3,5,7,6]=>0000000
[3,8,7,2,4,6,5,1]=>[1,3,7,5,4,2,8,6]=>[1,4,3,5,7,8,2,6]=>[8,5,6,4,2,1,7,3]=>0000000
[4,8,1,6,5,3,2,7]=>[1,4,6,3,2,8,7,5]=>[1,3,6,4,7,2,8,5]=>[8,6,3,5,2,7,1,4]=>0000000
[8,5,6,1,4,3,2,7]=>[1,8,7,2,5,4,3,6]=>[1,7,4,5,2,3,8,6]=>[8,2,5,4,7,6,1,3]=>0000000
[1,2,5,7,8,4,6,3]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[8,7,6,1,4,2,5,3]=>0000000
[1,2,4,7,6,3,8,5]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>0000000
[8,6,4,1,5,7,3,2]=>[1,8,2,6,7,3,4,5]=>[1,8,7,3,4,2,6,5]=>[8,1,2,6,5,7,3,4]=>0000000
[1,3,6,4,7,8,2,5]=>[1,2,3,6,8,5,7,4]=>[1,2,3,7,8,6,5,4]=>[8,7,6,2,1,3,4,5]=>0000000
[1,6,4,3,7,8,2,5]=>[1,2,6,8,5,7,3,4]=>[1,2,7,3,8,6,5,4]=>[8,7,2,6,1,3,4,5]=>0000000
[3,2,6,4,1,8,5,7]=>[1,3,6,8,7,5,2,4]=>[1,5,3,2,7,6,8,4]=>[8,4,6,7,2,3,1,5]=>0000000
[7,5,4,6,1,3,2,8]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>[8,2,4,6,7,5,3,1]=>0000000
[1,5,6,3,7,8,2,4]=>[1,2,5,7,3,6,8,4]=>[1,2,7,8,5,3,6,4]=>[8,7,2,1,4,6,3,5]=>0000000
[3,7,2,8,1,5,4,6]=>[1,3,2,7,4,8,6,5]=>[1,3,2,7,6,8,4,5]=>[8,6,7,2,3,1,5,4]=>0000000
[7,3,8,1,6,5,4,2]=>[1,7,4,2,3,8,5,6]=>[1,4,2,7,8,5,3,6]=>[8,5,7,2,1,4,6,3]=>0000000
[3,5,1,7,8,2,6,4]=>[1,3,2,5,8,4,7,6]=>[1,3,2,8,5,7,4,6]=>[8,6,7,1,4,2,5,3]=>0000000
[5,4,7,8,2,1,6,3]=>[1,5,2,4,8,3,7,6]=>[1,5,8,2,4,7,3,6]=>[8,4,1,7,5,2,6,3]=>0000000
[3,4,6,2,1,8,5,7]=>[1,3,6,8,7,5,2,4]=>[1,5,3,2,7,6,8,4]=>[8,4,6,7,2,3,1,5]=>0000000
[4,7,3,2,8,1,5,6]=>[1,4,2,7,5,8,6,3]=>[1,4,6,2,8,7,3,5]=>[8,5,3,7,1,2,6,4]=>0000000
[4,3,7,2,8,6,1,5]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[8,5,7,6,2,1,4,3]=>0000000
[5,1,2,6,3,8,7,4]=>[1,5,3,2,4,6,8,7]=>[1,3,5,2,4,6,8,7]=>[8,6,4,7,5,3,1,2]=>0000000
[1,5,8,4,7,6,3,2]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[8,7,2,1,4,5,6,3]=>0000000
[8,2,5,4,7,6,1,3]=>[1,8,3,5,7,2,4,6]=>[1,7,8,2,3,4,5,6]=>[8,2,1,7,6,5,4,3]=>0000000
[7,2,5,4,8,6,1,3]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>0000000
[6,2,8,7,5,4,1,3]=>[1,6,4,7,2,3,8,5]=>[1,7,2,6,8,4,3,5]=>[8,2,7,3,1,5,6,4]=>0000000
[8,4,3,7,5,2,1,6]=>[1,8,6,2,4,7,3,5]=>[1,6,8,3,2,7,4,5]=>[8,3,1,6,7,2,5,4]=>0000000
[7,1,6,4,2,8,5,3]=>[1,7,5,2,3,6,8,4]=>[1,5,2,7,8,4,6,3]=>[8,4,7,2,1,5,3,6]=>0000000
[3,7,4,1,5,8,6,2]=>[1,3,4,2,7,6,8,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>0000000
[3,7,1,8,2,5,4,6]=>[1,3,2,7,4,8,6,5]=>[1,3,2,7,6,8,4,5]=>[8,6,7,2,3,1,5,4]=>0000000
[4,5,8,6,1,3,7,2]=>[1,4,6,3,8,2,5,7]=>[1,8,6,4,2,3,5,7]=>[8,1,3,5,7,6,4,2]=>0000000
[4,5,8,6,2,7,3,1]=>[1,4,6,7,3,8,2,5]=>[1,8,7,4,2,6,3,5]=>[8,1,2,5,7,3,6,4]=>0000000
[4,6,7,1,5,3,8,2]=>[1,4,2,6,3,7,8,5]=>[1,4,6,2,8,3,7,5]=>[8,5,3,7,1,6,2,4]=>0000000
[4,6,8,2,3,7,1,5]=>[1,4,2,6,7,3,8,5]=>[1,4,7,2,8,6,3,5]=>[8,5,2,7,1,3,6,4]=>0000000
[3,8,2,5,4,7,1,6]=>[1,3,2,8,6,7,4,5]=>[1,3,2,7,4,8,6,5]=>[8,6,7,2,5,1,3,4]=>0000000
[3,8,6,2,5,1,7,4]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[8,3,6,1,5,7,4,2]=>0000000
[2,1,5,8,6,3,7,4]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>0000000
[4,6,8,5,3,1,7,2]=>[1,4,5,3,8,2,6,7]=>[1,8,5,4,3,2,6,7]=>[8,1,4,5,6,7,3,2]=>0000000
[5,7,3,1,2,4,8,6]=>[1,5,2,7,8,6,4,3]=>[1,5,4,6,2,8,7,3]=>[8,4,5,3,7,1,2,6]=>0000000
[6,1,2,4,8,5,3,7]=>[1,6,5,8,7,3,2,4]=>[1,3,7,2,6,5,8,4]=>[8,6,2,7,3,4,1,5]=>0000000
[3,7,2,8,5,1,4,6]=>[1,3,2,7,4,8,6,5]=>[1,3,2,7,6,8,4,5]=>[8,6,7,2,3,1,5,4]=>0000000
[6,8,4,3,1,7,2,5]=>[1,6,7,2,8,5,3,4]=>[1,7,5,3,8,6,2,4]=>[8,2,4,6,1,3,7,5]=>0000000
[2,1,6,8,5,3,4,7]=>[1,2,3,6,4,8,7,5]=>[1,2,3,6,7,4,8,5]=>[8,7,6,3,2,5,1,4]=>0000000
[1,2,6,8,5,3,4,7]=>[1,2,3,6,4,8,7,5]=>[1,2,3,6,7,4,8,5]=>[8,7,6,3,2,5,1,4]=>0000000
[5,7,8,3,6,1,2,4]=>[1,5,6,2,7,3,8,4]=>[1,6,7,8,5,2,3,4]=>[8,3,2,1,4,7,6,5]=>0000000
[1,5,4,2,6,8,7,3]=>[1,2,5,6,8,3,4,7]=>[1,2,8,3,5,6,4,7]=>[8,7,1,6,4,3,5,2]=>0000000
[1,2,5,3,6,8,7,4]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[8,7,6,1,4,3,5,2]=>0000000
[3,6,7,5,2,8,1,4]=>[1,3,7,2,6,8,4,5]=>[1,7,3,8,4,2,6,5]=>[8,2,6,1,5,7,3,4]=>0000000
[1,2,5,4,8,3,6,7]=>[1,2,3,5,8,7,6,4]=>[1,2,3,6,5,7,8,4]=>[8,7,6,3,4,2,1,5]=>0000000
[7,1,3,8,2,4,5,6]=>[1,7,5,2,3,4,8,6]=>[1,5,2,3,7,8,4,6]=>[8,4,7,6,2,1,5,3]=>0000000
[8,3,1,4,7,2,5,6]=>[1,8,6,2,3,4,5,7]=>[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>0000000
[1,6,4,7,8,2,3,5]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>0000000
[8,2,6,7,5,1,3,4]=>[1,8,4,7,3,6,2,5]=>[1,6,7,8,2,3,4,5]=>[8,3,2,1,7,6,5,4]=>0000000
[1,8,7,4,6,2,3,5]=>[1,2,8,5,6,3,7,4]=>[1,2,6,7,8,5,3,4]=>[8,7,3,2,1,4,6,5]=>0000000
[8,2,5,1,4,6,7,3]=>[1,8,3,5,4,2,6,7]=>[1,4,5,8,2,3,6,7]=>[8,5,4,1,7,6,3,2]=>0000000
[8,3,1,7,5,6,4,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[8,4,7,6,5,3,1,2]=>[1,8,2,4,6,3,7,5]=>[1,8,6,2,7,4,3,5]=>[8,1,3,7,2,5,6,4]=>0000000
[8,1,3,7,5,6,4,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[2,4,1,8,5,7,6,3]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>0000000
[1,8,4,2,3,7,6,5]=>[1,2,8,5,3,4,6,7]=>[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>0000000
[8,1,3,4,6,7,2,5]=>[1,8,5,6,7,2,3,4]=>[1,7,2,3,8,5,6,4]=>[8,2,7,6,1,4,3,5]=>0000000
[6,8,5,4,1,7,2,3]=>[1,6,7,2,8,3,5,4]=>[1,7,8,5,3,6,2,4]=>[8,2,1,4,6,3,7,5]=>0000000
[8,4,7,6,5,1,2,3]=>[1,8,3,7,2,4,6,5]=>[1,7,8,2,6,4,3,5]=>[8,2,1,7,3,5,6,4]=>0000000
[3,5,8,1,7,4,6,2]=>[1,3,8,2,5,7,6,4]=>[1,8,3,6,2,7,5,4]=>[8,1,6,3,7,2,4,5]=>0000000
[8,4,7,1,3,6,5,2]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[8,1,5,7,2,4,6,3]=>0000000
[2,1,7,5,8,3,6,4]=>[1,2,3,7,6,4,5,8]=>[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>0000000
[7,3,8,5,6,2,1,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[8,2,7,1,5,4,6,3]=>0000000
[6,1,5,8,3,7,4,2]=>[1,6,7,4,8,2,3,5]=>[1,8,2,7,3,6,4,5]=>[8,1,7,2,6,3,5,4]=>0000000
[6,4,7,1,3,2,8,5]=>[1,6,2,4,3,7,8,5]=>[1,6,4,2,8,3,7,5]=>[8,3,5,7,1,6,2,4]=>0000000
[4,3,7,2,5,8,6,1]=>[1,4,2,3,7,6,8,5]=>[1,4,2,3,8,7,6,5]=>[8,5,7,6,1,2,3,4]=>0000000
[7,5,3,2,6,4,8,1]=>[1,7,8,2,5,6,4,3]=>[1,8,4,6,2,5,7,3]=>[8,1,5,3,7,4,2,6]=>0000000
[5,3,2,8,6,4,7,1]=>[1,5,6,4,8,2,3,7]=>[1,8,2,6,5,4,3,7]=>[8,1,7,3,4,5,6,2]=>0000000
[7,6,4,2,5,8,3,1]=>[1,7,3,4,2,6,8,5]=>[1,4,7,3,8,2,6,5]=>[8,5,2,6,1,7,3,4]=>0000000
[6,3,8,5,4,7,2,1]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[8,2,7,1,5,3,6,4]=>0000000
[1,6,4,2,5,3,7,8]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[1,8,6,2,7,3,4,5]=>[1,2,8,5,7,4,3,6]=>[1,2,4,7,8,3,5,6]=>[8,7,5,2,1,6,4,3]=>0000000
[1,8,6,2,3,7,4,5]=>[1,2,8,5,3,6,7,4]=>[1,2,5,8,7,4,6,3]=>[8,7,4,1,2,5,3,6]=>0000000
[1,7,3,2,6,8,4,5]=>[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000
[1,7,2,3,6,8,4,5]=>[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000
[1,4,8,3,2,5,6,7]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,6,7,8,5]=>[8,7,5,6,3,2,1,4]=>0000000
[1,7,2,5,8,3,4,6]=>[1,2,7,4,5,8,6,3]=>[1,2,6,8,3,7,5,4]=>[8,7,3,1,6,2,4,5]=>0000000
[1,3,7,5,2,8,6,4]=>[1,2,3,7,6,8,4,5]=>[1,2,3,8,4,7,6,5]=>[8,7,6,1,5,2,3,4]=>0000000
[1,3,7,2,5,8,6,4]=>[1,2,3,7,6,8,4,5]=>[1,2,3,8,4,7,6,5]=>[8,7,6,1,5,2,3,4]=>0000000
[1,5,7,6,3,4,8,2]=>[1,2,5,3,7,8,4,6]=>[1,2,5,8,3,4,7,6]=>[8,7,4,1,6,5,2,3]=>0000000
[1,3,7,2,5,6,8,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000
[1,3,7,5,6,2,8,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000
[2,4,6,8,7,3,1,5]=>[1,2,4,8,5,7,3,6]=>[1,2,7,4,8,3,5,6]=>[8,7,2,5,1,6,4,3]=>0000000
[2,5,3,8,4,1,7,6]=>[1,2,5,4,8,6,3,7]=>[1,2,6,5,4,8,3,7]=>[8,7,3,4,5,1,6,2]=>0000000
[3,1,6,4,8,7,5,2]=>[1,3,6,7,5,8,2,4]=>[1,8,3,2,7,6,5,4]=>[8,1,6,7,2,3,4,5]=>0000000
[3,7,8,4,2,6,5,1]=>[1,3,8,2,7,5,4,6]=>[1,8,3,5,7,4,2,6]=>[8,1,6,4,2,5,7,3]=>0000000
[7,8,1,4,3,5,6,2]=>[1,7,6,5,3,2,8,4]=>[1,3,5,6,7,8,2,4]=>[8,6,4,3,2,1,7,5]=>0000000
[4,2,8,1,3,7,6,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[2,3,4,6,8,7,1,5]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>0000000
[2,1,4,6,8,7,3,5]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>0000000
[4,5,7,1,6,8,3,2]=>[1,4,2,5,6,8,3,7]=>[1,4,8,2,5,6,3,7]=>[8,5,1,7,4,3,6,2]=>0000000
[6,3,7,8,4,1,2,5]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>0000000
[4,1,3,7,8,5,2,6]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>[8,2,7,5,6,1,4,3]=>0000000
[1,3,8,5,2,6,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[8,1,2,5,3,6,7,4]=>[1,8,4,5,3,2,6,7]=>[1,3,5,8,4,2,6,7]=>[8,6,4,1,5,7,3,2]=>0000000
[8,3,1,4,6,5,2,7]=>[1,8,7,2,3,4,5,6]=>[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>0000000
[8,7,1,5,3,6,2,4]=>[1,8,4,5,3,2,7,6]=>[1,3,5,8,4,7,2,6]=>[8,6,4,1,5,2,7,3]=>0000000
[8,3,2,7,4,6,5,1]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[8,7,3,1,6,4,5,2]=>[1,8,2,7,5,6,4,3]=>[1,8,4,6,7,5,2,3]=>[8,1,5,3,2,4,7,6]=>0000000
[6,4,1,7,8,5,3,2]=>[1,6,5,8,2,4,7,3]=>[1,8,7,2,6,5,4,3]=>[8,1,2,7,3,4,5,6]=>0000000
[8,7,3,1,6,2,5,4]=>[1,8,4,2,7,5,6,3]=>[1,4,8,6,7,5,3,2]=>[8,5,1,3,2,4,6,7]=>0000000
[8,7,1,6,5,2,3,4]=>[1,8,4,6,2,7,3,5]=>[1,6,7,8,3,4,2,5]=>[8,3,2,1,6,5,7,4]=>0000000
[8,7,3,2,6,1,5,4]=>[1,8,4,2,7,5,6,3]=>[1,4,8,6,7,5,3,2]=>[8,5,1,3,2,4,6,7]=>0000000
[8,7,2,6,5,1,3,4]=>[1,8,4,6,2,7,3,5]=>[1,6,7,8,3,4,2,5]=>[8,3,2,1,6,5,7,4]=>0000000
[6,3,7,4,8,2,5,1]=>[1,6,2,3,7,5,8,4]=>[1,6,2,8,7,3,5,4]=>[8,3,7,1,2,6,4,5]=>0000000
[6,3,7,4,8,1,5,2]=>[1,6,2,3,7,5,8,4]=>[1,6,2,8,7,3,5,4]=>[8,3,7,1,2,6,4,5]=>0000000
[6,2,7,4,8,1,5,3]=>[1,6,2,3,7,5,8,4]=>[1,6,2,8,7,3,5,4]=>[8,3,7,1,2,6,4,5]=>0000000
[8,7,4,6,2,3,5,1]=>[1,8,2,7,5,3,4,6]=>[1,8,5,3,7,4,2,6]=>[8,1,4,6,2,5,7,3]=>0000000
[7,2,1,5,3,8,6,4]=>[1,7,6,8,4,5,3,2]=>[1,3,5,8,4,7,6,2]=>[8,6,4,1,5,2,3,7]=>0000000
[8,4,6,2,5,7,1,3]=>[1,8,3,6,7,2,4,5]=>[1,7,8,2,4,3,6,5]=>[8,2,1,7,5,6,3,4]=>0000000
[1,2,4,7,8,5,3,6]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>0000000
[2,1,4,7,8,5,3,6]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>0000000
[4,1,3,7,6,8,2,5]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>0000000
[6,7,8,2,4,5,1,3]=>[1,6,5,4,2,7,3,8]=>[1,4,5,6,7,2,3,8]=>[8,5,4,3,2,7,6,1]=>0000000
[2,1,3,8,6,5,4,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[8,2,1,7,5,4,3,6]=>[1,8,6,4,7,3,2,5]=>[1,3,7,6,2,8,4,5]=>[8,6,2,3,7,1,5,4]=>0000000
[1,3,2,8,6,5,4,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[3,5,7,1,6,8,2,4]=>[1,3,7,2,5,6,8,4]=>[1,7,3,8,2,5,6,4]=>[8,2,6,1,7,4,3,5]=>0000000
[1,5,7,8,6,3,2,4]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>[8,7,3,2,4,6,5,1]=>0000000
[2,3,8,7,5,4,1,6]=>[1,2,3,8,6,4,7,5]=>[1,2,3,6,8,7,5,4]=>[8,7,6,3,1,2,4,5]=>0000000
[1,3,8,7,5,4,2,6]=>[1,2,3,8,6,4,7,5]=>[1,2,3,6,8,7,5,4]=>[8,7,6,3,1,2,4,5]=>0000000
[8,2,7,6,4,3,1,5]=>[1,8,5,4,6,3,7,2]=>[1,7,6,5,8,4,3,2]=>[8,2,3,4,1,5,6,7]=>0000000
[8,1,7,6,4,3,2,5]=>[1,8,5,4,6,3,7,2]=>[1,7,6,5,8,4,3,2]=>[8,2,3,4,1,5,6,7]=>0000000
[8,1,3,5,2,7,6,4]=>[1,8,4,5,2,3,6,7]=>[1,5,2,8,4,3,6,7]=>[8,4,7,1,5,6,3,2]=>0000000
[8,1,7,4,3,6,5,2]=>[1,8,2,3,7,5,4,6]=>[1,8,2,5,7,4,3,6]=>[8,1,7,4,2,5,6,3]=>0000000
[8,1,4,5,6,3,7,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000
[8,1,4,7,6,2,5,3]=>[1,8,3,4,7,5,6,2]=>[1,6,8,3,7,5,4,2]=>[8,3,1,6,2,4,5,7]=>0000000
[7,3,1,5,6,4,2,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[3,4,5,6,2,8,1,7]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]=>[8,4,6,7,5,3,1,2]=>0000000
[7,3,4,1,6,8,2,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[7,3,4,1,6,5,8,2]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[8,1,7,6,5,4,2,3]=>0000000
[3,7,4,2,5,8,6,1]=>[1,3,4,2,7,6,8,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>0000000
[3,8,7,1,4,5,2,6]=>[1,3,7,2,8,6,5,4]=>[1,7,3,5,6,8,2,4]=>[8,2,6,4,3,1,7,5]=>0000000
[3,7,4,2,1,8,6,5]=>[1,3,4,2,7,6,8,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>0000000
[3,4,7,6,1,2,8,5]=>[1,3,7,8,5,2,4,6]=>[1,5,3,2,8,4,7,6]=>[8,4,6,7,1,5,2,3]=>0000000
[8,6,3,7,5,1,4,2]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[8,1,3,6,2,7,5,4]=>0000000
[8,7,3,5,6,1,4,2]=>[1,8,2,7,4,5,6,3]=>[1,8,6,7,4,5,2,3]=>[8,1,3,2,5,4,7,6]=>0000000
[7,6,3,8,1,4,5,2]=>[1,7,5,2,6,4,8,3]=>[1,5,7,8,6,3,2,4]=>[8,4,2,1,3,6,7,5]=>0000000
[8,4,2,5,1,6,7,3]=>[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>0000000
[8,7,3,1,4,5,6,2]=>[1,8,2,7,6,5,4,3]=>[1,8,4,5,6,7,2,3]=>[8,1,5,4,3,2,7,6]=>0000000
[1,8,6,3,2,7,4,5]=>[1,2,8,5,3,6,7,4]=>[1,2,5,8,7,4,6,3]=>[8,7,4,1,2,5,3,6]=>0000000
[1,5,6,2,8,4,3,7]=>[1,2,5,8,7,3,6,4]=>[1,2,7,6,5,3,8,4]=>[8,7,2,3,4,6,1,5]=>0000000
[1,2,5,3,8,6,7,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>0000000
[2,4,6,3,1,7,5,8]=>[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>0000000
[2,3,8,6,7,1,5,4]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>0000000
[2,1,5,8,6,4,7,3]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>0000000
[7,6,2,4,8,1,5,3]=>[1,7,5,8,3,2,6,4]=>[1,3,8,6,7,2,5,4]=>[8,6,1,3,2,7,4,5]=>0000000
[5,8,7,3,1,6,4,2]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>0000000
[5,3,8,2,1,7,6,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>0000000
[3,8,7,2,1,5,4,6]=>[1,3,7,4,2,8,6,5]=>[1,4,3,7,6,8,2,5]=>[8,5,6,2,3,1,7,4]=>0000000
[4,6,5,8,7,3,1,2]=>[1,4,8,2,6,3,5,7]=>[1,8,6,4,3,2,5,7]=>[8,1,3,5,6,7,4,2]=>0000000
[8,4,5,1,7,6,2,3]=>[1,8,3,5,7,2,4,6]=>[1,7,8,2,3,4,5,6]=>[8,2,1,7,6,5,4,3]=>0000000
[5,7,6,1,3,8,4,2]=>[1,5,3,6,8,2,7,4]=>[1,8,5,7,3,6,2,4]=>[8,1,4,2,6,3,7,5]=>0000000
[6,7,1,4,2,8,5,3]=>[1,6,8,3,2,7,5,4]=>[1,3,8,5,7,6,2,4]=>[8,6,1,4,2,3,7,5]=>0000000
[2,1,6,4,8,3,7,5]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>0000000
[7,4,5,1,3,8,6,2]=>[1,7,6,8,2,4,3,5]=>[1,8,4,2,3,7,6,5]=>[8,1,5,7,6,2,3,4]=>0000000
[6,8,7,1,5,3,4,2]=>[1,6,3,7,4,2,8,5]=>[1,4,7,6,8,2,3,5]=>[8,5,2,3,1,7,6,4]=>0000000
[2,8,7,5,3,6,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[8,7,1,2,5,4,6,3]=>0000000
[4,8,7,2,5,6,3,1]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>[8,5,1,7,2,4,6,3]=>0000000
[4,7,8,5,3,6,2,1]=>[1,4,5,3,8,2,7,6]=>[1,8,5,4,3,7,2,6]=>[8,1,4,5,6,2,7,3]=>0000000
[5,3,8,4,7,6,2,1]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[8,2,7,1,4,5,6,3]=>0000000
[2,4,7,8,5,6,1,3]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[8,7,1,5,2,4,6,3]=>0000000
[4,1,5,8,6,7,3,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>0000000
[1,2,7,8,4,3,6,5]=>[1,2,3,7,6,4,8,5]=>[1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>0000000
[8,5,3,7,6,1,4,2]=>[1,8,2,5,6,3,4,7]=>[1,8,6,3,2,5,4,7]=>[8,1,3,6,7,4,5,2]=>0000000
[2,7,5,8,1,4,6,3]=>[1,2,7,6,4,8,3,5]=>[1,2,8,6,3,7,4,5]=>[8,7,1,3,6,2,5,4]=>0000000
[3,2,6,7,1,8,5,4]=>[1,3,6,8,4,7,5,2]=>[1,5,3,7,8,6,2,4]=>[8,4,6,2,1,3,7,5]=>0000000
[1,6,2,7,8,5,3,4]=>[1,2,6,5,8,4,7,3]=>[1,2,7,8,6,5,4,3]=>[8,7,2,1,3,4,5,6]=>0000000
[1,2,6,7,8,5,3,4]=>[1,2,3,6,5,8,4,7]=>[1,2,3,8,6,5,4,7]=>[8,7,6,1,3,4,5,2]=>0000000
[8,6,1,2,7,3,4,5]=>[1,8,5,7,4,2,6,3]=>[1,4,7,6,8,3,5,2]=>[8,5,2,3,1,6,4,7]=>0000000
[3,2,6,4,8,7,5,1]=>[1,3,6,7,5,8,2,4]=>[1,8,3,2,7,6,5,4]=>[8,1,6,7,2,3,4,5]=>0000000
[4,7,2,8,6,5,1,3]=>[1,4,8,3,2,7,5,6]=>[1,3,8,4,7,5,2,6]=>[8,6,1,5,2,4,7,3]=>0000000
[4,3,8,2,5,7,6,1]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[4,3,8,1,5,7,6,2]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[3,8,1,4,5,7,2,6]=>[1,3,2,8,6,7,4,5]=>[1,3,2,7,4,8,6,5]=>[8,6,7,2,5,1,3,4]=>0000000
[4,2,8,3,5,7,6,1]=>[1,4,3,8,2,5,6,7]=>[1,8,4,3,2,5,6,7]=>[8,1,5,6,7,4,3,2]=>0000000
[3,8,2,4,5,7,6,1]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>0000000
[2,3,6,1,5,8,7,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000
[4,3,2,7,1,6,8,5]=>[1,4,7,8,5,2,3,6]=>[1,5,2,4,8,3,7,6]=>[8,4,7,5,1,6,2,3]=>0000000
[4,5,8,2,3,6,7,1]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[8,5,4,7,6,1,3,2]=>0000000
[2,4,8,5,3,6,7,1]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>[8,7,4,5,6,1,3,2]=>0000000
[4,1,8,6,5,3,7,2]=>[1,4,6,3,8,2,5,7]=>[1,8,6,4,2,3,5,7]=>[8,1,3,5,7,6,4,2]=>0000000
[5,7,8,4,6,3,2,1]=>[1,5,6,3,8,2,7,4]=>[1,8,6,7,5,3,2,4]=>[8,1,3,2,4,6,7,5]=>0000000
[5,6,7,4,2,8,3,1]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>[8,4,1,2,7,3,6,5]=>0000000
[7,3,5,4,2,8,6,1]=>[1,7,6,8,2,3,5,4]=>[1,8,2,5,3,7,6,4]=>[8,1,7,4,6,2,3,5]=>0000000
[6,4,1,8,5,2,7,3]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>0000000
[7,1,2,8,5,6,4,3]=>[1,7,4,8,3,2,5,6]=>[1,3,8,7,2,5,4,6]=>[8,6,1,2,7,4,5,3]=>0000000
[3,1,6,8,5,4,7,2]=>[1,3,6,4,8,2,5,7]=>[1,8,3,6,2,4,5,7]=>[8,1,6,3,7,5,4,2]=>0000000
[5,4,2,8,3,6,7,1]=>[1,5,3,2,4,8,6,7]=>[1,3,5,2,4,8,6,7]=>[8,6,4,7,5,1,3,2]=>0000000
[5,3,4,8,2,6,7,1]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[1,5,7,6,3,2,8,4]=>[1,2,5,3,7,8,4,6]=>[1,2,5,8,3,4,7,6]=>[8,7,4,1,6,5,2,3]=>0000000
[8,4,6,7,3,2,5,1]=>[1,8,2,4,7,5,3,6]=>[1,8,5,2,7,3,4,6]=>[8,1,4,7,2,6,5,3]=>0000000
[3,4,5,2,1,8,6,7]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]=>[8,4,6,7,5,3,1,2]=>0000000
[3,2,7,8,6,1,4,5]=>[1,3,7,4,8,5,6,2]=>[1,6,3,7,8,5,4,2]=>[8,3,6,2,1,4,5,7]=>0000000
[5,7,4,1,6,8,2,3]=>[1,5,6,8,3,4,2,7]=>[1,4,8,3,5,6,2,7]=>[8,5,1,6,4,3,7,2]=>0000000
[5,6,8,1,3,7,2,4]=>[1,5,3,8,4,2,6,7]=>[1,4,8,5,2,3,6,7]=>[8,5,1,4,7,6,3,2]=>0000000
[1,6,8,5,3,2,4,7]=>[1,2,6,3,8,7,4,5]=>[1,2,6,7,4,3,8,5]=>[8,7,3,2,5,6,1,4]=>0000000
[1,2,5,4,8,7,3,6]=>[1,2,3,5,8,6,7,4]=>[1,2,3,7,5,8,6,4]=>[8,7,6,2,4,1,3,5]=>0000000
[1,2,4,8,6,3,5,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[1,7,3,4,2,6,8,5]=>[1,2,7,8,5,3,4,6]=>[1,2,5,3,8,4,7,6]=>[8,7,4,6,1,5,2,3]=>0000000
[1,5,6,3,2,8,4,7]=>[1,2,5,3,6,8,7,4]=>[1,2,5,7,3,6,8,4]=>[8,7,4,2,6,3,1,5]=>0000000
[1,7,6,4,3,8,5,2]=>[1,2,7,5,3,6,8,4]=>[1,2,5,7,8,4,6,3]=>[8,7,4,2,1,5,3,6]=>0000000
[1,8,5,7,6,3,2,4]=>[1,2,8,4,7,3,5,6]=>[1,2,7,8,3,5,4,6]=>[8,7,2,1,6,4,5,3]=>0000000
[1,5,6,3,2,7,8,4]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[8,7,4,1,6,3,2,5]=>0000000
[1,8,4,7,5,3,2,6]=>[1,2,8,6,3,4,7,5]=>[1,2,6,3,8,7,5,4]=>[8,7,3,6,1,2,4,5]=>0000000
[3,1,4,8,5,6,2,7]=>[1,3,4,8,7,2,5,6]=>[1,7,3,4,2,5,8,6]=>[8,2,6,5,7,4,1,3]=>0000000
[5,8,2,4,6,1,3,7]=>[1,5,6,2,8,7,3,4]=>[1,6,7,3,5,2,8,4]=>[8,3,2,6,4,7,1,5]=>0000000
[5,1,8,2,4,6,7,3]=>[1,5,4,2,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>[8,5,7,4,6,1,3,2]=>0000000
[4,1,8,2,3,6,7,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[5,8,2,1,3,7,6,4]=>[1,5,3,2,8,4,6,7]=>[1,3,5,8,2,4,6,7]=>[8,6,4,1,7,5,3,2]=>0000000
[1,2,7,4,6,3,8,5]=>[1,2,3,7,8,5,6,4]=>[1,2,3,6,8,5,7,4]=>[8,7,6,3,1,4,2,5]=>0000000
[3,2,5,7,4,6,8,1]=>[1,3,5,4,7,8,2,6]=>[1,8,3,5,4,2,7,6]=>[8,1,6,4,5,7,2,3]=>0000000
[2,3,7,5,4,8,6,1]=>[1,2,3,7,6,8,4,5]=>[1,2,3,8,4,7,6,5]=>[8,7,6,1,5,2,3,4]=>0000000
[2,4,6,3,8,7,5,1]=>[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>0000000
[6,3,1,8,7,4,2,5]=>[1,6,4,8,5,7,2,3]=>[1,7,2,6,8,4,5,3]=>[8,2,7,3,1,5,4,6]=>0000000
[5,3,6,2,8,7,4,1]=>[1,5,8,2,3,6,7,4]=>[1,8,2,7,5,3,6,4]=>[8,1,7,2,4,6,3,5]=>0000000
[1,3,6,4,7,5,2,8]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>0000000
[7,3,1,4,6,5,2,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[3,2,8,4,6,5,1,7]=>[1,3,8,7,2,4,5,6]=>[1,7,3,2,4,5,8,6]=>[8,2,6,7,5,4,1,3]=>0000000
[6,2,1,4,8,5,3,7]=>[1,6,5,8,7,3,2,4]=>[1,3,7,2,6,5,8,4]=>[8,6,2,7,3,4,1,5]=>0000000
[7,3,1,4,8,5,2,6]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>0000000
[8,2,6,3,7,4,1,5]=>[1,8,5,7,2,3,6,4]=>[1,7,2,6,8,3,5,4]=>[8,2,7,3,1,6,4,5]=>0000000
[7,2,5,3,8,4,1,6]=>[1,7,2,3,5,8,6,4]=>[1,7,2,6,3,8,5,4]=>[8,2,7,3,6,1,4,5]=>0000000
[1,3,6,4,8,5,2,7]=>[1,2,3,6,5,8,7,4]=>[1,2,3,7,6,5,8,4]=>[8,7,6,2,3,4,1,5]=>0000000
[7,2,4,3,8,5,1,6]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>0000000
[7,2,6,3,1,5,4,8]=>[1,7,4,3,6,5,2,8]=>[1,5,4,6,7,2,3,8]=>[8,4,5,3,2,7,6,1]=>0000000
[1,5,2,8,7,4,3,6]=>[1,2,5,7,3,4,8,6]=>[1,2,7,3,5,8,4,6]=>[8,7,2,6,4,1,5,3]=>0000000
[7,1,5,3,2,6,8,4]=>[1,7,8,4,3,5,2,6]=>[1,5,4,8,3,2,7,6]=>[8,4,5,1,6,7,2,3]=>0000000
[3,2,1,7,8,5,4,6]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[8,6,7,5,2,1,4,3]=>0000000
[1,2,8,4,6,3,5,7]=>[1,2,3,8,7,5,6,4]=>[1,2,3,6,7,5,8,4]=>[8,7,6,3,2,4,1,5]=>0000000
[1,2,8,4,7,3,5,6]=>[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>0000000
[5,4,7,8,2,3,6,1]=>[1,5,2,4,8,3,7,6]=>[1,5,8,2,4,7,3,6]=>[8,4,1,7,5,2,6,3]=>0000000
[4,3,8,2,1,6,7,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[3,6,7,4,5,2,8,1]=>[1,3,7,8,2,6,4,5]=>[1,8,3,6,4,2,7,5]=>[8,1,6,3,5,7,2,4]=>0000000
[4,6,7,2,5,3,8,1]=>[1,4,2,6,3,7,8,5]=>[1,4,6,2,8,3,7,5]=>[8,5,3,7,1,6,2,4]=>0000000
[5,6,7,1,8,3,4,2]=>[1,5,8,2,6,3,7,4]=>[1,8,6,7,5,2,3,4]=>[8,1,3,2,4,7,6,5]=>0000000
[2,3,7,6,5,1,8,4]=>[1,2,3,7,8,4,6,5]=>[1,2,3,8,6,4,7,5]=>[8,7,6,1,3,5,2,4]=>0000000
[7,1,6,8,5,2,4,3]=>[1,7,4,8,3,6,2,5]=>[1,6,8,7,2,3,4,5]=>[8,3,1,2,7,6,5,4]=>0000000
[2,7,6,4,8,1,5,3]=>[1,2,7,5,8,3,6,4]=>[1,2,8,6,7,3,5,4]=>[8,7,1,3,2,6,4,5]=>0000000
[6,3,8,7,5,4,2,1]=>[1,6,4,7,2,3,8,5]=>[1,7,2,6,8,4,3,5]=>[8,2,7,3,1,5,6,4]=>0000000
[5,1,8,3,7,4,6,2]=>[1,5,7,6,4,3,8,2]=>[1,8,4,6,5,7,3,2]=>[8,1,5,3,4,2,6,7]=>0000000
[8,2,7,4,5,1,6,3]=>[1,8,3,7,6,2,4,5]=>[1,6,7,3,4,8,2,5]=>[8,3,2,6,5,1,7,4]=>0000000
[1,7,5,2,4,8,6,3]=>[1,2,7,6,8,3,5,4]=>[1,2,8,5,3,7,6,4]=>[8,7,1,4,6,2,3,5]=>0000000
[7,2,8,5,3,1,6,4]=>[1,7,6,2,3,8,4,5]=>[1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>0000000
[4,7,6,1,5,8,3,2]=>[1,4,2,7,3,6,8,5]=>[1,4,7,2,8,3,6,5]=>[8,5,2,7,1,6,3,4]=>0000000
[5,4,7,3,8,2,1,6]=>[1,5,8,6,2,4,3,7]=>[1,6,4,2,5,8,3,7]=>[8,3,5,7,4,1,6,2]=>0000000
[4,3,5,7,2,6,1,8]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>0000000
[7,2,5,3,8,4,6,1]=>[1,7,6,4,3,5,8,2]=>[1,8,4,6,3,7,5,2]=>[8,1,5,3,6,2,4,7]=>0000000
[8,7,3,2,5,4,6,1]=>[1,8,2,7,6,4,3,5]=>[1,8,4,6,3,7,2,5]=>[8,1,5,3,6,2,7,4]=>0000000
[5,4,3,7,8,2,1,6]=>[1,5,8,6,2,4,7,3]=>[1,6,8,3,5,7,4,2]=>[8,3,1,6,4,2,5,7]=>0000000
[6,8,5,7,3,4,2,1]=>[1,6,4,7,2,8,3,5]=>[1,7,8,6,3,4,2,5]=>[8,2,1,3,6,5,7,4]=>0000000
[2,4,1,8,7,6,3,5]=>[1,2,4,8,5,7,3,6]=>[1,2,7,4,8,3,5,6]=>[8,7,2,5,1,6,4,3]=>0000000
[2,3,8,7,5,1,6,4]=>[1,2,3,8,4,7,6,5]=>[1,2,3,8,6,7,4,5]=>[8,7,6,1,3,2,5,4]=>0000000
[8,5,4,7,6,1,3,2]=>[1,8,2,5,6,3,4,7]=>[1,8,6,3,2,5,4,7]=>[8,1,3,6,7,4,5,2]=>0000000
[5,3,8,6,7,2,1,4]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[8,2,7,1,4,5,6,3]=>0000000
[8,2,5,1,6,3,7,4]=>[1,8,4,2,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>0000000
[8,3,4,5,1,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000
[7,8,1,5,6,3,2,4]=>[1,7,2,8,4,5,6,3]=>[1,7,6,8,4,5,2,3]=>[8,2,3,1,5,4,7,6]=>0000000
[7,8,1,3,2,5,6,4]=>[1,7,6,5,2,8,4,3]=>[1,5,4,6,7,8,2,3]=>[8,4,5,3,2,1,7,6]=>0000000
[1,7,8,3,5,2,6,4]=>[1,2,7,6,3,8,4,5]=>[1,2,6,7,3,8,4,5]=>[8,7,3,2,6,1,5,4]=>0000000
[1,3,7,8,5,4,6,2]=>[1,2,3,7,6,4,8,5]=>[1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>0000000
[1,5,7,6,8,3,4,2]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[8,7,1,2,4,5,6,3]=>0000000
[3,5,7,4,6,8,1,2]=>[1,3,7,2,5,6,8,4]=>[1,7,3,8,2,5,6,4]=>[8,2,6,1,7,4,3,5]=>0000000
[1,7,2,4,5,3,6,8]=>[1,2,7,6,3,4,5,8]=>[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>0000000
[1,7,4,5,3,2,6,8]=>[1,2,7,6,3,4,5,8]=>[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>0000000
[8,3,5,6,1,4,7,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[8,1,7,4,6,5,3,2]=>0000000
[1,6,4,7,5,2,3,8]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>0000000
[8,5,6,1,4,3,7,2]=>[1,8,2,5,4,3,6,7]=>[1,8,4,5,2,3,6,7]=>[8,1,5,4,7,6,3,2]=>0000000
[4,3,2,7,5,8,1,6]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>0000000
[8,1,4,5,3,2,7,6]=>[1,8,6,2,3,4,5,7]=>[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>0000000
[8,6,1,3,2,7,4,5]=>[1,8,5,2,6,7,4,3]=>[1,5,4,8,7,3,6,2]=>[8,4,5,1,2,6,3,7]=>0000000
[2,6,3,7,8,1,5,4]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>0000000
[7,2,4,3,5,8,1,6]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[1,3,2,5,8,6,4,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>0000000
[4,8,2,7,1,3,6,5]=>[1,4,7,6,3,2,8,5]=>[1,3,6,4,7,8,5,2]=>[8,6,3,5,2,1,4,7]=>0000000
[1,7,4,6,8,3,5,2]=>[1,2,7,5,8,3,4,6]=>[1,2,8,3,7,4,5,6]=>[8,7,1,6,2,5,4,3]=>0000000
[2,1,8,6,3,7,5,4]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[8,7,6,1,2,5,3,4]=>0000000
[1,2,7,4,3,5,8,6]=>[1,2,3,7,8,6,5,4]=>[1,2,3,5,6,8,7,4]=>[8,7,6,4,3,1,2,5]=>0000000
[1,3,8,7,5,4,6,2]=>[1,2,3,8,4,7,6,5]=>[1,2,3,8,6,7,4,5]=>[8,7,6,1,3,2,5,4]=>0000000
[1,2,8,6,3,5,7,4]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>0000000
[1,2,5,8,6,3,7,4]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>0000000
[1,2,4,7,5,8,6,3]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>0000000
[1,5,8,6,3,2,7,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[1,7,4,6,3,2,8,5]=>[1,2,7,8,5,3,4,6]=>[1,2,5,3,8,4,7,6]=>[8,7,4,6,1,5,2,3]=>0000000
[8,3,4,5,2,1,7,6]=>[1,8,6,2,3,4,5,7]=>[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>0000000
[5,3,6,7,2,4,8,1]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>0000000
[1,3,8,2,5,6,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[7,1,3,6,5,2,8,4]=>[1,7,8,4,6,2,3,5]=>[1,6,2,8,3,4,7,5]=>[8,3,7,1,6,5,2,4]=>0000000
[6,1,8,5,2,7,3,4]=>[1,6,7,3,8,4,5,2]=>[1,5,7,8,4,6,3,2]=>[8,4,2,1,5,3,6,7]=>0000000
[3,1,2,5,7,8,6,4]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000
[8,1,6,2,7,3,4,5]=>[1,8,5,7,4,2,3,6]=>[1,4,2,7,8,3,5,6]=>[8,5,7,2,1,6,4,3]=>0000000
[8,1,6,7,5,2,3,4]=>[1,8,4,7,3,6,2,5]=>[1,6,7,8,2,3,4,5]=>[8,3,2,1,7,6,5,4]=>0000000
[8,3,1,2,4,6,7,5]=>[1,8,5,4,2,3,6,7]=>[1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>0000000
[3,1,2,8,5,6,7,4]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>0000000
[7,1,8,2,5,3,4,6]=>[1,7,4,2,3,8,6,5]=>[1,4,2,7,6,8,3,5]=>[8,5,7,2,3,1,6,4]=>0000000
[2,7,4,3,8,5,1,6]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>0000000
[2,3,7,5,4,1,6,8]=>[1,2,3,7,6,4,5,8]=>[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>0000000
[2,6,8,3,5,1,4,7]=>[1,2,6,3,8,7,4,5]=>[1,2,6,7,4,3,8,5]=>[8,7,3,2,5,6,1,4]=>0000000
[2,3,7,1,6,5,8,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000
[2,4,7,1,3,6,8,5]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,5,7,6]=>[8,7,5,6,1,4,2,3]=>0000000
[3,4,7,2,1,6,8,5]=>[1,3,7,8,5,2,4,6]=>[1,5,3,2,8,4,7,6]=>[8,4,6,7,1,5,2,3]=>0000000
[5,4,7,8,1,3,6,2]=>[1,5,2,4,8,3,7,6]=>[1,5,8,2,4,7,3,6]=>[8,4,1,7,5,2,6,3]=>0000000
[2,5,7,1,4,6,8,3]=>[1,2,5,4,3,7,8,6]=>[1,2,4,5,3,8,7,6]=>[8,7,5,4,6,1,2,3]=>0000000
[2,4,7,1,6,3,8,5]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,5,7,6]=>[8,7,5,6,1,4,2,3]=>0000000
[2,4,8,3,1,7,6,5]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[8,4,1,2,5,3,6,7]=>[1,8,7,6,3,2,4,5]=>[1,3,6,2,4,7,8,5]=>[8,6,3,7,5,2,1,4]=>0000000
[4,3,8,1,5,2,6,7]=>[1,4,2,3,8,7,6,5]=>[1,4,2,3,6,7,8,5]=>[8,5,7,6,3,2,1,4]=>0000000
[2,6,4,1,7,3,5,8]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[1,7,3,2,5,6,4,8]=>[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000
[2,1,7,3,5,6,8,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>0000000
[2,1,6,3,5,7,8,4]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[8,7,6,1,5,3,2,4]=>0000000
[1,6,5,3,7,2,4,8]=>[1,2,6,3,5,7,4,8]=>[1,2,6,7,3,5,4,8]=>[8,7,3,2,6,4,5,1]=>0000000
[7,5,6,2,4,3,8,1]=>[1,7,8,2,5,4,3,6]=>[1,8,4,5,2,3,7,6]=>[8,1,5,4,7,6,2,3]=>0000000
[4,6,2,5,7,3,8,1]=>[1,4,5,7,8,2,6,3]=>[1,8,6,4,5,2,7,3]=>[8,1,3,5,4,7,2,6]=>0000000
[8,2,5,6,7,4,3,1]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[8,1,7,2,6,5,4,3]=>0000000
[8,2,5,3,4,7,6,1]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[8,1,7,4,6,5,3,2]=>0000000
[3,1,8,4,6,5,7,2]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>0000000
[3,8,2,5,1,7,4,6]=>[1,3,2,8,6,7,4,5]=>[1,3,2,7,4,8,6,5]=>[8,6,7,2,5,1,3,4]=>0000000
[4,8,5,2,1,7,3,6]=>[1,4,2,8,6,7,3,5]=>[1,4,7,2,3,8,6,5]=>[8,5,2,7,6,1,3,4]=>0000000
[5,7,6,8,4,1,3,2]=>[1,5,4,8,2,7,3,6]=>[1,8,7,5,4,3,2,6]=>[8,1,2,4,5,6,7,3]=>0000000
[5,3,1,7,4,8,6,2]=>[1,5,4,7,6,8,2,3]=>[1,8,2,5,4,7,6,3]=>[8,1,7,4,5,2,3,6]=>0000000
[3,7,2,8,6,4,5,1]=>[1,3,2,7,5,6,4,8]=>[1,3,2,6,7,5,4,8]=>[8,6,7,3,2,4,5,1]=>0000000
[2,4,7,8,5,1,3,6]=>[1,2,4,8,6,3,7,5]=>[1,2,6,4,8,7,5,3]=>[8,7,3,5,1,2,4,6]=>0000000
[2,3,7,5,1,8,6,4]=>[1,2,3,7,6,8,4,5]=>[1,2,3,8,4,7,6,5]=>[8,7,6,1,5,2,3,4]=>0000000
[7,3,1,2,8,6,4,5]=>[1,7,4,2,3,5,8,6]=>[1,4,2,7,3,8,5,6]=>[8,5,7,2,6,1,4,3]=>0000000
[8,5,1,7,2,4,3,6]=>[1,8,6,4,7,3,2,5]=>[1,3,7,6,2,8,4,5]=>[8,6,2,3,7,1,5,4]=>0000000
[8,3,1,6,2,7,5,4]=>[1,8,4,6,7,5,2,3]=>[1,5,2,7,8,3,6,4]=>[8,4,7,2,1,6,3,5]=>0000000
[2,4,8,3,1,6,7,5]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[1,3,6,8,5,4,2,7]=>[1,2,3,6,4,8,7,5]=>[1,2,3,6,7,4,8,5]=>[8,7,6,3,2,5,1,4]=>0000000
[1,5,8,7,6,3,2,4]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>[8,7,3,1,4,6,5,2]=>0000000
[1,7,4,2,5,3,6,8]=>[1,2,7,6,3,4,5,8]=>[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>0000000
[1,7,5,2,3,6,4,8]=>[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000
[1,7,5,2,6,3,4,8]=>[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>0000000
[1,6,3,7,4,2,5,8]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>0000000
[1,3,6,4,8,7,5,2]=>[1,2,3,6,7,5,8,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>0000000
[1,3,8,7,5,2,4,6]=>[1,2,3,8,6,4,7,5]=>[1,2,3,6,8,7,5,4]=>[8,7,6,3,1,2,4,5]=>0000000
[1,4,6,3,2,7,5,8]=>[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>0000000
[1,2,6,4,7,5,3,8]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>0000000
[1,8,3,7,5,2,4,6]=>[1,2,8,6,3,4,7,5]=>[1,2,6,3,8,7,5,4]=>[8,7,3,6,1,2,4,5]=>0000000
[1,8,4,6,3,2,7,5]=>[1,2,8,5,3,4,6,7]=>[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>0000000
[6,4,7,1,5,3,8,2]=>[1,6,3,7,8,2,4,5]=>[1,8,6,2,4,3,7,5]=>[8,1,3,7,5,6,2,4]=>0000000
[4,3,8,2,6,5,7,1]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[5,7,6,1,2,4,8,3]=>[1,5,2,7,8,3,6,4]=>[1,5,8,6,2,3,7,4]=>[8,4,1,3,7,6,2,5]=>0000000
[5,4,1,8,2,6,3,7]=>[1,5,2,4,8,7,3,6]=>[1,5,7,2,4,3,8,6]=>[8,4,2,7,5,6,1,3]=>0000000
[2,8,3,1,4,5,7,6]=>[1,2,8,6,5,4,3,7]=>[1,2,4,5,6,8,3,7]=>[8,7,5,4,3,1,6,2]=>0000000
[8,3,2,1,5,6,7,4]=>[1,8,4,2,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>0000000
[7,2,8,1,4,5,6,3]=>[1,7,6,5,4,2,3,8]=>[1,4,2,5,6,7,3,8]=>[8,5,7,4,3,2,6,1]=>0000000
[8,6,2,5,4,7,3,1]=>[1,8,2,6,7,3,4,5]=>[1,8,7,3,4,2,6,5]=>[8,1,2,6,5,7,3,4]=>0000000
[1,8,7,3,4,5,2,6]=>[1,2,8,6,5,4,3,7]=>[1,2,4,5,6,8,3,7]=>[8,7,5,4,3,1,6,2]=>0000000
[5,7,1,3,2,8,6,4]=>[1,5,2,7,6,8,4,3]=>[1,5,4,8,2,7,6,3]=>[8,4,5,1,7,2,3,6]=>0000000
[6,8,2,3,4,7,1,5]=>[1,6,7,2,8,5,4,3]=>[1,7,4,5,8,6,2,3]=>[8,2,5,4,1,3,7,6]=>0000000
[8,3,4,1,6,5,2,7]=>[1,8,7,2,3,4,5,6]=>[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>0000000
[2,5,8,4,7,1,6,3]=>[1,2,5,7,6,3,8,4]=>[1,2,6,7,5,8,4,3]=>[8,7,3,2,4,1,5,6]=>0000000
[1,4,6,2,5,3,7,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[1,3,8,7,6,5,2,4]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>0000000
[1,8,7,2,6,3,5,4]=>[1,2,8,4,3,7,5,6]=>[1,2,4,8,7,5,3,6]=>[8,7,5,1,2,4,6,3]=>0000000
[2,8,7,1,6,3,4,5]=>[1,2,8,5,6,3,7,4]=>[1,2,6,7,8,5,3,4]=>[8,7,3,2,1,4,6,5]=>0000000
[6,2,1,8,7,5,3,4]=>[1,6,5,7,3,2,4,8]=>[1,3,7,2,6,5,4,8]=>[8,6,2,7,3,4,5,1]=>0000000
[1,3,7,5,4,8,6,2]=>[1,2,3,7,6,8,4,5]=>[1,2,3,8,4,7,6,5]=>[8,7,6,1,5,2,3,4]=>0000000
[1,5,6,3,8,4,2,7]=>[1,2,5,8,7,3,6,4]=>[1,2,7,6,5,3,8,4]=>[8,7,2,3,4,6,1,5]=>0000000
[1,7,6,4,8,2,5,3]=>[1,2,7,5,8,3,6,4]=>[1,2,8,6,7,3,5,4]=>[8,7,1,3,2,6,4,5]=>0000000
[5,4,7,6,3,1,2,8]=>[1,5,3,7,2,4,6,8]=>[1,7,5,2,3,4,6,8]=>[8,2,4,7,6,5,3,1]=>0000000
[8,7,1,4,2,3,5,6]=>[1,8,6,3,2,7,5,4]=>[1,3,6,5,8,7,4,2]=>[8,6,3,4,1,2,5,7]=>0000000
[8,3,7,2,1,6,5,4]=>[1,8,4,2,3,7,5,6]=>[1,4,2,8,7,5,3,6]=>[8,5,7,1,2,4,6,3]=>0000000
[2,8,7,5,6,4,1,3]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[8,7,1,2,5,4,6,3]=>0000000
[1,5,6,3,7,2,8,4]=>[1,2,5,7,8,4,3,6]=>[1,2,4,8,5,3,7,6]=>[8,7,5,1,4,6,2,3]=>0000000
[1,5,7,3,4,2,8,6]=>[1,2,5,4,3,7,8,6]=>[1,2,4,5,3,8,7,6]=>[8,7,5,4,6,1,2,3]=>0000000
[6,5,1,4,2,8,7,3]=>[1,6,8,3,2,5,4,7]=>[1,3,8,5,2,6,4,7]=>[8,6,1,4,7,3,5,2]=>0000000
[1,7,5,4,2,8,6,3]=>[1,2,7,6,8,3,5,4]=>[1,2,8,5,3,7,6,4]=>[8,7,1,4,6,2,3,5]=>0000000
[1,4,8,2,6,7,3,5]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[1,2,5,6,8,7,3,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>0000000
[1,3,7,2,6,4,8,5]=>[1,2,3,7,8,5,6,4]=>[1,2,3,6,8,5,7,4]=>[8,7,6,3,1,4,2,5]=>0000000
[1,6,5,8,7,2,4,3]=>[1,2,6,3,5,7,4,8]=>[1,2,6,7,3,5,4,8]=>[8,7,3,2,6,4,5,1]=>0000000
[5,3,8,2,4,6,1,7]=>[1,5,4,2,3,8,7,6]=>[1,4,2,5,3,7,8,6]=>[8,5,7,4,6,2,1,3]=>0000000
[4,1,5,8,3,6,2,7]=>[1,4,8,7,2,3,5,6]=>[1,7,2,4,3,5,8,6]=>[8,2,7,5,6,4,1,3]=>0000000
[8,1,3,4,2,6,5,7]=>[1,8,7,5,2,3,4,6]=>[1,5,2,3,7,4,8,6]=>[8,4,7,6,2,5,1,3]=>0000000
[4,7,8,5,2,3,1,6]=>[1,4,5,2,7,3,8,6]=>[1,5,7,4,2,8,3,6]=>[8,4,2,5,7,1,6,3]=>0000000
[5,8,2,1,6,3,4,7]=>[1,5,6,3,2,8,7,4]=>[1,3,6,7,5,2,8,4]=>[8,6,3,2,4,7,1,5]=>0000000
[2,6,7,8,4,1,3,5]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>0000000
[2,6,7,8,4,3,1,5]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>0000000
[1,8,4,3,2,7,6,5]=>[1,2,8,5,3,4,6,7]=>[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>0000000
[3,5,1,4,6,2,7,8]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>0000000
[8,1,5,4,7,3,6,2]=>[1,8,2,3,5,7,6,4]=>[1,8,2,6,3,7,5,4]=>[8,1,7,3,6,2,4,5]=>0000000
[3,6,4,1,5,7,2,8]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>0000000
[8,1,5,4,7,6,3,2]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[8,1,7,2,6,5,4,3]=>0000000
[4,8,1,7,6,5,2,3]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[8,2,1,5,6,4,7,3]=>0000000
[1,8,3,7,6,5,2,4]=>[1,2,8,4,7,3,5,6]=>[1,2,7,8,3,5,4,6]=>[8,7,2,1,6,4,5,3]=>0000000
[8,1,2,7,6,5,4,3]=>[1,8,3,2,4,7,5,6]=>[1,3,8,2,7,5,4,6]=>[8,6,1,7,2,4,5,3]=>0000000
[7,2,6,8,5,1,4,3]=>[1,7,4,8,3,6,2,5]=>[1,6,8,7,2,3,4,5]=>[8,3,1,2,7,6,5,4]=>0000000
[1,7,5,8,2,4,6,3]=>[1,2,7,6,4,8,3,5]=>[1,2,8,6,3,7,4,5]=>[8,7,1,3,6,2,5,4]=>0000000
[7,5,2,8,1,4,6,3]=>[1,7,6,4,8,3,2,5]=>[1,3,8,6,2,7,4,5]=>[8,6,1,3,7,2,5,4]=>0000000
[6,7,8,2,5,4,3,1]=>[1,6,4,2,7,3,8,5]=>[1,4,6,7,8,3,2,5]=>[8,5,3,2,1,6,7,4]=>0000000
[1,5,8,7,4,3,2,6]=>[1,2,5,4,7,3,8,6]=>[1,2,7,5,4,8,3,6]=>[8,7,2,4,5,1,6,3]=>0000000
[1,4,7,2,3,6,8,5]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,5,7,6]=>[8,7,5,6,1,4,2,3]=>0000000
[1,6,3,4,7,8,2,5]=>[1,2,6,8,5,7,3,4]=>[1,2,7,3,8,6,5,4]=>[8,7,2,6,1,3,4,5]=>0000000
[1,8,5,4,2,7,3,6]=>[1,2,8,6,7,3,5,4]=>[1,2,7,5,3,8,6,4]=>[8,7,2,4,6,1,3,5]=>0000000
[3,1,8,5,4,7,2,6]=>[1,3,8,6,7,2,4,5]=>[1,7,3,2,4,8,6,5]=>[8,2,6,7,5,1,3,4]=>0000000
[5,3,1,8,6,2,4,7]=>[1,5,6,2,3,4,8,7]=>[1,6,2,3,5,4,8,7]=>[8,3,7,6,4,5,1,2]=>0000000
[7,3,2,4,8,5,1,6]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>0000000
[5,7,1,2,3,8,6,4]=>[1,5,3,2,7,6,8,4]=>[1,3,5,8,2,7,6,4]=>[8,6,4,1,7,2,3,5]=>0000000
[1,8,3,6,4,7,2,5]=>[1,2,8,5,4,6,7,3]=>[1,2,7,5,8,4,6,3]=>[8,7,2,4,1,5,3,6]=>0000000
[2,8,6,4,1,7,3,5]=>[1,2,8,5,3,6,7,4]=>[1,2,5,8,7,4,6,3]=>[8,7,4,1,2,5,3,6]=>0000000
[6,5,1,7,2,8,4,3]=>[1,6,8,3,2,5,4,7]=>[1,3,8,5,2,6,4,7]=>[8,6,1,4,7,3,5,2]=>0000000
[4,3,5,7,1,6,2,8]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>0000000
[4,2,8,5,3,6,7,1]=>[1,4,5,3,8,2,6,7]=>[1,8,5,4,3,2,6,7]=>[8,1,4,5,6,7,3,2]=>0000000
[3,1,8,5,4,6,2,7]=>[1,3,8,7,2,4,5,6]=>[1,7,3,2,4,5,8,6]=>[8,2,6,7,5,4,1,3]=>0000000
[6,1,8,4,5,3,2,7]=>[1,6,3,8,7,2,4,5]=>[1,7,6,2,4,3,8,5]=>[8,2,3,7,5,6,1,4]=>0000000
[4,3,5,7,1,6,8,2]=>[1,4,7,8,2,3,5,6]=>[1,8,2,4,3,5,7,6]=>[8,1,7,5,6,4,2,3]=>0000000
[4,1,8,5,3,6,7,2]=>[1,4,5,3,8,2,6,7]=>[1,8,5,4,3,2,6,7]=>[8,1,4,5,6,7,3,2]=>0000000
[6,5,8,7,1,3,2,4]=>[1,6,3,8,4,7,2,5]=>[1,7,6,8,2,3,4,5]=>[8,2,3,1,7,6,5,4]=>0000000
[3,2,6,8,5,4,7,1]=>[1,3,6,4,8,2,5,7]=>[1,8,3,6,2,4,5,7]=>[8,1,6,3,7,5,4,2]=>0000000
[6,2,8,4,5,7,1,3]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[8,2,7,1,5,3,6,4]=>0000000
[4,2,7,3,5,8,6,1]=>[1,4,3,7,6,8,2,5]=>[1,8,4,3,2,7,6,5]=>[8,1,5,6,7,2,3,4]=>0000000
[3,6,2,4,8,5,7,1]=>[1,3,2,6,5,8,4,7]=>[1,3,2,8,6,5,4,7]=>[8,6,7,1,3,4,5,2]=>0000000
[2,7,5,4,3,8,6,1]=>[1,2,7,6,8,3,5,4]=>[1,2,8,5,3,7,6,4]=>[8,7,1,4,6,2,3,5]=>0000000
[4,6,3,8,7,2,5,1]=>[1,4,8,2,6,3,5,7]=>[1,8,6,4,3,2,5,7]=>[8,1,3,5,6,7,4,2]=>0000000
[3,5,8,2,7,4,6,1]=>[1,3,8,2,5,7,6,4]=>[1,8,3,6,2,7,5,4]=>[8,1,6,3,7,2,4,5]=>0000000
[2,4,8,7,3,6,5,1]=>[1,2,4,7,5,3,8,6]=>[1,2,5,4,7,8,3,6]=>[8,7,4,5,2,1,6,3]=>0000000
[6,1,2,8,7,3,4,5]=>[1,6,3,2,4,8,5,7]=>[1,3,6,2,8,4,5,7]=>[8,6,3,7,1,5,4,2]=>0000000
[2,3,7,8,5,1,6,4]=>[1,2,3,7,6,4,8,5]=>[1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>0000000
[3,5,1,8,7,4,2,6]=>[1,3,2,5,7,4,8,6]=>[1,3,2,7,5,8,4,6]=>[8,6,7,2,4,1,5,3]=>0000000
[8,1,5,2,3,7,6,4]=>[1,8,4,2,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>0000000
[6,5,7,8,1,3,4,2]=>[1,6,3,7,4,8,2,5]=>[1,8,6,7,2,3,4,5]=>[8,1,3,2,7,6,5,4]=>0000000
[3,4,2,8,6,7,5,1]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>0000000
[5,3,8,4,7,1,6,2]=>[1,5,7,6,2,3,8,4]=>[1,6,2,7,5,8,4,3]=>[8,3,7,2,4,1,5,6]=>0000000
[2,7,8,3,1,6,4,5]=>[1,2,7,4,3,8,5,6]=>[1,2,4,7,8,5,3,6]=>[8,7,5,2,1,4,6,3]=>0000000
[3,5,8,7,4,1,6,2]=>[1,3,8,2,5,4,7,6]=>[1,8,3,5,2,7,4,6]=>[8,1,6,4,7,2,5,3]=>0000000
[2,7,8,1,3,6,4,5]=>[1,2,7,4,3,8,5,6]=>[1,2,4,7,8,5,3,6]=>[8,7,5,2,1,4,6,3]=>0000000
[5,8,2,6,3,7,4,1]=>[1,5,3,2,8,4,6,7]=>[1,3,5,8,2,4,6,7]=>[8,6,4,1,7,5,3,2]=>0000000
[2,7,5,6,4,3,8,1]=>[1,2,7,8,3,5,4,6]=>[1,2,8,5,3,4,7,6]=>[8,7,1,4,6,5,2,3]=>0000000
[7,8,6,3,5,4,2,1]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>[8,2,1,3,5,6,7,4]=>0000000
[4,2,8,5,3,7,6,1]=>[1,4,5,3,8,2,6,7]=>[1,8,5,4,3,2,6,7]=>[8,1,4,5,6,7,3,2]=>0000000
[4,8,3,7,5,6,2,1]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[8,2,1,5,6,4,7,3]=>0000000
[6,2,5,8,3,7,4,1]=>[1,6,7,4,8,2,3,5]=>[1,8,2,7,3,6,4,5]=>[8,1,7,2,6,3,5,4]=>0000000
[4,7,3,8,2,5,6,1]=>[1,4,8,2,7,6,5,3]=>[1,8,5,4,6,7,2,3]=>[8,1,4,5,3,2,7,6]=>0000000
[8,2,5,6,3,7,4,1]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[8,1,7,4,6,5,3,2]=>0000000
[4,5,8,1,3,2,6,7]=>[1,4,2,5,3,8,7,6]=>[1,4,5,2,3,7,8,6]=>[8,5,4,7,6,2,1,3]=>0000000
[4,5,8,1,3,7,2,6]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[8,5,4,7,6,1,3,2]=>0000000
[5,7,2,8,3,4,6,1]=>[1,5,3,2,7,6,4,8]=>[1,3,5,6,2,7,4,8]=>[8,6,4,3,7,2,5,1]=>0000000
[2,3,8,6,7,5,4,1]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>0000000
[5,3,7,8,4,2,6,1]=>[1,5,4,8,2,3,7,6]=>[1,8,2,5,4,7,3,6]=>[8,1,7,4,5,2,6,3]=>0000000
[4,7,1,3,2,5,6,8]=>[1,4,3,2,7,6,5,8]=>[1,3,4,2,6,7,5,8]=>[8,6,5,7,3,2,4,1]=>0000000
[4,7,6,8,3,1,5,2]=>[1,4,8,2,7,5,3,6]=>[1,8,5,4,7,3,2,6]=>[8,1,4,5,2,6,7,3]=>0000000
[4,1,5,7,6,3,2,8]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>0000000
[5,3,8,2,7,1,6,4]=>[1,5,7,6,2,3,8,4]=>[1,6,2,7,5,8,4,3]=>[8,3,7,2,4,1,5,6]=>0000000
[1,2,7,4,3,8,6,5]=>[1,2,3,7,6,8,5,4]=>[1,2,3,5,8,7,6,4]=>[8,7,6,4,1,2,3,5]=>0000000
[4,6,7,2,5,1,8,3]=>[1,4,2,6,3,7,8,5]=>[1,4,6,2,8,3,7,5]=>[8,5,3,7,1,6,2,4]=>0000000
[3,4,2,7,8,6,1,5]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[8,6,7,5,2,1,4,3]=>0000000
[3,4,2,7,8,1,5,6]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[8,6,7,5,2,1,4,3]=>0000000
[7,8,3,5,4,1,2,6]=>[1,7,2,8,6,3,4,5]=>[1,7,6,3,4,8,2,5]=>[8,2,3,6,5,1,7,4]=>0000000
[3,5,4,1,2,7,6,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[3,5,4,1,7,2,6,8]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>0000000
[7,8,5,1,3,2,4,6]=>[1,7,4,2,8,6,3,5]=>[1,4,7,6,2,8,3,5]=>[8,5,2,3,7,1,6,4]=>0000000
[8,7,1,5,3,2,6,4]=>[1,8,4,5,3,2,7,6]=>[1,3,5,8,4,7,2,6]=>[8,6,4,1,5,2,7,3]=>0000000
[8,6,7,2,5,3,1,4]=>[1,8,4,2,6,3,7,5]=>[1,4,8,6,7,3,2,5]=>[8,5,1,3,2,6,7,4]=>0000000
[1,8,2,6,5,3,4,7]=>[1,2,8,7,4,6,3,5]=>[1,2,6,7,3,4,8,5]=>[8,7,3,2,6,5,1,4]=>0000000
[8,6,1,5,2,3,4,7]=>[1,8,7,4,5,2,6,3]=>[1,5,6,7,4,2,8,3]=>[8,4,3,2,5,7,1,6]=>0000000
[1,5,8,7,6,3,4,2]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>[8,7,3,1,4,6,5,2]=>0000000
[1,5,7,8,4,2,3,6]=>[1,2,5,4,8,6,3,7]=>[1,2,6,5,4,8,3,7]=>[8,7,3,4,5,1,6,2]=>0000000
[1,6,8,5,4,2,3,7]=>[1,2,6,3,8,7,4,5]=>[1,2,6,7,4,3,8,5]=>[8,7,3,2,5,6,1,4]=>0000000
[2,3,6,4,7,5,1,8]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>0000000
[4,1,5,7,6,8,2,3]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>0000000
[5,8,1,4,2,3,6,7]=>[1,5,2,8,7,6,3,4]=>[1,5,6,3,2,7,8,4]=>[8,4,3,6,7,2,1,5]=>0000000
[4,5,8,2,3,1,6,7]=>[1,4,2,5,3,8,7,6]=>[1,4,5,2,3,7,8,6]=>[8,5,4,7,6,2,1,3]=>0000000
[5,3,6,8,1,4,7,2]=>[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>[8,4,7,3,6,5,1,2]=>0000000
[6,4,8,1,5,7,2,3]=>[1,6,7,2,4,3,8,5]=>[1,7,4,2,8,6,3,5]=>[8,2,5,7,1,3,6,4]=>0000000
[1,2,5,6,8,3,7,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>0000000
[5,1,6,8,7,2,3,4]=>[1,5,7,3,6,2,4,8]=>[1,6,7,2,5,3,4,8]=>[8,3,2,7,4,6,5,1]=>0000000
[5,6,8,1,2,3,7,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[8,4,3,1,7,6,5,2]=>0000000
[2,8,1,3,5,7,4,6]=>[1,2,8,6,7,4,3,5]=>[1,2,4,7,3,8,6,5]=>[8,7,5,2,6,1,3,4]=>0000000
[8,3,2,1,6,5,7,4]=>[1,8,4,2,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>0000000
[1,2,5,6,8,4,7,3]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>0000000
[1,5,6,8,4,7,2,3]=>[1,2,5,4,8,3,6,7]=>[1,2,8,5,4,3,6,7]=>[8,7,1,4,5,6,3,2]=>0000000
[1,3,5,6,8,4,7,2]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>0000000
[2,7,6,3,8,5,1,4]=>[1,2,7,3,6,5,8,4]=>[1,2,7,8,6,3,5,4]=>[8,7,2,1,3,6,4,5]=>0000000
[2,3,1,8,4,6,5,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[2,3,1,8,4,6,7,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[2,7,4,1,3,6,8,5]=>[1,2,7,8,5,3,4,6]=>[1,2,5,3,8,4,7,6]=>[8,7,4,6,1,5,2,3]=>0000000
[2,6,8,4,5,3,1,7]=>[1,2,6,3,8,7,4,5]=>[1,2,6,7,4,3,8,5]=>[8,7,3,2,5,6,1,4]=>0000000
[5,1,6,3,2,4,7,8]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>0000000
[6,2,1,7,5,8,4,3]=>[1,6,8,3,2,4,7,5]=>[1,3,8,2,7,6,4,5]=>[8,6,1,7,2,3,5,4]=>0000000
[1,5,7,8,6,4,2,3]=>[1,2,5,6,4,8,3,7]=>[1,2,8,6,5,4,3,7]=>[8,7,1,3,4,5,6,2]=>0000000
[5,8,6,1,2,4,7,3]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[8,4,1,3,7,6,5,2]=>0000000
[8,3,1,2,4,6,5,7]=>[1,8,7,5,4,2,3,6]=>[1,4,2,5,7,3,8,6]=>[8,5,7,4,2,6,1,3]=>0000000
[5,3,8,4,2,7,6,1]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>0000000
[3,1,2,8,6,5,7,4]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>0000000
[8,7,1,4,5,3,6,2]=>[1,8,2,7,6,3,4,5]=>[1,8,6,3,4,7,2,5]=>[8,1,3,6,5,2,7,4]=>0000000
[2,8,7,4,6,3,1,5]=>[1,2,8,5,6,3,7,4]=>[1,2,6,7,8,5,3,4]=>[8,7,3,2,1,4,6,5]=>0000000
[8,4,1,3,2,5,7,6]=>[1,8,6,5,2,4,3,7]=>[1,5,4,2,6,8,3,7]=>[8,4,5,7,3,1,6,2]=>0000000
[7,2,8,4,6,5,1,3]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[8,2,7,1,5,4,6,3]=>0000000
[6,7,5,2,4,8,3,1]=>[1,6,8,2,7,3,5,4]=>[1,8,7,5,3,6,2,4]=>[8,1,2,4,6,3,7,5]=>0000000
[8,7,2,4,6,1,5,3]=>[1,8,3,2,7,5,6,4]=>[1,3,8,6,7,5,2,4]=>[8,6,1,3,2,4,7,5]=>0000000
[8,2,7,3,4,6,1,5]=>[1,8,5,4,3,7,2,6]=>[1,7,4,5,8,2,3,6]=>[8,2,5,4,1,7,6,3]=>0000000
[2,5,7,1,6,3,4,8]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>[8,7,3,2,4,6,5,1]=>0000000
[2,5,7,1,6,3,8,4]=>[1,2,5,6,3,7,8,4]=>[1,2,6,8,5,3,7,4]=>[8,7,3,1,4,6,2,5]=>0000000
[3,6,5,2,1,4,7,8]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[8,4,6,3,7,5,2,1]=>0000000
[3,6,5,7,1,4,2,8]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[8,4,6,3,7,5,2,1]=>0000000
[4,1,6,5,3,7,8,2]=>[1,4,5,3,6,7,8,2]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>0000000
[4,1,5,7,6,3,8,2]=>[1,4,7,8,2,3,5,6]=>[1,8,2,4,3,5,7,6]=>[8,1,7,5,6,4,2,3]=>0000000
[3,4,7,6,8,2,5,1]=>[1,3,7,5,8,2,4,6]=>[1,8,3,2,7,4,5,6]=>[8,1,6,7,2,5,4,3]=>0000000
[4,2,5,7,6,3,8,1]=>[1,4,7,8,2,3,5,6]=>[1,8,2,4,3,5,7,6]=>[8,1,7,5,6,4,2,3]=>0000000
[3,6,5,7,2,1,4,8]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[8,4,6,3,7,5,2,1]=>0000000
[5,3,8,2,1,4,6,7]=>[1,5,2,3,8,7,6,4]=>[1,5,2,6,3,7,8,4]=>[8,4,7,3,6,2,1,5]=>0000000
[5,8,2,4,6,3,1,7]=>[1,5,6,3,2,8,7,4]=>[1,3,6,7,5,2,8,4]=>[8,6,3,2,4,7,1,5]=>0000000
[5,8,1,4,6,2,3,7]=>[1,5,6,2,8,7,3,4]=>[1,6,7,3,5,2,8,4]=>[8,3,2,6,4,7,1,5]=>0000000
[5,1,8,4,6,7,2,3]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>[8,2,7,1,4,3,6,5]=>0000000
[3,8,6,2,1,4,5,7]=>[1,3,6,4,2,8,7,5]=>[1,4,3,6,7,2,8,5]=>[8,5,6,3,2,7,1,4]=>0000000
[8,1,3,6,2,4,5,7]=>[1,8,7,5,2,3,4,6]=>[1,5,2,3,7,4,8,6]=>[8,4,7,6,2,5,1,3]=>0000000
[2,5,8,4,6,1,7,3]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>[8,7,3,1,4,6,5,2]=>0000000
[8,1,4,6,3,7,2,5]=>[1,8,5,3,4,6,7,2]=>[1,7,5,3,8,4,6,2]=>[8,2,4,6,1,5,3,7]=>0000000
[8,2,1,4,7,3,6,5]=>[1,8,5,7,6,3,2,4]=>[1,3,6,2,7,8,4,5]=>[8,6,3,7,2,1,5,4]=>0000000
[4,3,1,7,8,5,2,6]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>[8,2,7,5,6,1,4,3]=>0000000
[4,2,7,8,3,5,6,1]=>[1,4,8,2,3,7,6,5]=>[1,8,2,4,6,7,3,5]=>[8,1,7,5,3,2,6,4]=>0000000
[3,8,4,2,5,1,7,6]=>[1,3,4,2,8,6,5,7]=>[1,4,3,2,6,8,5,7]=>[8,5,6,7,3,1,4,2]=>0000000
[3,2,4,8,7,5,6,1]=>[1,3,4,8,2,5,7,6]=>[1,8,3,4,2,7,5,6]=>[8,1,6,5,7,2,4,3]=>0000000
[2,6,8,1,5,3,4,7]=>[1,2,6,3,8,7,4,5]=>[1,2,6,7,4,3,8,5]=>[8,7,3,2,5,6,1,4]=>0000000
[8,1,5,2,4,6,3,7]=>[1,8,7,3,5,4,2,6]=>[1,4,5,7,2,3,8,6]=>[8,5,4,2,7,6,1,3]=>0000000
[1,2,4,8,6,3,7,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[5,7,2,3,1,4,8,6]=>[1,5,2,7,8,6,4,3]=>[1,5,4,6,2,8,7,3]=>[8,4,5,3,7,1,2,6]=>0000000
[8,4,2,7,3,5,6,1]=>[1,8,2,4,7,6,5,3]=>[1,8,5,2,6,7,4,3]=>[8,1,4,7,3,2,5,6]=>0000000
[1,8,6,4,7,5,3,2]=>[1,2,8,3,6,5,7,4]=>[1,2,8,7,6,3,5,4]=>[8,7,1,2,3,6,4,5]=>0000000
[4,5,8,7,3,1,2,6]=>[1,4,7,2,5,3,8,6]=>[1,7,5,4,2,8,3,6]=>[8,2,4,5,7,1,6,3]=>0000000
[8,6,4,7,5,1,2,3]=>[1,8,3,4,7,2,6,5]=>[1,7,8,3,6,2,4,5]=>[8,2,1,6,3,7,5,4]=>0000000
[2,8,5,1,7,4,6,3]=>[1,2,8,3,5,7,6,4]=>[1,2,8,6,3,7,5,4]=>[8,7,1,3,6,2,4,5]=>0000000
[1,8,6,4,7,5,2,3]=>[1,2,8,3,6,5,7,4]=>[1,2,8,7,6,3,5,4]=>[8,7,1,2,3,6,4,5]=>0000000
[1,2,8,6,4,7,5,3]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>[8,7,6,1,2,5,3,4]=>0000000
[5,2,7,4,3,6,1,8]=>[1,5,3,7,2,4,6,8]=>[1,7,5,2,3,4,6,8]=>[8,2,4,7,6,5,3,1]=>0000000
[1,2,8,6,4,5,7,3]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>0000000
[1,8,2,7,5,3,4,6]=>[1,2,8,6,3,4,7,5]=>[1,2,6,3,8,7,5,4]=>[8,7,3,6,1,2,4,5]=>0000000
[1,8,5,3,2,6,7,4]=>[1,2,8,4,3,5,6,7]=>[1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>0000000
[5,6,8,3,4,2,7,1]=>[1,5,4,3,8,2,6,7]=>[1,8,4,5,3,2,6,7]=>[8,1,5,4,6,7,3,2]=>0000000
[6,3,8,2,4,1,7,5]=>[1,6,2,3,8,5,4,7]=>[1,6,2,5,8,3,4,7]=>[8,3,7,4,1,6,5,2]=>0000000
[8,5,2,4,3,7,1,6]=>[1,8,6,7,2,5,3,4]=>[1,7,5,3,2,8,6,4]=>[8,2,4,6,7,1,3,5]=>0000000
[7,5,4,1,3,6,8,2]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>[8,1,4,6,7,5,2,3]=>0000000
[3,8,5,7,4,6,2,1]=>[1,3,5,4,7,2,8,6]=>[1,7,3,5,4,8,2,6]=>[8,2,6,4,5,1,7,3]=>0000000
[8,6,2,4,5,7,1,3]=>[1,8,3,2,6,7,4,5]=>[1,3,8,7,4,2,6,5]=>[8,6,1,2,5,7,3,4]=>0000000
[7,2,3,4,6,8,1,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[4,6,3,7,5,8,2,1]=>[1,4,7,2,6,8,3,5]=>[1,7,8,4,3,2,6,5]=>[8,2,1,5,6,7,3,4]=>0000000
[4,2,5,7,8,6,3,1]=>[1,4,7,3,5,8,2,6]=>[1,8,7,4,3,2,5,6]=>[8,1,2,5,6,7,4,3]=>0000000
[8,2,3,4,7,1,5,6]=>[1,8,6,2,3,4,5,7]=>[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>0000000
[6,7,3,2,5,8,1,4]=>[1,6,8,4,2,7,3,5]=>[1,4,8,7,2,6,3,5]=>[8,5,1,2,7,3,6,4]=>0000000
[8,3,5,1,2,4,7,6]=>[1,8,6,4,2,3,5,7]=>[1,4,2,6,3,8,5,7]=>[8,5,7,3,6,1,4,2]=>0000000
[3,4,8,2,1,7,6,5]=>[1,3,8,5,2,4,6,7]=>[1,5,3,2,8,4,6,7]=>[8,4,6,7,1,5,3,2]=>0000000
[8,3,5,2,7,4,6,1]=>[1,8,2,3,5,7,6,4]=>[1,8,2,6,3,7,5,4]=>[8,1,7,3,6,2,4,5]=>0000000
[8,2,6,5,7,1,3,4]=>[1,8,4,5,7,3,6,2]=>[1,6,7,8,4,3,5,2]=>[8,3,2,1,5,6,4,7]=>0000000
[8,4,3,7,5,1,2,6]=>[1,8,6,2,4,7,3,5]=>[1,6,8,3,2,7,4,5]=>[8,3,1,6,7,2,5,4]=>0000000
[8,4,7,6,5,2,1,3]=>[1,8,3,7,2,4,6,5]=>[1,7,8,2,6,4,3,5]=>[8,2,1,7,3,5,6,4]=>0000000
[4,3,8,6,5,2,7,1]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[8,3,7,5,1,6,4,2]=>0000000
[2,3,8,6,5,1,7,4]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>0000000
[8,4,7,1,2,5,3,6]=>[1,8,6,5,2,4,3,7]=>[1,5,4,2,6,8,3,7]=>[8,4,5,7,3,1,6,2]=>0000000
[8,5,6,7,3,1,4,2]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[8,1,4,3,7,6,5,2]=>0000000
[8,2,4,1,6,7,3,5]=>[1,8,5,6,7,3,4,2]=>[1,4,7,3,8,5,6,2]=>[8,5,2,6,1,4,3,7]=>0000000
[6,3,1,2,8,7,5,4]=>[1,6,7,5,8,4,2,3]=>[1,4,2,8,7,6,5,3]=>[8,5,7,1,2,3,4,6]=>0000000
[1,2,5,7,8,3,6,4]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[8,7,6,1,4,2,5,3]=>0000000
[7,6,3,4,2,1,8,5]=>[1,7,8,5,2,6,3,4]=>[1,5,8,2,6,3,7,4]=>[8,4,1,7,3,6,2,5]=>0000000
[8,2,4,6,3,7,1,5]=>[1,8,5,3,4,6,7,2]=>[1,7,5,3,8,4,6,2]=>[8,2,4,6,1,5,3,7]=>0000000
[4,5,6,2,7,1,8,3]=>[1,4,2,5,7,8,3,6]=>[1,4,8,2,5,3,7,6]=>[8,5,1,7,4,6,2,3]=>0000000
[7,8,1,4,3,2,5,6]=>[1,7,5,3,2,8,6,4]=>[1,3,5,7,6,8,4,2]=>[8,6,4,2,3,1,5,7]=>0000000
[1,7,8,4,5,3,6,2]=>[1,2,7,6,3,8,4,5]=>[1,2,6,7,3,8,4,5]=>[8,7,3,2,6,1,5,4]=>0000000
[8,1,7,4,3,5,6,2]=>[1,8,2,3,7,6,5,4]=>[1,8,2,5,6,7,3,4]=>[8,1,7,4,3,2,6,5]=>0000000
[4,3,1,8,6,5,7,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>0000000
[4,3,2,7,5,1,8,6]=>[1,4,7,8,6,2,3,5]=>[1,6,2,4,3,8,7,5]=>[8,3,7,5,6,1,2,4]=>0000000
[8,7,1,3,4,5,6,2]=>[1,8,2,7,6,5,4,3]=>[1,8,4,5,6,7,2,3]=>[8,1,5,4,3,2,7,6]=>0000000
[1,6,4,2,5,7,8,3]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[8,7,1,6,5,3,2,4]=>0000000
[8,5,3,1,4,6,7,2]=>[1,8,2,5,4,3,6,7]=>[1,8,4,5,2,3,6,7]=>[8,1,5,4,7,6,3,2]=>0000000
[6,8,2,3,1,5,7,4]=>[1,6,5,2,8,4,3,7]=>[1,5,4,6,8,3,2,7]=>[8,4,5,3,1,6,7,2]=>0000000
[5,2,4,7,8,6,3,1]=>[1,5,8,2,3,4,7,6]=>[1,8,2,3,5,7,4,6]=>[8,1,7,6,4,2,5,3]=>0000000
[8,4,2,7,6,1,5,3]=>[1,8,3,2,4,7,5,6]=>[1,3,8,2,7,5,4,6]=>[8,6,1,7,2,4,5,3]=>0000000
[3,5,1,7,6,4,2,8]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>0000000
[3,6,4,2,5,7,1,8]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>0000000
[1,3,6,2,5,8,7,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000
[1,3,5,8,6,4,7,2]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>0000000
[5,7,1,4,3,2,6,8]=>[1,5,3,2,7,6,4,8]=>[1,3,5,6,2,7,4,8]=>[8,6,4,3,7,2,5,1]=>0000000
[5,7,3,8,1,2,4,6]=>[1,5,2,7,4,8,6,3]=>[1,5,6,8,2,7,3,4]=>[8,4,3,1,7,2,6,5]=>0000000
[6,4,1,8,7,2,5,3]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>0000000
[2,5,8,1,7,6,3,4]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[8,7,2,1,4,5,6,3]=>0000000
[4,5,8,7,1,6,2,3]=>[1,4,7,2,5,3,8,6]=>[1,7,5,4,2,8,3,6]=>[8,2,4,5,7,1,6,3]=>0000000
[2,5,1,8,4,7,6,3]=>[1,2,5,4,8,3,6,7]=>[1,2,8,5,4,3,6,7]=>[8,7,1,4,5,6,3,2]=>0000000
[2,4,5,8,1,7,6,3]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>0000000
[4,1,8,2,6,7,3,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[8,1,3,2,7,6,4,5]=>[1,8,5,7,4,2,3,6]=>[1,4,2,7,8,3,5,6]=>[8,5,7,2,1,6,4,3]=>0000000
[6,2,5,3,8,1,4,7]=>[1,6,2,3,5,8,7,4]=>[1,6,2,7,3,5,8,4]=>[8,3,7,2,6,4,1,5]=>0000000
[1,3,5,4,8,7,2,6]=>[1,2,3,5,8,6,7,4]=>[1,2,3,7,5,8,6,4]=>[8,7,6,2,4,1,3,5]=>0000000
[8,1,3,2,6,5,7,4]=>[1,8,4,2,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>0000000
[5,1,3,7,2,6,4,8]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000
[1,7,8,5,4,2,6,3]=>[1,2,7,6,3,8,4,5]=>[1,2,6,7,3,8,4,5]=>[8,7,3,2,6,1,5,4]=>0000000
[8,1,7,5,4,2,6,3]=>[1,8,3,7,6,2,4,5]=>[1,6,7,3,4,8,2,5]=>[8,3,2,6,5,1,7,4]=>0000000
[1,5,2,8,6,4,7,3]=>[1,2,5,6,4,8,3,7]=>[1,2,8,6,5,4,3,7]=>[8,7,1,3,4,5,6,2]=>0000000
[4,6,8,2,5,7,1,3]=>[1,4,2,6,7,3,8,5]=>[1,4,7,2,8,6,3,5]=>[8,5,2,7,1,3,6,4]=>0000000
[6,4,8,2,5,7,1,3]=>[1,6,7,2,4,3,8,5]=>[1,7,4,2,8,6,3,5]=>[8,2,5,7,1,3,6,4]=>0000000
[8,6,2,3,1,5,4,7]=>[1,8,7,4,3,2,6,5]=>[1,3,4,7,6,2,8,5]=>[8,6,5,2,3,7,1,4]=>0000000
[8,2,6,3,1,7,4,5]=>[1,8,5,2,3,6,7,4]=>[1,5,2,8,7,4,6,3]=>[8,4,7,1,2,5,3,6]=>0000000
[8,6,1,3,4,5,7,2]=>[1,8,2,6,5,4,3,7]=>[1,8,4,5,6,2,3,7]=>[8,1,5,4,3,7,6,2]=>0000000
[5,2,3,8,1,7,4,6]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[5,1,3,2,6,7,8,4]=>[1,5,6,7,8,4,2,3]=>[1,4,2,8,5,6,7,3]=>[8,5,7,1,4,3,2,6]=>0000000
[2,6,7,3,4,5,1,8]=>[1,2,6,5,4,3,7,8]=>[1,2,4,5,6,3,7,8]=>[8,7,5,4,3,6,2,1]=>0000000
[2,8,7,5,1,3,4,6]=>[1,2,8,6,3,7,4,5]=>[1,2,6,8,3,7,4,5]=>[8,7,3,1,6,2,5,4]=>0000000
[1,5,7,3,6,2,8,4]=>[1,2,5,6,3,7,8,4]=>[1,2,6,8,5,3,7,4]=>[8,7,3,1,4,6,2,5]=>0000000
[1,5,6,4,8,2,3,7]=>[1,2,5,8,7,3,6,4]=>[1,2,7,6,5,3,8,4]=>[8,7,2,3,4,6,1,5]=>0000000
[8,3,7,5,1,4,2,6]=>[1,8,6,4,5,2,3,7]=>[1,5,2,6,4,8,3,7]=>[8,4,7,3,5,1,6,2]=>0000000
[4,6,3,5,2,7,8,1]=>[1,4,5,2,6,7,8,3]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>0000000
[3,1,5,7,4,6,8,2]=>[1,3,5,4,7,8,2,6]=>[1,8,3,5,4,2,7,6]=>[8,1,6,4,5,7,2,3]=>0000000
[3,5,4,1,2,6,7,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>0000000
[6,2,1,4,7,5,8,3]=>[1,6,5,7,8,3,2,4]=>[1,3,8,2,6,5,7,4]=>[8,6,1,7,3,4,2,5]=>0000000
[3,2,6,7,4,8,5,1]=>[1,3,6,8,2,4,7,5]=>[1,8,3,2,7,6,4,5]=>[8,1,6,7,2,3,5,4]=>0000000
[7,1,8,3,4,6,2,5]=>[1,7,2,3,8,5,4,6]=>[1,7,2,5,8,4,3,6]=>[8,2,7,4,1,5,6,3]=>0000000
[5,1,8,3,4,6,2,7]=>[1,5,4,3,8,7,2,6]=>[1,7,4,5,3,2,8,6]=>[8,2,5,4,6,7,1,3]=>0000000
[4,5,8,2,3,7,1,6]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[8,5,4,7,6,1,3,2]=>0000000
[1,7,6,5,3,8,2,4]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>[8,7,2,1,5,6,3,4]=>0000000
[8,4,1,5,2,6,7,3]=>[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>0000000
[2,7,8,4,1,3,6,5]=>[1,2,7,6,3,8,5,4]=>[1,2,6,5,7,8,4,3]=>[8,7,3,4,2,1,5,6]=>0000000
[4,8,2,7,6,5,1,3]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[8,2,1,5,6,4,7,3]=>0000000
[3,2,1,6,5,8,4,7]=>[1,3,2,4,6,8,7,5]=>[1,3,2,4,7,6,8,5]=>[8,6,7,5,2,3,1,4]=>0000000
[4,8,7,1,3,2,6,5]=>[1,4,2,8,5,3,7,6]=>[1,4,5,2,8,7,3,6]=>[8,5,4,7,1,2,6,3]=>0000000
[4,2,5,8,6,7,1,3]=>[1,4,8,3,5,6,7,2]=>[1,7,8,4,3,5,6,2]=>[8,2,1,5,6,4,3,7]=>0000000
[2,4,5,8,1,3,7,6]=>[1,2,4,8,6,3,5,7]=>[1,2,6,4,3,8,5,7]=>[8,7,3,5,6,1,4,2]=>0000000
[2,7,8,6,5,3,1,4]=>[1,2,7,3,8,4,6,5]=>[1,2,7,8,6,4,3,5]=>[8,7,2,1,3,5,6,4]=>0000000
[5,1,6,4,7,8,2,3]=>[1,5,7,2,3,6,8,4]=>[1,7,2,8,5,3,6,4]=>[8,2,7,1,4,6,3,5]=>0000000
[3,2,8,5,6,1,4,7]=>[1,3,8,7,4,5,6,2]=>[1,6,3,7,4,5,8,2]=>[8,3,6,2,5,4,1,7]=>0000000
[8,5,4,7,6,3,1,2]=>[1,8,2,5,6,3,4,7]=>[1,8,6,3,2,5,4,7]=>[8,1,3,6,7,4,5,2]=>0000000
[1,5,4,8,7,6,2,3]=>[1,2,5,7,3,4,8,6]=>[1,2,7,3,5,8,4,6]=>[8,7,2,6,4,1,5,3]=>0000000
[3,2,4,5,8,1,6,7]=>[1,3,4,5,8,7,6,2]=>[1,6,3,4,5,7,8,2]=>[8,3,6,5,4,2,1,7]=>0000000
[3,6,5,1,7,2,8,4]=>[1,3,5,7,8,4,2,6]=>[1,4,3,8,5,2,7,6]=>[8,5,6,1,4,7,2,3]=>0000000
[6,4,1,7,2,8,5,3]=>[1,6,8,3,2,4,7,5]=>[1,3,8,2,7,6,4,5]=>[8,6,1,7,2,3,5,4]=>0000000
[1,6,8,2,5,3,4,7]=>[1,2,6,3,8,7,4,5]=>[1,2,6,7,4,3,8,5]=>[8,7,3,2,5,6,1,4]=>0000000
[8,6,3,5,2,1,4,7]=>[1,8,7,4,5,2,6,3]=>[1,5,6,7,4,2,8,3]=>[8,4,3,2,5,7,1,6]=>0000000
[8,4,2,7,6,5,1,3]=>[1,8,3,2,4,7,5,6]=>[1,3,8,2,7,5,4,6]=>[8,6,1,7,2,4,5,3]=>0000000
[4,1,3,8,5,6,2,7]=>[1,4,8,7,2,3,5,6]=>[1,7,2,4,3,5,8,6]=>[8,2,7,5,6,4,1,3]=>0000000
[2,5,3,8,7,4,1,6]=>[1,2,5,7,3,4,8,6]=>[1,2,7,3,5,8,4,6]=>[8,7,2,6,4,1,5,3]=>0000000
[5,8,2,7,4,6,3,1]=>[1,5,4,7,3,2,8,6]=>[1,3,7,5,4,8,2,6]=>[8,6,2,4,5,1,7,3]=>0000000
[4,5,8,1,3,7,6,2]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[8,5,4,7,6,1,3,2]=>0000000
[7,1,6,8,5,4,3,2]=>[1,7,3,6,4,8,2,5]=>[1,8,7,6,2,3,4,5]=>[8,1,2,3,7,6,5,4]=>0000000
[1,4,6,3,7,5,2,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[3,2,8,7,4,5,6,1]=>[1,3,8,2,4,7,6,5]=>[1,8,3,2,6,7,4,5]=>[8,1,6,7,3,2,5,4]=>0000000
[6,3,5,4,8,1,2,7]=>[1,6,2,3,5,8,7,4]=>[1,6,2,7,3,5,8,4]=>[8,3,7,2,6,4,1,5]=>0000000
[6,2,5,4,1,7,8,3]=>[1,6,7,8,3,5,2,4]=>[1,5,8,2,3,6,7,4]=>[8,4,1,7,6,3,2,5]=>0000000
[8,1,5,4,6,7,3,2]=>[1,8,2,3,5,6,7,4]=>[1,8,2,7,3,5,6,4]=>[8,1,7,2,6,4,3,5]=>0000000
[2,8,5,1,3,7,6,4]=>[1,2,8,4,3,5,6,7]=>[1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>0000000
[2,4,5,8,3,7,6,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>0000000
[1,3,8,7,2,5,6,4]=>[1,2,3,8,4,7,6,5]=>[1,2,3,8,6,7,4,5]=>[8,7,6,1,3,2,5,4]=>0000000
[1,4,8,3,2,7,6,5]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[8,7,3,2,1,4,6,5]=>[1,8,5,2,7,6,4,3]=>[1,5,4,8,6,7,3,2]=>[8,4,5,1,3,2,6,7]=>0000000
[1,4,8,5,2,3,7,6]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>[8,7,4,5,6,1,3,2]=>0000000
[6,1,4,2,8,7,3,5]=>[1,6,7,3,4,2,5,8]=>[1,4,7,3,2,6,5,8]=>[8,5,2,6,7,3,4,1]=>0000000
[6,8,4,3,2,7,5,1]=>[1,6,7,5,2,8,3,4]=>[1,5,7,2,8,6,3,4]=>[8,4,2,7,1,3,6,5]=>0000000
[2,1,4,7,5,8,6,3]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>0000000
[2,5,1,8,7,3,4,6]=>[1,2,5,7,4,8,6,3]=>[1,2,6,8,5,7,3,4]=>[8,7,3,1,4,2,6,5]=>0000000
[6,8,1,7,5,4,2,3]=>[1,6,4,7,2,8,3,5]=>[1,7,8,6,3,4,2,5]=>[8,2,1,3,6,5,7,4]=>0000000
[4,8,2,7,5,3,6,1]=>[1,4,7,6,3,2,8,5]=>[1,3,6,4,7,8,5,2]=>[8,6,3,5,2,1,4,7]=>0000000
[7,2,4,3,8,6,1,5]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>0000000
[2,3,1,6,8,7,4,5]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>0000000
[2,3,5,7,8,1,6,4]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>[8,7,6,1,4,2,5,3]=>0000000
[8,1,7,2,4,6,3,5]=>[1,8,5,4,2,3,7,6]=>[1,4,2,5,8,7,3,6]=>[8,5,7,4,1,2,6,3]=>0000000
[1,5,7,2,3,6,8,4]=>[1,2,5,3,7,8,4,6]=>[1,2,5,8,3,4,7,6]=>[8,7,4,1,6,5,2,3]=>0000000
[1,8,6,2,4,3,7,5]=>[1,2,8,5,4,3,6,7]=>[1,2,4,5,8,3,6,7]=>[8,7,5,4,1,6,3,2]=>0000000
[3,7,5,6,2,1,4,8]=>[1,3,5,2,7,4,6,8]=>[1,5,3,7,2,4,6,8]=>[8,4,6,2,7,5,3,1]=>0000000
[5,2,8,4,6,7,1,3]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>[8,2,7,1,4,3,6,5]=>0000000
[8,2,7,6,3,4,5,1]=>[1,8,2,3,7,5,4,6]=>[1,8,2,5,7,4,3,6]=>[8,1,7,4,2,5,6,3]=>0000000
[1,8,3,7,4,2,5,6]=>[1,2,8,6,3,4,7,5]=>[1,2,6,3,8,7,5,4]=>[8,7,3,6,1,2,4,5]=>0000000
[7,8,1,2,4,6,3,5]=>[1,7,3,2,8,5,4,6]=>[1,3,7,5,8,4,2,6]=>[8,6,2,4,1,5,7,3]=>0000000
[1,7,2,6,3,4,8,5]=>[1,2,7,8,5,3,4,6]=>[1,2,5,3,8,4,7,6]=>[8,7,4,6,1,5,2,3]=>0000000
[2,1,3,8,4,7,6,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[1,2,8,7,5,4,6,3]=>[1,2,3,8,4,7,6,5]=>[1,2,3,8,6,7,4,5]=>[8,7,6,1,3,2,5,4]=>0000000
[4,8,3,1,6,7,2,5]=>[1,4,2,8,5,6,7,3]=>[1,4,7,2,8,5,6,3]=>[8,5,2,7,1,4,3,6]=>0000000
[7,2,4,6,3,8,5,1]=>[1,7,5,3,4,6,8,2]=>[1,8,5,3,7,4,6,2]=>[8,1,4,6,2,5,3,7]=>0000000
[3,8,4,7,2,1,6,5]=>[1,3,4,7,6,2,8,5]=>[1,6,3,4,7,8,5,2]=>[8,3,6,5,2,1,4,7]=>0000000
[1,8,7,4,5,2,3,6]=>[1,2,8,6,3,7,4,5]=>[1,2,6,8,3,7,4,5]=>[8,7,3,1,6,2,5,4]=>0000000
[6,8,2,1,3,4,7,5]=>[1,6,4,2,8,5,3,7]=>[1,4,6,5,8,3,2,7]=>[8,5,3,4,1,6,7,2]=>0000000
[5,2,8,1,3,6,7,4]=>[1,5,3,8,4,2,6,7]=>[1,4,8,5,2,3,6,7]=>[8,5,1,4,7,6,3,2]=>0000000
[6,3,7,2,5,4,8,1]=>[1,6,4,2,3,7,8,5]=>[1,4,2,6,8,3,7,5]=>[8,5,7,3,1,6,2,4]=>0000000
[6,2,1,8,7,3,5,4]=>[1,6,3,2,4,8,5,7]=>[1,3,6,2,8,4,5,7]=>[8,6,3,7,1,5,4,2]=>0000000
[4,2,8,3,6,7,5,1]=>[1,4,3,8,2,5,6,7]=>[1,8,4,3,2,5,6,7]=>[8,1,5,6,7,4,3,2]=>0000000
[6,1,8,4,3,5,2,7]=>[1,6,5,3,8,7,2,4]=>[1,7,5,2,6,3,8,4]=>[8,2,4,7,3,6,1,5]=>0000000
[2,8,4,1,5,3,6,7]=>[1,2,8,7,6,3,4,5]=>[1,2,6,3,4,7,8,5]=>[8,7,3,6,5,2,1,4]=>0000000
[5,6,8,7,1,3,2,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[8,4,3,1,7,6,5,2]=>0000000
[7,5,8,3,4,2,1,6]=>[1,7,2,5,4,3,8,6]=>[1,7,4,5,2,8,3,6]=>[8,2,5,4,7,1,6,3]=>0000000
[4,1,8,2,6,5,7,3]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[1,8,4,5,6,7,2,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[4,2,8,6,7,1,3,5]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[8,3,7,5,1,6,4,2]=>0000000
[7,2,6,5,8,3,4,1]=>[1,7,4,5,8,2,3,6]=>[1,8,2,7,4,3,5,6]=>[8,1,7,2,5,6,4,3]=>0000000
[8,1,2,4,3,5,7,6]=>[1,8,6,5,3,2,4,7]=>[1,3,5,2,6,8,4,7]=>[8,6,4,7,3,1,5,2]=>0000000
[3,1,7,4,8,6,5,2]=>[1,3,7,5,8,2,4,6]=>[1,8,3,2,7,4,5,6]=>[8,1,6,7,2,5,4,3]=>0000000
[7,6,2,8,1,4,5,3]=>[1,7,5,2,6,4,8,3]=>[1,5,7,8,6,3,2,4]=>[8,4,2,1,3,6,7,5]=>0000000
[8,4,2,3,1,5,7,6]=>[1,8,6,5,2,4,3,7]=>[1,5,4,2,6,8,3,7]=>[8,4,5,7,3,1,6,2]=>0000000
[2,7,8,1,4,3,6,5]=>[1,2,7,6,3,8,5,4]=>[1,2,6,5,7,8,4,3]=>[8,7,3,4,2,1,5,6]=>0000000
[5,3,4,8,1,7,2,6]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[5,3,8,1,4,7,6,2]=>[1,5,4,2,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>[8,5,7,4,6,1,3,2]=>0000000
[4,3,5,8,1,7,6,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>0000000
[3,6,5,4,8,1,2,7]=>[1,3,5,8,7,2,6,4]=>[1,7,3,6,5,2,8,4]=>[8,2,6,3,4,7,1,5]=>0000000
[3,5,2,4,8,7,6,1]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[8,6,7,1,4,5,3,2]=>0000000
[2,3,6,5,8,4,1,7]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>0000000
[5,2,3,8,7,4,1,6]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[8,2,7,6,4,1,5,3]=>0000000
[2,3,1,7,4,8,6,5]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>0000000
[2,4,6,5,7,1,8,3]=>[1,2,4,5,7,8,3,6]=>[1,2,8,4,5,3,7,6]=>[8,7,1,5,4,6,2,3]=>0000000
[1,7,4,5,8,3,6,2]=>[1,2,7,6,3,4,5,8]=>[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>0000000
[2,6,4,5,7,3,1,8]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[7,5,8,1,4,2,3,6]=>[1,7,3,8,6,2,5,4]=>[1,6,8,5,3,7,2,4]=>[8,3,1,4,6,2,7,5]=>0000000
[1,3,4,8,5,6,2,7]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>0000000
[7,4,6,8,3,1,2,5]=>[1,7,2,4,8,5,3,6]=>[1,7,5,2,8,3,4,6]=>[8,2,4,7,1,6,5,3]=>0000000
[2,5,6,4,8,1,3,7]=>[1,2,5,8,7,3,6,4]=>[1,2,7,6,5,3,8,4]=>[8,7,2,3,4,6,1,5]=>0000000
[4,3,7,1,2,6,8,5]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[8,5,7,6,1,4,2,3]=>0000000
[2,1,4,7,3,6,8,5]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>0000000
[8,5,3,4,2,7,1,6]=>[1,8,6,7,2,5,3,4]=>[1,7,5,3,2,8,6,4]=>[8,2,4,6,7,1,3,5]=>0000000
[8,4,3,7,2,5,6,1]=>[1,8,2,4,7,6,5,3]=>[1,8,5,2,6,7,4,3]=>[8,1,4,7,3,2,5,6]=>0000000
[8,3,1,7,4,5,2,6]=>[1,8,6,5,4,7,2,3]=>[1,7,2,5,6,8,4,3]=>[8,2,7,4,3,1,5,6]=>0000000
[8,4,3,7,1,5,6,2]=>[1,8,2,4,7,6,5,3]=>[1,8,5,2,6,7,4,3]=>[8,1,4,7,3,2,5,6]=>0000000
[8,3,4,7,2,6,5,1]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[8,1,3,7,6,4,5,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[8,3,7,1,4,5,6,2]=>[1,8,2,3,7,6,5,4]=>[1,8,2,5,6,7,3,4]=>[8,1,7,4,3,2,6,5]=>0000000
[8,3,7,6,2,4,5,1]=>[1,8,2,3,7,5,4,6]=>[1,8,2,5,7,4,3,6]=>[8,1,7,4,2,5,6,3]=>0000000
[6,2,8,5,1,7,3,4]=>[1,6,7,3,8,4,5,2]=>[1,5,7,8,4,6,3,2]=>[8,4,2,1,5,3,6,7]=>0000000
[8,4,1,7,5,6,2,3]=>[1,8,3,2,4,7,5,6]=>[1,3,8,2,7,5,4,6]=>[8,6,1,7,2,4,5,3]=>0000000
[8,2,7,6,4,5,1,3]=>[1,8,3,7,2,4,6,5]=>[1,7,8,2,6,4,3,5]=>[8,2,1,7,3,5,6,4]=>0000000
[8,4,7,2,3,6,5,1]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>[8,1,5,7,2,4,6,3]=>0000000
[8,2,4,7,3,6,5,1]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[8,1,7,6,4,5,2,3]=>[1,8,3,7,2,4,6,5]=>[1,7,8,2,6,4,3,5]=>[8,2,1,7,3,5,6,4]=>0000000
[8,1,2,7,6,4,5,3]=>[1,8,3,2,4,7,5,6]=>[1,3,8,2,7,5,4,6]=>[8,6,1,7,2,4,5,3]=>0000000
[8,1,4,7,3,6,5,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>0000000
[1,6,3,5,2,8,4,7]=>[1,2,6,8,7,4,5,3]=>[1,2,5,7,4,6,8,3]=>[8,7,4,2,5,3,1,6]=>0000000
[6,4,5,8,3,1,7,2]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>0000000
[6,4,5,8,2,1,7,3]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>0000000
[5,3,8,2,6,7,1,4]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>[8,2,7,1,4,3,6,5]=>0000000
[6,3,5,2,8,1,7,4]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>[8,3,7,1,6,4,5,2]=>0000000
[1,3,5,4,8,2,6,7]=>[1,2,3,5,8,7,6,4]=>[1,2,3,6,5,7,8,4]=>[8,7,6,3,4,2,1,5]=>0000000
[3,5,4,8,2,6,1,7]=>[1,3,4,8,7,2,5,6]=>[1,7,3,4,2,5,8,6]=>[8,2,6,5,7,4,1,3]=>0000000
[3,5,4,8,1,6,2,7]=>[1,3,4,8,7,2,5,6]=>[1,7,3,4,2,5,8,6]=>[8,2,6,5,7,4,1,3]=>0000000
[3,4,8,5,6,1,2,7]=>[1,3,8,7,2,4,5,6]=>[1,7,3,2,4,5,8,6]=>[8,2,6,7,5,4,1,3]=>0000000
[3,4,8,5,6,2,1,7]=>[1,3,8,7,2,4,5,6]=>[1,7,3,2,4,5,8,6]=>[8,2,6,7,5,4,1,3]=>0000000
[3,4,8,5,6,2,7,1]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>0000000
[3,8,6,4,5,2,7,1]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[8,3,6,1,5,7,4,2]=>0000000
[4,5,8,6,2,3,7,1]=>[1,4,6,3,8,2,5,7]=>[1,8,6,4,2,3,5,7]=>[8,1,3,5,7,6,4,2]=>0000000
[4,6,8,5,3,7,2,1]=>[1,4,5,3,8,2,6,7]=>[1,8,5,4,3,2,6,7]=>[8,1,4,5,6,7,3,2]=>0000000
[4,5,7,2,8,6,3,1]=>[1,4,2,5,8,3,7,6]=>[1,4,8,2,5,7,3,6]=>[8,5,1,7,4,2,6,3]=>0000000
[3,7,4,5,1,6,8,2]=>[1,3,4,5,2,7,8,6]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>0000000
[3,8,6,2,7,4,5,1]=>[1,3,6,4,2,8,5,7]=>[1,4,3,6,8,2,5,7]=>[8,5,6,3,1,7,4,2]=>0000000
[3,5,1,7,8,4,6,2]=>[1,3,2,5,8,4,7,6]=>[1,3,2,8,5,7,4,6]=>[8,6,7,1,4,2,5,3]=>0000000
[4,3,1,8,5,7,2,6]=>[1,4,8,6,7,2,3,5]=>[1,7,2,4,3,8,6,5]=>[8,2,7,5,6,1,3,4]=>0000000
[8,3,2,4,5,7,1,6]=>[1,8,6,7,2,3,4,5]=>[1,7,2,3,4,8,6,5]=>[8,2,7,6,5,1,3,4]=>0000000
[8,3,6,2,4,1,7,5]=>[1,8,5,4,2,3,6,7]=>[1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>0000000
[5,3,2,8,7,6,4,1]=>[1,5,7,4,8,2,3,6]=>[1,8,2,7,5,3,4,6]=>[8,1,7,2,4,6,5,3]=>0000000
[4,3,7,5,8,2,1,6]=>[1,4,5,8,6,2,3,7]=>[1,6,2,4,5,8,3,7]=>[8,3,7,5,4,1,6,2]=>0000000
[7,3,5,2,8,1,4,6]=>[1,7,4,2,3,5,8,6]=>[1,4,2,7,3,8,5,6]=>[8,5,7,2,6,1,4,3]=>0000000
[1,5,8,7,4,2,3,6]=>[1,2,5,4,7,3,8,6]=>[1,2,7,5,4,8,3,6]=>[8,7,2,4,5,1,6,3]=>0000000
[1,6,2,7,5,3,4,8]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>0000000
[1,5,8,6,2,7,4,3]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[2,1,3,8,6,7,4,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[5,4,7,8,1,6,3,2]=>[1,5,2,4,8,3,7,6]=>[1,5,8,2,4,7,3,6]=>[8,4,1,7,5,2,6,3]=>0000000
[3,2,7,6,8,4,5,1]=>[1,3,7,5,8,2,4,6]=>[1,8,3,2,7,4,5,6]=>[8,1,6,7,2,5,4,3]=>0000000
[4,3,8,6,7,2,5,1]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[8,3,7,5,1,6,4,2]=>0000000
[3,2,7,4,8,5,6,1]=>[1,3,7,6,5,8,2,4]=>[1,8,3,2,6,7,5,4]=>[8,1,6,7,3,2,4,5]=>0000000
[7,2,8,3,6,4,5,1]=>[1,7,5,6,4,3,8,2]=>[1,8,4,6,7,5,3,2]=>[8,1,5,3,2,4,6,7]=>0000000
[1,7,8,3,6,5,4,2]=>[1,2,7,4,3,8,5,6]=>[1,2,4,7,8,5,3,6]=>[8,7,5,2,1,4,6,3]=>0000000
[6,4,5,8,7,2,1,3]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>0000000
[6,5,1,3,7,8,4,2]=>[1,6,8,2,5,7,4,3]=>[1,8,4,7,2,6,5,3]=>[8,1,5,2,7,3,4,6]=>0000000
[3,1,6,7,8,4,5,2]=>[1,3,6,4,7,5,8,2]=>[1,8,3,6,7,4,5,2]=>[8,1,6,3,2,5,4,7]=>0000000
[3,7,5,6,1,8,4,2]=>[1,3,5,2,7,4,6,8]=>[1,5,3,7,2,4,6,8]=>[8,4,6,2,7,5,3,1]=>0000000
[1,2,6,8,4,3,5,7]=>[1,2,3,6,4,8,7,5]=>[1,2,3,6,7,4,8,5]=>[8,7,6,3,2,5,1,4]=>0000000
[3,1,8,6,4,7,2,5]=>[1,3,8,5,4,6,7,2]=>[1,7,3,5,8,4,6,2]=>[8,2,6,4,1,5,3,7]=>0000000
[8,1,3,5,6,4,7,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>0000000
[2,3,7,5,8,4,6,1]=>[1,2,3,7,6,4,5,8]=>[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>0000000
[2,5,7,4,6,1,3,8]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>[8,7,3,2,4,6,5,1]=>0000000
[8,5,2,3,1,6,7,4]=>[1,8,4,3,2,5,6,7]=>[1,3,4,8,2,5,6,7]=>[8,6,5,1,7,4,3,2]=>0000000
[8,3,5,2,1,6,7,4]=>[1,8,4,2,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>0000000
[8,3,5,1,4,6,7,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>[8,1,7,4,6,5,3,2]=>0000000
[8,5,1,3,4,6,7,2]=>[1,8,2,5,4,3,6,7]=>[1,8,4,5,2,3,6,7]=>[8,1,5,4,7,6,3,2]=>0000000
[3,8,6,2,5,4,7,1]=>[1,3,6,4,2,8,5,7]=>[1,4,3,6,8,2,5,7]=>[8,5,6,3,1,7,4,2]=>0000000
[2,8,6,4,7,3,1,5]=>[1,2,8,5,7,3,6,4]=>[1,2,7,6,8,3,5,4]=>[8,7,2,3,1,6,4,5]=>0000000
[8,3,5,4,2,7,1,6]=>[1,8,6,7,2,3,5,4]=>[1,7,2,5,3,8,6,4]=>[8,2,7,4,6,1,3,5]=>0000000
[8,3,2,5,1,4,7,6]=>[1,8,6,4,5,2,3,7]=>[1,5,2,6,4,8,3,7]=>[8,4,7,3,5,1,6,2]=>0000000
[8,1,5,2,4,6,7,3]=>[1,8,3,5,4,2,6,7]=>[1,4,5,8,2,3,6,7]=>[8,5,4,1,7,6,3,2]=>0000000
[8,3,1,5,2,6,7,4]=>[1,8,4,5,2,3,6,7]=>[1,5,2,8,4,3,6,7]=>[8,4,7,1,5,6,3,2]=>0000000
[5,2,6,4,1,3,8,7]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>0000000
[2,1,8,5,4,3,7,6]=>[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>0000000
[1,7,6,2,8,5,3,4]=>[1,2,7,3,6,5,8,4]=>[1,2,7,8,6,3,5,4]=>[8,7,2,1,3,6,4,5]=>0000000
[8,5,6,2,4,3,7,1]=>[1,8,2,5,4,3,6,7]=>[1,8,4,5,2,3,6,7]=>[8,1,5,4,7,6,3,2]=>0000000
[8,5,4,2,6,3,7,1]=>[1,8,2,5,6,3,4,7]=>[1,8,6,3,2,5,4,7]=>[8,1,3,6,7,4,5,2]=>0000000
[7,3,6,5,8,2,4,1]=>[1,7,4,5,8,2,3,6]=>[1,8,2,7,4,3,5,6]=>[8,1,7,2,5,6,4,3]=>0000000
[7,3,5,4,8,2,6,1]=>[1,7,6,2,3,5,8,4]=>[1,6,2,7,4,8,5,3]=>[8,3,7,2,5,1,4,6]=>0000000
[1,2,7,4,8,5,6,3]=>[1,2,3,7,6,5,8,4]=>[1,2,3,8,6,7,5,4]=>[8,7,6,1,3,2,4,5]=>0000000
[2,6,7,1,8,4,5,3]=>[1,2,6,4,3,7,5,8]=>[1,2,4,6,7,3,5,8]=>[8,7,5,3,2,6,4,1]=>0000000
[3,6,5,8,2,7,4,1]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>0000000
[3,6,5,8,1,7,4,2]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>0000000
[8,2,5,4,1,3,7,6]=>[1,8,6,3,5,2,4,7]=>[1,5,6,2,3,8,4,7]=>[8,4,3,7,6,1,5,2]=>0000000
[2,4,7,8,3,6,5,1]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[8,7,1,5,2,4,6,3]=>0000000
[6,8,1,3,2,5,7,4]=>[1,6,5,2,8,4,3,7]=>[1,5,4,6,8,3,2,7]=>[8,4,5,3,1,6,7,2]=>0000000
[8,6,2,7,3,4,5,1]=>[1,8,2,6,4,7,5,3]=>[1,8,5,7,6,2,3,4]=>[8,1,4,2,3,7,6,5]=>0000000
[6,8,5,3,1,7,2,4]=>[1,6,7,2,8,4,3,5]=>[1,7,4,8,3,6,2,5]=>[8,2,5,1,6,3,7,4]=>0000000
[8,6,1,7,3,4,5,2]=>[1,8,2,6,4,7,5,3]=>[1,8,5,7,6,2,3,4]=>[8,1,4,2,3,7,6,5]=>0000000
[2,6,8,4,7,5,1,3]=>[1,2,6,5,7,3,8,4]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>0000000
[4,5,7,2,6,8,1,3]=>[1,4,2,5,6,8,3,7]=>[1,4,8,2,5,6,3,7]=>[8,5,1,7,4,3,6,2]=>0000000
[2,7,1,4,8,3,6,5]=>[1,2,7,6,3,4,5,8]=>[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>0000000
[5,6,8,4,7,2,3,1]=>[1,5,7,3,8,2,6,4]=>[1,8,7,6,5,2,3,4]=>[8,1,2,3,4,7,6,5]=>0000000
[5,3,7,4,6,2,8,1]=>[1,5,6,2,3,7,8,4]=>[1,6,2,8,5,3,7,4]=>[8,3,7,1,4,6,2,5]=>0000000
[5,4,6,2,8,3,7,1]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>[8,1,5,7,4,6,3,2]=>0000000
[5,2,6,4,8,7,3,1]=>[1,5,8,2,3,6,7,4]=>[1,8,2,7,5,3,6,4]=>[8,1,7,2,4,6,3,5]=>0000000
[2,4,7,8,6,5,1,3]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[8,7,1,5,2,4,6,3]=>0000000
[2,5,7,8,6,1,4,3]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>[8,7,3,2,4,6,5,1]=>0000000
[1,3,6,4,8,2,7,5]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>0000000
[8,4,6,7,3,5,2,1]=>[1,8,2,4,7,3,6,5]=>[1,8,7,2,6,3,4,5]=>[8,1,2,7,3,6,5,4]=>0000000
[7,4,5,3,1,8,6,2]=>[1,7,6,8,2,4,3,5]=>[1,8,4,2,3,7,6,5]=>[8,1,5,7,6,2,3,4]=>0000000
[6,7,4,1,8,2,5,3]=>[1,6,2,7,5,8,3,4]=>[1,6,8,3,7,2,5,4]=>[8,3,1,6,2,7,4,5]=>0000000
[7,5,4,2,1,8,6,3]=>[1,7,6,8,3,4,2,5]=>[1,4,8,3,2,7,6,5]=>[8,5,1,6,7,2,3,4]=>0000000
[1,7,6,2,3,5,8,4]=>[1,2,7,8,4,3,6,5]=>[1,2,4,8,6,3,7,5]=>[8,7,5,1,3,6,2,4]=>0000000
[7,2,4,5,6,8,1,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[8,1,6,5,2,7,4,3]=>[1,8,3,6,7,4,5,2]=>[1,5,8,7,4,3,6,2]=>[8,4,1,2,5,6,3,7]=>0000000
[3,5,7,2,8,4,1,6]=>[1,3,7,2,5,8,6,4]=>[1,7,3,6,2,8,5,4]=>[8,2,6,3,7,1,4,5]=>0000000
[7,3,2,1,4,8,6,5]=>[1,7,6,8,5,4,2,3]=>[1,4,2,5,8,7,6,3]=>[8,5,7,4,1,2,3,6]=>0000000
[8,3,7,2,6,5,1,4]=>[1,8,4,2,3,7,5,6]=>[1,4,2,8,7,5,3,6]=>[8,5,7,1,2,4,6,3]=>0000000
[5,3,8,1,4,2,6,7]=>[1,5,4,2,3,8,7,6]=>[1,4,2,5,3,7,8,6]=>[8,5,7,4,6,2,1,3]=>0000000
[5,8,4,1,2,3,6,7]=>[1,5,2,8,7,6,3,4]=>[1,5,6,3,2,7,8,4]=>[8,4,3,6,7,2,1,5]=>0000000
[8,6,4,1,2,3,7,5]=>[1,8,5,2,6,3,4,7]=>[1,5,8,2,6,3,4,7]=>[8,4,1,7,3,6,5,2]=>0000000
[6,3,8,4,1,7,2,5]=>[1,6,7,2,3,8,5,4]=>[1,7,2,5,8,6,3,4]=>[8,2,7,4,1,3,6,5]=>0000000
[7,6,1,4,2,3,8,5]=>[1,7,8,5,2,6,3,4]=>[1,5,8,2,6,3,7,4]=>[8,4,1,7,3,6,2,5]=>0000000
[7,8,1,2,5,3,4,6]=>[1,7,4,2,8,6,3,5]=>[1,4,7,6,2,8,3,5]=>[8,5,2,3,7,1,6,4]=>0000000
[1,8,7,5,2,3,4,6]=>[1,2,8,6,3,7,4,5]=>[1,2,6,8,3,7,4,5]=>[8,7,3,1,6,2,5,4]=>0000000
[1,8,4,7,5,2,3,6]=>[1,2,8,6,3,4,7,5]=>[1,2,6,3,8,7,5,4]=>[8,7,3,6,1,2,4,5]=>0000000
[7,3,4,1,8,6,2,5]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>0000000
[1,3,8,5,6,7,2,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>0000000
[5,2,3,7,1,8,4,6]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>0000000
[1,3,6,7,5,2,4,8]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>0000000
[1,5,2,6,8,7,3,4]=>[1,2,5,8,4,6,7,3]=>[1,2,7,8,5,4,6,3]=>[8,7,2,1,4,5,3,6]=>0000000
[1,5,7,4,8,6,2,3]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[8,7,1,2,4,5,6,3]=>0000000
[3,5,1,7,8,6,2,4]=>[1,3,2,5,8,4,7,6]=>[1,3,2,8,5,7,4,6]=>[8,6,7,1,4,2,5,3]=>0000000
[1,8,6,7,4,2,3,5]=>[1,2,8,5,4,7,3,6]=>[1,2,7,5,8,3,4,6]=>[8,7,2,4,1,6,5,3]=>0000000
[2,4,6,5,8,3,1,7]=>[1,2,4,5,8,7,3,6]=>[1,2,7,4,5,3,8,6]=>[8,7,2,5,4,6,1,3]=>0000000
[2,4,6,3,8,7,1,5]=>[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>0000000
[5,7,8,1,6,2,3,4]=>[1,5,6,2,7,3,8,4]=>[1,6,7,8,5,2,3,4]=>[8,3,2,1,4,7,6,5]=>0000000
[1,6,3,8,2,7,4,5]=>[1,2,6,7,4,8,5,3]=>[1,2,5,8,7,6,3,4]=>[8,7,4,1,2,3,6,5]=>0000000
[1,6,4,2,7,3,8,5]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[1,4,2,5,8,6,3,7]=>[1,2,4,5,8,7,3,6]=>[1,2,7,4,5,3,8,6]=>[8,7,2,5,4,6,1,3]=>0000000
[4,8,2,1,5,7,3,6]=>[1,4,2,8,6,7,3,5]=>[1,4,7,2,3,8,6,5]=>[8,5,2,7,6,1,3,4]=>0000000
[1,7,8,6,3,4,2,5]=>[1,2,7,3,8,5,4,6]=>[1,2,7,5,8,4,3,6]=>[8,7,2,4,1,5,6,3]=>0000000
[6,4,1,8,2,7,5,3]=>[1,6,7,5,2,4,8,3]=>[1,5,7,3,8,6,4,2]=>[8,4,2,6,1,3,5,7]=>0000000
[1,5,6,8,4,2,7,3]=>[1,2,5,4,8,3,6,7]=>[1,2,8,5,4,3,6,7]=>[8,7,1,4,5,6,3,2]=>0000000
[7,3,2,1,4,6,8,5]=>[1,7,8,5,4,2,3,6]=>[1,4,2,5,8,3,7,6]=>[8,5,7,4,1,6,2,3]=>0000000
[3,1,7,4,2,6,8,5]=>[1,3,7,8,5,2,4,6]=>[1,5,3,2,8,4,7,6]=>[8,4,6,7,1,5,2,3]=>0000000
[3,6,5,4,1,7,2,8]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>0000000
[1,6,8,7,3,4,2,5]=>[1,2,6,4,7,3,8,5]=>[1,2,7,6,8,4,3,5]=>[8,7,2,3,1,5,6,4]=>0000000
[5,1,4,7,8,3,6,2]=>[1,5,8,2,3,4,7,6]=>[1,8,2,3,5,7,4,6]=>[8,1,7,6,4,2,5,3]=>0000000
[4,6,1,7,3,2,8,5]=>[1,4,7,8,5,3,2,6]=>[1,3,5,4,8,2,7,6]=>[8,6,4,5,1,7,2,3]=>0000000
[3,8,4,1,7,5,2,6]=>[1,3,4,2,8,6,5,7]=>[1,4,3,2,6,8,5,7]=>[8,5,6,7,3,1,4,2]=>0000000
[6,7,1,5,2,8,4,3]=>[1,6,8,3,2,7,4,5]=>[1,3,8,7,4,6,2,5]=>[8,6,1,2,5,3,7,4]=>0000000
[2,6,3,7,5,8,4,1]=>[1,2,6,8,3,4,7,5]=>[1,2,8,3,7,6,4,5]=>[8,7,1,6,2,3,5,4]=>0000000
[4,3,7,8,2,1,6,5]=>[1,4,8,5,2,3,7,6]=>[1,5,2,4,8,7,3,6]=>[8,4,7,5,1,2,6,3]=>0000000
[7,3,8,2,5,1,6,4]=>[1,7,6,2,3,8,4,5]=>[1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>0000000
[7,8,4,6,1,3,5,2]=>[1,7,5,2,8,3,4,6]=>[1,5,7,2,8,4,3,6]=>[8,4,2,7,1,5,6,3]=>0000000
[5,1,8,2,4,6,3,7]=>[1,5,4,2,3,8,7,6]=>[1,4,2,5,3,7,8,6]=>[8,5,7,4,6,2,1,3]=>0000000
[5,8,3,2,7,4,6,1]=>[1,5,7,6,4,2,8,3]=>[1,4,6,7,5,8,2,3]=>[8,5,3,2,4,1,7,6]=>0000000
[4,1,3,7,5,6,2,8]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>0000000
[3,2,6,1,5,8,7,4]=>[1,3,6,8,4,2,5,7]=>[1,4,3,8,2,6,5,7]=>[8,5,6,1,7,3,4,2]=>0000000
[4,8,7,3,1,2,6,5]=>[1,4,3,7,6,2,8,5]=>[1,6,4,3,7,8,5,2]=>[8,3,5,6,2,1,4,7]=>0000000
[3,8,6,4,5,1,7,2]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[8,3,6,1,5,7,4,2]=>0000000
[4,6,3,5,7,1,8,2]=>[1,4,5,7,8,2,6,3]=>[1,8,6,4,5,2,7,3]=>[8,1,3,5,4,7,2,6]=>0000000
[4,7,3,5,6,1,2,8]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>0000000
[1,4,7,2,6,5,8,3]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,5,7,6]=>[8,7,5,6,1,4,2,3]=>0000000
[1,6,7,8,3,2,4,5]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>0000000
[1,2,7,8,3,4,6,5]=>[1,2,3,7,6,4,8,5]=>[1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>0000000
[4,2,8,1,6,5,7,3]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[1,4,6,3,2,5,8,7]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[4,2,5,7,1,6,8,3]=>[1,4,7,8,3,5,2,6]=>[1,5,8,4,3,2,7,6]=>[8,4,1,5,6,7,2,3]=>0000000
[4,5,3,7,1,6,8,2]=>[1,4,7,8,2,5,3,6]=>[1,8,5,4,2,3,7,6]=>[8,1,4,5,7,6,2,3]=>0000000
[6,8,4,1,5,7,3,2]=>[1,6,7,3,4,2,8,5]=>[1,4,7,3,8,6,2,5]=>[8,5,2,6,1,3,7,4]=>0000000
[5,8,2,6,3,1,7,4]=>[1,5,3,2,8,4,6,7]=>[1,3,5,8,2,4,6,7]=>[8,6,4,1,7,5,3,2]=>0000000
[4,8,1,3,6,2,7,5]=>[1,4,3,2,8,5,6,7]=>[1,3,4,2,8,5,6,7]=>[8,6,5,7,1,4,3,2]=>0000000
[5,2,6,8,1,4,3,7]=>[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>[8,4,7,3,6,5,1,2]=>0000000
[6,2,7,8,3,1,4,5]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>0000000
[6,1,3,7,2,8,5,4]=>[1,6,8,4,7,5,2,3]=>[1,5,2,7,8,6,3,4]=>[8,4,7,2,1,3,6,5]=>0000000
[5,4,3,6,1,7,8,2]=>[1,5,2,4,6,7,8,3]=>[1,5,8,2,4,6,7,3]=>[8,4,1,7,5,3,2,6]=>0000000
[1,2,4,6,5,8,3,7]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>0000000
[3,6,7,8,4,1,5,2]=>[1,3,7,5,4,8,2,6]=>[1,8,3,5,7,2,4,6]=>[8,1,6,4,2,7,5,3]=>0000000
[2,4,8,3,6,7,1,5]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>0000000
[2,4,8,6,5,7,1,3]=>[1,2,4,6,7,3,8,5]=>[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>0000000
[1,6,5,8,7,3,2,4]=>[1,2,6,3,5,7,4,8]=>[1,2,6,7,3,5,4,8]=>[8,7,3,2,6,4,5,1]=>0000000
[1,7,6,2,3,8,5,4]=>[1,2,7,5,3,6,8,4]=>[1,2,5,7,8,4,6,3]=>[8,7,4,2,1,5,3,6]=>0000000
[1,8,5,3,2,7,4,6]=>[1,2,8,6,7,4,3,5]=>[1,2,4,7,3,8,6,5]=>[8,7,5,2,6,1,3,4]=>0000000
[8,5,1,3,7,6,4,2]=>[1,8,2,5,7,4,3,6]=>[1,8,4,7,2,3,5,6]=>[8,1,5,2,7,6,4,3]=>0000000
[1,6,4,7,3,8,5,2]=>[1,2,6,8,3,4,7,5]=>[1,2,8,3,7,6,4,5]=>[8,7,1,6,2,3,5,4]=>0000000
[5,3,8,2,7,6,1,4]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[8,2,7,1,4,5,6,3]=>0000000
[5,8,7,2,6,4,3,1]=>[1,5,6,4,2,8,3,7]=>[1,4,6,8,5,3,2,7]=>[8,5,3,1,4,6,7,2]=>0000000
[1,8,6,4,7,3,2,5]=>[1,2,8,5,7,3,6,4]=>[1,2,7,6,8,3,5,4]=>[8,7,2,3,1,6,4,5]=>0000000
[8,6,7,2,3,5,4,1]=>[1,8,2,6,5,3,7,4]=>[1,8,5,6,7,2,4,3]=>[8,1,4,3,2,7,5,6]=>0000000
[7,2,6,8,5,1,3,4]=>[1,7,3,6,2,4,8,5]=>[1,6,7,2,8,3,4,5]=>[8,3,2,7,1,6,5,4]=>0000000
[4,8,5,2,7,3,1,6]=>[1,4,2,8,6,3,5,7]=>[1,4,6,2,3,8,5,7]=>[8,5,3,7,6,1,4,2]=>0000000
[7,4,3,1,5,8,6,2]=>[1,7,6,8,2,4,3,5]=>[1,8,4,2,3,7,6,5]=>[8,1,5,7,6,2,3,4]=>0000000
[1,5,7,2,4,3,8,6]=>[1,2,5,4,3,7,8,6]=>[1,2,4,5,3,8,7,6]=>[8,7,5,4,6,1,2,3]=>0000000
[5,1,3,8,2,7,4,6]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[8,1,7,2,3,6,5,4]=>[1,8,4,2,3,7,5,6]=>[1,4,2,8,7,5,3,6]=>[8,5,7,1,2,4,6,3]=>0000000
[1,7,2,5,8,4,3,6]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>0000000
[1,4,7,8,3,2,5,6]=>[1,2,4,8,6,3,7,5]=>[1,2,6,4,8,7,5,3]=>[8,7,3,5,1,2,4,6]=>0000000
[8,7,1,3,2,4,6,5]=>[1,8,5,2,7,6,4,3]=>[1,5,4,8,6,7,3,2]=>[8,4,5,1,3,2,6,7]=>0000000
[1,8,6,2,7,4,3,5]=>[1,2,8,5,7,3,6,4]=>[1,2,7,6,8,3,5,4]=>[8,7,2,3,1,6,4,5]=>0000000
[8,1,6,3,2,7,4,5]=>[1,8,5,2,3,6,7,4]=>[1,5,2,8,7,4,6,3]=>[8,4,7,1,2,5,3,6]=>0000000
[6,3,5,2,8,1,4,7]=>[1,6,2,3,5,8,7,4]=>[1,6,2,7,3,5,8,4]=>[8,3,7,2,6,4,1,5]=>0000000
[2,5,7,4,8,3,6,1]=>[1,2,5,8,3,7,6,4]=>[1,2,8,6,5,7,3,4]=>[8,7,1,3,4,2,6,5]=>0000000
[2,3,5,4,7,1,8,6]=>[1,2,3,5,7,8,6,4]=>[1,2,3,6,5,8,7,4]=>[8,7,6,3,4,1,2,5]=>0000000
[3,6,7,5,1,4,8,2]=>[1,3,7,8,2,6,4,5]=>[1,8,3,6,4,2,7,5]=>[8,1,6,3,5,7,2,4]=>0000000
[6,3,7,5,1,2,8,4]=>[1,6,2,3,7,8,4,5]=>[1,6,2,8,4,3,7,5]=>[8,3,7,1,5,6,2,4]=>0000000
[5,3,7,4,6,1,8,2]=>[1,5,6,2,3,7,8,4]=>[1,6,2,8,5,3,7,4]=>[8,3,7,1,4,6,2,5]=>0000000
[3,6,7,1,5,4,8,2]=>[1,3,7,8,2,6,4,5]=>[1,8,3,6,4,2,7,5]=>[8,1,6,3,5,7,2,4]=>0000000
[6,4,7,1,5,2,8,3]=>[1,6,2,4,3,7,8,5]=>[1,6,4,2,8,3,7,5]=>[8,3,5,7,1,6,2,4]=>0000000
[8,1,4,3,5,2,7,6]=>[1,8,6,2,3,4,5,7]=>[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>0000000
[4,5,1,7,2,8,6,3]=>[1,4,7,6,8,3,2,5]=>[1,3,8,4,2,7,6,5]=>[8,6,1,5,7,2,3,4]=>0000000
[7,1,4,3,6,8,2,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>0000000
[1,7,2,8,5,4,6,3]=>[1,2,7,6,4,8,3,5]=>[1,2,8,6,3,7,4,5]=>[8,7,1,3,6,2,5,4]=>0000000
[8,3,5,2,4,7,1,6]=>[1,8,6,7,2,3,5,4]=>[1,7,2,5,3,8,6,4]=>[8,2,7,4,6,1,3,5]=>0000000
[6,2,8,4,3,7,1,5]=>[1,6,7,2,3,8,5,4]=>[1,7,2,5,8,6,3,4]=>[8,2,7,4,1,3,6,5]=>0000000
[1,2,6,3,7,8,5,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>0000000
[2,6,4,7,5,3,1,8]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>0000000
[2,4,6,3,5,1,7,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000
[4,1,6,2,5,8,3,7]=>[1,4,2,3,6,8,7,5]=>[1,4,2,3,7,6,8,5]=>[8,5,7,6,2,3,1,4]=>0000000
[1,5,7,3,6,2,4,8]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>[8,7,3,2,4,6,5,1]=>0000000
[1,4,6,5,8,2,3,7]=>[1,2,4,5,8,7,3,6]=>[1,2,7,4,5,3,8,6]=>[8,7,2,5,4,6,1,3]=>0000000
[1,4,8,7,3,6,2,5]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]=>[8,7,2,5,1,4,6,3]=>0000000
[4,6,5,8,3,2,7,1]=>[1,4,8,2,6,3,5,7]=>[1,8,6,4,3,2,5,7]=>[8,1,3,5,6,7,4,2]=>0000000
[3,4,7,8,5,2,6,1]=>[1,3,7,6,2,4,8,5]=>[1,6,3,2,7,8,5,4]=>[8,3,6,7,2,1,4,5]=>0000000
[1,8,7,5,4,3,2,6]=>[1,2,8,6,3,7,4,5]=>[1,2,6,8,3,7,4,5]=>[8,7,3,1,6,2,5,4]=>0000000
[1,8,7,4,5,6,2,3]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>[8,7,1,2,5,4,6,3]=>0000000
[1,4,7,8,6,2,5,3]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>[8,7,1,5,2,4,6,3]=>0000000
[1,2,6,5,8,3,4,7]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>0000000
[1,5,6,4,8,3,2,7]=>[1,2,5,8,7,3,6,4]=>[1,2,7,6,5,3,8,4]=>[8,7,2,3,4,6,1,5]=>0000000
[5,2,6,4,8,7,1,3]=>[1,5,8,3,6,7,2,4]=>[1,7,8,2,5,3,6,4]=>[8,2,1,7,4,6,3,5]=>0000000
[4,3,7,1,5,8,6,2]=>[1,4,2,3,7,6,8,5]=>[1,4,2,3,8,7,6,5]=>[8,5,7,6,1,2,3,4]=>0000000
[8,2,4,5,3,1,7,6]=>[1,8,6,2,3,4,5,7]=>[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>0000000
[4,5,8,2,1,7,3,6]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[8,5,4,7,6,1,3,2]=>0000000
[1,8,3,5,2,6,4,7]=>[1,2,8,7,4,5,3,6]=>[1,2,5,7,4,3,8,6]=>[8,7,4,2,5,6,1,3]=>0000000
[1,8,4,5,6,2,7,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[2,5,8,4,6,3,7,1]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>[8,7,3,1,4,6,5,2]=>0000000
[5,2,1,6,3,8,7,4]=>[1,5,3,2,4,6,8,7]=>[1,3,5,2,4,6,8,7]=>[8,6,4,7,5,3,1,2]=>0000000
[7,2,8,1,5,3,4,6]=>[1,7,4,2,3,8,6,5]=>[1,4,2,7,6,8,3,5]=>[8,5,7,2,3,1,6,4]=>0000000
[4,2,8,1,3,7,5,6]=>[1,4,2,3,8,6,7,5]=>[1,4,2,3,7,8,6,5]=>[8,5,7,6,2,1,3,4]=>0000000
[7,1,8,2,3,6,4,5]=>[1,7,4,2,3,8,5,6]=>[1,4,2,7,8,5,3,6]=>[8,5,7,2,1,4,6,3]=>0000000
[4,6,2,7,5,8,1,3]=>[1,4,7,2,6,8,3,5]=>[1,7,8,4,3,2,6,5]=>[8,2,1,5,6,7,3,4]=>0000000
[8,2,7,5,4,1,6,3]=>[1,8,3,7,6,2,4,5]=>[1,6,7,3,4,8,2,5]=>[8,3,2,6,5,1,7,4]=>0000000
[8,6,1,2,7,3,5,4]=>[1,8,4,2,6,3,5,7]=>[1,4,8,6,2,3,5,7]=>[8,5,1,3,7,6,4,2]=>0000000
[4,3,7,1,2,8,5,6]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000
[5,3,8,6,2,4,7,1]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>0000000
[4,6,8,1,5,7,2,3]=>[1,4,2,6,7,3,8,5]=>[1,4,7,2,8,6,3,5]=>[8,5,2,7,1,3,6,4]=>0000000
[3,2,8,1,7,5,4,6]=>[1,3,8,6,5,7,4,2]=>[1,4,3,7,6,8,5,2]=>[8,5,6,2,3,1,4,7]=>0000000
[4,8,5,1,3,7,2,6]=>[1,4,2,8,6,7,3,5]=>[1,4,7,2,3,8,6,5]=>[8,5,2,7,6,1,3,4]=>0000000
[4,6,5,8,1,7,3,2]=>[1,4,8,2,6,7,3,5]=>[1,8,7,4,3,2,6,5]=>[8,1,2,5,6,7,3,4]=>0000000
[4,8,2,1,6,7,5,3]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>0000000
[4,5,1,6,8,7,2,3]=>[1,4,6,7,2,5,8,3]=>[1,7,8,4,2,6,5,3]=>[8,2,1,5,7,3,4,6]=>0000000
[8,4,6,7,5,1,3,2]=>[1,8,2,4,7,3,6,5]=>[1,8,7,2,6,3,4,5]=>[8,1,2,7,3,6,5,4]=>0000000
[8,7,4,2,3,6,5,1]=>[1,8,2,7,5,3,4,6]=>[1,8,5,3,7,4,2,6]=>[8,1,4,6,2,5,7,3]=>0000000
[8,6,4,7,5,1,3,2]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>[8,1,3,6,2,7,5,4]=>0000000
[5,3,6,4,1,2,8,7]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>0000000
[5,3,4,7,8,1,6,2]=>[1,5,8,2,3,4,7,6]=>[1,8,2,3,5,7,4,6]=>[8,1,7,6,4,2,5,3]=>0000000
[5,1,4,8,2,3,7,6]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>0000000
[4,7,1,8,5,3,6,2]=>[1,4,8,2,7,6,3,5]=>[1,8,6,4,3,7,2,5]=>[8,1,3,5,6,2,7,4]=>0000000
[2,3,7,8,5,4,6,1]=>[1,2,3,7,6,4,8,5]=>[1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>0000000
[6,7,8,2,1,5,3,4]=>[1,6,5,2,7,3,8,4]=>[1,5,6,7,8,3,4,2]=>[8,4,3,2,1,6,5,7]=>0000000
[5,2,1,6,4,7,3,8]=>[1,5,4,6,7,3,2,8]=>[1,3,7,5,4,6,2,8]=>[8,6,2,4,5,3,7,1]=>0000000
[4,2,7,1,5,8,3,6]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>0000000
[4,1,7,2,8,5,3,6]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[8,5,7,6,2,1,4,3]=>0000000
[7,1,4,3,6,5,8,2]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[8,1,7,6,5,4,2,3]=>0000000
[2,8,7,1,6,5,3,4]=>[1,2,8,4,3,7,5,6]=>[1,2,4,8,7,5,3,6]=>[8,7,5,1,2,4,6,3]=>0000000
[8,1,5,2,7,4,3,6]=>[1,8,6,4,2,3,5,7]=>[1,4,2,6,3,8,5,7]=>[8,5,7,3,6,1,4,2]=>0000000
[2,6,8,1,7,5,3,4]=>[1,2,6,5,7,3,8,4]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>0000000
[2,4,5,8,7,1,3,6]=>[1,2,4,8,6,3,5,7]=>[1,2,6,4,3,8,5,7]=>[8,7,3,5,6,1,4,2]=>0000000
[3,1,8,7,5,6,4,2]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>[8,1,6,7,2,4,5,3]=>0000000
[5,1,8,7,6,3,4,2]=>[1,5,6,3,8,2,4,7]=>[1,8,6,2,5,3,4,7]=>[8,1,3,7,4,6,5,2]=>0000000
[1,8,2,4,7,3,6,5]=>[1,2,8,5,7,6,3,4]=>[1,2,6,3,7,8,4,5]=>[8,7,3,6,2,1,5,4]=>0000000
[8,2,7,5,3,6,4,1]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>0000000
[8,7,2,3,1,5,6,4]=>[1,8,4,3,2,7,6,5]=>[1,3,4,8,6,7,2,5]=>[8,6,5,1,3,2,7,4]=>0000000
[1,2,8,6,7,5,4,3]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>0000000
[2,8,5,7,6,1,3,4]=>[1,2,8,4,7,3,5,6]=>[1,2,7,8,3,5,4,6]=>[8,7,2,1,6,4,5,3]=>0000000
[8,7,2,1,6,4,5,3]=>[1,8,3,2,7,5,6,4]=>[1,3,8,6,7,5,2,4]=>[8,6,1,3,2,4,7,5]=>0000000
[8,7,2,4,3,6,5,1]=>[1,8,2,7,5,3,4,6]=>[1,8,5,3,7,4,2,6]=>[8,1,4,6,2,5,7,3]=>0000000
[8,4,1,7,3,6,5,2]=>[1,8,2,4,7,5,3,6]=>[1,8,5,2,7,3,4,6]=>[8,1,4,7,2,6,5,3]=>0000000
[4,3,8,5,2,7,1,6]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[8,4,7,5,6,1,3,2]=>0000000
[5,7,4,1,2,6,8,3]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[8,4,1,6,7,5,2,3]=>0000000
[2,8,6,7,5,3,1,4]=>[1,2,8,4,7,3,6,5]=>[1,2,7,8,6,3,4,5]=>[8,7,2,1,3,6,5,4]=>0000000
[8,7,4,5,1,3,6,2]=>[1,8,2,7,6,3,4,5]=>[1,8,6,3,4,7,2,5]=>[8,1,3,6,5,2,7,4]=>0000000
[2,7,4,6,8,3,5,1]=>[1,2,7,5,8,3,4,6]=>[1,2,8,3,7,4,5,6]=>[8,7,1,6,2,5,4,3]=>0000000
[4,7,6,8,2,3,5,1]=>[1,4,8,2,7,5,3,6]=>[1,8,5,4,7,3,2,6]=>[8,1,4,5,2,6,7,3]=>0000000
[1,5,7,6,8,4,2,3]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>[8,7,1,2,4,5,6,3]=>0000000
[7,1,3,8,6,2,4,5]=>[1,7,4,8,5,6,2,3]=>[1,6,2,7,8,5,4,3]=>[8,3,7,2,1,4,5,6]=>0000000
[2,8,1,5,6,4,7,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>0000000
[8,2,1,5,6,4,7,3]=>[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>0000000
[6,4,3,7,1,8,2,5]=>[1,6,8,5,2,4,7,3]=>[1,5,8,3,7,6,4,2]=>[8,4,1,6,2,3,5,7]=>0000000
[5,6,1,3,2,4,7,8]=>[1,5,2,6,4,3,7,8]=>[1,5,4,6,2,3,7,8]=>[8,4,5,3,7,6,2,1]=>0000000
[6,1,5,4,2,7,8,3]=>[1,6,7,8,3,5,2,4]=>[1,5,8,2,3,6,7,4]=>[8,4,1,7,6,3,2,5]=>0000000
[4,6,1,5,2,7,8,3]=>[1,4,5,2,6,7,8,3]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>0000000
[5,1,8,6,2,7,4,3]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>0000000
[8,1,3,2,4,6,5,7]=>[1,8,7,5,4,2,3,6]=>[1,4,2,5,7,3,8,6]=>[8,5,7,4,2,6,1,3]=>0000000
[4,3,6,2,5,8,1,7]=>[1,4,2,3,6,8,7,5]=>[1,4,2,3,7,6,8,5]=>[8,5,7,6,2,3,1,4]=>0000000
[1,6,2,7,8,4,5,3]=>[1,2,6,4,7,5,8,3]=>[1,2,8,6,7,4,5,3]=>[8,7,1,3,2,5,4,6]=>0000000
[7,2,1,8,3,6,4,5]=>[1,7,4,8,5,3,2,6]=>[1,3,5,8,7,4,2,6]=>[8,6,4,1,2,5,7,3]=>0000000
[2,1,3,8,6,4,7,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[4,6,1,3,2,8,5,7]=>[1,4,3,2,6,8,7,5]=>[1,3,4,2,7,6,8,5]=>[8,6,5,7,2,3,1,4]=>0000000
[8,2,5,4,3,7,1,6]=>[1,8,6,7,2,3,5,4]=>[1,7,2,5,3,8,6,4]=>[8,2,7,4,6,1,3,5]=>0000000
[8,1,5,3,4,7,2,6]=>[1,8,6,7,2,3,5,4]=>[1,7,2,5,3,8,6,4]=>[8,2,7,4,6,1,3,5]=>0000000
[4,5,8,7,3,6,2,1]=>[1,4,7,2,5,3,8,6]=>[1,7,5,4,2,8,3,6]=>[8,2,4,5,7,1,6,3]=>0000000
[5,8,6,4,2,1,7,3]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[8,4,1,3,7,6,5,2]=>0000000
[5,3,8,6,1,2,7,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>0000000
[2,6,4,5,7,1,8,3]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>0000000
[5,7,6,3,1,2,8,4]=>[1,5,2,7,8,4,3,6]=>[1,5,4,8,2,3,7,6]=>[8,4,5,1,7,6,2,3]=>0000000
[1,2,4,8,5,7,3,6]=>[1,2,3,4,8,6,7,5]=>[1,2,3,4,7,8,6,5]=>[8,7,6,5,2,1,3,4]=>0000000
[1,7,8,4,2,6,3,5]=>[1,2,7,3,8,5,4,6]=>[1,2,7,5,8,4,3,6]=>[8,7,2,4,1,5,6,3]=>0000000
[7,5,6,1,4,3,8,2]=>[1,7,8,2,5,4,3,6]=>[1,8,4,5,2,3,7,6]=>[8,1,5,4,7,6,2,3]=>0000000
[5,7,4,2,1,6,3,8]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>0000000
[5,8,4,2,1,3,6,7]=>[1,5,2,8,7,6,3,4]=>[1,5,6,3,2,7,8,4]=>[8,4,3,6,7,2,1,5]=>0000000
[1,4,7,3,5,8,6,2]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>0000000
[8,6,1,4,3,7,2,5]=>[1,8,5,3,2,6,7,4]=>[1,3,5,8,7,4,6,2]=>[8,6,4,1,2,5,3,7]=>0000000
[8,1,3,5,6,4,2,7]=>[1,8,7,2,3,4,5,6]=>[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>0000000
[8,6,1,5,3,7,2,4]=>[1,8,4,5,3,2,6,7]=>[1,3,5,8,4,2,6,7]=>[8,6,4,1,5,7,3,2]=>0000000
[2,8,4,6,1,3,7,5]=>[1,2,8,5,3,4,6,7]=>[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>0000000
[5,1,8,6,7,2,3,4]=>[1,5,7,3,8,4,6,2]=>[1,6,7,8,5,4,3,2]=>[8,3,2,1,4,5,6,7]=>0000000
[6,8,4,2,1,7,3,5]=>[1,6,7,3,4,2,8,5]=>[1,4,7,3,8,6,2,5]=>[8,5,2,6,1,3,7,4]=>0000000
[6,3,2,8,1,7,4,5]=>[1,6,7,4,8,5,2,3]=>[1,5,2,8,7,6,3,4]=>[8,4,7,1,2,3,6,5]=>0000000
[7,3,6,1,4,2,8,5]=>[1,7,8,5,4,2,3,6]=>[1,4,2,5,8,3,7,6]=>[8,5,7,4,1,6,2,3]=>0000000
[4,5,1,7,8,6,2,3]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,3,5,6]=>[8,2,1,5,7,6,4,3]=>0000000
[8,4,1,2,5,7,3,6]=>[1,8,6,7,3,2,4,5]=>[1,3,7,2,4,8,6,5]=>[8,6,2,7,5,1,3,4]=>0000000
[4,7,3,1,5,2,8,6]=>[1,4,2,7,8,6,3,5]=>[1,4,6,2,3,8,7,5]=>[8,5,3,7,6,1,2,4]=>0000000
[8,4,7,1,5,2,6,3]=>[1,8,3,7,6,2,4,5]=>[1,6,7,3,4,8,2,5]=>[8,3,2,6,5,1,7,4]=>0000000
[8,2,5,3,7,6,4,1]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[8,1,7,2,6,5,4,3]=>0000000
[8,6,7,1,4,3,5,2]=>[1,8,2,6,3,7,5,4]=>[1,8,6,5,7,2,3,4]=>[8,1,3,4,2,7,6,5]=>0000000
[4,5,3,6,8,7,1,2]=>[1,4,6,7,2,5,8,3]=>[1,7,8,4,2,6,5,3]=>[8,2,1,5,7,3,4,6]=>0000000
[6,5,1,2,7,4,8,3]=>[1,6,4,2,5,7,8,3]=>[1,4,6,8,3,5,7,2]=>[8,5,3,1,6,4,2,7]=>0000000
[5,3,8,1,4,2,7,6]=>[1,5,4,2,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>[8,5,7,4,6,1,3,2]=>0000000
[3,1,8,4,2,7,6,5]=>[1,3,8,5,2,4,6,7]=>[1,5,3,2,8,4,6,7]=>[8,4,6,7,1,5,3,2]=>0000000
[8,2,3,1,7,6,4,5]=>[1,8,5,7,4,2,3,6]=>[1,4,2,7,8,3,5,6]=>[8,5,7,2,1,6,4,3]=>0000000
[6,2,3,1,7,8,4,5]=>[1,6,8,5,7,4,2,3]=>[1,4,2,7,8,6,5,3]=>[8,5,7,2,1,3,4,6]=>0000000
[8,2,3,1,6,7,4,5]=>[1,8,5,6,7,4,2,3]=>[1,4,2,7,8,5,6,3]=>[8,5,7,2,1,4,3,6]=>0000000
[2,8,4,1,3,6,7,5]=>[1,2,8,5,3,4,6,7]=>[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>0000000
[7,2,4,6,8,1,5,3]=>[1,7,5,8,3,4,6,2]=>[1,6,8,3,7,4,5,2]=>[8,3,1,6,2,5,4,7]=>0000000
[6,2,5,4,7,8,1,3]=>[1,6,8,3,5,7,2,4]=>[1,7,8,2,3,6,5,4]=>[8,2,1,7,6,3,4,5]=>0000000
[3,8,2,6,1,7,4,5]=>[1,3,2,8,5,4,6,7]=>[1,3,2,5,8,4,6,7]=>[8,6,7,4,1,5,3,2]=>0000000
[4,7,1,3,2,6,8,5]=>[1,4,3,2,7,8,5,6]=>[1,3,4,2,8,5,7,6]=>[8,6,5,7,1,4,2,3]=>0000000
[5,7,1,3,6,2,8,4]=>[1,5,6,2,7,8,4,3]=>[1,6,4,8,5,2,7,3]=>[8,3,5,1,4,7,2,6]=>0000000
[3,7,5,4,2,8,1,6]=>[1,3,5,2,7,4,6,8]=>[1,5,3,7,2,4,6,8]=>[8,4,6,2,7,5,3,1]=>0000000
[4,7,6,3,5,2,8,1]=>[1,4,3,6,2,7,8,5]=>[1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>0000000
[1,7,5,3,4,8,6,2]=>[1,2,7,6,8,3,5,4]=>[1,2,8,5,3,7,6,4]=>[8,7,1,4,6,2,3,5]=>0000000
[8,7,3,2,6,4,5,1]=>[1,8,2,7,5,6,4,3]=>[1,8,4,6,7,5,2,3]=>[8,1,5,3,2,4,7,6]=>0000000
[4,1,7,8,3,2,5,6]=>[1,4,8,6,2,3,7,5]=>[1,6,2,4,8,7,5,3]=>[8,3,7,5,1,2,4,6]=>0000000
[8,5,1,2,7,6,4,3]=>[1,8,3,2,5,7,4,6]=>[1,3,8,7,2,4,5,6]=>[8,6,1,2,7,5,4,3]=>0000000
[8,1,6,7,4,5,3,2]=>[1,8,2,3,6,5,4,7]=>[1,8,2,5,6,3,4,7]=>[8,1,7,4,3,6,5,2]=>0000000
[3,2,7,5,6,1,8,4]=>[1,3,7,8,4,5,6,2]=>[1,6,3,8,4,5,7,2]=>[8,3,6,1,5,4,2,7]=>0000000
[3,5,4,1,7,8,6,2]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>0000000
[2,4,6,1,8,7,3,5]=>[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>0000000
[2,4,6,8,5,7,3,1]=>[1,2,4,8,3,6,7,5]=>[1,2,8,4,7,3,6,5]=>[8,7,1,5,2,6,3,4]=>0000000
[2,4,6,8,5,7,1,3]=>[1,2,4,8,3,6,7,5]=>[1,2,8,4,7,3,6,5]=>[8,7,1,5,2,6,3,4]=>0000000
[2,4,6,8,7,1,3,5]=>[1,2,4,8,5,7,3,6]=>[1,2,7,4,8,3,5,6]=>[8,7,2,5,1,6,4,3]=>0000000
[2,7,6,4,3,8,5,1]=>[1,2,7,5,3,6,8,4]=>[1,2,5,7,8,4,6,3]=>[8,7,4,2,1,5,3,6]=>0000000
[4,5,2,6,8,7,1,3]=>[1,4,6,7,2,5,8,3]=>[1,7,8,4,2,6,5,3]=>[8,2,1,5,7,3,4,6]=>0000000
[1,7,8,6,4,5,3,2]=>[1,2,7,3,8,4,6,5]=>[1,2,7,8,6,4,3,5]=>[8,7,2,1,3,5,6,4]=>0000000
[8,7,2,3,5,4,6,1]=>[1,8,2,7,6,4,3,5]=>[1,8,4,6,3,7,2,5]=>[8,1,5,3,6,2,7,4]=>0000000
[8,5,2,3,7,4,6,1]=>[1,8,2,5,7,6,4,3]=>[1,8,4,6,2,7,5,3]=>[8,1,5,3,7,2,4,6]=>0000000
[7,4,1,3,8,5,6,2]=>[1,7,6,5,8,2,4,3]=>[1,8,4,2,6,7,5,3]=>[8,1,5,7,3,2,4,6]=>0000000
[8,3,5,1,7,6,4,2]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>[8,1,7,2,6,5,4,3]=>0000000
[8,3,5,4,7,1,6,2]=>[1,8,2,3,5,7,6,4]=>[1,8,2,6,3,7,5,4]=>[8,1,7,3,6,2,4,5]=>0000000
[8,4,1,5,6,2,7,3]=>[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>0000000
[1,7,8,6,4,2,3,5]=>[1,2,7,3,8,5,4,6]=>[1,2,7,5,8,4,3,6]=>[8,7,2,4,1,5,6,3]=>0000000
[7,1,3,2,4,6,8,5]=>[1,7,8,5,4,2,3,6]=>[1,4,2,5,8,3,7,6]=>[8,5,7,4,1,6,2,3]=>0000000
[4,3,8,5,1,2,7,6]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[8,4,7,5,6,1,3,2]=>0000000
[4,8,5,2,1,3,7,6]=>[1,4,2,8,6,3,5,7]=>[1,4,6,2,3,8,5,7]=>[8,5,3,7,6,1,4,2]=>0000000
[2,3,7,4,1,8,6,5]=>[1,2,3,7,6,8,5,4]=>[1,2,3,5,8,7,6,4]=>[8,7,6,4,1,2,3,5]=>0000000
[6,2,5,3,8,7,1,4]=>[1,6,7,2,3,5,8,4]=>[1,7,2,8,3,6,5,4]=>[8,2,7,1,6,3,4,5]=>0000000
[8,2,4,7,5,3,1,6]=>[1,8,6,3,4,7,2,5]=>[1,7,6,3,2,8,4,5]=>[8,2,3,6,7,1,5,4]=>0000000
[8,4,6,7,5,3,1,2]=>[1,8,2,4,7,3,6,5]=>[1,8,7,2,6,3,4,5]=>[8,1,2,7,3,6,5,4]=>0000000
[6,2,8,7,5,3,1,4]=>[1,6,3,8,4,7,2,5]=>[1,7,6,8,2,3,4,5]=>[8,2,3,1,7,6,5,4]=>0000000
[2,6,5,8,7,3,1,4]=>[1,2,6,3,5,7,4,8]=>[1,2,6,7,3,5,4,8]=>[8,7,3,2,6,4,5,1]=>0000000
[4,5,8,7,2,3,1,6]=>[1,4,7,2,5,3,8,6]=>[1,7,5,4,2,8,3,6]=>[8,2,4,5,7,1,6,3]=>0000000
[2,8,4,7,5,3,1,6]=>[1,2,8,6,3,4,7,5]=>[1,2,6,3,8,7,5,4]=>[8,7,3,6,1,2,4,5]=>0000000
[3,4,8,6,2,1,7,5]=>[1,3,8,5,2,4,6,7]=>[1,5,3,2,8,4,6,7]=>[8,4,6,7,1,5,3,2]=>0000000
[1,2,7,3,8,5,6,4]=>[1,2,3,7,6,5,8,4]=>[1,2,3,8,6,7,5,4]=>[8,7,6,1,3,2,4,5]=>0000000
[2,3,6,5,8,4,7,1]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>0000000
[2,4,7,3,8,5,1,6]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[8,7,5,6,2,1,4,3]=>0000000
[1,2,8,3,5,4,7,6]=>[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>0000000
[5,1,7,3,4,6,8,2]=>[1,5,4,3,7,8,2,6]=>[1,8,4,5,3,2,7,6]=>[8,1,5,4,6,7,2,3]=>0000000
[1,3,8,2,5,4,7,6]=>[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>0000000
[3,1,8,4,5,6,2,7]=>[1,3,8,7,2,4,5,6]=>[1,7,3,2,4,5,8,6]=>[8,2,6,7,5,4,1,3]=>0000000
[4,5,8,3,6,1,7,2]=>[1,4,3,8,2,5,6,7]=>[1,8,4,3,2,5,6,7]=>[8,1,5,6,7,4,3,2]=>0000000
[2,3,7,4,8,1,6,5]=>[1,2,3,7,6,4,5,8]=>[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>0000000
[7,1,5,6,3,2,8,4]=>[1,7,8,4,6,2,3,5]=>[1,6,2,8,3,4,7,5]=>[8,3,7,1,6,5,2,4]=>0000000
[8,3,1,2,5,4,7,6]=>[1,8,6,4,2,3,5,7]=>[1,4,2,6,3,8,5,7]=>[8,5,7,3,6,1,4,2]=>0000000
[6,5,1,2,8,4,7,3]=>[1,6,4,2,5,8,3,7]=>[1,4,6,8,3,5,2,7]=>[8,5,3,1,6,4,7,2]=>0000000
[1,3,4,8,6,2,7,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[1,2,4,8,6,7,3,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>0000000
[5,3,8,4,6,7,2,1]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>[8,2,7,1,4,3,6,5]=>0000000
[4,3,5,8,6,7,2,1]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>0000000
[3,2,7,8,5,6,4,1]=>[1,3,7,4,8,2,5,6]=>[1,8,3,7,2,5,4,6]=>[8,1,6,2,7,4,5,3]=>0000000
[3,4,8,2,6,7,5,1]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>0000000
[3,5,6,7,1,8,4,2]=>[1,3,6,8,2,5,4,7]=>[1,8,3,5,2,6,4,7]=>[8,1,6,4,7,3,5,2]=>0000000
[2,7,8,3,6,1,5,4]=>[1,2,7,5,6,3,8,4]=>[1,2,6,8,7,5,3,4]=>[8,7,3,1,2,4,6,5]=>0000000
[1,7,8,3,6,2,5,4]=>[1,2,7,5,6,3,8,4]=>[1,2,6,8,7,5,3,4]=>[8,7,3,1,2,4,6,5]=>0000000
[7,2,6,4,1,8,5,3]=>[1,7,5,2,3,6,8,4]=>[1,5,2,7,8,4,6,3]=>[8,4,7,2,1,5,3,6]=>0000000
[7,4,3,5,8,1,6,2]=>[1,7,6,2,4,5,8,3]=>[1,6,7,3,4,8,5,2]=>[8,3,2,6,5,1,4,7]=>0000000
[7,3,6,4,1,8,5,2]=>[1,7,5,2,3,6,8,4]=>[1,5,2,7,8,4,6,3]=>[8,4,7,2,1,5,3,6]=>0000000
[7,8,4,3,6,1,5,2]=>[1,7,5,6,2,8,3,4]=>[1,6,8,3,7,5,2,4]=>[8,3,1,6,2,4,7,5]=>0000000
[6,3,5,8,1,7,4,2]=>[1,6,7,4,8,2,3,5]=>[1,8,2,7,3,6,4,5]=>[8,1,7,2,6,3,5,4]=>0000000
[7,3,6,1,5,8,4,2]=>[1,7,4,2,3,6,8,5]=>[1,4,2,7,8,3,6,5]=>[8,5,7,2,1,6,3,4]=>0000000
[4,5,3,8,7,1,2,6]=>[1,4,8,6,2,5,7,3]=>[1,6,8,4,3,7,5,2]=>[8,3,1,5,6,2,4,7]=>0000000
[2,3,7,8,1,4,6,5]=>[1,2,3,7,6,4,8,5]=>[1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>0000000
[8,2,3,5,4,1,7,6]=>[1,8,6,2,3,4,5,7]=>[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>0000000
[8,1,2,5,3,7,6,4]=>[1,8,4,5,3,2,6,7]=>[1,3,5,8,4,2,6,7]=>[8,6,4,1,5,7,3,2]=>0000000
[4,2,8,1,5,7,6,3]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>0000000
[6,8,7,3,2,1,5,4]=>[1,6,2,8,4,3,7,5]=>[1,6,4,8,7,2,3,5]=>[8,3,5,1,2,7,6,4]=>0000000
[3,8,6,4,2,7,1,5]=>[1,3,6,7,2,8,5,4]=>[1,7,3,5,8,6,2,4]=>[8,2,6,4,1,3,7,5]=>0000000
[2,4,8,6,5,7,3,1]=>[1,2,4,6,7,3,8,5]=>[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>0000000
[6,8,4,7,5,1,3,2]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>[8,3,1,6,2,7,5,4]=>0000000
[6,1,5,4,7,3,8,2]=>[1,6,3,5,7,8,2,4]=>[1,8,6,2,3,5,7,4]=>[8,1,3,7,6,4,2,5]=>0000000
[4,5,8,2,3,7,6,1]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[8,5,4,7,6,1,3,2]=>0000000
[5,7,3,4,2,8,6,1]=>[1,5,2,7,6,8,3,4]=>[1,5,8,3,2,7,6,4]=>[8,4,1,6,7,2,3,5]=>0000000
[3,5,6,8,2,4,7,1]=>[1,3,6,4,8,2,5,7]=>[1,8,3,6,2,4,5,7]=>[8,1,6,3,7,5,4,2]=>0000000
[3,7,4,2,6,8,5,1]=>[1,3,4,2,7,5,6,8]=>[1,4,3,2,7,5,6,8]=>[8,5,6,7,2,4,3,1]=>0000000
[8,1,4,3,6,7,2,5]=>[1,8,5,6,7,2,3,4]=>[1,7,2,3,8,5,6,4]=>[8,2,7,6,1,4,3,5]=>0000000
[8,3,1,4,6,7,2,5]=>[1,8,5,6,7,2,3,4]=>[1,7,2,3,8,5,6,4]=>[8,2,7,6,1,4,3,5]=>0000000
[8,2,6,5,1,7,4,3]=>[1,8,3,6,7,4,5,2]=>[1,5,8,7,4,3,6,2]=>[8,4,1,2,5,6,3,7]=>0000000
[8,6,5,2,1,7,4,3]=>[1,8,3,5,2,6,7,4]=>[1,5,8,7,3,2,6,4]=>[8,4,1,2,6,7,3,5]=>0000000
[1,8,5,2,7,6,4,3]=>[1,2,8,3,5,7,4,6]=>[1,2,8,7,3,4,5,6]=>[8,7,1,2,6,5,4,3]=>0000000
[4,6,5,7,1,8,2,3]=>[1,4,7,2,6,8,3,5]=>[1,7,8,4,3,2,6,5]=>[8,2,1,5,6,7,3,4]=>0000000
[7,4,6,2,8,5,3,1]=>[1,7,3,6,5,8,2,4]=>[1,8,7,2,6,3,5,4]=>[8,1,2,7,3,6,4,5]=>0000000
[1,3,5,8,6,4,2,7]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>0000000
[1,5,7,6,2,3,8,4]=>[1,2,5,3,7,8,4,6]=>[1,2,5,8,3,4,7,6]=>[8,7,4,1,6,5,2,3]=>0000000
[1,5,8,4,3,7,6,2]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>0000000
[4,1,5,7,3,8,2,6]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>0000000
[1,3,7,4,6,8,5,2]=>[1,2,3,7,5,6,8,4]=>[1,2,3,8,7,5,6,4]=>[8,7,6,1,2,4,3,5]=>0000000
[8,5,6,4,3,1,7,2]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[8,1,4,3,7,6,5,2]=>0000000
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
Map
connectivity set
Description
The connectivity set of a permutation as a binary word.
According to [2], also known as the global ascent set.
The connectivity set is
$$C(\pi)=\{i\in [n-1] | \forall 1 \leq j \leq i < k \leq n : \pi(j) < \pi(k)\}.$$
For $n > 1$ it can also be described as the set of occurrences of the mesh pattern
$$([1,2], \{(0,2),(1,0),(1,1),(2,0),(2,1) \})$$
or equivalently
$$([1,2], \{(0,1),(0,2),(1,1),(1,2),(2,0) \}),$$
see [3].
The permutation is connected, when the connectivity set is empty.
According to [2], also known as the global ascent set.
The connectivity set is
$$C(\pi)=\{i\in [n-1] | \forall 1 \leq j \leq i < k \leq n : \pi(j) < \pi(k)\}.$$
For $n > 1$ it can also be described as the set of occurrences of the mesh pattern
$$([1,2], \{(0,2),(1,0),(1,1),(2,0),(2,1) \})$$
or equivalently
$$([1,2], \{(0,1),(0,2),(1,1),(1,2),(2,0) \}),$$
see [3].
The permutation is connected, when the connectivity set is empty.
searching the database
Sorry, this map was not found in the database.