Identifier
Mp00031: Dyck paths to 312-avoiding permutationPermutations
Mp00149: Permutations Lehmer code rotationPermutations
Mp00238: Permutations Clarke-Steingrimsson-ZengPermutations
Images
=>
Cc0005;cc-rep-0
[1,0]=>[1]=>[1]=>[1] [1,0,1,0]=>[1,2]=>[2,1]=>[2,1] [1,1,0,0]=>[2,1]=>[1,2]=>[1,2] [1,0,1,0,1,0]=>[1,2,3]=>[2,3,1]=>[3,2,1] [1,0,1,1,0,0]=>[1,3,2]=>[2,1,3]=>[2,1,3] [1,1,0,0,1,0]=>[2,1,3]=>[3,2,1]=>[2,3,1] [1,1,0,1,0,0]=>[2,3,1]=>[3,1,2]=>[3,1,2] [1,1,1,0,0,0]=>[3,2,1]=>[1,2,3]=>[1,2,3] [1,0,1,0,1,0,1,0]=>[1,2,3,4]=>[2,3,4,1]=>[4,2,3,1] [1,0,1,0,1,1,0,0]=>[1,2,4,3]=>[2,3,1,4]=>[3,2,1,4] [1,0,1,1,0,0,1,0]=>[1,3,2,4]=>[2,4,3,1]=>[3,2,4,1] [1,0,1,1,0,1,0,0]=>[1,3,4,2]=>[2,4,1,3]=>[4,2,1,3] [1,0,1,1,1,0,0,0]=>[1,4,3,2]=>[2,1,3,4]=>[2,1,3,4] [1,1,0,0,1,0,1,0]=>[2,1,3,4]=>[3,2,4,1]=>[4,3,2,1] [1,1,0,0,1,1,0,0]=>[2,1,4,3]=>[3,2,1,4]=>[2,3,1,4] [1,1,0,1,0,0,1,0]=>[2,3,1,4]=>[3,4,2,1]=>[2,4,3,1] [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>[3,4,1,2]=>[4,1,3,2] [1,1,0,1,1,0,0,0]=>[2,4,3,1]=>[3,1,2,4]=>[3,1,2,4] [1,1,1,0,0,0,1,0]=>[3,2,1,4]=>[4,3,2,1]=>[2,3,4,1] [1,1,1,0,0,1,0,0]=>[3,2,4,1]=>[4,3,1,2]=>[3,1,4,2] [1,1,1,0,1,0,0,0]=>[3,4,2,1]=>[4,1,2,3]=>[4,1,2,3] [1,1,1,1,0,0,0,0]=>[4,3,2,1]=>[1,2,3,4]=>[1,2,3,4] [1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[5,2,3,4,1] [1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>[2,3,4,1,5]=>[4,2,3,1,5] [1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>[2,3,5,4,1]=>[4,2,3,5,1] [1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>[2,3,5,1,4]=>[5,2,3,1,4] [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,4,3]=>[2,3,1,4,5]=>[3,2,1,4,5] [1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>[2,4,3,5,1]=>[5,2,4,3,1] [1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>[2,4,3,1,5]=>[3,2,4,1,5] [1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>[2,4,5,3,1]=>[3,2,5,4,1] [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>[2,4,5,1,3]=>[5,2,1,4,3] [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,4,2]=>[2,4,1,3,5]=>[4,2,1,3,5] [1,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,5]=>[2,5,4,3,1]=>[3,2,4,5,1] [1,0,1,1,1,0,0,1,0,0]=>[1,4,3,5,2]=>[2,5,4,1,3]=>[4,2,1,5,3] [1,0,1,1,1,0,1,0,0,0]=>[1,4,5,3,2]=>[2,5,1,3,4]=>[5,2,1,3,4] [1,0,1,1,1,1,0,0,0,0]=>[1,5,4,3,2]=>[2,1,3,4,5]=>[2,1,3,4,5] [1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>[3,2,4,5,1]=>[5,3,2,4,1] [1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>[3,2,4,1,5]=>[4,3,2,1,5] [1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>[3,2,5,4,1]=>[4,3,2,5,1] [1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>[3,2,5,1,4]=>[5,3,2,1,4] [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,4,3]=>[3,2,1,4,5]=>[2,3,1,4,5] [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>[3,4,2,5,1]=>[5,4,3,2,1] [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>[3,4,2,1,5]=>[2,4,3,1,5] [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>[3,4,5,2,1]=>[2,5,3,4,1] [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>[3,4,5,1,2]=>[5,1,3,4,2] [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,4,1]=>[3,4,1,2,5]=>[4,1,3,2,5] [1,1,0,1,1,0,0,0,1,0]=>[2,4,3,1,5]=>[3,5,4,2,1]=>[2,4,3,5,1] [1,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,1]=>[3,5,4,1,2]=>[4,1,3,5,2] [1,1,0,1,1,0,1,0,0,0]=>[2,4,5,3,1]=>[3,5,1,2,4]=>[5,1,3,2,4] [1,1,0,1,1,1,0,0,0,0]=>[2,5,4,3,1]=>[3,1,2,4,5]=>[3,1,2,4,5] [1,1,1,0,0,0,1,0,1,0]=>[3,2,1,4,5]=>[4,3,2,5,1]=>[5,3,4,2,1] [1,1,1,0,0,0,1,1,0,0]=>[3,2,1,5,4]=>[4,3,2,1,5]=>[2,3,4,1,5] [1,1,1,0,0,1,0,0,1,0]=>[3,2,4,1,5]=>[4,3,5,2,1]=>[2,5,4,3,1] [1,1,1,0,0,1,0,1,0,0]=>[3,2,4,5,1]=>[4,3,5,1,2]=>[5,1,4,3,2] [1,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,1]=>[4,3,1,2,5]=>[3,1,4,2,5] [1,1,1,0,1,0,0,0,1,0]=>[3,4,2,1,5]=>[4,5,3,2,1]=>[2,3,5,4,1] [1,1,1,0,1,0,0,1,0,0]=>[3,4,2,5,1]=>[4,5,3,1,2]=>[3,1,5,4,2] [1,1,1,0,1,0,1,0,0,0]=>[3,4,5,2,1]=>[4,5,1,2,3]=>[5,1,2,4,3] [1,1,1,0,1,1,0,0,0,0]=>[3,5,4,2,1]=>[4,1,2,3,5]=>[4,1,2,3,5] [1,1,1,1,0,0,0,0,1,0]=>[4,3,2,1,5]=>[5,4,3,2,1]=>[2,3,4,5,1] [1,1,1,1,0,0,0,1,0,0]=>[4,3,2,5,1]=>[5,4,3,1,2]=>[3,1,4,5,2] [1,1,1,1,0,0,1,0,0,0]=>[4,3,5,2,1]=>[5,4,1,2,3]=>[4,1,2,5,3] [1,1,1,1,0,1,0,0,0,0]=>[4,5,3,2,1]=>[5,1,2,3,4]=>[5,1,2,3,4] [1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5] [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1] [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6] [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[5,2,3,4,6,1] [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5] [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,5,4]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6] [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[6,2,3,5,4,1] [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>[2,3,5,4,1,6]=>[4,2,3,5,1,6] [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]=>[2,3,5,6,4,1]=>[4,2,3,6,5,1] [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4] [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,5,3]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6] [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1]=>[4,2,3,5,6,1] [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,4,6,3]=>[2,3,6,5,1,4]=>[5,2,3,1,6,4] [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,5,6,4,3]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5] [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,5,4,3]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6] [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[6,2,4,3,5,1] [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>[2,4,3,5,1,6]=>[5,2,4,3,1,6] [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]=>[2,4,3,6,5,1]=>[5,2,4,3,6,1] [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>[2,4,3,6,1,5]=>[6,2,4,3,1,5] [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,5,4]=>[2,4,3,1,5,6]=>[3,2,4,1,5,6] [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>[2,4,5,3,6,1]=>[6,2,5,4,3,1] [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>[2,4,5,3,1,6]=>[3,2,5,4,1,6] [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>[2,4,5,6,3,1]=>[3,2,6,4,5,1] [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3] [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,5,2]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6] [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,4,2,6]=>[2,4,6,5,3,1]=>[3,2,5,4,6,1] [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,4,6,2]=>[2,4,6,5,1,3]=>[5,2,1,4,6,3] [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,5,6,4,2]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5] [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,5,4,2]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6] [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1]=>[6,2,4,5,3,1] [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,3,2,6,5]=>[2,5,4,3,1,6]=>[3,2,4,5,1,6] [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,3,5,2,6]=>[2,5,4,6,3,1]=>[3,2,6,5,4,1] [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,3,5,6,2]=>[2,5,4,6,1,3]=>[6,2,1,5,4,3] [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,2]=>[2,5,4,1,3,6]=>[4,2,1,5,3,6] [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,4,5,3,2,6]=>[2,5,6,4,3,1]=>[3,2,4,6,5,1] [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,4,5,3,6,2]=>[2,5,6,4,1,3]=>[4,2,1,6,5,3] [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,4,5,6,3,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4] [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,4,6,5,3,2]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6] [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,4,3,2,6]=>[2,6,5,4,3,1]=>[3,2,4,5,6,1] [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,4,3,6,2]=>[2,6,5,4,1,3]=>[4,2,1,5,6,3] [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,5,4,6,3,2]=>[2,6,5,1,3,4]=>[5,2,1,3,6,4] [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,5,6,4,3,2]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5] [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,5,4,3,2]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]=>[3,2,4,5,6,1]=>[6,3,2,4,5,1] [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>[3,2,4,5,1,6]=>[5,3,2,4,1,6] [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]=>[3,2,4,6,5,1]=>[5,3,2,4,6,1] [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>[3,2,4,6,1,5]=>[6,3,2,4,1,5] [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,5,4]=>[3,2,4,1,5,6]=>[4,3,2,1,5,6] [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[3,2,5,4,6,1]=>[6,3,2,5,4,1] [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>[3,2,5,4,1,6]=>[4,3,2,5,1,6] [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[3,2,5,6,4,1]=>[4,3,2,6,5,1] [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>[3,2,5,6,1,4]=>[6,3,2,1,5,4] [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3]=>[3,2,5,1,4,6]=>[5,3,2,1,4,6] [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,4,3,6]=>[3,2,6,5,4,1]=>[4,3,2,5,6,1] [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3]=>[3,2,6,5,1,4]=>[5,3,2,1,6,4] [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,5,6,4,3]=>[3,2,6,1,4,5]=>[6,3,2,1,4,5] [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6] [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1] [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6] [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>[3,4,2,6,5,1]=>[5,4,3,2,6,1] [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>[3,4,2,6,1,5]=>[6,4,3,2,1,5] [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,5,4]=>[3,4,2,1,5,6]=>[2,4,3,1,5,6] [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1] [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>[3,4,5,2,1,6]=>[2,5,3,4,1,6] [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>[3,4,5,6,2,1]=>[2,6,3,4,5,1] [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2] [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,5,1]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6] [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,4,1,6]=>[3,4,6,5,2,1]=>[2,5,3,4,6,1] [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,4,6,1]=>[3,4,6,5,1,2]=>[5,1,3,4,6,2] [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,6,4,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5] [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,5,4,1]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6] [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,1,5,6]=>[3,5,4,2,6,1]=>[6,4,3,5,2,1] [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,5]=>[3,5,4,2,1,6]=>[2,4,3,5,1,6] [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,5,1,6]=>[3,5,4,6,2,1]=>[2,6,3,5,4,1] [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,5,6,1]=>[3,5,4,6,1,2]=>[6,1,3,5,4,2] [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,1]=>[3,5,4,1,2,6]=>[4,1,3,5,2,6] [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,4,5,3,1,6]=>[3,5,6,4,2,1]=>[2,4,3,6,5,1] [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,5,3,6,1]=>[3,5,6,4,1,2]=>[4,1,3,6,5,2] [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,6,3,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4] [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,6,5,3,1]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6] [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,4,3,1,6]=>[3,6,5,4,2,1]=>[2,4,3,5,6,1] [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,4,3,6,1]=>[3,6,5,4,1,2]=>[4,1,3,5,6,2] [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,5,4,6,3,1]=>[3,6,5,1,2,4]=>[5,1,3,2,6,4] [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,5,6,4,3,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5] [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,5,4,3,1]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6] [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,4,5,6]=>[4,3,2,5,6,1]=>[6,3,4,2,5,1] [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,4,6,5]=>[4,3,2,5,1,6]=>[5,3,4,2,1,6] [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,6]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1] [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1,5,6,4]=>[4,3,2,6,1,5]=>[6,3,4,2,1,5] [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,1,6,5,4]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6] [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,4,1,5,6]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1] [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5]=>[4,3,5,2,1,6]=>[2,5,4,3,1,6] [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,4,5,1,6]=>[4,3,5,6,2,1]=>[2,6,4,3,5,1] [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,1]=>[4,3,5,6,1,2]=>[6,1,4,3,5,2] [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,4,6,5,1]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6] [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,1,6]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1] [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,6,1]=>[4,3,6,5,1,2]=>[5,1,4,3,6,2] [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,5,6,4,1]=>[4,3,6,1,2,5]=>[6,1,4,3,2,5] [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,6,5,4,1]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6] [1,1,1,0,1,0,0,0,1,0,1,0]=>[3,4,2,1,5,6]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1] [1,1,1,0,1,0,0,0,1,1,0,0]=>[3,4,2,1,6,5]=>[4,5,3,2,1,6]=>[2,3,5,4,1,6] [1,1,1,0,1,0,0,1,0,0,1,0]=>[3,4,2,5,1,6]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1] [1,1,1,0,1,0,0,1,0,1,0,0]=>[3,4,2,5,6,1]=>[4,5,3,6,1,2]=>[6,1,5,4,3,2] [1,1,1,0,1,0,0,1,1,0,0,0]=>[3,4,2,6,5,1]=>[4,5,3,1,2,6]=>[3,1,5,4,2,6] [1,1,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,2,1,6]=>[4,5,6,3,2,1]=>[2,3,6,4,5,1] [1,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,2,6,1]=>[4,5,6,3,1,2]=>[3,1,6,4,5,2] [1,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3] [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,6,5,2,1]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6] [1,1,1,0,1,1,0,0,0,0,1,0]=>[3,5,4,2,1,6]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1] [1,1,1,0,1,1,0,0,0,1,0,0]=>[3,5,4,2,6,1]=>[4,6,5,3,1,2]=>[3,1,5,4,6,2] [1,1,1,0,1,1,0,0,1,0,0,0]=>[3,5,4,6,2,1]=>[4,6,5,1,2,3]=>[5,1,2,4,6,3] [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,5,6,4,2,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5] [1,1,1,0,1,1,1,0,0,0,0,0]=>[3,6,5,4,2,1]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6] [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,2,1,5,6]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1] [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,6,5]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6] [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,3,2,5,1,6]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1] [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3,2,5,6,1]=>[5,4,3,6,1,2]=>[6,1,4,5,3,2] [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,3,2,6,5,1]=>[5,4,3,1,2,6]=>[3,1,4,5,2,6] [1,1,1,1,0,0,1,0,0,0,1,0]=>[4,3,5,2,1,6]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1] [1,1,1,1,0,0,1,0,0,1,0,0]=>[4,3,5,2,6,1]=>[5,4,6,3,1,2]=>[3,1,6,5,4,2] [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,3,5,6,2,1]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3] [1,1,1,1,0,0,1,1,0,0,0,0]=>[4,3,6,5,2,1]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6] [1,1,1,1,0,1,0,0,0,0,1,0]=>[4,5,3,2,1,6]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1] [1,1,1,1,0,1,0,0,0,1,0,0]=>[4,5,3,2,6,1]=>[5,6,4,3,1,2]=>[3,1,4,6,5,2] [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,5,3,6,2,1]=>[5,6,4,1,2,3]=>[4,1,2,6,5,3] [1,1,1,1,0,1,0,1,0,0,0,0]=>[4,5,6,3,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4] [1,1,1,1,0,1,1,0,0,0,0,0]=>[4,6,5,3,2,1]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6] [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1] [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,4,3,2,6,1]=>[6,5,4,3,1,2]=>[3,1,4,5,6,2] [1,1,1,1,1,0,0,0,1,0,0,0]=>[5,4,3,6,2,1]=>[6,5,4,1,2,3]=>[4,1,2,5,6,3] [1,1,1,1,1,0,0,1,0,0,0,0]=>[5,4,6,3,2,1]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4] [1,1,1,1,1,0,1,0,0,0,0,0]=>[5,6,4,3,2,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5] [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6] [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[6,2,3,4,5,7,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]=>[2,3,4,5,7,1,6]=>[7,2,3,4,5,1,6] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7] [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[7,2,3,4,6,5,1] [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[5,2,3,4,6,1,7] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]=>[2,3,4,6,7,5,1]=>[5,2,3,4,7,6,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>[2,3,4,6,7,1,5]=>[7,2,3,4,1,6,5] [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,6,4]=>[2,3,4,6,1,5,7]=>[6,2,3,4,1,5,7] [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[5,2,3,4,6,7,1] [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,5,7,4]=>[2,3,4,7,6,1,5]=>[6,2,3,4,1,7,5] [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,6,7,5,4]=>[2,3,4,7,1,5,6]=>[7,2,3,4,1,5,6] [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,6,5,4]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7] [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[7,2,3,5,4,6,1] [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[6,2,3,5,4,1,7] [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[6,2,3,5,4,7,1] [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]=>[2,3,5,4,7,1,6]=>[7,2,3,5,4,1,6] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,6,5]=>[2,3,5,4,1,6,7]=>[4,2,3,5,1,6,7] [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>[2,3,5,6,4,7,1]=>[7,2,3,6,5,4,1] [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>[2,3,5,6,4,1,7]=>[4,2,3,6,5,1,7] [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>[2,3,5,6,7,4,1]=>[4,2,3,7,5,6,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>[2,3,5,6,7,1,4]=>[7,2,3,1,5,6,4] [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,6,3]=>[2,3,5,6,1,4,7]=>[6,2,3,1,5,4,7] [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,5,3,7]=>[2,3,5,7,6,4,1]=>[4,2,3,6,5,7,1] [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,5,7,3]=>[2,3,5,7,6,1,4]=>[6,2,3,1,5,7,4] [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,6,7,5,3]=>[2,3,5,7,1,4,6]=>[7,2,3,1,5,4,6] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,6,5,3]=>[2,3,5,1,4,6,7]=>[5,2,3,1,4,6,7] [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[7,2,3,5,6,4,1] [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,4,3,7,6]=>[2,3,6,5,4,1,7]=>[4,2,3,5,6,1,7] [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,4,6,3,7]=>[2,3,6,5,7,4,1]=>[4,2,3,7,6,5,1] [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,4,6,7,3]=>[2,3,6,5,7,1,4]=>[7,2,3,1,6,5,4] [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,4,7,6,3]=>[2,3,6,5,1,4,7]=>[5,2,3,1,6,4,7] [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,5,6,4,3,7]=>[2,3,6,7,5,4,1]=>[4,2,3,5,7,6,1] [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,5,6,4,7,3]=>[2,3,6,7,5,1,4]=>[5,2,3,1,7,6,4] [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,4,3]=>[2,3,6,7,1,4,5]=>[7,2,3,1,4,6,5] [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,5,7,6,4,3]=>[2,3,6,1,4,5,7]=>[6,2,3,1,4,5,7] [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,5,4,3,7]=>[2,3,7,6,5,4,1]=>[4,2,3,5,6,7,1] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,5,4,7,3]=>[2,3,7,6,5,1,4]=>[5,2,3,1,6,7,4] [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,6,5,7,4,3]=>[2,3,7,6,1,4,5]=>[6,2,3,1,4,7,5] [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,6,7,5,4,3]=>[2,3,7,1,4,5,6]=>[7,2,3,1,4,5,6] [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,6,5,4,3]=>[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7] [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[7,2,4,3,5,6,1] [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[6,2,4,3,5,1,7] [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[6,2,4,3,5,7,1] [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]=>[2,4,3,5,7,1,6]=>[7,2,4,3,5,1,6] [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,6,5]=>[2,4,3,5,1,6,7]=>[5,2,4,3,1,6,7] [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[7,2,4,3,6,5,1] [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]=>[2,4,3,6,5,1,7]=>[5,2,4,3,6,1,7] [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]=>[2,4,3,6,7,5,1]=>[5,2,4,3,7,6,1] [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>[2,4,3,6,7,1,5]=>[7,2,4,3,1,6,5] [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,6,4]=>[2,4,3,6,1,5,7]=>[6,2,4,3,1,5,7] [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,5,4,7]=>[2,4,3,7,6,5,1]=>[5,2,4,3,6,7,1] [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,5,7,4]=>[2,4,3,7,6,1,5]=>[6,2,4,3,1,7,5] [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,6,7,5,4]=>[2,4,3,7,1,5,6]=>[7,2,4,3,1,5,6] [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,6,5,4]=>[2,4,3,1,5,6,7]=>[3,2,4,1,5,6,7] [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>[2,4,5,3,6,7,1]=>[7,2,5,4,3,6,1] [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>[2,4,5,3,6,1,7]=>[6,2,5,4,3,1,7] [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>[2,4,5,3,7,6,1]=>[6,2,5,4,3,7,1] [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>[2,4,5,3,7,1,6]=>[7,2,5,4,3,1,6] [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,6,5]=>[2,4,5,3,1,6,7]=>[3,2,5,4,1,6,7] [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>[2,4,5,6,3,7,1]=>[7,2,6,4,5,3,1] [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>[2,4,5,6,3,1,7]=>[3,2,6,4,5,1,7] [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>[2,4,5,6,7,3,1]=>[3,2,7,4,5,6,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>[2,4,5,6,7,1,3]=>[7,2,1,4,5,6,3] [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,6,2]=>[2,4,5,6,1,3,7]=>[6,2,1,4,5,3,7] [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,5,2,7]=>[2,4,5,7,6,3,1]=>[3,2,6,4,5,7,1] [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,5,7,2]=>[2,4,5,7,6,1,3]=>[6,2,1,4,5,7,3] [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,6,7,5,2]=>[2,4,5,7,1,3,6]=>[7,2,1,4,5,3,6] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,6,5,2]=>[2,4,5,1,3,6,7]=>[5,2,1,4,3,6,7] [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,4,2,6,7]=>[2,4,6,5,3,7,1]=>[7,2,5,4,6,3,1] [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,4,2,7,6]=>[2,4,6,5,3,1,7]=>[3,2,5,4,6,1,7] [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,4,6,2,7]=>[2,4,6,5,7,3,1]=>[3,2,7,4,6,5,1] [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,4,6,7,2]=>[2,4,6,5,7,1,3]=>[7,2,1,4,6,5,3] [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,4,7,6,2]=>[2,4,6,5,1,3,7]=>[5,2,1,4,6,3,7] [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,5,6,4,2,7]=>[2,4,6,7,5,3,1]=>[3,2,5,4,7,6,1] [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,5,6,4,7,2]=>[2,4,6,7,5,1,3]=>[5,2,1,4,7,6,3] [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,4,2]=>[2,4,6,7,1,3,5]=>[7,2,1,4,3,6,5] [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,7,6,4,2]=>[2,4,6,1,3,5,7]=>[6,2,1,4,3,5,7] [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,5,4,2,7]=>[2,4,7,6,5,3,1]=>[3,2,5,4,6,7,1] [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,5,4,7,2]=>[2,4,7,6,5,1,3]=>[5,2,1,4,6,7,3] [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,6,5,7,4,2]=>[2,4,7,6,1,3,5]=>[6,2,1,4,3,7,5] [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,6,7,5,4,2]=>[2,4,7,1,3,5,6]=>[7,2,1,4,3,5,6] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,6,5,4,2]=>[2,4,1,3,5,6,7]=>[4,2,1,3,5,6,7] [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[7,2,4,5,3,6,1] [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,3,2,5,7,6]=>[2,5,4,3,6,1,7]=>[6,2,4,5,3,1,7] [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,3,2,6,5,7]=>[2,5,4,3,7,6,1]=>[6,2,4,5,3,7,1] [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,3,2,6,7,5]=>[2,5,4,3,7,1,6]=>[7,2,4,5,3,1,6] [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,3,2,7,6,5]=>[2,5,4,3,1,6,7]=>[3,2,4,5,1,6,7] [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,3,5,2,6,7]=>[2,5,4,6,3,7,1]=>[7,2,6,5,4,3,1] [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,3,5,2,7,6]=>[2,5,4,6,3,1,7]=>[3,2,6,5,4,1,7] [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,2,7]=>[2,5,4,6,7,3,1]=>[3,2,7,5,4,6,1] [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,2]=>[2,5,4,6,7,1,3]=>[7,2,1,5,4,6,3] [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,3,5,7,6,2]=>[2,5,4,6,1,3,7]=>[6,2,1,5,4,3,7] [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,3,6,5,2,7]=>[2,5,4,7,6,3,1]=>[3,2,6,5,4,7,1] [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,3,6,5,7,2]=>[2,5,4,7,6,1,3]=>[6,2,1,5,4,7,3] [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,3,6,7,5,2]=>[2,5,4,7,1,3,6]=>[7,2,1,5,4,3,6] [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,3,7,6,5,2]=>[2,5,4,1,3,6,7]=>[4,2,1,5,3,6,7] [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,4,5,3,2,6,7]=>[2,5,6,4,3,7,1]=>[7,2,4,6,5,3,1] [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,4,5,3,2,7,6]=>[2,5,6,4,3,1,7]=>[3,2,4,6,5,1,7] [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,3,6,2,7]=>[2,5,6,4,7,3,1]=>[3,2,7,6,5,4,1] [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,5,3,6,7,2]=>[2,5,6,4,7,1,3]=>[7,2,1,6,5,4,3] [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,5,3,7,6,2]=>[2,5,6,4,1,3,7]=>[4,2,1,6,5,3,7] [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,3,2,7]=>[2,5,6,7,4,3,1]=>[3,2,4,7,5,6,1] [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,3,7,2]=>[2,5,6,7,4,1,3]=>[4,2,1,7,5,6,3] [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,3,2]=>[2,5,6,7,1,3,4]=>[7,2,1,3,5,6,4] [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,4,5,7,6,3,2]=>[2,5,6,1,3,4,7]=>[6,2,1,3,5,4,7] [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,4,6,5,3,2,7]=>[2,5,7,6,4,3,1]=>[3,2,4,6,5,7,1] [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,6,5,3,7,2]=>[2,5,7,6,4,1,3]=>[4,2,1,6,5,7,3] [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,6,5,7,3,2]=>[2,5,7,6,1,3,4]=>[6,2,1,3,5,7,4] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,4,6,7,5,3,2]=>[2,5,7,1,3,4,6]=>[7,2,1,3,5,4,6] [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,4,7,6,5,3,2]=>[2,5,1,3,4,6,7]=>[5,2,1,3,4,6,7] [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,4,3,2,6,7]=>[2,6,5,4,3,7,1]=>[7,2,4,5,6,3,1] [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,4,3,2,7,6]=>[2,6,5,4,3,1,7]=>[3,2,4,5,6,1,7] [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,4,3,6,2,7]=>[2,6,5,4,7,3,1]=>[3,2,7,5,6,4,1] [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,4,3,6,7,2]=>[2,6,5,4,7,1,3]=>[7,2,1,5,6,4,3] [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,4,3,7,6,2]=>[2,6,5,4,1,3,7]=>[4,2,1,5,6,3,7] [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,5,4,6,3,2,7]=>[2,6,5,7,4,3,1]=>[3,2,4,7,6,5,1] [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,4,6,3,7,2]=>[2,6,5,7,4,1,3]=>[4,2,1,7,6,5,3] [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,5,4,6,7,3,2]=>[2,6,5,7,1,3,4]=>[7,2,1,3,6,5,4] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,5,4,7,6,3,2]=>[2,6,5,1,3,4,7]=>[5,2,1,3,6,4,7] [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,5,6,4,3,2,7]=>[2,6,7,5,4,3,1]=>[3,2,4,5,7,6,1] [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,5,6,4,3,7,2]=>[2,6,7,5,4,1,3]=>[4,2,1,5,7,6,3] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,5,6,4,7,3,2]=>[2,6,7,5,1,3,4]=>[5,2,1,3,7,6,4] [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,4,3,2]=>[2,6,7,1,3,4,5]=>[7,2,1,3,4,6,5] [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,5,7,6,4,3,2]=>[2,6,1,3,4,5,7]=>[6,2,1,3,4,5,7] [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,5,4,3,2,7]=>[2,7,6,5,4,3,1]=>[3,2,4,5,6,7,1] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,5,4,3,7,2]=>[2,7,6,5,4,1,3]=>[4,2,1,5,6,7,3] [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,6,5,4,7,3,2]=>[2,7,6,5,1,3,4]=>[5,2,1,3,6,7,4] [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,6,5,7,4,3,2]=>[2,7,6,1,3,4,5]=>[6,2,1,3,4,7,5] [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,6,7,5,4,3,2]=>[2,7,1,3,4,5,6]=>[7,2,1,3,4,5,6] [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,6,5,4,3,2]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7] [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7]=>[3,2,4,5,6,7,1]=>[7,3,2,4,5,6,1] [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,7,6]=>[3,2,4,5,6,1,7]=>[6,3,2,4,5,1,7] [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,7]=>[3,2,4,5,7,6,1]=>[6,3,2,4,5,7,1] [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,6,7,5]=>[3,2,4,5,7,1,6]=>[7,3,2,4,5,1,6] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,6,5]=>[3,2,4,5,1,6,7]=>[5,3,2,4,1,6,7] [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,5,4,6,7]=>[3,2,4,6,5,7,1]=>[7,3,2,4,6,5,1] [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6]=>[3,2,4,6,5,1,7]=>[5,3,2,4,6,1,7] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,6,4,7]=>[3,2,4,6,7,5,1]=>[5,3,2,4,7,6,1] [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,4]=>[3,2,4,6,7,1,5]=>[7,3,2,4,1,6,5] [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,6,4]=>[3,2,4,6,1,5,7]=>[6,3,2,4,1,5,7] [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,5,4,7]=>[3,2,4,7,6,5,1]=>[5,3,2,4,6,7,1] [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,5,7,4]=>[3,2,4,7,6,1,5]=>[6,3,2,4,1,7,5] [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,6,7,5,4]=>[3,2,4,7,1,5,6]=>[7,3,2,4,1,5,6] [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,6,5,4]=>[3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7] [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>[3,2,5,4,6,7,1]=>[7,3,2,5,4,6,1] [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,5,7,6]=>[3,2,5,4,6,1,7]=>[6,3,2,5,4,1,7] [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7]=>[3,2,5,4,7,6,1]=>[6,3,2,5,4,7,1] [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,7,5]=>[3,2,5,4,7,1,6]=>[7,3,2,5,4,1,6] [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,6,5]=>[3,2,5,4,1,6,7]=>[4,3,2,5,1,6,7] [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,3,6,7]=>[3,2,5,6,4,7,1]=>[7,3,2,6,5,4,1] [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,3,7,6]=>[3,2,5,6,4,1,7]=>[4,3,2,6,5,1,7] [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,3,7]=>[3,2,5,6,7,4,1]=>[4,3,2,7,5,6,1] [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,3]=>[3,2,5,6,7,1,4]=>[7,3,2,1,5,6,4] [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,6,3]=>[3,2,5,6,1,4,7]=>[6,3,2,1,5,4,7] [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,5,3,7]=>[3,2,5,7,6,4,1]=>[4,3,2,6,5,7,1] [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,5,7,3]=>[3,2,5,7,6,1,4]=>[6,3,2,1,5,7,4] [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,6,7,5,3]=>[3,2,5,7,1,4,6]=>[7,3,2,1,5,4,6] [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,6,5,3]=>[3,2,5,1,4,6,7]=>[5,3,2,1,4,6,7] [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,4,3,6,7]=>[3,2,6,5,4,7,1]=>[7,3,2,5,6,4,1] [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,4,3,7,6]=>[3,2,6,5,4,1,7]=>[4,3,2,5,6,1,7] [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,4,6,3,7]=>[3,2,6,5,7,4,1]=>[4,3,2,7,6,5,1] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,4,6,7,3]=>[3,2,6,5,7,1,4]=>[7,3,2,1,6,5,4] [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,4,7,6,3]=>[3,2,6,5,1,4,7]=>[5,3,2,1,6,4,7] [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,5,6,4,3,7]=>[3,2,6,7,5,4,1]=>[4,3,2,5,7,6,1] [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,5,6,4,7,3]=>[3,2,6,7,5,1,4]=>[5,3,2,1,7,6,4] [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,4,3]=>[3,2,6,7,1,4,5]=>[7,3,2,1,4,6,5] [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,5,7,6,4,3]=>[3,2,6,1,4,5,7]=>[6,3,2,1,4,5,7] [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,5,4,3,7]=>[3,2,7,6,5,4,1]=>[4,3,2,5,6,7,1] [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,5,4,7,3]=>[3,2,7,6,5,1,4]=>[5,3,2,1,6,7,4] [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,6,5,7,4,3]=>[3,2,7,6,1,4,5]=>[6,3,2,1,4,7,5] [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,6,7,5,4,3]=>[3,2,7,1,4,5,6]=>[7,3,2,1,4,5,6] [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,6,5,4,3]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7] [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>[3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1] [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,7,6]=>[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,7]=>[3,4,2,5,7,6,1]=>[6,4,3,2,5,7,1] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,6,7,5]=>[3,4,2,5,7,1,6]=>[7,4,3,2,5,1,6] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,6,5]=>[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7] [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,4,6,7]=>[3,4,2,6,5,7,1]=>[7,4,3,2,6,5,1] [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6]=>[3,4,2,6,5,1,7]=>[5,4,3,2,6,1,7] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1,5,6,4,7]=>[3,4,2,6,7,5,1]=>[5,4,3,2,7,6,1] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,4]=>[3,4,2,6,7,1,5]=>[7,4,3,2,1,6,5] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,6,4]=>[3,4,2,6,1,5,7]=>[6,4,3,2,1,5,7] [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,5,4,7]=>[3,4,2,7,6,5,1]=>[5,4,3,2,6,7,1] [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,5,7,4]=>[3,4,2,7,6,1,5]=>[6,4,3,2,1,7,5] [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,6,7,5,4]=>[3,4,2,7,1,5,6]=>[7,4,3,2,1,5,6] [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,6,5,4]=>[3,4,2,1,5,6,7]=>[2,4,3,1,5,6,7] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>[3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,7]=>[3,4,5,2,7,6,1]=>[6,5,3,4,2,7,1] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,7,5]=>[3,4,5,2,7,1,6]=>[7,5,3,4,2,1,6] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,6,5]=>[3,4,5,2,1,6,7]=>[2,5,3,4,1,6,7] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>[3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>[3,4,5,6,2,1,7]=>[2,6,3,4,5,1,7] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>[3,4,5,6,7,2,1]=>[2,7,3,4,5,6,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]=>[3,4,5,6,7,1,2]=>[7,1,3,4,5,6,2] [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,6,1]=>[3,4,5,6,1,2,7]=>[6,1,3,4,5,2,7] [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,5,1,7]=>[3,4,5,7,6,2,1]=>[2,6,3,4,5,7,1] [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,5,7,1]=>[3,4,5,7,6,1,2]=>[6,1,3,4,5,7,2] [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,6,7,5,1]=>[3,4,5,7,1,2,6]=>[7,1,3,4,5,2,6] [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,6,5,1]=>[3,4,5,1,2,6,7]=>[5,1,3,4,2,6,7] [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,4,1,6,7]=>[3,4,6,5,2,7,1]=>[7,5,3,4,6,2,1] [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,4,1,7,6]=>[3,4,6,5,2,1,7]=>[2,5,3,4,6,1,7] [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,4,6,1,7]=>[3,4,6,5,7,2,1]=>[2,7,3,4,6,5,1] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,4,6,7,1]=>[3,4,6,5,7,1,2]=>[7,1,3,4,6,5,2] [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,4,7,6,1]=>[3,4,6,5,1,2,7]=>[5,1,3,4,6,2,7] [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,5,6,4,1,7]=>[3,4,6,7,5,2,1]=>[2,5,3,4,7,6,1] [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,5,6,4,7,1]=>[3,4,6,7,5,1,2]=>[5,1,3,4,7,6,2] [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,4,1]=>[3,4,6,7,1,2,5]=>[7,1,3,4,2,6,5] [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,5,7,6,4,1]=>[3,4,6,1,2,5,7]=>[6,1,3,4,2,5,7] [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,5,4,1,7]=>[3,4,7,6,5,2,1]=>[2,5,3,4,6,7,1] [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,5,4,7,1]=>[3,4,7,6,5,1,2]=>[5,1,3,4,6,7,2] [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,6,5,7,4,1]=>[3,4,7,6,1,2,5]=>[6,1,3,4,2,7,5] [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,6,7,5,4,1]=>[3,4,7,1,2,5,6]=>[7,1,3,4,2,5,6] [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,6,5,4,1]=>[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7] [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7]=>[3,5,4,2,6,7,1]=>[7,4,3,5,2,6,1] [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,3,1,5,7,6]=>[3,5,4,2,6,1,7]=>[6,4,3,5,2,1,7] [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,3,1,6,5,7]=>[3,5,4,2,7,6,1]=>[6,4,3,5,2,7,1] [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,3,1,6,7,5]=>[3,5,4,2,7,1,6]=>[7,4,3,5,2,1,6] [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,3,1,7,6,5]=>[3,5,4,2,1,6,7]=>[2,4,3,5,1,6,7] [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,3,5,1,6,7]=>[3,5,4,6,2,7,1]=>[7,6,3,5,4,2,1] [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,3,5,1,7,6]=>[3,5,4,6,2,1,7]=>[2,6,3,5,4,1,7] [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,1,7]=>[3,5,4,6,7,2,1]=>[2,7,3,5,4,6,1] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,1]=>[3,5,4,6,7,1,2]=>[7,1,3,5,4,6,2] [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,3,5,7,6,1]=>[3,5,4,6,1,2,7]=>[6,1,3,5,4,2,7] [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,3,6,5,1,7]=>[3,5,4,7,6,2,1]=>[2,6,3,5,4,7,1] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,3,6,5,7,1]=>[3,5,4,7,6,1,2]=>[6,1,3,5,4,7,2] [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,3,6,7,5,1]=>[3,5,4,7,1,2,6]=>[7,1,3,5,4,2,6] [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,3,7,6,5,1]=>[3,5,4,1,2,6,7]=>[4,1,3,5,2,6,7] [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,4,5,3,1,6,7]=>[3,5,6,4,2,7,1]=>[7,4,3,6,5,2,1] [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,4,5,3,1,7,6]=>[3,5,6,4,2,1,7]=>[2,4,3,6,5,1,7] [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,4,5,3,6,1,7]=>[3,5,6,4,7,2,1]=>[2,7,3,6,5,4,1] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,3,6,7,1]=>[3,5,6,4,7,1,2]=>[7,1,3,6,5,4,2] [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,4,5,3,7,6,1]=>[3,5,6,4,1,2,7]=>[4,1,3,6,5,2,7] [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,4,5,6,3,1,7]=>[3,5,6,7,4,2,1]=>[2,4,3,7,5,6,1] [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,3,7,1]=>[3,5,6,7,4,1,2]=>[4,1,3,7,5,6,2] [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,3,1]=>[3,5,6,7,1,2,4]=>[7,1,3,2,5,6,4] [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,4,5,7,6,3,1]=>[3,5,6,1,2,4,7]=>[6,1,3,2,5,4,7] [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,4,6,5,3,1,7]=>[3,5,7,6,4,2,1]=>[2,4,3,6,5,7,1] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,4,6,5,3,7,1]=>[3,5,7,6,4,1,2]=>[4,1,3,6,5,7,2] [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,6,5,7,3,1]=>[3,5,7,6,1,2,4]=>[6,1,3,2,5,7,4] [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,6,7,5,3,1]=>[3,5,7,1,2,4,6]=>[7,1,3,2,5,4,6] [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,4,7,6,5,3,1]=>[3,5,1,2,4,6,7]=>[5,1,3,2,4,6,7] [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,4,3,1,6,7]=>[3,6,5,4,2,7,1]=>[7,4,3,5,6,2,1] [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,4,3,1,7,6]=>[3,6,5,4,2,1,7]=>[2,4,3,5,6,1,7] [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,4,3,6,1,7]=>[3,6,5,4,7,2,1]=>[2,7,3,5,6,4,1] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,4,3,6,7,1]=>[3,6,5,4,7,1,2]=>[7,1,3,5,6,4,2] [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,4,3,7,6,1]=>[3,6,5,4,1,2,7]=>[4,1,3,5,6,2,7] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,5,4,6,3,1,7]=>[3,6,5,7,4,2,1]=>[2,4,3,7,6,5,1] [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,5,4,6,3,7,1]=>[3,6,5,7,4,1,2]=>[4,1,3,7,6,5,2] [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,5,4,6,7,3,1]=>[3,6,5,7,1,2,4]=>[7,1,3,2,6,5,4] [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,5,4,7,6,3,1]=>[3,6,5,1,2,4,7]=>[5,1,3,2,6,4,7] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,5,6,4,3,1,7]=>[3,6,7,5,4,2,1]=>[2,4,3,5,7,6,1] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,5,6,4,3,7,1]=>[3,6,7,5,4,1,2]=>[4,1,3,5,7,6,2] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,5,6,4,7,3,1]=>[3,6,7,5,1,2,4]=>[5,1,3,2,7,6,4] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,4,3,1]=>[3,6,7,1,2,4,5]=>[7,1,3,2,4,6,5] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,5,7,6,4,3,1]=>[3,6,1,2,4,5,7]=>[6,1,3,2,4,5,7] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,5,4,3,1,7]=>[3,7,6,5,4,2,1]=>[2,4,3,5,6,7,1] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,5,4,3,7,1]=>[3,7,6,5,4,1,2]=>[4,1,3,5,6,7,2] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,6,5,4,7,3,1]=>[3,7,6,5,1,2,4]=>[5,1,3,2,6,7,4] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,6,5,7,4,3,1]=>[3,7,6,1,2,4,5]=>[6,1,3,2,4,7,5] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,6,7,5,4,3,1]=>[3,7,1,2,4,5,6]=>[7,1,3,2,4,5,6] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,6,5,4,3,1]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7]=>[4,3,2,5,6,7,1]=>[7,3,4,2,5,6,1] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,7,6]=>[4,3,2,5,6,1,7]=>[6,3,4,2,5,1,7] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,6,5,7]=>[4,3,2,5,7,6,1]=>[6,3,4,2,5,7,1] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,6,7,5]=>[4,3,2,5,7,1,6]=>[7,3,4,2,5,1,6] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,7,6,5]=>[4,3,2,5,1,6,7]=>[5,3,4,2,1,6,7] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,5,4,6,7]=>[4,3,2,6,5,7,1]=>[7,3,4,2,6,5,1] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6]=>[4,3,2,6,5,1,7]=>[5,3,4,2,6,1,7] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,2,1,5,6,4,7]=>[4,3,2,6,7,5,1]=>[5,3,4,2,7,6,1] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,4]=>[4,3,2,6,7,1,5]=>[7,3,4,2,1,6,5] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,1,5,7,6,4]=>[4,3,2,6,1,5,7]=>[6,3,4,2,1,5,7] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,2,1,6,5,4,7]=>[4,3,2,7,6,5,1]=>[5,3,4,2,6,7,1] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,2,1,6,5,7,4]=>[4,3,2,7,6,1,5]=>[6,3,4,2,1,7,5] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,2,1,6,7,5,4]=>[4,3,2,7,1,5,6]=>[7,3,4,2,1,5,6] [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,1,7,6,5,4]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,2,4,1,5,7,6]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,2,4,1,6,5,7]=>[4,3,5,2,7,6,1]=>[6,5,4,3,2,7,1] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,2,4,1,6,7,5]=>[4,3,5,2,7,1,6]=>[7,5,4,3,2,1,6] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,1,7,6,5]=>[4,3,5,2,1,6,7]=>[2,5,4,3,1,6,7] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,1,6,7]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,2,4,5,1,7,6]=>[4,3,5,6,2,1,7]=>[2,6,4,3,5,1,7] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,1,7]=>[4,3,5,6,7,2,1]=>[2,7,4,3,5,6,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,1]=>[4,3,5,6,7,1,2]=>[7,1,4,3,5,6,2] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,7,6,1]=>[4,3,5,6,1,2,7]=>[6,1,4,3,5,2,7] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,2,4,6,5,1,7]=>[4,3,5,7,6,2,1]=>[2,6,4,3,5,7,1] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,6,5,7,1]=>[4,3,5,7,6,1,2]=>[6,1,4,3,5,7,2] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,6,7,5,1]=>[4,3,5,7,1,2,6]=>[7,1,4,3,5,2,6] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,2,4,7,6,5,1]=>[4,3,5,1,2,6,7]=>[5,1,4,3,2,6,7] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,5,4,1,6,7]=>[4,3,6,5,2,7,1]=>[7,5,4,3,6,2,1] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,5,4,1,7,6]=>[4,3,6,5,2,1,7]=>[2,5,4,3,6,1,7] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,5,4,6,1,7]=>[4,3,6,5,7,2,1]=>[2,7,4,3,6,5,1] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,5,4,6,7,1]=>[4,3,6,5,7,1,2]=>[7,1,4,3,6,5,2] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,7,6,1]=>[4,3,6,5,1,2,7]=>[5,1,4,3,6,2,7] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,5,6,4,1,7]=>[4,3,6,7,5,2,1]=>[2,5,4,3,7,6,1] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,5,6,4,7,1]=>[4,3,6,7,5,1,2]=>[5,1,4,3,7,6,2] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,5,6,7,4,1]=>[4,3,6,7,1,2,5]=>[7,1,4,3,2,6,5] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,5,7,6,4,1]=>[4,3,6,1,2,5,7]=>[6,1,4,3,2,5,7] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,2,6,5,4,1,7]=>[4,3,7,6,5,2,1]=>[2,5,4,3,6,7,1] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,2,6,5,4,7,1]=>[4,3,7,6,5,1,2]=>[5,1,4,3,6,7,2] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,2,6,5,7,4,1]=>[4,3,7,6,1,2,5]=>[6,1,4,3,2,7,5] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,2,6,7,5,4,1]=>[4,3,7,1,2,5,6]=>[7,1,4,3,2,5,6] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,2,7,6,5,4,1]=>[4,3,1,2,5,6,7]=>[3,1,4,2,5,6,7] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,2,1,5,6,7]=>[4,5,3,2,6,7,1]=>[7,3,5,4,2,6,1] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,4,2,1,5,7,6]=>[4,5,3,2,6,1,7]=>[6,3,5,4,2,1,7] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,4,2,1,6,5,7]=>[4,5,3,2,7,6,1]=>[6,3,5,4,2,7,1] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,2,1,6,7,5]=>[4,5,3,2,7,1,6]=>[7,3,5,4,2,1,6] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,2,1,7,6,5]=>[4,5,3,2,1,6,7]=>[2,3,5,4,1,6,7] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,2,5,1,6,7]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,2,5,1,7,6]=>[4,5,3,6,2,1,7]=>[2,6,5,4,3,1,7] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,2,5,6,1,7]=>[4,5,3,6,7,2,1]=>[2,7,5,4,3,6,1] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,2,5,6,7,1]=>[4,5,3,6,7,1,2]=>[7,1,5,4,3,6,2] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,4,2,5,7,6,1]=>[4,5,3,6,1,2,7]=>[6,1,5,4,3,2,7] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,4,2,6,5,1,7]=>[4,5,3,7,6,2,1]=>[2,6,5,4,3,7,1] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,2,6,5,7,1]=>[4,5,3,7,6,1,2]=>[6,1,5,4,3,7,2] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,4,2,6,7,5,1]=>[4,5,3,7,1,2,6]=>[7,1,5,4,3,2,6] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,4,2,7,6,5,1]=>[4,5,3,1,2,6,7]=>[3,1,5,4,2,6,7] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,2,1,6,7]=>[4,5,6,3,2,7,1]=>[7,3,6,4,5,2,1] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,2,1,7,6]=>[4,5,6,3,2,1,7]=>[2,3,6,4,5,1,7] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,2,6,1,7]=>[4,5,6,3,7,2,1]=>[2,7,6,4,5,3,1] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,2,6,7,1]=>[4,5,6,3,7,1,2]=>[7,1,6,4,5,3,2] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,4,5,2,7,6,1]=>[4,5,6,3,1,2,7]=>[3,1,6,4,5,2,7] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,2,1,7]=>[4,5,6,7,3,2,1]=>[2,3,7,4,5,6,1] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,2,7,1]=>[4,5,6,7,3,1,2]=>[3,1,7,4,5,6,2] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,2,1]=>[4,5,6,7,1,2,3]=>[7,1,2,4,5,6,3] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,7,6,2,1]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,4,6,5,2,1,7]=>[4,5,7,6,3,2,1]=>[2,3,6,4,5,7,1] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,4,6,5,2,7,1]=>[4,5,7,6,3,1,2]=>[3,1,6,4,5,7,2] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,4,6,5,7,2,1]=>[4,5,7,6,1,2,3]=>[6,1,2,4,5,7,3] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,4,6,7,5,2,1]=>[4,5,7,1,2,3,6]=>[7,1,2,4,5,3,6] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,7,6,5,2,1]=>[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,5,4,2,1,6,7]=>[4,6,5,3,2,7,1]=>[7,3,5,4,6,2,1] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,5,4,2,1,7,6]=>[4,6,5,3,2,1,7]=>[2,3,5,4,6,1,7] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,5,4,2,6,1,7]=>[4,6,5,3,7,2,1]=>[2,7,5,4,6,3,1] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,5,4,2,6,7,1]=>[4,6,5,3,7,1,2]=>[7,1,5,4,6,3,2] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,5,4,2,7,6,1]=>[4,6,5,3,1,2,7]=>[3,1,5,4,6,2,7] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,5,4,6,2,1,7]=>[4,6,5,7,3,2,1]=>[2,3,7,4,6,5,1] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,5,4,6,2,7,1]=>[4,6,5,7,3,1,2]=>[3,1,7,4,6,5,2] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,5,4,6,7,2,1]=>[4,6,5,7,1,2,3]=>[7,1,2,4,6,5,3] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,5,4,7,6,2,1]=>[4,6,5,1,2,3,7]=>[5,1,2,4,6,3,7] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,5,6,4,2,1,7]=>[4,6,7,5,3,2,1]=>[2,3,5,4,7,6,1] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,5,6,4,2,7,1]=>[4,6,7,5,3,1,2]=>[3,1,5,4,7,6,2] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,5,6,4,7,2,1]=>[4,6,7,5,1,2,3]=>[5,1,2,4,7,6,3] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,4,2,1]=>[4,6,7,1,2,3,5]=>[7,1,2,4,3,6,5] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,5,7,6,4,2,1]=>[4,6,1,2,3,5,7]=>[6,1,2,4,3,5,7] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,6,5,4,2,1,7]=>[4,7,6,5,3,2,1]=>[2,3,5,4,6,7,1] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,6,5,4,2,7,1]=>[4,7,6,5,3,1,2]=>[3,1,5,4,6,7,2] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,6,5,4,7,2,1]=>[4,7,6,5,1,2,3]=>[5,1,2,4,6,7,3] [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,6,5,7,4,2,1]=>[4,7,6,1,2,3,5]=>[6,1,2,4,3,7,5] [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,6,7,5,4,2,1]=>[4,7,1,2,3,5,6]=>[7,1,2,4,3,5,6] [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,7,6,5,4,2,1]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7] [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7]=>[5,4,3,2,6,7,1]=>[7,3,4,5,2,6,1] [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,3,2,1,5,7,6]=>[5,4,3,2,6,1,7]=>[6,3,4,5,2,1,7] [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,3,2,1,6,5,7]=>[5,4,3,2,7,6,1]=>[6,3,4,5,2,7,1] [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,3,2,1,6,7,5]=>[5,4,3,2,7,1,6]=>[7,3,4,5,2,1,6] [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3,2,1,7,6,5]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7] [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,3,2,5,1,6,7]=>[5,4,3,6,2,7,1]=>[7,6,4,5,3,2,1] [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,3,2,5,1,7,6]=>[5,4,3,6,2,1,7]=>[2,6,4,5,3,1,7] [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,1,7]=>[5,4,3,6,7,2,1]=>[2,7,4,5,3,6,1] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,1]=>[5,4,3,6,7,1,2]=>[7,1,4,5,3,6,2] [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,3,2,5,7,6,1]=>[5,4,3,6,1,2,7]=>[6,1,4,5,3,2,7] [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,3,2,6,5,1,7]=>[5,4,3,7,6,2,1]=>[2,6,4,5,3,7,1] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,3,2,6,5,7,1]=>[5,4,3,7,6,1,2]=>[6,1,4,5,3,7,2] [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,3,2,6,7,5,1]=>[5,4,3,7,1,2,6]=>[7,1,4,5,3,2,6] [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3,2,7,6,5,1]=>[5,4,3,1,2,6,7]=>[3,1,4,5,2,6,7] [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,3,5,2,1,6,7]=>[5,4,6,3,2,7,1]=>[7,3,6,5,4,2,1] [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,3,5,2,1,7,6]=>[5,4,6,3,2,1,7]=>[2,3,6,5,4,1,7] [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,3,5,2,6,1,7]=>[5,4,6,3,7,2,1]=>[2,7,6,5,4,3,1] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,3,5,2,6,7,1]=>[5,4,6,3,7,1,2]=>[7,1,6,5,4,3,2] [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,3,5,2,7,6,1]=>[5,4,6,3,1,2,7]=>[3,1,6,5,4,2,7] [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,3,5,6,2,1,7]=>[5,4,6,7,3,2,1]=>[2,3,7,5,4,6,1] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,3,5,6,2,7,1]=>[5,4,6,7,3,1,2]=>[3,1,7,5,4,6,2] [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,3,5,6,7,2,1]=>[5,4,6,7,1,2,3]=>[7,1,2,5,4,6,3] [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,3,5,7,6,2,1]=>[5,4,6,1,2,3,7]=>[6,1,2,5,4,3,7] [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,3,6,5,2,1,7]=>[5,4,7,6,3,2,1]=>[2,3,6,5,4,7,1] [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,3,6,5,2,7,1]=>[5,4,7,6,3,1,2]=>[3,1,6,5,4,7,2] [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,3,6,5,7,2,1]=>[5,4,7,6,1,2,3]=>[6,1,2,5,4,7,3] [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,3,6,7,5,2,1]=>[5,4,7,1,2,3,6]=>[7,1,2,5,4,3,6] [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3,7,6,5,2,1]=>[5,4,1,2,3,6,7]=>[4,1,2,5,3,6,7] [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,3,2,1,6,7]=>[5,6,4,3,2,7,1]=>[7,3,4,6,5,2,1] [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,3,2,1,7,6]=>[5,6,4,3,2,1,7]=>[2,3,4,6,5,1,7] [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,5,3,2,6,1,7]=>[5,6,4,3,7,2,1]=>[2,7,4,6,5,3,1] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,5,3,2,6,7,1]=>[5,6,4,3,7,1,2]=>[7,1,4,6,5,3,2] [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,3,2,7,6,1]=>[5,6,4,3,1,2,7]=>[3,1,4,6,5,2,7] [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,5,3,6,2,1,7]=>[5,6,4,7,3,2,1]=>[2,3,7,6,5,4,1] [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,3,6,2,7,1]=>[5,6,4,7,3,1,2]=>[3,1,7,6,5,4,2] [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,5,3,6,7,2,1]=>[5,6,4,7,1,2,3]=>[7,1,2,6,5,4,3] [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,3,7,6,2,1]=>[5,6,4,1,2,3,7]=>[4,1,2,6,5,3,7] [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,3,2,1,7]=>[5,6,7,4,3,2,1]=>[2,3,4,7,5,6,1] [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,3,2,7,1]=>[5,6,7,4,3,1,2]=>[3,1,4,7,5,6,2] [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,3,7,2,1]=>[5,6,7,4,1,2,3]=>[4,1,2,7,5,6,3] [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,3,2,1]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4] [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,7,6,3,2,1]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7] [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,6,5,3,2,1,7]=>[5,7,6,4,3,2,1]=>[2,3,4,6,5,7,1] [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,6,5,3,2,7,1]=>[5,7,6,4,3,1,2]=>[3,1,4,6,5,7,2] [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,6,5,3,7,2,1]=>[5,7,6,4,1,2,3]=>[4,1,2,6,5,7,3] [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,6,5,7,3,2,1]=>[5,7,6,1,2,3,4]=>[6,1,2,3,5,7,4] [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,6,7,5,3,2,1]=>[5,7,1,2,3,4,6]=>[7,1,2,3,5,4,6] [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,7,6,5,3,2,1]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7] [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,4,3,2,1,6,7]=>[6,5,4,3,2,7,1]=>[7,3,4,5,6,2,1] [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,4,3,2,1,7,6]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7] [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,4,3,2,6,1,7]=>[6,5,4,3,7,2,1]=>[2,7,4,5,6,3,1] [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,4,3,2,6,7,1]=>[6,5,4,3,7,1,2]=>[7,1,4,5,6,3,2] [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,4,3,2,7,6,1]=>[6,5,4,3,1,2,7]=>[3,1,4,5,6,2,7] [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,4,3,6,2,1,7]=>[6,5,4,7,3,2,1]=>[2,3,7,5,6,4,1] [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,4,3,6,2,7,1]=>[6,5,4,7,3,1,2]=>[3,1,7,5,6,4,2] [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,4,3,6,7,2,1]=>[6,5,4,7,1,2,3]=>[7,1,2,5,6,4,3] [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,4,3,7,6,2,1]=>[6,5,4,1,2,3,7]=>[4,1,2,5,6,3,7] [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,4,6,3,2,1,7]=>[6,5,7,4,3,2,1]=>[2,3,4,7,6,5,1] [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,4,6,3,2,7,1]=>[6,5,7,4,3,1,2]=>[3,1,4,7,6,5,2] [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,4,6,3,7,2,1]=>[6,5,7,4,1,2,3]=>[4,1,2,7,6,5,3] [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,6,7,3,2,1]=>[6,5,7,1,2,3,4]=>[7,1,2,3,6,5,4] [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,4,7,6,3,2,1]=>[6,5,1,2,3,4,7]=>[5,1,2,3,6,4,7] [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,6,4,3,2,1,7]=>[6,7,5,4,3,2,1]=>[2,3,4,5,7,6,1] [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,6,4,3,2,7,1]=>[6,7,5,4,3,1,2]=>[3,1,4,5,7,6,2] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,6,4,3,7,2,1]=>[6,7,5,4,1,2,3]=>[4,1,2,5,7,6,3] [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,6,4,7,3,2,1]=>[6,7,5,1,2,3,4]=>[5,1,2,3,7,6,4] [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,4,3,2,1]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5] [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,7,6,4,3,2,1]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7] [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1] [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,5,4,3,2,7,1]=>[7,6,5,4,3,1,2]=>[3,1,4,5,6,7,2] [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,5,4,3,7,2,1]=>[7,6,5,4,1,2,3]=>[4,1,2,5,6,7,3] [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,5,4,7,3,2,1]=>[7,6,5,1,2,3,4]=>[5,1,2,3,6,7,4] [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,5,7,4,3,2,1]=>[7,6,1,2,3,4,5]=>[6,1,2,3,4,7,5] [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,7,5,4,3,2,1]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6] [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,6,8,7,1]=>[7,2,3,4,5,6,8,1] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,6,5,7,8]=>[2,3,4,5,7,6,8,1]=>[8,2,3,4,5,7,6,1] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,4,7,6,5,8]=>[2,3,4,5,8,7,6,1]=>[6,2,3,4,5,7,8,1] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,7,6,8,5]=>[2,3,4,5,8,7,1,6]=>[7,2,3,4,5,1,8,6] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,7,8,6,5]=>[2,3,4,5,8,1,6,7]=>[8,2,3,4,5,1,6,7] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,8,7,6,5]=>[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8]=>[2,3,4,6,5,7,8,1]=>[8,2,3,4,6,5,7,1] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,8]=>[2,3,4,6,5,8,7,1]=>[7,2,3,4,6,5,8,1] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,3,5,4,7,8,6]=>[2,3,4,6,5,8,1,7]=>[8,2,3,4,6,5,1,7] [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,3,5,6,7,4,8]=>[2,3,4,6,7,8,5,1]=>[5,2,3,4,8,6,7,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,4]=>[2,3,4,6,7,8,1,5]=>[8,2,3,4,1,6,7,5] [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,3,5,7,6,8,4]=>[2,3,4,6,8,7,1,5]=>[7,2,3,4,1,6,8,5] [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,3,6,5,4,8,7]=>[2,3,4,7,6,5,1,8]=>[5,2,3,4,6,7,1,8] [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,6,5,8,7,4]=>[2,3,4,7,6,1,5,8]=>[6,2,3,4,1,7,5,8] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,6,7,8,5,4]=>[2,3,4,7,8,1,5,6]=>[8,2,3,4,1,5,7,6] [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,6,8,7,5,4]=>[2,3,4,7,1,5,6,8]=>[7,2,3,4,1,5,6,8] [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,3,7,6,5,4,8]=>[2,3,4,8,7,6,5,1]=>[5,2,3,4,6,7,8,1] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,3,7,6,5,8,4]=>[2,3,4,8,7,6,1,5]=>[6,2,3,4,1,7,8,5] [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,3,7,6,8,5,4]=>[2,3,4,8,7,1,5,6]=>[7,2,3,4,1,5,8,6] [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,3,7,8,6,5,4]=>[2,3,4,8,1,5,6,7]=>[8,2,3,4,1,5,6,7] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,8,7,6,5,4]=>[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8]=>[2,3,5,4,6,7,8,1]=>[8,2,3,5,4,6,7,1] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,5,7,8]=>[2,3,5,4,7,6,8,1]=>[8,2,3,5,4,7,6,1] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,3,8,7,6,5]=>[2,3,5,4,1,6,7,8]=>[4,2,3,5,1,6,7,8] [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,4,5,7,8,6,3]=>[2,3,5,6,8,1,4,7]=>[8,2,3,1,5,6,4,7] [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,2,4,6,8,7,5,3]=>[2,3,5,7,1,4,6,8]=>[7,2,3,1,5,4,6,8] [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,4,7,8,6,5,3]=>[2,3,5,8,1,4,6,7]=>[8,2,3,1,5,4,6,7] [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,5,4,3,7,8,6]=>[2,3,6,5,4,8,1,7]=>[8,2,3,5,6,4,1,7] [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,2,5,4,7,8,6,3]=>[2,3,6,5,8,1,4,7]=>[8,2,3,1,6,5,4,7] [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,2,5,6,7,4,3,8]=>[2,3,6,7,8,5,4,1]=>[4,2,3,5,8,6,7,1] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,8,4,3]=>[2,3,6,7,8,1,4,5]=>[8,2,3,1,4,6,7,5] [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,2,5,7,6,4,8,3]=>[2,3,6,8,7,5,1,4]=>[5,2,3,1,7,6,8,4] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,6,5,4,3,7,8]=>[2,3,7,6,5,4,8,1]=>[8,2,3,5,6,7,4,1] [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,6,5,4,7,8,3]=>[2,3,7,6,5,8,1,4]=>[8,2,3,1,6,7,5,4] [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,6,7,8,5,4,3]=>[2,3,7,8,1,4,5,6]=>[8,2,3,1,4,5,7,6] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,8,7,6,5,4,3]=>[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[8,2,4,3,5,6,7,1] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,7,6,8]=>[2,4,3,5,6,8,7,1]=>[7,2,4,3,5,6,8,1] [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,6,5,7,8]=>[2,4,3,5,7,6,8,1]=>[8,2,4,3,5,7,6,1] [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,2,4,6,7,8,5]=>[2,4,3,5,7,8,1,6]=>[8,2,4,3,5,1,7,6] [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,3,2,4,7,6,5,8]=>[2,4,3,5,8,7,6,1]=>[6,2,4,3,5,7,8,1] [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,8,7,6,5]=>[2,4,3,5,1,6,7,8]=>[5,2,4,3,1,6,7,8] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8]=>[2,4,3,6,5,7,8,1]=>[8,2,4,3,6,5,7,1] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,8]=>[2,4,3,6,5,8,7,1]=>[7,2,4,3,6,5,8,1] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,8,6]=>[2,4,3,6,5,8,1,7]=>[8,2,4,3,6,5,1,7] [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,2,5,7,6,4,8]=>[2,4,3,6,8,7,5,1]=>[5,2,4,3,7,6,8,1] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,6,8,4]=>[2,4,3,6,8,7,1,5]=>[7,2,4,3,1,6,8,5] [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,2,5,7,8,6,4]=>[2,4,3,6,8,1,5,7]=>[8,2,4,3,1,6,5,7] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,8,7,6,5,4]=>[2,4,3,1,5,6,7,8]=>[3,2,4,1,5,6,7,8] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8]=>[2,4,5,3,6,7,8,1]=>[8,2,5,4,3,6,7,1] [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,4,2,7,6,8,5]=>[2,4,5,3,8,7,1,6]=>[7,2,5,4,3,1,8,6] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,4,2,8,7,6,5]=>[2,4,5,3,1,6,7,8]=>[3,2,5,4,1,6,7,8] [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,5,2,8,7,6]=>[2,4,5,6,3,1,7,8]=>[3,2,6,4,5,1,7,8] [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,8,7,6,2]=>[2,4,5,6,1,3,7,8]=>[6,2,1,4,5,3,7,8] [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,4,6,7,8,5,2]=>[2,4,5,7,8,1,3,6]=>[8,2,1,4,5,3,7,6] [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,4,7,6,5,8,2]=>[2,4,5,8,7,6,1,3]=>[6,2,1,4,5,7,8,3] [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,4,7,6,8,5,2]=>[2,4,5,8,7,1,3,6]=>[7,2,1,4,5,3,8,6] [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,3,5,4,2,7,6,8]=>[2,4,6,5,3,8,7,1]=>[7,2,5,4,6,3,8,1] [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,3,5,4,2,7,8,6]=>[2,4,6,5,3,8,1,7]=>[8,2,5,4,6,3,1,7] [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,3,5,4,7,6,2,8]=>[2,4,6,5,8,7,3,1]=>[3,2,7,4,6,5,8,1] [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,5,4,7,6,8,2]=>[2,4,6,5,8,7,1,3]=>[7,2,1,4,6,5,8,3] [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,5,4,7,8,6,2]=>[2,4,6,5,8,1,3,7]=>[8,2,1,4,6,5,3,7] [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,3,5,6,7,4,2,8]=>[2,4,6,7,8,5,3,1]=>[3,2,5,4,8,6,7,1] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,8,4,2]=>[2,4,6,7,8,1,3,5]=>[8,2,1,4,3,6,7,5] [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,3,5,7,6,4,2,8]=>[2,4,6,8,7,5,3,1]=>[3,2,5,4,7,6,8,1] [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,5,7,6,4,8,2]=>[2,4,6,8,7,5,1,3]=>[5,2,1,4,7,6,8,3] [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,5,7,6,8,4,2]=>[2,4,6,8,7,1,3,5]=>[7,2,1,4,3,6,8,5] [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,5,7,8,6,4,2]=>[2,4,6,8,1,3,5,7]=>[8,2,1,4,3,6,5,7] [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,3,6,5,4,7,2,8]=>[2,4,7,6,5,8,3,1]=>[3,2,8,4,6,7,5,1] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,8,7,6,5,4,2]=>[2,4,1,3,5,6,7,8]=>[4,2,1,3,5,6,7,8] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8]=>[2,5,4,3,6,7,8,1]=>[8,2,4,5,3,6,7,1] [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,4,3,2,5,6,8,7]=>[2,5,4,3,6,7,1,8]=>[7,2,4,5,3,6,1,8] [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,4,3,2,5,7,6,8]=>[2,5,4,3,6,8,7,1]=>[7,2,4,5,3,6,8,1] [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,4,3,2,5,7,8,6]=>[2,5,4,3,6,8,1,7]=>[8,2,4,5,3,6,1,7] [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,4,3,2,6,7,5,8]=>[2,5,4,3,7,8,6,1]=>[6,2,4,5,3,8,7,1] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,7,6,5,8]=>[2,5,4,3,8,7,6,1]=>[6,2,4,5,3,7,8,1] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,4,3,2,8,7,6,5]=>[2,5,4,3,1,6,7,8]=>[3,2,4,5,1,6,7,8] [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,3,5,8,7,6,2]=>[2,5,4,6,1,3,7,8]=>[6,2,1,5,4,3,7,8] [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,4,3,6,5,2,7,8]=>[2,5,4,7,6,3,8,1]=>[8,2,6,5,4,7,3,1] [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,3,6,5,7,8,2]=>[2,5,4,7,6,8,1,3]=>[8,2,1,5,4,7,6,3] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,8,7,2]=>[2,5,4,7,6,1,3,8]=>[6,2,1,5,4,7,3,8] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,3,8,7,6,5,2]=>[2,5,4,1,3,6,7,8]=>[4,2,1,5,3,6,7,8] [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,4,7,6,5,8,3,2]=>[2,5,8,7,6,1,3,4]=>[6,2,1,3,5,7,8,4] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,4,8,7,6,5,3,2]=>[2,5,1,3,4,6,7,8]=>[5,2,1,3,4,6,7,8] [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,5,4,3,6,7,2,8]=>[2,6,5,4,7,8,3,1]=>[3,2,8,5,6,4,7,1] [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,4,3,6,8,7,2]=>[2,6,5,4,7,1,3,8]=>[7,2,1,5,6,4,3,8] [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,5,4,3,8,7,6,2]=>[2,6,5,4,1,3,7,8]=>[4,2,1,5,6,3,7,8] [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,5,4,6,8,7,3,2]=>[2,6,5,7,1,3,4,8]=>[7,2,1,3,6,5,4,8] [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,5,4,7,8,6,3,2]=>[2,6,5,8,1,3,4,7]=>[8,2,1,3,6,5,4,7] [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,8,4,3,2]=>[2,6,7,8,1,3,4,5]=>[8,2,1,3,4,6,7,5] [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,6,5,4,7,8,3,2]=>[2,7,6,5,8,1,3,4]=>[8,2,1,3,6,7,5,4] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,6,7,8,5,4,3,2]=>[2,7,8,1,3,4,5,6]=>[8,2,1,3,4,5,7,6] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,7,6,5,8,4,3,2]=>[2,8,7,6,1,3,4,5]=>[6,2,1,3,4,7,8,5] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,7,8,6,5,4,3,2]=>[2,8,1,3,4,5,6,7]=>[8,2,1,3,4,5,6,7] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,7,6,5,4,3,2]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[8,3,2,4,5,6,7,1] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,4,6,5,7,8]=>[3,2,4,5,7,6,8,1]=>[8,3,2,4,5,7,6,1] [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,4,6,7,8,5]=>[3,2,4,5,7,8,1,6]=>[8,3,2,4,5,1,7,6] [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,4,7,6,8,5]=>[3,2,4,5,8,7,1,6]=>[7,3,2,4,5,1,8,6] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,8,7,6,5]=>[3,2,4,5,1,6,7,8]=>[5,3,2,4,1,6,7,8] [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,3,7,8,6,5,4]=>[3,2,4,8,1,5,6,7]=>[8,3,2,4,1,5,6,7] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,8,7,6,5,4]=>[3,2,4,1,5,6,7,8]=>[4,3,2,1,5,6,7,8] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8]=>[3,2,5,4,6,7,8,1]=>[8,3,2,5,4,6,7,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,5,7,8]=>[3,2,5,4,7,6,8,1]=>[8,3,2,5,4,7,6,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7]=>[3,2,5,4,7,6,1,8]=>[6,3,2,5,4,7,1,8] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,5]=>[3,2,5,4,7,8,1,6]=>[8,3,2,5,4,1,7,6] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,7,5]=>[3,2,5,4,7,1,6,8]=>[7,3,2,5,4,1,6,8] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,8,5]=>[3,2,5,4,8,7,1,6]=>[7,3,2,5,4,1,8,6] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,3,7,8,6,5]=>[3,2,5,4,8,1,6,7]=>[8,3,2,5,4,1,6,7] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,7,6,5]=>[3,2,5,4,1,6,7,8]=>[4,3,2,5,1,6,7,8] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,3]=>[3,2,5,6,7,8,1,4]=>[8,3,2,1,5,6,7,4] [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,4,5,7,8,6,3]=>[3,2,5,6,8,1,4,7]=>[8,3,2,1,5,6,4,7] [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,4,5,8,7,6,3]=>[3,2,5,6,1,4,7,8]=>[6,3,2,1,5,4,7,8] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,7]=>[3,2,5,7,6,4,1,8]=>[4,3,2,6,5,7,1,8] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,6,5,8,7,3]=>[3,2,5,7,6,1,4,8]=>[6,3,2,1,5,7,4,8] [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,1,4,6,7,5,8,3]=>[3,2,5,7,8,6,1,4]=>[6,3,2,1,5,8,7,4] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,6,8,7,5,3]=>[3,2,5,7,1,4,6,8]=>[7,3,2,1,5,4,6,8] [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,4,7,8,6,5,3]=>[3,2,5,8,1,4,6,7]=>[8,3,2,1,5,4,6,7] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4,8,7,6,5,3]=>[3,2,5,1,4,6,7,8]=>[5,3,2,1,4,6,7,8] [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,1,5,4,3,6,8,7]=>[3,2,6,5,4,7,1,8]=>[7,3,2,5,6,4,1,8] [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,5,6,4,3,7,8]=>[3,2,6,7,5,4,8,1]=>[8,3,2,5,7,6,4,1] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,5,6,4,3,8,7]=>[3,2,6,7,5,4,1,8]=>[4,3,2,5,7,6,1,8] [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,1,5,6,4,7,8,3]=>[3,2,6,7,5,8,1,4]=>[8,3,2,1,7,6,5,4] [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,1,5,6,7,4,8,3]=>[3,2,6,7,8,5,1,4]=>[5,3,2,1,8,6,7,4] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,8,4,3]=>[3,2,6,7,8,1,4,5]=>[8,3,2,1,4,6,7,5] [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,5,7,8,6,4,3]=>[3,2,6,8,1,4,5,7]=>[8,3,2,1,4,6,5,7] [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,5,8,7,6,4,3]=>[3,2,6,1,4,5,7,8]=>[6,3,2,1,4,5,7,8] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,5,4,3,8,7]=>[3,2,7,6,5,4,1,8]=>[4,3,2,5,6,7,1,8] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,1,6,7,5,8,4,3]=>[3,2,7,8,6,1,4,5]=>[6,3,2,1,4,8,7,5] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,6,7,8,5,4,3]=>[3,2,7,8,1,4,5,6]=>[8,3,2,1,4,5,7,6] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,7,6,5,8,4,3]=>[3,2,8,7,6,1,4,5]=>[6,3,2,1,4,7,8,5] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,7,6,8,5,4,3]=>[3,2,8,7,1,4,5,6]=>[7,3,2,1,4,5,8,6] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,7,8,6,5,4,3]=>[3,2,8,1,4,5,6,7]=>[8,3,2,1,4,5,6,7] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,7,6,5,4,3]=>[3,2,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[8,4,3,2,5,6,7,1] [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,7,6,8,5]=>[3,4,2,5,8,7,1,6]=>[7,4,3,2,5,1,8,6] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,8,7,6,5]=>[3,4,2,5,1,6,7,8]=>[5,4,3,2,1,6,7,8] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,8]=>[3,4,2,6,5,8,7,1]=>[7,4,3,2,6,5,8,1] [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,8,4]=>[3,4,2,6,7,8,1,5]=>[8,4,3,2,1,6,7,5] [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,3,1,5,7,6,8,4]=>[3,4,2,6,8,7,1,5]=>[7,4,3,2,1,6,8,5] [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,3,1,6,5,4,7,8]=>[3,4,2,7,6,5,8,1]=>[8,4,3,2,6,7,5,1] [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,3,1,6,7,5,4,8]=>[3,4,2,7,8,6,5,1]=>[5,4,3,2,6,8,7,1] [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,1,6,7,8,5,4]=>[3,4,2,7,8,1,5,6]=>[8,4,3,2,1,5,7,6] [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,1,6,8,7,5,4]=>[3,4,2,7,1,5,6,8]=>[7,4,3,2,1,5,6,8] [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,1,8,7,6,5,4]=>[3,4,2,1,5,6,7,8]=>[2,4,3,1,5,6,7,8] [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,4,1,6,8,7,5]=>[3,4,5,2,7,1,6,8]=>[7,5,3,4,2,1,6,8] [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,4,1,7,6,8,5]=>[3,4,5,2,8,7,1,6]=>[7,5,3,4,2,1,8,6] [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,8,7,6,5]=>[3,4,5,2,1,6,7,8]=>[2,5,3,4,1,6,7,8] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8]=>[3,4,5,6,2,7,8,1]=>[8,6,3,4,5,2,7,1] [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,1,8,7,6]=>[3,4,5,6,2,1,7,8]=>[2,6,3,4,5,1,7,8] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,1]=>[3,4,5,6,7,8,1,2]=>[8,1,3,4,5,6,7,2] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,8,7,1]=>[3,4,5,6,7,1,2,8]=>[7,1,3,4,5,6,2,8] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,7,6,8,1]=>[3,4,5,6,8,7,1,2]=>[7,1,3,4,5,6,8,2] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,1]=>[3,4,5,7,6,8,1,2]=>[8,1,3,4,5,7,6,2] [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,4,7,6,5,8,1]=>[3,4,5,8,7,6,1,2]=>[6,1,3,4,5,7,8,2] [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,5,4,6,7,8,1]=>[3,4,6,5,7,8,1,2]=>[8,1,3,4,6,5,7,2] [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,5,4,8,7,6,1]=>[3,4,6,5,1,2,7,8]=>[5,1,3,4,6,2,7,8] [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,3,5,6,7,4,1,8]=>[3,4,6,7,8,5,2,1]=>[2,5,3,4,8,6,7,1] [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,8,4,1]=>[3,4,6,7,8,1,2,5]=>[8,1,3,4,2,6,7,5] [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,5,7,6,4,8,1]=>[3,4,6,8,7,5,1,2]=>[5,1,3,4,7,6,8,2] [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,6,5,4,1,7,8]=>[3,4,7,6,5,2,8,1]=>[8,5,3,4,6,7,2,1] [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,6,5,4,1,8,7]=>[3,4,7,6,5,2,1,8]=>[2,5,3,4,6,7,1,8] [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,3,7,6,5,4,1,8]=>[3,4,8,7,6,5,2,1]=>[2,5,3,4,6,7,8,1] [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,7,6,5,4,8,1]=>[3,4,8,7,6,5,1,2]=>[5,1,3,4,6,7,8,2] [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,7,6,5,8,4,1]=>[3,4,8,7,6,1,2,5]=>[6,1,3,4,2,7,8,5] [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,8,7,6,5,4,1]=>[3,4,1,2,5,6,7,8]=>[4,1,3,2,5,6,7,8] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8]=>[3,5,4,2,6,7,8,1]=>[8,4,3,5,2,6,7,1] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,7]=>[3,5,4,2,7,6,1,8]=>[6,4,3,5,2,7,1,8] [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,4,3,1,6,7,8,5]=>[3,5,4,2,7,8,1,6]=>[8,4,3,5,2,1,7,6] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,1,6,8,7,5]=>[3,5,4,2,7,1,6,8]=>[7,4,3,5,2,1,6,8] [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,3,1,7,6,8,5]=>[3,5,4,2,8,7,1,6]=>[7,4,3,5,2,1,8,6] [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,3,1,8,7,6,5]=>[3,5,4,2,1,6,7,8]=>[2,4,3,5,1,6,7,8] [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[2,4,3,5,1,7,8,6]=>[3,5,4,6,2,8,1,7]=>[8,6,3,5,4,2,1,7] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,8,1]=>[3,5,4,6,7,8,1,2]=>[8,1,3,5,4,6,7,2] [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,6,5,1,8,7]=>[3,5,4,7,6,2,1,8]=>[2,6,3,5,4,7,1,8] [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,6,5,7,8,1]=>[3,5,4,7,6,8,1,2]=>[8,1,3,5,4,7,6,2] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,8,7,1]=>[3,5,4,7,6,1,2,8]=>[6,1,3,5,4,7,2,8] [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,4,3,6,8,7,5,1]=>[3,5,4,7,1,2,6,8]=>[7,1,3,5,4,2,6,8] [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,4,3,7,6,5,8,1]=>[3,5,4,8,7,6,1,2]=>[6,1,3,5,4,7,8,2] [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,4,3,8,7,6,5,1]=>[3,5,4,1,2,6,7,8]=>[4,1,3,5,2,6,7,8] [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,4,5,3,1,6,7,8]=>[3,5,6,4,2,7,8,1]=>[8,4,3,6,5,2,7,1] [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[2,4,5,3,1,7,6,8]=>[3,5,6,4,2,8,7,1]=>[7,4,3,6,5,2,8,1] [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,4,5,3,8,7,6,1]=>[3,5,6,4,1,2,7,8]=>[4,1,3,6,5,2,7,8] [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,4,5,6,3,1,7,8]=>[3,5,6,7,4,2,8,1]=>[8,4,3,7,5,6,2,1] [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,7,3,8,1]=>[3,5,6,7,8,4,1,2]=>[4,1,3,8,5,6,7,2] [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[2,4,6,5,3,1,7,8]=>[3,5,7,6,4,2,8,1]=>[8,4,3,6,5,7,2,1] [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,4,6,5,3,1,8,7]=>[3,5,7,6,4,2,1,8]=>[2,4,3,6,5,7,1,8] [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,4,6,5,7,3,8,1]=>[3,5,7,6,8,4,1,2]=>[4,1,3,8,5,7,6,2] [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,4,6,5,8,7,3,1]=>[3,5,7,6,1,2,4,8]=>[6,1,3,2,5,7,4,8] [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[2,4,6,7,5,3,1,8]=>[3,5,7,8,6,4,2,1]=>[2,4,3,6,5,8,7,1] [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,4,6,8,7,5,3,1]=>[3,5,7,1,2,4,6,8]=>[7,1,3,2,5,4,6,8] [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,4,7,6,5,8,3,1]=>[3,5,8,7,6,1,2,4]=>[6,1,3,2,5,7,8,4] [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,4,8,7,6,5,3,1]=>[3,5,1,2,4,6,7,8]=>[5,1,3,2,4,6,7,8] [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,5,4,3,1,6,7,8]=>[3,6,5,4,2,7,8,1]=>[8,4,3,5,6,2,7,1] [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[2,5,4,3,1,6,8,7]=>[3,6,5,4,2,7,1,8]=>[7,4,3,5,6,2,1,8] [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,5,4,3,1,7,6,8]=>[3,6,5,4,2,8,7,1]=>[7,4,3,5,6,2,8,1] [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,5,4,3,1,7,8,6]=>[3,6,5,4,2,8,1,7]=>[8,4,3,5,6,2,1,7] [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,5,4,3,1,8,7,6]=>[3,6,5,4,2,1,7,8]=>[2,4,3,5,6,1,7,8] [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,5,4,3,7,8,6,1]=>[3,6,5,4,8,1,2,7]=>[8,1,3,5,6,4,2,7] [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,5,4,6,3,7,8,1]=>[3,6,5,7,4,8,1,2]=>[8,1,3,7,6,5,4,2] [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,8,4,3,1]=>[3,6,7,8,1,2,4,5]=>[8,1,3,2,4,6,7,5] [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,7,6,5,4,8,3,1]=>[3,8,7,6,5,1,2,4]=>[5,1,3,2,6,7,8,4] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,8,7,6,5,4,3,1]=>[3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8]=>[4,3,2,5,6,7,8,1]=>[8,3,4,2,5,6,7,1] [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,5,7,8,6]=>[4,3,2,5,6,8,1,7]=>[8,3,4,2,5,6,1,7] [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,2,1,4,6,7,8,5]=>[4,3,2,5,7,8,1,6]=>[8,3,4,2,5,1,7,6] [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,2,1,4,6,8,7,5]=>[4,3,2,5,7,1,6,8]=>[7,3,4,2,5,1,6,8] [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,2,1,4,7,6,5,8]=>[4,3,2,5,8,7,6,1]=>[6,3,4,2,5,7,8,1] [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,2,1,4,7,8,6,5]=>[4,3,2,5,8,1,6,7]=>[8,3,4,2,5,1,6,7] [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,2,1,4,8,7,6,5]=>[4,3,2,5,1,6,7,8]=>[5,3,4,2,1,6,7,8] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,7,6,8]=>[4,3,2,6,5,8,7,1]=>[7,3,4,2,6,5,8,1] [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,2,1,5,6,4,7,8]=>[4,3,2,6,7,5,8,1]=>[8,3,4,2,7,6,5,1] [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,8,4]=>[4,3,2,6,7,8,1,5]=>[8,3,4,2,1,6,7,5] [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,2,1,5,6,8,7,4]=>[4,3,2,6,7,1,5,8]=>[7,3,4,2,1,6,5,8] [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,2,1,5,7,6,4,8]=>[4,3,2,6,8,7,5,1]=>[5,3,4,2,7,6,8,1] [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,2,1,5,7,8,6,4]=>[4,3,2,6,8,1,5,7]=>[8,3,4,2,1,6,5,7] [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,1,5,8,7,6,4]=>[4,3,2,6,1,5,7,8]=>[6,3,4,2,1,5,7,8] [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,2,1,6,7,8,5,4]=>[4,3,2,7,8,1,5,6]=>[8,3,4,2,1,5,7,6] [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,2,1,6,8,7,5,4]=>[4,3,2,7,1,5,6,8]=>[7,3,4,2,1,5,6,8] [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,2,1,7,6,5,8,4]=>[4,3,2,8,7,6,1,5]=>[6,3,4,2,1,7,8,5] [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,2,1,7,6,8,5,4]=>[4,3,2,8,7,1,5,6]=>[7,3,4,2,1,5,8,6] [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,1,7,8,6,5,4]=>[4,3,2,8,1,5,6,7]=>[8,3,4,2,1,5,6,7] [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,2,1,8,7,6,5,4]=>[4,3,2,1,5,6,7,8]=>[2,3,4,1,5,6,7,8] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8]=>[4,3,5,2,6,7,8,1]=>[8,5,4,3,2,6,7,1] [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,2,4,1,6,5,7,8]=>[4,3,5,2,7,6,8,1]=>[8,5,4,3,2,7,6,1] [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,2,4,1,7,6,5,8]=>[4,3,5,2,8,7,6,1]=>[6,5,4,3,2,7,8,1] [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,2,4,1,8,7,6,5]=>[4,3,5,2,1,6,7,8]=>[2,5,4,3,1,6,7,8] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,1]=>[4,3,5,6,7,8,1,2]=>[8,1,4,3,5,6,7,2] [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,5,7,6,8,1]=>[4,3,5,6,8,7,1,2]=>[7,1,4,3,5,6,8,2] [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,2,4,6,7,5,1,8]=>[4,3,5,7,8,6,2,1]=>[2,6,4,3,5,8,7,1] [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,2,4,7,6,5,8,1]=>[4,3,5,8,7,6,1,2]=>[6,1,4,3,5,7,8,2] [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,5,4,1,7,6,8]=>[4,3,6,5,2,8,7,1]=>[7,5,4,3,6,2,8,1] [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,5,4,1,7,8,6]=>[4,3,6,5,2,8,1,7]=>[8,5,4,3,6,2,1,7] [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,5,4,1,8,7,6]=>[4,3,6,5,2,1,7,8]=>[2,5,4,3,6,1,7,8] [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,5,4,6,7,8,1]=>[4,3,6,5,7,8,1,2]=>[8,1,4,3,6,5,7,2] [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,7,6,1,8]=>[4,3,6,5,8,7,2,1]=>[2,7,4,3,6,5,8,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,8,1]=>[4,3,6,5,8,7,1,2]=>[7,1,4,3,6,5,8,2] [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,5,6,7,8,4,1]=>[4,3,6,7,8,1,2,5]=>[8,1,4,3,2,6,7,5] [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,5,7,6,8,4,1]=>[4,3,6,8,7,1,2,5]=>[7,1,4,3,2,6,8,5] [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,2,6,7,5,4,8,1]=>[4,3,7,8,6,5,1,2]=>[5,1,4,3,6,8,7,2] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,2,8,7,6,5,4,1]=>[4,3,1,2,5,6,7,8]=>[3,1,4,2,5,6,7,8] [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,4,2,1,5,8,7,6]=>[4,5,3,2,6,1,7,8]=>[6,3,5,4,2,1,7,8] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,4,2,1,6,5,8,7]=>[4,5,3,2,7,6,1,8]=>[6,3,5,4,2,7,1,8] [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,4,2,1,6,8,7,5]=>[4,5,3,2,7,1,6,8]=>[7,3,5,4,2,1,6,8] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,4,2,1,7,8,6,5]=>[4,5,3,2,8,1,6,7]=>[8,3,5,4,2,1,6,7] [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4,2,1,8,7,6,5]=>[4,5,3,2,1,6,7,8]=>[2,3,5,4,1,6,7,8] [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,4,2,5,1,7,8,6]=>[4,5,3,6,2,8,1,7]=>[8,6,5,4,3,2,1,7] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,4,2,5,6,7,8,1]=>[4,5,3,6,7,8,1,2]=>[8,1,5,4,3,6,7,2] [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,4,2,6,5,7,1,8]=>[4,5,3,7,6,8,2,1]=>[2,8,5,4,3,7,6,1] [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,4,2,6,5,7,8,1]=>[4,5,3,7,6,8,1,2]=>[8,1,5,4,3,7,6,2] [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,4,2,7,6,5,8,1]=>[4,5,3,8,7,6,1,2]=>[6,1,5,4,3,7,8,2] [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,5,2,1,7,8,6]=>[4,5,6,3,2,8,1,7]=>[8,3,6,4,5,2,1,7] [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,5,2,1,8,7,6]=>[4,5,6,3,2,1,7,8]=>[2,3,6,4,5,1,7,8] [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,6,2,1,7,8]=>[4,5,6,7,3,2,8,1]=>[8,3,7,4,5,6,2,1] [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,6,2,1,8,7]=>[4,5,6,7,3,2,1,8]=>[2,3,7,4,5,6,1,8] [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,6,2,7,1,8]=>[4,5,6,7,3,8,2,1]=>[2,8,7,4,5,6,3,1] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,6,2,7,8,1]=>[4,5,6,7,3,8,1,2]=>[8,1,7,4,5,6,3,2] [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,4,5,7,8,6,2,1]=>[4,5,6,8,1,2,3,7]=>[8,1,2,4,5,6,3,7] [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,4,6,5,7,8,2,1]=>[4,5,7,6,8,1,2,3]=>[8,1,2,4,5,7,6,3] [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,4,7,6,5,2,1,8]=>[4,5,8,7,6,3,2,1]=>[2,3,6,4,5,7,8,1] [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,4,7,6,5,8,2,1]=>[4,5,8,7,6,1,2,3]=>[6,1,2,4,5,7,8,3] [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,8,7,6,5,2,1]=>[4,5,1,2,3,6,7,8]=>[5,1,2,4,3,6,7,8] [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,5,4,2,1,7,6,8]=>[4,6,5,3,2,8,7,1]=>[7,3,5,4,6,2,8,1] [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[3,5,4,2,1,7,8,6]=>[4,6,5,3,2,8,1,7]=>[8,3,5,4,6,2,1,7] [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[3,5,4,2,6,1,7,8]=>[4,6,5,3,7,2,8,1]=>[8,7,5,4,6,3,2,1] [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,5,4,2,6,7,8,1]=>[4,6,5,3,7,8,1,2]=>[8,1,5,4,6,3,7,2] [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,5,4,7,6,2,1,8]=>[4,6,5,8,7,3,2,1]=>[2,3,7,4,6,5,8,1] [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,5,6,4,2,1,8,7]=>[4,6,7,5,3,2,1,8]=>[2,3,5,4,7,6,1,8] [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[3,5,6,4,7,2,8,1]=>[4,6,7,5,8,3,1,2]=>[3,1,8,4,7,6,5,2] [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[3,5,6,7,4,2,1,8]=>[4,6,7,8,5,3,2,1]=>[2,3,5,4,8,6,7,1] [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,8,4,2,1]=>[4,6,7,8,1,2,3,5]=>[8,1,2,4,3,6,7,5] [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,5,7,6,4,2,1,8]=>[4,6,8,7,5,3,2,1]=>[2,3,5,4,7,6,8,1] [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,5,7,6,4,2,8,1]=>[4,6,8,7,5,3,1,2]=>[3,1,5,4,7,6,8,2] [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,5,7,8,6,4,2,1]=>[4,6,8,1,2,3,5,7]=>[8,1,2,4,3,6,5,7] [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,6,5,4,2,1,7,8]=>[4,7,6,5,3,2,8,1]=>[8,3,5,4,6,7,2,1] [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,6,5,4,2,1,8,7]=>[4,7,6,5,3,2,1,8]=>[2,3,5,4,6,7,1,8] [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,6,5,4,2,7,1,8]=>[4,7,6,5,3,8,2,1]=>[2,8,5,4,6,7,3,1] [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,7,6,5,8,4,2,1]=>[4,8,7,6,1,2,3,5]=>[6,1,2,4,3,7,8,5] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,8,7,6,5,4,2,1]=>[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7,8] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8]=>[5,4,3,2,6,7,8,1]=>[8,3,4,5,2,6,7,1] [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,3,2,1,5,6,8,7]=>[5,4,3,2,6,7,1,8]=>[7,3,4,5,2,6,1,8] [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,3,2,1,5,7,6,8]=>[5,4,3,2,6,8,7,1]=>[7,3,4,5,2,6,8,1] [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,3,2,1,5,7,8,6]=>[5,4,3,2,6,8,1,7]=>[8,3,4,5,2,6,1,7] [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,3,2,1,5,8,7,6]=>[5,4,3,2,6,1,7,8]=>[6,3,4,5,2,1,7,8] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,3,2,1,6,5,7,8]=>[5,4,3,2,7,6,8,1]=>[8,3,4,5,2,7,6,1] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7]=>[5,4,3,2,7,6,1,8]=>[6,3,4,5,2,7,1,8] [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,3,2,1,6,7,5,8]=>[5,4,3,2,7,8,6,1]=>[6,3,4,5,2,8,7,1] [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,3,2,1,6,7,8,5]=>[5,4,3,2,7,8,1,6]=>[8,3,4,5,2,1,7,6] [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,3,2,1,6,8,7,5]=>[5,4,3,2,7,1,6,8]=>[7,3,4,5,2,1,6,8] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,2,1,7,6,5,8]=>[5,4,3,2,8,7,6,1]=>[6,3,4,5,2,7,8,1] [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,2,1,7,6,8,5]=>[5,4,3,2,8,7,1,6]=>[7,3,4,5,2,1,8,6] [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,2,1,7,8,6,5]=>[5,4,3,2,8,1,6,7]=>[8,3,4,5,2,1,6,7] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,8,7,6,5]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8] [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,3,2,5,1,6,7,8]=>[5,4,3,6,2,7,8,1]=>[8,6,4,5,3,2,7,1] [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,3,2,5,1,8,7,6]=>[5,4,3,6,2,1,7,8]=>[2,6,4,5,3,1,7,8] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,1]=>[5,4,3,6,7,8,1,2]=>[8,1,4,5,3,6,7,2] [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,3,2,5,7,6,1,8]=>[5,4,3,6,8,7,2,1]=>[2,7,4,5,3,6,8,1] [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[4,3,2,5,7,6,8,1]=>[5,4,3,6,8,7,1,2]=>[7,1,4,5,3,6,8,2] [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,3,2,5,8,7,6,1]=>[5,4,3,6,1,2,7,8]=>[6,1,4,5,3,2,7,8] [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,3,2,6,5,1,7,8]=>[5,4,3,7,6,2,8,1]=>[8,6,4,5,3,7,2,1] [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[4,3,2,6,5,7,8,1]=>[5,4,3,7,6,8,1,2]=>[8,1,4,5,3,7,6,2] [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,3,2,6,7,5,8,1]=>[5,4,3,7,8,6,1,2]=>[6,1,4,5,3,8,7,2] [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,3,2,6,8,7,5,1]=>[5,4,3,7,1,2,6,8]=>[7,1,4,5,3,2,6,8] [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,2,7,6,5,8,1]=>[5,4,3,8,7,6,1,2]=>[6,1,4,5,3,7,8,2] [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,2,7,8,6,5,1]=>[5,4,3,8,1,2,6,7]=>[8,1,4,5,3,2,6,7] [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,3,2,8,7,6,5,1]=>[5,4,3,1,2,6,7,8]=>[3,1,4,5,2,6,7,8] [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[4,3,5,2,1,6,7,8]=>[5,4,6,3,2,7,8,1]=>[8,3,6,5,4,2,7,1] [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[4,3,5,2,1,8,7,6]=>[5,4,6,3,2,1,7,8]=>[2,3,6,5,4,1,7,8] [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,3,5,2,6,1,8,7]=>[5,4,6,3,7,2,1,8]=>[2,7,6,5,4,3,1,8] [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[4,3,5,2,6,7,8,1]=>[5,4,6,3,7,8,1,2]=>[8,1,6,5,4,3,7,2] [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,3,5,2,7,6,8,1]=>[5,4,6,3,8,7,1,2]=>[7,1,6,5,4,3,8,2] [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,3,5,2,8,7,6,1]=>[5,4,6,3,1,2,7,8]=>[3,1,6,5,4,2,7,8] [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,3,5,6,8,7,2,1]=>[5,4,6,7,1,2,3,8]=>[7,1,2,5,4,6,3,8] [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,3,6,5,2,8,7,1]=>[5,4,7,6,3,1,2,8]=>[3,1,6,5,4,7,2,8] [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,3,6,5,7,2,8,1]=>[5,4,7,6,8,3,1,2]=>[3,1,8,5,4,7,6,2] [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[4,3,6,7,5,2,8,1]=>[5,4,7,8,6,3,1,2]=>[3,1,6,5,4,8,7,2] [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,3,6,7,8,5,2,1]=>[5,4,7,8,1,2,3,6]=>[8,1,2,5,4,3,7,6] [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,7,6,5,2,8,1]=>[5,4,8,7,6,3,1,2]=>[3,1,6,5,4,7,8,2] [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,5,3,2,1,8,7,6]=>[5,6,4,3,2,1,7,8]=>[2,3,4,6,5,1,7,8] [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,5,3,2,8,7,6,1]=>[5,6,4,3,1,2,7,8]=>[3,1,4,6,5,2,7,8] [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[4,5,3,6,2,1,8,7]=>[5,6,4,7,3,2,1,8]=>[2,3,7,6,5,4,1,8] [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,5,3,6,8,7,2,1]=>[5,6,4,7,1,2,3,8]=>[7,1,2,6,5,4,3,8] [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,6,3,2,1,8,7]=>[5,6,7,4,3,2,1,8]=>[2,3,4,7,5,6,1,8] [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,6,3,8,7,2,1]=>[5,6,7,4,1,2,3,8]=>[4,1,2,7,5,6,3,8] [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,7,3,2,1,8]=>[5,6,7,8,4,3,2,1]=>[2,3,4,8,5,6,7,1] [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,7,3,2,8,1]=>[5,6,7,8,4,3,1,2]=>[3,1,4,8,5,6,7,2] [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,7,3,8,2,1]=>[5,6,7,8,4,1,2,3]=>[4,1,2,8,5,6,7,3] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,3,2,1]=>[5,6,7,8,1,2,3,4]=>[8,1,2,3,5,6,7,4] [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,6,8,7,3,2,1]=>[5,6,7,1,2,3,4,8]=>[7,1,2,3,5,6,4,8] [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[4,5,7,6,3,2,1,8]=>[5,6,8,7,4,3,2,1]=>[2,3,4,7,5,6,8,1] [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,5,7,6,8,3,2,1]=>[5,6,8,7,1,2,3,4]=>[7,1,2,3,5,6,8,4] [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,5,7,8,6,3,2,1]=>[5,6,8,1,2,3,4,7]=>[8,1,2,3,5,6,4,7] [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,6,5,3,2,1,8,7]=>[5,7,6,4,3,2,1,8]=>[2,3,4,6,5,7,1,8] [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,6,5,7,3,2,1,8]=>[5,7,6,8,4,3,2,1]=>[2,3,4,8,5,7,6,1] [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,6,5,7,8,3,2,1]=>[5,7,6,8,1,2,3,4]=>[8,1,2,3,5,7,6,4] [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,6,5,8,7,3,2,1]=>[5,7,6,1,2,3,4,8]=>[6,1,2,3,5,7,4,8] [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,6,7,5,3,2,1,8]=>[5,7,8,6,4,3,2,1]=>[2,3,4,6,5,8,7,1] [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,6,7,5,8,3,2,1]=>[5,7,8,6,1,2,3,4]=>[6,1,2,3,5,8,7,4] [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,6,7,8,5,3,2,1]=>[5,7,8,1,2,3,4,6]=>[8,1,2,3,5,4,7,6] [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,6,8,7,5,3,2,1]=>[5,7,1,2,3,4,6,8]=>[7,1,2,3,5,4,6,8] [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,7,6,5,3,2,1,8]=>[5,8,7,6,4,3,2,1]=>[2,3,4,6,5,7,8,1] [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,7,6,5,3,2,8,1]=>[5,8,7,6,4,3,1,2]=>[3,1,4,6,5,7,8,2] [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,7,6,5,3,8,2,1]=>[5,8,7,6,4,1,2,3]=>[4,1,2,6,5,7,8,3] [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,7,6,5,8,3,2,1]=>[5,8,7,6,1,2,3,4]=>[6,1,2,3,5,7,8,4] [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,7,6,8,5,3,2,1]=>[5,8,7,1,2,3,4,6]=>[7,1,2,3,5,4,8,6] [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,7,8,6,5,3,2,1]=>[5,8,1,2,3,4,6,7]=>[8,1,2,3,5,4,6,7] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,8,7,6,5,3,2,1]=>[5,1,2,3,4,6,7,8]=>[5,1,2,3,4,6,7,8] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8]=>[6,5,4,3,2,7,8,1]=>[8,3,4,5,6,2,7,1] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,4,3,2,1,7,6,8]=>[6,5,4,3,2,8,7,1]=>[7,3,4,5,6,2,8,1] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,4,3,2,1,7,8,6]=>[6,5,4,3,2,8,1,7]=>[8,3,4,5,6,2,1,7] [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,4,3,2,6,1,7,8]=>[6,5,4,3,7,2,8,1]=>[8,7,4,5,6,3,2,1] [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,4,3,2,6,1,8,7]=>[6,5,4,3,7,2,1,8]=>[2,7,4,5,6,3,1,8] [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,4,3,2,6,7,1,8]=>[6,5,4,3,7,8,2,1]=>[2,8,4,5,6,3,7,1] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,1]=>[6,5,4,3,7,8,1,2]=>[8,1,4,5,6,3,7,2] [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,4,3,2,6,8,7,1]=>[6,5,4,3,7,1,2,8]=>[7,1,4,5,6,3,2,8] [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,4,3,2,7,6,8,1]=>[6,5,4,3,8,7,1,2]=>[7,1,4,5,6,3,8,2] [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,4,3,2,7,8,6,1]=>[6,5,4,3,8,1,2,7]=>[8,1,4,5,6,3,2,7] [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,4,3,2,8,7,6,1]=>[6,5,4,3,1,2,7,8]=>[3,1,4,5,6,2,7,8] [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,4,3,6,2,1,8,7]=>[6,5,4,7,3,2,1,8]=>[2,3,7,5,6,4,1,8] [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,4,3,6,2,7,8,1]=>[6,5,4,7,3,8,1,2]=>[8,1,7,5,6,4,3,2] [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,4,3,6,7,2,1,8]=>[6,5,4,7,8,3,2,1]=>[2,3,8,5,6,4,7,1] [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,4,3,7,8,6,2,1]=>[6,5,4,8,1,2,3,7]=>[8,1,2,5,6,4,3,7] [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,4,6,3,2,1,8,7]=>[6,5,7,4,3,2,1,8]=>[2,3,4,7,6,5,1,8] [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,4,6,3,7,2,1,8]=>[6,5,7,4,8,3,2,1]=>[2,3,8,7,6,5,4,1] [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,4,6,3,7,2,8,1]=>[6,5,7,4,8,3,1,2]=>[3,1,8,7,6,5,4,2] [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,4,6,7,3,8,2,1]=>[6,5,7,8,4,1,2,3]=>[4,1,2,8,6,5,7,3] [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,4,6,7,8,3,2,1]=>[6,5,7,8,1,2,3,4]=>[8,1,2,3,6,5,7,4] [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,4,7,6,8,3,2,1]=>[6,5,8,7,1,2,3,4]=>[7,1,2,3,6,5,8,4] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,6,4,3,2,1,8,7]=>[6,7,5,4,3,2,1,8]=>[2,3,4,5,7,6,1,8] [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,6,4,7,3,2,1,8]=>[6,7,5,8,4,3,2,1]=>[2,3,4,8,7,6,5,1] [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,6,4,7,8,3,2,1]=>[6,7,5,8,1,2,3,4]=>[8,1,2,3,7,6,5,4] [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,6,7,4,3,2,1,8]=>[6,7,8,5,4,3,2,1]=>[2,3,4,5,8,6,7,1] [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,6,7,4,8,3,2,1]=>[6,7,8,5,1,2,3,4]=>[5,1,2,3,8,6,7,4] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,4,3,2,1]=>[6,7,8,1,2,3,4,5]=>[8,1,2,3,4,6,7,5] [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,6,8,7,4,3,2,1]=>[6,7,1,2,3,4,5,8]=>[7,1,2,3,4,6,5,8] [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,7,6,4,3,2,1,8]=>[6,8,7,5,4,3,2,1]=>[2,3,4,5,7,6,8,1] [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,7,6,4,3,8,2,1]=>[6,8,7,5,4,1,2,3]=>[4,1,2,5,7,6,8,3] [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,7,6,4,8,3,2,1]=>[6,8,7,5,1,2,3,4]=>[5,1,2,3,7,6,8,4] [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,7,6,8,4,3,2,1]=>[6,8,7,1,2,3,4,5]=>[7,1,2,3,4,6,8,5] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,5,4,3,2,1,8,7]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,1]=>[7,6,5,4,3,8,1,2]=>[8,1,4,5,6,7,3,2] [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,5,4,3,7,2,1,8]=>[7,6,5,4,8,3,2,1]=>[2,3,8,5,6,7,4,1] [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,5,4,3,7,8,2,1]=>[7,6,5,4,8,1,2,3]=>[8,1,2,5,6,7,4,3] [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,5,4,7,3,2,1,8]=>[7,6,5,8,4,3,2,1]=>[2,3,4,8,6,7,5,1] [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,5,4,7,8,3,2,1]=>[7,6,5,8,1,2,3,4]=>[8,1,2,3,6,7,5,4] [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,5,7,4,3,2,1,8]=>[7,6,8,5,4,3,2,1]=>[2,3,4,5,8,7,6,1] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,5,7,4,8,3,2,1]=>[7,6,8,5,1,2,3,4]=>[5,1,2,3,8,7,6,4] [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,5,7,8,4,3,2,1]=>[7,6,8,1,2,3,4,5]=>[8,1,2,3,4,7,6,5] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,7,5,4,3,2,1,8]=>[7,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,7,1] [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,7,5,4,8,3,2,1]=>[7,8,6,5,1,2,3,4]=>[5,1,2,3,6,8,7,4] [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,7,5,8,4,3,2,1]=>[7,8,6,1,2,3,4,5]=>[6,1,2,3,4,8,7,5] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,5,4,3,2,1]=>[7,8,1,2,3,4,5,6]=>[8,1,2,3,4,5,7,6] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,8,7,5,4,3,2,1]=>[7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,6,8] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,6,5,4,3,2,1,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,6,5,4,3,8,2,1]=>[8,7,6,5,4,1,2,3]=>[4,1,2,5,6,7,8,3] [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,6,5,4,8,3,2,1]=>[8,7,6,5,1,2,3,4]=>[5,1,2,3,6,7,8,4] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,6,5,8,4,3,2,1]=>[8,7,6,1,2,3,4,5]=>[6,1,2,3,4,7,8,5] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,8,6,5,4,3,2,1]=>[8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
Map
to 312-avoiding permutation
Description
Sends a Dyck path to the 312-avoiding permutation according to Bandlow-Killpatrick.
This map is defined in [1] and sends the area (St000012The area of a Dyck path.) to the inversion number (St000018The number of inversions of a permutation.).
Map
Lehmer code rotation
Description
Sends a permutation $\pi$ to the unique permutation $\tau$ (of the same length) such that every entry in the Lehmer code of $\tau$ is cyclically one larger than the Lehmer code of $\pi$.
Map
Clarke-Steingrimsson-Zeng
Description
The Clarke-Steingrimsson-Zeng map sending descents to excedances.
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$ (des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi), $$
where
  • $des$ is the number of descents, St000021The number of descents of a permutation.,
  • $exc$ is the number of (strict) excedances, St000155The number of exceedances (also excedences) of a permutation.,
  • $Dbot$ is the sum of the descent bottoms, St000154The sum of the descent bottoms of a permutation.,
  • $Ebot$ is the sum of the excedance bottoms,
  • $Ddif$ is the sum of the descent differences, St000030The sum of the descent differences of a permutations.,
  • $Edif$ is the sum of the excedance differences (or depth), St000029The depth of a permutation.,
  • $Res$ is the sum of the (right) embracing numbers,
  • $Ine$ is the sum of the side numbers.