Identifier
Mp00031: Dyck paths to 312-avoiding permutationPermutations
Mp00159: Permutations Demazure product with inversePermutations
Mp00087: Permutations inverse first fundamental transformationPermutations
Mp00238: Permutations Clarke-Steingrimsson-ZengPermutations
Images
=>
Cc0005;cc-rep-0
[1,0]=>[1]=>[1]=>[1]=>[1] [1,0,1,0]=>[1,2]=>[1,2]=>[1,2]=>[1,2] [1,1,0,0]=>[2,1]=>[2,1]=>[2,1]=>[2,1] [1,0,1,0,1,0]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>[1,2,3] [1,0,1,1,0,0]=>[1,3,2]=>[1,3,2]=>[1,3,2]=>[1,3,2] [1,1,0,0,1,0]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>[2,1,3] [1,1,0,1,0,0]=>[2,3,1]=>[3,2,1]=>[2,3,1]=>[3,2,1] [1,1,1,0,0,0]=>[3,2,1]=>[3,2,1]=>[2,3,1]=>[3,2,1] [1,0,1,0,1,0,1,0]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4] [1,0,1,0,1,1,0,0]=>[1,2,4,3]=>[1,2,4,3]=>[1,2,4,3]=>[1,2,4,3] [1,0,1,1,0,0,1,0]=>[1,3,2,4]=>[1,3,2,4]=>[1,3,2,4]=>[1,3,2,4] [1,0,1,1,0,1,0,0]=>[1,3,4,2]=>[1,4,3,2]=>[1,3,4,2]=>[1,4,3,2] [1,0,1,1,1,0,0,0]=>[1,4,3,2]=>[1,4,3,2]=>[1,3,4,2]=>[1,4,3,2] [1,1,0,0,1,0,1,0]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4] [1,1,0,0,1,1,0,0]=>[2,1,4,3]=>[2,1,4,3]=>[2,1,4,3]=>[2,1,4,3] [1,1,0,1,0,0,1,0]=>[2,3,1,4]=>[3,2,1,4]=>[2,3,1,4]=>[3,2,1,4] [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>[4,2,3,1]=>[2,3,4,1]=>[4,2,3,1] [1,1,0,1,1,0,0,0]=>[2,4,3,1]=>[4,3,2,1]=>[3,2,4,1]=>[4,3,2,1] [1,1,1,0,0,0,1,0]=>[3,2,1,4]=>[3,2,1,4]=>[2,3,1,4]=>[3,2,1,4] [1,1,1,0,0,1,0,0]=>[3,2,4,1]=>[4,2,3,1]=>[2,3,4,1]=>[4,2,3,1] [1,1,1,0,1,0,0,0]=>[3,4,2,1]=>[4,3,2,1]=>[3,2,4,1]=>[4,3,2,1] [1,1,1,1,0,0,0,0]=>[4,3,2,1]=>[4,3,2,1]=>[3,2,4,1]=>[4,3,2,1] [1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5] [1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4] [1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5] [1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[1,2,5,4,3] [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[1,2,5,4,3] [1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5] [1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4] [1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5] [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[1,3,4,5,2]=>[1,5,3,4,2] [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,4,2]=>[1,5,4,3,2]=>[1,4,3,5,2]=>[1,5,4,3,2] [1,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5] [1,0,1,1,1,0,0,1,0,0]=>[1,4,3,5,2]=>[1,5,3,4,2]=>[1,3,4,5,2]=>[1,5,3,4,2] [1,0,1,1,1,0,1,0,0,0]=>[1,4,5,3,2]=>[1,5,4,3,2]=>[1,4,3,5,2]=>[1,5,4,3,2] [1,0,1,1,1,1,0,0,0,0]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[1,4,3,5,2]=>[1,5,4,3,2] [1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5] [1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4] [1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5] [1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[2,1,5,4,3] [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[2,1,5,4,3] [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5] [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4] [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5] [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,3,4,5,1]=>[5,2,3,4,1] [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,4,1]=>[5,2,4,3,1]=>[2,4,3,5,1]=>[5,2,4,3,1] [1,1,0,1,1,0,0,0,1,0]=>[2,4,3,1,5]=>[4,3,2,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5] [1,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,1]=>[5,3,2,4,1]=>[3,2,4,5,1]=>[5,3,2,4,1] [1,1,0,1,1,0,1,0,0,0]=>[2,4,5,3,1]=>[5,4,3,2,1]=>[3,4,2,5,1]=>[5,4,3,2,1] [1,1,0,1,1,1,0,0,0,0]=>[2,5,4,3,1]=>[5,4,3,2,1]=>[3,4,2,5,1]=>[5,4,3,2,1] [1,1,1,0,0,0,1,0,1,0]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5] [1,1,1,0,0,0,1,1,0,0]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4] [1,1,1,0,0,1,0,0,1,0]=>[3,2,4,1,5]=>[4,2,3,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5] [1,1,1,0,0,1,0,1,0,0]=>[3,2,4,5,1]=>[5,2,3,4,1]=>[2,3,4,5,1]=>[5,2,3,4,1] [1,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,1]=>[5,2,4,3,1]=>[2,4,3,5,1]=>[5,2,4,3,1] [1,1,1,0,1,0,0,0,1,0]=>[3,4,2,1,5]=>[4,3,2,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5] [1,1,1,0,1,0,0,1,0,0]=>[3,4,2,5,1]=>[5,3,2,4,1]=>[3,2,4,5,1]=>[5,3,2,4,1] [1,1,1,0,1,0,1,0,0,0]=>[3,4,5,2,1]=>[5,4,3,2,1]=>[3,4,2,5,1]=>[5,4,3,2,1] [1,1,1,0,1,1,0,0,0,0]=>[3,5,4,2,1]=>[5,4,3,2,1]=>[3,4,2,5,1]=>[5,4,3,2,1] [1,1,1,1,0,0,0,0,1,0]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5] [1,1,1,1,0,0,0,1,0,0]=>[4,3,2,5,1]=>[5,3,2,4,1]=>[3,2,4,5,1]=>[5,3,2,4,1] [1,1,1,1,0,0,1,0,0,0]=>[4,3,5,2,1]=>[5,4,3,2,1]=>[3,4,2,5,1]=>[5,4,3,2,1] [1,1,1,1,0,1,0,0,0,0]=>[4,5,3,2,1]=>[5,4,3,2,1]=>[3,4,2,5,1]=>[5,4,3,2,1] [1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[3,4,2,5,1]=>[5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6] [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5] [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6] [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4] [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4] [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6] [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6] [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3] [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,5,3]=>[1,2,6,5,4,3]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3] [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6] [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,4,6,3]=>[1,2,6,4,5,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3] [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,5,6,4,3]=>[1,2,6,5,4,3]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3] [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3] [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6] [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5] [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6] [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4] [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4] [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6] [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5] [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6] [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2] [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,5,2]=>[1,6,3,5,4,2]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2] [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,4,2,6]=>[1,5,4,3,2,6]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6] [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,4,6,2]=>[1,6,4,3,5,2]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2] [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2] [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2] [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6] [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5] [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,3,5,2,6]=>[1,5,3,4,2,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6] [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,3,5,6,2]=>[1,6,3,4,5,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2] [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,2]=>[1,6,3,5,4,2]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2] [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,4,5,3,2,6]=>[1,5,4,3,2,6]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6] [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,4,5,3,6,2]=>[1,6,4,3,5,2]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2] [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2] [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2] [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6] [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,4,3,6,2]=>[1,6,4,3,5,2]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2] [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2] [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2] [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2] [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5] [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6] [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>[2,1,3,6,5,4]=>[2,1,3,5,6,4]=>[2,1,3,6,5,4] [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>[2,1,3,5,6,4]=>[2,1,3,6,5,4] [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6] [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5] [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[2,1,5,4,3,6]=>[2,1,4,5,3,6]=>[2,1,5,4,3,6] [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>[2,1,6,4,5,3]=>[2,1,4,5,6,3]=>[2,1,6,4,5,3] [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3] [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[2,1,4,5,3,6]=>[2,1,5,4,3,6] [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3]=>[2,1,6,4,5,3]=>[2,1,4,5,6,3]=>[2,1,6,4,5,3] [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3] [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3] [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6] [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>[3,2,1,4,6,5]=>[2,3,1,4,6,5]=>[3,2,1,4,6,5] [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>[3,2,1,5,4,6]=>[2,3,1,5,4,6]=>[3,2,1,5,4,6] [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>[3,2,1,6,5,4]=>[2,3,1,5,6,4]=>[3,2,1,6,5,4] [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,5,4]=>[3,2,1,6,5,4]=>[2,3,1,5,6,4]=>[3,2,1,6,5,4] [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6] [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>[4,2,3,1,6,5]=>[2,3,4,1,6,5]=>[4,2,3,1,6,5] [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6] [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1] [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,5,1]=>[6,2,3,5,4,1]=>[2,3,5,4,6,1]=>[6,2,3,5,4,1] [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,4,1,6]=>[5,2,4,3,1,6]=>[2,4,3,5,1,6]=>[5,2,4,3,1,6] [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,4,6,1]=>[6,2,4,3,5,1]=>[2,4,3,5,6,1]=>[6,2,4,3,5,1] [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,6,4,1]=>[6,2,5,4,3,1]=>[2,4,5,3,6,1]=>[6,2,5,4,3,1] [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,5,4,1]=>[6,2,5,4,3,1]=>[2,4,5,3,6,1]=>[6,2,5,4,3,1] [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,1,5,6]=>[4,3,2,1,5,6]=>[3,2,4,1,5,6]=>[4,3,2,1,5,6] [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,5]=>[4,3,2,1,6,5]=>[3,2,4,1,6,5]=>[4,3,2,1,6,5] [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,5,1,6]=>[5,3,2,4,1,6]=>[3,2,4,5,1,6]=>[5,3,2,4,1,6] [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,5,6,1]=>[6,3,2,4,5,1]=>[3,2,4,5,6,1]=>[6,3,2,4,5,1] [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,1]=>[6,3,2,5,4,1]=>[3,2,5,4,6,1]=>[6,3,2,5,4,1] [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,4,5,3,1,6]=>[5,4,3,2,1,6]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6] [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,5,3,6,1]=>[6,4,3,2,5,1]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1] [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,6,3,1]=>[6,5,3,4,2,1]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1] [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,6,5,3,1]=>[6,5,4,3,2,1]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1] [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,4,3,1,6]=>[5,4,3,2,1,6]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6] [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,4,3,6,1]=>[6,4,3,2,5,1]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1] [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,5,4,6,3,1]=>[6,5,3,4,2,1]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1] [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,5,6,4,3,1]=>[6,5,4,3,2,1]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1] [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,5,4,3,1]=>[6,5,4,3,2,1]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1] [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6] [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>[2,3,1,4,6,5]=>[3,2,1,4,6,5] [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[2,3,1,5,4,6]=>[3,2,1,5,4,6] [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1,5,6,4]=>[3,2,1,6,5,4]=>[2,3,1,5,6,4]=>[3,2,1,6,5,4] [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[2,3,1,5,6,4]=>[3,2,1,6,5,4] [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,4,1,5,6]=>[4,2,3,1,5,6]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6] [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5]=>[4,2,3,1,6,5]=>[2,3,4,1,6,5]=>[4,2,3,1,6,5] [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,4,5,1,6]=>[5,2,3,4,1,6]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6] [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,1]=>[6,2,3,4,5,1]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1] [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,4,6,5,1]=>[6,2,3,5,4,1]=>[2,3,5,4,6,1]=>[6,2,3,5,4,1] [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,1,6]=>[5,2,4,3,1,6]=>[2,4,3,5,1,6]=>[5,2,4,3,1,6] [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,6,1]=>[6,2,4,3,5,1]=>[2,4,3,5,6,1]=>[6,2,4,3,5,1] [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,5,6,4,1]=>[6,2,5,4,3,1]=>[2,4,5,3,6,1]=>[6,2,5,4,3,1] [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,6,5,4,1]=>[6,2,5,4,3,1]=>[2,4,5,3,6,1]=>[6,2,5,4,3,1] [1,1,1,0,1,0,0,0,1,0,1,0]=>[3,4,2,1,5,6]=>[4,3,2,1,5,6]=>[3,2,4,1,5,6]=>[4,3,2,1,5,6] [1,1,1,0,1,0,0,0,1,1,0,0]=>[3,4,2,1,6,5]=>[4,3,2,1,6,5]=>[3,2,4,1,6,5]=>[4,3,2,1,6,5] [1,1,1,0,1,0,0,1,0,0,1,0]=>[3,4,2,5,1,6]=>[5,3,2,4,1,6]=>[3,2,4,5,1,6]=>[5,3,2,4,1,6] [1,1,1,0,1,0,0,1,0,1,0,0]=>[3,4,2,5,6,1]=>[6,3,2,4,5,1]=>[3,2,4,5,6,1]=>[6,3,2,4,5,1] [1,1,1,0,1,0,0,1,1,0,0,0]=>[3,4,2,6,5,1]=>[6,3,2,5,4,1]=>[3,2,5,4,6,1]=>[6,3,2,5,4,1] [1,1,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,2,1,6]=>[5,4,3,2,1,6]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6] [1,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,2,6,1]=>[6,4,3,2,5,1]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1] [1,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,2,1]=>[6,5,3,4,2,1]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1] [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,6,5,2,1]=>[6,5,4,3,2,1]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1] [1,1,1,0,1,1,0,0,0,0,1,0]=>[3,5,4,2,1,6]=>[5,4,3,2,1,6]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6] [1,1,1,0,1,1,0,0,0,1,0,0]=>[3,5,4,2,6,1]=>[6,4,3,2,5,1]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1] [1,1,1,0,1,1,0,0,1,0,0,0]=>[3,5,4,6,2,1]=>[6,5,3,4,2,1]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1] [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,5,6,4,2,1]=>[6,5,4,3,2,1]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1] [1,1,1,0,1,1,1,0,0,0,0,0]=>[3,6,5,4,2,1]=>[6,5,4,3,2,1]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1] [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[3,2,4,1,5,6]=>[4,3,2,1,5,6] [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[3,2,4,1,6,5]=>[4,3,2,1,6,5] [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,3,2,5,1,6]=>[5,3,2,4,1,6]=>[3,2,4,5,1,6]=>[5,3,2,4,1,6] [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3,2,5,6,1]=>[6,3,2,4,5,1]=>[3,2,4,5,6,1]=>[6,3,2,4,5,1] [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,3,2,6,5,1]=>[6,3,2,5,4,1]=>[3,2,5,4,6,1]=>[6,3,2,5,4,1] [1,1,1,1,0,0,1,0,0,0,1,0]=>[4,3,5,2,1,6]=>[5,4,3,2,1,6]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6] [1,1,1,1,0,0,1,0,0,1,0,0]=>[4,3,5,2,6,1]=>[6,4,3,2,5,1]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1] [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,3,5,6,2,1]=>[6,5,3,4,2,1]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1] [1,1,1,1,0,0,1,1,0,0,0,0]=>[4,3,6,5,2,1]=>[6,5,4,3,2,1]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1] [1,1,1,1,0,1,0,0,0,0,1,0]=>[4,5,3,2,1,6]=>[5,4,3,2,1,6]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6] [1,1,1,1,0,1,0,0,0,1,0,0]=>[4,5,3,2,6,1]=>[6,4,3,2,5,1]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1] [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,5,3,6,2,1]=>[6,5,3,4,2,1]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1] [1,1,1,1,0,1,0,1,0,0,0,0]=>[4,5,6,3,2,1]=>[6,5,4,3,2,1]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1] [1,1,1,1,0,1,1,0,0,0,0,0]=>[4,6,5,3,2,1]=>[6,5,4,3,2,1]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1] [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6] [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,4,3,2,6,1]=>[6,4,3,2,5,1]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1] [1,1,1,1,1,0,0,0,1,0,0,0]=>[5,4,3,6,2,1]=>[6,5,3,4,2,1]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1] [1,1,1,1,1,0,0,1,0,0,0,0]=>[5,4,6,3,2,1]=>[6,5,4,3,2,1]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1] [1,1,1,1,1,0,1,0,0,0,0,0]=>[5,6,4,3,2,1]=>[6,5,4,3,2,1]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1] [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5] [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7] [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7] [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4] [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,6,4]=>[1,2,3,7,6,5,4]=>[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4] [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7] [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,5,7,4]=>[1,2,3,7,5,6,4]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4] [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,6,7,5,4]=>[1,2,3,7,6,5,4]=>[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4] [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4] [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7] [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6] [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7] [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5] [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7] [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6] [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7] [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3] [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,6,3]=>[1,2,7,4,6,5,3]=>[1,2,4,6,5,7,3]=>[1,2,7,4,6,5,3] [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,5,3,7]=>[1,2,6,5,4,3,7]=>[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7] [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,5,7,3]=>[1,2,7,5,4,6,3]=>[1,2,5,4,6,7,3]=>[1,2,7,5,4,6,3] [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,6,7,5,3]=>[1,2,7,6,5,4,3]=>[1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,6,5,3]=>[1,2,7,6,5,4,3]=>[1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3] [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7] [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6] [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,4,6,3,7]=>[1,2,6,4,5,3,7]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7] [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,4,6,7,3]=>[1,2,7,4,5,6,3]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3] [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,4,7,6,3]=>[1,2,7,4,6,5,3]=>[1,2,4,6,5,7,3]=>[1,2,7,4,6,5,3] [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,5,6,4,3,7]=>[1,2,6,5,4,3,7]=>[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7] [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,5,6,4,7,3]=>[1,2,7,5,4,6,3]=>[1,2,5,4,6,7,3]=>[1,2,7,5,4,6,3] [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,4,3]=>[1,2,7,6,5,4,3]=>[1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3] [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,5,7,6,4,3]=>[1,2,7,6,5,4,3]=>[1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3] [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,5,4,7,3]=>[1,2,7,5,4,6,3]=>[1,2,5,4,6,7,3]=>[1,2,7,5,4,6,3] [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,6,5,7,4,3]=>[1,2,7,6,5,4,3]=>[1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3] [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,6,7,5,4,3]=>[1,2,7,6,5,4,3]=>[1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3] [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3]=>[1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3] [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7] [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6] [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7] [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5] [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5] [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7] [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7] [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4] [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,6,4]=>[1,3,2,7,6,5,4]=>[1,3,2,6,5,7,4]=>[1,3,2,7,6,5,4] [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7] [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,5,7,4]=>[1,3,2,7,5,6,4]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4] [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,6,7,5,4]=>[1,3,2,7,6,5,4]=>[1,3,2,6,5,7,4]=>[1,3,2,7,6,5,4] [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,3,2,6,5,7,4]=>[1,3,2,7,6,5,4] [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7] [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6] [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7] [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5] [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5] [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7] [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6] [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7] [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2] [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,6,2]=>[1,7,3,4,6,5,2]=>[1,3,4,6,5,7,2]=>[1,7,3,4,6,5,2] [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,5,2,7]=>[1,6,3,5,4,2,7]=>[1,3,5,4,6,2,7]=>[1,6,3,5,4,2,7] [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,5,7,2]=>[1,7,3,5,4,6,2]=>[1,3,5,4,6,7,2]=>[1,7,3,5,4,6,2] [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,6,7,5,2]=>[1,7,3,6,5,4,2]=>[1,3,5,6,4,7,2]=>[1,7,3,6,5,4,2] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,6,5,2]=>[1,7,3,6,5,4,2]=>[1,3,5,6,4,7,2]=>[1,7,3,6,5,4,2] [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,4,2,6,7]=>[1,5,4,3,2,6,7]=>[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7] [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,4,2,7,6]=>[1,5,4,3,2,7,6]=>[1,4,3,5,2,7,6]=>[1,5,4,3,2,7,6] [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,4,6,2,7]=>[1,6,4,3,5,2,7]=>[1,4,3,5,6,2,7]=>[1,6,4,3,5,2,7] [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,4,6,7,2]=>[1,7,4,3,5,6,2]=>[1,4,3,5,6,7,2]=>[1,7,4,3,5,6,2] [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,4,7,6,2]=>[1,7,4,3,6,5,2]=>[1,4,3,6,5,7,2]=>[1,7,4,3,6,5,2] [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,5,6,4,2,7]=>[1,6,5,4,3,2,7]=>[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7] [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,5,6,4,7,2]=>[1,7,5,4,3,6,2]=>[1,4,5,3,6,7,2]=>[1,7,5,4,3,6,2] [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,4,2]=>[1,7,6,4,5,3,2]=>[1,4,5,6,3,7,2]=>[1,7,6,4,5,3,2] [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,7,6,4,2]=>[1,7,6,5,4,3,2]=>[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2] [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,5,4,2,7]=>[1,6,5,4,3,2,7]=>[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7] [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,5,4,7,2]=>[1,7,5,4,3,6,2]=>[1,4,5,3,6,7,2]=>[1,7,5,4,3,6,2] [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,6,5,7,4,2]=>[1,7,6,4,5,3,2]=>[1,4,5,6,3,7,2]=>[1,7,6,4,5,3,2] [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,6,7,5,4,2]=>[1,7,6,5,4,3,2]=>[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2] [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7] [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6] [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7] [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,3,2,6,7,5]=>[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5] [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5] [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,3,5,2,6,7]=>[1,5,3,4,2,6,7]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7] [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,3,5,2,7,6]=>[1,5,3,4,2,7,6]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6] [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,2,7]=>[1,6,3,4,5,2,7]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7] [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,2]=>[1,7,3,4,5,6,2]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2] [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,3,5,7,6,2]=>[1,7,3,4,6,5,2]=>[1,3,4,6,5,7,2]=>[1,7,3,4,6,5,2] [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,3,6,5,2,7]=>[1,6,3,5,4,2,7]=>[1,3,5,4,6,2,7]=>[1,6,3,5,4,2,7] [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,3,6,5,7,2]=>[1,7,3,5,4,6,2]=>[1,3,5,4,6,7,2]=>[1,7,3,5,4,6,2] [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,3,6,7,5,2]=>[1,7,3,6,5,4,2]=>[1,3,5,6,4,7,2]=>[1,7,3,6,5,4,2] [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,3,7,6,5,2]=>[1,7,3,6,5,4,2]=>[1,3,5,6,4,7,2]=>[1,7,3,6,5,4,2] [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,4,5,3,2,6,7]=>[1,5,4,3,2,6,7]=>[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7] [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,4,5,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,4,3,5,2,7,6]=>[1,5,4,3,2,7,6] [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,3,6,2,7]=>[1,6,4,3,5,2,7]=>[1,4,3,5,6,2,7]=>[1,6,4,3,5,2,7] [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,5,3,6,7,2]=>[1,7,4,3,5,6,2]=>[1,4,3,5,6,7,2]=>[1,7,4,3,5,6,2] [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,5,3,7,6,2]=>[1,7,4,3,6,5,2]=>[1,4,3,6,5,7,2]=>[1,7,4,3,6,5,2] [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,3,2,7]=>[1,6,5,4,3,2,7]=>[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7] [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,3,7,2]=>[1,7,5,4,3,6,2]=>[1,4,5,3,6,7,2]=>[1,7,5,4,3,6,2] [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,3,2]=>[1,7,6,4,5,3,2]=>[1,4,5,6,3,7,2]=>[1,7,6,4,5,3,2] [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,4,5,7,6,3,2]=>[1,7,6,5,4,3,2]=>[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2] [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,4,6,5,3,2,7]=>[1,6,5,4,3,2,7]=>[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7] [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,6,5,3,7,2]=>[1,7,5,4,3,6,2]=>[1,4,5,3,6,7,2]=>[1,7,5,4,3,6,2] [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,6,5,7,3,2]=>[1,7,6,4,5,3,2]=>[1,4,5,6,3,7,2]=>[1,7,6,4,5,3,2] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,4,6,7,5,3,2]=>[1,7,6,5,4,3,2]=>[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2] [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,4,7,6,5,3,2]=>[1,7,6,5,4,3,2]=>[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2] [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7]=>[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7] [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,4,3,5,2,7,6]=>[1,5,4,3,2,7,6] [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,4,3,6,2,7]=>[1,6,4,3,5,2,7]=>[1,4,3,5,6,2,7]=>[1,6,4,3,5,2,7] [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,4,3,6,7,2]=>[1,7,4,3,5,6,2]=>[1,4,3,5,6,7,2]=>[1,7,4,3,5,6,2] [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,4,3,7,6,2]=>[1,7,4,3,6,5,2]=>[1,4,3,6,5,7,2]=>[1,7,4,3,6,5,2] [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,5,4,6,3,2,7]=>[1,6,5,4,3,2,7]=>[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7] [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,4,6,3,7,2]=>[1,7,5,4,3,6,2]=>[1,4,5,3,6,7,2]=>[1,7,5,4,3,6,2] [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,5,4,6,7,3,2]=>[1,7,6,4,5,3,2]=>[1,4,5,6,3,7,2]=>[1,7,6,4,5,3,2] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,5,4,7,6,3,2]=>[1,7,6,5,4,3,2]=>[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2] [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,5,6,4,3,2,7]=>[1,6,5,4,3,2,7]=>[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7] [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,5,6,4,3,7,2]=>[1,7,5,4,3,6,2]=>[1,4,5,3,6,7,2]=>[1,7,5,4,3,6,2] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,5,6,4,7,3,2]=>[1,7,6,4,5,3,2]=>[1,4,5,6,3,7,2]=>[1,7,6,4,5,3,2] [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,4,3,2]=>[1,7,6,5,4,3,2]=>[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2] [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,5,7,6,4,3,2]=>[1,7,6,5,4,3,2]=>[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2] [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,5,4,3,7,2]=>[1,7,5,4,3,6,2]=>[1,4,5,3,6,7,2]=>[1,7,5,4,3,6,2] [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,6,5,4,7,3,2]=>[1,7,6,4,5,3,2]=>[1,4,5,6,3,7,2]=>[1,7,6,4,5,3,2] [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,6,5,7,4,3,2]=>[1,7,6,5,4,3,2]=>[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2] [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,6,7,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2] [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2] [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7] [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6] [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7] [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5] [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7] [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]=>[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7] [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4]=>[2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4] [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,6,4]=>[2,1,3,7,6,5,4]=>[2,1,3,6,5,7,4]=>[2,1,3,7,6,5,4] [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]=>[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7] [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,5,7,4]=>[2,1,3,7,5,6,4]=>[2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4] [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,6,7,5,4]=>[2,1,3,7,6,5,4]=>[2,1,3,6,5,7,4]=>[2,1,3,7,6,5,4] [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4]=>[2,1,3,6,5,7,4]=>[2,1,3,7,6,5,4] [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7] [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6] [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7] [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5]=>[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5] [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5] [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]=>[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7] [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]=>[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6] [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7]=>[2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7] [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]=>[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3] [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,6,3]=>[2,1,7,4,6,5,3]=>[2,1,4,6,5,7,3]=>[2,1,7,4,6,5,3] [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,5,3,7]=>[2,1,6,5,4,3,7]=>[2,1,5,4,6,3,7]=>[2,1,6,5,4,3,7] [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,5,7,3]=>[2,1,7,5,4,6,3]=>[2,1,5,4,6,7,3]=>[2,1,7,5,4,6,3] [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,6,7,5,3]=>[2,1,7,6,5,4,3]=>[2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3] [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,6,5,3]=>[2,1,7,6,5,4,3]=>[2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3] [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7]=>[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7] [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6] [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,4,6,3,7]=>[2,1,6,4,5,3,7]=>[2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,4,6,7,3]=>[2,1,7,4,5,6,3]=>[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3] [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,4,7,6,3]=>[2,1,7,4,6,5,3]=>[2,1,4,6,5,7,3]=>[2,1,7,4,6,5,3] [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,5,6,4,3,7]=>[2,1,6,5,4,3,7]=>[2,1,5,4,6,3,7]=>[2,1,6,5,4,3,7] [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,5,6,4,7,3]=>[2,1,7,5,4,6,3]=>[2,1,5,4,6,7,3]=>[2,1,7,5,4,6,3] [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,4,3]=>[2,1,7,6,5,4,3]=>[2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3] [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,5,7,6,4,3]=>[2,1,7,6,5,4,3]=>[2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3] [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[2,1,5,4,6,3,7]=>[2,1,6,5,4,3,7] [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,5,4,7,3]=>[2,1,7,5,4,6,3]=>[2,1,5,4,6,7,3]=>[2,1,7,5,4,6,3] [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,6,5,7,4,3]=>[2,1,7,6,5,4,3]=>[2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3] [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,6,7,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3] [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3] [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7] [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5] [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7] [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,6,4]=>[3,2,1,7,6,5,4]=>[2,3,1,6,5,7,4]=>[3,2,1,7,6,5,4] [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7] [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,5,7,4]=>[3,2,1,7,5,6,4]=>[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4] [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,6,7,5,4]=>[3,2,1,7,6,5,4]=>[2,3,1,6,5,7,4]=>[3,2,1,7,6,5,4] [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[2,3,1,6,5,7,4]=>[3,2,1,7,6,5,4] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,6,5]=>[4,2,3,1,7,6,5]=>[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,6,1]=>[7,2,3,4,6,5,1]=>[2,3,4,6,5,7,1]=>[7,2,3,4,6,5,1] [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,5,1,7]=>[6,2,3,5,4,1,7]=>[2,3,5,4,6,1,7]=>[6,2,3,5,4,1,7] [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,5,7,1]=>[7,2,3,5,4,6,1]=>[2,3,5,4,6,7,1]=>[7,2,3,5,4,6,1] [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,6,7,5,1]=>[7,2,3,6,5,4,1]=>[2,3,5,6,4,7,1]=>[7,2,3,6,5,4,1] [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,6,5,1]=>[7,2,3,6,5,4,1]=>[2,3,5,6,4,7,1]=>[7,2,3,6,5,4,1] [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,4,1,6,7]=>[5,2,4,3,1,6,7]=>[2,4,3,5,1,6,7]=>[5,2,4,3,1,6,7] [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,4,1,7,6]=>[5,2,4,3,1,7,6]=>[2,4,3,5,1,7,6]=>[5,2,4,3,1,7,6] [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,4,6,1,7]=>[6,2,4,3,5,1,7]=>[2,4,3,5,6,1,7]=>[6,2,4,3,5,1,7] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,4,6,7,1]=>[7,2,4,3,5,6,1]=>[2,4,3,5,6,7,1]=>[7,2,4,3,5,6,1] [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,4,7,6,1]=>[7,2,4,3,6,5,1]=>[2,4,3,6,5,7,1]=>[7,2,4,3,6,5,1] [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,5,6,4,1,7]=>[6,2,5,4,3,1,7]=>[2,4,5,3,6,1,7]=>[6,2,5,4,3,1,7] [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,5,6,4,7,1]=>[7,2,5,4,3,6,1]=>[2,4,5,3,6,7,1]=>[7,2,5,4,3,6,1] [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,4,1]=>[7,2,6,4,5,3,1]=>[2,4,5,6,3,7,1]=>[7,2,6,4,5,3,1] [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,5,7,6,4,1]=>[7,2,6,5,4,3,1]=>[2,5,4,6,3,7,1]=>[7,2,6,5,4,3,1] [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,5,4,1,7]=>[6,2,5,4,3,1,7]=>[2,4,5,3,6,1,7]=>[6,2,5,4,3,1,7] [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,5,4,7,1]=>[7,2,5,4,3,6,1]=>[2,4,5,3,6,7,1]=>[7,2,5,4,3,6,1] [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,6,5,7,4,1]=>[7,2,6,4,5,3,1]=>[2,4,5,6,3,7,1]=>[7,2,6,4,5,3,1] [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,6,7,5,4,1]=>[7,2,6,5,4,3,1]=>[2,5,4,6,3,7,1]=>[7,2,6,5,4,3,1] [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,6,5,4,1]=>[7,2,6,5,4,3,1]=>[2,5,4,6,3,7,1]=>[7,2,6,5,4,3,1] [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7] [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,3,1,5,7,6]=>[4,3,2,1,5,7,6]=>[3,2,4,1,5,7,6]=>[4,3,2,1,5,7,6] [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,3,1,6,5,7]=>[4,3,2,1,6,5,7]=>[3,2,4,1,6,5,7]=>[4,3,2,1,6,5,7] [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,3,1,6,7,5]=>[4,3,2,1,7,6,5]=>[3,2,4,1,6,7,5]=>[4,3,2,1,7,6,5] [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,3,1,7,6,5]=>[4,3,2,1,7,6,5]=>[3,2,4,1,6,7,5]=>[4,3,2,1,7,6,5] [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,3,5,1,6,7]=>[5,3,2,4,1,6,7]=>[3,2,4,5,1,6,7]=>[5,3,2,4,1,6,7] [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,3,5,1,7,6]=>[5,3,2,4,1,7,6]=>[3,2,4,5,1,7,6]=>[5,3,2,4,1,7,6] [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,1,7]=>[6,3,2,4,5,1,7]=>[3,2,4,5,6,1,7]=>[6,3,2,4,5,1,7] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,1]=>[7,3,2,4,5,6,1]=>[3,2,4,5,6,7,1]=>[7,3,2,4,5,6,1] [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,3,5,7,6,1]=>[7,3,2,4,6,5,1]=>[3,2,4,6,5,7,1]=>[7,3,2,4,6,5,1] [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,3,6,5,1,7]=>[6,3,2,5,4,1,7]=>[3,2,5,4,6,1,7]=>[6,3,2,5,4,1,7] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,3,6,5,7,1]=>[7,3,2,5,4,6,1]=>[3,2,5,4,6,7,1]=>[7,3,2,5,4,6,1] [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,3,6,7,5,1]=>[7,3,2,6,5,4,1]=>[3,2,5,6,4,7,1]=>[7,3,2,6,5,4,1] [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,3,7,6,5,1]=>[7,3,2,6,5,4,1]=>[3,2,5,6,4,7,1]=>[7,3,2,6,5,4,1] [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,4,5,3,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7] [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,4,5,3,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,2,5,1,7,6]=>[5,4,3,2,1,7,6] [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,4,5,3,6,1,7]=>[6,4,3,2,5,1,7]=>[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,3,6,7,1]=>[7,4,3,2,5,6,1]=>[3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1] [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,4,5,3,7,6,1]=>[7,4,3,2,6,5,1]=>[3,4,2,6,5,7,1]=>[7,4,3,2,6,5,1] [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,4,5,6,3,1,7]=>[6,5,3,4,2,1,7]=>[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7] [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,3,7,1]=>[7,5,3,4,2,6,1]=>[3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1] [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,3,1]=>[7,6,3,4,5,2,1]=>[3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1] [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,4,5,7,6,3,1]=>[7,6,3,5,4,2,1]=>[3,5,4,6,2,7,1]=>[7,6,3,5,4,2,1] [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,4,6,5,3,1,7]=>[6,5,4,3,2,1,7]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,4,6,5,3,7,1]=>[7,5,4,3,2,6,1]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1] [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,6,5,7,3,1]=>[7,6,4,3,5,2,1]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1] [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,6,7,5,3,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,4,7,6,5,3,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7] [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,2,5,1,7,6]=>[5,4,3,2,1,7,6] [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,4,3,6,1,7]=>[6,4,3,2,5,1,7]=>[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,4,3,6,7,1]=>[7,4,3,2,5,6,1]=>[3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1] [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,4,3,7,6,1]=>[7,4,3,2,6,5,1]=>[3,4,2,6,5,7,1]=>[7,4,3,2,6,5,1] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,5,4,6,3,1,7]=>[6,5,3,4,2,1,7]=>[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7] [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,5,4,6,3,7,1]=>[7,5,3,4,2,6,1]=>[3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1] [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,5,4,6,7,3,1]=>[7,6,3,4,5,2,1]=>[3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1] [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,5,4,7,6,3,1]=>[7,6,3,5,4,2,1]=>[3,5,4,6,2,7,1]=>[7,6,3,5,4,2,1] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,5,6,4,3,1,7]=>[6,5,4,3,2,1,7]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,5,6,4,3,7,1]=>[7,5,4,3,2,6,1]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,5,6,4,7,3,1]=>[7,6,4,3,5,2,1]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,4,3,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,5,7,6,4,3,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,5,4,3,7,1]=>[7,5,4,3,2,6,1]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,6,5,4,7,3,1]=>[7,6,4,3,5,2,1]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,6,5,7,4,3,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,6,7,5,4,3,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,2,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,1,5,7,6,4]=>[3,2,1,7,6,5,4]=>[2,3,1,6,5,7,4]=>[3,2,1,7,6,5,4] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,2,1,6,5,7,4]=>[3,2,1,7,5,6,4]=>[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,2,1,6,7,5,4]=>[3,2,1,7,6,5,4]=>[2,3,1,6,5,7,4]=>[3,2,1,7,6,5,4] [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[2,3,1,6,5,7,4]=>[3,2,1,7,6,5,4] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,2,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,2,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,2,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,1,7,6,5]=>[4,2,3,1,7,6,5]=>[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,2,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,7,6,1]=>[7,2,3,4,6,5,1]=>[2,3,4,6,5,7,1]=>[7,2,3,4,6,5,1] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,2,4,6,5,1,7]=>[6,2,3,5,4,1,7]=>[2,3,5,4,6,1,7]=>[6,2,3,5,4,1,7] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,6,5,7,1]=>[7,2,3,5,4,6,1]=>[2,3,5,4,6,7,1]=>[7,2,3,5,4,6,1] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,6,7,5,1]=>[7,2,3,6,5,4,1]=>[2,3,5,6,4,7,1]=>[7,2,3,6,5,4,1] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,2,4,7,6,5,1]=>[7,2,3,6,5,4,1]=>[2,3,5,6,4,7,1]=>[7,2,3,6,5,4,1] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,5,4,1,6,7]=>[5,2,4,3,1,6,7]=>[2,4,3,5,1,6,7]=>[5,2,4,3,1,6,7] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,5,4,1,7,6]=>[5,2,4,3,1,7,6]=>[2,4,3,5,1,7,6]=>[5,2,4,3,1,7,6] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,5,4,6,1,7]=>[6,2,4,3,5,1,7]=>[2,4,3,5,6,1,7]=>[6,2,4,3,5,1,7] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,5,4,6,7,1]=>[7,2,4,3,5,6,1]=>[2,4,3,5,6,7,1]=>[7,2,4,3,5,6,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,7,6,1]=>[7,2,4,3,6,5,1]=>[2,4,3,6,5,7,1]=>[7,2,4,3,6,5,1] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,5,6,4,1,7]=>[6,2,5,4,3,1,7]=>[2,4,5,3,6,1,7]=>[6,2,5,4,3,1,7] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,5,6,4,7,1]=>[7,2,5,4,3,6,1]=>[2,4,5,3,6,7,1]=>[7,2,5,4,3,6,1] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,5,6,7,4,1]=>[7,2,6,4,5,3,1]=>[2,4,5,6,3,7,1]=>[7,2,6,4,5,3,1] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,5,7,6,4,1]=>[7,2,6,5,4,3,1]=>[2,5,4,6,3,7,1]=>[7,2,6,5,4,3,1] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,2,6,5,4,1,7]=>[6,2,5,4,3,1,7]=>[2,4,5,3,6,1,7]=>[6,2,5,4,3,1,7] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,2,6,5,4,7,1]=>[7,2,5,4,3,6,1]=>[2,4,5,3,6,7,1]=>[7,2,5,4,3,6,1] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,2,6,5,7,4,1]=>[7,2,6,4,5,3,1]=>[2,4,5,6,3,7,1]=>[7,2,6,4,5,3,1] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,2,6,7,5,4,1]=>[7,2,6,5,4,3,1]=>[2,5,4,6,3,7,1]=>[7,2,6,5,4,3,1] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,2,7,6,5,4,1]=>[7,2,6,5,4,3,1]=>[2,5,4,6,3,7,1]=>[7,2,6,5,4,3,1] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,4,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[3,2,4,1,5,7,6]=>[4,3,2,1,5,7,6] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,4,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[3,2,4,1,6,5,7]=>[4,3,2,1,6,5,7] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,2,1,6,7,5]=>[4,3,2,1,7,6,5]=>[3,2,4,1,6,7,5]=>[4,3,2,1,7,6,5] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[3,2,4,1,6,7,5]=>[4,3,2,1,7,6,5] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[3,2,4,5,1,6,7]=>[5,3,2,4,1,6,7] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,2,5,1,7,6]=>[5,3,2,4,1,7,6]=>[3,2,4,5,1,7,6]=>[5,3,2,4,1,7,6] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[3,2,4,5,6,1,7]=>[6,3,2,4,5,1,7] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,2,5,6,7,1]=>[7,3,2,4,5,6,1]=>[3,2,4,5,6,7,1]=>[7,3,2,4,5,6,1] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,4,2,5,7,6,1]=>[7,3,2,4,6,5,1]=>[3,2,4,6,5,7,1]=>[7,3,2,4,6,5,1] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,4,2,6,5,1,7]=>[6,3,2,5,4,1,7]=>[3,2,5,4,6,1,7]=>[6,3,2,5,4,1,7] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,2,6,5,7,1]=>[7,3,2,5,4,6,1]=>[3,2,5,4,6,7,1]=>[7,3,2,5,4,6,1] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,4,2,6,7,5,1]=>[7,3,2,6,5,4,1]=>[3,2,5,6,4,7,1]=>[7,3,2,6,5,4,1] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,4,2,7,6,5,1]=>[7,3,2,6,5,4,1]=>[3,2,5,6,4,7,1]=>[7,3,2,6,5,4,1] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,2,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,2,5,1,7,6]=>[5,4,3,2,1,7,6] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,2,6,7,1]=>[7,4,3,2,5,6,1]=>[3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,4,5,2,7,6,1]=>[7,4,3,2,6,5,1]=>[3,4,2,6,5,7,1]=>[7,4,3,2,6,5,1] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,2,7,1]=>[7,5,3,4,2,6,1]=>[3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,2,1]=>[7,6,3,4,5,2,1]=>[3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,7,6,2,1]=>[7,6,3,5,4,2,1]=>[3,5,4,6,2,7,1]=>[7,6,3,5,4,2,1] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,4,6,5,2,1,7]=>[6,5,4,3,2,1,7]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,4,6,5,2,7,1]=>[7,5,4,3,2,6,1]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,4,6,5,7,2,1]=>[7,6,4,3,5,2,1]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,4,6,7,5,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,7,6,5,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,5,4,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,5,4,2,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,2,5,1,7,6]=>[5,4,3,2,1,7,6] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,5,4,2,6,1,7]=>[6,4,3,2,5,1,7]=>[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,5,4,2,6,7,1]=>[7,4,3,2,5,6,1]=>[3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,5,4,2,7,6,1]=>[7,4,3,2,6,5,1]=>[3,4,2,6,5,7,1]=>[7,4,3,2,6,5,1] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,5,4,6,2,1,7]=>[6,5,3,4,2,1,7]=>[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,5,4,6,2,7,1]=>[7,5,3,4,2,6,1]=>[3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,5,4,6,7,2,1]=>[7,6,3,4,5,2,1]=>[3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,5,4,7,6,2,1]=>[7,6,3,5,4,2,1]=>[3,5,4,6,2,7,1]=>[7,6,3,5,4,2,1] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,5,6,4,2,1,7]=>[6,5,4,3,2,1,7]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,5,6,4,2,7,1]=>[7,5,4,3,2,6,1]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,5,6,4,7,2,1]=>[7,6,4,3,5,2,1]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,4,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,5,7,6,4,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,6,5,4,2,1,7]=>[6,5,4,3,2,1,7]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,6,5,4,2,7,1]=>[7,5,4,3,2,6,1]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,6,5,4,7,2,1]=>[7,6,4,3,5,2,1]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1] [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,6,5,7,4,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,6,7,5,4,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,7,6,5,4,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7] [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[3,2,4,1,5,7,6]=>[4,3,2,1,5,7,6] [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[3,2,4,1,6,5,7]=>[4,3,2,1,6,5,7] [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,3,2,1,6,7,5]=>[4,3,2,1,7,6,5]=>[3,2,4,1,6,7,5]=>[4,3,2,1,7,6,5] [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[3,2,4,1,6,7,5]=>[4,3,2,1,7,6,5] [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,3,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[3,2,4,5,1,6,7]=>[5,3,2,4,1,6,7] [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,3,2,5,1,7,6]=>[5,3,2,4,1,7,6]=>[3,2,4,5,1,7,6]=>[5,3,2,4,1,7,6] [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[3,2,4,5,6,1,7]=>[6,3,2,4,5,1,7] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,1]=>[7,3,2,4,5,6,1]=>[3,2,4,5,6,7,1]=>[7,3,2,4,5,6,1] [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,3,2,5,7,6,1]=>[7,3,2,4,6,5,1]=>[3,2,4,6,5,7,1]=>[7,3,2,4,6,5,1] [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,3,2,6,5,1,7]=>[6,3,2,5,4,1,7]=>[3,2,5,4,6,1,7]=>[6,3,2,5,4,1,7] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,3,2,6,5,7,1]=>[7,3,2,5,4,6,1]=>[3,2,5,4,6,7,1]=>[7,3,2,5,4,6,1] [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,3,2,6,7,5,1]=>[7,3,2,6,5,4,1]=>[3,2,5,6,4,7,1]=>[7,3,2,6,5,4,1] [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3,2,7,6,5,1]=>[7,3,2,6,5,4,1]=>[3,2,5,6,4,7,1]=>[7,3,2,6,5,4,1] [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,3,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7] [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,3,5,2,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,2,5,1,7,6]=>[5,4,3,2,1,7,6] [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,3,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,3,5,2,6,7,1]=>[7,4,3,2,5,6,1]=>[3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1] [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,3,5,2,7,6,1]=>[7,4,3,2,6,5,1]=>[3,4,2,6,5,7,1]=>[7,4,3,2,6,5,1] [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,3,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,3,5,6,2,7,1]=>[7,5,3,4,2,6,1]=>[3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1] [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,3,5,6,7,2,1]=>[7,6,3,4,5,2,1]=>[3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1] [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,3,5,7,6,2,1]=>[7,6,3,5,4,2,1]=>[3,5,4,6,2,7,1]=>[7,6,3,5,4,2,1] [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,3,6,5,2,1,7]=>[6,5,4,3,2,1,7]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7] [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,3,6,5,2,7,1]=>[7,5,4,3,2,6,1]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1] [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,3,6,5,7,2,1]=>[7,6,4,3,5,2,1]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1] [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,3,6,7,5,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3,7,6,5,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7] [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,2,5,1,7,6]=>[5,4,3,2,1,7,6] [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,5,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,5,3,2,6,7,1]=>[7,4,3,2,5,6,1]=>[3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1] [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,3,2,7,6,1]=>[7,4,3,2,6,5,1]=>[3,4,2,6,5,7,1]=>[7,4,3,2,6,5,1] [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,5,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7] [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,3,6,2,7,1]=>[7,5,3,4,2,6,1]=>[3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1] [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,5,3,6,7,2,1]=>[7,6,3,4,5,2,1]=>[3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1] [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,3,7,6,2,1]=>[7,6,3,5,4,2,1]=>[3,5,4,6,2,7,1]=>[7,6,3,5,4,2,1] [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7] [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,3,2,7,1]=>[7,5,4,3,2,6,1]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1] [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,3,7,2,1]=>[7,6,4,3,5,2,1]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1] [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,3,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,7,6,3,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,6,5,3,2,1,7]=>[6,5,4,3,2,1,7]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7] [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,6,5,3,2,7,1]=>[7,5,4,3,2,6,1]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1] [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,6,5,3,7,2,1]=>[7,6,4,3,5,2,1]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1] [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,6,5,7,3,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,6,7,5,3,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,7,6,5,3,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7] [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,2,5,1,7,6]=>[5,4,3,2,1,7,6] [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,4,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7] [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,4,3,2,6,7,1]=>[7,4,3,2,5,6,1]=>[3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1] [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,4,3,2,7,6,1]=>[7,4,3,2,6,5,1]=>[3,4,2,6,5,7,1]=>[7,4,3,2,6,5,1] [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,4,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7] [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,4,3,6,2,7,1]=>[7,5,3,4,2,6,1]=>[3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1] [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,4,3,6,7,2,1]=>[7,6,3,4,5,2,1]=>[3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1] [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,4,3,7,6,2,1]=>[7,6,3,5,4,2,1]=>[3,5,4,6,2,7,1]=>[7,6,3,5,4,2,1] [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,4,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7] [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,4,6,3,2,7,1]=>[7,5,4,3,2,6,1]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1] [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,4,6,3,7,2,1]=>[7,6,4,3,5,2,1]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1] [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,6,7,3,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,4,7,6,3,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,6,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7] [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,6,4,3,2,7,1]=>[7,5,4,3,2,6,1]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,6,4,3,7,2,1]=>[7,6,4,3,5,2,1]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1] [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,6,4,7,3,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,4,3,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,7,6,4,3,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7] [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,5,4,3,2,7,1]=>[7,5,4,3,2,6,1]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1] [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,5,4,3,7,2,1]=>[7,6,4,3,5,2,1]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1] [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,5,4,7,3,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,5,7,4,3,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,7,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7] [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5] [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,4,7,6,5,8]=>[1,2,3,4,7,6,5,8]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,6,7,5]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,7,8,6,5]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8] [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,3,5,4,6,8,7]=>[1,2,3,5,4,6,8,7]=>[1,2,3,5,4,6,8,7]=>[1,2,3,5,4,6,8,7] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6] [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3,5,4,8,7,6]=>[1,2,3,5,4,8,7,6]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6] [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8] [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7] [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4] [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,3,5,6,8,7,4]=>[1,2,3,8,5,7,6,4]=>[1,2,3,5,7,6,8,4]=>[1,2,3,8,5,7,6,4] [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,3,5,7,6,4,8]=>[1,2,3,7,6,5,4,8]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8] [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,3,5,7,6,8,4]=>[1,2,3,8,6,5,7,4]=>[1,2,3,6,5,7,8,4]=>[1,2,3,8,6,5,7,4] [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,3,5,7,8,6,4]=>[1,2,3,8,7,6,5,4]=>[1,2,3,6,7,5,8,4]=>[1,2,3,8,7,6,5,4] [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,5,8,7,6,4]=>[1,2,3,8,7,6,5,4]=>[1,2,3,6,7,5,8,4]=>[1,2,3,8,7,6,5,4] [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,3,6,5,4,7,8]=>[1,2,3,6,5,4,7,8]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8] [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,3,6,5,4,8,7]=>[1,2,3,6,5,4,8,7]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7] [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,5,6,4,8]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,6,5,7,8,4]=>[1,2,3,8,5,6,7,4]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4] [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,6,5,8,7,4]=>[1,2,3,8,5,7,6,4]=>[1,2,3,5,7,6,8,4]=>[1,2,3,8,5,7,6,4] [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,3,6,7,5,4,8]=>[1,2,3,7,6,5,4,8]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8] [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,3,6,7,5,8,4]=>[1,2,3,8,6,5,7,4]=>[1,2,3,6,5,7,8,4]=>[1,2,3,8,6,5,7,4] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,6,7,8,5,4]=>[1,2,3,8,7,6,5,4]=>[1,2,3,6,7,5,8,4]=>[1,2,3,8,7,6,5,4] [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,6,8,7,5,4]=>[1,2,3,8,7,6,5,4]=>[1,2,3,6,7,5,8,4]=>[1,2,3,8,7,6,5,4] [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,3,7,6,5,4,8]=>[1,2,3,7,6,5,4,8]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,3,7,6,5,8,4]=>[1,2,3,8,6,5,7,4]=>[1,2,3,6,5,7,8,4]=>[1,2,3,8,6,5,7,4] [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,3,7,6,8,5,4]=>[1,2,3,8,7,6,5,4]=>[1,2,3,6,7,5,8,4]=>[1,2,3,8,7,6,5,4] [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,3,7,8,6,5,4]=>[1,2,3,8,7,6,5,4]=>[1,2,3,6,7,5,8,4]=>[1,2,3,8,7,6,5,4] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,8,7,6,5,4]=>[1,2,3,8,7,6,5,4]=>[1,2,3,6,7,5,8,4]=>[1,2,3,8,7,6,5,4] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7] [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8] [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,7,6]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,7,6] [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,2,4,3,5,8,7,6]=>[1,2,4,3,5,8,7,6]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,7,6] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7] [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8]=>[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8] [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5] [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,4,3,6,8,7,5]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,8,7,6,5] [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,8,6,7,5]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5] [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,2,4,3,7,8,6,5]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,8,7,6,5] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,8,7,6,5] [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8] [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,2,4,5,3,7,6,8]=>[1,2,5,4,3,7,6,8]=>[1,2,4,5,3,7,6,8]=>[1,2,5,4,3,7,6,8] [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,2,4,5,3,7,8,6]=>[1,2,5,4,3,8,7,6]=>[1,2,4,5,3,7,8,6]=>[1,2,5,4,3,8,7,6] [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,4,5,3,8,7,6]=>[1,2,5,4,3,8,7,6]=>[1,2,4,5,3,7,8,6]=>[1,2,5,4,3,8,7,6] [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,6,3,7,8]=>[1,2,6,4,5,3,7,8]=>[1,2,4,5,6,3,7,8]=>[1,2,6,4,5,3,7,8] [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,7,3,8]=>[1,2,7,4,5,6,3,8]=>[1,2,4,5,6,7,3,8]=>[1,2,7,4,5,6,3,8] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3] [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,2,4,6,5,7,3,8]=>[1,2,7,5,4,6,3,8]=>[1,2,5,4,6,7,3,8]=>[1,2,7,5,4,6,3,8] [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,2,4,6,5,7,8,3]=>[1,2,8,5,4,6,7,3]=>[1,2,5,4,6,7,8,3]=>[1,2,8,5,4,6,7,3] [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,2,4,6,5,8,7,3]=>[1,2,8,5,4,7,6,3]=>[1,2,5,4,7,6,8,3]=>[1,2,8,5,4,7,6,3] [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,2,4,6,7,5,3,8]=>[1,2,7,6,5,4,3,8]=>[1,2,5,6,4,7,3,8]=>[1,2,7,6,5,4,3,8] [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,4,6,7,8,5,3]=>[1,2,8,7,5,6,4,3]=>[1,2,5,6,7,4,8,3]=>[1,2,8,7,5,6,4,3] [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,4,7,6,8,5,3]=>[1,2,8,7,5,6,4,3]=>[1,2,5,6,7,4,8,3]=>[1,2,8,7,5,6,4,3] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,5,4,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8] [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,5,4,3,7,8,6]=>[1,2,5,4,3,8,7,6]=>[1,2,4,5,3,7,8,6]=>[1,2,5,4,3,8,7,6] [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,5,4,3,8,7,6]=>[1,2,5,4,3,8,7,6]=>[1,2,4,5,3,7,8,6]=>[1,2,5,4,3,8,7,6] [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,2,5,4,6,7,3,8]=>[1,2,7,4,5,6,3,8]=>[1,2,4,5,6,7,3,8]=>[1,2,7,4,5,6,3,8] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,5,4,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3] [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,2,5,6,4,7,3,8]=>[1,2,7,5,4,6,3,8]=>[1,2,5,4,6,7,3,8]=>[1,2,7,5,4,6,3,8] [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,2,5,6,4,7,8,3]=>[1,2,8,5,4,6,7,3]=>[1,2,5,4,6,7,8,3]=>[1,2,8,5,4,6,7,3] [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,2,5,6,7,4,3,8]=>[1,2,7,6,5,4,3,8]=>[1,2,5,6,4,7,3,8]=>[1,2,7,6,5,4,3,8] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,8,4,3]=>[1,2,8,7,5,6,4,3]=>[1,2,5,6,7,4,8,3]=>[1,2,8,7,5,6,4,3] [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,2,5,7,6,4,3,8]=>[1,2,7,6,5,4,3,8]=>[1,2,5,6,4,7,3,8]=>[1,2,7,6,5,4,3,8] [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,2,5,7,6,8,4,3]=>[1,2,8,7,5,6,4,3]=>[1,2,5,6,7,4,8,3]=>[1,2,8,7,5,6,4,3] [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,6,5,4,7,8,3]=>[1,2,8,5,4,6,7,3]=>[1,2,5,4,6,7,8,3]=>[1,2,8,5,4,6,7,3] [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,6,5,4,8,7,3]=>[1,2,8,5,4,7,6,3]=>[1,2,5,4,7,6,8,3]=>[1,2,8,5,4,7,6,3] [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,6,5,7,8,4,3]=>[1,2,8,7,5,6,4,3]=>[1,2,5,6,7,4,8,3]=>[1,2,8,7,5,6,4,3] [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,2,6,7,5,4,3,8]=>[1,2,7,6,5,4,3,8]=>[1,2,5,6,4,7,3,8]=>[1,2,7,6,5,4,3,8] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,7,6,5,4,3,8]=>[1,2,7,6,5,4,3,8]=>[1,2,5,6,4,7,3,8]=>[1,2,7,6,5,4,3,8] [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,7,6,5,8,4,3]=>[1,2,8,7,5,6,4,3]=>[1,2,5,6,7,4,8,3]=>[1,2,8,7,5,6,4,3] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8] [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,7,6]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,7,6] [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,5,8,7,6]=>[1,3,2,4,5,8,7,6]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,7,6] [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8] [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7] [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,3,2,4,6,7,5,8]=>[1,3,2,4,7,6,5,8]=>[1,3,2,4,6,7,5,8]=>[1,3,2,4,7,6,5,8] [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,2,4,6,7,8,5]=>[1,3,2,4,8,6,7,5]=>[1,3,2,4,6,7,8,5]=>[1,3,2,4,8,6,7,5] [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,2,4,6,8,7,5]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,7,6,8,5]=>[1,3,2,4,8,7,6,5] [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,3,2,4,7,6,5,8]=>[1,3,2,4,7,6,5,8]=>[1,3,2,4,6,7,5,8]=>[1,3,2,4,7,6,5,8] [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,3,2,4,7,6,8,5]=>[1,3,2,4,8,6,7,5]=>[1,3,2,4,6,7,8,5]=>[1,3,2,4,8,6,7,5] [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,7,6,8,5]=>[1,3,2,4,8,7,6,5] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6] [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,8,7,6]=>[1,3,2,5,4,8,7,6]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6] [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8] [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,2,5,6,4,8,7]=>[1,3,2,6,5,4,8,7]=>[1,3,2,5,6,4,8,7]=>[1,3,2,6,5,4,8,7] [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,2,5,6,7,4,8]=>[1,3,2,7,5,6,4,8]=>[1,3,2,5,6,7,4,8]=>[1,3,2,7,5,6,4,8] [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,8,4]=>[1,3,2,8,5,6,7,4]=>[1,3,2,5,6,7,8,4]=>[1,3,2,8,5,6,7,4] [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,2,5,6,8,7,4]=>[1,3,2,8,5,7,6,4]=>[1,3,2,5,7,6,8,4]=>[1,3,2,8,5,7,6,4] [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,2,5,7,6,4,8]=>[1,3,2,7,6,5,4,8]=>[1,3,2,6,5,7,4,8]=>[1,3,2,7,6,5,4,8] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,6,8,4]=>[1,3,2,8,6,5,7,4]=>[1,3,2,6,5,7,8,4]=>[1,3,2,8,6,5,7,4] [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,2,5,7,8,6,4]=>[1,3,2,8,7,6,5,4]=>[1,3,2,6,7,5,8,4]=>[1,3,2,8,7,6,5,4] [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,2,5,8,7,6,4]=>[1,3,2,8,7,6,5,4]=>[1,3,2,6,7,5,8,4]=>[1,3,2,8,7,6,5,4] [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,3,2,6,5,4,7,8]=>[1,3,2,6,5,4,7,8]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8] [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,3,2,6,5,4,8,7]=>[1,3,2,6,5,4,8,7]=>[1,3,2,5,6,4,8,7]=>[1,3,2,6,5,4,8,7] [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,2,6,5,7,4,8]=>[1,3,2,7,5,6,4,8]=>[1,3,2,5,6,7,4,8]=>[1,3,2,7,5,6,4,8] [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,5,7,8,4]=>[1,3,2,8,5,6,7,4]=>[1,3,2,5,6,7,8,4]=>[1,3,2,8,5,6,7,4] [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2,6,5,8,7,4]=>[1,3,2,8,5,7,6,4]=>[1,3,2,5,7,6,8,4]=>[1,3,2,8,5,7,6,4] [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,3,2,6,7,5,4,8]=>[1,3,2,7,6,5,4,8]=>[1,3,2,6,5,7,4,8]=>[1,3,2,7,6,5,4,8] [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,2,6,7,5,8,4]=>[1,3,2,8,6,5,7,4]=>[1,3,2,6,5,7,8,4]=>[1,3,2,8,6,5,7,4] [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,3,2,6,7,8,5,4]=>[1,3,2,8,7,6,5,4]=>[1,3,2,6,7,5,8,4]=>[1,3,2,8,7,6,5,4] [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2,6,8,7,5,4]=>[1,3,2,8,7,6,5,4]=>[1,3,2,6,7,5,8,4]=>[1,3,2,8,7,6,5,4] [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,3,2,7,6,5,4,8]=>[1,3,2,7,6,5,4,8]=>[1,3,2,6,5,7,4,8]=>[1,3,2,7,6,5,4,8] [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,3,2,7,6,5,8,4]=>[1,3,2,8,6,5,7,4]=>[1,3,2,6,5,7,8,4]=>[1,3,2,8,6,5,7,4] [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,3,2,7,6,8,5,4]=>[1,3,2,8,7,6,5,4]=>[1,3,2,6,7,5,8,4]=>[1,3,2,8,7,6,5,4] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,8,7,6,5,4]=>[1,3,2,8,7,6,5,4]=>[1,3,2,6,7,5,8,4]=>[1,3,2,8,7,6,5,4] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8] [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,4,2,5,6,8,7]=>[1,4,3,2,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[1,4,3,2,5,6,8,7] [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8] [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6] [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,4,2,5,8,7,6]=>[1,4,3,2,5,8,7,6]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,4,2,6,5,8,7]=>[1,4,3,2,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>[1,4,3,2,6,5,8,7] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8] [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,4,2,6,7,8,5]=>[1,4,3,2,8,6,7,5]=>[1,3,4,2,6,7,8,5]=>[1,4,3,2,8,6,7,5] [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,4,2,6,8,7,5]=>[1,4,3,2,8,7,6,5]=>[1,3,4,2,7,6,8,5]=>[1,4,3,2,8,7,6,5] [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,4,2,7,6,8,5]=>[1,4,3,2,8,6,7,5]=>[1,3,4,2,6,7,8,5]=>[1,4,3,2,8,6,7,5] [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,4,2,7,8,6,5]=>[1,4,3,2,8,7,6,5]=>[1,3,4,2,7,6,8,5]=>[1,4,3,2,8,7,6,5] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,4,2,8,7,6,5]=>[1,4,3,2,8,7,6,5]=>[1,3,4,2,7,6,8,5]=>[1,4,3,2,8,7,6,5] [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8] [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,5,2,7,6,8]=>[1,5,3,4,2,7,6,8]=>[1,3,4,5,2,7,6,8]=>[1,5,3,4,2,7,6,8] [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,5,2,7,8,6]=>[1,5,3,4,2,8,7,6]=>[1,3,4,5,2,7,8,6]=>[1,5,3,4,2,8,7,6] [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,5,2,8,7,6]=>[1,5,3,4,2,8,7,6]=>[1,3,4,5,2,7,8,6]=>[1,5,3,4,2,8,7,6] [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2] [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,8,7,2]=>[1,8,3,4,5,7,6,2]=>[1,3,4,5,7,6,8,2]=>[1,8,3,4,5,7,6,2] [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,5,7,6,2,8]=>[1,7,3,4,6,5,2,8]=>[1,3,4,6,5,7,2,8]=>[1,7,3,4,6,5,2,8] [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,5,7,6,8,2]=>[1,8,3,4,6,5,7,2]=>[1,3,4,6,5,7,8,2]=>[1,8,3,4,6,5,7,2] [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,5,7,8,6,2]=>[1,8,3,4,7,6,5,2]=>[1,3,4,6,7,5,8,2]=>[1,8,3,4,7,6,5,2] [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,8,7,6,2]=>[1,8,3,4,7,6,5,2]=>[1,3,4,6,7,5,8,2]=>[1,8,3,4,7,6,5,2] [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,4,6,5,7,2,8]=>[1,7,3,5,4,6,2,8]=>[1,3,5,4,6,7,2,8]=>[1,7,3,5,4,6,2,8] [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,4,6,5,7,8,2]=>[1,8,3,5,4,6,7,2]=>[1,3,5,4,6,7,8,2]=>[1,8,3,5,4,6,7,2] [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,4,6,7,5,2,8]=>[1,7,3,6,5,4,2,8]=>[1,3,5,6,4,7,2,8]=>[1,7,3,6,5,4,2,8] [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,4,6,7,5,8,2]=>[1,8,3,6,5,4,7,2]=>[1,3,5,6,4,7,8,2]=>[1,8,3,6,5,4,7,2] [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,4,6,7,8,5,2]=>[1,8,3,7,5,6,4,2]=>[1,3,5,6,7,4,8,2]=>[1,8,3,7,5,6,4,2] [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,4,7,6,5,8,2]=>[1,8,3,6,5,4,7,2]=>[1,3,5,6,4,7,8,2]=>[1,8,3,6,5,4,7,2] [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,4,7,6,8,5,2]=>[1,8,3,7,5,6,4,2]=>[1,3,5,6,7,4,8,2]=>[1,8,3,7,5,6,4,2] [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,4,8,7,6,5,2]=>[1,8,3,7,6,5,4,2]=>[1,3,6,5,7,4,8,2]=>[1,8,3,7,6,5,4,2] [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,3,5,4,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[1,4,3,5,2,6,7,8]=>[1,5,4,3,2,6,7,8] [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,3,5,4,2,7,6,8]=>[1,5,4,3,2,7,6,8]=>[1,4,3,5,2,7,6,8]=>[1,5,4,3,2,7,6,8] [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,3,5,4,2,7,8,6]=>[1,5,4,3,2,8,7,6]=>[1,4,3,5,2,7,8,6]=>[1,5,4,3,2,8,7,6] [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,3,5,4,6,2,7,8]=>[1,6,4,3,5,2,7,8]=>[1,4,3,5,6,2,7,8]=>[1,6,4,3,5,2,7,8] [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,5,4,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[1,4,3,5,6,7,8,2]=>[1,8,4,3,5,6,7,2] [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,3,5,4,7,6,2,8]=>[1,7,4,3,6,5,2,8]=>[1,4,3,6,5,7,2,8]=>[1,7,4,3,6,5,2,8] [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,5,4,7,6,8,2]=>[1,8,4,3,6,5,7,2]=>[1,4,3,6,5,7,8,2]=>[1,8,4,3,6,5,7,2] [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,5,4,7,8,6,2]=>[1,8,4,3,7,6,5,2]=>[1,4,3,6,7,5,8,2]=>[1,8,4,3,7,6,5,2] [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,5,4,8,7,6,2]=>[1,8,4,3,7,6,5,2]=>[1,4,3,6,7,5,8,2]=>[1,8,4,3,7,6,5,2] [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,3,5,6,4,2,7,8]=>[1,6,5,4,3,2,7,8]=>[1,4,5,3,6,2,7,8]=>[1,6,5,4,3,2,7,8] [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,5,6,4,7,2,8]=>[1,7,5,4,3,6,2,8]=>[1,4,5,3,6,7,2,8]=>[1,7,5,4,3,6,2,8] [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,3,5,6,4,7,8,2]=>[1,8,5,4,3,6,7,2]=>[1,4,5,3,6,7,8,2]=>[1,8,5,4,3,6,7,2] [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,3,5,6,7,4,2,8]=>[1,7,6,4,5,3,2,8]=>[1,4,5,6,3,7,2,8]=>[1,7,6,4,5,3,2,8] [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,3,5,7,6,4,2,8]=>[1,7,6,5,4,3,2,8]=>[1,5,4,6,3,7,2,8]=>[1,7,6,5,4,3,2,8] [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,5,7,6,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,5,4,6,3,7,8,2]=>[1,8,6,5,4,3,7,2] [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,5,7,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,5,4,6,7,3,8,2]=>[1,8,7,5,4,6,3,2] [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,5,7,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,5,8,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,3,6,5,4,7,2,8]=>[1,7,5,4,3,6,2,8]=>[1,4,5,3,6,7,2,8]=>[1,7,5,4,3,6,2,8] [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,3,6,5,7,4,2,8]=>[1,7,6,4,5,3,2,8]=>[1,4,5,6,3,7,2,8]=>[1,7,6,4,5,3,2,8] [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,3,6,7,5,4,2,8]=>[1,7,6,5,4,3,2,8]=>[1,5,4,6,3,7,2,8]=>[1,7,6,5,4,3,2,8] [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,6,7,5,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,5,4,6,7,3,8,2]=>[1,8,7,5,4,6,3,2] [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,6,7,8,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,3,6,8,7,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,3,7,6,5,4,2,8]=>[1,7,6,5,4,3,2,8]=>[1,5,4,6,3,7,2,8]=>[1,7,6,5,4,3,2,8] [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,7,8,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,8,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8] [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,4,3,2,5,6,8,7]=>[1,4,3,2,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[1,4,3,2,5,6,8,7] [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,4,3,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8] [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,4,3,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6] [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,4,3,2,5,8,7,6]=>[1,4,3,2,5,8,7,6]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6] [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,4,3,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8] [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,4,3,2,6,7,8,5]=>[1,4,3,2,8,6,7,5]=>[1,3,4,2,6,7,8,5]=>[1,4,3,2,8,6,7,5] [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,4,3,2,6,8,7,5]=>[1,4,3,2,8,7,6,5]=>[1,3,4,2,7,6,8,5]=>[1,4,3,2,8,7,6,5] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8] [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,4,3,2,7,6,8,5]=>[1,4,3,2,8,6,7,5]=>[1,3,4,2,6,7,8,5]=>[1,4,3,2,8,6,7,5] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,4,3,2,8,7,6,5]=>[1,4,3,2,8,7,6,5]=>[1,3,4,2,7,6,8,5]=>[1,4,3,2,8,7,6,5] [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,4,3,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8] [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,4,3,5,2,7,6,8]=>[1,5,3,4,2,7,6,8]=>[1,3,4,5,2,7,6,8]=>[1,5,3,4,2,7,6,8] [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,4,3,5,2,7,8,6]=>[1,5,3,4,2,8,7,6]=>[1,3,4,5,2,7,8,6]=>[1,5,3,4,2,8,7,6] [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,4,3,5,2,8,7,6]=>[1,5,3,4,2,8,7,6]=>[1,3,4,5,2,7,8,6]=>[1,5,3,4,2,8,7,6] [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,4,3,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8] [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2] [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,4,3,5,7,6,2,8]=>[1,7,3,4,6,5,2,8]=>[1,3,4,6,5,7,2,8]=>[1,7,3,4,6,5,2,8] [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,3,5,7,8,6,2]=>[1,8,3,4,7,6,5,2]=>[1,3,4,6,7,5,8,2]=>[1,8,3,4,7,6,5,2] [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,3,5,8,7,6,2]=>[1,8,3,4,7,6,5,2]=>[1,3,4,6,7,5,8,2]=>[1,8,3,4,7,6,5,2] [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,4,3,6,5,2,7,8]=>[1,6,3,5,4,2,7,8]=>[1,3,5,4,6,2,7,8]=>[1,6,3,5,4,2,7,8] [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,4,3,6,5,7,2,8]=>[1,7,3,5,4,6,2,8]=>[1,3,5,4,6,7,2,8]=>[1,7,3,5,4,6,2,8] [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,3,6,5,7,8,2]=>[1,8,3,5,4,6,7,2]=>[1,3,5,4,6,7,8,2]=>[1,8,3,5,4,6,7,2] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,8,7,2]=>[1,8,3,5,4,7,6,2]=>[1,3,5,4,7,6,8,2]=>[1,8,3,5,4,7,6,2] [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,4,3,6,7,5,8,2]=>[1,8,3,6,5,4,7,2]=>[1,3,5,6,4,7,8,2]=>[1,8,3,6,5,4,7,2] [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,3,6,7,8,5,2]=>[1,8,3,7,5,6,4,2]=>[1,3,5,6,7,4,8,2]=>[1,8,3,7,5,6,4,2] [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,3,6,8,7,5,2]=>[1,8,3,7,6,5,4,2]=>[1,3,6,5,7,4,8,2]=>[1,8,3,7,6,5,4,2] [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,3,7,6,8,5,2]=>[1,8,3,7,5,6,4,2]=>[1,3,5,6,7,4,8,2]=>[1,8,3,7,5,6,4,2] [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,3,7,8,6,5,2]=>[1,8,3,7,6,5,4,2]=>[1,3,6,5,7,4,8,2]=>[1,8,3,7,6,5,4,2] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,3,8,7,6,5,2]=>[1,8,3,7,6,5,4,2]=>[1,3,6,5,7,4,8,2]=>[1,8,3,7,6,5,4,2] [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,4,5,3,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[1,4,3,5,2,6,7,8]=>[1,5,4,3,2,6,7,8] [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,4,5,3,2,7,6,8]=>[1,5,4,3,2,7,6,8]=>[1,4,3,5,2,7,6,8]=>[1,5,4,3,2,7,6,8] [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,4,5,3,2,7,8,6]=>[1,5,4,3,2,8,7,6]=>[1,4,3,5,2,7,8,6]=>[1,5,4,3,2,8,7,6] [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,4,5,3,2,8,7,6]=>[1,5,4,3,2,8,7,6]=>[1,4,3,5,2,7,8,6]=>[1,5,4,3,2,8,7,6] [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,4,5,3,6,2,7,8]=>[1,6,4,3,5,2,7,8]=>[1,4,3,5,6,2,7,8]=>[1,6,4,3,5,2,7,8] [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,4,5,3,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[1,4,3,5,6,7,8,2]=>[1,8,4,3,5,6,7,2] [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,4,5,3,7,8,6,2]=>[1,8,4,3,7,6,5,2]=>[1,4,3,6,7,5,8,2]=>[1,8,4,3,7,6,5,2] [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,4,5,3,8,7,6,2]=>[1,8,4,3,7,6,5,2]=>[1,4,3,6,7,5,8,2]=>[1,8,4,3,7,6,5,2] [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,4,5,6,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[1,4,5,3,6,2,7,8]=>[1,6,5,4,3,2,7,8] [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,6,3,7,2,8]=>[1,7,5,4,3,6,2,8]=>[1,4,5,3,6,7,2,8]=>[1,7,5,4,3,6,2,8] [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,7,3,2,8]=>[1,7,6,4,5,3,2,8]=>[1,4,5,6,3,7,2,8]=>[1,7,6,4,5,3,2,8] [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,4,5,7,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,4,5,8,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,4,6,5,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[1,4,5,3,6,2,7,8]=>[1,6,5,4,3,2,7,8] [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,4,6,5,7,3,2,8]=>[1,7,6,4,5,3,2,8]=>[1,4,5,6,3,7,2,8]=>[1,7,6,4,5,3,2,8] [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,4,6,7,5,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,5,4,6,3,7,2,8]=>[1,7,6,5,4,3,2,8] [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,4,6,7,5,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,5,4,6,3,7,8,2]=>[1,8,6,5,4,3,7,2] [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,4,6,7,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,5,4,6,7,3,8,2]=>[1,8,7,5,4,6,3,2] [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,4,6,7,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,4,6,8,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,4,7,6,5,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,5,4,6,3,7,2,8]=>[1,7,6,5,4,3,2,8] [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,4,7,6,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,5,4,6,7,3,8,2]=>[1,8,7,5,4,6,3,2] [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,4,7,8,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,4,8,7,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,5,4,3,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[1,4,3,5,2,6,7,8]=>[1,5,4,3,2,6,7,8] [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,5,4,3,2,7,6,8]=>[1,5,4,3,2,7,6,8]=>[1,4,3,5,2,7,6,8]=>[1,5,4,3,2,7,6,8] [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,5,4,3,2,7,8,6]=>[1,5,4,3,2,8,7,6]=>[1,4,3,5,2,7,8,6]=>[1,5,4,3,2,8,7,6] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,5,4,3,2,8,7,6]=>[1,5,4,3,2,8,7,6]=>[1,4,3,5,2,7,8,6]=>[1,5,4,3,2,8,7,6] [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,5,4,3,6,2,7,8]=>[1,6,4,3,5,2,7,8]=>[1,4,3,5,6,2,7,8]=>[1,6,4,3,5,2,7,8] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,4,3,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[1,4,3,5,6,7,8,2]=>[1,8,4,3,5,6,7,2] [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,5,4,3,8,7,6,2]=>[1,8,4,3,7,6,5,2]=>[1,4,3,6,7,5,8,2]=>[1,8,4,3,7,6,5,2] [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,5,4,6,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[1,4,5,3,6,2,7,8]=>[1,6,5,4,3,2,7,8] [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,5,4,6,3,7,2,8]=>[1,7,5,4,3,6,2,8]=>[1,4,5,3,6,7,2,8]=>[1,7,5,4,3,6,2,8] [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,5,4,6,3,7,8,2]=>[1,8,5,4,3,6,7,2]=>[1,4,5,3,6,7,8,2]=>[1,8,5,4,3,6,7,2] [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,5,4,6,7,3,2,8]=>[1,7,6,4,5,3,2,8]=>[1,4,5,6,3,7,2,8]=>[1,7,6,4,5,3,2,8] [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,5,4,7,6,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,5,4,6,3,7,2,8]=>[1,7,6,5,4,3,2,8] [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,5,4,7,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,5,6,4,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[1,4,5,3,6,2,7,8]=>[1,6,5,4,3,2,7,8] [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,5,6,4,7,3,2,8]=>[1,7,6,4,5,3,2,8]=>[1,4,5,6,3,7,2,8]=>[1,7,6,4,5,3,2,8] [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,5,6,7,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,5,4,6,3,7,2,8]=>[1,7,6,5,4,3,2,8] [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,5,6,7,4,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,5,4,6,3,7,8,2]=>[1,8,6,5,4,3,7,2] [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,5,7,6,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,5,8,7,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,6,5,4,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[1,4,5,3,6,2,7,8]=>[1,6,5,4,3,2,7,8] [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,6,5,4,3,7,8,2]=>[1,8,5,4,3,6,7,2]=>[1,4,5,3,6,7,8,2]=>[1,8,5,4,3,6,7,2] [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,6,5,7,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,5,4,6,3,7,2,8]=>[1,7,6,5,4,3,2,8] [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,6,5,7,4,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,5,4,6,3,7,8,2]=>[1,8,6,5,4,3,7,2] [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,6,5,7,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,6,5,8,7,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,6,7,5,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,5,4,6,3,7,2,8]=>[1,7,6,5,4,3,2,8] [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,6,7,5,4,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,5,4,6,3,7,8,2]=>[1,8,6,5,4,3,7,2] [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,6,7,5,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,6,7,8,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,6,8,7,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,7,6,5,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,5,4,6,3,7,2,8]=>[1,7,6,5,4,3,2,8] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,7,6,5,4,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,5,4,6,3,7,8,2]=>[1,8,6,5,4,3,7,2] [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,7,6,5,4,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,5,4,6,7,3,8,2]=>[1,8,7,5,4,6,3,2] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,7,6,5,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,7,6,8,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,7,8,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7] [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,7,6,8]=>[2,1,3,4,5,7,6,8]=>[2,1,3,4,5,7,6,8]=>[2,1,3,4,5,7,6,8] [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,7,8,6]=>[2,1,3,4,5,8,7,6]=>[2,1,3,4,5,7,8,6]=>[2,1,3,4,5,8,7,6] [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,5,8,7,6]=>[2,1,3,4,5,8,7,6]=>[2,1,3,4,5,7,8,6]=>[2,1,3,4,5,8,7,6] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,4,6,5,7,8]=>[2,1,3,4,6,5,7,8]=>[2,1,3,4,6,5,7,8]=>[2,1,3,4,6,5,7,8] [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,4,6,5,8,7]=>[2,1,3,4,6,5,8,7]=>[2,1,3,4,6,5,8,7]=>[2,1,3,4,6,5,8,7] [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,4,6,7,8,5]=>[2,1,3,4,8,6,7,5]=>[2,1,3,4,6,7,8,5]=>[2,1,3,4,8,6,7,5] [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,4,7,6,8,5]=>[2,1,3,4,8,6,7,5]=>[2,1,3,4,6,7,8,5]=>[2,1,3,4,8,6,7,5] [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,4,7,8,6,5]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,7,6,8,5]=>[2,1,3,4,8,7,6,5] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,7,6,8,5]=>[2,1,3,4,8,7,6,5] [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,3,5,4,6,7,8]=>[2,1,3,5,4,6,7,8]=>[2,1,3,5,4,6,7,8]=>[2,1,3,5,4,6,7,8] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4,6,8,7]=>[2,1,3,5,4,6,8,7]=>[2,1,3,5,4,6,8,7]=>[2,1,3,5,4,6,8,7] [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,3,5,4,7,8,6]=>[2,1,3,5,4,8,7,6]=>[2,1,3,5,4,7,8,6]=>[2,1,3,5,4,8,7,6] [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,3,5,4,8,7,6]=>[2,1,3,5,4,8,7,6]=>[2,1,3,5,4,7,8,6]=>[2,1,3,5,4,8,7,6] [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,3,5,6,4,8,7]=>[2,1,3,6,5,4,8,7]=>[2,1,3,5,6,4,8,7]=>[2,1,3,6,5,4,8,7] [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,8,4]=>[2,1,3,8,5,6,7,4]=>[2,1,3,5,6,7,8,4]=>[2,1,3,8,5,6,7,4] [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,6,5,4,8,7]=>[2,1,3,6,5,4,8,7]=>[2,1,3,5,6,4,8,7]=>[2,1,3,6,5,4,8,7] [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,3,6,5,8,7,4]=>[2,1,3,8,5,7,6,4]=>[2,1,3,5,7,6,8,4]=>[2,1,3,8,5,7,6,4] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>[2,1,4,3,5,6,7,8] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,4,3,5,6,8,7]=>[2,1,4,3,5,6,8,7]=>[2,1,4,3,5,6,8,7]=>[2,1,4,3,5,6,8,7] [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,4,3,5,7,8,6]=>[2,1,4,3,5,8,7,6]=>[2,1,4,3,5,7,8,6]=>[2,1,4,3,5,8,7,6] [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,4,3,5,8,7,6]=>[2,1,4,3,5,8,7,6]=>[2,1,4,3,5,7,8,6]=>[2,1,4,3,5,8,7,6] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,5,7,8]=>[2,1,4,3,6,5,7,8]=>[2,1,4,3,6,5,7,8]=>[2,1,4,3,6,5,7,8] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7] [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,3,6,7,5,8]=>[2,1,4,3,7,6,5,8]=>[2,1,4,3,6,7,5,8]=>[2,1,4,3,7,6,5,8] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,6,7,5]=>[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,6,7,5] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,7,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,7,6,8,5]=>[2,1,4,3,8,7,6,5] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,8,5]=>[2,1,4,3,8,6,7,5]=>[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,6,7,5] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,3,7,8,6,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,7,6,8,5]=>[2,1,4,3,8,7,6,5] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,7,6,8,5]=>[2,1,4,3,8,7,6,5] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,4,5,3,6,7,8]=>[2,1,5,4,3,6,7,8]=>[2,1,4,5,3,6,7,8]=>[2,1,5,4,3,6,7,8] [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,4,5,3,6,8,7]=>[2,1,5,4,3,6,8,7]=>[2,1,4,5,3,6,8,7]=>[2,1,5,4,3,6,8,7] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,6,3,8,7]=>[2,1,6,4,5,3,8,7]=>[2,1,4,5,6,3,8,7]=>[2,1,6,4,5,3,8,7] [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,7,3,8]=>[2,1,7,4,5,6,3,8]=>[2,1,4,5,6,7,3,8]=>[2,1,7,4,5,6,3,8] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,3]=>[2,1,8,4,5,6,7,3]=>[2,1,4,5,6,7,8,3]=>[2,1,8,4,5,6,7,3] [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,4,5,7,8,6,3]=>[2,1,8,4,7,6,5,3]=>[2,1,4,6,7,5,8,3]=>[2,1,8,4,7,6,5,3] [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,4,5,8,7,6,3]=>[2,1,8,4,7,6,5,3]=>[2,1,4,6,7,5,8,3]=>[2,1,8,4,7,6,5,3] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,5,4,6,3,8,7]=>[2,1,6,5,4,3,8,7] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,6,5,8,7,3]=>[2,1,8,5,4,7,6,3]=>[2,1,5,4,7,6,8,3]=>[2,1,8,5,4,7,6,3] [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,1,4,6,7,5,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,5,6,4,7,8,3]=>[2,1,8,6,5,4,7,3] [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,4,6,7,8,5,3]=>[2,1,8,7,5,6,4,3]=>[2,1,5,6,7,4,8,3]=>[2,1,8,7,5,6,4,3] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,6,8,7,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,6,5,7,4,8,3]=>[2,1,8,7,6,5,4,3] [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,4,7,6,5,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,5,6,4,7,8,3]=>[2,1,8,6,5,4,7,3] [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,4,7,6,8,5,3]=>[2,1,8,7,5,6,4,3]=>[2,1,5,6,7,4,8,3]=>[2,1,8,7,5,6,4,3] [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,4,7,8,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,6,5,7,4,8,3]=>[2,1,8,7,6,5,4,3] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4,8,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,6,5,7,4,8,3]=>[2,1,8,7,6,5,4,3] [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,5,4,3,6,7,8]=>[2,1,5,4,3,6,7,8]=>[2,1,4,5,3,6,7,8]=>[2,1,5,4,3,6,7,8] [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,1,5,4,3,6,8,7]=>[2,1,5,4,3,6,8,7]=>[2,1,4,5,3,6,8,7]=>[2,1,5,4,3,6,8,7] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7]=>[2,1,6,4,5,3,8,7]=>[2,1,4,5,6,3,8,7]=>[2,1,6,4,5,3,8,7] [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,5,4,6,7,3,8]=>[2,1,7,4,5,6,3,8]=>[2,1,4,5,6,7,3,8]=>[2,1,7,4,5,6,3,8] [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,5,4,6,7,8,3]=>[2,1,8,4,5,6,7,3]=>[2,1,4,5,6,7,8,3]=>[2,1,8,4,5,6,7,3] [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,1,5,4,7,8,6,3]=>[2,1,8,4,7,6,5,3]=>[2,1,4,6,7,5,8,3]=>[2,1,8,4,7,6,5,3] [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,5,4,8,7,6,3]=>[2,1,8,4,7,6,5,3]=>[2,1,4,6,7,5,8,3]=>[2,1,8,4,7,6,5,3] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,5,6,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,5,4,6,3,8,7]=>[2,1,6,5,4,3,8,7] [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,1,5,6,4,7,8,3]=>[2,1,8,5,4,6,7,3]=>[2,1,5,4,6,7,8,3]=>[2,1,8,5,4,6,7,3] [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,1,5,6,4,8,7,3]=>[2,1,8,5,4,7,6,3]=>[2,1,5,4,7,6,8,3]=>[2,1,8,5,4,7,6,3] [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,1,5,6,7,4,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,5,6,4,7,8,3]=>[2,1,8,6,5,4,7,3] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,8,4,3]=>[2,1,8,7,5,6,4,3]=>[2,1,5,6,7,4,8,3]=>[2,1,8,7,5,6,4,3] [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,1,5,6,8,7,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,6,5,7,4,8,3]=>[2,1,8,7,6,5,4,3] [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,1,5,7,6,4,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,5,6,4,7,8,3]=>[2,1,8,6,5,4,7,3] [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,5,7,6,8,4,3]=>[2,1,8,7,5,6,4,3]=>[2,1,5,6,7,4,8,3]=>[2,1,8,7,5,6,4,3] [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,5,7,8,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,6,5,7,4,8,3]=>[2,1,8,7,6,5,4,3] [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,5,8,7,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,6,5,7,4,8,3]=>[2,1,8,7,6,5,4,3] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,5,4,6,3,8,7]=>[2,1,6,5,4,3,8,7] [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,6,5,4,8,7,3]=>[2,1,8,5,4,7,6,3]=>[2,1,5,4,7,6,8,3]=>[2,1,8,5,4,7,6,3] [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,6,5,7,4,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,5,6,4,7,8,3]=>[2,1,8,6,5,4,7,3] [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,6,5,7,8,4,3]=>[2,1,8,7,5,6,4,3]=>[2,1,5,6,7,4,8,3]=>[2,1,8,7,5,6,4,3] [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,6,5,8,7,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,6,5,7,4,8,3]=>[2,1,8,7,6,5,4,3] [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,1,6,7,5,4,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,5,6,4,7,8,3]=>[2,1,8,6,5,4,7,3] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,1,6,7,5,8,4,3]=>[2,1,8,7,5,6,4,3]=>[2,1,5,6,7,4,8,3]=>[2,1,8,7,5,6,4,3] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,6,7,8,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,6,5,7,4,8,3]=>[2,1,8,7,6,5,4,3] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,6,8,7,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,6,5,7,4,8,3]=>[2,1,8,7,6,5,4,3] [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,7,6,5,4,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,5,6,4,7,8,3]=>[2,1,8,6,5,4,7,3] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,7,6,5,8,4,3]=>[2,1,8,7,5,6,4,3]=>[2,1,5,6,7,4,8,3]=>[2,1,8,7,5,6,4,3] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,7,6,8,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,6,5,7,4,8,3]=>[2,1,8,7,6,5,4,3] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,7,8,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,6,5,7,4,8,3]=>[2,1,8,7,6,5,4,3] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,6,5,7,4,8,3]=>[2,1,8,7,6,5,4,3] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]=>[2,3,1,4,5,6,8,7]=>[3,2,1,4,5,6,8,7] [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,5,7,6,8]=>[3,2,1,4,5,7,6,8]=>[2,3,1,4,5,7,6,8]=>[3,2,1,4,5,7,6,8] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>[3,2,1,4,5,8,7,6]=>[2,3,1,4,5,7,8,6]=>[3,2,1,4,5,8,7,6] [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,3,1,4,6,5,8,7]=>[3,2,1,4,6,5,8,7]=>[2,3,1,4,6,5,8,7]=>[3,2,1,4,6,5,8,7] [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,1,4,6,7,5,8]=>[3,2,1,4,7,6,5,8]=>[2,3,1,4,6,7,5,8]=>[3,2,1,4,7,6,5,8] [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,1,4,6,7,8,5]=>[3,2,1,4,8,6,7,5]=>[2,3,1,4,6,7,8,5]=>[3,2,1,4,8,6,7,5] [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,7,6,8,5]=>[3,2,1,4,8,6,7,5]=>[2,3,1,4,6,7,8,5]=>[3,2,1,4,8,6,7,5] [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,1,4,7,8,6,5]=>[3,2,1,4,8,7,6,5]=>[2,3,1,4,7,6,8,5]=>[3,2,1,4,8,7,6,5] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,8,7,6,5]=>[3,2,1,4,8,7,6,5]=>[2,3,1,4,7,6,8,5]=>[3,2,1,4,8,7,6,5] [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,3,1,5,4,6,7,8]=>[3,2,1,5,4,6,7,8]=>[2,3,1,5,4,6,7,8]=>[3,2,1,5,4,6,7,8] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[2,3,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8] [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,3,1,5,6,4,7,8]=>[3,2,1,6,5,4,7,8]=>[2,3,1,5,6,4,7,8]=>[3,2,1,6,5,4,7,8] [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,3,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>[2,3,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8] [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[2,3,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4] [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,3,1,5,7,8,6,4]=>[3,2,1,8,7,6,5,4]=>[2,3,1,6,7,5,8,4]=>[3,2,1,8,7,6,5,4] [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,3,1,6,5,4,7,8]=>[3,2,1,6,5,4,7,8]=>[2,3,1,5,6,4,7,8]=>[3,2,1,6,5,4,7,8] [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,6,5,7,4,8]=>[3,2,1,7,5,6,4,8]=>[2,3,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8] [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,1,6,5,8,7,4]=>[3,2,1,8,5,7,6,4]=>[2,3,1,5,7,6,8,4]=>[3,2,1,8,5,7,6,4] [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,3,1,6,7,5,4,8]=>[3,2,1,7,6,5,4,8]=>[2,3,1,6,5,7,4,8]=>[3,2,1,7,6,5,4,8] [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,1,6,7,8,5,4]=>[3,2,1,8,7,6,5,4]=>[2,3,1,6,7,5,8,4]=>[3,2,1,8,7,6,5,4] [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,1,6,8,7,5,4]=>[3,2,1,8,7,6,5,4]=>[2,3,1,6,7,5,8,4]=>[3,2,1,8,7,6,5,4] [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,1,7,6,8,5,4]=>[3,2,1,8,7,6,5,4]=>[2,3,1,6,7,5,8,4]=>[3,2,1,8,7,6,5,4] [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,1,7,8,6,5,4]=>[3,2,1,8,7,6,5,4]=>[2,3,1,6,7,5,8,4]=>[3,2,1,8,7,6,5,4] [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[2,3,1,6,7,5,8,4]=>[3,2,1,8,7,6,5,4] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8] [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,4,1,5,6,8,7]=>[4,2,3,1,5,6,8,7]=>[2,3,4,1,5,6,8,7]=>[4,2,3,1,5,6,8,7] [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,4,1,5,7,6,8]=>[4,2,3,1,5,7,6,8]=>[2,3,4,1,5,7,6,8]=>[4,2,3,1,5,7,6,8] [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,4,1,5,7,8,6]=>[4,2,3,1,5,8,7,6]=>[2,3,4,1,5,7,8,6]=>[4,2,3,1,5,8,7,6] [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,4,1,5,8,7,6]=>[4,2,3,1,5,8,7,6]=>[2,3,4,1,5,7,8,6]=>[4,2,3,1,5,8,7,6] [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,4,1,6,5,7,8]=>[4,2,3,1,6,5,7,8]=>[2,3,4,1,6,5,7,8]=>[4,2,3,1,6,5,7,8] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[2,3,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7] [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,4,1,6,7,5,8]=>[4,2,3,1,7,6,5,8]=>[2,3,4,1,6,7,5,8]=>[4,2,3,1,7,6,5,8] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5] [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,4,1,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[2,3,4,1,7,6,8,5]=>[4,2,3,1,8,7,6,5] [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,4,1,7,6,5,8]=>[4,2,3,1,7,6,5,8]=>[2,3,4,1,6,7,5,8]=>[4,2,3,1,7,6,5,8] [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,4,1,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5] [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[2,3,4,1,7,6,8,5]=>[4,2,3,1,8,7,6,5] [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[2,3,4,1,7,6,8,5]=>[4,2,3,1,8,7,6,5] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8] [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,5,1,6,8,7]=>[5,2,3,4,1,6,8,7]=>[2,3,4,5,1,6,8,7]=>[5,2,3,4,1,6,8,7] [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,1,7,6,8]=>[5,2,3,4,1,7,6,8]=>[2,3,4,5,1,7,6,8]=>[5,2,3,4,1,7,6,8] [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,1,7,8,6]=>[5,2,3,4,1,8,7,6]=>[2,3,4,5,1,7,8,6]=>[5,2,3,4,1,8,7,6] [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,1,8,7,6]=>[5,2,3,4,1,8,7,6]=>[2,3,4,5,1,7,8,6]=>[5,2,3,4,1,8,7,6] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]=>[2,3,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,1,8,7]=>[6,2,3,4,5,1,8,7]=>[2,3,4,5,6,1,8,7]=>[6,2,3,4,5,1,8,7] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]=>[2,3,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]=>[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,8,7,1]=>[8,2,3,4,5,7,6,1]=>[2,3,4,5,7,6,8,1]=>[8,2,3,4,5,7,6,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,7,6,1,8]=>[7,2,3,4,6,5,1,8]=>[2,3,4,6,5,7,1,8]=>[7,2,3,4,6,5,1,8] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,7,6,8,1]=>[8,2,3,4,6,5,7,1]=>[2,3,4,6,5,7,8,1]=>[8,2,3,4,6,5,7,1] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,7,8,6,1]=>[8,2,3,4,7,6,5,1]=>[2,3,4,6,7,5,8,1]=>[8,2,3,4,7,6,5,1] [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,8,7,6,1]=>[8,2,3,4,7,6,5,1]=>[2,3,4,6,7,5,8,1]=>[8,2,3,4,7,6,5,1] [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,4,6,5,1,7,8]=>[6,2,3,5,4,1,7,8]=>[2,3,5,4,6,1,7,8]=>[6,2,3,5,4,1,7,8] [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,4,6,5,7,1,8]=>[7,2,3,5,4,6,1,8]=>[2,3,5,4,6,7,1,8]=>[7,2,3,5,4,6,1,8] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,1]=>[8,2,3,5,4,6,7,1]=>[2,3,5,4,6,7,8,1]=>[8,2,3,5,4,6,7,1] [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,4,6,5,8,7,1]=>[8,2,3,5,4,7,6,1]=>[2,3,5,4,7,6,8,1]=>[8,2,3,5,4,7,6,1] [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,4,6,7,5,1,8]=>[7,2,3,6,5,4,1,8]=>[2,3,5,6,4,7,1,8]=>[7,2,3,6,5,4,1,8] [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,4,6,7,5,8,1]=>[8,2,3,6,5,4,7,1]=>[2,3,5,6,4,7,8,1]=>[8,2,3,6,5,4,7,1] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,6,7,8,5,1]=>[8,2,3,7,5,6,4,1]=>[2,3,5,6,7,4,8,1]=>[8,2,3,7,5,6,4,1] [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,4,7,6,5,1,8]=>[7,2,3,6,5,4,1,8]=>[2,3,5,6,4,7,1,8]=>[7,2,3,6,5,4,1,8] [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,4,7,6,5,8,1]=>[8,2,3,6,5,4,7,1]=>[2,3,5,6,4,7,8,1]=>[8,2,3,6,5,4,7,1] [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,4,7,6,8,5,1]=>[8,2,3,7,5,6,4,1]=>[2,3,5,6,7,4,8,1]=>[8,2,3,7,5,6,4,1] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,5,4,1,6,7,8]=>[5,2,4,3,1,6,7,8]=>[2,4,3,5,1,6,7,8]=>[5,2,4,3,1,6,7,8] [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,3,5,4,1,6,8,7]=>[5,2,4,3,1,6,8,7]=>[2,4,3,5,1,6,8,7]=>[5,2,4,3,1,6,8,7] [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,3,5,4,1,7,6,8]=>[5,2,4,3,1,7,6,8]=>[2,4,3,5,1,7,6,8]=>[5,2,4,3,1,7,6,8] [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,5,4,1,8,7,6]=>[5,2,4,3,1,8,7,6]=>[2,4,3,5,1,7,8,6]=>[5,2,4,3,1,8,7,6] [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,5,4,6,7,8,1]=>[8,2,4,3,5,6,7,1]=>[2,4,3,5,6,7,8,1]=>[8,2,4,3,5,6,7,1] [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,5,4,7,6,8,1]=>[8,2,4,3,6,5,7,1]=>[2,4,3,6,5,7,8,1]=>[8,2,4,3,6,5,7,1] [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,5,4,7,8,6,1]=>[8,2,4,3,7,6,5,1]=>[2,4,3,6,7,5,8,1]=>[8,2,4,3,7,6,5,1] [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,5,4,8,7,6,1]=>[8,2,4,3,7,6,5,1]=>[2,4,3,6,7,5,8,1]=>[8,2,4,3,7,6,5,1] [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,3,5,6,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[2,4,5,3,6,1,8,7]=>[6,2,5,4,3,1,8,7] [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,3,5,6,4,7,1,8]=>[7,2,5,4,3,6,1,8]=>[2,4,5,3,6,7,1,8]=>[7,2,5,4,3,6,1,8] [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,5,6,4,7,8,1]=>[8,2,5,4,3,6,7,1]=>[2,4,5,3,6,7,8,1]=>[8,2,5,4,3,6,7,1] [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,3,5,6,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[2,4,5,6,3,7,1,8]=>[7,2,6,4,5,3,1,8] [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,5,6,7,4,8,1]=>[8,2,6,4,5,3,7,1]=>[2,4,5,6,3,7,8,1]=>[8,2,6,4,5,3,7,1] [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,8,4,1]=>[8,2,7,4,5,6,3,1]=>[2,4,5,6,7,3,8,1]=>[8,2,7,4,5,6,3,1] [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,5,6,8,7,4,1]=>[8,2,7,4,6,5,3,1]=>[2,4,6,5,7,3,8,1]=>[8,2,7,4,6,5,3,1] [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,3,5,7,6,4,1,8]=>[7,2,6,5,4,3,1,8]=>[2,5,4,6,3,7,1,8]=>[7,2,6,5,4,3,1,8] [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,5,7,6,4,8,1]=>[8,2,6,5,4,3,7,1]=>[2,5,4,6,3,7,8,1]=>[8,2,6,5,4,3,7,1] [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,5,7,6,8,4,1]=>[8,2,7,5,4,6,3,1]=>[2,5,4,6,7,3,8,1]=>[8,2,7,5,4,6,3,1] [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,6,5,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[2,4,5,3,6,1,8,7]=>[6,2,5,4,3,1,8,7] [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,6,5,4,7,8,1]=>[8,2,5,4,3,6,7,1]=>[2,4,5,3,6,7,8,1]=>[8,2,5,4,3,6,7,1] [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,3,6,5,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[2,4,5,6,3,7,1,8]=>[7,2,6,4,5,3,1,8] [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,6,5,8,7,4,1]=>[8,2,7,4,6,5,3,1]=>[2,4,6,5,7,3,8,1]=>[8,2,7,4,6,5,3,1] [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,3,6,7,5,4,1,8]=>[7,2,6,5,4,3,1,8]=>[2,5,4,6,3,7,1,8]=>[7,2,6,5,4,3,1,8] [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,3,7,6,5,4,1,8]=>[7,2,6,5,4,3,1,8]=>[2,5,4,6,3,7,1,8]=>[7,2,6,5,4,3,1,8] [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,7,6,5,4,8,1]=>[8,2,6,5,4,3,7,1]=>[2,5,4,6,3,7,8,1]=>[8,2,6,5,4,3,7,1] [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,7,6,5,8,4,1]=>[8,2,7,5,4,6,3,1]=>[2,5,4,6,7,3,8,1]=>[8,2,7,5,4,6,3,1] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>[4,3,2,1,5,6,7,8] [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[2,4,3,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[3,2,4,1,5,7,8,6]=>[4,3,2,1,5,8,7,6] [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[2,4,3,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[3,2,4,1,6,5,7,8]=>[4,3,2,1,6,5,7,8] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[3,2,4,1,6,5,8,7]=>[4,3,2,1,6,5,8,7] [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,4,3,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[3,2,4,1,6,7,8,5]=>[4,3,2,1,8,6,7,5] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[3,2,4,1,7,6,8,5]=>[4,3,2,1,8,7,6,5] [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,3,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[3,2,4,1,6,7,8,5]=>[4,3,2,1,8,6,7,5] [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,4,3,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[3,2,4,1,7,6,8,5]=>[4,3,2,1,8,7,6,5] [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[3,2,4,1,7,6,8,5]=>[4,3,2,1,8,7,6,5] [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,4,3,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[3,2,4,5,1,6,7,8]=>[5,3,2,4,1,6,7,8] [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,7,1,8]=>[7,3,2,4,5,6,1,8]=>[3,2,4,5,6,7,1,8]=>[7,3,2,4,5,6,1,8] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[3,2,4,5,6,7,8,1]=>[8,3,2,4,5,6,7,1] [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,4,3,5,6,8,7,1]=>[8,3,2,4,5,7,6,1]=>[3,2,4,5,7,6,8,1]=>[8,3,2,4,5,7,6,1] [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[3,2,5,4,6,1,8,7]=>[6,3,2,5,4,1,8,7] [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,6,5,7,8,1]=>[8,3,2,5,4,6,7,1]=>[3,2,5,4,6,7,8,1]=>[8,3,2,5,4,6,7,1] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>[3,2,5,4,7,6,8,1]=>[8,3,2,5,4,7,6,1] [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,4,3,6,7,5,8,1]=>[8,3,2,6,5,4,7,1]=>[3,2,5,6,4,7,8,1]=>[8,3,2,6,5,4,7,1] [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,4,3,6,7,8,5,1]=>[8,3,2,7,5,6,4,1]=>[3,2,5,6,7,4,8,1]=>[8,3,2,7,5,6,4,1] [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,4,3,6,8,7,5,1]=>[8,3,2,7,6,5,4,1]=>[3,2,6,5,7,4,8,1]=>[8,3,2,7,6,5,4,1] [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,4,3,7,6,5,8,1]=>[8,3,2,6,5,4,7,1]=>[3,2,5,6,4,7,8,1]=>[8,3,2,6,5,4,7,1] [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,4,3,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[3,2,6,5,7,4,8,1]=>[8,3,2,7,6,5,4,1] [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,4,5,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[3,4,2,5,1,6,7,8]=>[5,4,3,2,1,6,7,8] [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[2,4,5,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[3,4,2,5,1,7,6,8]=>[5,4,3,2,1,7,6,8] [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,4,5,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[3,4,2,5,1,7,8,6]=>[5,4,3,2,1,8,7,6] [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[2,4,5,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[3,4,2,5,1,7,8,6]=>[5,4,3,2,1,8,7,6] [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[2,4,5,3,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[3,4,2,5,6,1,8,7]=>[6,4,3,2,5,1,8,7] [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[2,4,5,3,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[3,4,2,5,6,7,1,8]=>[7,4,3,2,5,6,1,8] [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,4,5,3,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[3,4,2,5,6,7,8,1]=>[8,4,3,2,5,6,7,1] [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[2,4,5,3,6,8,7,1]=>[8,4,3,2,5,7,6,1]=>[3,4,2,5,7,6,8,1]=>[8,4,3,2,5,7,6,1] [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[2,4,5,3,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[3,4,2,6,7,5,8,1]=>[8,4,3,2,7,6,5,1] [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,4,5,3,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[3,4,2,6,7,5,8,1]=>[8,4,3,2,7,6,5,1] [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,4,5,6,3,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,5,2,6,1,7,8]=>[6,5,3,4,2,1,7,8] [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,6,3,7,8,1]=>[8,5,3,4,2,6,7,1]=>[3,4,5,2,6,7,8,1]=>[8,5,3,4,2,6,7,1] [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,4,5,6,3,8,7,1]=>[8,5,3,4,2,7,6,1]=>[3,4,5,2,7,6,8,1]=>[8,5,3,4,2,7,6,1] [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,4,5,6,7,3,1,8]=>[7,6,3,4,5,2,1,8]=>[3,4,5,6,2,7,1,8]=>[7,6,3,4,5,2,1,8] [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,7,3,8,1]=>[8,6,3,4,5,2,7,1]=>[3,4,5,6,2,7,8,1]=>[8,6,3,4,5,2,7,1] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,8,3,1]=>[8,7,3,4,5,6,2,1]=>[3,4,5,6,7,2,8,1]=>[8,7,3,4,5,6,2,1] [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,4,5,6,8,7,3,1]=>[8,7,3,4,6,5,2,1]=>[3,4,6,5,7,2,8,1]=>[8,7,3,4,6,5,2,1] [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[2,4,5,7,8,6,3,1]=>[8,7,3,6,5,4,2,1]=>[3,5,6,4,7,2,8,1]=>[8,7,3,6,5,4,2,1] [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[2,4,6,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[4,3,5,2,6,1,7,8]=>[6,5,4,3,2,1,7,8] [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,4,6,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[4,3,5,2,6,1,8,7]=>[6,5,4,3,2,1,8,7] [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,4,6,5,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[4,3,5,2,6,7,8,1]=>[8,5,4,3,2,6,7,1] [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,4,6,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[4,3,5,2,7,6,8,1]=>[8,5,4,3,2,7,6,1] [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,4,6,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[4,3,5,6,2,7,8,1]=>[8,6,4,3,5,2,7,1] [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,4,6,5,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[4,3,6,5,7,2,8,1]=>[8,7,4,3,6,5,2,1] [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[2,4,6,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,4,6,7,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,4,6,7,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,4,6,8,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,4,7,6,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,4,7,8,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,4,8,7,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,5,4,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[3,4,2,5,1,6,7,8]=>[5,4,3,2,1,6,7,8] [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,5,4,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[3,4,2,5,1,7,6,8]=>[5,4,3,2,1,7,6,8] [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,5,4,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[3,4,2,5,1,7,8,6]=>[5,4,3,2,1,8,7,6] [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,5,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[3,4,2,5,1,7,8,6]=>[5,4,3,2,1,8,7,6] [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,5,4,3,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[3,4,2,5,6,1,8,7]=>[6,4,3,2,5,1,8,7] [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,5,4,3,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[3,4,2,5,6,7,1,8]=>[7,4,3,2,5,6,1,8] [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,5,4,3,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[3,4,2,5,6,7,8,1]=>[8,4,3,2,5,6,7,1] [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,5,4,3,6,8,7,1]=>[8,4,3,2,5,7,6,1]=>[3,4,2,5,7,6,8,1]=>[8,4,3,2,5,7,6,1] [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,5,4,3,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[3,4,2,6,5,7,8,1]=>[8,4,3,2,6,5,7,1] [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,5,4,3,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[3,4,2,6,7,5,8,1]=>[8,4,3,2,7,6,5,1] [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,5,4,3,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[3,4,2,6,7,5,8,1]=>[8,4,3,2,7,6,5,1] [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,5,4,6,3,7,8,1]=>[8,5,3,4,2,6,7,1]=>[3,4,5,2,6,7,8,1]=>[8,5,3,4,2,6,7,1] [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,5,4,6,7,3,1,8]=>[7,6,3,4,5,2,1,8]=>[3,4,5,6,2,7,1,8]=>[7,6,3,4,5,2,1,8] [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,5,4,6,7,3,8,1]=>[8,6,3,4,5,2,7,1]=>[3,4,5,6,2,7,8,1]=>[8,6,3,4,5,2,7,1] [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,5,4,6,7,8,3,1]=>[8,7,3,4,5,6,2,1]=>[3,4,5,6,7,2,8,1]=>[8,7,3,4,5,6,2,1] [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,5,4,7,6,3,1,8]=>[7,6,3,5,4,2,1,8]=>[3,5,4,6,2,7,1,8]=>[7,6,3,5,4,2,1,8] [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,5,4,7,6,3,8,1]=>[8,6,3,5,4,2,7,1]=>[3,5,4,6,2,7,8,1]=>[8,6,3,5,4,2,7,1] [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,5,4,7,6,8,3,1]=>[8,7,3,5,4,6,2,1]=>[3,5,4,6,7,2,8,1]=>[8,7,3,5,4,6,2,1] [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,5,4,7,8,6,3,1]=>[8,7,3,6,5,4,2,1]=>[3,5,6,4,7,2,8,1]=>[8,7,3,6,5,4,2,1] [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,5,4,8,7,6,3,1]=>[8,7,3,6,5,4,2,1]=>[3,5,6,4,7,2,8,1]=>[8,7,3,6,5,4,2,1] [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[2,5,6,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[4,3,5,2,6,1,8,7]=>[6,5,4,3,2,1,8,7] [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,5,6,4,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[4,3,5,2,6,7,8,1]=>[8,5,4,3,2,6,7,1] [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,5,6,4,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[4,3,6,5,7,2,8,1]=>[8,7,4,3,6,5,2,1] [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[2,5,6,7,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,5,6,7,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,5,7,6,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,5,8,7,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,6,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[4,3,5,2,6,1,8,7]=>[6,5,4,3,2,1,8,7] [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,6,5,4,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[4,3,5,2,6,7,8,1]=>[8,5,4,3,2,6,7,1] [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,6,5,4,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[4,3,5,2,7,6,8,1]=>[8,5,4,3,2,7,6,1] [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,6,5,4,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[4,3,6,5,7,2,8,1]=>[8,7,4,3,6,5,2,1] [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,6,5,7,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,6,7,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,6,7,5,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,6,7,5,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,6,7,8,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,6,8,7,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,7,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,7,6,5,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,7,6,8,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,7,8,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,8,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8] [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]=>[2,3,1,4,5,6,8,7]=>[3,2,1,4,5,6,8,7] [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,5,7,6,8]=>[3,2,1,4,5,7,6,8]=>[2,3,1,4,5,7,6,8]=>[3,2,1,4,5,7,6,8] [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,5,7,8,6]=>[3,2,1,4,5,8,7,6]=>[2,3,1,4,5,7,8,6]=>[3,2,1,4,5,8,7,6] [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>[2,3,1,4,5,7,8,6]=>[3,2,1,4,5,8,7,6] [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,2,1,4,6,7,8,5]=>[3,2,1,4,8,6,7,5]=>[2,3,1,4,6,7,8,5]=>[3,2,1,4,8,6,7,5] [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,2,1,4,6,8,7,5]=>[3,2,1,4,8,7,6,5]=>[2,3,1,4,7,6,8,5]=>[3,2,1,4,8,7,6,5] [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,2,1,4,7,6,5,8]=>[3,2,1,4,7,6,5,8]=>[2,3,1,4,6,7,5,8]=>[3,2,1,4,7,6,5,8] [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,2,1,4,7,6,8,5]=>[3,2,1,4,8,6,7,5]=>[2,3,1,4,6,7,8,5]=>[3,2,1,4,8,6,7,5] [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,2,1,4,7,8,6,5]=>[3,2,1,4,8,7,6,5]=>[2,3,1,4,7,6,8,5]=>[3,2,1,4,8,7,6,5] [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,2,1,4,8,7,6,5]=>[3,2,1,4,8,7,6,5]=>[2,3,1,4,7,6,8,5]=>[3,2,1,4,8,7,6,5] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,2,1,5,4,6,7,8]=>[3,2,1,5,4,6,7,8]=>[2,3,1,5,4,6,7,8]=>[3,2,1,5,4,6,7,8] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[2,3,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8] [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,2,1,5,6,4,7,8]=>[3,2,1,6,5,4,7,8]=>[2,3,1,5,6,4,7,8]=>[3,2,1,6,5,4,7,8] [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,2,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>[2,3,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8] [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[2,3,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4] [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,2,1,5,6,8,7,4]=>[3,2,1,8,5,7,6,4]=>[2,3,1,5,7,6,8,4]=>[3,2,1,8,5,7,6,4] [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,2,1,5,7,6,4,8]=>[3,2,1,7,6,5,4,8]=>[2,3,1,6,5,7,4,8]=>[3,2,1,7,6,5,4,8] [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,2,1,5,7,8,6,4]=>[3,2,1,8,7,6,5,4]=>[2,3,1,6,7,5,8,4]=>[3,2,1,8,7,6,5,4] [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,1,5,8,7,6,4]=>[3,2,1,8,7,6,5,4]=>[2,3,1,6,7,5,8,4]=>[3,2,1,8,7,6,5,4] [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,2,1,6,5,4,7,8]=>[3,2,1,6,5,4,7,8]=>[2,3,1,5,6,4,7,8]=>[3,2,1,6,5,4,7,8] [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,2,1,6,5,7,4,8]=>[3,2,1,7,5,6,4,8]=>[2,3,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8] [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,2,1,6,5,7,8,4]=>[3,2,1,8,5,6,7,4]=>[2,3,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4] [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,2,1,6,5,8,7,4]=>[3,2,1,8,5,7,6,4]=>[2,3,1,5,7,6,8,4]=>[3,2,1,8,5,7,6,4] [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,2,1,6,7,5,4,8]=>[3,2,1,7,6,5,4,8]=>[2,3,1,6,5,7,4,8]=>[3,2,1,7,6,5,4,8] [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,2,1,6,7,8,5,4]=>[3,2,1,8,7,6,5,4]=>[2,3,1,6,7,5,8,4]=>[3,2,1,8,7,6,5,4] [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,2,1,6,8,7,5,4]=>[3,2,1,8,7,6,5,4]=>[2,3,1,6,7,5,8,4]=>[3,2,1,8,7,6,5,4] [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,2,1,7,6,5,4,8]=>[3,2,1,7,6,5,4,8]=>[2,3,1,6,5,7,4,8]=>[3,2,1,7,6,5,4,8] [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,2,1,7,6,8,5,4]=>[3,2,1,8,7,6,5,4]=>[2,3,1,6,7,5,8,4]=>[3,2,1,8,7,6,5,4] [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,1,7,8,6,5,4]=>[3,2,1,8,7,6,5,4]=>[2,3,1,6,7,5,8,4]=>[3,2,1,8,7,6,5,4] [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[2,3,1,6,7,5,8,4]=>[3,2,1,8,7,6,5,4] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8] [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,2,4,1,5,6,8,7]=>[4,2,3,1,5,6,8,7]=>[2,3,4,1,5,6,8,7]=>[4,2,3,1,5,6,8,7] [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,2,4,1,5,7,6,8]=>[4,2,3,1,5,7,6,8]=>[2,3,4,1,5,7,6,8]=>[4,2,3,1,5,7,6,8] [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,2,4,1,5,7,8,6]=>[4,2,3,1,5,8,7,6]=>[2,3,4,1,5,7,8,6]=>[4,2,3,1,5,8,7,6] [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,2,4,1,5,8,7,6]=>[4,2,3,1,5,8,7,6]=>[2,3,4,1,5,7,8,6]=>[4,2,3,1,5,8,7,6] [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,2,4,1,6,5,7,8]=>[4,2,3,1,6,5,7,8]=>[2,3,4,1,6,5,7,8]=>[4,2,3,1,6,5,7,8] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[2,3,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7] [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,2,4,1,6,7,5,8]=>[4,2,3,1,7,6,5,8]=>[2,3,4,1,6,7,5,8]=>[4,2,3,1,7,6,5,8] [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,2,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5] [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,2,4,1,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[2,3,4,1,7,6,8,5]=>[4,2,3,1,8,7,6,5] [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,2,4,1,7,6,5,8]=>[4,2,3,1,7,6,5,8]=>[2,3,4,1,6,7,5,8]=>[4,2,3,1,7,6,5,8] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5] [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,2,4,1,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[2,3,4,1,7,6,8,5]=>[4,2,3,1,8,7,6,5] [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,2,4,1,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[2,3,4,1,7,6,8,5]=>[4,2,3,1,8,7,6,5] [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8] [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,5,1,8,7,6]=>[5,2,3,4,1,8,7,6]=>[2,3,4,5,1,7,8,6]=>[5,2,3,4,1,8,7,6] [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]=>[2,3,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8] [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]=>[2,3,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]=>[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1] [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,6,8,7,1]=>[8,2,3,4,5,7,6,1]=>[2,3,4,5,7,6,8,1]=>[8,2,3,4,5,7,6,1] [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,5,7,6,8,1]=>[8,2,3,4,6,5,7,1]=>[2,3,4,6,5,7,8,1]=>[8,2,3,4,6,5,7,1] [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,5,7,8,6,1]=>[8,2,3,4,7,6,5,1]=>[2,3,4,6,7,5,8,1]=>[8,2,3,4,7,6,5,1] [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,2,4,6,5,8,7,1]=>[8,2,3,5,4,7,6,1]=>[2,3,5,4,7,6,8,1]=>[8,2,3,5,4,7,6,1] [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,2,4,6,7,5,1,8]=>[7,2,3,6,5,4,1,8]=>[2,3,5,6,4,7,1,8]=>[7,2,3,6,5,4,1,8] [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,2,4,7,6,5,8,1]=>[8,2,3,6,5,4,7,1]=>[2,3,5,6,4,7,8,1]=>[8,2,3,6,5,4,7,1] [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,5,4,1,6,7,8]=>[5,2,4,3,1,6,7,8]=>[2,4,3,5,1,6,7,8]=>[5,2,4,3,1,6,7,8] [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,5,4,1,6,8,7]=>[5,2,4,3,1,6,8,7]=>[2,4,3,5,1,6,8,7]=>[5,2,4,3,1,6,8,7] [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,5,4,1,7,6,8]=>[5,2,4,3,1,7,6,8]=>[2,4,3,5,1,7,6,8]=>[5,2,4,3,1,7,6,8] [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,5,4,1,7,8,6]=>[5,2,4,3,1,8,7,6]=>[2,4,3,5,1,7,8,6]=>[5,2,4,3,1,8,7,6] [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,5,4,1,8,7,6]=>[5,2,4,3,1,8,7,6]=>[2,4,3,5,1,7,8,6]=>[5,2,4,3,1,8,7,6] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,8,7]=>[6,2,4,3,5,1,8,7]=>[2,4,3,5,6,1,8,7]=>[6,2,4,3,5,1,8,7] [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,5,4,6,7,8,1]=>[8,2,4,3,5,6,7,1]=>[2,4,3,5,6,7,8,1]=>[8,2,4,3,5,6,7,1] [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,5,4,6,8,7,1]=>[8,2,4,3,5,7,6,1]=>[2,4,3,5,7,6,8,1]=>[8,2,4,3,5,7,6,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,7,6,1,8]=>[7,2,4,3,6,5,1,8]=>[2,4,3,6,5,7,1,8]=>[7,2,4,3,6,5,1,8] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,8,1]=>[8,2,4,3,6,5,7,1]=>[2,4,3,6,5,7,8,1]=>[8,2,4,3,6,5,7,1] [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,5,4,7,8,6,1]=>[8,2,4,3,7,6,5,1]=>[2,4,3,6,7,5,8,1]=>[8,2,4,3,7,6,5,1] [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,2,5,6,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[2,4,5,3,6,1,8,7]=>[6,2,5,4,3,1,8,7] [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[3,2,5,6,4,7,8,1]=>[8,2,5,4,3,6,7,1]=>[2,4,5,3,6,7,8,1]=>[8,2,5,4,3,6,7,1] [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,2,5,6,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[2,4,5,6,3,7,1,8]=>[7,2,6,4,5,3,1,8] [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[3,2,5,6,7,4,8,1]=>[8,2,6,4,5,3,7,1]=>[2,4,5,6,3,7,8,1]=>[8,2,6,4,5,3,7,1] [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,5,6,7,8,4,1]=>[8,2,7,4,5,6,3,1]=>[2,4,5,6,7,3,8,1]=>[8,2,7,4,5,6,3,1] [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,5,7,6,4,1,8]=>[7,2,6,5,4,3,1,8]=>[2,5,4,6,3,7,1,8]=>[7,2,6,5,4,3,1,8] [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,5,7,6,4,8,1]=>[8,2,6,5,4,3,7,1]=>[2,5,4,6,3,7,8,1]=>[8,2,6,5,4,3,7,1] [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,5,7,6,8,4,1]=>[8,2,7,5,4,6,3,1]=>[2,5,4,6,7,3,8,1]=>[8,2,7,5,4,6,3,1] [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,2,6,5,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[2,4,5,3,6,1,8,7]=>[6,2,5,4,3,1,8,7] [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,2,6,5,4,7,1,8]=>[7,2,5,4,3,6,1,8]=>[2,4,5,3,6,7,1,8]=>[7,2,5,4,3,6,1,8] [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,2,6,5,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[2,4,5,6,3,7,1,8]=>[7,2,6,4,5,3,1,8] [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,6,5,7,4,8,1]=>[8,2,6,4,5,3,7,1]=>[2,4,5,6,3,7,8,1]=>[8,2,6,4,5,3,7,1] [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,2,6,5,8,7,4,1]=>[8,2,7,4,6,5,3,1]=>[2,4,6,5,7,3,8,1]=>[8,2,7,4,6,5,3,1] [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,2,6,7,5,4,1,8]=>[7,2,6,5,4,3,1,8]=>[2,5,4,6,3,7,1,8]=>[7,2,6,5,4,3,1,8] [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,2,6,7,5,4,8,1]=>[8,2,6,5,4,3,7,1]=>[2,5,4,6,3,7,8,1]=>[8,2,6,5,4,3,7,1] [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,2,6,7,5,8,4,1]=>[8,2,7,5,4,6,3,1]=>[2,5,4,6,7,3,8,1]=>[8,2,7,5,4,6,3,1] [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,2,7,6,5,4,1,8]=>[7,2,6,5,4,3,1,8]=>[2,5,4,6,3,7,1,8]=>[7,2,6,5,4,3,1,8] [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,2,7,6,5,4,8,1]=>[8,2,6,5,4,3,7,1]=>[2,5,4,6,3,7,8,1]=>[8,2,6,5,4,3,7,1] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,4,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>[4,3,2,1,5,6,7,8] [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,4,2,1,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[3,2,4,1,5,6,8,7]=>[4,3,2,1,5,6,8,7] [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,4,2,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[3,2,4,1,5,7,8,6]=>[4,3,2,1,5,8,7,6] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,4,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[3,2,4,1,6,5,8,7]=>[4,3,2,1,6,5,8,7] [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,4,2,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[3,2,4,1,6,7,8,5]=>[4,3,2,1,8,6,7,5] [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,4,2,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[3,2,4,1,7,6,8,5]=>[4,3,2,1,8,7,6,5] [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,4,2,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[3,2,4,1,6,7,8,5]=>[4,3,2,1,8,6,7,5] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,4,2,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[3,2,4,1,7,6,8,5]=>[4,3,2,1,8,7,6,5] [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[3,2,4,1,7,6,8,5]=>[4,3,2,1,8,7,6,5] [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,4,2,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[3,2,4,5,1,6,7,8]=>[5,3,2,4,1,6,7,8] [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,4,2,5,6,1,7,8]=>[6,3,2,4,5,1,7,8]=>[3,2,4,5,6,1,7,8]=>[6,3,2,4,5,1,7,8] [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,4,2,5,6,7,1,8]=>[7,3,2,4,5,6,1,8]=>[3,2,4,5,6,7,1,8]=>[7,3,2,4,5,6,1,8] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,4,2,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[3,2,4,5,6,7,8,1]=>[8,3,2,4,5,6,7,1] [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,4,2,5,6,8,7,1]=>[8,3,2,4,5,7,6,1]=>[3,2,4,5,7,6,8,1]=>[8,3,2,4,5,7,6,1] [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,4,2,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[3,2,5,4,6,1,8,7]=>[6,3,2,5,4,1,8,7] [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,4,2,6,5,7,8,1]=>[8,3,2,5,4,6,7,1]=>[3,2,5,4,6,7,8,1]=>[8,3,2,5,4,6,7,1] [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,4,2,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>[3,2,5,4,7,6,8,1]=>[8,3,2,5,4,7,6,1] [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,4,2,6,7,5,8,1]=>[8,3,2,6,5,4,7,1]=>[3,2,5,6,4,7,8,1]=>[8,3,2,6,5,4,7,1] [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,4,2,7,6,5,8,1]=>[8,3,2,6,5,4,7,1]=>[3,2,5,6,4,7,8,1]=>[8,3,2,6,5,4,7,1] [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,4,2,7,8,6,5,1]=>[8,3,2,7,6,5,4,1]=>[3,2,6,5,7,4,8,1]=>[8,3,2,7,6,5,4,1] [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4,2,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[3,2,6,5,7,4,8,1]=>[8,3,2,7,6,5,4,1] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,5,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[3,4,2,5,1,6,7,8]=>[5,4,3,2,1,6,7,8] [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,4,5,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[3,4,2,5,1,7,6,8]=>[5,4,3,2,1,7,6,8] [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,5,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[3,4,2,5,1,7,8,6]=>[5,4,3,2,1,8,7,6] [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,5,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[3,4,2,5,1,7,8,6]=>[5,4,3,2,1,8,7,6] [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,5,2,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[3,4,2,5,6,1,8,7]=>[6,4,3,2,5,1,8,7] [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,5,2,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[3,4,2,5,6,7,1,8]=>[7,4,3,2,5,6,1,8] [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,5,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[3,4,2,5,6,7,8,1]=>[8,4,3,2,5,6,7,1] [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,4,5,2,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[3,4,2,6,5,7,1,8]=>[7,4,3,2,6,5,1,8] [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,5,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[3,4,2,6,5,7,8,1]=>[8,4,3,2,6,5,7,1] [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,4,5,2,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[3,4,2,6,7,5,8,1]=>[8,4,3,2,7,6,5,1] [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,6,2,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,5,2,6,1,7,8]=>[6,5,3,4,2,1,7,8] [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,5,2,6,1,8,7]=>[6,5,3,4,2,1,8,7] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,6,2,7,8,1]=>[8,5,3,4,2,6,7,1]=>[3,4,5,2,6,7,8,1]=>[8,5,3,4,2,6,7,1] [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,4,5,6,2,8,7,1]=>[8,5,3,4,2,7,6,1]=>[3,4,5,2,7,6,8,1]=>[8,5,3,4,2,7,6,1] [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,7,2,1,8]=>[7,6,3,4,5,2,1,8]=>[3,4,5,6,2,7,1,8]=>[7,6,3,4,5,2,1,8] [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[3,4,5,6,2,7,8,1]=>[8,6,3,4,5,2,7,1] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,2,1]=>[8,7,3,4,5,6,2,1]=>[3,4,5,6,7,2,8,1]=>[8,7,3,4,5,6,2,1] [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,6,8,7,2,1]=>[8,7,3,4,6,5,2,1]=>[3,4,6,5,7,2,8,1]=>[8,7,3,4,6,5,2,1] [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,4,5,7,6,2,8,1]=>[8,6,3,5,4,2,7,1]=>[3,5,4,6,2,7,8,1]=>[8,6,3,5,4,2,7,1] [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,4,5,7,6,8,2,1]=>[8,7,3,5,4,6,2,1]=>[3,5,4,6,7,2,8,1]=>[8,7,3,5,4,6,2,1] [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,4,5,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[3,5,6,4,7,2,8,1]=>[8,7,3,6,5,4,2,1] [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,8,7,6,2,1]=>[8,7,3,6,5,4,2,1]=>[3,5,6,4,7,2,8,1]=>[8,7,3,6,5,4,2,1] [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,4,6,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[4,3,5,2,6,1,8,7]=>[6,5,4,3,2,1,8,7] [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,4,6,5,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[4,3,5,2,6,7,8,1]=>[8,5,4,3,2,6,7,1] [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,4,6,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[4,3,5,6,2,7,8,1]=>[8,6,4,3,5,2,7,1] [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,4,6,7,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,4,6,7,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,4,7,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,4,7,6,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,8,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[3,5,4,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[3,4,2,5,1,6,7,8]=>[5,4,3,2,1,6,7,8] [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,5,4,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[3,4,2,5,1,7,6,8]=>[5,4,3,2,1,7,6,8] [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[3,5,4,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[3,4,2,5,1,7,8,6]=>[5,4,3,2,1,8,7,6] [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,5,4,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[3,4,2,5,1,7,8,6]=>[5,4,3,2,1,8,7,6] [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[3,5,4,2,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[3,4,2,5,6,1,8,7]=>[6,4,3,2,5,1,8,7] [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[3,5,4,2,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[3,4,2,5,6,7,1,8]=>[7,4,3,2,5,6,1,8] [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,5,4,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[3,4,2,5,6,7,8,1]=>[8,4,3,2,5,6,7,1] [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,5,4,2,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[3,4,2,6,5,7,1,8]=>[7,4,3,2,6,5,1,8] [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[3,5,4,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[3,4,2,6,5,7,8,1]=>[8,4,3,2,6,5,7,1] [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[3,5,4,2,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[3,4,2,6,7,5,8,1]=>[8,4,3,2,7,6,5,1] [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[3,5,4,6,2,7,8,1]=>[8,5,3,4,2,6,7,1]=>[3,4,5,2,6,7,8,1]=>[8,5,3,4,2,6,7,1] [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[3,5,4,6,2,8,7,1]=>[8,5,3,4,2,7,6,1]=>[3,4,5,2,7,6,8,1]=>[8,5,3,4,2,7,6,1] [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[3,5,4,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[3,4,5,6,2,7,8,1]=>[8,6,3,4,5,2,7,1] [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[3,5,4,6,7,8,2,1]=>[8,7,3,4,5,6,2,1]=>[3,4,5,6,7,2,8,1]=>[8,7,3,4,5,6,2,1] [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,5,4,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[3,5,4,6,2,7,1,8]=>[7,6,3,5,4,2,1,8] [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,5,4,7,6,2,8,1]=>[8,6,3,5,4,2,7,1]=>[3,5,4,6,2,7,8,1]=>[8,6,3,5,4,2,7,1] [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,5,4,7,6,8,2,1]=>[8,7,3,5,4,6,2,1]=>[3,5,4,6,7,2,8,1]=>[8,7,3,5,4,6,2,1] [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,5,4,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[3,5,6,4,7,2,8,1]=>[8,7,3,6,5,4,2,1] [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,5,6,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[4,3,5,2,6,1,8,7]=>[6,5,4,3,2,1,8,7] [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[3,5,6,4,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[4,3,5,2,6,7,8,1]=>[8,5,4,3,2,6,7,1] [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,5,6,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[4,3,5,2,7,6,8,1]=>[8,5,4,3,2,7,6,1] [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[3,5,6,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[4,3,5,6,2,7,8,1]=>[8,6,4,3,5,2,7,1] [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[3,5,6,7,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[3,5,6,7,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,5,6,8,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,5,7,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,5,7,6,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,5,7,6,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,5,7,8,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,5,8,7,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,6,5,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[4,3,5,2,6,1,7,8]=>[6,5,4,3,2,1,7,8] [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,6,5,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[4,3,5,2,6,1,8,7]=>[6,5,4,3,2,1,8,7] [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,6,5,4,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[4,3,5,2,6,7,8,1]=>[8,5,4,3,2,6,7,1] [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,6,5,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[4,3,5,2,7,6,8,1]=>[8,5,4,3,2,7,6,1] [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,6,5,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[4,3,5,6,2,7,8,1]=>[8,6,4,3,5,2,7,1] [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,6,5,4,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[4,3,6,5,7,2,8,1]=>[8,7,4,3,6,5,2,1] [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,6,7,5,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,6,8,7,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,7,6,5,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,7,6,5,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,7,6,8,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,7,8,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,8,7,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>[4,3,2,1,5,6,7,8] [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,3,2,1,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[3,2,4,1,5,6,8,7]=>[4,3,2,1,5,6,8,7] [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,3,2,1,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[3,2,4,1,5,7,6,8]=>[4,3,2,1,5,7,6,8] [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,3,2,1,5,7,8,6]=>[4,3,2,1,5,8,7,6]=>[3,2,4,1,5,7,8,6]=>[4,3,2,1,5,8,7,6] [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,3,2,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[3,2,4,1,5,7,8,6]=>[4,3,2,1,5,8,7,6] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,3,2,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[3,2,4,1,6,5,7,8]=>[4,3,2,1,6,5,7,8] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[3,2,4,1,6,5,8,7]=>[4,3,2,1,6,5,8,7] [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,3,2,1,6,7,5,8]=>[4,3,2,1,7,6,5,8]=>[3,2,4,1,6,7,5,8]=>[4,3,2,1,7,6,5,8] [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,3,2,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[3,2,4,1,6,7,8,5]=>[4,3,2,1,8,6,7,5] [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,3,2,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[3,2,4,1,7,6,8,5]=>[4,3,2,1,8,7,6,5] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,2,1,7,6,5,8]=>[4,3,2,1,7,6,5,8]=>[3,2,4,1,6,7,5,8]=>[4,3,2,1,7,6,5,8] [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,2,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[3,2,4,1,6,7,8,5]=>[4,3,2,1,8,6,7,5] [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,2,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[3,2,4,1,7,6,8,5]=>[4,3,2,1,8,7,6,5] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[3,2,4,1,7,6,8,5]=>[4,3,2,1,8,7,6,5] [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,3,2,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[3,2,4,5,1,6,7,8]=>[5,3,2,4,1,6,7,8] [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[4,3,2,5,6,1,7,8]=>[6,3,2,4,5,1,7,8]=>[3,2,4,5,6,1,7,8]=>[6,3,2,4,5,1,7,8] [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,7,1,8]=>[7,3,2,4,5,6,1,8]=>[3,2,4,5,6,7,1,8]=>[7,3,2,4,5,6,1,8] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[3,2,4,5,6,7,8,1]=>[8,3,2,4,5,6,7,1] [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,3,2,5,6,8,7,1]=>[8,3,2,4,5,7,6,1]=>[3,2,4,5,7,6,8,1]=>[8,3,2,4,5,7,6,1] [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[4,3,2,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[3,2,5,4,6,1,8,7]=>[6,3,2,5,4,1,8,7] [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[4,3,2,6,5,7,8,1]=>[8,3,2,5,4,6,7,1]=>[3,2,5,4,6,7,8,1]=>[8,3,2,5,4,6,7,1] [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,3,2,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>[3,2,5,4,7,6,8,1]=>[8,3,2,5,4,7,6,1] [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,3,2,6,7,5,8,1]=>[8,3,2,6,5,4,7,1]=>[3,2,5,6,4,7,8,1]=>[8,3,2,6,5,4,7,1] [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,3,2,6,8,7,5,1]=>[8,3,2,7,6,5,4,1]=>[3,2,6,5,7,4,8,1]=>[8,3,2,7,6,5,4,1] [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,2,7,6,5,8,1]=>[8,3,2,6,5,4,7,1]=>[3,2,5,6,4,7,8,1]=>[8,3,2,6,5,4,7,1] [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,2,7,8,6,5,1]=>[8,3,2,7,6,5,4,1]=>[3,2,6,5,7,4,8,1]=>[8,3,2,7,6,5,4,1] [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,3,2,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[3,2,6,5,7,4,8,1]=>[8,3,2,7,6,5,4,1] [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[4,3,5,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[3,4,2,5,1,6,7,8]=>[5,4,3,2,1,6,7,8] [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[4,3,5,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[3,4,2,5,1,7,8,6]=>[5,4,3,2,1,8,7,6] [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,3,5,2,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[3,4,2,5,6,1,8,7]=>[6,4,3,2,5,1,8,7] [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[4,3,5,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[3,4,2,5,6,7,8,1]=>[8,4,3,2,5,6,7,1] [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[4,3,5,2,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[3,4,2,6,5,7,1,8]=>[7,4,3,2,6,5,1,8] [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,3,5,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[3,4,2,6,5,7,8,1]=>[8,4,3,2,6,5,7,1] [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,3,5,2,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[3,4,2,6,7,5,8,1]=>[8,4,3,2,7,6,5,1] [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[4,3,5,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,5,2,6,1,8,7]=>[6,5,3,4,2,1,8,7] [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[4,3,5,6,2,7,8,1]=>[8,5,3,4,2,6,7,1]=>[3,4,5,2,6,7,8,1]=>[8,5,3,4,2,6,7,1] [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[4,3,5,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[3,4,5,6,2,7,8,1]=>[8,6,3,4,5,2,7,1] [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[4,3,5,6,7,8,2,1]=>[8,7,3,4,5,6,2,1]=>[3,4,5,6,7,2,8,1]=>[8,7,3,4,5,6,2,1] [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,3,5,6,8,7,2,1]=>[8,7,3,4,6,5,2,1]=>[3,4,6,5,7,2,8,1]=>[8,7,3,4,6,5,2,1] [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,3,5,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[3,5,4,6,2,7,1,8]=>[7,6,3,5,4,2,1,8] [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,3,5,7,6,8,2,1]=>[8,7,3,5,4,6,2,1]=>[3,5,4,6,7,2,8,1]=>[8,7,3,5,4,6,2,1] [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[3,5,6,4,7,2,8,1]=>[8,7,3,6,5,4,2,1] [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,3,6,5,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[4,3,5,2,6,1,7,8]=>[6,5,4,3,2,1,7,8] [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,3,6,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[4,3,5,2,6,1,8,7]=>[6,5,4,3,2,1,8,7] [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,3,6,5,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[4,3,5,2,7,6,8,1]=>[8,5,4,3,2,7,6,1] [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,3,6,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[4,3,5,6,2,7,8,1]=>[8,6,4,3,5,2,7,1] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,3,6,5,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[4,3,6,5,7,2,8,1]=>[8,7,4,3,6,5,2,1] [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,3,6,7,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,7,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,7,6,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,7,8,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,3,8,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[4,5,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[3,4,2,5,1,6,7,8]=>[5,4,3,2,1,6,7,8] [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[4,5,3,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[3,4,2,5,1,7,6,8]=>[5,4,3,2,1,7,6,8] [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,5,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[3,4,2,5,1,7,8,6]=>[5,4,3,2,1,8,7,6] [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[4,5,3,2,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[3,4,2,5,6,1,8,7]=>[6,4,3,2,5,1,8,7] [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[4,5,3,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[3,4,2,5,6,7,8,1]=>[8,4,3,2,5,6,7,1] [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[4,5,3,2,6,8,7,1]=>[8,4,3,2,5,7,6,1]=>[3,4,2,5,7,6,8,1]=>[8,4,3,2,5,7,6,1] [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[4,5,3,2,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[3,4,2,6,5,7,1,8]=>[7,4,3,2,6,5,1,8] [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,5,3,2,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[3,4,2,6,7,5,8,1]=>[8,4,3,2,7,6,5,1] [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[4,5,3,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,5,2,6,1,8,7]=>[6,5,3,4,2,1,8,7] [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[4,5,3,6,2,8,7,1]=>[8,5,3,4,2,7,6,1]=>[3,4,5,2,7,6,8,1]=>[8,5,3,4,2,7,6,1] [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[4,5,3,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[3,4,5,6,2,7,8,1]=>[8,6,3,4,5,2,7,1] [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,5,3,6,8,7,2,1]=>[8,7,3,4,6,5,2,1]=>[3,4,6,5,7,2,8,1]=>[8,7,3,4,6,5,2,1] [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,5,3,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[3,5,4,6,2,7,1,8]=>[7,6,3,5,4,2,1,8] [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,5,3,7,6,2,8,1]=>[8,6,3,5,4,2,7,1]=>[3,5,4,6,2,7,8,1]=>[8,6,3,5,4,2,7,1] [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,5,3,7,6,8,2,1]=>[8,7,3,5,4,6,2,1]=>[3,5,4,6,7,2,8,1]=>[8,7,3,5,4,6,2,1] [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,5,3,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[3,5,6,4,7,2,8,1]=>[8,7,3,6,5,4,2,1] [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,6,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[4,3,5,2,6,1,7,8]=>[6,5,4,3,2,1,7,8] [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,6,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[4,3,5,2,6,1,8,7]=>[6,5,4,3,2,1,8,7] [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[4,5,6,3,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[4,3,5,2,6,7,8,1]=>[8,5,4,3,2,6,7,1] [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,6,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[4,3,5,2,7,6,8,1]=>[8,5,4,3,2,7,6,1] [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,6,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[4,3,5,6,2,7,8,1]=>[8,6,4,3,5,2,7,1] [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,6,3,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[4,3,6,5,7,2,8,1]=>[8,7,4,3,6,5,2,1] [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,6,8,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[4,5,7,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,5,7,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,5,7,8,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,5,8,7,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,6,5,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[4,3,5,2,6,1,8,7]=>[6,5,4,3,2,1,8,7] [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,6,5,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[4,3,5,2,7,6,8,1]=>[8,5,4,3,2,7,6,1] [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,6,5,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[4,3,5,6,2,7,8,1]=>[8,6,4,3,5,2,7,1] [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,6,5,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,6,5,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,6,5,8,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,6,7,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,6,7,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,6,7,8,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,6,8,7,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,7,6,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,7,6,5,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,7,6,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,7,6,8,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,7,8,6,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,8,7,6,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[3,4,2,5,1,6,7,8]=>[5,4,3,2,1,6,7,8] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,4,3,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[3,4,2,5,1,7,6,8]=>[5,4,3,2,1,7,6,8] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,4,3,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[3,4,2,5,1,7,8,6]=>[5,4,3,2,1,8,7,6] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[3,4,2,5,1,7,8,6]=>[5,4,3,2,1,8,7,6] [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,4,3,2,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[3,4,2,5,6,1,8,7]=>[6,4,3,2,5,1,8,7] [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,4,3,2,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[3,4,2,5,6,7,1,8]=>[7,4,3,2,5,6,1,8] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[3,4,2,5,6,7,8,1]=>[8,4,3,2,5,6,7,1] [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,4,3,2,6,8,7,1]=>[8,4,3,2,5,7,6,1]=>[3,4,2,5,7,6,8,1]=>[8,4,3,2,5,7,6,1] [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,4,3,2,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[3,4,2,6,5,7,1,8]=>[7,4,3,2,6,5,1,8] [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,4,3,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[3,4,2,6,5,7,8,1]=>[8,4,3,2,6,5,7,1] [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,4,3,2,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[3,4,2,6,7,5,8,1]=>[8,4,3,2,7,6,5,1] [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,4,3,2,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[3,4,2,6,7,5,8,1]=>[8,4,3,2,7,6,5,1] [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,4,3,6,2,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,5,2,6,1,7,8]=>[6,5,3,4,2,1,7,8] [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,4,3,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,5,2,6,1,8,7]=>[6,5,3,4,2,1,8,7] [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,4,3,6,2,7,8,1]=>[8,5,3,4,2,6,7,1]=>[3,4,5,2,6,7,8,1]=>[8,5,3,4,2,6,7,1] [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,4,3,6,2,8,7,1]=>[8,5,3,4,2,7,6,1]=>[3,4,5,2,7,6,8,1]=>[8,5,3,4,2,7,6,1] [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,4,3,6,7,2,1,8]=>[7,6,3,4,5,2,1,8]=>[3,4,5,6,2,7,1,8]=>[7,6,3,4,5,2,1,8] [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,4,3,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[3,4,5,6,2,7,8,1]=>[8,6,3,4,5,2,7,1] [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,4,3,6,7,8,2,1]=>[8,7,3,4,5,6,2,1]=>[3,4,5,6,7,2,8,1]=>[8,7,3,4,5,6,2,1] [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,4,3,6,8,7,2,1]=>[8,7,3,4,6,5,2,1]=>[3,4,6,5,7,2,8,1]=>[8,7,3,4,6,5,2,1] [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,4,3,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[3,5,4,6,2,7,1,8]=>[7,6,3,5,4,2,1,8] [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,4,3,7,6,2,8,1]=>[8,6,3,5,4,2,7,1]=>[3,5,4,6,2,7,8,1]=>[8,6,3,5,4,2,7,1] [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,4,3,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[3,5,6,4,7,2,8,1]=>[8,7,3,6,5,4,2,1] [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,4,3,8,7,6,2,1]=>[8,7,3,6,5,4,2,1]=>[3,5,6,4,7,2,8,1]=>[8,7,3,6,5,4,2,1] [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,4,6,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[4,3,5,2,6,1,7,8]=>[6,5,4,3,2,1,7,8] [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,4,6,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[4,3,5,2,6,1,8,7]=>[6,5,4,3,2,1,8,7] [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,4,6,3,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[4,3,5,2,6,7,8,1]=>[8,5,4,3,2,6,7,1] [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,4,6,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[4,3,5,2,7,6,8,1]=>[8,5,4,3,2,7,6,1] [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,4,6,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[4,3,5,6,2,7,8,1]=>[8,6,4,3,5,2,7,1] [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,4,6,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,4,6,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,4,6,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,4,7,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,4,7,6,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,4,7,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,4,7,8,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,6,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[4,3,5,2,6,1,7,8]=>[6,5,4,3,2,1,7,8] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,6,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[4,3,5,2,6,1,8,7]=>[6,5,4,3,2,1,8,7] [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,6,4,3,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[4,3,6,5,7,2,8,1]=>[8,7,4,3,6,5,2,1] [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,6,4,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,6,4,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,6,4,8,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,6,7,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,6,7,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,6,7,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,6,8,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,7,6,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,7,6,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,7,6,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,7,6,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,7,8,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,8,7,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[4,3,5,2,6,1,7,8]=>[6,5,4,3,2,1,7,8] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[4,3,5,2,6,1,8,7]=>[6,5,4,3,2,1,8,7] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[4,3,5,2,6,7,8,1]=>[8,5,4,3,2,6,7,1] [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,5,4,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[4,3,5,2,7,6,8,1]=>[8,5,4,3,2,7,6,1] [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,5,4,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[4,3,5,6,2,7,8,1]=>[8,6,4,3,5,2,7,1] [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,5,4,3,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[4,3,6,5,7,2,8,1]=>[8,7,4,3,6,5,2,1] [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,5,4,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,5,4,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,5,4,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,5,4,8,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,5,7,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,5,7,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,5,7,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,5,7,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,5,8,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,7,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,7,5,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,7,5,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,7,5,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,8,7,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,6,5,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1] [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,6,5,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,6,5,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,6,8,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,8,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[5,4,6,3,7,2,8,1,9]=>[8,7,6,5,4,3,2,1,9] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,6,5,7,4,8,3,9,2]=>[1,9,8,7,6,5,4,3,2] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[5,6,4,7,3,8,2,9,1,10]=>[9,8,7,6,5,4,3,2,1,10] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[7,8,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[5,4,6,3,7,2,8,1,9]=>[8,7,6,5,4,3,2,1,9] [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,8,9,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,6,5,7,4,8,3,9,2]=>[1,9,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,6,7,5,8,4,9,3,10,2]=>[1,10,9,8,7,6,5,4,3,2] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[6,5,7,4,8,3,9,2,10,1,11]=>[10,9,8,7,6,5,4,3,2,1,11] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[8,9,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[5,6,4,7,3,8,2,9,1,10]=>[9,8,7,6,5,4,3,2,1,10] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[7,6,8,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[5,4,6,3,7,2,8,1,9]=>[8,7,6,5,4,3,2,1,9] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[6,8,7,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[5,4,6,3,7,2,8,1,9]=>[8,7,6,5,4,3,2,1,9] [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,8,7,9,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,6,5,7,4,8,3,9,2]=>[1,9,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,7,9,8,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,6,5,7,4,8,3,9,2]=>[1,9,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,9,10,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,6,7,5,8,4,9,3,10,2]=>[1,10,9,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,7,6,8,5,9,4,10,3,11,2]=>[1,11,10,9,8,7,6,5,4,3,2] [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]=>[8,7,9,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[5,6,4,7,3,8,2,9,1,10]=>[9,8,7,6,5,4,3,2,1,10] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]=>[7,6,5,8,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[5,4,6,3,7,2,8,1,9]=>[8,7,6,5,4,3,2,1,9] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[6,7,8,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[5,4,6,3,7,2,8,1,9]=>[8,7,6,5,4,3,2,1,9] [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,7,8,9,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,6,5,7,4,8,3,9,2]=>[1,9,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,9,8,10,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,6,7,5,8,4,9,3,10,2]=>[1,10,9,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,6,9,8,7,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,6,5,7,4,8,3,9,2]=>[1,9,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,8,10,9,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,6,7,5,8,4,9,3,10,2]=>[1,10,9,8,7,6,5,4,3,2] [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0]=>[9,8,10,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[6,5,7,4,8,3,9,2,10,1,11]=>[10,9,8,7,6,5,4,3,2,1,11] [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0]=>[8,7,6,9,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[5,6,4,7,3,8,2,9,1,10]=>[9,8,7,6,5,4,3,2,1,10] [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]=>[7,8,9,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[5,6,4,7,3,8,2,9,1,10]=>[9,8,7,6,5,4,3,2,1,10] [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>[6,7,5,8,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[5,4,6,3,7,2,8,1,9]=>[8,7,6,5,4,3,2,1,9] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>[6,5,8,7,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[5,4,6,3,7,2,8,1,9]=>[8,7,6,5,4,3,2,1,9] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[4,8,7,6,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[5,4,6,3,7,2,8,1,9]=>[8,7,6,5,4,3,2,1,9] [1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,7,6,9,8,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,6,5,7,4,8,3,9,2]=>[1,9,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,8,9,10,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,6,7,5,8,4,9,3,10,2]=>[1,10,9,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,7,10,9,8,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,6,7,5,8,4,9,3,10,2]=>[1,10,9,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,9,11,10,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,7,6,8,5,9,4,10,3,11,2]=>[1,11,10,9,8,7,6,5,4,3,2] [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[5,9,8,7,6,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[5,6,4,7,3,8,2,9,1,10]=>[9,8,7,6,5,4,3,2,1,10] [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]=>[6,5,7,8,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[5,4,6,3,7,2,8,1,9]=>[8,7,6,5,4,3,2,1,9] [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,7,6,8,9,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,6,5,7,4,8,3,9,2]=>[1,9,8,7,6,5,4,3,2] [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,4,9,8,7,6,5,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,6,5,7,4,8,3,9,2]=>[1,9,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,8,11,10,9,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,7,6,8,5,9,4,10,3,11,2]=>[1,11,10,9,8,7,6,5,4,3,2] [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0]=>[7,6,8,9,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[5,6,4,7,3,8,2,9,1,10]=>[9,8,7,6,5,4,3,2,1,10] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,8,7,6,5,4,3,1,9]=>[8,7,6,5,4,3,2,1,9]=>[5,4,6,3,7,2,8,1,9]=>[8,7,6,5,4,3,2,1,9] [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,6,7,8,9,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,6,5,7,4,8,3,9,2]=>[1,9,8,7,6,5,4,3,2] [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,9,8,7,6,5,4,2]=>[1,9,8,7,6,5,4,3,2]=>[1,6,5,7,4,8,3,9,2]=>[1,9,8,7,6,5,4,3,2] [1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,5,10,9,8,7,6,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,6,7,5,8,4,9,3,10,2]=>[1,10,9,8,7,6,5,4,3,2] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[4,5,3,6,2,7,1,8,9]=>[7,6,5,4,3,2,1,8,9] [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,7,8,9,10,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,6,7,5,8,4,9,3,10,2]=>[1,10,9,8,7,6,5,4,3,2] [1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,4,10,9,8,7,6,5,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,6,7,5,8,4,9,3,10,2]=>[1,10,9,8,7,6,5,4,3,2] [1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,6,11,10,9,8,7,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,7,6,8,5,9,4,10,3,11,2]=>[1,11,10,9,8,7,6,5,4,3,2] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[5,4,6,3,7,2,8,1,10,9]=>[8,7,6,5,4,3,2,1,10,9] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>[6,7,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[4,5,3,6,2,7,1,8,9]=>[7,6,5,4,3,2,1,8,9] [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,7,6,8,5,9,4,10,3]=>[2,1,10,9,8,7,6,5,4,3] [1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,3,10,9,8,7,6,5,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,6,7,5,8,4,9,3,10,2]=>[1,10,9,8,7,6,5,4,3,2] [1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,5,11,10,9,8,7,6,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,7,6,8,5,9,4,10,3,11,2]=>[1,11,10,9,8,7,6,5,4,3,2] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[5,4,6,3,7,2,8,1,9,10]=>[8,7,6,5,4,3,2,1,9,10] []=>[]=>[]=>[]=>[] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,1]=>[9,2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,8,9,1]=>[9,2,3,4,5,6,7,8,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,9,8,1]=>[9,2,3,4,5,6,8,7,1]=>[2,3,4,5,6,8,7,9,1]=>[9,2,3,4,5,6,8,7,1] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,8,9,1]=>[9,3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,8,9,1]=>[9,3,2,4,5,6,7,8,1] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,8,9,3,1]=>[9,8,3,4,5,6,7,2,1]=>[3,4,5,6,7,8,2,9,1]=>[9,8,3,4,5,6,7,2,1] [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2,8,7,9,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,8,9,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,9,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,9,1]=>[9,2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,8,9,1]=>[9,2,3,4,5,6,7,8,1] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,2,5,6,7,8,9,1]=>[9,3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,8,9,1]=>[9,3,2,4,5,6,7,8,1] [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,4,5,2,6,7,8,9,1]=>[9,4,3,2,5,6,7,8,1]=>[3,4,2,5,6,7,8,9,1]=>[9,4,3,2,5,6,7,8,1] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,9,2,1]=>[9,8,3,4,5,6,7,2,1]=>[3,4,5,6,7,8,2,9,1]=>[9,8,3,4,5,6,7,2,1] [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,9,8,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,9,1]=>[9,3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,8,9,1]=>[9,3,2,4,5,6,7,8,1] [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[4,9,8,7,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,9,1]=>[9,4,3,2,5,6,7,8,1]=>[3,4,2,5,6,7,8,9,1]=>[9,4,3,2,5,6,7,8,1] [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,9,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,6,7,9,8,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[5,7,9,8,6,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[5,8,7,6,9,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[5,9,8,7,6,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>[6,5,4,9,8,7,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[6,5,7,8,9,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]=>[6,5,8,9,7,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0]=>[6,7,5,9,8,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,9,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[6,7,9,8,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[6,8,7,9,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[6,9,8,7,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[7,6,8,5,9,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[7,6,8,9,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[7,6,9,8,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,8,9,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,9,8,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[8,7,6,5,9,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,7,6,9,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,7,9,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,9,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,8,7] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,9,7,8,6]=>[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,9,7,8,6] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,9,6,7,8,5]=>[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,9,6,7,8,5] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,5,6,7,8,4]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,5,6,7,8,4] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]=>[1,2,4,5,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,8,7] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,9,8]=>[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,9,8] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,5,8,7,9,6]=>[1,2,3,4,5,9,7,8,6]=>[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,9,7,8,6] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,10,8,9,7]=>[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,10,8,9,7] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,4,7,6,8,9,5]=>[1,2,3,4,9,6,7,8,5]=>[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,9,6,7,8,5] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,10,7,8,9,6]=>[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,10,7,8,9,6] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,3,6,5,7,8,9,4]=>[1,2,3,9,5,6,7,8,4]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,5,6,7,8,4] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,10,6,7,8,9,5]=>[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,10,6,7,8,9,5] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,2,5,4,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]=>[1,2,4,5,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,10,5,6,7,8,9,4]=>[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,10,5,6,7,8,9,4] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,4,5,6,7,8,9,3]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,4,5,6,7,8,9,3] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,2]=>[1,10,3,4,5,6,7,8,9,2]=>[1,3,4,5,6,7,8,9,10,2]=>[1,10,3,4,5,6,7,8,9,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>[10,2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,9,10,1]=>[10,2,3,4,5,6,7,8,9,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,7,10,9,8]=>[1,2,3,4,5,6,7,10,9,8]=>[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,9,8] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,7,8,10,11,9]=>[1,2,3,4,5,6,7,8,11,10,9]=>[1,2,3,4,5,6,7,8,10,11,9]=>[1,2,3,4,5,6,7,8,11,10,9] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,5,8,9,7,6]=>[1,2,3,4,5,9,8,7,6]=>[1,2,3,4,5,8,7,9,6]=>[1,2,3,4,5,9,8,7,6] [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,5,9,8,7,6]=>[1,2,3,4,5,9,8,7,6]=>[1,2,3,4,5,8,7,9,6]=>[1,2,3,4,5,9,8,7,6] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,9,10,1]=>[10,2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,9,10,1]=>[10,2,3,4,5,6,7,8,9,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,11,2]=>[1,11,3,4,5,6,7,8,9,10,2]=>[1,3,4,5,6,7,8,9,10,11,2]=>[1,11,3,4,5,6,7,8,9,10,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>[11,2,3,4,5,6,7,8,9,10,1]=>[2,3,4,5,6,7,8,9,10,11,1]=>[11,2,3,4,5,6,7,8,9,10,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,7,8,11,10,9]=>[1,2,3,4,5,6,7,8,11,10,9]=>[1,2,3,4,5,6,7,8,10,11,9]=>[1,2,3,4,5,6,7,8,11,10,9] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,2,5,6,7,8,9,10,1]=>[10,3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,9,10,1]=>[10,3,2,4,5,6,7,8,9,1] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,9,10,1]=>[10,3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,9,10,1]=>[10,3,2,4,5,6,7,8,9,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,9,10,11,1]=>[11,2,3,4,5,6,7,8,9,10,1]=>[2,3,4,5,6,7,8,9,10,11,1]=>[11,2,3,4,5,6,7,8,9,10,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,8,7,9]=>[1,2,3,4,5,6,8,7,9]=>[1,2,3,4,5,6,8,7,9]=>[1,2,3,4,5,6,8,7,9] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,5,7,6,8,9]=>[1,2,3,4,5,7,6,8,9]=>[1,2,3,4,5,7,6,8,9]=>[1,2,3,4,5,7,6,8,9] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,5,7,6,9,8]=>[1,2,3,4,5,7,6,9,8]=>[1,2,3,4,5,7,6,9,8]=>[1,2,3,4,5,7,6,9,8] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9]=>[1,2,3,4,6,5,7,8,9]=>[1,2,3,4,6,5,7,8,9]=>[1,2,3,4,6,5,7,8,9] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,8,7,9]=>[1,2,3,4,6,5,8,7,9]=>[1,2,3,4,6,5,8,7,9]=>[1,2,3,4,6,5,8,7,9] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9]=>[1,2,3,5,4,6,7,8,9]=>[1,2,3,5,4,6,7,8,9]=>[1,2,3,5,4,6,7,8,9] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6,9,8]=>[1,2,3,5,4,7,6,9,8]=>[1,2,3,5,4,7,6,9,8]=>[1,2,3,5,4,7,6,9,8] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8,9]=>[1,2,4,3,5,6,7,8,9]=>[1,2,4,3,5,6,7,8,9]=>[1,2,4,3,5,6,7,8,9] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,8,7,9]=>[1,2,4,3,6,5,8,7,9]=>[1,2,4,3,6,5,8,7,9]=>[1,2,4,3,6,5,8,7,9] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,7,9,8]=>[1,3,2,4,5,6,7,9,8]=>[1,3,2,4,5,6,7,9,8]=>[1,3,2,4,5,6,7,9,8] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,5,6,9,8,7]=>[1,3,2,4,5,6,9,8,7]=>[1,3,2,4,5,6,8,9,7]=>[1,3,2,4,5,6,9,8,7] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8,9]=>[1,3,2,5,4,6,7,8,9]=>[1,3,2,5,4,6,7,8,9]=>[1,3,2,5,4,6,7,8,9] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[1,3,4,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,9,8]=>[2,1,3,4,5,6,7,9,8]=>[2,1,3,4,5,6,7,9,8]=>[2,1,3,4,5,6,7,9,8] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,6,8,7,9]=>[2,1,3,4,5,6,8,7,9]=>[2,1,3,4,5,6,8,7,9]=>[2,1,3,4,5,6,8,7,9] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,8,7,9]=>[2,1,4,3,6,5,8,7,9]=>[2,1,4,3,6,5,8,7,9]=>[2,1,4,3,6,5,8,7,9] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,5,4,6,7,8,9]=>[3,2,1,5,4,6,7,8,9]=>[2,3,1,5,4,6,7,8,9]=>[3,2,1,5,4,6,7,8,9] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6,9,8]=>[3,2,1,5,4,7,6,9,8]=>[2,3,1,5,4,7,6,9,8]=>[3,2,1,5,4,7,6,9,8] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[3,2,4,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[4,3,2,1,6,5,8,7,9]=>[4,3,2,1,6,5,8,7,9]=>[3,2,4,1,6,5,8,7,9]=>[4,3,2,1,6,5,8,7,9] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[3,4,2,5,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[4,3,5,2,6,1,7,8,9]=>[6,5,4,3,2,1,7,8,9] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,7,9,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>[1,2,3,4,5,6,7,9,8,10] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,5,6,8,7,9,10]=>[1,2,3,4,5,6,8,7,9,10]=>[1,2,3,4,5,6,8,7,9,10]=>[1,2,3,4,5,6,8,7,9,10] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,5,6,8,7,10,9]=>[1,2,3,4,5,6,8,7,10,9]=>[1,2,3,4,5,6,8,7,10,9]=>[1,2,3,4,5,6,8,7,10,9] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,5,7,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,9,8,10]=>[1,2,3,5,4,7,6,9,8,10]=>[1,2,3,5,4,7,6,9,8,10]=>[1,2,3,5,4,7,6,9,8,10] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,8,7,10,9]=>[1,2,4,3,6,5,8,7,10,9]=>[1,2,4,3,6,5,8,7,10,9]=>[1,2,4,3,6,5,8,7,10,9] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,7,6,10,9,8]=>[1,3,2,5,4,7,6,10,9,8]=>[1,3,2,5,4,7,6,9,10,8]=>[1,3,2,5,4,7,6,10,9,8] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,8,10,9]=>[2,1,3,4,5,6,7,8,10,9]=>[2,1,3,4,5,6,7,8,10,9]=>[2,1,3,4,5,6,7,8,10,9] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9,10]=>[2,1,4,3,5,6,7,8,9,10]=>[2,1,4,3,5,6,7,8,9,10]=>[2,1,4,3,5,6,7,8,9,10] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3,10,9,8,7]=>[2,1,6,5,4,3,10,9,8,7]=>[2,1,5,4,6,3,9,8,10,7]=>[2,1,6,5,4,3,10,9,8,7] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,6,5,7,4,8,3,10,9]=>[2,1,8,7,6,5,4,3,10,9] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,7,6,9,8,10]=>[3,2,1,5,4,7,6,9,8,10]=>[2,3,1,5,4,7,6,9,8,10]=>[3,2,1,5,4,7,6,9,8,10] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[3,2,4,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[3,2,4,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,6,5,10,9,8,7]=>[4,3,2,1,6,5,10,9,8,7]=>[3,2,4,1,6,5,9,8,10,7]=>[4,3,2,1,6,5,10,9,8,7] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,8,7,6,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[3,2,4,1,7,6,8,5,10,9]=>[4,3,2,1,8,7,6,5,10,9] [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>[3,2,4,1,8,7,9,6,10,5]=>[4,3,2,1,10,9,8,7,6,5] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[3,4,2,5,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[4,3,5,2,6,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>[4,3,5,2,6,1,9,8,10,7]=>[6,5,4,3,2,1,10,9,8,7] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[4,5,3,6,2,7,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]=>[5,2,3,4,1,6,7,8,9] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,6,1,7,8,9]=>[6,2,3,4,5,1,7,8,9]=>[2,3,4,5,6,1,7,8,9]=>[6,2,3,4,5,1,7,8,9] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9]=>[7,2,3,4,5,6,1,8,9]=>[2,3,4,5,6,7,1,8,9]=>[7,2,3,4,5,6,1,8,9] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,1,9]=>[8,2,3,4,5,6,7,1,9]=>[2,3,4,5,6,7,8,1,9]=>[8,2,3,4,5,6,7,1,9] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[3,2,4,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,1,10]=>[9,2,3,4,5,6,7,8,1,10]=>[2,3,4,5,6,7,8,9,1,10]=>[9,2,3,4,5,6,7,8,1,10] [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,6,7,8,10,9,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,6,8,9,7]=>[2,1,3,4,5,6,9,8,7]=>[2,1,3,4,5,6,8,9,7]=>[2,1,3,4,5,6,9,8,7] [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[8,10,9,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,8,10,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,8,10,9,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[8,7,9,10,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,5,6,8,9,7]=>[1,3,2,4,5,6,9,8,7]=>[1,3,2,4,5,6,8,9,7]=>[1,3,2,4,5,6,9,8,7] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,6,7,9,8]=>[3,2,1,4,5,6,7,9,8]=>[2,3,1,4,5,6,7,9,8]=>[3,2,1,4,5,6,7,9,8] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,4,5,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[3,4,2,5,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,4,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[3,2,4,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9] [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,10,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9] [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,10,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[7,10,9,8,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[6,10,9,8,7,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,10,9,8,7,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[4,10,9,8,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,10,9,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,6,7,8,9,10,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,6,7,5,8,4,9,3,10,2]=>[1,10,9,8,7,6,5,4,3,2] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,7,8,1,9]=>[8,2,3,4,5,6,7,1,9]=>[2,3,4,5,6,7,8,1,9]=>[8,2,3,4,5,6,7,1,9] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,1,9,8]=>[7,2,3,4,5,6,1,9,8]=>[2,3,4,5,6,7,1,9,8]=>[7,2,3,4,5,6,1,9,8] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,9,3]=>[2,1,9,4,5,6,7,8,3]=>[2,1,4,5,6,7,8,9,3]=>[2,1,9,4,5,6,7,8,3] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,6,1,9,8,7]=>[6,2,3,4,5,1,9,8,7]=>[2,3,4,5,6,1,8,9,7]=>[6,2,3,4,5,1,9,8,7] [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[9,8,7,6,10,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,8,7,10,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,5,4,6,7,8,9]=>[3,2,1,5,4,6,7,8,9]=>[2,3,1,5,4,6,7,8,9]=>[3,2,1,5,4,6,7,8,9] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6,9,8]=>[3,2,1,5,4,7,6,9,8]=>[2,3,1,5,4,7,6,9,8]=>[3,2,1,5,4,7,6,9,8] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[3,2,4,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,8,7,10,9,1]=>[10,3,2,5,4,7,6,9,8,1]=>[3,2,5,4,7,6,9,8,10,1]=>[10,3,2,5,4,7,6,9,8,1] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,9,8,10]=>[3,2,1,5,4,7,6,9,8,10]=>[2,3,1,5,4,7,6,9,8,10]=>[3,2,1,5,4,7,6,9,8,10] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,8,9,10,11,3,1]=>[11,10,3,4,5,6,7,8,9,2,1]=>[3,4,5,6,7,8,9,10,2,11,1]=>[11,10,3,4,5,6,7,8,9,2,1] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,9,10,11,2,1]=>[11,10,3,4,5,6,7,8,9,2,1]=>[3,4,5,6,7,8,9,10,2,11,1]=>[11,10,3,4,5,6,7,8,9,2,1] [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[8,7,10,9,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]=>[7,6,5,10,9,8,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[6,5,4,3,10,9,8,7,2,1]=>[10,9,4,3,8,7,6,5,2,1]=>[4,3,7,6,8,5,9,2,10,1]=>[10,9,4,3,8,7,6,5,2,1] [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,3,5,7,9,10,8,6,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,6,7,5,8,4,9,3,10,2]=>[1,10,9,8,7,6,5,4,3,2] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,5,7,9,8,6]=>[1,2,3,4,5,9,8,7,6]=>[1,2,3,4,5,8,7,9,6]=>[1,2,3,4,5,9,8,7,6] [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,6,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[4,3,5,2,6,1,7,8,9]=>[6,5,4,3,2,1,7,8,9] [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,5,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[3,4,2,5,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[1,3,4,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9] [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[8,9,10,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,7,8,10,9,11]=>[1,2,3,4,5,6,7,8,10,9,11]=>[1,2,3,4,5,6,7,8,10,9,11]=>[1,2,3,4,5,6,7,8,10,9,11] [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,9,10,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,8,9,10,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,10,1,11]=>[10,2,3,4,5,6,7,8,9,1,11]=>[2,3,4,5,6,7,8,9,10,1,11]=>[10,2,3,4,5,6,7,8,9,1,11] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,7,6,5,4,3,2,10,9,1]=>[10,7,6,5,4,3,2,9,8,1]=>[5,4,6,3,7,2,9,8,10,1]=>[10,7,6,5,4,3,2,9,8,1] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,4,5,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[3,4,2,5,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,4,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[3,2,4,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,6,1,8,9,7]=>[6,2,3,4,5,1,9,8,7]=>[2,3,4,5,6,1,8,9,7]=>[6,2,3,4,5,1,9,8,7] [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,6,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[4,3,5,2,6,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[6,7,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[4,5,3,6,2,7,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6,9,8,11,10]=>[1,3,2,5,4,7,6,9,8,11,10]=>[1,3,2,5,4,7,6,9,8,11,10]=>[1,3,2,5,4,7,6,9,8,11,10] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,4,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[3,2,4,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7,10,9]=>[4,2,3,1,6,5,8,7,10,9]=>[2,3,4,1,6,5,8,7,10,9]=>[4,2,3,1,6,5,8,7,10,9] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,6,5,9,8,10,7]=>[2,1,4,3,6,5,10,8,9,7]=>[2,1,4,3,6,5,8,9,10,7]=>[2,1,4,3,6,5,10,8,9,7] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,10,8]=>[1,3,2,5,4,7,6,10,9,8]=>[1,3,2,5,4,7,6,9,10,8]=>[1,3,2,5,4,7,6,10,9,8] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[3,2,4,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10] [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,5,7,9,8,6,4,2]=>[1,9,8,7,6,5,4,3,2]=>[1,6,5,7,4,8,3,9,2]=>[1,9,8,7,6,5,4,3,2] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7,10,9]=>[2,1,6,4,5,3,8,7,10,9]=>[2,1,4,5,6,3,8,7,10,9]=>[2,1,6,4,5,3,8,7,10,9] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,4,3,7,6,8,5,10,9]=>[2,1,4,3,8,6,7,5,10,9]=>[2,1,4,3,6,7,8,5,10,9]=>[2,1,4,3,8,6,7,5,10,9] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,7,6,8,5,10,9]=>[4,2,3,1,8,6,7,5,10,9]=>[2,3,4,1,6,7,8,5,10,9]=>[4,2,3,1,8,6,7,5,10,9] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,6,5,9,8,10,7]=>[4,2,3,1,6,5,10,8,9,7]=>[2,3,4,1,6,5,8,9,10,7]=>[4,2,3,1,6,5,10,8,9,7] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3,9,8,10,7]=>[2,1,6,4,5,3,10,8,9,7]=>[2,1,4,5,6,3,8,9,10,7]=>[2,1,6,4,5,3,10,8,9,7] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7,10,9,12,11]=>[4,2,3,1,6,5,8,7,10,9,12,11]=>[2,3,4,1,6,5,8,7,10,9,12,11]=>[4,2,3,1,6,5,8,7,10,9,12,11] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7,10,9,12,11]=>[2,1,6,4,5,3,8,7,10,9,12,11]=>[2,1,4,5,6,3,8,7,10,9,12,11]=>[2,1,6,4,5,3,8,7,10,9,12,11] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,7,6,8,5,10,9,12,11]=>[2,1,4,3,8,6,7,5,10,9,12,11]=>[2,1,4,3,6,7,8,5,10,9,12,11]=>[2,1,4,3,8,6,7,5,10,9,12,11] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,7,6,8,5,10,9,12,11]=>[4,2,3,1,8,6,7,5,10,9,12,11]=>[2,3,4,1,6,7,8,5,10,9,12,11]=>[4,2,3,1,8,6,7,5,10,9,12,11] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,9,8,10,7,12,11]=>[2,1,4,3,6,5,10,8,9,7,12,11]=>[2,1,4,3,6,5,8,9,10,7,12,11]=>[2,1,4,3,6,5,10,8,9,7,12,11] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,9,8,10,7,12,11]=>[4,2,3,1,6,5,10,8,9,7,12,11]=>[2,3,4,1,6,5,8,9,10,7,12,11]=>[4,2,3,1,6,5,10,8,9,7,12,11] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,9,8,10,7,12,11]=>[2,1,6,4,5,3,10,8,9,7,12,11]=>[2,1,4,5,6,3,8,9,10,7,12,11]=>[2,1,6,4,5,3,10,8,9,7,12,11] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,6,5,8,7,11,10,12,9]=>[2,1,4,3,6,5,8,7,12,10,11,9]=>[2,1,4,3,6,5,8,7,10,11,12,9]=>[2,1,4,3,6,5,8,7,12,10,11,9] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,6,5,8,7,11,10,12,9]=>[4,2,3,1,6,5,8,7,12,10,11,9]=>[2,3,4,1,6,5,8,7,10,11,12,9]=>[4,2,3,1,6,5,8,7,12,10,11,9] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3,8,7,11,10,12,9]=>[2,1,6,4,5,3,8,7,12,10,11,9]=>[2,1,4,5,6,3,8,7,10,11,12,9]=>[2,1,6,4,5,3,8,7,12,10,11,9] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,8,5,11,10,12,9]=>[2,1,4,3,8,6,7,5,12,10,11,9]=>[2,1,4,3,6,7,8,5,10,11,12,9]=>[2,1,4,3,8,6,7,5,12,10,11,9] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,8,5,11,10,12,9]=>[4,2,3,1,8,6,7,5,12,10,11,9]=>[2,3,4,1,6,7,8,5,10,11,12,9]=>[4,2,3,1,8,6,7,5,12,10,11,9] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,3,6,5,8,7,10,9,2,1]=>[10,9,4,3,6,5,8,7,2,1]=>[4,3,6,5,8,7,9,2,10,1]=>[10,9,4,3,6,5,8,7,2,1] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[6,5,7,4,8,3,9,2,10,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[2,1,5,4,6,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,3,6,8,7,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[2,1,4,3,7,6,8,5,10,9]=>[2,1,4,3,8,7,6,5,10,9] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,5,8,10,9,7]=>[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,9,8,10,7]=>[2,1,4,3,6,5,10,9,8,7] [1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,3,11,10,9,8,7,6,5,4,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,7,6,8,5,9,4,10,3,11,2]=>[1,11,10,9,8,7,6,5,4,3,2] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,5,8,9,10,7]=>[4,2,3,1,6,5,10,8,9,7]=>[2,3,4,1,6,5,8,9,10,7]=>[4,2,3,1,6,5,10,8,9,7] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,5,8,9,10,7]=>[2,1,4,3,6,5,10,8,9,7]=>[2,1,4,3,6,5,8,9,10,7]=>[2,1,4,3,6,5,10,8,9,7] [1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[2,1,7,8,9,10,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,7,6,8,5,9,4,10,3]=>[2,1,10,9,8,7,6,5,4,3] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[3,4,2,1,6,5,9,10,8,7]=>[4,3,2,1,6,5,10,9,8,7]=>[3,2,4,1,6,5,9,8,10,7]=>[4,3,2,1,6,5,10,9,8,7] [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6,9,8]=>[1,5,3,4,2,7,6,9,8]=>[1,3,4,5,2,7,6,9,8]=>[1,5,3,4,2,7,6,9,8] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,8,7,10,9]=>[4,2,3,1,6,5,8,7,10,9]=>[2,3,4,1,6,5,8,7,10,9]=>[4,2,3,1,6,5,8,7,10,9] [1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,5,9,8,7,6,4,2]=>[1,9,8,7,6,5,4,3,2]=>[1,6,5,7,4,8,3,9,2]=>[1,9,8,7,6,5,4,3,2] [1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,5,10,9,8,7,6,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,6,7,5,8,4,9,3,10,2]=>[1,10,9,8,7,6,5,4,3,2] [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,3,5,7,10,9,8,6,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,6,7,5,8,4,9,3,10,2]=>[1,10,9,8,7,6,5,4,3,2]
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
Demazure product with inverse
Description
This map sends a permutation $\pi$ to $\pi^{-1} \star \pi$ where $\star$ denotes the Demazure product on permutations.
This map is a surjection onto the set of involutions, i.e., the set of permutations $\pi$ for which $\pi = \pi^{-1}$.
Map
inverse first fundamental transformation
Description
Let $\sigma = (i_{11}\cdots i_{1k_1})\cdots(i_{\ell 1}\cdots i_{\ell k_\ell})$ be a permutation given by cycle notation such that every cycle starts with its maximal entry, and all cycles are ordered increasingly by these maximal entries.
Maps $\sigma$ to the permutation $[i_{11},\ldots,i_{1k_1},\ldots,i_{\ell 1},\ldots,i_{\ell k_\ell}]$ in one-line notation.
In other words, this map sends the maximal entries of the cycles to the left-to-right maxima, and the sequences between two left-to-right maxima are given by the cycles.
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.