Identifier
Mp00129: Dyck paths to 321-avoiding permutation (Billey-Jockusch-Stanley)Permutations
Mp00235: Permutations descent views to invisible inversion bottomsPermutations
Mp00087: Permutations inverse first fundamental transformationPermutations
Mp00237: Permutations descent views to invisible inversion bottomsPermutations
Images
=>
Cc0005;cc-rep-0
[1,0]=>[1]=>[1]=>[1]=>[1] [1,0,1,0]=>[2,1]=>[2,1]=>[2,1]=>[2,1] [1,1,0,0]=>[1,2]=>[1,2]=>[1,2]=>[1,2] [1,0,1,0,1,0]=>[2,3,1]=>[3,2,1]=>[2,3,1]=>[3,2,1] [1,0,1,1,0,0]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>[2,1,3] [1,1,0,0,1,0]=>[1,3,2]=>[1,3,2]=>[1,3,2]=>[1,3,2] [1,1,0,1,0,0]=>[3,1,2]=>[3,1,2]=>[3,2,1]=>[2,3,1] [1,1,1,0,0,0]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>[1,2,3] [1,0,1,0,1,0,1,0]=>[2,3,4,1]=>[4,2,3,1]=>[2,3,4,1]=>[4,2,3,1] [1,0,1,0,1,1,0,0]=>[2,3,1,4]=>[3,2,1,4]=>[2,3,1,4]=>[3,2,1,4] [1,0,1,1,0,0,1,0]=>[2,1,4,3]=>[2,1,4,3]=>[2,1,4,3]=>[2,1,4,3] [1,0,1,1,0,1,0,0]=>[2,4,1,3]=>[4,2,1,3]=>[2,4,3,1]=>[3,2,4,1] [1,0,1,1,1,0,0,0]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4] [1,1,0,0,1,0,1,0]=>[1,3,4,2]=>[1,4,3,2]=>[1,3,4,2]=>[1,4,3,2] [1,1,0,0,1,1,0,0]=>[1,3,2,4]=>[1,3,2,4]=>[1,3,2,4]=>[1,3,2,4] [1,1,0,1,0,0,1,0]=>[3,1,4,2]=>[3,4,1,2]=>[3,1,4,2]=>[3,4,1,2] [1,1,0,1,0,1,0,0]=>[3,4,1,2]=>[4,1,3,2]=>[3,4,2,1]=>[2,4,3,1] [1,1,0,1,1,0,0,0]=>[3,1,2,4]=>[3,1,2,4]=>[3,2,1,4]=>[2,3,1,4] [1,1,1,0,0,0,1,0]=>[1,2,4,3]=>[1,2,4,3]=>[1,2,4,3]=>[1,2,4,3] [1,1,1,0,0,1,0,0]=>[1,4,2,3]=>[1,4,2,3]=>[1,4,3,2]=>[1,3,4,2] [1,1,1,0,1,0,0,0]=>[4,1,2,3]=>[4,1,2,3]=>[4,3,2,1]=>[2,3,4,1] [1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4] [1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,3,4,5,1]=>[5,2,3,4,1] [1,0,1,0,1,0,1,1,0,0]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5] [1,0,1,0,1,1,0,0,1,0]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4] [1,0,1,0,1,1,0,1,0,0]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[2,3,5,4,1]=>[4,2,3,5,1] [1,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5] [1,0,1,1,0,0,1,0,1,0]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[2,1,5,4,3] [1,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5] [1,0,1,1,0,1,0,0,1,0]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[4,2,5,1,3] [1,0,1,1,0,1,0,1,0,0]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[2,4,5,3,1]=>[3,2,5,4,1] [1,0,1,1,0,1,1,0,0,0]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[2,4,3,1,5]=>[3,2,4,1,5] [1,0,1,1,1,0,0,0,1,0]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4] [1,0,1,1,1,0,0,1,0,0]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[2,1,5,4,3]=>[2,1,4,5,3] [1,0,1,1,1,0,1,0,0,0]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[2,5,4,3,1]=>[3,2,4,5,1] [1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5] [1,1,0,0,1,0,1,0,1,0]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[1,3,4,5,2]=>[1,5,3,4,2] [1,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5] [1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4] [1,1,0,0,1,1,0,1,0,0]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[1,3,5,4,2]=>[1,4,3,5,2] [1,1,0,0,1,1,1,0,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5] [1,1,0,1,0,0,1,0,1,0]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[3,1,4,5,2]=>[3,5,1,4,2] [1,1,0,1,0,0,1,1,0,0]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[3,4,1,2,5] [1,1,0,1,0,1,0,0,1,0]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[3,4,1,5,2]=>[4,5,3,1,2] [1,1,0,1,0,1,0,1,0,0]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,4,5,2,1]=>[2,5,3,4,1] [1,1,0,1,0,1,1,0,0,0]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,4,2,1,5]=>[2,4,3,1,5] [1,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4] [1,1,0,1,1,0,0,1,0,0]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,1,5,4,2]=>[3,4,1,5,2] [1,1,0,1,1,0,1,0,0,0]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[3,5,4,2,1]=>[2,4,3,5,1] [1,1,0,1,1,1,0,0,0,0]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5] [1,1,1,0,0,0,1,0,1,0]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[1,2,5,4,3] [1,1,1,0,0,0,1,1,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5] [1,1,1,0,0,1,0,0,1,0]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[1,4,2,5,3]=>[1,4,5,2,3] [1,1,1,0,0,1,0,1,0,0]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[1,4,5,3,2]=>[1,3,5,4,2] [1,1,1,0,0,1,1,0,0,0]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[1,4,3,2,5]=>[1,3,4,2,5] [1,1,1,0,1,0,0,0,1,0]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[4,2,1,5,3]=>[2,4,5,1,3] [1,1,1,0,1,0,0,1,0,0]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[4,1,5,3,2]=>[4,3,5,1,2] [1,1,1,0,1,0,1,0,0,0]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,5,3,2,1]=>[2,3,5,4,1] [1,1,1,0,1,1,0,0,0,0]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,3,2,1,5]=>[2,3,4,1,5] [1,1,1,1,0,0,0,0,1,0]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4] [1,1,1,1,0,0,0,1,0,0]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[1,2,5,4,3]=>[1,2,4,5,3] [1,1,1,1,0,0,1,0,0,0]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[1,3,4,5,2] [1,1,1,1,0,1,0,0,0,0]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5,4,3,2,1]=>[2,3,4,5,1] [1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5] [1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1] [1,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6] [1,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,4,1,6,5]=>[4,2,3,1,6,5]=>[2,3,4,1,6,5]=>[4,2,3,1,6,5] [1,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>[2,3,4,6,5,1]=>[5,2,3,4,6,1] [1,0,1,0,1,0,1,1,1,0,0,0]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6] [1,0,1,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,6,4]=>[3,2,1,6,5,4]=>[2,3,1,5,6,4]=>[3,2,1,6,5,4] [1,0,1,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,6]=>[3,2,1,5,4,6]=>[2,3,1,5,4,6]=>[3,2,1,5,4,6] [1,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,5,1,6,4]=>[5,2,3,6,1,4]=>[2,3,5,1,6,4]=>[5,2,3,6,1,4] [1,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>[2,3,5,6,4,1]=>[4,2,3,6,5,1] [1,0,1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>[2,3,5,4,1,6]=>[4,2,3,5,1,6] [1,0,1,0,1,1,1,0,0,0,1,0]=>[2,3,1,4,6,5]=>[3,2,1,4,6,5]=>[2,3,1,4,6,5]=>[3,2,1,4,6,5] [1,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,4,5]=>[3,2,1,6,4,5]=>[2,3,1,6,5,4]=>[3,2,1,5,6,4] [1,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>[2,3,6,5,4,1]=>[4,2,3,5,6,1] [1,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6] [1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,5,6,3]=>[2,1,6,4,5,3]=>[2,1,4,5,6,3]=>[2,1,6,4,5,3] [1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,5,3,6]=>[2,1,5,4,3,6]=>[2,1,4,5,3,6]=>[2,1,5,4,3,6] [1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5] [1,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,6,3,5]=>[2,1,6,4,3,5]=>[2,1,4,6,5,3]=>[2,1,5,4,6,3] [1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6] [1,0,1,1,0,1,0,0,1,0,1,0]=>[2,4,1,5,6,3]=>[4,2,6,1,5,3]=>[2,4,1,5,6,3]=>[4,2,6,1,5,3] [1,0,1,1,0,1,0,0,1,1,0,0]=>[2,4,1,5,3,6]=>[4,2,5,1,3,6]=>[2,4,1,5,3,6]=>[4,2,5,1,3,6] [1,0,1,1,0,1,0,1,0,0,1,0]=>[2,4,5,1,6,3]=>[5,2,6,4,1,3]=>[2,4,5,1,6,3]=>[5,2,6,4,1,3] [1,0,1,1,0,1,0,1,0,1,0,0]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>[2,4,5,6,3,1]=>[3,2,6,4,5,1] [1,0,1,1,0,1,0,1,1,0,0,0]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>[2,4,5,3,1,6]=>[3,2,5,4,1,6] [1,0,1,1,0,1,1,0,0,0,1,0]=>[2,4,1,3,6,5]=>[4,2,1,3,6,5]=>[2,4,3,1,6,5]=>[3,2,4,1,6,5] [1,0,1,1,0,1,1,0,0,1,0,0]=>[2,4,1,6,3,5]=>[4,2,6,1,3,5]=>[2,4,1,6,5,3]=>[4,2,5,1,6,3] [1,0,1,1,0,1,1,0,1,0,0,0]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>[2,4,6,5,3,1]=>[3,2,5,4,6,1] [1,0,1,1,0,1,1,1,0,0,0,0]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>[2,4,3,1,5,6]=>[3,2,4,1,5,6] [1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,3,5,6,4]=>[2,1,3,6,5,4]=>[2,1,3,5,6,4]=>[2,1,3,6,5,4] [1,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6] [1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,3,6,4]=>[2,1,5,6,3,4]=>[2,1,5,3,6,4]=>[2,1,5,6,3,4] [1,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,6,3,4]=>[2,1,6,3,5,4]=>[2,1,5,6,4,3]=>[2,1,4,6,5,3] [1,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,3,4,6]=>[2,1,5,3,4,6]=>[2,1,5,4,3,6]=>[2,1,4,5,3,6] [1,0,1,1,1,0,1,0,0,0,1,0]=>[2,5,1,3,6,4]=>[5,2,1,6,3,4]=>[2,5,3,1,6,4]=>[3,2,5,6,1,4] [1,0,1,1,1,0,1,0,0,1,0,0]=>[2,5,1,6,3,4]=>[5,2,6,3,1,4]=>[2,5,1,6,4,3]=>[5,2,4,6,1,3] [1,0,1,1,1,0,1,0,1,0,0,0]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>[2,5,6,4,3,1]=>[3,2,4,6,5,1] [1,0,1,1,1,0,1,1,0,0,0,0]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>[2,5,4,3,1,6]=>[3,2,4,5,1,6] [1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5] [1,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,3,6,4,5]=>[2,1,3,6,4,5]=>[2,1,3,6,5,4]=>[2,1,3,5,6,4] [1,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,6,3,4,5]=>[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[2,1,4,5,6,3] [1,0,1,1,1,1,0,1,0,0,0,0]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>[2,6,5,4,3,1]=>[3,2,4,5,6,1] [1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2] [1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6] [1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5] [1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2] [1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6] [1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4] [1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6] [1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4] [1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2] [1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6] [1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5] [1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4] [1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2] [1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6] [1,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,4,5,6,2]=>[3,6,1,4,5,2]=>[3,1,4,5,6,2]=>[3,6,1,4,5,2] [1,1,0,1,0,0,1,0,1,1,0,0]=>[3,1,4,5,2,6]=>[3,5,1,4,2,6]=>[3,1,4,5,2,6]=>[3,5,1,4,2,6] [1,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,4,2,6,5]=>[3,4,1,2,6,5]=>[3,1,4,2,6,5]=>[3,4,1,2,6,5] [1,1,0,1,0,0,1,1,0,1,0,0]=>[3,1,4,6,2,5]=>[3,6,1,4,2,5]=>[3,1,4,6,5,2]=>[3,5,1,4,6,2] [1,1,0,1,0,0,1,1,1,0,0,0]=>[3,1,4,2,5,6]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[3,4,1,2,5,6] [1,1,0,1,0,1,0,0,1,0,1,0]=>[3,4,1,5,6,2]=>[4,6,3,1,5,2]=>[3,4,1,5,6,2]=>[4,6,3,1,5,2] [1,1,0,1,0,1,0,0,1,1,0,0]=>[3,4,1,5,2,6]=>[4,5,3,1,2,6]=>[3,4,1,5,2,6]=>[4,5,3,1,2,6] [1,1,0,1,0,1,0,1,0,0,1,0]=>[3,4,5,1,6,2]=>[5,6,3,4,1,2]=>[3,4,5,1,6,2]=>[5,6,3,4,1,2] [1,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>[3,4,5,6,2,1]=>[2,6,3,4,5,1] [1,1,0,1,0,1,0,1,1,0,0,0]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>[3,4,5,2,1,6]=>[2,5,3,4,1,6] [1,1,0,1,0,1,1,0,0,0,1,0]=>[3,4,1,2,6,5]=>[4,1,3,2,6,5]=>[3,4,2,1,6,5]=>[2,4,3,1,6,5] [1,1,0,1,0,1,1,0,0,1,0,0]=>[3,4,1,6,2,5]=>[4,6,3,1,2,5]=>[3,4,1,6,5,2]=>[4,5,3,1,6,2] [1,1,0,1,0,1,1,0,1,0,0,0]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>[3,4,6,5,2,1]=>[2,5,3,4,6,1] [1,1,0,1,0,1,1,1,0,0,0,0]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[3,4,2,1,5,6]=>[2,4,3,1,5,6] [1,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,2,5,6,4]=>[3,1,2,6,5,4]=>[3,2,1,5,6,4]=>[2,3,1,6,5,4] [1,1,0,1,1,0,0,0,1,1,0,0]=>[3,1,2,5,4,6]=>[3,1,2,5,4,6]=>[3,2,1,5,4,6]=>[2,3,1,5,4,6] [1,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,5,2,6,4]=>[3,5,1,6,2,4]=>[3,1,5,2,6,4]=>[3,5,1,6,2,4] [1,1,0,1,1,0,0,1,0,1,0,0]=>[3,1,5,6,2,4]=>[3,6,1,2,5,4]=>[3,1,5,6,4,2]=>[3,4,1,6,5,2] [1,1,0,1,1,0,0,1,1,0,0,0]=>[3,1,5,2,4,6]=>[3,5,1,2,4,6]=>[3,1,5,4,2,6]=>[3,4,1,5,2,6] [1,1,0,1,1,0,1,0,0,0,1,0]=>[3,5,1,2,6,4]=>[5,1,3,6,2,4]=>[3,5,2,1,6,4]=>[2,5,3,6,1,4] [1,1,0,1,1,0,1,0,0,1,0,0]=>[3,5,1,6,2,4]=>[5,6,3,2,1,4]=>[3,5,1,6,4,2]=>[5,4,3,6,1,2] [1,1,0,1,1,0,1,0,1,0,0,0]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>[3,5,6,4,2,1]=>[2,4,3,6,5,1] [1,1,0,1,1,0,1,1,0,0,0,0]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>[3,5,4,2,1,6]=>[2,4,3,5,1,6] [1,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,2,4,6,5]=>[3,1,2,4,6,5]=>[3,2,1,4,6,5]=>[2,3,1,4,6,5] [1,1,0,1,1,1,0,0,0,1,0,0]=>[3,1,2,6,4,5]=>[3,1,2,6,4,5]=>[3,2,1,6,5,4]=>[2,3,1,5,6,4] [1,1,0,1,1,1,0,0,1,0,0,0]=>[3,1,6,2,4,5]=>[3,6,1,2,4,5]=>[3,1,6,5,4,2]=>[3,4,1,5,6,2] [1,1,0,1,1,1,0,1,0,0,0,0]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>[3,6,5,4,2,1]=>[2,4,3,5,6,1] [1,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6] [1,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3] [1,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6] [1,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [1,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3] [1,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6] [1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3] [1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6] [1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3] [1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2] [1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6] [1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5] [1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3] [1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2] [1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6] [1,1,1,0,1,0,0,0,1,0,1,0]=>[4,1,2,5,6,3]=>[4,1,6,2,5,3]=>[4,2,1,5,6,3]=>[2,4,6,1,5,3] [1,1,1,0,1,0,0,0,1,1,0,0]=>[4,1,2,5,3,6]=>[4,1,5,2,3,6]=>[4,2,1,5,3,6]=>[2,4,5,1,3,6] [1,1,1,0,1,0,0,1,0,0,1,0]=>[4,1,5,2,6,3]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[4,5,6,1,2,3] [1,1,1,0,1,0,0,1,0,1,0,0]=>[4,1,5,6,2,3]=>[4,6,2,1,5,3]=>[4,1,5,6,3,2]=>[4,3,6,1,5,2] [1,1,1,0,1,0,0,1,1,0,0,0]=>[4,1,5,2,3,6]=>[4,5,2,1,3,6]=>[4,1,5,3,2,6]=>[4,3,5,1,2,6] [1,1,1,0,1,0,1,0,0,0,1,0]=>[4,5,1,2,6,3]=>[5,1,6,4,2,3]=>[4,5,2,1,6,3]=>[2,5,6,4,1,3] [1,1,1,0,1,0,1,0,0,1,0,0]=>[4,5,1,6,2,3]=>[5,6,2,4,1,3]=>[4,5,1,6,3,2]=>[5,3,6,4,1,2] [1,1,1,0,1,0,1,0,1,0,0,0]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[4,5,6,3,2,1]=>[2,3,6,4,5,1] [1,1,1,0,1,0,1,1,0,0,0,0]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[4,5,3,2,1,6]=>[2,3,5,4,1,6] [1,1,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,6,5]=>[4,1,2,3,6,5]=>[4,3,2,1,6,5]=>[2,3,4,1,6,5] [1,1,1,0,1,1,0,0,0,1,0,0]=>[4,1,2,6,3,5]=>[4,1,6,2,3,5]=>[4,2,1,6,5,3]=>[2,4,5,1,6,3] [1,1,1,0,1,1,0,0,1,0,0,0]=>[4,1,6,2,3,5]=>[4,6,2,1,3,5]=>[4,1,6,5,3,2]=>[4,3,5,1,6,2] [1,1,1,0,1,1,0,1,0,0,0,0]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1] [1,1,1,0,1,1,1,0,0,0,0,0]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6] [1,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4] [1,1,1,1,0,0,0,0,1,1,0,0]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6] [1,1,1,1,0,0,0,1,0,0,1,0]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4] [1,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3] [1,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6] [1,1,1,1,0,0,1,0,0,0,1,0]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[1,5,3,2,6,4]=>[1,3,5,6,2,4] [1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3] [1,1,1,1,0,0,1,0,1,0,0,0]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2] [1,1,1,1,0,0,1,1,0,0,0,0]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6] [1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1,2,3,6,4]=>[5,1,2,6,3,4]=>[5,3,2,1,6,4]=>[2,3,5,6,1,4] [1,1,1,1,0,1,0,0,0,1,0,0]=>[5,1,2,6,3,4]=>[5,1,6,3,2,4]=>[5,2,1,6,4,3]=>[2,5,4,6,1,3] [1,1,1,1,0,1,0,0,1,0,0,0]=>[5,1,6,2,3,4]=>[5,6,2,3,1,4]=>[5,1,6,4,3,2]=>[5,3,4,6,1,2] [1,1,1,1,0,1,0,1,0,0,0,0]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1] [1,1,1,1,0,1,1,0,0,0,0,0]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6] [1,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5] [1,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4] [1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3] [1,1,1,1,1,0,0,1,0,0,0,0]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2] [1,1,1,1,1,0,1,0,0,0,0,0]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1] [1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6] [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[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] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[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] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,4,5,7,1,6]=>[7,2,3,4,5,1,6]=>[2,3,4,5,7,6,1]=>[6,2,3,4,5,7,1] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[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] [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[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] [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[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] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,4,6,1,7,5]=>[6,2,3,4,7,1,5]=>[2,3,4,6,1,7,5]=>[6,2,3,4,7,1,5] [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,4,6,7,1,5]=>[7,2,3,4,1,6,5]=>[2,3,4,6,7,5,1]=>[5,2,3,4,7,6,1] [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[2,3,4,6,1,5,7]=>[6,2,3,4,1,5,7]=>[2,3,4,6,5,1,7]=>[5,2,3,4,6,1,7] [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[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] [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,4,1,7,5,6]=>[4,2,3,1,7,5,6]=>[2,3,4,1,7,6,5]=>[4,2,3,1,6,7,5] [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,4,7,1,5,6]=>[7,2,3,4,1,5,6]=>[2,3,4,7,6,5,1]=>[5,2,3,4,6,7,1] [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[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] [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[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] [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[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] [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[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] [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,7,4,6]=>[3,2,1,7,5,4,6]=>[2,3,1,5,7,6,4]=>[3,2,1,6,5,7,4] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[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] [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[2,3,5,1,6,7,4]=>[5,2,3,7,1,6,4]=>[2,3,5,1,6,7,4]=>[5,2,3,7,1,6,4] [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,3,5,1,6,4,7]=>[5,2,3,6,1,4,7]=>[2,3,5,1,6,4,7]=>[5,2,3,6,1,4,7] [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[2,3,5,6,1,7,4]=>[6,2,3,7,5,1,4]=>[2,3,5,6,1,7,4]=>[6,2,3,7,5,1,4] [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,5,6,7,1,4]=>[7,2,3,1,5,6,4]=>[2,3,5,6,7,4,1]=>[4,2,3,7,5,6,1] [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,3,5,6,1,4,7]=>[6,2,3,1,5,4,7]=>[2,3,5,6,4,1,7]=>[4,2,3,6,5,1,7] [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[2,3,5,1,4,7,6]=>[5,2,3,1,4,7,6]=>[2,3,5,4,1,7,6]=>[4,2,3,5,1,7,6] [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[2,3,5,1,7,4,6]=>[5,2,3,7,1,4,6]=>[2,3,5,1,7,6,4]=>[5,2,3,6,1,7,4] [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[2,3,5,7,1,4,6]=>[7,2,3,1,5,4,6]=>[2,3,5,7,6,4,1]=>[4,2,3,6,5,7,1] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,3,5,1,4,6,7]=>[5,2,3,1,4,6,7]=>[2,3,5,4,1,6,7]=>[4,2,3,5,1,6,7] [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[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] [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[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] [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,6,4,7,5]=>[3,2,1,6,7,4,5]=>[2,3,1,6,4,7,5]=>[3,2,1,6,7,4,5] [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,3,1,6,7,4,5]=>[3,2,1,7,4,6,5]=>[2,3,1,6,7,5,4]=>[3,2,1,5,7,6,4] [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,1,6,4,5,7]=>[3,2,1,6,4,5,7]=>[2,3,1,6,5,4,7]=>[3,2,1,5,6,4,7] [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,3,6,1,4,7,5]=>[6,2,3,1,7,4,5]=>[2,3,6,4,1,7,5]=>[4,2,3,6,7,1,5] [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,6,1,7,4,5]=>[6,2,3,7,4,1,5]=>[2,3,6,1,7,5,4]=>[6,2,3,5,7,1,4] [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,6,7,1,4,5]=>[7,2,3,1,4,6,5]=>[2,3,6,7,5,4,1]=>[4,2,3,5,7,6,1] [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,6,1,4,5,7]=>[6,2,3,1,4,5,7]=>[2,3,6,5,4,1,7]=>[4,2,3,5,6,1,7] [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[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] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[2,3,1,4,7,5,6]=>[3,2,1,4,7,5,6]=>[2,3,1,4,7,6,5]=>[3,2,1,4,6,7,5] [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,1,7,4,5,6]=>[3,2,1,7,4,5,6]=>[2,3,1,7,6,5,4]=>[3,2,1,5,6,7,4] [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,7,1,4,5,6]=>[7,2,3,1,4,5,6]=>[2,3,7,6,5,4,1]=>[4,2,3,5,6,7,1] [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[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] [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[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] [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[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] [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[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] [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,4,5,7,3,6]=>[2,1,7,4,5,3,6]=>[2,1,4,5,7,6,3]=>[2,1,6,4,5,7,3] [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[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] [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[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] [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[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] [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,6,3,7,5]=>[2,1,6,4,7,3,5]=>[2,1,4,6,3,7,5]=>[2,1,6,4,7,3,5] [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,6,7,3,5]=>[2,1,7,4,3,6,5]=>[2,1,4,6,7,5,3]=>[2,1,5,4,7,6,3] [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,3,5,7]=>[2,1,6,4,3,5,7]=>[2,1,4,6,5,3,7]=>[2,1,5,4,6,3,7] [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[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] [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,5,6]=>[2,1,4,3,7,5,6]=>[2,1,4,3,7,6,5]=>[2,1,4,3,6,7,5] [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,7,3,5,6]=>[2,1,7,4,3,5,6]=>[2,1,4,7,6,5,3]=>[2,1,5,4,6,7,3] [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[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] [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,4,1,5,6,7,3]=>[4,2,7,1,5,6,3]=>[2,4,1,5,6,7,3]=>[4,2,7,1,5,6,3] [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,4,1,5,6,3,7]=>[4,2,6,1,5,3,7]=>[2,4,1,5,6,3,7]=>[4,2,6,1,5,3,7] [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[2,4,1,5,3,7,6]=>[4,2,5,1,3,7,6]=>[2,4,1,5,3,7,6]=>[4,2,5,1,3,7,6] [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[2,4,1,5,7,3,6]=>[4,2,7,1,5,3,6]=>[2,4,1,5,7,6,3]=>[4,2,6,1,5,7,3] [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,4,1,5,3,6,7]=>[4,2,5,1,3,6,7]=>[2,4,1,5,3,6,7]=>[4,2,5,1,3,6,7] [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,4,5,1,6,7,3]=>[5,2,7,4,1,6,3]=>[2,4,5,1,6,7,3]=>[5,2,7,4,1,6,3] [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,4,5,1,6,3,7]=>[5,2,6,4,1,3,7]=>[2,4,5,1,6,3,7]=>[5,2,6,4,1,3,7] [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,4,5,6,1,7,3]=>[6,2,7,4,5,1,3]=>[2,4,5,6,1,7,3]=>[6,2,7,4,5,1,3] [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,5,6,7,1,3]=>[7,2,1,4,5,6,3]=>[2,4,5,6,7,3,1]=>[3,2,7,4,5,6,1] [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,4,5,6,1,3,7]=>[6,2,1,4,5,3,7]=>[2,4,5,6,3,1,7]=>[3,2,6,4,5,1,7] [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[2,4,5,1,3,7,6]=>[5,2,1,4,3,7,6]=>[2,4,5,3,1,7,6]=>[3,2,5,4,1,7,6] [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[2,4,5,1,7,3,6]=>[5,2,7,4,1,3,6]=>[2,4,5,1,7,6,3]=>[5,2,6,4,1,7,3] [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,4,5,7,1,3,6]=>[7,2,1,4,5,3,6]=>[2,4,5,7,6,3,1]=>[3,2,6,4,5,7,1] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,4,5,1,3,6,7]=>[5,2,1,4,3,6,7]=>[2,4,5,3,1,6,7]=>[3,2,5,4,1,6,7] [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,1,3,6,7,5]=>[4,2,1,3,7,6,5]=>[2,4,3,1,6,7,5]=>[3,2,4,1,7,6,5] [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,6,5,7]=>[4,2,1,3,6,5,7]=>[2,4,3,1,6,5,7]=>[3,2,4,1,6,5,7] [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,1,6,3,7,5]=>[4,2,6,1,7,3,5]=>[2,4,1,6,3,7,5]=>[4,2,6,1,7,3,5] [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,1,6,7,3,5]=>[4,2,7,1,3,6,5]=>[2,4,1,6,7,5,3]=>[4,2,5,1,7,6,3] [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,1,6,3,5,7]=>[4,2,6,1,3,5,7]=>[2,4,1,6,5,3,7]=>[4,2,5,1,6,3,7] [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,4,6,1,3,7,5]=>[6,2,1,4,7,3,5]=>[2,4,6,3,1,7,5]=>[3,2,6,4,7,1,5] [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,6,1,7,3,5]=>[6,2,7,4,3,1,5]=>[2,4,6,1,7,5,3]=>[6,2,5,4,7,1,3] [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,6,7,1,3,5]=>[7,2,1,4,3,6,5]=>[2,4,6,7,5,3,1]=>[3,2,5,4,7,6,1] [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,6,1,3,5,7]=>[6,2,1,4,3,5,7]=>[2,4,6,5,3,1,7]=>[3,2,5,4,6,1,7] [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[2,4,1,3,5,7,6]=>[4,2,1,3,5,7,6]=>[2,4,3,1,5,7,6]=>[3,2,4,1,5,7,6] [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,4,1,3,7,5,6]=>[4,2,1,3,7,5,6]=>[2,4,3,1,7,6,5]=>[3,2,4,1,6,7,5] [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,4,1,7,3,5,6]=>[4,2,7,1,3,5,6]=>[2,4,1,7,6,5,3]=>[4,2,5,1,6,7,3] [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,4,7,1,3,5,6]=>[7,2,1,4,3,5,6]=>[2,4,7,6,5,3,1]=>[3,2,5,4,6,7,1] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4,1,3,5,6,7]=>[4,2,1,3,5,6,7]=>[2,4,3,1,5,6,7]=>[3,2,4,1,5,6,7] [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[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] [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[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] [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[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] [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[2,1,3,5,7,4,6]=>[2,1,3,7,5,4,6]=>[2,1,3,5,7,6,4]=>[2,1,3,6,5,7,4] [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[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] [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[2,1,5,3,6,7,4]=>[2,1,5,7,3,6,4]=>[2,1,5,3,6,7,4]=>[2,1,5,7,3,6,4] [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,3,6,4,7]=>[2,1,5,6,3,4,7]=>[2,1,5,3,6,4,7]=>[2,1,5,6,3,4,7] [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,5,6,3,7,4]=>[2,1,6,7,5,3,4]=>[2,1,5,6,3,7,4]=>[2,1,6,7,5,3,4] [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,5,6,7,3,4]=>[2,1,7,3,5,6,4]=>[2,1,5,6,7,4,3]=>[2,1,4,7,5,6,3] [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,1,5,6,3,4,7]=>[2,1,6,3,5,4,7]=>[2,1,5,6,4,3,7]=>[2,1,4,6,5,3,7] [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,5,3,4,7,6]=>[2,1,5,3,4,7,6]=>[2,1,5,4,3,7,6]=>[2,1,4,5,3,7,6] [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,3,7,4,6]=>[2,1,5,7,3,4,6]=>[2,1,5,3,7,6,4]=>[2,1,5,6,3,7,4] [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,1,5,7,3,4,6]=>[2,1,7,3,5,4,6]=>[2,1,5,7,6,4,3]=>[2,1,4,6,5,7,3] [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,5,3,4,6,7]=>[2,1,5,3,4,6,7]=>[2,1,5,4,3,6,7]=>[2,1,4,5,3,6,7] [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,5,1,3,6,7,4]=>[5,2,1,7,3,6,4]=>[2,5,3,1,6,7,4]=>[3,2,5,7,1,6,4] [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,5,1,3,6,4,7]=>[5,2,1,6,3,4,7]=>[2,5,3,1,6,4,7]=>[3,2,5,6,1,4,7] [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,5,1,6,3,7,4]=>[5,2,6,7,1,3,4]=>[2,5,1,6,3,7,4]=>[5,2,6,7,1,3,4] [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,5,1,6,7,3,4]=>[5,2,7,3,1,6,4]=>[2,5,1,6,7,4,3]=>[5,2,4,7,1,6,3] [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,5,1,6,3,4,7]=>[5,2,6,3,1,4,7]=>[2,5,1,6,4,3,7]=>[5,2,4,6,1,3,7] [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,5,6,1,3,7,4]=>[6,2,1,7,5,3,4]=>[2,5,6,3,1,7,4]=>[3,2,6,7,5,1,4] [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,5,6,1,7,3,4]=>[6,2,7,3,5,1,4]=>[2,5,6,1,7,4,3]=>[6,2,4,7,5,1,3] [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,5,6,7,1,3,4]=>[7,2,1,3,5,6,4]=>[2,5,6,7,4,3,1]=>[3,2,4,7,5,6,1] [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,5,6,1,3,4,7]=>[6,2,1,3,5,4,7]=>[2,5,6,4,3,1,7]=>[3,2,4,6,5,1,7] [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[2,5,1,3,4,7,6]=>[5,2,1,3,4,7,6]=>[2,5,4,3,1,7,6]=>[3,2,4,5,1,7,6] [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,5,1,3,7,4,6]=>[5,2,1,7,3,4,6]=>[2,5,3,1,7,6,4]=>[3,2,5,6,1,7,4] [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,5,1,7,3,4,6]=>[5,2,7,3,1,4,6]=>[2,5,1,7,6,4,3]=>[5,2,4,6,1,7,3] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,5,7,1,3,4,6]=>[7,2,1,3,5,4,6]=>[2,5,7,6,4,3,1]=>[3,2,4,6,5,7,1] [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,5,1,3,4,6,7]=>[5,2,1,3,4,6,7]=>[2,5,4,3,1,6,7]=>[3,2,4,5,1,6,7] [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[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] [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[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] [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,3,6,4,7,5]=>[2,1,3,6,7,4,5]=>[2,1,3,6,4,7,5]=>[2,1,3,6,7,4,5] [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,3,6,7,4,5]=>[2,1,3,7,4,6,5]=>[2,1,3,6,7,5,4]=>[2,1,3,5,7,6,4] [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,3,6,4,5,7]=>[2,1,3,6,4,5,7]=>[2,1,3,6,5,4,7]=>[2,1,3,5,6,4,7] [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[2,1,6,3,4,7,5]=>[2,1,6,3,7,4,5]=>[2,1,6,4,3,7,5]=>[2,1,4,6,7,3,5] [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,6,3,7,4,5]=>[2,1,6,7,4,3,5]=>[2,1,6,3,7,5,4]=>[2,1,6,5,7,3,4] [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,6,7,3,4,5]=>[2,1,7,3,4,6,5]=>[2,1,6,7,5,4,3]=>[2,1,4,5,7,6,3] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7]=>[2,1,6,5,4,3,7]=>[2,1,4,5,6,3,7] [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[2,6,1,3,4,7,5]=>[6,2,1,3,7,4,5]=>[2,6,4,3,1,7,5]=>[3,2,4,6,7,1,5] [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,6,1,3,7,4,5]=>[6,2,1,7,4,3,5]=>[2,6,3,1,7,5,4]=>[3,2,6,5,7,1,4] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,6,1,7,3,4,5]=>[6,2,7,3,4,1,5]=>[2,6,1,7,5,4,3]=>[6,2,4,5,7,1,3] [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,6,7,1,3,4,5]=>[7,2,1,3,4,6,5]=>[2,6,7,5,4,3,1]=>[3,2,4,5,7,6,1] [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,6,1,3,4,5,7]=>[6,2,1,3,4,5,7]=>[2,6,5,4,3,1,7]=>[3,2,4,5,6,1,7] [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[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] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,3,4,7,5,6]=>[2,1,3,4,7,5,6]=>[2,1,3,4,7,6,5]=>[2,1,3,4,6,7,5] [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,3,7,4,5,6]=>[2,1,3,7,4,5,6]=>[2,1,3,7,6,5,4]=>[2,1,3,5,6,7,4] [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,7,3,4,5,6]=>[2,1,7,3,4,5,6]=>[2,1,7,6,5,4,3]=>[2,1,4,5,6,7,3] [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,7,1,3,4,5,6]=>[7,2,1,3,4,5,6]=>[2,7,6,5,4,3,1]=>[3,2,4,5,6,7,1] [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[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] [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[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] [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[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] [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[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] [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[1,3,4,5,7,6,2]=>[1,6,3,4,5,7,2] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[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] [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[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] [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[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] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5] [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[1,3,4,6,7,5,2]=>[1,5,3,4,7,6,2] [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[1,3,4,6,5,2,7]=>[1,5,3,4,6,2,7] [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[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] [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[1,3,4,2,7,6,5]=>[1,4,3,2,6,7,5] [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[1,3,4,7,6,5,2]=>[1,5,3,4,6,7,2] [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[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] [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[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] [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[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] [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[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] [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[1,3,2,5,7,6,4]=>[1,3,2,6,5,7,4] [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[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] [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4] [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7] [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4] [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[1,3,5,6,7,4,2]=>[1,4,3,7,5,6,2] [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[1,3,5,6,4,2,7]=>[1,4,3,6,5,2,7] [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[1,3,5,4,2,7,6]=>[1,4,3,5,2,7,6] [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[1,3,5,2,7,6,4]=>[1,5,3,6,2,7,4] [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[1,3,5,7,6,4,2]=>[1,4,3,6,5,7,2] [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[1,3,5,4,2,6,7]=>[1,4,3,5,2,6,7] [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[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] [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[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] [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,5,4]=>[1,3,2,5,7,6,4] [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7] [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[1,3,6,4,2,7,5]=>[1,4,3,6,7,2,5] [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[1,3,6,2,7,5,4]=>[1,6,3,5,7,2,4] [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[1,3,6,7,5,4,2]=>[1,4,3,5,7,6,2] [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[1,3,6,5,4,2,7]=>[1,4,3,5,6,2,7] [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[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] [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5] [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[1,3,2,7,6,5,4]=>[1,3,2,5,6,7,4] [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[1,3,7,6,5,4,2]=>[1,4,3,5,6,7,2] [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[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] [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,4,5,6,7,2]=>[3,7,1,4,5,6,2]=>[3,1,4,5,6,7,2]=>[3,7,1,4,5,6,2] [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,1,4,5,6,2,7]=>[3,6,1,4,5,2,7]=>[3,1,4,5,6,2,7]=>[3,6,1,4,5,2,7] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,4,5,2,7,6]=>[3,5,1,4,2,7,6]=>[3,1,4,5,2,7,6]=>[3,5,1,4,2,7,6] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,1,4,5,7,2,6]=>[3,7,1,4,5,2,6]=>[3,1,4,5,7,6,2]=>[3,6,1,4,5,7,2] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,1,4,5,2,6,7]=>[3,5,1,4,2,6,7]=>[3,1,4,5,2,6,7]=>[3,5,1,4,2,6,7] [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,6,7,5]=>[3,4,1,2,7,6,5]=>[3,1,4,2,6,7,5]=>[3,4,1,2,7,6,5] [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,4,2,6,5,7]=>[3,4,1,2,6,5,7]=>[3,1,4,2,6,5,7]=>[3,4,1,2,6,5,7] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,4,6,2,7,5]=>[3,6,1,4,7,2,5]=>[3,1,4,6,2,7,5]=>[3,6,1,4,7,2,5] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,1,4,6,7,2,5]=>[3,7,1,4,2,6,5]=>[3,1,4,6,7,5,2]=>[3,5,1,4,7,6,2] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,1,4,6,2,5,7]=>[3,6,1,4,2,5,7]=>[3,1,4,6,5,2,7]=>[3,5,1,4,6,2,7] [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,4,2,5,7,6]=>[3,4,1,2,5,7,6]=>[3,1,4,2,5,7,6]=>[3,4,1,2,5,7,6] [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,1,4,2,7,5,6]=>[3,4,1,2,7,5,6]=>[3,1,4,2,7,6,5]=>[3,4,1,2,6,7,5] [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,1,4,7,2,5,6]=>[3,7,1,4,2,5,6]=>[3,1,4,7,6,5,2]=>[3,5,1,4,6,7,2] [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,4,2,5,6,7]=>[3,4,1,2,5,6,7]=>[3,1,4,2,5,6,7]=>[3,4,1,2,5,6,7] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,4,1,5,6,7,2]=>[4,7,3,1,5,6,2]=>[3,4,1,5,6,7,2]=>[4,7,3,1,5,6,2] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[3,4,1,5,6,2,7]=>[4,6,3,1,5,2,7]=>[3,4,1,5,6,2,7]=>[4,6,3,1,5,2,7] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[3,4,1,5,2,7,6]=>[4,5,3,1,2,7,6]=>[3,4,1,5,2,7,6]=>[4,5,3,1,2,7,6] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[3,4,1,5,7,2,6]=>[4,7,3,1,5,2,6]=>[3,4,1,5,7,6,2]=>[4,6,3,1,5,7,2] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,4,1,5,2,6,7]=>[4,5,3,1,2,6,7]=>[3,4,1,5,2,6,7]=>[4,5,3,1,2,6,7] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,4,5,1,6,7,2]=>[5,7,3,4,1,6,2]=>[3,4,5,1,6,7,2]=>[5,7,3,4,1,6,2] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,4,5,1,6,2,7]=>[5,6,3,4,1,2,7]=>[3,4,5,1,6,2,7]=>[5,6,3,4,1,2,7] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,4,5,6,1,7,2]=>[6,7,3,4,5,1,2]=>[3,4,5,6,1,7,2]=>[6,7,3,4,5,1,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,5,6,7,1,2]=>[7,1,3,4,5,6,2]=>[3,4,5,6,7,2,1]=>[2,7,3,4,5,6,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,4,5,6,1,2,7]=>[6,1,3,4,5,2,7]=>[3,4,5,6,2,1,7]=>[2,6,3,4,5,1,7] [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,4,5,1,2,7,6]=>[5,1,3,4,2,7,6]=>[3,4,5,2,1,7,6]=>[2,5,3,4,1,7,6] [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,4,5,1,7,2,6]=>[5,7,3,4,1,2,6]=>[3,4,5,1,7,6,2]=>[5,6,3,4,1,7,2] [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,4,5,7,1,2,6]=>[7,1,3,4,5,2,6]=>[3,4,5,7,6,2,1]=>[2,6,3,4,5,7,1] [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,4,5,1,2,6,7]=>[5,1,3,4,2,6,7]=>[3,4,5,2,1,6,7]=>[2,5,3,4,1,6,7] [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[3,4,1,2,6,7,5]=>[4,1,3,2,7,6,5]=>[3,4,2,1,6,7,5]=>[2,4,3,1,7,6,5] [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,4,1,2,6,5,7]=>[4,1,3,2,6,5,7]=>[3,4,2,1,6,5,7]=>[2,4,3,1,6,5,7] [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[3,4,1,6,2,7,5]=>[4,6,3,1,7,2,5]=>[3,4,1,6,2,7,5]=>[4,6,3,1,7,2,5] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[3,4,1,6,7,2,5]=>[4,7,3,1,2,6,5]=>[3,4,1,6,7,5,2]=>[4,5,3,1,7,6,2] [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,4,1,6,2,5,7]=>[4,6,3,1,2,5,7]=>[3,4,1,6,5,2,7]=>[4,5,3,1,6,2,7] [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,4,6,1,2,7,5]=>[6,1,3,4,7,2,5]=>[3,4,6,2,1,7,5]=>[2,6,3,4,7,1,5] [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[3,4,6,1,7,2,5]=>[6,7,3,4,2,1,5]=>[3,4,6,1,7,5,2]=>[6,5,3,4,7,1,2] [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[3,4,6,7,1,2,5]=>[7,1,3,4,2,6,5]=>[3,4,6,7,5,2,1]=>[2,5,3,4,7,6,1] [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[3,4,6,1,2,5,7]=>[6,1,3,4,2,5,7]=>[3,4,6,5,2,1,7]=>[2,5,3,4,6,1,7] [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[3,4,1,2,5,7,6]=>[4,1,3,2,5,7,6]=>[3,4,2,1,5,7,6]=>[2,4,3,1,5,7,6] [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,4,1,2,7,5,6]=>[4,1,3,2,7,5,6]=>[3,4,2,1,7,6,5]=>[2,4,3,1,6,7,5] [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[3,4,1,7,2,5,6]=>[4,7,3,1,2,5,6]=>[3,4,1,7,6,5,2]=>[4,5,3,1,6,7,2] [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,4,7,1,2,5,6]=>[7,1,3,4,2,5,6]=>[3,4,7,6,5,2,1]=>[2,5,3,4,6,7,1] [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]=>[3,4,2,1,5,6,7]=>[2,4,3,1,5,6,7] [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,2,5,6,7,4]=>[3,1,2,7,5,6,4]=>[3,2,1,5,6,7,4]=>[2,3,1,7,5,6,4] [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,1,2,5,6,4,7]=>[3,1,2,6,5,4,7]=>[3,2,1,5,6,4,7]=>[2,3,1,6,5,4,7] [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,2,5,4,7,6]=>[3,1,2,5,4,7,6]=>[3,2,1,5,4,7,6]=>[2,3,1,5,4,7,6] [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,1,2,5,7,4,6]=>[3,1,2,7,5,4,6]=>[3,2,1,5,7,6,4]=>[2,3,1,6,5,7,4] [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,1,2,5,4,6,7]=>[3,1,2,5,4,6,7]=>[3,2,1,5,4,6,7]=>[2,3,1,5,4,6,7] [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,5,2,6,7,4]=>[3,5,1,7,2,6,4]=>[3,1,5,2,6,7,4]=>[3,5,1,7,2,6,4] [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,5,2,6,4,7]=>[3,5,1,6,2,4,7]=>[3,1,5,2,6,4,7]=>[3,5,1,6,2,4,7] [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,5,6,2,7,4]=>[3,6,1,7,5,2,4]=>[3,1,5,6,2,7,4]=>[3,6,1,7,5,2,4] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,1,5,6,7,2,4]=>[3,7,1,2,5,6,4]=>[3,1,5,6,7,4,2]=>[3,4,1,7,5,6,2] [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[3,1,5,6,2,4,7]=>[3,6,1,2,5,4,7]=>[3,1,5,6,4,2,7]=>[3,4,1,6,5,2,7] [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,5,2,4,7,6]=>[3,5,1,2,4,7,6]=>[3,1,5,4,2,7,6]=>[3,4,1,5,2,7,6] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,1,5,2,7,4,6]=>[3,5,1,7,2,4,6]=>[3,1,5,2,7,6,4]=>[3,5,1,6,2,7,4] [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,1,5,7,2,4,6]=>[3,7,1,2,5,4,6]=>[3,1,5,7,6,4,2]=>[3,4,1,6,5,7,2] [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,1,5,2,4,6,7]=>[3,5,1,2,4,6,7]=>[3,1,5,4,2,6,7]=>[3,4,1,5,2,6,7] [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,5,1,2,6,7,4]=>[5,1,3,7,2,6,4]=>[3,5,2,1,6,7,4]=>[2,5,3,7,1,6,4] [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,5,1,2,6,4,7]=>[5,1,3,6,2,4,7]=>[3,5,2,1,6,4,7]=>[2,5,3,6,1,4,7] [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[3,5,1,6,2,7,4]=>[5,6,3,7,1,2,4]=>[3,5,1,6,2,7,4]=>[5,6,3,7,1,2,4] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[3,5,1,6,7,2,4]=>[5,7,3,2,1,6,4]=>[3,5,1,6,7,4,2]=>[5,4,3,7,1,6,2] [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[3,5,1,6,2,4,7]=>[5,6,3,2,1,4,7]=>[3,5,1,6,4,2,7]=>[5,4,3,6,1,2,7] [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,5,6,1,2,7,4]=>[6,1,3,7,5,2,4]=>[3,5,6,2,1,7,4]=>[2,6,3,7,5,1,4] [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[3,5,6,1,7,2,4]=>[6,7,3,2,5,1,4]=>[3,5,6,1,7,4,2]=>[6,4,3,7,5,1,2] [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,5,6,7,1,2,4]=>[7,1,3,2,5,6,4]=>[3,5,6,7,4,2,1]=>[2,4,3,7,5,6,1] [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[3,5,6,1,2,4,7]=>[6,1,3,2,5,4,7]=>[3,5,6,4,2,1,7]=>[2,4,3,6,5,1,7] [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,5,1,2,4,7,6]=>[5,1,3,2,4,7,6]=>[3,5,4,2,1,7,6]=>[2,4,3,5,1,7,6] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,5,1,2,7,4,6]=>[5,1,3,7,2,4,6]=>[3,5,2,1,7,6,4]=>[2,5,3,6,1,7,4] [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,5,1,7,2,4,6]=>[5,7,3,2,1,4,6]=>[3,5,1,7,6,4,2]=>[5,4,3,6,1,7,2] [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[3,5,7,1,2,4,6]=>[7,1,3,2,5,4,6]=>[3,5,7,6,4,2,1]=>[2,4,3,6,5,7,1] [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,5,1,2,4,6,7]=>[5,1,3,2,4,6,7]=>[3,5,4,2,1,6,7]=>[2,4,3,5,1,6,7] [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,1,2,4,6,7,5]=>[3,1,2,4,7,6,5]=>[3,2,1,4,6,7,5]=>[2,3,1,4,7,6,5] [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,1,2,4,6,5,7]=>[3,1,2,4,6,5,7]=>[3,2,1,4,6,5,7]=>[2,3,1,4,6,5,7] [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,1,2,6,4,7,5]=>[3,1,2,6,7,4,5]=>[3,2,1,6,4,7,5]=>[2,3,1,6,7,4,5] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[3,1,2,6,7,4,5]=>[3,1,2,7,4,6,5]=>[3,2,1,6,7,5,4]=>[2,3,1,5,7,6,4] [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,1,2,6,4,5,7]=>[3,1,2,6,4,5,7]=>[3,2,1,6,5,4,7]=>[2,3,1,5,6,4,7] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,1,6,2,4,7,5]=>[3,6,1,2,7,4,5]=>[3,1,6,4,2,7,5]=>[3,4,1,6,7,2,5] [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,1,6,2,7,4,5]=>[3,6,1,7,4,2,5]=>[3,1,6,2,7,5,4]=>[3,6,1,5,7,2,4] [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,1,6,7,2,4,5]=>[3,7,1,2,4,6,5]=>[3,1,6,7,5,4,2]=>[3,4,1,5,7,6,2] [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,1,6,2,4,5,7]=>[3,6,1,2,4,5,7]=>[3,1,6,5,4,2,7]=>[3,4,1,5,6,2,7] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,6,1,2,4,7,5]=>[6,1,3,2,7,4,5]=>[3,6,4,2,1,7,5]=>[2,4,3,6,7,1,5] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,6,1,2,7,4,5]=>[6,1,3,7,4,2,5]=>[3,6,2,1,7,5,4]=>[2,6,3,5,7,1,4] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,6,1,7,2,4,5]=>[6,7,3,2,4,1,5]=>[3,6,1,7,5,4,2]=>[6,4,3,5,7,1,2] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,6,7,1,2,4,5]=>[7,1,3,2,4,6,5]=>[3,6,7,5,4,2,1]=>[2,4,3,5,7,6,1] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,6,1,2,4,5,7]=>[6,1,3,2,4,5,7]=>[3,6,5,4,2,1,7]=>[2,4,3,5,6,1,7] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,1,2,4,5,7,6]=>[3,1,2,4,5,7,6]=>[3,2,1,4,5,7,6]=>[2,3,1,4,5,7,6] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,1,2,4,7,5,6]=>[3,1,2,4,7,5,6]=>[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,1,2,7,4,5,6]=>[3,1,2,7,4,5,6]=>[3,2,1,7,6,5,4]=>[2,3,1,5,6,7,4] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,7,2,4,5,6]=>[3,7,1,2,4,5,6]=>[3,1,7,6,5,4,2]=>[3,4,1,5,6,7,2] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,7,1,2,4,5,6]=>[7,1,3,2,4,5,6]=>[3,7,6,5,4,2,1]=>[2,4,3,5,6,7,1] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[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] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[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] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[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] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[1,2,4,5,7,6,3]=>[1,2,6,4,5,7,3] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[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] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[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] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[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] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[1,2,4,6,7,5,3]=>[1,2,5,4,7,6,3] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[1,2,4,6,5,3,7]=>[1,2,5,4,6,3,7] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[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] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[1,2,4,7,6,5,3]=>[1,2,5,4,6,7,3] [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[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] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[1,4,2,5,7,6,3]=>[1,4,6,2,5,7,3] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>[1,4,5,6,7,3,2]=>[1,3,7,4,5,6,2] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[1,4,5,6,3,2,7]=>[1,3,6,4,5,2,7] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[1,4,5,3,2,7,6]=>[1,3,5,4,2,7,6] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[1,4,5,2,7,6,3]=>[1,5,6,4,2,7,3] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[1,4,5,7,6,3,2]=>[1,3,6,4,5,7,2] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[1,4,5,3,2,6,7]=>[1,3,5,4,2,6,7] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[1,4,3,2,6,7,5]=>[1,3,4,2,7,6,5] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[1,4,2,6,7,5,3]=>[1,4,5,2,7,6,3] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[1,4,2,6,5,3,7]=>[1,4,5,2,6,3,7] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[1,4,6,3,2,7,5]=>[1,3,6,4,7,2,5] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[1,4,6,2,7,5,3]=>[1,6,5,4,7,2,3] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[1,4,6,7,5,3,2]=>[1,3,5,4,7,6,2] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[1,4,6,5,3,2,7]=>[1,3,5,4,6,2,7] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[1,4,2,7,6,5,3]=>[1,4,5,2,6,7,3] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[1,4,7,6,5,3,2]=>[1,3,5,4,6,7,2] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[4,1,2,5,6,7,3]=>[4,1,7,2,5,6,3]=>[4,2,1,5,6,7,3]=>[2,4,7,1,5,6,3] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,1,2,5,6,3,7]=>[4,1,6,2,5,3,7]=>[4,2,1,5,6,3,7]=>[2,4,6,1,5,3,7] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,1,2,5,3,7,6]=>[4,1,5,2,3,7,6]=>[4,2,1,5,3,7,6]=>[2,4,5,1,3,7,6] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,1,2,5,7,3,6]=>[4,1,7,2,5,3,6]=>[4,2,1,5,7,6,3]=>[2,4,6,1,5,7,3] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,1,2,5,3,6,7]=>[4,1,5,2,3,6,7]=>[4,2,1,5,3,6,7]=>[2,4,5,1,3,6,7] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,5,2,6,7,3]=>[4,5,7,1,2,6,3]=>[4,1,5,2,6,7,3]=>[4,5,7,1,2,6,3] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[4,1,5,2,6,3,7]=>[4,5,6,1,2,3,7]=>[4,1,5,2,6,3,7]=>[4,5,6,1,2,3,7] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[4,1,5,6,2,7,3]=>[4,6,7,1,5,2,3]=>[4,1,5,6,2,7,3]=>[4,6,7,1,5,2,3] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[4,1,5,6,7,2,3]=>[4,7,2,1,5,6,3]=>[4,1,5,6,7,3,2]=>[4,3,7,1,5,6,2] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[4,1,5,6,2,3,7]=>[4,6,2,1,5,3,7]=>[4,1,5,6,3,2,7]=>[4,3,6,1,5,2,7] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[4,1,5,2,3,7,6]=>[4,5,2,1,3,7,6]=>[4,1,5,3,2,7,6]=>[4,3,5,1,2,7,6] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,5,2,7,3,6]=>[4,5,7,1,2,3,6]=>[4,1,5,2,7,6,3]=>[4,5,6,1,2,7,3] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[4,1,5,7,2,3,6]=>[4,7,2,1,5,3,6]=>[4,1,5,7,6,3,2]=>[4,3,6,1,5,7,2] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,5,2,3,6,7]=>[4,5,2,1,3,6,7]=>[4,1,5,3,2,6,7]=>[4,3,5,1,2,6,7] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[4,5,1,2,6,7,3]=>[5,1,7,4,2,6,3]=>[4,5,2,1,6,7,3]=>[2,5,7,4,1,6,3] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[4,5,1,2,6,3,7]=>[5,1,6,4,2,3,7]=>[4,5,2,1,6,3,7]=>[2,5,6,4,1,3,7] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[4,5,1,6,2,7,3]=>[5,6,7,4,1,2,3]=>[4,5,1,6,2,7,3]=>[5,6,7,4,1,2,3] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[4,5,1,6,7,2,3]=>[5,7,2,4,1,6,3]=>[4,5,1,6,7,3,2]=>[5,3,7,4,1,6,2] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[4,5,1,6,2,3,7]=>[5,6,2,4,1,3,7]=>[4,5,1,6,3,2,7]=>[5,3,6,4,1,2,7] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,5,6,1,2,7,3]=>[6,1,7,4,5,2,3]=>[4,5,6,2,1,7,3]=>[2,6,7,4,5,1,3] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[4,5,6,1,7,2,3]=>[6,7,2,4,5,1,3]=>[4,5,6,1,7,3,2]=>[6,3,7,4,5,1,2] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[4,5,6,7,1,2,3]=>[7,1,2,4,5,6,3]=>[4,5,6,7,3,2,1]=>[2,3,7,4,5,6,1] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]=>[4,5,6,3,2,1,7]=>[2,3,6,4,5,1,7] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[4,5,1,2,3,7,6]=>[5,1,2,4,3,7,6]=>[4,5,3,2,1,7,6]=>[2,3,5,4,1,7,6] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[4,5,1,2,7,3,6]=>[5,1,7,4,2,3,6]=>[4,5,2,1,7,6,3]=>[2,5,6,4,1,7,3] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[4,5,1,7,2,3,6]=>[5,7,2,4,1,3,6]=>[4,5,1,7,6,3,2]=>[5,3,6,4,1,7,2] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[4,5,7,1,2,3,6]=>[7,1,2,4,5,3,6]=>[4,5,7,6,3,2,1]=>[2,3,6,4,5,7,1] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]=>[4,5,3,2,1,6,7]=>[2,3,5,4,1,6,7] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[4,1,2,3,6,7,5]=>[4,1,2,3,7,6,5]=>[4,3,2,1,6,7,5]=>[2,3,4,1,7,6,5] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[4,1,2,3,6,5,7]=>[4,1,2,3,6,5,7]=>[4,3,2,1,6,5,7]=>[2,3,4,1,6,5,7] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,6,3,7,5]=>[4,1,6,2,7,3,5]=>[4,2,1,6,3,7,5]=>[2,4,6,1,7,3,5] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[4,1,2,6,7,3,5]=>[4,1,7,2,3,6,5]=>[4,2,1,6,7,5,3]=>[2,4,5,1,7,6,3] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[4,1,2,6,3,5,7]=>[4,1,6,2,3,5,7]=>[4,2,1,6,5,3,7]=>[2,4,5,1,6,3,7] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[4,1,6,2,3,7,5]=>[4,6,2,1,7,3,5]=>[4,1,6,3,2,7,5]=>[4,3,6,1,7,2,5] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[4,1,6,2,7,3,5]=>[4,6,7,1,3,2,5]=>[4,1,6,2,7,5,3]=>[4,6,5,1,7,2,3] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[4,1,6,7,2,3,5]=>[4,7,2,1,3,6,5]=>[4,1,6,7,5,3,2]=>[4,3,5,1,7,6,2] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[4,1,6,2,3,5,7]=>[4,6,2,1,3,5,7]=>[4,1,6,5,3,2,7]=>[4,3,5,1,6,2,7] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[4,6,1,2,3,7,5]=>[6,1,2,4,7,3,5]=>[4,6,3,2,1,7,5]=>[2,3,6,4,7,1,5] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[4,6,1,2,7,3,5]=>[6,1,7,4,3,2,5]=>[4,6,2,1,7,5,3]=>[2,6,5,4,7,1,3] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[4,6,1,7,2,3,5]=>[6,7,2,4,3,1,5]=>[4,6,1,7,5,3,2]=>[6,3,5,4,7,1,2] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[4,6,7,1,2,3,5]=>[7,1,2,4,3,6,5]=>[4,6,7,5,3,2,1]=>[2,3,5,4,7,6,1] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[4,6,1,2,3,5,7]=>[6,1,2,4,3,5,7]=>[4,6,5,3,2,1,7]=>[2,3,5,4,6,1,7] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[4,1,2,3,5,7,6]=>[4,1,2,3,5,7,6]=>[4,3,2,1,5,7,6]=>[2,3,4,1,5,7,6] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[4,1,2,3,7,5,6]=>[4,1,2,3,7,5,6]=>[4,3,2,1,7,6,5]=>[2,3,4,1,6,7,5] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,2,7,3,5,6]=>[4,1,7,2,3,5,6]=>[4,2,1,7,6,5,3]=>[2,4,5,1,6,7,3] [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[4,1,7,2,3,5,6]=>[4,7,2,1,3,5,6]=>[4,1,7,6,5,3,2]=>[4,3,5,1,6,7,2] [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[4,7,1,2,3,5,6]=>[7,1,2,4,3,5,6]=>[4,7,6,5,3,2,1]=>[2,3,5,4,6,7,1] [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7] [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[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] [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[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] [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[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] [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4] [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[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] [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4] [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7] [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[1,2,5,6,7,4,3]=>[1,2,4,7,5,6,3] [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[1,2,5,6,4,3,7]=>[1,2,4,6,5,3,7] [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[1,2,5,3,7,6,4]=>[1,2,5,6,3,7,4] [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[1,2,5,7,6,4,3]=>[1,2,4,6,5,7,3] [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7] [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[1,5,3,2,6,7,4]=>[1,3,5,7,2,6,4] [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[1,5,3,2,6,4,7]=>[1,3,5,6,2,4,7] [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[1,5,2,6,7,4,3]=>[1,5,4,7,2,6,3] [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[1,5,2,6,4,3,7]=>[1,5,4,6,2,3,7] [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[1,5,6,3,2,7,4]=>[1,3,6,7,5,2,4] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[1,5,6,2,7,4,3]=>[1,6,4,7,5,2,3] [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[1,5,6,7,4,3,2]=>[1,3,4,7,5,6,2] [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[1,5,6,4,3,2,7]=>[1,3,4,6,5,2,7] [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[1,5,4,3,2,7,6]=>[1,3,4,5,2,7,6] [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[1,5,3,2,7,6,4]=>[1,3,5,6,2,7,4] [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[1,5,2,7,6,4,3]=>[1,5,4,6,2,7,3] [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[1,5,7,6,4,3,2]=>[1,3,4,6,5,7,2] [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7] [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[5,1,2,3,6,7,4]=>[5,1,2,7,3,6,4]=>[5,3,2,1,6,7,4]=>[2,3,5,7,1,6,4] [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,1,2,3,6,4,7]=>[5,1,2,6,3,4,7]=>[5,3,2,1,6,4,7]=>[2,3,5,6,1,4,7] [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[5,1,2,6,3,7,4]=>[5,1,6,7,2,3,4]=>[5,2,1,6,3,7,4]=>[2,5,6,7,1,3,4] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[5,1,2,6,7,3,4]=>[5,1,7,3,2,6,4]=>[5,2,1,6,7,4,3]=>[2,5,4,7,1,6,3] [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[5,1,2,6,3,4,7]=>[5,1,6,3,2,4,7]=>[5,2,1,6,4,3,7]=>[2,5,4,6,1,3,7] [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[5,1,6,2,3,7,4]=>[5,6,2,7,1,3,4]=>[5,1,6,3,2,7,4]=>[5,3,6,7,1,2,4] [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[5,1,6,2,7,3,4]=>[5,6,7,3,1,2,4]=>[5,1,6,2,7,4,3]=>[5,6,4,7,1,2,3] [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[5,1,6,7,2,3,4]=>[5,7,2,3,1,6,4]=>[5,1,6,7,4,3,2]=>[5,3,4,7,1,6,2] [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[5,1,6,2,3,4,7]=>[5,6,2,3,1,4,7]=>[5,1,6,4,3,2,7]=>[5,3,4,6,1,2,7] [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[5,6,1,2,3,7,4]=>[6,1,2,7,5,3,4]=>[5,6,3,2,1,7,4]=>[2,3,6,7,5,1,4] [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[5,6,1,2,7,3,4]=>[6,1,7,3,5,2,4]=>[5,6,2,1,7,4,3]=>[2,6,4,7,5,1,3] [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[5,6,1,7,2,3,4]=>[6,7,2,3,5,1,4]=>[5,6,1,7,4,3,2]=>[6,3,4,7,5,1,2] [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]=>[5,6,7,4,3,2,1]=>[2,3,4,7,5,6,1] [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]=>[5,6,4,3,2,1,7]=>[2,3,4,6,5,1,7] [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,7,6]=>[5,1,2,3,4,7,6]=>[5,4,3,2,1,7,6]=>[2,3,4,5,1,7,6] [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,2,3,7,4,6]=>[5,1,2,7,3,4,6]=>[5,3,2,1,7,6,4]=>[2,3,5,6,1,7,4] [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[5,1,2,7,3,4,6]=>[5,1,7,3,2,4,6]=>[5,2,1,7,6,4,3]=>[2,5,4,6,1,7,3] [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[5,1,7,2,3,4,6]=>[5,7,2,3,1,4,6]=>[5,1,7,6,4,3,2]=>[5,3,4,6,1,7,2] [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[5,7,1,2,3,4,6]=>[7,1,2,3,5,4,6]=>[5,7,6,4,3,2,1]=>[2,3,4,6,5,7,1] [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7] [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[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] [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[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] [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5] [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4] [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7] [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[1,2,6,4,3,7,5]=>[1,2,4,6,7,3,5] [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[1,2,6,3,7,5,4]=>[1,2,6,5,7,3,4] [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[1,2,6,7,5,4,3]=>[1,2,4,5,7,6,3] [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7] [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[1,6,4,3,2,7,5]=>[1,3,4,6,7,2,5] [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[1,6,3,2,7,5,4]=>[1,3,6,5,7,2,4] [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[1,6,2,7,5,4,3]=>[1,6,4,5,7,2,3] [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[1,6,7,5,4,3,2]=>[1,3,4,5,7,6,2] [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>[1,3,4,5,6,2,7] [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,7,5]=>[6,1,2,3,7,4,5]=>[6,4,3,2,1,7,5]=>[2,3,4,6,7,1,5] [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[6,1,2,3,7,4,5]=>[6,1,2,7,4,3,5]=>[6,3,2,1,7,5,4]=>[2,3,6,5,7,1,4] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[6,1,2,7,3,4,5]=>[6,1,7,3,4,2,5]=>[6,2,1,7,5,4,3]=>[2,6,4,5,7,1,3] [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[6,1,7,2,3,4,5]=>[6,7,2,3,4,1,5]=>[6,1,7,5,4,3,2]=>[6,3,4,5,7,1,2] [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]=>[6,7,5,4,3,2,1]=>[2,3,4,5,7,6,1] [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7] [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[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] [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5] [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4] [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>[1,2,4,5,6,7,3] [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[1,3,4,5,6,7,2] [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[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] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[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] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[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] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,4,5,6,8,1,7]=>[8,2,3,4,5,6,1,7]=>[2,3,4,5,6,8,7,1]=>[7,2,3,4,5,6,8,1] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[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] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[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] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[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] [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,4,5,7,1,8,6]=>[7,2,3,4,5,8,1,6]=>[2,3,4,5,7,1,8,6]=>[7,2,3,4,5,8,1,6] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,4,5,7,8,1,6]=>[8,2,3,4,5,1,7,6]=>[2,3,4,5,7,8,6,1]=>[6,2,3,4,5,8,7,1] [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[2,3,4,5,7,1,6,8]=>[7,2,3,4,5,1,6,8]=>[2,3,4,5,7,6,1,8]=>[6,2,3,4,5,7,1,8] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[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] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,4,5,1,8,6,7]=>[5,2,3,4,1,8,6,7]=>[2,3,4,5,1,8,7,6]=>[5,2,3,4,1,7,8,6] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,4,5,8,1,6,7]=>[8,2,3,4,5,1,6,7]=>[2,3,4,5,8,7,6,1]=>[6,2,3,4,5,7,8,1] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[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] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[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] [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[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] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[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] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,8,5,7]=>[4,2,3,1,8,6,5,7]=>[2,3,4,1,6,8,7,5]=>[4,2,3,1,7,6,8,5] [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[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] [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[2,3,4,6,1,7,8,5]=>[6,2,3,4,8,1,7,5]=>[2,3,4,6,1,7,8,5]=>[6,2,3,4,8,1,7,5] [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,3,4,6,1,7,5,8]=>[6,2,3,4,7,1,5,8]=>[2,3,4,6,1,7,5,8]=>[6,2,3,4,7,1,5,8] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,4,6,7,8,1,5]=>[8,2,3,4,1,6,7,5]=>[2,3,4,6,7,8,5,1]=>[5,2,3,4,8,6,7,1] [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,7,1,5,8]=>[7,2,3,4,1,6,5,8]=>[2,3,4,6,7,5,1,8]=>[5,2,3,4,7,6,1,8] [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,1,8,5,7]=>[6,2,3,4,8,1,5,7]=>[2,3,4,6,1,8,7,5]=>[6,2,3,4,7,1,8,5] [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[2,3,4,6,8,1,5,7]=>[8,2,3,4,1,6,5,7]=>[2,3,4,6,8,7,5,1]=>[5,2,3,4,7,6,8,1] [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,3,4,6,1,5,7,8]=>[6,2,3,4,1,5,7,8]=>[2,3,4,6,5,1,7,8]=>[5,2,3,4,6,1,7,8] [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[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] [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[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] [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,4,1,7,5,8,6]=>[4,2,3,1,7,8,5,6]=>[2,3,4,1,7,5,8,6]=>[4,2,3,1,7,8,5,6] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,3,4,1,7,8,5,6]=>[4,2,3,1,8,5,7,6]=>[2,3,4,1,7,8,6,5]=>[4,2,3,1,6,8,7,5] [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,4,1,7,5,6,8]=>[4,2,3,1,7,5,6,8]=>[2,3,4,1,7,6,5,8]=>[4,2,3,1,6,7,5,8] [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,3,4,7,1,5,8,6]=>[7,2,3,4,1,8,5,6]=>[2,3,4,7,5,1,8,6]=>[5,2,3,4,7,8,1,6] [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,4,7,1,8,5,6]=>[7,2,3,4,8,5,1,6]=>[2,3,4,7,1,8,6,5]=>[7,2,3,4,6,8,1,5] [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,4,7,1,5,6,8]=>[7,2,3,4,1,5,6,8]=>[2,3,4,7,6,5,1,8]=>[5,2,3,4,6,7,1,8] [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[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] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[2,3,4,1,5,8,6,7]=>[4,2,3,1,5,8,6,7]=>[2,3,4,1,5,8,7,6]=>[4,2,3,1,5,7,8,6] [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,4,1,8,5,6,7]=>[4,2,3,1,8,5,6,7]=>[2,3,4,1,8,7,6,5]=>[4,2,3,1,6,7,8,5] [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,4,8,1,5,6,7]=>[8,2,3,4,1,5,6,7]=>[2,3,4,8,7,6,5,1]=>[5,2,3,4,6,7,8,1] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[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] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[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] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[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] [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[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] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[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] [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,7,8,4,6]=>[3,2,1,8,5,4,7,6]=>[2,3,1,5,7,8,6,4]=>[3,2,1,6,5,8,7,4] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[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] [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,5,1,6,7,8,4]=>[5,2,3,8,1,6,7,4]=>[2,3,5,1,6,7,8,4]=>[5,2,3,8,1,6,7,4] [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,5,1,6,4,8,7]=>[5,2,3,6,1,4,8,7]=>[2,3,5,1,6,4,8,7]=>[5,2,3,6,1,4,8,7] [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,5,1,6,4,7,8]=>[5,2,3,6,1,4,7,8]=>[2,3,5,1,6,4,7,8]=>[5,2,3,6,1,4,7,8] [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,5,6,1,7,8,4]=>[6,2,3,8,5,1,7,4]=>[2,3,5,6,1,7,8,4]=>[6,2,3,8,5,1,7,4] [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,5,6,1,7,4,8]=>[6,2,3,7,5,1,4,8]=>[2,3,5,6,1,7,4,8]=>[6,2,3,7,5,1,4,8] [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,5,6,7,1,8,4]=>[7,2,3,8,5,6,1,4]=>[2,3,5,6,7,1,8,4]=>[7,2,3,8,5,6,1,4] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,5,6,7,8,1,4]=>[8,2,3,1,5,6,7,4]=>[2,3,5,6,7,8,4,1]=>[4,2,3,8,5,6,7,1] [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,5,6,7,1,4,8]=>[7,2,3,1,5,6,4,8]=>[2,3,5,6,7,4,1,8]=>[4,2,3,7,5,6,1,8] [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,6,1,4,8,7]=>[6,2,3,1,5,4,8,7]=>[2,3,5,6,4,1,8,7]=>[4,2,3,6,5,1,8,7] [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,6,8,1,4,7]=>[8,2,3,1,5,6,4,7]=>[2,3,5,6,8,7,4,1]=>[4,2,3,7,5,6,8,1] [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,5,6,1,4,7,8]=>[6,2,3,1,5,4,7,8]=>[2,3,5,6,4,1,7,8]=>[4,2,3,6,5,1,7,8] [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,1,4,7,6,8]=>[5,2,3,1,4,7,6,8]=>[2,3,5,4,1,7,6,8]=>[4,2,3,5,1,7,6,8] [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,1,7,4,8,6]=>[5,2,3,7,1,8,4,6]=>[2,3,5,1,7,4,8,6]=>[5,2,3,7,1,8,4,6] [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,7,8,1,4,6]=>[8,2,3,1,5,4,7,6]=>[2,3,5,7,8,6,4,1]=>[4,2,3,6,5,8,7,1] [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,5,1,4,8,6,7]=>[5,2,3,1,4,8,6,7]=>[2,3,5,4,1,8,7,6]=>[4,2,3,5,1,7,8,6] [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,5,1,8,4,6,7]=>[5,2,3,8,1,4,6,7]=>[2,3,5,1,8,7,6,4]=>[5,2,3,6,1,7,8,4] [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,5,1,4,6,7,8]=>[5,2,3,1,4,6,7,8]=>[2,3,5,4,1,6,7,8]=>[4,2,3,5,1,6,7,8] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[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] [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[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] [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,3,1,6,4,7,5,8]=>[3,2,1,6,7,4,5,8]=>[2,3,1,6,4,7,5,8]=>[3,2,1,6,7,4,5,8] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,1,6,7,8,4,5]=>[3,2,1,8,4,6,7,5]=>[2,3,1,6,7,8,5,4]=>[3,2,1,5,8,6,7,4] [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,1,6,7,4,5,8]=>[3,2,1,7,4,6,5,8]=>[2,3,1,6,7,5,4,8]=>[3,2,1,5,7,6,4,8] [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[2,3,1,6,4,5,8,7]=>[3,2,1,6,4,5,8,7]=>[2,3,1,6,5,4,8,7]=>[3,2,1,5,6,4,8,7] [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,1,6,8,4,5,7]=>[3,2,1,8,4,6,5,7]=>[2,3,1,6,8,7,5,4]=>[3,2,1,5,7,6,8,4] [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,1,6,4,5,7,8]=>[3,2,1,6,4,5,7,8]=>[2,3,1,6,5,4,7,8]=>[3,2,1,5,6,4,7,8] [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,3,6,1,4,7,8,5]=>[6,2,3,1,8,4,7,5]=>[2,3,6,4,1,7,8,5]=>[4,2,3,6,8,1,7,5] [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,3,6,1,4,7,5,8]=>[6,2,3,1,7,4,5,8]=>[2,3,6,4,1,7,5,8]=>[4,2,3,6,7,1,5,8] [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,6,1,7,8,4,5]=>[6,2,3,8,4,1,7,5]=>[2,3,6,1,7,8,5,4]=>[6,2,3,5,8,1,7,4] [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,3,6,1,7,4,5,8]=>[6,2,3,7,4,1,5,8]=>[2,3,6,1,7,5,4,8]=>[6,2,3,5,7,1,4,8] [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,3,6,7,1,4,8,5]=>[7,2,3,1,8,6,4,5]=>[2,3,6,7,4,1,8,5]=>[4,2,3,7,8,6,1,5] [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,6,7,1,8,4,5]=>[7,2,3,8,4,6,1,5]=>[2,3,6,7,1,8,5,4]=>[7,2,3,5,8,6,1,4] [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,6,7,1,4,5,8]=>[7,2,3,1,4,6,5,8]=>[2,3,6,7,5,4,1,8]=>[4,2,3,5,7,6,1,8] [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[2,3,6,1,4,5,8,7]=>[6,2,3,1,4,5,8,7]=>[2,3,6,5,4,1,8,7]=>[4,2,3,5,6,1,8,7] [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,6,1,4,8,5,7]=>[6,2,3,1,8,4,5,7]=>[2,3,6,4,1,8,7,5]=>[4,2,3,6,7,1,8,5] [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,6,1,8,4,5,7]=>[6,2,3,8,4,1,5,7]=>[2,3,6,1,8,7,5,4]=>[6,2,3,5,7,1,8,4] [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,6,1,4,5,7,8]=>[6,2,3,1,4,5,7,8]=>[2,3,6,5,4,1,7,8]=>[4,2,3,5,6,1,7,8] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[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] [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[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] [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,1,4,7,8,5,6]=>[3,2,1,4,8,5,7,6]=>[2,3,1,4,7,8,6,5]=>[3,2,1,4,6,8,7,5] [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[2,3,1,7,4,5,8,6]=>[3,2,1,7,4,8,5,6]=>[2,3,1,7,5,4,8,6]=>[3,2,1,5,7,8,4,6] [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,1,7,4,8,5,6]=>[3,2,1,7,8,5,4,6]=>[2,3,1,7,4,8,6,5]=>[3,2,1,7,6,8,4,5] [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,7,1,4,8,5,6]=>[7,2,3,1,8,5,4,6]=>[2,3,7,4,1,8,6,5]=>[4,2,3,7,6,8,1,5] [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,7,1,4,5,6,8]=>[7,2,3,1,4,5,6,8]=>[2,3,7,6,5,4,1,8]=>[4,2,3,5,6,7,1,8] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[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] [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,1,4,8,5,6,7]=>[3,2,1,4,8,5,6,7]=>[2,3,1,4,8,7,6,5]=>[3,2,1,4,6,7,8,5] [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,3,1,8,4,5,6,7]=>[3,2,1,8,4,5,6,7]=>[2,3,1,8,7,6,5,4]=>[3,2,1,5,6,7,8,4] [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,3,8,1,4,5,6,7]=>[8,2,3,1,4,5,6,7]=>[2,3,8,7,6,5,4,1]=>[4,2,3,5,6,7,8,1] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[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] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[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] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[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] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[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] [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,4,5,6,8,3,7]=>[2,1,8,4,5,6,3,7]=>[2,1,4,5,6,8,7,3]=>[2,1,7,4,5,6,8,3] [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,7,3,8,6]=>[2,1,7,4,5,8,3,6]=>[2,1,4,5,7,3,8,6]=>[2,1,7,4,5,8,3,6] [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,7,8,3,6]=>[2,1,8,4,5,3,7,6]=>[2,1,4,5,7,8,6,3]=>[2,1,6,4,5,8,7,3] [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[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] [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,4,5,8,3,6,7]=>[2,1,8,4,5,3,6,7]=>[2,1,4,5,8,7,6,3]=>[2,1,6,4,5,7,8,3] [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[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] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[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] [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[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] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[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] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,8,5,7]=>[2,1,4,3,8,6,5,7]=>[2,1,4,3,6,8,7,5]=>[2,1,4,3,7,6,8,5] [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[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] [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,6,3,7,8,5]=>[2,1,6,4,8,3,7,5]=>[2,1,4,6,3,7,8,5]=>[2,1,6,4,8,3,7,5] [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,6,7,3,8,5]=>[2,1,7,4,8,6,3,5]=>[2,1,4,6,7,3,8,5]=>[2,1,7,4,8,6,3,5] [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,3,5,8,7]=>[2,1,6,4,3,5,8,7]=>[2,1,4,6,5,3,8,7]=>[2,1,5,4,6,3,8,7] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,3,8,5,7]=>[2,1,6,4,8,3,5,7]=>[2,1,4,6,3,8,7,5]=>[2,1,6,4,7,3,8,5] [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,6,8,3,5,7]=>[2,1,8,4,3,6,5,7]=>[2,1,4,6,8,7,5,3]=>[2,1,5,4,7,6,8,3] [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,6,3,5,7,8]=>[2,1,6,4,3,5,7,8]=>[2,1,4,6,5,3,7,8]=>[2,1,5,4,6,3,7,8] [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,4,3,7,5,8,6]=>[2,1,4,3,7,8,5,6]=>[2,1,4,3,7,5,8,6]=>[2,1,4,3,7,8,5,6] [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,4,3,7,8,5,6]=>[2,1,4,3,8,5,7,6]=>[2,1,4,3,7,8,6,5]=>[2,1,4,3,6,8,7,5] [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,4,7,3,5,8,6]=>[2,1,7,4,3,8,5,6]=>[2,1,4,7,5,3,8,6]=>[2,1,5,4,7,8,3,6] [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,4,7,8,3,5,6]=>[2,1,8,4,3,5,7,6]=>[2,1,4,7,8,6,5,3]=>[2,1,5,4,6,8,7,3] [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[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] [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,4,3,5,8,6,7]=>[2,1,4,3,5,8,6,7]=>[2,1,4,3,5,8,7,6]=>[2,1,4,3,5,7,8,6] [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,4,3,8,5,6,7]=>[2,1,4,3,8,5,6,7]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,6,7,8,5] [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,4,8,3,5,6,7]=>[2,1,8,4,3,5,6,7]=>[2,1,4,8,7,6,5,3]=>[2,1,5,4,6,7,8,3] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[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] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,4,1,5,6,7,8,3]=>[4,2,8,1,5,6,7,3]=>[2,4,1,5,6,7,8,3]=>[4,2,8,1,5,6,7,3] [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,4,1,5,6,7,3,8]=>[4,2,7,1,5,6,3,8]=>[2,4,1,5,6,7,3,8]=>[4,2,7,1,5,6,3,8] [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,4,1,5,6,3,8,7]=>[4,2,6,1,5,3,8,7]=>[2,4,1,5,6,3,8,7]=>[4,2,6,1,5,3,8,7] [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,4,1,5,6,3,7,8]=>[4,2,6,1,5,3,7,8]=>[2,4,1,5,6,3,7,8]=>[4,2,6,1,5,3,7,8] [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,4,1,5,3,7,8,6]=>[4,2,5,1,3,8,7,6]=>[2,4,1,5,3,7,8,6]=>[4,2,5,1,3,8,7,6] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,4,1,5,3,7,6,8]=>[4,2,5,1,3,7,6,8]=>[2,4,1,5,3,7,6,8]=>[4,2,5,1,3,7,6,8] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,4,1,5,7,3,8,6]=>[4,2,7,1,5,8,3,6]=>[2,4,1,5,7,3,8,6]=>[4,2,7,1,5,8,3,6] [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,4,1,5,3,8,6,7]=>[4,2,5,1,3,8,6,7]=>[2,4,1,5,3,8,7,6]=>[4,2,5,1,3,7,8,6] [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,4,1,5,8,3,6,7]=>[4,2,8,1,5,3,6,7]=>[2,4,1,5,8,7,6,3]=>[4,2,6,1,5,7,8,3] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,4,1,5,3,6,7,8]=>[4,2,5,1,3,6,7,8]=>[2,4,1,5,3,6,7,8]=>[4,2,5,1,3,6,7,8] [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,4,5,1,6,7,3,8]=>[5,2,7,4,1,6,3,8]=>[2,4,5,1,6,7,3,8]=>[5,2,7,4,1,6,3,8] [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,4,5,1,6,3,8,7]=>[5,2,6,4,1,3,8,7]=>[2,4,5,1,6,3,8,7]=>[5,2,6,4,1,3,8,7] [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,4,5,1,6,8,3,7]=>[5,2,8,4,1,6,3,7]=>[2,4,5,1,6,8,7,3]=>[5,2,7,4,1,6,8,3] [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,4,5,1,6,3,7,8]=>[5,2,6,4,1,3,7,8]=>[2,4,5,1,6,3,7,8]=>[5,2,6,4,1,3,7,8] [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,4,5,6,1,7,8,3]=>[6,2,8,4,5,1,7,3]=>[2,4,5,6,1,7,8,3]=>[6,2,8,4,5,1,7,3] [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,4,5,6,1,7,3,8]=>[6,2,7,4,5,1,3,8]=>[2,4,5,6,1,7,3,8]=>[6,2,7,4,5,1,3,8] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,4,5,6,7,1,8,3]=>[7,2,8,4,5,6,1,3]=>[2,4,5,6,7,1,8,3]=>[7,2,8,4,5,6,1,3] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,5,6,7,8,1,3]=>[8,2,1,4,5,6,7,3]=>[2,4,5,6,7,8,3,1]=>[3,2,8,4,5,6,7,1] [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,4,5,6,7,1,3,8]=>[7,2,1,4,5,6,3,8]=>[2,4,5,6,7,3,1,8]=>[3,2,7,4,5,6,1,8] [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,4,5,6,1,8,3,7]=>[6,2,8,4,5,1,3,7]=>[2,4,5,6,1,8,7,3]=>[6,2,7,4,5,1,8,3] [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,4,5,6,8,1,3,7]=>[8,2,1,4,5,6,3,7]=>[2,4,5,6,8,7,3,1]=>[3,2,7,4,5,6,8,1] [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,4,5,6,1,3,7,8]=>[6,2,1,4,5,3,7,8]=>[2,4,5,6,3,1,7,8]=>[3,2,6,4,5,1,7,8] [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,5,1,3,7,8,6]=>[5,2,1,4,3,8,7,6]=>[2,4,5,3,1,7,8,6]=>[3,2,5,4,1,8,7,6] [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,5,1,3,7,6,8]=>[5,2,1,4,3,7,6,8]=>[2,4,5,3,1,7,6,8]=>[3,2,5,4,1,7,6,8] [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,5,1,7,3,8,6]=>[5,2,7,4,1,8,3,6]=>[2,4,5,1,7,3,8,6]=>[5,2,7,4,1,8,3,6] [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,5,1,7,8,3,6]=>[5,2,8,4,1,3,7,6]=>[2,4,5,1,7,8,6,3]=>[5,2,6,4,1,8,7,3] [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,5,1,7,3,6,8]=>[5,2,7,4,1,3,6,8]=>[2,4,5,1,7,6,3,8]=>[5,2,6,4,1,7,3,8] [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,4,5,7,1,3,8,6]=>[7,2,1,4,5,8,3,6]=>[2,4,5,7,3,1,8,6]=>[3,2,7,4,5,8,1,6] [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,5,7,1,8,3,6]=>[7,2,8,4,5,3,1,6]=>[2,4,5,7,1,8,6,3]=>[7,2,6,4,5,8,1,3] [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,4,5,1,3,6,7,8]=>[5,2,1,4,3,6,7,8]=>[2,4,5,3,1,6,7,8]=>[3,2,5,4,1,6,7,8] [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,1,3,6,7,8,5]=>[4,2,1,3,8,6,7,5]=>[2,4,3,1,6,7,8,5]=>[3,2,4,1,8,6,7,5] [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,1,3,6,5,8,7]=>[4,2,1,3,6,5,8,7]=>[2,4,3,1,6,5,8,7]=>[3,2,4,1,6,5,8,7] [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,1,3,6,8,5,7]=>[4,2,1,3,8,6,5,7]=>[2,4,3,1,6,8,7,5]=>[3,2,4,1,7,6,8,5] [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,1,3,6,5,7,8]=>[4,2,1,3,6,5,7,8]=>[2,4,3,1,6,5,7,8]=>[3,2,4,1,6,5,7,8] [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,1,6,3,7,8,5]=>[4,2,6,1,8,3,7,5]=>[2,4,1,6,3,7,8,5]=>[4,2,6,1,8,3,7,5] [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,1,6,3,7,5,8]=>[4,2,6,1,7,3,5,8]=>[2,4,1,6,3,7,5,8]=>[4,2,6,1,7,3,5,8] [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,1,6,7,3,8,5]=>[4,2,7,1,8,6,3,5]=>[2,4,1,6,7,3,8,5]=>[4,2,7,1,8,6,3,5] [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,1,6,7,8,3,5]=>[4,2,8,1,3,6,7,5]=>[2,4,1,6,7,8,5,3]=>[4,2,5,1,8,6,7,3] [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,1,6,3,5,8,7]=>[4,2,6,1,3,5,8,7]=>[2,4,1,6,5,3,8,7]=>[4,2,5,1,6,3,8,7] [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,1,6,3,8,5,7]=>[4,2,6,1,8,3,5,7]=>[2,4,1,6,3,8,7,5]=>[4,2,6,1,7,3,8,5] [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,1,6,8,3,5,7]=>[4,2,8,1,3,6,5,7]=>[2,4,1,6,8,7,5,3]=>[4,2,5,1,7,6,8,3] [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,1,6,3,5,7,8]=>[4,2,6,1,3,5,7,8]=>[2,4,1,6,5,3,7,8]=>[4,2,5,1,6,3,7,8] [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,4,6,1,3,7,8,5]=>[6,2,1,4,8,3,7,5]=>[2,4,6,3,1,7,8,5]=>[3,2,6,4,8,1,7,5] [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,4,6,1,7,3,8,5]=>[6,2,7,4,8,1,3,5]=>[2,4,6,1,7,3,8,5]=>[6,2,7,4,8,1,3,5] [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,4,6,7,1,3,8,5]=>[7,2,1,4,8,6,3,5]=>[2,4,6,7,3,1,8,5]=>[3,2,7,4,8,6,1,5] [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,4,6,7,1,8,3,5]=>[7,2,8,4,3,6,1,5]=>[2,4,6,7,1,8,5,3]=>[7,2,5,4,8,6,1,3] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,4,6,7,8,1,3,5]=>[8,2,1,4,3,6,7,5]=>[2,4,6,7,8,5,3,1]=>[3,2,5,4,8,6,7,1] [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,4,6,7,1,3,5,8]=>[7,2,1,4,3,6,5,8]=>[2,4,6,7,5,3,1,8]=>[3,2,5,4,7,6,1,8] [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,4,6,1,3,5,8,7]=>[6,2,1,4,3,5,8,7]=>[2,4,6,5,3,1,8,7]=>[3,2,5,4,6,1,8,7] [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,4,6,1,3,8,5,7]=>[6,2,1,4,8,3,5,7]=>[2,4,6,3,1,8,7,5]=>[3,2,6,4,7,1,8,5] [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,6,1,8,3,5,7]=>[6,2,8,4,3,1,5,7]=>[2,4,6,1,8,7,5,3]=>[6,2,5,4,7,1,8,3] [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,6,8,1,3,5,7]=>[8,2,1,4,3,6,5,7]=>[2,4,6,8,7,5,3,1]=>[3,2,5,4,7,6,8,1] [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,4,6,1,3,5,7,8]=>[6,2,1,4,3,5,7,8]=>[2,4,6,5,3,1,7,8]=>[3,2,5,4,6,1,7,8] [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,4,1,3,7,8,5,6]=>[4,2,1,3,8,5,7,6]=>[2,4,3,1,7,8,6,5]=>[3,2,4,1,6,8,7,5] [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,4,1,7,3,5,8,6]=>[4,2,7,1,3,8,5,6]=>[2,4,1,7,5,3,8,6]=>[4,2,5,1,7,8,3,6] [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,4,1,7,3,8,5,6]=>[4,2,7,1,8,5,3,6]=>[2,4,1,7,3,8,6,5]=>[4,2,7,1,6,8,3,5] [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,4,1,7,8,3,5,6]=>[4,2,8,1,3,5,7,6]=>[2,4,1,7,8,6,5,3]=>[4,2,5,1,6,8,7,3] [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,4,7,1,3,8,5,6]=>[7,2,1,4,8,5,3,6]=>[2,4,7,3,1,8,6,5]=>[3,2,7,4,6,8,1,5] [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,4,7,8,1,3,5,6]=>[8,2,1,4,3,5,7,6]=>[2,4,7,8,6,5,3,1]=>[3,2,5,4,6,8,7,1] [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1,3,5,8,6,7]=>[4,2,1,3,5,8,6,7]=>[2,4,3,1,5,8,7,6]=>[3,2,4,1,5,7,8,6] [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1,3,8,5,6,7]=>[4,2,1,3,8,5,6,7]=>[2,4,3,1,8,7,6,5]=>[3,2,4,1,6,7,8,5] [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1,8,3,5,6,7]=>[4,2,8,1,3,5,6,7]=>[2,4,1,8,7,6,5,3]=>[4,2,5,1,6,7,8,3] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,4,1,3,5,6,7,8]=>[4,2,1,3,5,6,7,8]=>[2,4,3,1,5,6,7,8]=>[3,2,4,1,5,6,7,8] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[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] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[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] [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,1,3,5,4,8,6,7]=>[2,1,3,5,4,8,6,7]=>[2,1,3,5,4,8,7,6]=>[2,1,3,5,4,7,8,6] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[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] [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,1,5,3,6,7,8,4]=>[2,1,5,8,3,6,7,4]=>[2,1,5,3,6,7,8,4]=>[2,1,5,8,3,6,7,4] [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[2,1,5,3,6,7,4,8]=>[2,1,5,7,3,6,4,8]=>[2,1,5,3,6,7,4,8]=>[2,1,5,7,3,6,4,8] [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,1,5,3,6,4,8,7]=>[2,1,5,6,3,4,8,7]=>[2,1,5,3,6,4,8,7]=>[2,1,5,6,3,4,8,7] [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[2,1,5,3,6,8,4,7]=>[2,1,5,8,3,6,4,7]=>[2,1,5,3,6,8,7,4]=>[2,1,5,7,3,6,8,4] [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[2,1,5,6,3,7,8,4]=>[2,1,6,8,5,3,7,4]=>[2,1,5,6,3,7,8,4]=>[2,1,6,8,5,3,7,4] [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,1,5,6,7,3,8,4]=>[2,1,7,8,5,6,3,4]=>[2,1,5,6,7,3,8,4]=>[2,1,7,8,5,6,3,4] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,1,5,6,7,8,3,4]=>[2,1,8,3,5,6,7,4]=>[2,1,5,6,7,8,4,3]=>[2,1,4,8,5,6,7,3] [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[2,1,5,6,3,4,8,7]=>[2,1,6,3,5,4,8,7]=>[2,1,5,6,4,3,8,7]=>[2,1,4,6,5,3,8,7] [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,1,5,6,3,4,7,8]=>[2,1,6,3,5,4,7,8]=>[2,1,5,6,4,3,7,8]=>[2,1,4,6,5,3,7,8] [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,1,5,3,7,4,8,6]=>[2,1,5,7,3,8,4,6]=>[2,1,5,3,7,4,8,6]=>[2,1,5,7,3,8,4,6] [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,1,5,3,7,8,4,6]=>[2,1,5,8,3,4,7,6]=>[2,1,5,3,7,8,6,4]=>[2,1,5,6,3,8,7,4] [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[2,1,5,7,3,4,8,6]=>[2,1,7,3,5,8,4,6]=>[2,1,5,7,4,3,8,6]=>[2,1,4,7,5,8,3,6] [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,1,5,7,3,8,4,6]=>[2,1,7,8,5,4,3,6]=>[2,1,5,7,3,8,6,4]=>[2,1,7,6,5,8,3,4] [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,1,5,7,8,3,4,6]=>[2,1,8,3,5,4,7,6]=>[2,1,5,7,8,6,4,3]=>[2,1,4,6,5,8,7,3] [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,1,5,3,8,4,6,7]=>[2,1,5,8,3,4,6,7]=>[2,1,5,3,8,7,6,4]=>[2,1,5,6,3,7,8,4] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,1,5,3,4,6,7,8]=>[2,1,5,3,4,6,7,8]=>[2,1,5,4,3,6,7,8]=>[2,1,4,5,3,6,7,8] [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[2,5,1,3,6,4,8,7]=>[5,2,1,6,3,4,8,7]=>[2,5,3,1,6,4,8,7]=>[3,2,5,6,1,4,8,7] [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[2,5,1,3,6,4,7,8]=>[5,2,1,6,3,4,7,8]=>[2,5,3,1,6,4,7,8]=>[3,2,5,6,1,4,7,8] [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[2,5,1,6,3,7,8,4]=>[5,2,6,8,1,3,7,4]=>[2,5,1,6,3,7,8,4]=>[5,2,6,8,1,3,7,4] [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[2,5,1,6,3,7,4,8]=>[5,2,6,7,1,3,4,8]=>[2,5,1,6,3,7,4,8]=>[5,2,6,7,1,3,4,8] [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[2,5,1,6,7,3,8,4]=>[5,2,7,8,1,6,3,4]=>[2,5,1,6,7,3,8,4]=>[5,2,7,8,1,6,3,4] [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,5,1,6,7,8,3,4]=>[5,2,8,3,1,6,7,4]=>[2,5,1,6,7,8,4,3]=>[5,2,4,8,1,6,7,3] [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[2,5,1,6,7,3,4,8]=>[5,2,7,3,1,6,4,8]=>[2,5,1,6,7,4,3,8]=>[5,2,4,7,1,6,3,8] [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[2,5,1,6,3,4,8,7]=>[5,2,6,3,1,4,8,7]=>[2,5,1,6,4,3,8,7]=>[5,2,4,6,1,3,8,7] [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,5,6,1,3,7,8,4]=>[6,2,1,8,5,3,7,4]=>[2,5,6,3,1,7,8,4]=>[3,2,6,8,5,1,7,4] [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,5,6,1,7,8,3,4]=>[6,2,8,3,5,1,7,4]=>[2,5,6,1,7,8,4,3]=>[6,2,4,8,5,1,7,3] [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,5,6,1,7,3,4,8]=>[6,2,7,3,5,1,4,8]=>[2,5,6,1,7,4,3,8]=>[6,2,4,7,5,1,3,8] [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,5,6,7,1,8,3,4]=>[7,2,8,3,5,6,1,4]=>[2,5,6,7,1,8,4,3]=>[7,2,4,8,5,6,1,3] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,5,6,7,8,1,3,4]=>[8,2,1,3,5,6,7,4]=>[2,5,6,7,8,4,3,1]=>[3,2,4,8,5,6,7,1] [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[2,5,6,1,8,3,4,7]=>[6,2,8,3,5,1,4,7]=>[2,5,6,1,8,7,4,3]=>[6,2,4,7,5,1,8,3] [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[2,5,1,3,4,7,8,6]=>[5,2,1,3,4,8,7,6]=>[2,5,4,3,1,7,8,6]=>[3,2,4,5,1,8,7,6] [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,5,1,3,7,8,4,6]=>[5,2,1,8,3,4,7,6]=>[2,5,3,1,7,8,6,4]=>[3,2,5,6,1,8,7,4] [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[2,5,1,7,3,4,8,6]=>[5,2,7,3,1,8,4,6]=>[2,5,1,7,4,3,8,6]=>[5,2,4,7,1,8,3,6] [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,5,1,7,3,8,4,6]=>[5,2,7,8,1,4,3,6]=>[2,5,1,7,3,8,6,4]=>[5,2,7,6,1,8,3,4] [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,5,1,7,8,3,4,6]=>[5,2,8,3,1,4,7,6]=>[2,5,1,7,8,6,4,3]=>[5,2,4,6,1,8,7,3] [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,5,7,1,3,8,4,6]=>[7,2,1,8,5,4,3,6]=>[2,5,7,3,1,8,6,4]=>[3,2,7,6,5,8,1,4] [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,5,7,1,8,3,4,6]=>[7,2,8,3,5,4,1,6]=>[2,5,7,1,8,6,4,3]=>[7,2,4,6,5,8,1,3] [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,5,1,3,4,8,6,7]=>[5,2,1,3,4,8,6,7]=>[2,5,4,3,1,8,7,6]=>[3,2,4,5,1,7,8,6] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,5,1,3,4,6,7,8]=>[5,2,1,3,4,6,7,8]=>[2,5,4,3,1,6,7,8]=>[3,2,4,5,1,6,7,8] [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[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] [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[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] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[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] [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,1,3,6,7,4,8,5]=>[2,1,3,7,8,6,4,5]=>[2,1,3,6,7,4,8,5]=>[2,1,3,7,8,6,4,5] [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[2,1,3,6,4,5,8,7]=>[2,1,3,6,4,5,8,7]=>[2,1,3,6,5,4,8,7]=>[2,1,3,5,6,4,8,7] [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,7,8,5]=>[2,1,6,3,8,4,7,5]=>[2,1,6,4,3,7,8,5]=>[2,1,4,6,8,3,7,5] [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,1,6,3,7,4,8,5]=>[2,1,6,7,8,3,4,5]=>[2,1,6,3,7,4,8,5]=>[2,1,6,7,8,3,4,5] [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[2,1,6,3,7,4,5,8]=>[2,1,6,7,4,3,5,8]=>[2,1,6,3,7,5,4,8]=>[2,1,6,5,7,3,4,8] [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,1,6,7,3,4,8,5]=>[2,1,7,3,8,6,4,5]=>[2,1,6,7,4,3,8,5]=>[2,1,4,7,8,6,3,5] [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,1,6,7,3,8,4,5]=>[2,1,7,8,4,6,3,5]=>[2,1,6,7,3,8,5,4]=>[2,1,7,5,8,6,3,4] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,1,6,7,8,3,4,5]=>[2,1,8,3,4,6,7,5]=>[2,1,6,7,8,5,4,3]=>[2,1,4,5,8,6,7,3] [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,1,6,3,4,5,8,7]=>[2,1,6,3,4,5,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,4,5,6,3,8,7] [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,1,6,3,4,8,5,7]=>[2,1,6,3,8,4,5,7]=>[2,1,6,4,3,8,7,5]=>[2,1,4,6,7,3,8,5] [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[2,6,1,3,7,4,8,5]=>[6,2,1,7,8,3,4,5]=>[2,6,3,1,7,4,8,5]=>[3,2,6,7,8,1,4,5] [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,6,1,3,7,8,4,5]=>[6,2,1,8,4,3,7,5]=>[2,6,3,1,7,8,5,4]=>[3,2,6,5,8,1,7,4] [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[2,6,1,3,7,4,5,8]=>[6,2,1,7,4,3,5,8]=>[2,6,3,1,7,5,4,8]=>[3,2,6,5,7,1,4,8] [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[2,6,1,7,3,4,8,5]=>[6,2,7,3,8,1,4,5]=>[2,6,1,7,4,3,8,5]=>[6,2,4,7,8,1,3,5] [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,6,7,8,1,3,4,5]=>[8,2,1,3,4,6,7,5]=>[2,6,7,8,5,4,3,1]=>[3,2,4,5,8,6,7,1] [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,6,1,3,4,8,5,7]=>[6,2,1,3,8,4,5,7]=>[2,6,4,3,1,8,7,5]=>[3,2,4,6,7,1,8,5] [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,6,8,1,3,4,5,7]=>[8,2,1,3,4,6,5,7]=>[2,6,8,7,5,4,3,1]=>[3,2,4,5,7,6,8,1] [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[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] [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[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] [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,1,3,4,7,5,8,6]=>[2,1,3,4,7,8,5,6]=>[2,1,3,4,7,5,8,6]=>[2,1,3,4,7,8,5,6] [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,1,3,4,7,8,5,6]=>[2,1,3,4,8,5,7,6]=>[2,1,3,4,7,8,6,5]=>[2,1,3,4,6,8,7,5] [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,1,3,7,4,5,8,6]=>[2,1,3,7,4,8,5,6]=>[2,1,3,7,5,4,8,6]=>[2,1,3,5,7,8,4,6] [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,1,3,7,8,4,5,6]=>[2,1,3,8,4,5,7,6]=>[2,1,3,7,8,6,5,4]=>[2,1,3,5,6,8,7,4] [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,1,7,3,4,5,8,6]=>[2,1,7,3,4,8,5,6]=>[2,1,7,5,4,3,8,6]=>[2,1,4,5,7,8,3,6] [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,1,7,3,4,8,5,6]=>[2,1,7,3,8,5,4,6]=>[2,1,7,4,3,8,6,5]=>[2,1,4,7,6,8,3,5] [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,1,7,3,8,4,5,6]=>[2,1,7,8,4,5,3,6]=>[2,1,7,3,8,6,5,4]=>[2,1,7,5,6,8,3,4] [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,1,7,8,3,4,5,6]=>[2,1,8,3,4,5,7,6]=>[2,1,7,8,6,5,4,3]=>[2,1,4,5,6,8,7,3] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,1,7,3,4,5,6,8]=>[2,1,7,3,4,5,6,8]=>[2,1,7,6,5,4,3,8]=>[2,1,4,5,6,7,3,8] [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,7,1,8,3,4,5,6]=>[7,2,8,3,4,5,1,6]=>[2,7,1,8,6,5,4,3]=>[7,2,4,5,6,8,1,3] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,7,8,1,3,4,5,6]=>[8,2,1,3,4,5,7,6]=>[2,7,8,6,5,4,3,1]=>[3,2,4,5,6,8,7,1] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,7,1,3,4,5,6,8]=>[7,2,1,3,4,5,6,8]=>[2,7,6,5,4,3,1,8]=>[3,2,4,5,6,7,1,8] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[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] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,1,3,4,5,8,6,7]=>[2,1,3,4,5,8,6,7]=>[2,1,3,4,5,8,7,6]=>[2,1,3,4,5,7,8,6] [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,1,3,4,8,5,6,7]=>[2,1,3,4,8,5,6,7]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,6,7,8,5] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,1,3,8,4,5,6,7]=>[2,1,3,8,4,5,6,7]=>[2,1,3,8,7,6,5,4]=>[2,1,3,5,6,7,8,4] [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,1,8,3,4,5,6,7]=>[2,1,8,3,4,5,6,7]=>[2,1,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,3] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,8,1,3,4,5,6,7]=>[8,2,1,3,4,5,6,7]=>[2,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,1] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[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] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[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] [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,4,5,6,8,2,7]=>[1,8,3,4,5,6,2,7]=>[1,3,4,5,6,8,7,2]=>[1,7,3,4,5,6,8,2] [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[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] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[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] [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[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] [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,3,4,5,7,2,8,6]=>[1,7,3,4,5,8,2,6]=>[1,3,4,5,7,2,8,6]=>[1,7,3,4,5,8,2,6] [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,7,8,2,6]=>[1,8,3,4,5,2,7,6]=>[1,3,4,5,7,8,6,2]=>[1,6,3,4,5,8,7,2] [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,3,4,5,2,8,6,7]=>[1,5,3,4,2,8,6,7]=>[1,3,4,5,2,8,7,6]=>[1,5,3,4,2,7,8,6] [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,3,4,5,8,2,6,7]=>[1,8,3,4,5,2,6,7]=>[1,3,4,5,8,7,6,2]=>[1,6,3,4,5,7,8,2] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[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] [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[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] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[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] [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,8,5,7]=>[1,4,3,2,8,6,5,7]=>[1,3,4,2,6,8,7,5]=>[1,4,3,2,7,6,8,5] [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,6,7,2,8,5]=>[1,7,3,4,8,6,2,5]=>[1,3,4,6,7,2,8,5]=>[1,7,3,4,8,6,2,5] [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,6,7,8,2,5]=>[1,8,3,4,2,6,7,5]=>[1,3,4,6,7,8,5,2]=>[1,5,3,4,8,6,7,2] [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,7,2,5,8]=>[1,7,3,4,2,6,5,8]=>[1,3,4,6,7,5,2,8]=>[1,5,3,4,7,6,2,8] [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[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] [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[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] [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,4,2,7,5,8,6]=>[1,4,3,2,7,8,5,6]=>[1,3,4,2,7,5,8,6]=>[1,4,3,2,7,8,5,6] [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,3,4,2,7,8,5,6]=>[1,4,3,2,8,5,7,6]=>[1,3,4,2,7,8,6,5]=>[1,4,3,2,6,8,7,5] [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[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] [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]=>[1,3,4,2,5,8,7,6]=>[1,4,3,2,5,7,8,6] [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>[1,3,4,2,8,7,6,5]=>[1,4,3,2,6,7,8,5] [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>[1,3,4,8,7,6,5,2]=>[1,5,3,4,6,7,8,2] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[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] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[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] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[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] [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,5,6,8,4,7]=>[1,3,2,8,5,6,4,7]=>[1,3,2,5,6,8,7,4]=>[1,3,2,7,5,6,8,4] [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[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] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[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] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[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] [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,7,4,8,6]=>[1,3,2,7,5,8,4,6]=>[1,3,2,5,7,4,8,6]=>[1,3,2,7,5,8,4,6] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,7,8,4,6]=>[1,3,2,8,5,4,7,6]=>[1,3,2,5,7,8,6,4]=>[1,3,2,6,5,8,7,4] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,4,6,8]=>[1,3,2,7,5,4,6,8]=>[1,3,2,5,7,6,4,8]=>[1,3,2,6,5,7,4,8] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,7,6]=>[1,3,2,5,4,7,8,6] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[1,3,2,5,8,7,6,4]=>[1,3,2,6,5,7,8,4] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[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] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,5,2,6,7,8,4]=>[1,5,3,8,2,6,7,4]=>[1,3,5,2,6,7,8,4]=>[1,5,3,8,2,6,7,4] [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8] [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8] [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,5,6,2,7,8,4]=>[1,6,3,8,5,2,7,4]=>[1,3,5,6,2,7,8,4]=>[1,6,3,8,5,2,7,4] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8] [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,5,6,7,2,8,4]=>[1,7,3,8,5,6,2,4]=>[1,3,5,6,7,2,8,4]=>[1,7,3,8,5,6,2,4] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,5,6,7,8,2,4]=>[1,8,3,2,5,6,7,4]=>[1,3,5,6,7,8,4,2]=>[1,4,3,8,5,6,7,2] [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,5,6,7,2,4,8]=>[1,7,3,2,5,6,4,8]=>[1,3,5,6,7,4,2,8]=>[1,4,3,7,5,6,2,8] [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,5,6,8,2,4,7]=>[1,8,3,2,5,6,4,7]=>[1,3,5,6,8,7,4,2]=>[1,4,3,7,5,6,8,2] [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,5,6,2,4,7,8]=>[1,6,3,2,5,4,7,8]=>[1,3,5,6,4,2,7,8]=>[1,4,3,6,5,2,7,8] [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,2,4,7,8,6]=>[1,5,3,2,4,8,7,6]=>[1,3,5,4,2,7,8,6]=>[1,4,3,5,2,8,7,6] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,2,4,7,6,8]=>[1,5,3,2,4,7,6,8]=>[1,3,5,4,2,7,6,8]=>[1,4,3,5,2,7,6,8] [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6] [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,2,7,8,4,6]=>[1,5,3,8,2,4,7,6]=>[1,3,5,2,7,8,6,4]=>[1,5,3,6,2,8,7,4] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,2,7,4,6,8]=>[1,5,3,7,2,4,6,8]=>[1,3,5,2,7,6,4,8]=>[1,5,3,6,2,7,4,8] [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,5,7,2,4,8,6]=>[1,7,3,2,5,8,4,6]=>[1,3,5,7,4,2,8,6]=>[1,4,3,7,5,8,2,6] [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,5,7,2,8,4,6]=>[1,7,3,8,5,4,2,6]=>[1,3,5,7,2,8,6,4]=>[1,7,3,6,5,8,2,4] [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,7,8,2,4,6]=>[1,8,3,2,5,4,7,6]=>[1,3,5,7,8,6,4,2]=>[1,4,3,6,5,8,7,2] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]=>[1,3,5,7,6,4,2,8]=>[1,4,3,6,5,7,2,8] [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]=>[1,3,5,4,2,6,8,7]=>[1,4,3,5,2,6,8,7] [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>[1,3,5,2,8,7,6,4]=>[1,5,3,6,2,7,8,4] [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[1,3,5,8,7,6,4,2]=>[1,4,3,6,5,7,8,2] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>[1,3,5,4,2,6,7,8]=>[1,4,3,5,2,6,7,8] [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[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] [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[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] [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[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] [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,3,2,4,6,8,5,7]=>[1,3,2,4,8,6,5,7]=>[1,3,2,4,6,8,7,5]=>[1,3,2,4,7,6,8,5] [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[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] [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,3,2,6,4,7,8,5]=>[1,3,2,6,8,4,7,5]=>[1,3,2,6,4,7,8,5]=>[1,3,2,6,8,4,7,5] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8] [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,2,6,7,8,4,5]=>[1,3,2,8,4,6,7,5]=>[1,3,2,6,7,8,5,4]=>[1,3,2,5,8,6,7,4] [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,2,6,7,4,5,8]=>[1,3,2,7,4,6,5,8]=>[1,3,2,6,7,5,4,8]=>[1,3,2,5,7,6,4,8] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>[1,3,2,6,4,8,7,5]=>[1,3,2,6,7,4,8,5] [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,8,7,5,4]=>[1,3,2,5,7,6,8,4] [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,5,4,7,8]=>[1,3,2,5,6,4,7,8] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,3,6,2,4,7,5,8]=>[1,6,3,2,7,4,5,8]=>[1,3,6,4,2,7,5,8]=>[1,4,3,6,7,2,5,8] [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,6,2,7,4,8,5]=>[1,6,3,7,8,2,4,5]=>[1,3,6,2,7,4,8,5]=>[1,6,3,7,8,2,4,5] [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,3,6,2,7,8,4,5]=>[1,6,3,8,4,2,7,5]=>[1,3,6,2,7,8,5,4]=>[1,6,3,5,8,2,7,4] [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,3,6,7,2,4,8,5]=>[1,7,3,2,8,6,4,5]=>[1,3,6,7,4,2,8,5]=>[1,4,3,7,8,6,2,5] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,6,7,8,2,4,5]=>[1,8,3,2,4,6,7,5]=>[1,3,6,7,8,5,4,2]=>[1,4,3,5,8,6,7,2] [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,6,7,2,4,5,8]=>[1,7,3,2,4,6,5,8]=>[1,3,6,7,5,4,2,8]=>[1,4,3,5,7,6,2,8] [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,3,6,2,4,5,8,7]=>[1,6,3,2,4,5,8,7]=>[1,3,6,5,4,2,8,7]=>[1,4,3,5,6,2,8,7] [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,6,2,4,8,5,7]=>[1,6,3,2,8,4,5,7]=>[1,3,6,4,2,8,7,5]=>[1,4,3,6,7,2,8,5] [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[1,3,6,2,8,7,5,4]=>[1,6,3,5,7,2,8,4] [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,6,8,2,4,5,7]=>[1,8,3,2,4,6,5,7]=>[1,3,6,8,7,5,4,2]=>[1,4,3,5,7,6,8,2] [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[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] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[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] [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6] [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,7,6,5,8]=>[1,3,2,4,6,7,5,8] [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,3,2,7,4,5,8,6]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,5,4,8,6]=>[1,3,2,5,7,8,4,6] [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[1,3,2,7,4,8,6,5]=>[1,3,2,7,6,8,4,5] [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,6,5,4,8]=>[1,3,2,5,6,7,4,8] [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,3,7,2,4,5,8,6]=>[1,7,3,2,4,8,5,6]=>[1,3,7,5,4,2,8,6]=>[1,4,3,5,7,8,2,6] [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>[1,3,7,4,2,8,6,5]=>[1,4,3,7,6,8,2,5] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[1,3,7,2,8,6,5,4]=>[1,7,3,5,6,8,2,4] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,7,8,2,4,5,6]=>[1,8,3,2,4,5,7,6]=>[1,3,7,8,6,5,4,2]=>[1,4,3,5,6,8,7,2] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[1,3,7,6,5,4,2,8]=>[1,4,3,5,6,7,2,8] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[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] [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,7,6]=>[1,3,2,4,5,7,8,6] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,6,7,8,5] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,7,6,5,4]=>[1,3,2,5,6,7,8,4] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[1,3,8,7,6,5,4,2]=>[1,4,3,5,6,7,8,2] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[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] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,5,6,7,8,2]=>[3,8,1,4,5,6,7,2]=>[3,1,4,5,6,7,8,2]=>[3,8,1,4,5,6,7,2] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,1,4,5,6,7,2,8]=>[3,7,1,4,5,6,2,8]=>[3,1,4,5,6,7,2,8]=>[3,7,1,4,5,6,2,8] [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,4,5,6,2,8,7]=>[3,6,1,4,5,2,8,7]=>[3,1,4,5,6,2,8,7]=>[3,6,1,4,5,2,8,7] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,1,4,5,6,8,2,7]=>[3,8,1,4,5,6,2,7]=>[3,1,4,5,6,8,7,2]=>[3,7,1,4,5,6,8,2] [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[3,1,4,5,2,7,8,6]=>[3,5,1,4,2,8,7,6]=>[3,1,4,5,2,7,8,6]=>[3,5,1,4,2,8,7,6] [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,1,4,5,2,7,6,8]=>[3,5,1,4,2,7,6,8]=>[3,1,4,5,2,7,6,8]=>[3,5,1,4,2,7,6,8] [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,1,4,5,7,2,6,8]=>[3,7,1,4,5,2,6,8]=>[3,1,4,5,7,6,2,8]=>[3,6,1,4,5,7,2,8] [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,6,7,8,5]=>[3,4,1,2,8,6,7,5]=>[3,1,4,2,6,7,8,5]=>[3,4,1,2,8,6,7,5] [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[3,1,4,2,6,7,5,8]=>[3,4,1,2,7,6,5,8]=>[3,1,4,2,6,7,5,8]=>[3,4,1,2,7,6,5,8] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,4,2,6,5,8,7]=>[3,4,1,2,6,5,8,7]=>[3,1,4,2,6,5,8,7]=>[3,4,1,2,6,5,8,7] [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[3,1,4,2,6,8,5,7]=>[3,4,1,2,8,6,5,7]=>[3,1,4,2,6,8,7,5]=>[3,4,1,2,7,6,8,5] [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[3,1,4,2,6,5,7,8]=>[3,4,1,2,6,5,7,8]=>[3,1,4,2,6,5,7,8]=>[3,4,1,2,6,5,7,8] [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,1,4,6,2,7,8,5]=>[3,6,1,4,8,2,7,5]=>[3,1,4,6,2,7,8,5]=>[3,6,1,4,8,2,7,5] [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,1,4,6,7,2,8,5]=>[3,7,1,4,8,6,2,5]=>[3,1,4,6,7,2,8,5]=>[3,7,1,4,8,6,2,5] [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,1,4,6,7,8,2,5]=>[3,8,1,4,2,6,7,5]=>[3,1,4,6,7,8,5,2]=>[3,5,1,4,8,6,7,2] [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,1,4,6,2,5,8,7]=>[3,6,1,4,2,5,8,7]=>[3,1,4,6,5,2,8,7]=>[3,5,1,4,6,2,8,7] [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,1,4,6,2,8,5,7]=>[3,6,1,4,8,2,5,7]=>[3,1,4,6,2,8,7,5]=>[3,6,1,4,7,2,8,5] [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,1,4,6,2,5,7,8]=>[3,6,1,4,2,5,7,8]=>[3,1,4,6,5,2,7,8]=>[3,5,1,4,6,2,7,8] [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,1,4,2,5,7,8,6]=>[3,4,1,2,5,8,7,6]=>[3,1,4,2,5,7,8,6]=>[3,4,1,2,5,8,7,6] [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,1,4,2,7,5,8,6]=>[3,4,1,2,7,8,5,6]=>[3,1,4,2,7,5,8,6]=>[3,4,1,2,7,8,5,6] [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,1,4,2,7,8,5,6]=>[3,4,1,2,8,5,7,6]=>[3,1,4,2,7,8,6,5]=>[3,4,1,2,6,8,7,5] [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,1,4,7,2,5,8,6]=>[3,7,1,4,2,8,5,6]=>[3,1,4,7,5,2,8,6]=>[3,5,1,4,7,8,2,6] [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,1,4,7,2,5,6,8]=>[3,7,1,4,2,5,6,8]=>[3,1,4,7,6,5,2,8]=>[3,5,1,4,6,7,2,8] [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,1,4,2,5,8,6,7]=>[3,4,1,2,5,8,6,7]=>[3,1,4,2,5,8,7,6]=>[3,4,1,2,5,7,8,6] [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,1,4,2,8,5,6,7]=>[3,4,1,2,8,5,6,7]=>[3,1,4,2,8,7,6,5]=>[3,4,1,2,6,7,8,5] [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,1,4,8,2,5,6,7]=>[3,8,1,4,2,5,6,7]=>[3,1,4,8,7,6,5,2]=>[3,5,1,4,6,7,8,2] [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,1,4,2,5,6,7,8]=>[3,4,1,2,5,6,7,8]=>[3,1,4,2,5,6,7,8]=>[3,4,1,2,5,6,7,8] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,4,1,5,6,7,8,2]=>[4,8,3,1,5,6,7,2]=>[3,4,1,5,6,7,8,2]=>[4,8,3,1,5,6,7,2] [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,4,1,5,6,7,2,8]=>[4,7,3,1,5,6,2,8]=>[3,4,1,5,6,7,2,8]=>[4,7,3,1,5,6,2,8] [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,4,1,5,6,2,8,7]=>[4,6,3,1,5,2,8,7]=>[3,4,1,5,6,2,8,7]=>[4,6,3,1,5,2,8,7] [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,4,1,5,6,2,7,8]=>[4,6,3,1,5,2,7,8]=>[3,4,1,5,6,2,7,8]=>[4,6,3,1,5,2,7,8] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,5,2,7,6,8]=>[4,5,3,1,2,7,6,8]=>[3,4,1,5,2,7,6,8]=>[4,5,3,1,2,7,6,8] [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,4,1,5,7,2,8,6]=>[4,7,3,1,5,8,2,6]=>[3,4,1,5,7,2,8,6]=>[4,7,3,1,5,8,2,6] [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,4,1,5,2,8,6,7]=>[4,5,3,1,2,8,6,7]=>[3,4,1,5,2,8,7,6]=>[4,5,3,1,2,7,8,6] [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,4,1,5,2,6,7,8]=>[4,5,3,1,2,6,7,8]=>[3,4,1,5,2,6,7,8]=>[4,5,3,1,2,6,7,8] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,4,5,1,6,7,8,2]=>[5,8,3,4,1,6,7,2]=>[3,4,5,1,6,7,8,2]=>[5,8,3,4,1,6,7,2] [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[3,4,5,1,6,2,8,7]=>[5,6,3,4,1,2,8,7]=>[3,4,5,1,6,2,8,7]=>[5,6,3,4,1,2,8,7] [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[3,4,5,1,6,8,2,7]=>[5,8,3,4,1,6,2,7]=>[3,4,5,1,6,8,7,2]=>[5,7,3,4,1,6,8,2] [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,6,2,7,8]=>[5,6,3,4,1,2,7,8]=>[3,4,5,1,6,2,7,8]=>[5,6,3,4,1,2,7,8] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,4,5,6,1,7,8,2]=>[6,8,3,4,5,1,7,2]=>[3,4,5,6,1,7,8,2]=>[6,8,3,4,5,1,7,2] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,4,5,6,1,7,2,8]=>[6,7,3,4,5,1,2,8]=>[3,4,5,6,1,7,2,8]=>[6,7,3,4,5,1,2,8] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,4,5,6,7,1,8,2]=>[7,8,3,4,5,6,1,2]=>[3,4,5,6,7,1,8,2]=>[7,8,3,4,5,6,1,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,5,6,7,8,1,2]=>[8,1,3,4,5,6,7,2]=>[3,4,5,6,7,8,2,1]=>[2,8,3,4,5,6,7,1] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,4,5,6,7,1,2,8]=>[7,1,3,4,5,6,2,8]=>[3,4,5,6,7,2,1,8]=>[2,7,3,4,5,6,1,8] [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,4,5,6,1,2,8,7]=>[6,1,3,4,5,2,8,7]=>[3,4,5,6,2,1,8,7]=>[2,6,3,4,5,1,8,7] [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,4,5,6,1,2,7,8]=>[6,1,3,4,5,2,7,8]=>[3,4,5,6,2,1,7,8]=>[2,6,3,4,5,1,7,8] [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[3,4,5,1,2,7,8,6]=>[5,1,3,4,2,8,7,6]=>[3,4,5,2,1,7,8,6]=>[2,5,3,4,1,8,7,6] [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,4,5,1,2,7,6,8]=>[5,1,3,4,2,7,6,8]=>[3,4,5,2,1,7,6,8]=>[2,5,3,4,1,7,6,8] [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,4,5,7,1,2,8,6]=>[7,1,3,4,5,8,2,6]=>[3,4,5,7,2,1,8,6]=>[2,7,3,4,5,8,1,6] [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[3,4,5,7,1,8,2,6]=>[7,8,3,4,5,2,1,6]=>[3,4,5,7,1,8,6,2]=>[7,6,3,4,5,8,1,2] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[3,4,5,7,8,1,2,6]=>[8,1,3,4,5,2,7,6]=>[3,4,5,7,8,6,2,1]=>[2,6,3,4,5,8,7,1] [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[3,4,5,1,2,6,8,7]=>[5,1,3,4,2,6,8,7]=>[3,4,5,2,1,6,8,7]=>[2,5,3,4,1,6,8,7] [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,4,5,1,2,8,6,7]=>[5,1,3,4,2,8,6,7]=>[3,4,5,2,1,8,7,6]=>[2,5,3,4,1,7,8,6] [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[3,4,5,1,8,2,6,7]=>[5,8,3,4,1,2,6,7]=>[3,4,5,1,8,7,6,2]=>[5,6,3,4,1,7,8,2] [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,4,5,8,1,2,6,7]=>[8,1,3,4,5,2,6,7]=>[3,4,5,8,7,6,2,1]=>[2,6,3,4,5,7,8,1] [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,1,2,6,7,8]=>[5,1,3,4,2,6,7,8]=>[3,4,5,2,1,6,7,8]=>[2,5,3,4,1,6,7,8] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,4,1,2,6,7,8,5]=>[4,1,3,2,8,6,7,5]=>[3,4,2,1,6,7,8,5]=>[2,4,3,1,8,6,7,5] [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,4,1,2,6,5,8,7]=>[4,1,3,2,6,5,8,7]=>[3,4,2,1,6,5,8,7]=>[2,4,3,1,6,5,8,7] [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,4,1,2,6,8,5,7]=>[4,1,3,2,8,6,5,7]=>[3,4,2,1,6,8,7,5]=>[2,4,3,1,7,6,8,5] [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[3,4,1,6,2,7,8,5]=>[4,6,3,1,8,2,7,5]=>[3,4,1,6,2,7,8,5]=>[4,6,3,1,8,2,7,5] [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,4,1,6,2,7,5,8]=>[4,6,3,1,7,2,5,8]=>[3,4,1,6,2,7,5,8]=>[4,6,3,1,7,2,5,8] [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[3,4,1,6,7,2,8,5]=>[4,7,3,1,8,6,2,5]=>[3,4,1,6,7,2,8,5]=>[4,7,3,1,8,6,2,5] [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,4,1,6,7,8,2,5]=>[4,8,3,1,2,6,7,5]=>[3,4,1,6,7,8,5,2]=>[4,5,3,1,8,6,7,2] [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,4,1,6,2,8,5,7]=>[4,6,3,1,8,2,5,7]=>[3,4,1,6,2,8,7,5]=>[4,6,3,1,7,2,8,5] [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,4,1,6,8,2,5,7]=>[4,8,3,1,2,6,5,7]=>[3,4,1,6,8,7,5,2]=>[4,5,3,1,7,6,8,2] [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,4,6,1,2,7,8,5]=>[6,1,3,4,8,2,7,5]=>[3,4,6,2,1,7,8,5]=>[2,6,3,4,8,1,7,5] [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,4,6,1,2,7,5,8]=>[6,1,3,4,7,2,5,8]=>[3,4,6,2,1,7,5,8]=>[2,6,3,4,7,1,5,8] [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[3,4,6,1,7,2,8,5]=>[6,7,3,4,8,1,2,5]=>[3,4,6,1,7,2,8,5]=>[6,7,3,4,8,1,2,5] [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[3,4,6,1,7,8,2,5]=>[6,8,3,4,2,1,7,5]=>[3,4,6,1,7,8,5,2]=>[6,5,3,4,8,1,7,2] [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,6,7,1,8,2,5]=>[7,8,3,4,2,6,1,5]=>[3,4,6,7,1,8,5,2]=>[7,5,3,4,8,6,1,2] [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,6,7,8,1,2,5]=>[8,1,3,4,2,6,7,5]=>[3,4,6,7,8,5,2,1]=>[2,5,3,4,8,6,7,1] [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,4,6,1,2,5,8,7]=>[6,1,3,4,2,5,8,7]=>[3,4,6,5,2,1,8,7]=>[2,5,3,4,6,1,8,7] [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,4,6,1,8,2,5,7]=>[6,8,3,4,2,1,5,7]=>[3,4,6,1,8,7,5,2]=>[6,5,3,4,7,1,8,2] [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,4,1,2,7,5,8,6]=>[4,1,3,2,7,8,5,6]=>[3,4,2,1,7,5,8,6]=>[2,4,3,1,7,8,5,6] [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[3,4,1,2,7,8,5,6]=>[4,1,3,2,8,5,7,6]=>[3,4,2,1,7,8,6,5]=>[2,4,3,1,6,8,7,5] [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,4,1,7,2,8,5,6]=>[4,7,3,1,8,5,2,6]=>[3,4,1,7,2,8,6,5]=>[4,7,3,1,6,8,2,5] [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,4,1,7,8,2,5,6]=>[4,8,3,1,2,5,7,6]=>[3,4,1,7,8,6,5,2]=>[4,5,3,1,6,8,7,2] [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,4,7,1,2,5,8,6]=>[7,1,3,4,2,8,5,6]=>[3,4,7,5,2,1,8,6]=>[2,5,3,4,7,8,1,6] [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,4,7,1,2,8,5,6]=>[7,1,3,4,8,5,2,6]=>[3,4,7,2,1,8,6,5]=>[2,7,3,4,6,8,1,5] [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,4,7,1,8,2,5,6]=>[7,8,3,4,2,5,1,6]=>[3,4,7,1,8,6,5,2]=>[7,5,3,4,6,8,1,2] [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,7,1,2,5,6,8]=>[7,1,3,4,2,5,6,8]=>[3,4,7,6,5,2,1,8]=>[2,5,3,4,6,7,1,8] [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1,2,5,6,8,7]=>[4,1,3,2,5,6,8,7]=>[3,4,2,1,5,6,8,7]=>[2,4,3,1,5,6,8,7] [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1,2,5,8,6,7]=>[4,1,3,2,5,8,6,7]=>[3,4,2,1,5,8,7,6]=>[2,4,3,1,5,7,8,6] [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1,2,8,5,6,7]=>[4,1,3,2,8,5,6,7]=>[3,4,2,1,8,7,6,5]=>[2,4,3,1,6,7,8,5] [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1,8,2,5,6,7]=>[4,8,3,1,2,5,6,7]=>[3,4,1,8,7,6,5,2]=>[4,5,3,1,6,7,8,2] [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8]=>[4,1,3,2,5,6,7,8]=>[3,4,2,1,5,6,7,8]=>[2,4,3,1,5,6,7,8] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,2,5,6,7,8,4]=>[3,1,2,8,5,6,7,4]=>[3,2,1,5,6,7,8,4]=>[2,3,1,8,5,6,7,4] [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,1,2,5,6,7,4,8]=>[3,1,2,7,5,6,4,8]=>[3,2,1,5,6,7,4,8]=>[2,3,1,7,5,6,4,8] [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,1,2,5,6,8,4,7]=>[3,1,2,8,5,6,4,7]=>[3,2,1,5,6,8,7,4]=>[2,3,1,7,5,6,8,4] [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,1,2,5,6,4,7,8]=>[3,1,2,6,5,4,7,8]=>[3,2,1,5,6,4,7,8]=>[2,3,1,6,5,4,7,8] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,1,2,5,4,7,6,8]=>[3,1,2,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[2,3,1,5,4,7,6,8] [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,1,2,5,7,4,8,6]=>[3,1,2,7,5,8,4,6]=>[3,2,1,5,7,4,8,6]=>[2,3,1,7,5,8,4,6] [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,1,2,5,7,8,4,6]=>[3,1,2,8,5,4,7,6]=>[3,2,1,5,7,8,6,4]=>[2,3,1,6,5,8,7,4] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,1,2,5,7,4,6,8]=>[3,1,2,7,5,4,6,8]=>[3,2,1,5,7,6,4,8]=>[2,3,1,6,5,7,4,8] [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,1,2,5,8,4,6,7]=>[3,1,2,8,5,4,6,7]=>[3,2,1,5,8,7,6,4]=>[2,3,1,6,5,7,8,4] [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,2,5,4,6,7,8]=>[3,1,2,5,4,6,7,8]=>[3,2,1,5,4,6,7,8]=>[2,3,1,5,4,6,7,8] [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,1,5,2,6,7,8,4]=>[3,5,1,8,2,6,7,4]=>[3,1,5,2,6,7,8,4]=>[3,5,1,8,2,6,7,4] [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,5,2,6,4,8,7]=>[3,5,1,6,2,4,8,7]=>[3,1,5,2,6,4,8,7]=>[3,5,1,6,2,4,8,7] [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,1,5,6,2,7,8,4]=>[3,6,1,8,5,2,7,4]=>[3,1,5,6,2,7,8,4]=>[3,6,1,8,5,2,7,4] [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,1,5,6,7,2,8,4]=>[3,7,1,8,5,6,2,4]=>[3,1,5,6,7,2,8,4]=>[3,7,1,8,5,6,2,4] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,5,6,7,8,2,4]=>[3,8,1,2,5,6,7,4]=>[3,1,5,6,7,8,4,2]=>[3,4,1,8,5,6,7,2] [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,1,5,6,2,4,8,7]=>[3,6,1,2,5,4,8,7]=>[3,1,5,6,4,2,8,7]=>[3,4,1,6,5,2,8,7] [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,1,5,6,2,8,4,7]=>[3,6,1,8,5,2,4,7]=>[3,1,5,6,2,8,7,4]=>[3,6,1,7,5,2,8,4] [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,5,6,2,4,7,8]=>[3,6,1,2,5,4,7,8]=>[3,1,5,6,4,2,7,8]=>[3,4,1,6,5,2,7,8] [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,5,2,7,4,8,6]=>[3,5,1,7,2,8,4,6]=>[3,1,5,2,7,4,8,6]=>[3,5,1,7,2,8,4,6] [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,1,5,2,7,8,4,6]=>[3,5,1,8,2,4,7,6]=>[3,1,5,2,7,8,6,4]=>[3,5,1,6,2,8,7,4] [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,1,5,7,2,8,4,6]=>[3,7,1,8,5,4,2,6]=>[3,1,5,7,2,8,6,4]=>[3,7,1,6,5,8,2,4] [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,1,5,7,8,2,4,6]=>[3,8,1,2,5,4,7,6]=>[3,1,5,7,8,6,4,2]=>[3,4,1,6,5,8,7,2] [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,1,5,7,2,4,6,8]=>[3,7,1,2,5,4,6,8]=>[3,1,5,7,6,4,2,8]=>[3,4,1,6,5,7,2,8] [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,1,5,2,8,4,6,7]=>[3,5,1,8,2,4,6,7]=>[3,1,5,2,8,7,6,4]=>[3,5,1,6,2,7,8,4] [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,5,1,2,6,7,8,4]=>[5,1,3,8,2,6,7,4]=>[3,5,2,1,6,7,8,4]=>[2,5,3,8,1,6,7,4] [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,5,1,2,6,8,4,7]=>[5,1,3,8,2,6,4,7]=>[3,5,2,1,6,8,7,4]=>[2,5,3,7,1,6,8,4] [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,5,1,2,6,4,7,8]=>[5,1,3,6,2,4,7,8]=>[3,5,2,1,6,4,7,8]=>[2,5,3,6,1,4,7,8] [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,5,1,6,2,7,8,4]=>[5,6,3,8,1,2,7,4]=>[3,5,1,6,2,7,8,4]=>[5,6,3,8,1,2,7,4] [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,5,1,6,2,7,4,8]=>[5,6,3,7,1,2,4,8]=>[3,5,1,6,2,7,4,8]=>[5,6,3,7,1,2,4,8] [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,5,1,6,7,2,8,4]=>[5,7,3,8,1,6,2,4]=>[3,5,1,6,7,2,8,4]=>[5,7,3,8,1,6,2,4] [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,5,1,6,7,8,2,4]=>[5,8,3,2,1,6,7,4]=>[3,5,1,6,7,8,4,2]=>[5,4,3,8,1,6,7,2] [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,5,1,6,7,2,4,8]=>[5,7,3,2,1,6,4,8]=>[3,5,1,6,7,4,2,8]=>[5,4,3,7,1,6,2,8] [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,5,1,6,2,4,8,7]=>[5,6,3,2,1,4,8,7]=>[3,5,1,6,4,2,8,7]=>[5,4,3,6,1,2,8,7] [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,5,1,6,2,8,4,7]=>[5,6,3,8,1,2,4,7]=>[3,5,1,6,2,8,7,4]=>[5,6,3,7,1,2,8,4] [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,5,1,6,2,4,7,8]=>[5,6,3,2,1,4,7,8]=>[3,5,1,6,4,2,7,8]=>[5,4,3,6,1,2,7,8] [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,5,6,1,2,7,8,4]=>[6,1,3,8,5,2,7,4]=>[3,5,6,2,1,7,8,4]=>[2,6,3,8,5,1,7,4] [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,5,6,1,2,7,4,8]=>[6,1,3,7,5,2,4,8]=>[3,5,6,2,1,7,4,8]=>[2,6,3,7,5,1,4,8] [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,5,6,1,7,2,8,4]=>[6,7,3,8,5,1,2,4]=>[3,5,6,1,7,2,8,4]=>[6,7,3,8,5,1,2,4] [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,5,6,1,7,8,2,4]=>[6,8,3,2,5,1,7,4]=>[3,5,6,1,7,8,4,2]=>[6,4,3,8,5,1,7,2] [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,5,6,1,7,2,4,8]=>[6,7,3,2,5,1,4,8]=>[3,5,6,1,7,4,2,8]=>[6,4,3,7,5,1,2,8] [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,5,6,7,1,8,2,4]=>[7,8,3,2,5,6,1,4]=>[3,5,6,7,1,8,4,2]=>[7,4,3,8,5,6,1,2] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,5,6,7,8,1,2,4]=>[8,1,3,2,5,6,7,4]=>[3,5,6,7,8,4,2,1]=>[2,4,3,8,5,6,7,1] [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,5,6,7,1,2,4,8]=>[7,1,3,2,5,6,4,8]=>[3,5,6,7,4,2,1,8]=>[2,4,3,7,5,6,1,8] [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,5,6,1,2,4,8,7]=>[6,1,3,2,5,4,8,7]=>[3,5,6,4,2,1,8,7]=>[2,4,3,6,5,1,8,7] [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,5,6,1,2,8,4,7]=>[6,1,3,8,5,2,4,7]=>[3,5,6,2,1,8,7,4]=>[2,6,3,7,5,1,8,4] [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,5,6,1,8,2,4,7]=>[6,8,3,2,5,1,4,7]=>[3,5,6,1,8,7,4,2]=>[6,4,3,7,5,1,8,2] [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,5,6,8,1,2,4,7]=>[8,1,3,2,5,6,4,7]=>[3,5,6,8,7,4,2,1]=>[2,4,3,7,5,6,8,1] [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,5,1,2,4,7,8,6]=>[5,1,3,2,4,8,7,6]=>[3,5,4,2,1,7,8,6]=>[2,4,3,5,1,8,7,6] [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,5,1,2,4,7,6,8]=>[5,1,3,2,4,7,6,8]=>[3,5,4,2,1,7,6,8]=>[2,4,3,5,1,7,6,8] [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,5,1,2,7,4,8,6]=>[5,1,3,7,2,8,4,6]=>[3,5,2,1,7,4,8,6]=>[2,5,3,7,1,8,4,6] [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,5,1,2,7,8,4,6]=>[5,1,3,8,2,4,7,6]=>[3,5,2,1,7,8,6,4]=>[2,5,3,6,1,8,7,4] [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,5,1,7,2,8,4,6]=>[5,7,3,8,1,4,2,6]=>[3,5,1,7,2,8,6,4]=>[5,7,3,6,1,8,2,4] [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,5,1,7,8,2,4,6]=>[5,8,3,2,1,4,7,6]=>[3,5,1,7,8,6,4,2]=>[5,4,3,6,1,8,7,2] [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,5,1,7,2,4,6,8]=>[5,7,3,2,1,4,6,8]=>[3,5,1,7,6,4,2,8]=>[5,4,3,6,1,7,2,8] [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,5,7,1,2,4,8,6]=>[7,1,3,2,5,8,4,6]=>[3,5,7,4,2,1,8,6]=>[2,4,3,7,5,8,1,6] [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,5,7,1,2,8,4,6]=>[7,1,3,8,5,4,2,6]=>[3,5,7,2,1,8,6,4]=>[2,7,3,6,5,8,1,4] [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,5,7,1,8,2,4,6]=>[7,8,3,2,5,4,1,6]=>[3,5,7,1,8,6,4,2]=>[7,4,3,6,5,8,1,2] [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,5,7,8,1,2,4,6]=>[8,1,3,2,5,4,7,6]=>[3,5,7,8,6,4,2,1]=>[2,4,3,6,5,8,7,1] [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,5,7,1,2,4,6,8]=>[7,1,3,2,5,4,6,8]=>[3,5,7,6,4,2,1,8]=>[2,4,3,6,5,7,1,8] [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,5,1,2,4,6,8,7]=>[5,1,3,2,4,6,8,7]=>[3,5,4,2,1,6,8,7]=>[2,4,3,5,1,6,8,7] [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,5,1,2,4,8,6,7]=>[5,1,3,2,4,8,6,7]=>[3,5,4,2,1,8,7,6]=>[2,4,3,5,1,7,8,6] [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,5,1,2,8,4,6,7]=>[5,1,3,8,2,4,6,7]=>[3,5,2,1,8,7,6,4]=>[2,5,3,6,1,7,8,4] [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,5,8,1,2,4,6,7]=>[8,1,3,2,5,4,6,7]=>[3,5,8,7,6,4,2,1]=>[2,4,3,6,5,7,8,1] [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,5,1,2,4,6,7,8]=>[5,1,3,2,4,6,7,8]=>[3,5,4,2,1,6,7,8]=>[2,4,3,5,1,6,7,8] [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[3,1,2,4,6,7,8,5]=>[3,1,2,4,8,6,7,5]=>[3,2,1,4,6,7,8,5]=>[2,3,1,4,8,6,7,5] [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[3,1,2,4,6,8,5,7]=>[3,1,2,4,8,6,5,7]=>[3,2,1,4,6,8,7,5]=>[2,3,1,4,7,6,8,5] [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[3,1,2,6,4,7,8,5]=>[3,1,2,6,8,4,7,5]=>[3,2,1,6,4,7,8,5]=>[2,3,1,6,8,4,7,5] [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[3,1,2,6,4,7,5,8]=>[3,1,2,6,7,4,5,8]=>[3,2,1,6,4,7,5,8]=>[2,3,1,6,7,4,5,8] [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[3,1,2,6,7,4,8,5]=>[3,1,2,7,8,6,4,5]=>[3,2,1,6,7,4,8,5]=>[2,3,1,7,8,6,4,5] [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,1,2,6,7,8,4,5]=>[3,1,2,8,4,6,7,5]=>[3,2,1,6,7,8,5,4]=>[2,3,1,5,8,6,7,4] [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,1,2,6,4,5,8,7]=>[3,1,2,6,4,5,8,7]=>[3,2,1,6,5,4,8,7]=>[2,3,1,5,6,4,8,7] [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,1,2,6,4,5,7,8]=>[3,1,2,6,4,5,7,8]=>[3,2,1,6,5,4,7,8]=>[2,3,1,5,6,4,7,8] [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[3,1,6,2,7,4,8,5]=>[3,6,1,7,8,2,4,5]=>[3,1,6,2,7,4,8,5]=>[3,6,1,7,8,2,4,5] [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[3,1,6,7,2,8,4,5]=>[3,7,1,8,4,6,2,5]=>[3,1,6,7,2,8,5,4]=>[3,7,1,5,8,6,2,4] [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,1,6,2,4,5,8,7]=>[3,6,1,2,4,5,8,7]=>[3,1,6,5,4,2,8,7]=>[3,4,1,5,6,2,8,7] [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,1,6,2,8,4,5,7]=>[3,6,1,8,4,2,5,7]=>[3,1,6,2,8,7,5,4]=>[3,6,1,5,7,2,8,4] [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,1,6,8,2,4,5,7]=>[3,8,1,2,4,6,5,7]=>[3,1,6,8,7,5,4,2]=>[3,4,1,5,7,6,8,2] [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,1,6,2,4,5,7,8]=>[3,6,1,2,4,5,7,8]=>[3,1,6,5,4,2,7,8]=>[3,4,1,5,6,2,7,8] [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[3,6,1,2,4,7,8,5]=>[6,1,3,2,8,4,7,5]=>[3,6,4,2,1,7,8,5]=>[2,4,3,6,8,1,7,5] [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,6,1,2,4,7,5,8]=>[6,1,3,2,7,4,5,8]=>[3,6,4,2,1,7,5,8]=>[2,4,3,6,7,1,5,8] [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[3,6,1,2,7,4,8,5]=>[6,1,3,7,8,2,4,5]=>[3,6,2,1,7,4,8,5]=>[2,6,3,7,8,1,4,5] [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[3,6,1,2,7,8,4,5]=>[6,1,3,8,4,2,7,5]=>[3,6,2,1,7,8,5,4]=>[2,6,3,5,8,1,7,4] [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,6,1,2,7,4,5,8]=>[6,1,3,7,4,2,5,8]=>[3,6,2,1,7,5,4,8]=>[2,6,3,5,7,1,4,8] [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[3,6,1,7,8,2,4,5]=>[6,8,3,2,4,1,7,5]=>[3,6,1,7,8,5,4,2]=>[6,4,3,5,8,1,7,2] [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,6,1,7,2,4,5,8]=>[6,7,3,2,4,1,5,8]=>[3,6,1,7,5,4,2,8]=>[6,4,3,5,7,1,2,8] [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[3,6,7,1,2,8,4,5]=>[7,1,3,8,4,6,2,5]=>[3,6,7,2,1,8,5,4]=>[2,7,3,5,8,6,1,4] [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[3,6,7,1,8,2,4,5]=>[7,8,3,2,4,6,1,5]=>[3,6,7,1,8,5,4,2]=>[7,4,3,5,8,6,1,2] [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,6,1,2,4,5,8,7]=>[6,1,3,2,4,5,8,7]=>[3,6,5,4,2,1,8,7]=>[2,4,3,5,6,1,8,7] [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,6,1,8,2,4,5,7]=>[6,8,3,2,4,1,5,7]=>[3,6,1,8,7,5,4,2]=>[6,4,3,5,7,1,8,2] [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,6,8,1,2,4,5,7]=>[8,1,3,2,4,6,5,7]=>[3,6,8,7,5,4,2,1]=>[2,4,3,5,7,6,8,1] [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,1,2,4,5,7,6,8]=>[3,1,2,4,5,7,6,8]=>[3,2,1,4,5,7,6,8]=>[2,3,1,4,5,7,6,8] [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,1,2,4,7,5,8,6]=>[3,1,2,4,7,8,5,6]=>[3,2,1,4,7,5,8,6]=>[2,3,1,4,7,8,5,6] [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,1,2,4,7,8,5,6]=>[3,1,2,4,8,5,7,6]=>[3,2,1,4,7,8,6,5]=>[2,3,1,4,6,8,7,5] [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,1,2,4,7,5,6,8]=>[3,1,2,4,7,5,6,8]=>[3,2,1,4,7,6,5,8]=>[2,3,1,4,6,7,5,8] [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[3,1,2,7,4,5,8,6]=>[3,1,2,7,4,8,5,6]=>[3,2,1,7,5,4,8,6]=>[2,3,1,5,7,8,4,6] [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,1,2,7,8,4,5,6]=>[3,1,2,8,4,5,7,6]=>[3,2,1,7,8,6,5,4]=>[2,3,1,5,6,8,7,4] [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,1,2,7,4,5,6,8]=>[3,1,2,7,4,5,6,8]=>[3,2,1,7,6,5,4,8]=>[2,3,1,5,6,7,4,8] [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,1,7,2,4,5,8,6]=>[3,7,1,2,4,8,5,6]=>[3,1,7,5,4,2,8,6]=>[3,4,1,5,7,8,2,6] [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,1,7,2,4,8,5,6]=>[3,7,1,2,8,5,4,6]=>[3,1,7,4,2,8,6,5]=>[3,4,1,7,6,8,2,5] [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,1,7,2,4,5,6,8]=>[3,7,1,2,4,5,6,8]=>[3,1,7,6,5,4,2,8]=>[3,4,1,5,6,7,2,8] [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,7,1,2,4,5,8,6]=>[7,1,3,2,4,8,5,6]=>[3,7,5,4,2,1,8,6]=>[2,4,3,5,7,8,1,6] [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,7,1,2,4,8,5,6]=>[7,1,3,2,8,5,4,6]=>[3,7,4,2,1,8,6,5]=>[2,4,3,7,6,8,1,5] [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,7,1,8,2,4,5,6]=>[7,8,3,2,4,5,1,6]=>[3,7,1,8,6,5,4,2]=>[7,4,3,5,6,8,1,2] [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,7,8,1,2,4,5,6]=>[8,1,3,2,4,5,7,6]=>[3,7,8,6,5,4,2,1]=>[2,4,3,5,6,8,7,1] [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,8,7]=>[3,1,2,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]=>[2,3,1,4,5,6,8,7] [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,1,2,4,5,8,6,7]=>[3,1,2,4,5,8,6,7]=>[3,2,1,4,5,8,7,6]=>[2,3,1,4,5,7,8,6] [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,1,2,4,8,5,6,7]=>[3,1,2,4,8,5,6,7]=>[3,2,1,4,8,7,6,5]=>[2,3,1,4,6,7,8,5] [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,1,2,8,4,5,6,7]=>[3,1,2,8,4,5,6,7]=>[3,2,1,8,7,6,5,4]=>[2,3,1,5,6,7,8,4] [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,8,2,4,5,6,7]=>[3,8,1,2,4,5,6,7]=>[3,1,8,7,6,5,4,2]=>[3,4,1,5,6,7,8,2] [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,8,1,2,4,5,6,7]=>[8,1,3,2,4,5,6,7]=>[3,8,7,6,5,4,2,1]=>[2,4,3,5,6,7,8,1] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[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] [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[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] [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,6,8,3,7]=>[1,2,8,4,5,6,3,7]=>[1,2,4,5,6,8,7,3]=>[1,2,7,4,5,6,8,3] [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[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] [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[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] [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[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] [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,7,3,8,6]=>[1,2,7,4,5,8,3,6]=>[1,2,4,5,7,3,8,6]=>[1,2,7,4,5,8,3,6] [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,7,8,3,6]=>[1,2,8,4,5,3,7,6]=>[1,2,4,5,7,8,6,3]=>[1,2,6,4,5,8,7,3] [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>[1,2,4,5,3,8,7,6]=>[1,2,5,4,3,7,8,6] [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,4,5,8,3,6,7]=>[1,2,8,4,5,3,6,7]=>[1,2,4,5,8,7,6,3]=>[1,2,6,4,5,7,8,3] [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[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] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[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] [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[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] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[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] [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,8,5,7]=>[1,2,4,3,8,6,5,7]=>[1,2,4,3,6,8,7,5]=>[1,2,4,3,7,6,8,5] [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[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] [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,6,3,7,8,5]=>[1,2,6,4,8,3,7,5]=>[1,2,4,6,3,7,8,5]=>[1,2,6,4,8,3,7,5] [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8] [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,6,7,3,8,5]=>[1,2,7,4,8,6,3,5]=>[1,2,4,6,7,3,8,5]=>[1,2,7,4,8,6,3,5] [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,6,7,8,3,5]=>[1,2,8,4,3,6,7,5]=>[1,2,4,6,7,8,5,3]=>[1,2,5,4,8,6,7,3] [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,6,7,3,5,8]=>[1,2,7,4,3,6,5,8]=>[1,2,4,6,7,5,3,8]=>[1,2,5,4,7,6,3,8] [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,3,8,5,7]=>[1,2,6,4,8,3,5,7]=>[1,2,4,6,3,8,7,5]=>[1,2,6,4,7,3,8,5] [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,6,8,3,5,7]=>[1,2,8,4,3,6,5,7]=>[1,2,4,6,8,7,5,3]=>[1,2,5,4,7,6,8,3] [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]=>[1,2,4,6,5,3,7,8]=>[1,2,5,4,6,3,7,8] [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[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] [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[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] [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6] [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,5,7,6]=>[1,2,4,3,7,8,6,5]=>[1,2,4,3,6,8,7,5] [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]=>[1,2,4,7,3,8,6,5]=>[1,2,7,4,6,8,3,5] [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,4,7,8,3,5,6]=>[1,2,8,4,3,5,7,6]=>[1,2,4,7,8,6,5,3]=>[1,2,5,4,6,8,7,3] [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[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] [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,7,6]=>[1,2,4,3,5,7,8,6] [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,6,7,8,5] [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[1,2,4,8,7,6,5,3]=>[1,2,5,4,6,7,8,3] [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[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] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,4,2,5,6,7,8,3]=>[1,4,8,2,5,6,7,3]=>[1,4,2,5,6,7,8,3]=>[1,4,8,2,5,6,7,3] [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,4,2,5,6,7,3,8]=>[1,4,7,2,5,6,3,8]=>[1,4,2,5,6,7,3,8]=>[1,4,7,2,5,6,3,8] [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,4,2,5,6,8,3,7]=>[1,4,8,2,5,6,3,7]=>[1,4,2,5,6,8,7,3]=>[1,4,7,2,5,6,8,3] [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,4,2,5,3,7,8,6]=>[1,4,5,2,3,8,7,6]=>[1,4,2,5,3,7,8,6]=>[1,4,5,2,3,8,7,6] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8] [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,4,2,5,7,3,8,6]=>[1,4,7,2,5,8,3,6]=>[1,4,2,5,7,3,8,6]=>[1,4,7,2,5,8,3,6] [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]=>[1,4,2,5,7,6,3,8]=>[1,4,6,2,5,7,3,8] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[1,4,2,5,3,8,7,6]=>[1,4,5,2,3,7,8,6] [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,4,2,5,8,3,6,7]=>[1,4,8,2,5,3,6,7]=>[1,4,2,5,8,7,6,3]=>[1,4,6,2,5,7,8,3] [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8] [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,4,5,2,6,7,8,3]=>[1,5,8,4,2,6,7,3]=>[1,4,5,2,6,7,8,3]=>[1,5,8,4,2,6,7,3] [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,4,5,2,6,7,3,8]=>[1,5,7,4,2,6,3,8]=>[1,4,5,2,6,7,3,8]=>[1,5,7,4,2,6,3,8] [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,4,5,2,6,3,8,7]=>[1,5,6,4,2,3,8,7]=>[1,4,5,2,6,3,8,7]=>[1,5,6,4,2,3,8,7] [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,4,5,2,6,8,3,7]=>[1,5,8,4,2,6,3,7]=>[1,4,5,2,6,8,7,3]=>[1,5,7,4,2,6,8,3] [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,4,5,2,6,3,7,8]=>[1,5,6,4,2,3,7,8]=>[1,4,5,2,6,3,7,8]=>[1,5,6,4,2,3,7,8] [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,4,5,6,2,7,8,3]=>[1,6,8,4,5,2,7,3]=>[1,4,5,6,2,7,8,3]=>[1,6,8,4,5,2,7,3] [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8] [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,4,5,6,7,2,8,3]=>[1,7,8,4,5,6,2,3]=>[1,4,5,6,7,2,8,3]=>[1,7,8,4,5,6,2,3] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,5,6,7,8,2,3]=>[1,8,2,4,5,6,7,3]=>[1,4,5,6,7,8,3,2]=>[1,3,8,4,5,6,7,2] [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,4,5,6,2,3,7,8]=>[1,6,2,4,5,3,7,8]=>[1,4,5,6,3,2,7,8]=>[1,3,6,4,5,2,7,8] [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,4,5,2,3,7,8,6]=>[1,5,2,4,3,8,7,6]=>[1,4,5,3,2,7,8,6]=>[1,3,5,4,2,8,7,6] [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,4,5,2,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>[1,4,5,3,2,7,6,8]=>[1,3,5,4,2,7,6,8] [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,4,5,2,7,3,8,6]=>[1,5,7,4,2,8,3,6]=>[1,4,5,2,7,3,8,6]=>[1,5,7,4,2,8,3,6] [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,4,5,7,2,3,8,6]=>[1,7,2,4,5,8,3,6]=>[1,4,5,7,3,2,8,6]=>[1,3,7,4,5,8,2,6] [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,4,5,7,8,2,3,6]=>[1,8,2,4,5,3,7,6]=>[1,4,5,7,8,6,3,2]=>[1,3,6,4,5,8,7,2] [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[1,4,5,3,2,8,7,6]=>[1,3,5,4,2,7,8,6] [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>[1,4,5,2,8,7,6,3]=>[1,5,6,4,2,7,8,3] [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,4,5,8,2,3,6,7]=>[1,8,2,4,5,3,6,7]=>[1,4,5,8,7,6,3,2]=>[1,3,6,4,5,7,8,2] [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[1,4,5,3,2,6,7,8]=>[1,3,5,4,2,6,7,8] [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,2,3,6,7,8,5]=>[1,4,2,3,8,6,7,5]=>[1,4,3,2,6,7,8,5]=>[1,3,4,2,8,6,7,5] [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,2,3,6,7,5,8]=>[1,4,2,3,7,6,5,8]=>[1,4,3,2,6,7,5,8]=>[1,3,4,2,7,6,5,8] [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,2,3,6,8,5,7]=>[1,4,2,3,8,6,5,7]=>[1,4,3,2,6,8,7,5]=>[1,3,4,2,7,6,8,5] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8] [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,6,7,8,3,5]=>[1,4,8,2,3,6,7,5]=>[1,4,2,6,7,8,5,3]=>[1,4,5,2,8,6,7,3] [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,2,6,7,3,5,8]=>[1,4,7,2,3,6,5,8]=>[1,4,2,6,7,5,3,8]=>[1,4,5,2,7,6,3,8] [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,2,6,3,5,8,7]=>[1,4,6,2,3,5,8,7]=>[1,4,2,6,5,3,8,7]=>[1,4,5,2,6,3,8,7] [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,2,6,8,3,5,7]=>[1,4,8,2,3,6,5,7]=>[1,4,2,6,8,7,5,3]=>[1,4,5,2,7,6,8,3] [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,4,6,2,3,7,8,5]=>[1,6,2,4,8,3,7,5]=>[1,4,6,3,2,7,8,5]=>[1,3,6,4,8,2,7,5] [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,4,6,2,3,7,5,8]=>[1,6,2,4,7,3,5,8]=>[1,4,6,3,2,7,5,8]=>[1,3,6,4,7,2,5,8] [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,4,6,2,7,3,8,5]=>[1,6,7,4,8,2,3,5]=>[1,4,6,2,7,3,8,5]=>[1,6,7,4,8,2,3,5] [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,6,2,7,8,3,5]=>[1,6,8,4,3,2,7,5]=>[1,4,6,2,7,8,5,3]=>[1,6,5,4,8,2,7,3] [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,6,2,7,3,5,8]=>[1,6,7,4,3,2,5,8]=>[1,4,6,2,7,5,3,8]=>[1,6,5,4,7,2,3,8] [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,4,6,7,2,3,8,5]=>[1,7,2,4,8,6,3,5]=>[1,4,6,7,3,2,8,5]=>[1,3,7,4,8,6,2,5] [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,6,7,2,8,3,5]=>[1,7,8,4,3,6,2,5]=>[1,4,6,7,2,8,5,3]=>[1,7,5,4,8,6,2,3] [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,4,6,7,2,3,5,8]=>[1,7,2,4,3,6,5,8]=>[1,4,6,7,5,3,2,8]=>[1,3,5,4,7,6,2,8] [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[1,4,6,3,2,8,7,5]=>[1,3,6,4,7,2,8,5] [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,6,2,8,3,5,7]=>[1,6,8,4,3,2,5,7]=>[1,4,6,2,8,7,5,3]=>[1,6,5,4,7,2,8,3] [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>[1,4,6,8,7,5,3,2]=>[1,3,5,4,7,6,8,2] [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>[1,4,6,5,3,2,7,8]=>[1,3,5,4,6,2,7,8] [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>[1,4,3,2,5,7,8,6]=>[1,3,4,2,5,8,7,6] [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[1,3,4,2,5,7,6,8] [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[1,4,3,2,7,5,8,6]=>[1,3,4,2,7,8,5,6] [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[1,4,3,2,7,6,5,8]=>[1,3,4,2,6,7,5,8] [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]=>[1,4,2,7,5,3,8,6]=>[1,4,5,2,7,8,3,6] [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[1,4,2,7,3,8,6,5]=>[1,4,7,2,6,8,3,5] [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>[1,4,2,7,8,6,5,3]=>[1,4,5,2,6,8,7,3] [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>[1,4,7,5,3,2,8,6]=>[1,3,5,4,7,8,2,6] [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,4,7,2,3,8,5,6]=>[1,7,2,4,8,5,3,6]=>[1,4,7,3,2,8,6,5]=>[1,3,7,4,6,8,2,5] [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,4,7,8,2,3,5,6]=>[1,8,2,4,3,5,7,6]=>[1,4,7,8,6,5,3,2]=>[1,3,5,4,6,8,7,2] [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[1,4,7,6,5,3,2,8]=>[1,3,5,4,6,7,2,8] [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[1,4,3,2,5,6,8,7]=>[1,3,4,2,5,6,8,7] [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[1,4,3,2,5,8,7,6]=>[1,3,4,2,5,7,8,6] [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[1,4,3,2,8,7,6,5]=>[1,3,4,2,6,7,8,5] [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[1,4,2,8,7,6,5,3]=>[1,4,5,2,6,7,8,3] [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[1,4,8,7,6,5,3,2]=>[1,3,5,4,6,7,8,2] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[1,3,4,2,5,6,7,8] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,2,5,6,7,8,3]=>[4,1,8,2,5,6,7,3]=>[4,2,1,5,6,7,8,3]=>[2,4,8,1,5,6,7,3] [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[4,1,2,5,6,7,3,8]=>[4,1,7,2,5,6,3,8]=>[4,2,1,5,6,7,3,8]=>[2,4,7,1,5,6,3,8] [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,2,5,6,3,8,7]=>[4,1,6,2,5,3,8,7]=>[4,2,1,5,6,3,8,7]=>[2,4,6,1,5,3,8,7] [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[4,1,2,5,6,8,3,7]=>[4,1,8,2,5,6,3,7]=>[4,2,1,5,6,8,7,3]=>[2,4,7,1,5,6,8,3] [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,1,2,5,6,3,7,8]=>[4,1,6,2,5,3,7,8]=>[4,2,1,5,6,3,7,8]=>[2,4,6,1,5,3,7,8] [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[4,1,2,5,3,7,8,6]=>[4,1,5,2,3,8,7,6]=>[4,2,1,5,3,7,8,6]=>[2,4,5,1,3,8,7,6] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[4,1,2,5,3,7,6,8]=>[4,1,5,2,3,7,6,8]=>[4,2,1,5,3,7,6,8]=>[2,4,5,1,3,7,6,8] [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[4,1,2,5,7,3,8,6]=>[4,1,7,2,5,8,3,6]=>[4,2,1,5,7,3,8,6]=>[2,4,7,1,5,8,3,6] [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[4,1,2,5,7,8,3,6]=>[4,1,8,2,5,3,7,6]=>[4,2,1,5,7,8,6,3]=>[2,4,6,1,5,8,7,3] [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[4,1,2,5,7,3,6,8]=>[4,1,7,2,5,3,6,8]=>[4,2,1,5,7,6,3,8]=>[2,4,6,1,5,7,3,8] [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,1,2,5,3,6,7,8]=>[4,1,5,2,3,6,7,8]=>[4,2,1,5,3,6,7,8]=>[2,4,5,1,3,6,7,8] [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,5,2,6,7,8,3]=>[4,5,8,1,2,6,7,3]=>[4,1,5,2,6,7,8,3]=>[4,5,8,1,2,6,7,3] [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[4,1,5,2,6,3,8,7]=>[4,5,6,1,2,3,8,7]=>[4,1,5,2,6,3,8,7]=>[4,5,6,1,2,3,8,7] [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[4,1,5,2,6,8,3,7]=>[4,5,8,1,2,6,3,7]=>[4,1,5,2,6,8,7,3]=>[4,5,7,1,2,6,8,3] [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[4,1,5,2,6,3,7,8]=>[4,5,6,1,2,3,7,8]=>[4,1,5,2,6,3,7,8]=>[4,5,6,1,2,3,7,8] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[4,1,5,6,7,8,2,3]=>[4,8,2,1,5,6,7,3]=>[4,1,5,6,7,8,3,2]=>[4,3,8,1,5,6,7,2] [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,5,6,2,3,8,7]=>[4,6,2,1,5,3,8,7]=>[4,1,5,6,3,2,8,7]=>[4,3,6,1,5,2,8,7] [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[4,1,5,6,8,2,3,7]=>[4,8,2,1,5,6,3,7]=>[4,1,5,6,8,7,3,2]=>[4,3,7,1,5,6,8,2] [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,5,6,2,3,7,8]=>[4,6,2,1,5,3,7,8]=>[4,1,5,6,3,2,7,8]=>[4,3,6,1,5,2,7,8] [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3,7,8,6]=>[4,5,2,1,3,8,7,6]=>[4,1,5,3,2,7,8,6]=>[4,3,5,1,2,8,7,6] [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[4,1,5,2,3,7,6,8]=>[4,5,2,1,3,7,6,8]=>[4,1,5,3,2,7,6,8]=>[4,3,5,1,2,7,6,8] [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[4,1,5,2,7,3,8,6]=>[4,5,7,1,2,8,3,6]=>[4,1,5,2,7,3,8,6]=>[4,5,7,1,2,8,3,6] [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[4,1,5,2,7,3,6,8]=>[4,5,7,1,2,3,6,8]=>[4,1,5,2,7,6,3,8]=>[4,5,6,1,2,7,3,8] [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[4,1,5,7,2,3,8,6]=>[4,7,2,1,5,8,3,6]=>[4,1,5,7,3,2,8,6]=>[4,3,7,1,5,8,2,6] [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[4,1,5,7,8,2,3,6]=>[4,8,2,1,5,3,7,6]=>[4,1,5,7,8,6,3,2]=>[4,3,6,1,5,8,7,2] [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[4,1,5,7,2,3,6,8]=>[4,7,2,1,5,3,6,8]=>[4,1,5,7,6,3,2,8]=>[4,3,6,1,5,7,2,8] [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[4,1,5,2,3,8,6,7]=>[4,5,2,1,3,8,6,7]=>[4,1,5,3,2,8,7,6]=>[4,3,5,1,2,7,8,6] [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[4,1,5,2,8,3,6,7]=>[4,5,8,1,2,3,6,7]=>[4,1,5,2,8,7,6,3]=>[4,5,6,1,2,7,8,3] [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[4,1,5,8,2,3,6,7]=>[4,8,2,1,5,3,6,7]=>[4,1,5,8,7,6,3,2]=>[4,3,6,1,5,7,8,2] [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,5,1,2,6,7,3,8]=>[5,1,7,4,2,6,3,8]=>[4,5,2,1,6,7,3,8]=>[2,5,7,4,1,6,3,8] [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,5,1,2,6,3,8,7]=>[5,1,6,4,2,3,8,7]=>[4,5,2,1,6,3,8,7]=>[2,5,6,4,1,3,8,7] [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,5,1,2,6,8,3,7]=>[5,1,8,4,2,6,3,7]=>[4,5,2,1,6,8,7,3]=>[2,5,7,4,1,6,8,3] [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[4,5,1,6,2,7,8,3]=>[5,6,8,4,1,2,7,3]=>[4,5,1,6,2,7,8,3]=>[5,6,8,4,1,2,7,3] [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[4,5,1,6,2,7,3,8]=>[5,6,7,4,1,2,3,8]=>[4,5,1,6,2,7,3,8]=>[5,6,7,4,1,2,3,8] [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[4,5,1,6,7,2,8,3]=>[5,7,8,4,1,6,2,3]=>[4,5,1,6,7,2,8,3]=>[5,7,8,4,1,6,2,3] [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[4,5,1,6,7,8,2,3]=>[5,8,2,4,1,6,7,3]=>[4,5,1,6,7,8,3,2]=>[5,3,8,4,1,6,7,2] [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[4,5,1,6,7,2,3,8]=>[5,7,2,4,1,6,3,8]=>[4,5,1,6,7,3,2,8]=>[5,3,7,4,1,6,2,8] [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[4,5,1,6,2,3,8,7]=>[5,6,2,4,1,3,8,7]=>[4,5,1,6,3,2,8,7]=>[5,3,6,4,1,2,8,7] [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[4,5,1,6,2,8,3,7]=>[5,6,8,4,1,2,3,7]=>[4,5,1,6,2,8,7,3]=>[5,6,7,4,1,2,8,3] [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[4,5,1,6,8,2,3,7]=>[5,8,2,4,1,6,3,7]=>[4,5,1,6,8,7,3,2]=>[5,3,7,4,1,6,8,2] [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[4,5,1,6,2,3,7,8]=>[5,6,2,4,1,3,7,8]=>[4,5,1,6,3,2,7,8]=>[5,3,6,4,1,2,7,8] [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[4,5,6,1,2,7,8,3]=>[6,1,8,4,5,2,7,3]=>[4,5,6,2,1,7,8,3]=>[2,6,8,4,5,1,7,3] [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[4,5,6,1,2,7,3,8]=>[6,1,7,4,5,2,3,8]=>[4,5,6,2,1,7,3,8]=>[2,6,7,4,5,1,3,8] [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[4,5,6,1,7,2,8,3]=>[6,7,8,4,5,1,2,3]=>[4,5,6,1,7,2,8,3]=>[6,7,8,4,5,1,2,3] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[4,5,6,1,7,8,2,3]=>[6,8,2,4,5,1,7,3]=>[4,5,6,1,7,8,3,2]=>[6,3,8,4,5,1,7,2] [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[4,5,6,1,7,2,3,8]=>[6,7,2,4,5,1,3,8]=>[4,5,6,1,7,3,2,8]=>[6,3,7,4,5,1,2,8] [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,5,6,7,1,2,8,3]=>[7,1,8,4,5,6,2,3]=>[4,5,6,7,2,1,8,3]=>[2,7,8,4,5,6,1,3] [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[4,5,6,7,1,8,2,3]=>[7,8,2,4,5,6,1,3]=>[4,5,6,7,1,8,3,2]=>[7,3,8,4,5,6,1,2] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[4,5,6,7,8,1,2,3]=>[8,1,2,4,5,6,7,3]=>[4,5,6,7,8,3,2,1]=>[2,3,8,4,5,6,7,1] [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[4,5,6,7,1,2,3,8]=>[7,1,2,4,5,6,3,8]=>[4,5,6,7,3,2,1,8]=>[2,3,7,4,5,6,1,8] [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[4,5,6,1,2,3,8,7]=>[6,1,2,4,5,3,8,7]=>[4,5,6,3,2,1,8,7]=>[2,3,6,4,5,1,8,7] [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[4,5,6,1,2,8,3,7]=>[6,1,8,4,5,2,3,7]=>[4,5,6,2,1,8,7,3]=>[2,6,7,4,5,1,8,3] [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[4,5,6,1,8,2,3,7]=>[6,8,2,4,5,1,3,7]=>[4,5,6,1,8,7,3,2]=>[6,3,7,4,5,1,8,2] [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[4,5,6,8,1,2,3,7]=>[8,1,2,4,5,6,3,7]=>[4,5,6,8,7,3,2,1]=>[2,3,7,4,5,6,8,1] [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,1,2,3,7,8]=>[6,1,2,4,5,3,7,8]=>[4,5,6,3,2,1,7,8]=>[2,3,6,4,5,1,7,8] [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[4,5,1,2,3,7,6,8]=>[5,1,2,4,3,7,6,8]=>[4,5,3,2,1,7,6,8]=>[2,3,5,4,1,7,6,8] [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[4,5,1,2,7,3,8,6]=>[5,1,7,4,2,8,3,6]=>[4,5,2,1,7,3,8,6]=>[2,5,7,4,1,8,3,6] [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[4,5,1,2,7,3,6,8]=>[5,1,7,4,2,3,6,8]=>[4,5,2,1,7,6,3,8]=>[2,5,6,4,1,7,3,8] [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[4,5,1,7,2,8,3,6]=>[5,7,8,4,1,3,2,6]=>[4,5,1,7,2,8,6,3]=>[5,7,6,4,1,8,2,3] [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[4,5,1,7,2,3,6,8]=>[5,7,2,4,1,3,6,8]=>[4,5,1,7,6,3,2,8]=>[5,3,6,4,1,7,2,8] [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[4,5,7,1,2,8,3,6]=>[7,1,8,4,5,3,2,6]=>[4,5,7,2,1,8,6,3]=>[2,7,6,4,5,8,1,3] [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[4,5,7,8,1,2,3,6]=>[8,1,2,4,5,3,7,6]=>[4,5,7,8,6,3,2,1]=>[2,3,6,4,5,8,7,1] [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[4,5,7,1,2,3,6,8]=>[7,1,2,4,5,3,6,8]=>[4,5,7,6,3,2,1,8]=>[2,3,6,4,5,7,1,8] [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[4,5,1,2,3,6,8,7]=>[5,1,2,4,3,6,8,7]=>[4,5,3,2,1,6,8,7]=>[2,3,5,4,1,6,8,7] [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[4,5,1,2,3,8,6,7]=>[5,1,2,4,3,8,6,7]=>[4,5,3,2,1,8,7,6]=>[2,3,5,4,1,7,8,6] [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,5,1,2,8,3,6,7]=>[5,1,8,4,2,3,6,7]=>[4,5,2,1,8,7,6,3]=>[2,5,6,4,1,7,8,3] [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[4,5,1,8,2,3,6,7]=>[5,8,2,4,1,3,6,7]=>[4,5,1,8,7,6,3,2]=>[5,3,6,4,1,7,8,2] [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[4,5,8,1,2,3,6,7]=>[8,1,2,4,5,3,6,7]=>[4,5,8,7,6,3,2,1]=>[2,3,6,4,5,7,8,1] [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[4,5,1,2,3,6,7,8]=>[5,1,2,4,3,6,7,8]=>[4,5,3,2,1,6,7,8]=>[2,3,5,4,1,6,7,8] [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,2,3,6,7,8,5]=>[4,1,2,3,8,6,7,5]=>[4,3,2,1,6,7,8,5]=>[2,3,4,1,8,6,7,5] [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,2,3,6,7,5,8]=>[4,1,2,3,7,6,5,8]=>[4,3,2,1,6,7,5,8]=>[2,3,4,1,7,6,5,8] [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,1,2,3,6,5,8,7]=>[4,1,2,3,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[2,3,4,1,6,5,8,7] [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,1,2,3,6,8,5,7]=>[4,1,2,3,8,6,5,7]=>[4,3,2,1,6,8,7,5]=>[2,3,4,1,7,6,8,5] [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,2,3,6,5,7,8]=>[4,1,2,3,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[2,3,4,1,6,5,7,8] [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,2,6,3,7,8,5]=>[4,1,6,2,8,3,7,5]=>[4,2,1,6,3,7,8,5]=>[2,4,6,1,8,3,7,5] [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,2,6,3,7,5,8]=>[4,1,6,2,7,3,5,8]=>[4,2,1,6,3,7,5,8]=>[2,4,6,1,7,3,5,8] [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2,6,7,3,5,8]=>[4,1,7,2,3,6,5,8]=>[4,2,1,6,7,5,3,8]=>[2,4,5,1,7,6,3,8] [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,6,3,5,8,7]=>[4,1,6,2,3,5,8,7]=>[4,2,1,6,5,3,8,7]=>[2,4,5,1,6,3,8,7] [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,1,2,6,3,8,5,7]=>[4,1,6,2,8,3,5,7]=>[4,2,1,6,3,8,7,5]=>[2,4,6,1,7,3,8,5] [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,1,2,6,8,3,5,7]=>[4,1,8,2,3,6,5,7]=>[4,2,1,6,8,7,5,3]=>[2,4,5,1,7,6,8,3] [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,2,6,3,5,7,8]=>[4,1,6,2,3,5,7,8]=>[4,2,1,6,5,3,7,8]=>[2,4,5,1,6,3,7,8] [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,6,2,3,7,8,5]=>[4,6,2,1,8,3,7,5]=>[4,1,6,3,2,7,8,5]=>[4,3,6,1,8,2,7,5] [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,6,2,3,7,5,8]=>[4,6,2,1,7,3,5,8]=>[4,1,6,3,2,7,5,8]=>[4,3,6,1,7,2,5,8] [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,6,2,7,3,8,5]=>[4,6,7,1,8,2,3,5]=>[4,1,6,2,7,3,8,5]=>[4,6,7,1,8,2,3,5] [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,6,2,7,3,5,8]=>[4,6,7,1,3,2,5,8]=>[4,1,6,2,7,5,3,8]=>[4,6,5,1,7,2,3,8] [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,6,7,8,2,3,5]=>[4,8,2,1,3,6,7,5]=>[4,1,6,7,8,5,3,2]=>[4,3,5,1,8,6,7,2] [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,6,7,2,3,5,8]=>[4,7,2,1,3,6,5,8]=>[4,1,6,7,5,3,2,8]=>[4,3,5,1,7,6,2,8] [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,6,2,8,3,5,7]=>[4,6,8,1,3,2,5,7]=>[4,1,6,2,8,7,5,3]=>[4,6,5,1,7,2,8,3] [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,6,8,2,3,5,7]=>[4,8,2,1,3,6,5,7]=>[4,1,6,8,7,5,3,2]=>[4,3,5,1,7,6,8,2] [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,6,1,2,3,7,5,8]=>[6,1,2,4,7,3,5,8]=>[4,6,3,2,1,7,5,8]=>[2,3,6,4,7,1,5,8] [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,6,1,2,7,8,3,5]=>[6,1,8,4,3,2,7,5]=>[4,6,2,1,7,8,5,3]=>[2,6,5,4,8,1,7,3] [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,6,1,2,7,3,5,8]=>[6,1,7,4,3,2,5,8]=>[4,6,2,1,7,5,3,8]=>[2,6,5,4,7,1,3,8] [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,6,1,7,2,3,8,5]=>[6,7,2,4,8,1,3,5]=>[4,6,1,7,3,2,8,5]=>[6,3,7,4,8,1,2,5] [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,6,1,7,8,2,3,5]=>[6,8,2,4,3,1,7,5]=>[4,6,1,7,8,5,3,2]=>[6,3,5,4,8,1,7,2] [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,6,1,7,2,3,5,8]=>[6,7,2,4,3,1,5,8]=>[4,6,1,7,5,3,2,8]=>[6,3,5,4,7,1,2,8] [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,6,7,1,2,8,3,5]=>[7,1,8,4,3,6,2,5]=>[4,6,7,2,1,8,5,3]=>[2,7,5,4,8,6,1,3] [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,6,7,1,8,2,3,5]=>[7,8,2,4,3,6,1,5]=>[4,6,7,1,8,5,3,2]=>[7,3,5,4,8,6,1,2] [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,6,7,8,1,2,3,5]=>[8,1,2,4,3,6,7,5]=>[4,6,7,8,5,3,2,1]=>[2,3,5,4,8,6,7,1] [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,6,7,1,2,3,5,8]=>[7,1,2,4,3,6,5,8]=>[4,6,7,5,3,2,1,8]=>[2,3,5,4,7,6,1,8] [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,6,1,2,3,5,8,7]=>[6,1,2,4,3,5,8,7]=>[4,6,5,3,2,1,8,7]=>[2,3,5,4,6,1,8,7] [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,6,1,2,3,8,5,7]=>[6,1,2,4,8,3,5,7]=>[4,6,3,2,1,8,7,5]=>[2,3,6,4,7,1,8,5] [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,6,1,2,8,3,5,7]=>[6,1,8,4,3,2,5,7]=>[4,6,2,1,8,7,5,3]=>[2,6,5,4,7,1,8,3] [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,6,1,8,2,3,5,7]=>[6,8,2,4,3,1,5,7]=>[4,6,1,8,7,5,3,2]=>[6,3,5,4,7,1,8,2] [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,6,8,1,2,3,5,7]=>[8,1,2,4,3,6,5,7]=>[4,6,8,7,5,3,2,1]=>[2,3,5,4,7,6,8,1] [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[4,1,2,3,5,7,8,6]=>[4,1,2,3,5,8,7,6]=>[4,3,2,1,5,7,8,6]=>[2,3,4,1,5,8,7,6] [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[4,1,2,3,5,7,6,8]=>[4,1,2,3,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[2,3,4,1,5,7,6,8] [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[4,1,2,3,7,5,8,6]=>[4,1,2,3,7,8,5,6]=>[4,3,2,1,7,5,8,6]=>[2,3,4,1,7,8,5,6] [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[4,1,2,3,7,8,5,6]=>[4,1,2,3,8,5,7,6]=>[4,3,2,1,7,8,6,5]=>[2,3,4,1,6,8,7,5] [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,1,2,3,7,5,6,8]=>[4,1,2,3,7,5,6,8]=>[4,3,2,1,7,6,5,8]=>[2,3,4,1,6,7,5,8] [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[4,1,2,7,3,8,5,6]=>[4,1,7,2,8,5,3,6]=>[4,2,1,7,3,8,6,5]=>[2,4,7,1,6,8,3,5] [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,1,2,7,8,3,5,6]=>[4,1,8,2,3,5,7,6]=>[4,2,1,7,8,6,5,3]=>[2,4,5,1,6,8,7,3] [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[4,1,7,2,3,5,8,6]=>[4,7,2,1,3,8,5,6]=>[4,1,7,5,3,2,8,6]=>[4,3,5,1,7,8,2,6] [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[4,1,7,2,3,8,5,6]=>[4,7,2,1,8,5,3,6]=>[4,1,7,3,2,8,6,5]=>[4,3,7,1,6,8,2,5] [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,1,7,2,8,3,5,6]=>[4,7,8,1,3,5,2,6]=>[4,1,7,2,8,6,5,3]=>[4,7,5,1,6,8,2,3] [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[4,1,7,8,2,3,5,6]=>[4,8,2,1,3,5,7,6]=>[4,1,7,8,6,5,3,2]=>[4,3,5,1,6,8,7,2] [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[4,1,7,2,3,5,6,8]=>[4,7,2,1,3,5,6,8]=>[4,1,7,6,5,3,2,8]=>[4,3,5,1,6,7,2,8] [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[4,7,1,2,3,8,5,6]=>[7,1,2,4,8,5,3,6]=>[4,7,3,2,1,8,6,5]=>[2,3,7,4,6,8,1,5] [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,7,1,2,8,3,5,6]=>[7,1,8,4,3,5,2,6]=>[4,7,2,1,8,6,5,3]=>[2,7,5,4,6,8,1,3] [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[4,7,1,8,2,3,5,6]=>[7,8,2,4,3,5,1,6]=>[4,7,1,8,6,5,3,2]=>[7,3,5,4,6,8,1,2] [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[4,7,8,1,2,3,5,6]=>[8,1,2,4,3,5,7,6]=>[4,7,8,6,5,3,2,1]=>[2,3,5,4,6,8,7,1] [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[4,7,1,2,3,5,6,8]=>[7,1,2,4,3,5,6,8]=>[4,7,6,5,3,2,1,8]=>[2,3,5,4,6,7,1,8] [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,8,7]=>[4,1,2,3,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[2,3,4,1,5,6,8,7] [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[4,1,2,3,5,8,6,7]=>[4,1,2,3,5,8,6,7]=>[4,3,2,1,5,8,7,6]=>[2,3,4,1,5,7,8,6] [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[4,1,2,3,8,5,6,7]=>[4,1,2,3,8,5,6,7]=>[4,3,2,1,8,7,6,5]=>[2,3,4,1,6,7,8,5] [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,2,8,3,5,6,7]=>[4,1,8,2,3,5,6,7]=>[4,2,1,8,7,6,5,3]=>[2,4,5,1,6,7,8,3] [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[4,1,8,2,3,5,6,7]=>[4,8,2,1,3,5,6,7]=>[4,1,8,7,6,5,3,2]=>[4,3,5,1,6,7,8,2] [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[4,8,1,2,3,5,6,7]=>[8,1,2,4,3,5,6,7]=>[4,8,7,6,5,3,2,1]=>[2,3,5,4,6,7,8,1] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[2,3,4,1,5,6,7,8] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[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] [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[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] [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[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] [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[1,2,3,5,6,8,7,4]=>[1,2,3,7,5,6,8,4] [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[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] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[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] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[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] [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,7,4,8,6]=>[1,2,3,7,5,8,4,6]=>[1,2,3,5,7,4,8,6]=>[1,2,3,7,5,8,4,6] [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[1,2,3,5,7,8,6,4]=>[1,2,3,6,5,8,7,4] [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]=>[1,2,3,5,7,6,4,8]=>[1,2,3,6,5,7,4,8] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[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] [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,7,6]=>[1,2,3,5,4,7,8,6] [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[1,2,3,5,8,7,6,4]=>[1,2,3,6,5,7,8,4] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[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] [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4] [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,2,5,3,6,7,4,8]=>[1,2,5,7,3,6,4,8]=>[1,2,5,3,6,7,4,8]=>[1,2,5,7,3,6,4,8] [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,2,5,3,6,4,8,7]=>[1,2,5,6,3,4,8,7]=>[1,2,5,3,6,4,8,7]=>[1,2,5,6,3,4,8,7] [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,2,5,3,6,8,4,7]=>[1,2,5,8,3,6,4,7]=>[1,2,5,3,6,8,7,4]=>[1,2,5,7,3,6,8,4] [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8] [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[1,2,5,6,3,7,8,4]=>[1,2,6,8,5,3,7,4]=>[1,2,5,6,3,7,8,4]=>[1,2,6,8,5,3,7,4] [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8] [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>[1,2,5,6,7,8,4,3]=>[1,2,4,8,5,6,7,3] [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>[1,2,5,6,3,8,7,4]=>[1,2,6,7,5,3,8,4] [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[1,2,5,6,8,3,4,7]=>[1,2,8,3,5,6,4,7]=>[1,2,5,6,8,7,4,3]=>[1,2,4,7,5,6,8,3] [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]=>[1,2,5,6,4,3,7,8]=>[1,2,4,6,5,3,7,8] [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[1,2,5,3,4,7,8,6]=>[1,2,5,3,4,8,7,6]=>[1,2,5,4,3,7,8,6]=>[1,2,4,5,3,8,7,6] [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[1,2,5,3,7,4,8,6]=>[1,2,5,7,3,8,4,6]=>[1,2,5,3,7,4,8,6]=>[1,2,5,7,3,8,4,6] [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[1,2,5,3,7,8,4,6]=>[1,2,5,8,3,4,7,6]=>[1,2,5,3,7,8,6,4]=>[1,2,5,6,3,8,7,4] [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>[1,2,5,3,7,6,4,8]=>[1,2,5,6,3,7,4,8] [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,2,5,7,3,4,8,6]=>[1,2,7,3,5,8,4,6]=>[1,2,5,7,4,3,8,6]=>[1,2,4,7,5,8,3,6] [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[1,2,5,7,3,8,6,4]=>[1,2,7,6,5,8,3,4] [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,2,5,7,3,4,6,8]=>[1,2,7,3,5,4,6,8]=>[1,2,5,7,6,4,3,8]=>[1,2,4,6,5,7,3,8] [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[1,2,5,3,4,6,8,7]=>[1,2,5,3,4,6,8,7]=>[1,2,5,4,3,6,8,7]=>[1,2,4,5,3,6,8,7] [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>[1,2,5,4,3,8,7,6]=>[1,2,4,5,3,7,8,6] [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[1,2,5,3,8,7,6,4]=>[1,2,5,6,3,7,8,4] [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[1,2,5,8,7,6,4,3]=>[1,2,4,6,5,7,8,3] [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>[1,2,5,4,3,6,7,8]=>[1,2,4,5,3,6,7,8] [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[1,5,2,3,6,7,8,4]=>[1,5,2,8,3,6,7,4]=>[1,5,3,2,6,7,8,4]=>[1,3,5,8,2,6,7,4] [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,5,2,3,6,7,4,8]=>[1,5,2,7,3,6,4,8]=>[1,5,3,2,6,7,4,8]=>[1,3,5,7,2,6,4,8] [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,5,2,3,6,8,4,7]=>[1,5,2,8,3,6,4,7]=>[1,5,3,2,6,8,7,4]=>[1,3,5,7,2,6,8,4] [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[1,5,3,2,6,4,7,8]=>[1,3,5,6,2,4,7,8] [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4] [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8] [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[1,5,2,6,7,8,3,4]=>[1,5,8,3,2,6,7,4]=>[1,5,2,6,7,8,4,3]=>[1,5,4,8,2,6,7,3] [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,5,2,6,7,3,4,8]=>[1,5,7,3,2,6,4,8]=>[1,5,2,6,7,4,3,8]=>[1,5,4,7,2,6,3,8] [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[1,5,2,6,3,8,7,4]=>[1,5,6,7,2,3,8,4] [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,5,2,6,8,3,4,7]=>[1,5,8,3,2,6,4,7]=>[1,5,2,6,8,7,4,3]=>[1,5,4,7,2,6,8,3] [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[1,5,2,6,4,3,7,8]=>[1,5,4,6,2,3,7,8] [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[1,5,6,2,3,7,8,4]=>[1,6,2,8,5,3,7,4]=>[1,5,6,3,2,7,8,4]=>[1,3,6,8,5,2,7,4] [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>[1,5,6,7,3,2,8,4]=>[1,3,7,8,5,6,2,4] [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[1,5,6,7,2,8,3,4]=>[1,7,8,3,5,6,2,4]=>[1,5,6,7,2,8,4,3]=>[1,7,4,8,5,6,2,3] [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[1,5,6,7,8,4,3,2]=>[1,3,4,8,5,6,7,2] [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[1,5,6,7,2,3,4,8]=>[1,7,2,3,5,6,4,8]=>[1,5,6,7,4,3,2,8]=>[1,3,4,7,5,6,2,8] [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,5,6,2,3,4,8,7]=>[1,6,2,3,5,4,8,7]=>[1,5,6,4,3,2,8,7]=>[1,3,4,6,5,2,8,7] [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>[1,5,6,3,2,8,7,4]=>[1,3,6,7,5,2,8,4] [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[1,5,6,2,3,4,7,8]=>[1,6,2,3,5,4,7,8]=>[1,5,6,4,3,2,7,8]=>[1,3,4,6,5,2,7,8] [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[1,5,2,3,4,7,8,6]=>[1,5,2,3,4,8,7,6]=>[1,5,4,3,2,7,8,6]=>[1,3,4,5,2,8,7,6] [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[1,5,4,3,2,7,6,8]=>[1,3,4,5,2,7,6,8] [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]=>[1,5,3,2,7,4,8,6]=>[1,3,5,7,2,8,4,6] [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[1,5,3,2,7,6,4,8]=>[1,3,5,6,2,7,4,8] [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]=>[1,5,2,7,4,3,8,6]=>[1,5,4,7,2,8,3,6] [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[1,5,2,7,3,8,6,4]=>[1,5,7,6,2,8,3,4] [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[1,5,2,7,8,6,4,3]=>[1,5,4,6,2,8,7,3] [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[1,5,7,3,2,8,6,4]=>[1,3,7,6,5,8,2,4] [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[1,5,7,2,8,6,4,3]=>[1,7,4,6,5,8,2,3] [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[1,5,4,3,2,8,7,6]=>[1,3,4,5,2,7,8,6] [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,3,2,8,7,6,4]=>[1,3,5,6,2,7,8,4] [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[1,5,2,8,7,6,4,3]=>[1,5,4,6,2,7,8,3] [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[1,5,8,7,6,4,3,2]=>[1,3,4,6,5,7,8,2] [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[1,5,4,3,2,6,7,8]=>[1,3,4,5,2,6,7,8] [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[5,1,2,3,6,7,8,4]=>[5,1,2,8,3,6,7,4]=>[5,3,2,1,6,7,8,4]=>[2,3,5,8,1,6,7,4] [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[5,1,2,3,6,7,4,8]=>[5,1,2,7,3,6,4,8]=>[5,3,2,1,6,7,4,8]=>[2,3,5,7,1,6,4,8] [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[5,1,2,3,6,4,8,7]=>[5,1,2,6,3,4,8,7]=>[5,3,2,1,6,4,8,7]=>[2,3,5,6,1,4,8,7] [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,1,2,3,6,4,7,8]=>[5,1,2,6,3,4,7,8]=>[5,3,2,1,6,4,7,8]=>[2,3,5,6,1,4,7,8] [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[5,1,2,6,3,7,4,8]=>[5,1,6,7,2,3,4,8]=>[5,2,1,6,3,7,4,8]=>[2,5,6,7,1,3,4,8] [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[5,1,2,6,7,8,3,4]=>[5,1,8,3,2,6,7,4]=>[5,2,1,6,7,8,4,3]=>[2,5,4,8,1,6,7,3] [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[5,1,2,6,3,8,4,7]=>[5,1,6,8,2,3,4,7]=>[5,2,1,6,3,8,7,4]=>[2,5,6,7,1,3,8,4] [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[5,1,2,6,8,3,4,7]=>[5,1,8,3,2,6,4,7]=>[5,2,1,6,8,7,4,3]=>[2,5,4,7,1,6,8,3] [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[5,1,2,6,3,4,7,8]=>[5,1,6,3,2,4,7,8]=>[5,2,1,6,4,3,7,8]=>[2,5,4,6,1,3,7,8] [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[5,1,6,2,3,7,8,4]=>[5,6,2,8,1,3,7,4]=>[5,1,6,3,2,7,8,4]=>[5,3,6,8,1,2,7,4] [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[5,1,6,2,3,7,4,8]=>[5,6,2,7,1,3,4,8]=>[5,1,6,3,2,7,4,8]=>[5,3,6,7,1,2,4,8] [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[5,1,6,2,7,3,8,4]=>[5,6,7,8,1,2,3,4]=>[5,1,6,2,7,3,8,4]=>[5,6,7,8,1,2,3,4] [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[5,1,6,2,7,8,3,4]=>[5,6,8,3,1,2,7,4]=>[5,1,6,2,7,8,4,3]=>[5,6,4,8,1,2,7,3] [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[5,1,6,2,7,3,4,8]=>[5,6,7,3,1,2,4,8]=>[5,1,6,2,7,4,3,8]=>[5,6,4,7,1,2,3,8] [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[5,1,6,7,2,3,8,4]=>[5,7,2,8,1,6,3,4]=>[5,1,6,7,3,2,8,4]=>[5,3,7,8,1,6,2,4] [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[5,1,6,7,2,8,3,4]=>[5,7,8,3,1,6,2,4]=>[5,1,6,7,2,8,4,3]=>[5,7,4,8,1,6,2,3] [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[5,1,6,7,8,2,3,4]=>[5,8,2,3,1,6,7,4]=>[5,1,6,7,8,4,3,2]=>[5,3,4,8,1,6,7,2] [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[5,1,6,7,2,3,4,8]=>[5,7,2,3,1,6,4,8]=>[5,1,6,7,4,3,2,8]=>[5,3,4,7,1,6,2,8] [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[5,1,6,2,3,4,8,7]=>[5,6,2,3,1,4,8,7]=>[5,1,6,4,3,2,8,7]=>[5,3,4,6,1,2,8,7] [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[5,1,6,2,3,8,4,7]=>[5,6,2,8,1,3,4,7]=>[5,1,6,3,2,8,7,4]=>[5,3,6,7,1,2,8,4] [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[5,1,6,2,8,3,4,7]=>[5,6,8,3,1,2,4,7]=>[5,1,6,2,8,7,4,3]=>[5,6,4,7,1,2,8,3] [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[5,1,6,2,3,4,7,8]=>[5,6,2,3,1,4,7,8]=>[5,1,6,4,3,2,7,8]=>[5,3,4,6,1,2,7,8] [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[5,6,1,2,3,7,8,4]=>[6,1,2,8,5,3,7,4]=>[5,6,3,2,1,7,8,4]=>[2,3,6,8,5,1,7,4] [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[5,6,1,2,7,3,8,4]=>[6,1,7,8,5,2,3,4]=>[5,6,2,1,7,3,8,4]=>[2,6,7,8,5,1,3,4] [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[5,6,1,2,7,8,3,4]=>[6,1,8,3,5,2,7,4]=>[5,6,2,1,7,8,4,3]=>[2,6,4,8,5,1,7,3] [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[5,6,1,7,2,3,8,4]=>[6,7,2,8,5,1,3,4]=>[5,6,1,7,3,2,8,4]=>[6,3,7,8,5,1,2,4] [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[5,6,1,7,2,8,3,4]=>[6,7,8,3,5,1,2,4]=>[5,6,1,7,2,8,4,3]=>[6,7,4,8,5,1,2,3] [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[5,6,1,7,8,2,3,4]=>[6,8,2,3,5,1,7,4]=>[5,6,1,7,8,4,3,2]=>[6,3,4,8,5,1,7,2] [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[5,6,7,1,2,3,8,4]=>[7,1,2,8,5,6,3,4]=>[5,6,7,3,2,1,8,4]=>[2,3,7,8,5,6,1,4] [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[5,6,7,1,2,8,3,4]=>[7,1,8,3,5,6,2,4]=>[5,6,7,2,1,8,4,3]=>[2,7,4,8,5,6,1,3] [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[5,6,7,1,8,2,3,4]=>[7,8,2,3,5,6,1,4]=>[5,6,7,1,8,4,3,2]=>[7,3,4,8,5,6,1,2] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>[8,1,2,3,5,6,7,4]=>[5,6,7,8,4,3,2,1]=>[2,3,4,8,5,6,7,1] [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[5,6,7,1,2,3,4,8]=>[7,1,2,3,5,6,4,8]=>[5,6,7,4,3,2,1,8]=>[2,3,4,7,5,6,1,8] [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[5,6,1,2,3,4,8,7]=>[6,1,2,3,5,4,8,7]=>[5,6,4,3,2,1,8,7]=>[2,3,4,6,5,1,8,7] [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[5,6,1,2,3,8,4,7]=>[6,1,2,8,5,3,4,7]=>[5,6,3,2,1,8,7,4]=>[2,3,6,7,5,1,8,4] [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[5,6,8,1,2,3,4,7]=>[8,1,2,3,5,6,4,7]=>[5,6,8,7,4,3,2,1]=>[2,3,4,7,5,6,8,1] [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[5,6,1,2,3,4,7,8]=>[6,1,2,3,5,4,7,8]=>[5,6,4,3,2,1,7,8]=>[2,3,4,6,5,1,7,8] [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,2,3,4,7,8,6]=>[5,1,2,3,4,8,7,6]=>[5,4,3,2,1,7,8,6]=>[2,3,4,5,1,8,7,6] [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[5,1,2,3,4,7,6,8]=>[5,1,2,3,4,7,6,8]=>[5,4,3,2,1,7,6,8]=>[2,3,4,5,1,7,6,8] [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,2,3,7,4,8,6]=>[5,1,2,7,3,8,4,6]=>[5,3,2,1,7,4,8,6]=>[2,3,5,7,1,8,4,6] [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[5,1,2,3,7,4,6,8]=>[5,1,2,7,3,4,6,8]=>[5,3,2,1,7,6,4,8]=>[2,3,5,6,1,7,4,8] [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,2,7,3,4,8,6]=>[5,1,7,3,2,8,4,6]=>[5,2,1,7,4,3,8,6]=>[2,5,4,7,1,8,3,6] [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[5,1,2,7,3,4,6,8]=>[5,1,7,3,2,4,6,8]=>[5,2,1,7,6,4,3,8]=>[2,5,4,6,1,7,3,8] [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,7,2,8,3,4,6]=>[5,7,8,3,1,4,2,6]=>[5,1,7,2,8,6,4,3]=>[5,7,4,6,1,8,2,3] [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,7,8,2,3,4,6]=>[5,8,2,3,1,4,7,6]=>[5,1,7,8,6,4,3,2]=>[5,3,4,6,1,8,7,2] [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[5,1,7,2,3,4,6,8]=>[5,7,2,3,1,4,6,8]=>[5,1,7,6,4,3,2,8]=>[5,3,4,6,1,7,2,8] [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[5,7,1,2,3,4,8,6]=>[7,1,2,3,5,8,4,6]=>[5,7,4,3,2,1,8,6]=>[2,3,4,7,5,8,1,6] [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[5,7,1,2,3,8,4,6]=>[7,1,2,8,5,4,3,6]=>[5,7,3,2,1,8,6,4]=>[2,3,7,6,5,8,1,4] [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[5,7,8,1,2,3,4,6]=>[8,1,2,3,5,4,7,6]=>[5,7,8,6,4,3,2,1]=>[2,3,4,6,5,8,7,1] [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[5,7,1,2,3,4,6,8]=>[7,1,2,3,5,4,6,8]=>[5,7,6,4,3,2,1,8]=>[2,3,4,6,5,7,1,8] [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[5,1,2,3,4,6,8,7]=>[5,1,2,3,4,6,8,7]=>[5,4,3,2,1,6,8,7]=>[2,3,4,5,1,6,8,7] [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[5,1,2,3,4,8,6,7]=>[5,1,2,3,4,8,6,7]=>[5,4,3,2,1,8,7,6]=>[2,3,4,5,1,7,8,6] [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,2,3,8,4,6,7]=>[5,1,2,8,3,4,6,7]=>[5,3,2,1,8,7,6,4]=>[2,3,5,6,1,7,8,4] [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[5,1,2,8,3,4,6,7]=>[5,1,8,3,2,4,6,7]=>[5,2,1,8,7,6,4,3]=>[2,5,4,6,1,7,8,3] [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[5,1,8,2,3,4,6,7]=>[5,8,2,3,1,4,6,7]=>[5,1,8,7,6,4,3,2]=>[5,3,4,6,1,7,8,2] [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[5,8,1,2,3,4,6,7]=>[8,1,2,3,5,4,6,7]=>[5,8,7,6,4,3,2,1]=>[2,3,4,6,5,7,8,1] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[5,1,2,3,4,6,7,8]=>[5,1,2,3,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[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] [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[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] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[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] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[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] [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,2,3,6,4,7,8,5]=>[1,2,3,6,8,4,7,5]=>[1,2,3,6,4,7,8,5]=>[1,2,3,6,8,4,7,5] [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8] [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[1,2,3,6,7,4,8,5]=>[1,2,3,7,8,6,4,5]=>[1,2,3,6,7,4,8,5]=>[1,2,3,7,8,6,4,5] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[1,2,3,6,7,8,5,4]=>[1,2,3,5,8,6,7,4] [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>[1,2,3,6,7,5,4,8]=>[1,2,3,5,7,6,4,8] [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,5,4,8,7]=>[1,2,3,5,6,4,8,7] [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]=>[1,2,3,6,4,8,7,5]=>[1,2,3,6,7,4,8,5] [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,8,7,5,4]=>[1,2,3,5,7,6,8,4] [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,5,4,7,8]=>[1,2,3,5,6,4,7,8] [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[1,2,6,3,4,7,8,5]=>[1,2,6,3,8,4,7,5]=>[1,2,6,4,3,7,8,5]=>[1,2,4,6,8,3,7,5] [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[1,2,6,4,3,7,5,8]=>[1,2,4,6,7,3,5,8] [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5] [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>[1,2,6,3,7,8,5,4]=>[1,2,6,5,8,3,7,4] [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>[1,2,6,3,7,5,4,8]=>[1,2,6,5,7,3,4,8] [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[1,2,6,7,3,4,8,5]=>[1,2,7,3,8,6,4,5]=>[1,2,6,7,4,3,8,5]=>[1,2,4,7,8,6,3,5] [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[1,2,6,7,3,8,4,5]=>[1,2,7,8,4,6,3,5]=>[1,2,6,7,3,8,5,4]=>[1,2,7,5,8,6,3,4] [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[1,2,6,7,8,5,4,3]=>[1,2,4,5,8,6,7,3] [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,2,6,7,3,4,5,8]=>[1,2,7,3,4,6,5,8]=>[1,2,6,7,5,4,3,8]=>[1,2,4,5,7,6,3,8] [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[1,2,6,3,8,7,5,4]=>[1,2,6,5,7,3,8,4] [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[1,2,6,5,4,3,7,8]=>[1,2,4,5,6,3,7,8] [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,6,2,3,4,7,8,5]=>[1,6,2,3,8,4,7,5]=>[1,6,4,3,2,7,8,5]=>[1,3,4,6,8,2,7,5] [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[1,6,3,2,7,4,8,5]=>[1,3,6,7,8,2,4,5] [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,6,2,3,7,4,5,8]=>[1,6,2,7,4,3,5,8]=>[1,6,3,2,7,5,4,8]=>[1,3,6,5,7,2,4,8] [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,6,2,7,3,4,8,5]=>[1,6,7,3,8,2,4,5]=>[1,6,2,7,4,3,8,5]=>[1,6,4,7,8,2,3,5] [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[1,6,2,7,3,8,5,4]=>[1,6,7,5,8,2,3,4] [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[1,6,7,2,3,4,8,5]=>[1,7,2,3,8,6,4,5]=>[1,6,7,4,3,2,8,5]=>[1,3,4,7,8,6,2,5] [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[1,6,7,3,2,8,5,4]=>[1,3,7,5,8,6,2,4] [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,6,7,2,8,3,4,5]=>[1,7,8,3,4,6,2,5]=>[1,6,7,2,8,5,4,3]=>[1,7,4,5,8,6,2,3] [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[1,6,7,8,5,4,3,2]=>[1,3,4,5,8,6,7,2] [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>[1,6,7,5,4,3,2,8]=>[1,3,4,5,7,6,2,8] [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,6,5,4,3,2,8,7]=>[1,3,4,5,6,2,8,7] [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[1,6,4,3,2,8,7,5]=>[1,3,4,6,7,2,8,5] [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[1,6,2,8,7,5,4,3]=>[1,6,4,5,7,2,8,3] [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[1,6,8,7,5,4,3,2]=>[1,3,4,5,7,6,8,2] [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[1,6,5,4,3,2,7,8]=>[1,3,4,5,6,2,7,8] [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[6,1,2,3,4,7,8,5]=>[6,1,2,3,8,4,7,5]=>[6,4,3,2,1,7,8,5]=>[2,3,4,6,8,1,7,5] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,1,2,3,4,7,5,8]=>[6,1,2,3,7,4,5,8]=>[6,4,3,2,1,7,5,8]=>[2,3,4,6,7,1,5,8] [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[6,1,2,3,7,4,8,5]=>[6,1,2,7,8,3,4,5]=>[6,3,2,1,7,4,8,5]=>[2,3,6,7,8,1,4,5] [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[6,1,2,3,7,8,4,5]=>[6,1,2,8,4,3,7,5]=>[6,3,2,1,7,8,5,4]=>[2,3,6,5,8,1,7,4] [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[6,1,2,7,3,4,8,5]=>[6,1,7,3,8,2,4,5]=>[6,2,1,7,4,3,8,5]=>[2,6,4,7,8,1,3,5] [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[6,1,2,7,3,8,4,5]=>[6,1,7,8,4,2,3,5]=>[6,2,1,7,3,8,5,4]=>[2,6,7,5,8,1,3,4] [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[6,1,2,7,8,3,4,5]=>[6,1,8,3,4,2,7,5]=>[6,2,1,7,8,5,4,3]=>[2,6,4,5,8,1,7,3] [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[6,1,2,7,3,4,5,8]=>[6,1,7,3,4,2,5,8]=>[6,2,1,7,5,4,3,8]=>[2,6,4,5,7,1,3,8] [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[6,1,7,2,3,4,8,5]=>[6,7,2,3,8,1,4,5]=>[6,1,7,4,3,2,8,5]=>[6,3,4,7,8,1,2,5] [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[6,1,7,2,3,8,4,5]=>[6,7,2,8,4,1,3,5]=>[6,1,7,3,2,8,5,4]=>[6,3,7,5,8,1,2,4] [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[6,1,7,2,8,3,4,5]=>[6,7,8,3,4,1,2,5]=>[6,1,7,2,8,5,4,3]=>[6,7,4,5,8,1,2,3] [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[6,1,7,8,2,3,4,5]=>[6,8,2,3,4,1,7,5]=>[6,1,7,8,5,4,3,2]=>[6,3,4,5,8,1,7,2] [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[6,7,1,2,3,8,4,5]=>[7,1,2,8,4,6,3,5]=>[6,7,3,2,1,8,5,4]=>[2,3,7,5,8,6,1,4] [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[6,7,1,2,8,3,4,5]=>[7,1,8,3,4,6,2,5]=>[6,7,2,1,8,5,4,3]=>[2,7,4,5,8,6,1,3] [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[6,7,1,8,2,3,4,5]=>[7,8,2,3,4,6,1,5]=>[6,7,1,8,5,4,3,2]=>[7,3,4,5,8,6,1,2] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[6,7,8,1,2,3,4,5]=>[8,1,2,3,4,6,7,5]=>[6,7,8,5,4,3,2,1]=>[2,3,4,5,8,6,7,1] [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[6,7,1,2,3,4,5,8]=>[7,1,2,3,4,6,5,8]=>[6,7,5,4,3,2,1,8]=>[2,3,4,5,7,6,1,8] [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,8,7]=>[6,1,2,3,4,5,8,7]=>[6,5,4,3,2,1,8,7]=>[2,3,4,5,6,1,8,7] [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,2,3,4,8,5,7]=>[6,1,2,3,8,4,5,7]=>[6,4,3,2,1,8,7,5]=>[2,3,4,6,7,1,8,5] [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[6,1,2,3,8,4,5,7]=>[6,1,2,8,4,3,5,7]=>[6,3,2,1,8,7,5,4]=>[2,3,6,5,7,1,8,4] [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[6,1,2,8,3,4,5,7]=>[6,1,8,3,4,2,5,7]=>[6,2,1,8,7,5,4,3]=>[2,6,4,5,7,1,8,3] [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[6,1,8,2,3,4,5,7]=>[6,8,2,3,4,1,5,7]=>[6,1,8,7,5,4,3,2]=>[6,3,4,5,7,1,8,2] [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[6,8,1,2,3,4,5,7]=>[8,1,2,3,4,6,5,7]=>[6,8,7,5,4,3,2,1]=>[2,3,4,5,7,6,8,1] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[6,1,2,3,4,5,7,8]=>[6,1,2,3,4,5,7,8]=>[6,5,4,3,2,1,7,8]=>[2,3,4,5,6,1,7,8] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[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] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[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] [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,7,8,6,5]=>[1,2,3,4,6,8,7,5] [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,6,5,8]=>[1,2,3,4,6,7,5,8] [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,5,4,8,6]=>[1,2,3,5,7,8,4,6] [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>[1,2,3,7,4,8,6,5]=>[1,2,3,7,6,8,4,5] [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[1,2,3,7,8,6,5,4]=>[1,2,3,5,6,8,7,4] [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,6,5,4,8]=>[1,2,3,5,6,7,4,8] [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[1,2,7,5,4,3,8,6]=>[1,2,4,5,7,8,3,6] [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[1,2,7,4,3,8,6,5]=>[1,2,4,7,6,8,3,5] [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[1,2,7,3,8,6,5,4]=>[1,2,7,5,6,8,3,4] [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[1,2,7,8,6,5,4,3]=>[1,2,4,5,6,8,7,3] [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[1,2,7,6,5,4,3,8]=>[1,2,4,5,6,7,3,8] [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[1,7,5,4,3,2,8,6]=>[1,3,4,5,7,8,2,6] [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[1,7,4,3,2,8,6,5]=>[1,3,4,7,6,8,2,5] [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[1,7,3,2,8,6,5,4]=>[1,3,7,5,6,8,2,4] [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[1,7,8,6,5,4,3,2]=>[1,3,4,5,6,8,7,2] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[1,7,6,5,4,3,2,8]=>[1,3,4,5,6,7,2,8] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,8,6]=>[7,1,2,3,4,8,5,6]=>[7,5,4,3,2,1,8,6]=>[2,3,4,5,7,8,1,6] [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[7,1,2,3,4,8,5,6]=>[7,1,2,3,8,5,4,6]=>[7,4,3,2,1,8,6,5]=>[2,3,4,7,6,8,1,5] [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[7,1,2,3,8,4,5,6]=>[7,1,2,8,4,5,3,6]=>[7,3,2,1,8,6,5,4]=>[2,3,7,5,6,8,1,4] [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[7,1,2,8,3,4,5,6]=>[7,1,8,3,4,5,2,6]=>[7,2,1,8,6,5,4,3]=>[2,7,4,5,6,8,1,3] [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[7,1,8,2,3,4,5,6]=>[7,8,2,3,4,5,1,6]=>[7,1,8,6,5,4,3,2]=>[7,3,4,5,6,8,1,2] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[7,8,1,2,3,4,5,6]=>[8,1,2,3,4,5,7,6]=>[7,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,7,1] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[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] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5] [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,7,6,5,4]=>[1,2,3,5,6,7,8,4] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,3] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,2] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[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] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[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] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[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] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[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] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,9,7]=>[8,1,2,3,4,5,9,6,7]=>[8,6,5,4,3,2,1,9,7]=>[2,3,4,5,6,8,9,1,7] [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,9,1,3,4,5,6,7,8]=>[9,2,1,3,4,5,6,7,8]=>[2,9,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,9,1] [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[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] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[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] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,10,8]=>[9,1,2,3,4,5,6,10,7,8]=>[9,7,6,5,4,3,2,1,10,8]=>[2,3,4,5,6,7,9,10,1,8] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,9,8]=>[7,1,2,3,4,5,6,9,8]=>[7,6,5,4,3,2,1,9,8]=>[2,3,4,5,6,7,1,9,8] [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2,1,9,3,4,5,6,7,8]=>[2,1,9,3,4,5,6,7,8]=>[2,1,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,3] [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,8,1,3,4,5,6,7,9]=>[8,2,1,3,4,5,6,7,9]=>[2,8,7,6,5,4,3,1,9]=>[3,2,4,5,6,7,8,1,9] [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[2,10,1,3,4,5,6,7,8,9]=>[10,2,1,3,4,5,6,7,8,9]=>[2,10,9,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,9,10,1] [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[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] [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7,10,9]=>[8,1,2,3,4,5,6,7,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[2,3,4,5,6,7,8,1,10,9] [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2,1,10,3,4,5,6,7,8,9]=>[2,1,10,3,4,5,6,7,8,9]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,10,3] [1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[2,11,1,3,4,5,6,7,8,9,10]=>[11,2,1,3,4,5,6,7,8,9,10]=>[2,11,10,9,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,9,10,11,1] [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,8,11,10]=>[9,1,2,3,4,5,6,7,8,11,10]=>[9,8,7,6,5,4,3,2,1,11,10]=>[2,3,4,5,6,7,8,9,1,11,10] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>[1,7,2,3,4,5,6,9,8]=>[1,7,2,3,4,5,6,9,8]=>[1,7,6,5,4,3,2,9,8]=>[1,3,4,5,6,7,2,9,8] [1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,1,8,3,4,5,6,7,9]=>[2,1,8,3,4,5,6,7,9]=>[2,1,8,7,6,5,4,3,9]=>[2,1,4,5,6,7,8,3,9] [1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2,1,11,3,4,5,6,7,8,9,10]=>[2,1,11,3,4,5,6,7,8,9,10]=>[2,1,11,10,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,10,11,3] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,8,9,6,7]=>[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,8,9,6,7] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[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] [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[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] [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,4,1,3,5,6,7,8,9]=>[4,2,1,3,5,6,7,8,9]=>[2,4,3,1,5,6,7,8,9]=>[3,2,4,1,5,6,7,8,9] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[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] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[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] [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,3,9,2,4,5,6,7,8]=>[1,9,3,2,4,5,6,7,8]=>[1,3,9,8,7,6,5,4,2]=>[1,4,3,5,6,7,8,9,2] [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[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] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0]=>[1,2,3,4,5,6,9,7,10,8]=>[1,2,3,4,5,6,9,10,7,8]=>[1,2,3,4,5,6,9,7,10,8]=>[1,2,3,4,5,6,9,10,7,8] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[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] [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,1,2,3,4,5,8,7,9]=>[6,1,2,3,4,5,8,7,9]=>[6,5,4,3,2,1,8,7,9]=>[2,3,4,5,6,1,8,7,9] [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,3,9,1,4,5,6,7,8]=>[9,2,3,1,4,5,6,7,8]=>[2,3,9,8,7,6,5,4,1]=>[4,2,3,5,6,7,8,9,1] [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[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] [1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,4,1,3,5,6,7,8,9,10]=>[4,2,1,3,5,6,7,8,9,10]=>[2,4,3,1,5,6,7,8,9,10]=>[3,2,4,1,5,6,7,8,9,10] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[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] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[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] [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,2,3,4,5,8,9,7]=>[6,1,2,3,4,5,9,8,7]=>[6,5,4,3,2,1,8,9,7]=>[2,3,4,5,6,1,9,8,7] [1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,3,1,9,4,5,6,7,8]=>[3,2,1,9,4,5,6,7,8]=>[2,3,1,9,8,7,6,5,4]=>[3,2,1,5,6,7,8,9,4] [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[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] []=>[]=>[]=>[]=>[] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,5,6,7,8,9,1,2]=>[9,1,3,4,5,6,7,8,2]=>[3,4,5,6,7,8,9,2,1]=>[2,9,3,4,5,6,7,8,1] [1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3,1,2,9,4,5,6,7,8]=>[3,1,2,9,4,5,6,7,8]=>[3,2,1,9,8,7,6,5,4]=>[2,3,1,5,6,7,8,9,4] [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[3,1,9,2,4,5,6,7,8]=>[3,9,1,2,4,5,6,7,8]=>[3,1,9,8,7,6,5,4,2]=>[3,4,1,5,6,7,8,9,2] [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[3,9,1,2,4,5,6,7,8]=>[9,1,3,2,4,5,6,7,8]=>[3,9,8,7,6,5,4,2,1]=>[2,4,3,5,6,7,8,9,1] [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,5,6,7,8,9,2,3]=>[1,9,2,4,5,6,7,8,3]=>[1,4,5,6,7,8,9,3,2]=>[1,3,9,4,5,6,7,8,2] [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,4,2,3,5,6,7,8,9]=>[1,4,2,3,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[1,3,4,2,5,6,7,8,9] [1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4,1,2,3,9,5,6,7,8]=>[4,1,2,3,9,5,6,7,8]=>[4,3,2,1,9,8,7,6,5]=>[2,3,4,1,6,7,8,9,5] [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[4,1,2,3,5,6,7,8,9]=>[4,1,2,3,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9] [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[5,1,6,2,7,3,9,4,8]=>[5,6,7,9,1,2,3,4,8]=>[5,1,6,2,7,3,9,8,4]=>[5,6,7,8,1,2,3,9,4] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5,1,2,3,4,9,6,7,8]=>[5,1,2,3,4,9,6,7,8]=>[5,4,3,2,1,9,8,7,6]=>[2,3,4,5,1,7,8,9,6] [1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[5,9,1,2,3,4,6,7,8]=>[9,1,2,3,5,4,6,7,8]=>[5,9,8,7,6,4,3,2,1]=>[2,3,4,6,5,7,8,9,1] [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[5,1,2,3,4,6,7,8,9]=>[5,1,2,3,4,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[2,3,4,5,1,6,7,8,9] [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,6,7,8,5]=>[6,7,8,9,5,4,3,2,1]=>[2,3,4,5,9,6,7,8,1] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>[6,1,2,3,4,5,9,7,8]=>[6,1,2,3,4,5,9,7,8]=>[6,5,4,3,2,1,9,8,7]=>[2,3,4,5,6,1,8,9,7] [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[6,1,2,3,4,5,7,8,9]=>[6,1,2,3,4,5,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[2,3,4,5,6,1,7,8,9] [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]=>[1,7,9,2,3,4,5,6,8]=>[1,9,2,3,4,5,7,6,8]=>[1,7,9,8,6,5,4,3,2]=>[1,3,4,5,6,8,7,9,2] [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[7,8,9,1,2,3,4,5,6]=>[9,1,2,3,4,5,7,8,6]=>[7,8,9,6,5,4,3,2,1]=>[2,3,4,5,6,9,7,8,1] [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[7,8,1,2,3,4,5,6,9]=>[8,1,2,3,4,5,7,6,9]=>[7,8,6,5,4,3,2,1,9]=>[2,3,4,5,6,8,7,1,9] [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[7,1,9,2,3,4,5,6,8]=>[7,9,2,3,4,5,1,6,8]=>[7,1,9,8,6,5,4,3,2]=>[7,3,4,5,6,8,1,9,2] [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[7,9,1,2,3,4,5,6,8]=>[9,1,2,3,4,5,7,6,8]=>[7,9,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,7,9,1] [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[7,1,2,3,4,5,6,8,9]=>[7,1,2,3,4,5,6,8,9]=>[7,6,5,4,3,2,1,8,9]=>[2,3,4,5,6,7,1,8,9] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[1,2,3,4,5,8,9,6,7]=>[1,2,3,4,5,9,6,8,7]=>[1,2,3,4,5,8,9,7,6]=>[1,2,3,4,5,7,9,8,6] [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[1,8,9,2,3,4,5,6,7]=>[1,9,2,3,4,5,6,8,7]=>[1,8,9,7,6,5,4,3,2]=>[1,3,4,5,6,7,9,8,2] [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,8,2,3,4,5,6,7,9]=>[1,8,2,3,4,5,6,7,9]=>[1,8,7,6,5,4,3,2,9]=>[1,3,4,5,6,7,8,2,9] [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[8,1,9,2,3,4,5,6,7]=>[8,9,2,3,4,5,6,1,7]=>[8,1,9,7,6,5,4,3,2]=>[8,3,4,5,6,7,9,1,2] [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[8,9,1,2,3,4,5,6,7]=>[9,1,2,3,4,5,6,8,7]=>[8,9,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,9,8,1] [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[8,1,2,3,4,5,6,7,9]=>[8,1,2,3,4,5,6,7,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,1,9] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,8,9,7] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,2,3,4,5,9,6,7,8]=>[1,2,3,4,5,9,6,7,8]=>[1,2,3,4,5,9,8,7,6]=>[1,2,3,4,5,7,8,9,6] [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,9,8,7,6,5]=>[1,2,3,4,6,7,8,9,5] [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,9,8,7,6,5,4]=>[1,2,3,5,6,7,8,9,4] [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,2,9,3,4,5,6,7,8]=>[1,2,9,3,4,5,6,7,8]=>[1,2,9,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,9,3] [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,2] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[9,1,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,8]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[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] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[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] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,4,5,6,7,9,1,8]=>[9,2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,9,8,1]=>[8,2,3,4,5,6,7,9,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,4,5,6,8,9,1,7]=>[9,2,3,4,5,6,1,8,7]=>[2,3,4,5,6,8,9,7,1]=>[7,2,3,4,5,6,9,8,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,7,8,9,1,6]=>[9,2,3,4,5,1,7,8,6]=>[2,3,4,5,7,8,9,6,1]=>[6,2,3,4,5,9,7,8,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,5,6,7,8,9,1,4]=>[9,2,3,1,5,6,7,8,4]=>[2,3,5,6,7,8,9,4,1]=>[4,2,3,9,5,6,7,8,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,5,6,7,8,9,1,3]=>[9,2,1,4,5,6,7,8,3]=>[2,4,5,6,7,8,9,3,1]=>[3,2,9,4,5,6,7,8,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[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] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[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] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,4,5,6,7,8,10,1,9]=>[10,2,3,4,5,6,7,8,1,9]=>[2,3,4,5,6,7,8,10,9,1]=>[9,2,3,4,5,6,7,8,10,1] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,4,5,6,1,9,7,8]=>[6,2,3,4,5,1,9,7,8]=>[2,3,4,5,6,1,9,8,7]=>[6,2,3,4,5,1,8,9,7] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,9,10,1,8]=>[10,2,3,4,5,6,7,1,9,8]=>[2,3,4,5,6,7,9,10,8,1]=>[8,2,3,4,5,6,7,10,9,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,8,9,10,1,7]=>[10,2,3,4,5,6,1,8,9,7]=>[2,3,4,5,6,8,9,10,7,1]=>[7,2,3,4,5,6,10,8,9,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,6,7,8,9,10,1,5]=>[10,2,3,4,1,6,7,8,9,5]=>[2,3,4,6,7,8,9,10,5,1]=>[5,2,3,4,10,6,7,8,9,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,5,6,7,8,9,10,1,4]=>[10,2,3,1,5,6,7,8,9,4]=>[2,3,5,6,7,8,9,10,4,1]=>[4,2,3,10,5,6,7,8,9,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,5,6,7,8,9,10,1,2]=>[10,1,3,4,5,6,7,8,9,2]=>[3,4,5,6,7,8,9,10,2,1]=>[2,10,3,4,5,6,7,8,9,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[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] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,11,1,10]=>[11,2,3,4,5,6,7,8,9,1,10]=>[2,3,4,5,6,7,8,9,11,10,1]=>[10,2,3,4,5,6,7,8,9,11,1] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,4,5,6,9,1,7,8]=>[9,2,3,4,5,6,1,7,8]=>[2,3,4,5,6,9,8,7,1]=>[7,2,3,4,5,6,8,9,1] [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[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] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,5,6,7,8,9,10,11,1,2]=>[11,1,3,4,5,6,7,8,9,10,2]=>[3,4,5,6,7,8,9,10,11,2,1]=>[2,11,3,4,5,6,7,8,9,10,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,4,5,6,7,10,1,8,9]=>[10,2,3,4,5,6,7,1,8,9]=>[2,3,4,5,6,7,10,9,8,1]=>[8,2,3,4,5,6,7,9,10,1] [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[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] [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[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] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[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] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[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] [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[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] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[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] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,9]=>[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] [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,6,5,7,8,9]=>[2,1,4,3,6,5,7,8,9]=>[2,1,4,3,6,5,7,8,9]=>[2,1,4,3,6,5,7,8,9] [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[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] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[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] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[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] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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] [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[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] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,9,8]=>[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] [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[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] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[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] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[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] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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] [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[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] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[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] [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[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] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[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] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[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] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[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] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[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] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[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] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[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] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[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] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,8,7,10,9]=>[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] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,6,5,8,7,9,10]=>[2,1,4,3,6,5,8,7,9,10]=>[2,1,4,3,6,5,8,7,9,10]=>[2,1,4,3,6,5,8,7,9,10] [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[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] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6,9,8,10]=>[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] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[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] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[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] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[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] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[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] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[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] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,5,6,7,8,9,2]=>[3,9,1,4,5,6,7,8,2]=>[3,1,4,5,6,7,8,9,2]=>[3,9,1,4,5,6,7,8,2] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,4,5,6,1,7,8,9,2]=>[6,9,3,4,5,1,7,8,2]=>[3,4,5,6,1,7,8,9,2]=>[6,9,3,4,5,1,7,8,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,4,5,6,7,1,8,9,2]=>[7,9,3,4,5,6,1,8,2]=>[3,4,5,6,7,1,8,9,2]=>[7,9,3,4,5,6,1,8,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,4,5,6,7,8,1,9,2]=>[8,9,3,4,5,6,7,1,2]=>[3,4,5,6,7,8,1,9,2]=>[8,9,3,4,5,6,7,1,2] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,5,6,7,8,9,10,2]=>[3,10,1,4,5,6,7,8,9,2]=>[3,1,4,5,6,7,8,9,10,2]=>[3,10,1,4,5,6,7,8,9,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,4,5,6,7,8,9,1,10,2]=>[9,10,3,4,5,6,7,8,1,2]=>[3,4,5,6,7,8,9,1,10,2]=>[9,10,3,4,5,6,7,8,1,2] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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] [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[9,1,2,3,4,5,6,7,8,10]=>[9,1,2,3,4,5,6,7,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,1,10] [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,10,2] [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]=>[10,1,2,3,4,5,6,7,8,9,11]=>[10,1,2,3,4,5,6,7,8,9,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[2,3,4,5,6,7,8,9,10,1,11] [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>[8,9,1,2,3,4,5,6,7,10]=>[9,1,2,3,4,5,6,8,7,10]=>[8,9,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,9,8,1,10] [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,10,11,2] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[3,1,4,5,6,7,8,2,9]=>[3,8,1,4,5,6,7,2,9]=>[3,1,4,5,6,7,8,2,9]=>[3,8,1,4,5,6,7,2,9] [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,10,9,8]=>[1,2,3,4,5,6,7,9,10,8] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[1,2,3,4,5,6,7,8,11,9,10]=>[1,2,3,4,5,6,7,8,11,9,10]=>[1,2,3,4,5,6,7,8,11,10,9]=>[1,2,3,4,5,6,7,8,10,11,9] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,4,2,5,6,7,8,9,3]=>[1,4,9,2,5,6,7,8,3]=>[1,4,2,5,6,7,8,9,3]=>[1,4,9,2,5,6,7,8,3] [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[10,1,2,3,4,5,6,7,8,9]=>[10,1,2,3,4,5,6,7,8,9]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1] [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[8,1,2,3,4,5,6,7,9,10]=>[8,1,2,3,4,5,6,7,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[2,3,4,5,6,7,8,1,9,10] [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[7,1,2,3,4,5,6,8,9,10]=>[7,1,2,3,4,5,6,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[2,3,4,5,6,7,1,8,9,10] [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[6,1,2,3,4,5,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10] [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,1,2,3,4,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10] [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[4,1,2,3,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10] [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[11,1,2,3,4,5,6,7,8,9,10]=>[11,1,2,3,4,5,6,7,8,9,10]=>[11,10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,11,1] [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,1,4,2,5,6,7,8,9]=>[3,4,1,2,5,6,7,8,9]=>[3,1,4,2,5,6,7,8,9]=>[3,4,1,2,5,6,7,8,9] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,1,2,3,4,7,5,8,9]=>[6,1,2,3,7,4,5,8,9]=>[6,4,3,2,1,7,5,8,9]=>[2,3,4,6,7,1,5,8,9] [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,5,1,6,7,8,9,4]=>[5,2,3,9,1,6,7,8,4]=>[2,3,5,1,6,7,8,9,4]=>[5,2,3,9,1,6,7,8,4] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,4,5,6,7,8,2,9,3]=>[1,8,9,4,5,6,7,2,3]=>[1,4,5,6,7,8,2,9,3]=>[1,8,9,4,5,6,7,2,3] [1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,4,5,1,6,2,7,8,9]=>[5,6,3,4,1,2,7,8,9]=>[3,4,5,1,6,2,7,8,9]=>[5,6,3,4,1,2,7,8,9] [1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,1,2,3,4,7,6,8,9]=>[5,1,2,3,4,7,6,8,9]=>[5,4,3,2,1,7,6,8,9]=>[2,3,4,5,1,7,6,8,9] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[1,2,3,4,5,6,10,7,8,9]=>[1,2,3,4,5,6,10,7,8,9]=>[1,2,3,4,5,6,10,9,8,7]=>[1,2,3,4,5,6,8,9,10,7] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[1,2,3,4,5,10,6,7,8,9]=>[1,2,3,4,5,10,6,7,8,9]=>[1,2,3,4,5,10,9,8,7,6]=>[1,2,3,4,5,7,8,9,10,6] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,10,9,8,7,6,5]=>[1,2,3,4,6,7,8,9,10,5] [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[1,2,3,10,4,5,6,7,8,9]=>[1,2,3,10,4,5,6,7,8,9]=>[1,2,3,10,9,8,7,6,5,4]=>[1,2,3,5,6,7,8,9,10,4] [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[1,2,10,3,4,5,6,7,8,9]=>[1,2,10,3,4,5,6,7,8,9]=>[1,2,10,9,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,9,10,3] [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[1,2,3,4,7,5,8,6,9]=>[1,2,3,4,7,8,5,6,9]=>[1,2,3,4,7,5,8,6,9]=>[1,2,3,4,7,8,5,6,9] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,2,5,4,7,6,9,8]=>[3,1,2,5,4,7,6,9,8]=>[3,2,1,5,4,7,6,9,8]=>[2,3,1,5,4,7,6,9,8] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,2,5,4,7,6,9,8,10]=>[3,1,2,5,4,7,6,9,8,10]=>[3,2,1,5,4,7,6,9,8,10]=>[2,3,1,5,4,7,6,9,8,10] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,5,2,7,4,9,6,10,8]=>[3,5,1,7,2,9,4,10,6,8]=>[3,1,5,2,7,4,9,6,10,8]=>[3,5,1,7,2,9,4,10,6,8] [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,5,2,7,4,8,6,10,9]=>[3,5,1,7,2,8,4,6,10,9]=>[3,1,5,2,7,4,8,6,10,9]=>[3,5,1,7,2,8,4,6,10,9] [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,5,2,6,4,8,7,10,9]=>[3,5,1,6,2,4,8,7,10,9]=>[3,1,5,2,6,4,8,7,10,9]=>[3,5,1,6,2,4,8,7,10,9] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,4,2,6,5,8,7,10,9]=>[3,4,1,2,6,5,8,7,10,9]=>[3,1,4,2,6,5,8,7,10,9]=>[3,4,1,2,6,5,8,7,10,9] [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[1,9,2,3,4,5,6,7,8,10]=>[1,9,2,3,4,5,6,7,8,10]=>[1,9,8,7,6,5,4,3,2,10]=>[1,3,4,5,6,7,8,9,2,10] [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[6,1,7,2,8,3,9,4,10,5]=>[6,7,8,9,10,1,2,3,4,5]=>[6,1,7,2,8,3,9,4,10,5]=>[6,7,8,9,10,1,2,3,4,5] [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[7,1,8,2,9,3,10,4,11,5,12,6]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[7,1,8,2,9,3,10,4,11,5,12,6]=>[7,8,9,10,11,12,1,2,3,4,5,6] [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[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] [1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[3,1,10,2,4,5,6,7,8,9]=>[3,10,1,2,4,5,6,7,8,9]=>[3,1,10,9,8,7,6,5,4,2]=>[3,4,1,5,6,7,8,9,10,2] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,5,6,7,8,9,10,11,2]=>[3,11,1,4,5,6,7,8,9,10,2]=>[3,1,4,5,6,7,8,9,10,11,2]=>[3,11,1,4,5,6,7,8,9,10,2] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[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] [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[6,7,8,9,10,1,2,3,4,5]=>[10,1,2,3,4,6,7,8,9,5]=>[6,7,8,9,10,5,4,3,2,1]=>[2,3,4,5,10,6,7,8,9,1] [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]=>[9,1,10,2,3,4,5,6,7,8]=>[9,10,2,3,4,5,6,7,1,8]=>[9,1,10,8,7,6,5,4,3,2]=>[9,3,4,5,6,7,8,10,1,2] [1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[5,10,1,2,3,4,6,7,8,9]=>[10,1,2,3,5,4,6,7,8,9]=>[5,10,9,8,7,6,4,3,2,1]=>[2,3,4,6,5,7,8,9,10,1] [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[9,10,1,2,3,4,5,6,7,8]=>[10,1,2,3,4,5,6,7,9,8]=>[9,10,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,10,9,1] [1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]=>[10,11,1,2,3,4,5,6,7,8,9]=>[11,1,2,3,4,5,6,7,8,10,9]=>[10,11,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,11,10,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,4,5,6,8,1,9,7]=>[8,2,3,4,5,6,9,1,7]=>[2,3,4,5,6,8,1,9,7]=>[8,2,3,4,5,6,9,1,7] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,9,1,10,8]=>[9,2,3,4,5,6,7,10,1,8]=>[2,3,4,5,6,7,9,1,10,8]=>[9,2,3,4,5,6,7,10,1,8] [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[7,8,9,10,1,2,3,4,5,6]=>[10,1,2,3,4,5,7,8,9,6]=>[7,8,9,10,6,5,4,3,2,1]=>[2,3,4,5,6,10,7,8,9,1] [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[8,9,10,1,2,3,4,5,6,7]=>[10,1,2,3,4,5,6,8,9,7]=>[8,9,10,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,10,8,9,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,4,5,6,7,8,9,10,1,11,2]=>[10,11,3,4,5,6,7,8,9,1,2]=>[3,4,5,6,7,8,9,10,1,11,2]=>[10,11,3,4,5,6,7,8,9,1,2] [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,1,2,3,6,5,8,7,9]=>[4,1,2,3,6,5,8,7,9]=>[4,3,2,1,6,5,8,7,9]=>[2,3,4,1,6,5,8,7,9] [1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3,1,2,10,4,5,6,7,8,9]=>[3,1,2,10,4,5,6,7,8,9]=>[3,2,1,10,9,8,7,6,5,4]=>[2,3,1,5,6,7,8,9,10,4] [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[5,1,2,3,4,10,6,7,8,9]=>[5,1,2,3,4,10,6,7,8,9]=>[5,4,3,2,1,10,9,8,7,6]=>[2,3,4,5,1,7,8,9,10,6] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,10,1,11,9]=>[10,2,3,4,5,6,7,8,11,1,9]=>[2,3,4,5,6,7,8,10,1,11,9]=>[10,2,3,4,5,6,7,8,11,1,9] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0]=>[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] [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,6,1,7,8,9,10,5]=>[6,2,3,4,10,1,7,8,9,5]=>[2,3,4,6,1,7,8,9,10,5]=>[6,2,3,4,10,1,7,8,9,5] [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[4,5,6,7,1,8,2,9,3]=>[7,8,9,4,5,6,1,2,3]=>[4,5,6,7,1,8,2,9,3]=>[7,8,9,4,5,6,1,2,3] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,4,5,1,9,6,7,8]=>[5,2,3,4,1,9,6,7,8]=>[2,3,4,5,1,9,8,7,6]=>[5,2,3,4,1,7,8,9,6] [1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0]=>[1,12,2,3,4,5,6,7,8,9,10,11]=>[1,12,2,3,4,5,6,7,8,9,10,11]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,10,11,12,2] [1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1,10,2,3,4,5,6,7,9]=>[8,10,2,3,4,5,6,1,7,9]=>[8,1,10,9,7,6,5,4,3,2]=>[8,3,4,5,6,7,9,1,10,2] [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[2,1,7,3,8,4,9,5,10,6]=>[2,1,7,8,9,10,3,4,5,6]=>[2,1,7,3,8,4,9,5,10,6]=>[2,1,7,8,9,10,3,4,5,6] [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[2,1,5,6,3,4,9,10,7,8,12,11]=>[2,1,6,3,5,4,10,7,9,8,12,11]=>[2,1,5,6,4,3,9,10,8,7,12,11]=>[2,1,4,6,5,3,8,10,9,7,12,11] [1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[2,1,8,3,9,4,10,5,11,6,12,7]=>[2,1,8,9,10,11,12,3,4,5,6,7]=>[2,1,8,3,9,4,10,5,11,6,12,7]=>[2,1,8,9,10,11,12,3,4,5,6,7] [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,5,3,6,4,8,7,10,9]=>[2,1,5,6,3,4,8,7,10,9]=>[2,1,5,3,6,4,8,7,10,9]=>[2,1,5,6,3,4,8,7,10,9] [1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[3,1,4,2,9,5,10,6,11,7,12,8]=>[3,4,1,2,9,10,11,12,5,6,7,8]=>[3,1,4,2,9,5,10,6,11,7,12,8]=>[3,4,1,2,9,10,11,12,5,6,7,8] [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,4,1,3,6,5,8,7,10,9]=>[4,2,1,3,6,5,8,7,10,9]=>[2,4,3,1,6,5,8,7,10,9]=>[3,2,4,1,6,5,8,7,10,9] [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,6,2,8,3,9,5,10,7]=>[4,6,8,1,9,2,10,3,5,7]=>[4,1,6,2,8,3,9,5,10,7]=>[4,6,8,1,9,2,10,3,5,7] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[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] [1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[11,1,2,3,4,5,6,7,8,9,10,12]=>[11,1,2,3,4,5,6,7,8,9,10,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,1,12] [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,6,2,7,3,8,4,9,5]=>[1,6,7,8,9,2,3,4,5]=>[1,6,2,7,3,8,4,9,5]=>[1,6,7,8,9,2,3,4,5] [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[5,1,6,2,7,3,8,4,9]=>[5,6,7,8,1,2,3,4,9]=>[5,1,6,2,7,3,8,4,9]=>[5,6,7,8,1,2,3,4,9] [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[5,1,7,2,8,3,9,4,10,6]=>[5,7,8,9,1,10,2,3,4,6]=>[5,1,7,2,8,3,9,4,10,6]=>[5,7,8,9,1,10,2,3,4,6]
Map
to 321-avoiding permutation (Billey-Jockusch-Stanley)
Description
The Billey-Jockusch-Stanley bijection to 321-avoiding permutations.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
  • the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
  • the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
  • the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
  • the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
  • the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.
Map
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
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
This map is similar to Mp00235descent views to invisible inversion bottoms, but different beginning with permutations of six elements.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
  • the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
  • the set of left-to-right maximima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
  • the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
  • the set of maximal elements in the decreasing runs of $\pi$ is the set of deficiency positions of $\chi(\pi)$, and
  • the set of minimal elements in the decreasing runs of $\pi$ is the set of deficiency values of $\chi(\pi)$.