Identifier
Mp00025: Dyck paths —to 132-avoiding permutation⟶ Permutations
Mp00252: Permutations —restriction⟶ Permutations
Mp00067: Permutations —Foata bijection⟶ Permutations
Images
=>
Cc0005;cc-rep-0
[1,0]=>[1]=>[]=>[] [1,0,1,0]=>[2,1]=>[1]=>[1] [1,1,0,0]=>[1,2]=>[1]=>[1] [1,0,1,0,1,0]=>[3,2,1]=>[2,1]=>[2,1] [1,0,1,1,0,0]=>[2,3,1]=>[2,1]=>[2,1] [1,1,0,0,1,0]=>[3,1,2]=>[1,2]=>[1,2] [1,1,0,1,0,0]=>[2,1,3]=>[2,1]=>[2,1] [1,1,1,0,0,0]=>[1,2,3]=>[1,2]=>[1,2] [1,0,1,0,1,0,1,0]=>[4,3,2,1]=>[3,2,1]=>[3,2,1] [1,0,1,0,1,1,0,0]=>[3,4,2,1]=>[3,2,1]=>[3,2,1] [1,0,1,1,0,0,1,0]=>[4,2,3,1]=>[2,3,1]=>[2,3,1] [1,0,1,1,0,1,0,0]=>[3,2,4,1]=>[3,2,1]=>[3,2,1] [1,0,1,1,1,0,0,0]=>[2,3,4,1]=>[2,3,1]=>[2,3,1] [1,1,0,0,1,0,1,0]=>[4,3,1,2]=>[3,1,2]=>[1,3,2] [1,1,0,0,1,1,0,0]=>[3,4,1,2]=>[3,1,2]=>[1,3,2] [1,1,0,1,0,0,1,0]=>[4,2,1,3]=>[2,1,3]=>[2,1,3] [1,1,0,1,0,1,0,0]=>[3,2,1,4]=>[3,2,1]=>[3,2,1] [1,1,0,1,1,0,0,0]=>[2,3,1,4]=>[2,3,1]=>[2,3,1] [1,1,1,0,0,0,1,0]=>[4,1,2,3]=>[1,2,3]=>[1,2,3] [1,1,1,0,0,1,0,0]=>[3,1,2,4]=>[3,1,2]=>[1,3,2] [1,1,1,0,1,0,0,0]=>[2,1,3,4]=>[2,1,3]=>[2,1,3] [1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3]=>[1,2,3] [1,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1]=>[4,3,2,1]=>[4,3,2,1] [1,0,1,0,1,0,1,1,0,0]=>[4,5,3,2,1]=>[4,3,2,1]=>[4,3,2,1] [1,0,1,0,1,1,0,0,1,0]=>[5,3,4,2,1]=>[3,4,2,1]=>[3,4,2,1] [1,0,1,0,1,1,0,1,0,0]=>[4,3,5,2,1]=>[4,3,2,1]=>[4,3,2,1] [1,0,1,0,1,1,1,0,0,0]=>[3,4,5,2,1]=>[3,4,2,1]=>[3,4,2,1] [1,0,1,1,0,0,1,0,1,0]=>[5,4,2,3,1]=>[4,2,3,1]=>[2,4,3,1] [1,0,1,1,0,0,1,1,0,0]=>[4,5,2,3,1]=>[4,2,3,1]=>[2,4,3,1] [1,0,1,1,0,1,0,0,1,0]=>[5,3,2,4,1]=>[3,2,4,1]=>[3,2,4,1] [1,0,1,1,0,1,0,1,0,0]=>[4,3,2,5,1]=>[4,3,2,1]=>[4,3,2,1] [1,0,1,1,0,1,1,0,0,0]=>[3,4,2,5,1]=>[3,4,2,1]=>[3,4,2,1] [1,0,1,1,1,0,0,0,1,0]=>[5,2,3,4,1]=>[2,3,4,1]=>[2,3,4,1] [1,0,1,1,1,0,0,1,0,0]=>[4,2,3,5,1]=>[4,2,3,1]=>[2,4,3,1] [1,0,1,1,1,0,1,0,0,0]=>[3,2,4,5,1]=>[3,2,4,1]=>[3,2,4,1] [1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[2,3,4,1]=>[2,3,4,1] [1,1,0,0,1,0,1,0,1,0]=>[5,4,3,1,2]=>[4,3,1,2]=>[1,4,3,2] [1,1,0,0,1,0,1,1,0,0]=>[4,5,3,1,2]=>[4,3,1,2]=>[1,4,3,2] [1,1,0,0,1,1,0,0,1,0]=>[5,3,4,1,2]=>[3,4,1,2]=>[1,3,4,2] [1,1,0,0,1,1,0,1,0,0]=>[4,3,5,1,2]=>[4,3,1,2]=>[1,4,3,2] [1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[3,4,1,2]=>[1,3,4,2] [1,1,0,1,0,0,1,0,1,0]=>[5,4,2,1,3]=>[4,2,1,3]=>[2,4,1,3] [1,1,0,1,0,0,1,1,0,0]=>[4,5,2,1,3]=>[4,2,1,3]=>[2,4,1,3] [1,1,0,1,0,1,0,0,1,0]=>[5,3,2,1,4]=>[3,2,1,4]=>[3,2,1,4] [1,1,0,1,0,1,0,1,0,0]=>[4,3,2,1,5]=>[4,3,2,1]=>[4,3,2,1] [1,1,0,1,0,1,1,0,0,0]=>[3,4,2,1,5]=>[3,4,2,1]=>[3,4,2,1] [1,1,0,1,1,0,0,0,1,0]=>[5,2,3,1,4]=>[2,3,1,4]=>[2,3,1,4] [1,1,0,1,1,0,0,1,0,0]=>[4,2,3,1,5]=>[4,2,3,1]=>[2,4,3,1] [1,1,0,1,1,0,1,0,0,0]=>[3,2,4,1,5]=>[3,2,4,1]=>[3,2,4,1] [1,1,0,1,1,1,0,0,0,0]=>[2,3,4,1,5]=>[2,3,4,1]=>[2,3,4,1] [1,1,1,0,0,0,1,0,1,0]=>[5,4,1,2,3]=>[4,1,2,3]=>[1,2,4,3] [1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[4,1,2,3]=>[1,2,4,3] [1,1,1,0,0,1,0,0,1,0]=>[5,3,1,2,4]=>[3,1,2,4]=>[1,3,2,4] [1,1,1,0,0,1,0,1,0,0]=>[4,3,1,2,5]=>[4,3,1,2]=>[1,4,3,2] [1,1,1,0,0,1,1,0,0,0]=>[3,4,1,2,5]=>[3,4,1,2]=>[1,3,4,2] [1,1,1,0,1,0,0,0,1,0]=>[5,2,1,3,4]=>[2,1,3,4]=>[2,1,3,4] [1,1,1,0,1,0,0,1,0,0]=>[4,2,1,3,5]=>[4,2,1,3]=>[2,4,1,3] [1,1,1,0,1,0,1,0,0,0]=>[3,2,1,4,5]=>[3,2,1,4]=>[3,2,1,4] [1,1,1,0,1,1,0,0,0,0]=>[2,3,1,4,5]=>[2,3,1,4]=>[2,3,1,4] [1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[1,2,3,4]=>[1,2,3,4] [1,1,1,1,0,0,0,1,0,0]=>[4,1,2,3,5]=>[4,1,2,3]=>[1,2,4,3] [1,1,1,1,0,0,1,0,0,0]=>[3,1,2,4,5]=>[3,1,2,4]=>[1,3,2,4] [1,1,1,1,0,1,0,0,0,0]=>[2,1,3,4,5]=>[2,1,3,4]=>[2,1,3,4] [1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4] [1,0,1,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1] [1,0,1,0,1,0,1,0,1,1,0,0]=>[5,6,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1] [1,0,1,0,1,0,1,1,0,0,1,0]=>[6,4,5,3,2,1]=>[4,5,3,2,1]=>[4,5,3,2,1] [1,0,1,0,1,0,1,1,0,1,0,0]=>[5,4,6,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1] [1,0,1,0,1,0,1,1,1,0,0,0]=>[4,5,6,3,2,1]=>[4,5,3,2,1]=>[4,5,3,2,1] [1,0,1,0,1,1,0,0,1,0,1,0]=>[6,5,3,4,2,1]=>[5,3,4,2,1]=>[3,5,4,2,1] [1,0,1,0,1,1,0,0,1,1,0,0]=>[5,6,3,4,2,1]=>[5,3,4,2,1]=>[3,5,4,2,1] [1,0,1,0,1,1,0,1,0,0,1,0]=>[6,4,3,5,2,1]=>[4,3,5,2,1]=>[4,3,5,2,1] [1,0,1,0,1,1,0,1,0,1,0,0]=>[5,4,3,6,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1] [1,0,1,0,1,1,0,1,1,0,0,0]=>[4,5,3,6,2,1]=>[4,5,3,2,1]=>[4,5,3,2,1] [1,0,1,0,1,1,1,0,0,0,1,0]=>[6,3,4,5,2,1]=>[3,4,5,2,1]=>[3,4,5,2,1] [1,0,1,0,1,1,1,0,0,1,0,0]=>[5,3,4,6,2,1]=>[5,3,4,2,1]=>[3,5,4,2,1] [1,0,1,0,1,1,1,0,1,0,0,0]=>[4,3,5,6,2,1]=>[4,3,5,2,1]=>[4,3,5,2,1] [1,0,1,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,2,1]=>[3,4,5,2,1]=>[3,4,5,2,1] [1,0,1,1,0,0,1,0,1,0,1,0]=>[6,5,4,2,3,1]=>[5,4,2,3,1]=>[2,5,4,3,1] [1,0,1,1,0,0,1,0,1,1,0,0]=>[5,6,4,2,3,1]=>[5,4,2,3,1]=>[2,5,4,3,1] [1,0,1,1,0,0,1,1,0,0,1,0]=>[6,4,5,2,3,1]=>[4,5,2,3,1]=>[2,4,5,3,1] [1,0,1,1,0,0,1,1,0,1,0,0]=>[5,4,6,2,3,1]=>[5,4,2,3,1]=>[2,5,4,3,1] [1,0,1,1,0,0,1,1,1,0,0,0]=>[4,5,6,2,3,1]=>[4,5,2,3,1]=>[2,4,5,3,1] [1,0,1,1,0,1,0,0,1,0,1,0]=>[6,5,3,2,4,1]=>[5,3,2,4,1]=>[3,5,2,4,1] [1,0,1,1,0,1,0,0,1,1,0,0]=>[5,6,3,2,4,1]=>[5,3,2,4,1]=>[3,5,2,4,1] [1,0,1,1,0,1,0,1,0,0,1,0]=>[6,4,3,2,5,1]=>[4,3,2,5,1]=>[4,3,2,5,1] [1,0,1,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,1]=>[5,4,3,2,1]=>[5,4,3,2,1] [1,0,1,1,0,1,0,1,1,0,0,0]=>[4,5,3,2,6,1]=>[4,5,3,2,1]=>[4,5,3,2,1] [1,0,1,1,0,1,1,0,0,0,1,0]=>[6,3,4,2,5,1]=>[3,4,2,5,1]=>[3,4,2,5,1] [1,0,1,1,0,1,1,0,0,1,0,0]=>[5,3,4,2,6,1]=>[5,3,4,2,1]=>[3,5,4,2,1] [1,0,1,1,0,1,1,0,1,0,0,0]=>[4,3,5,2,6,1]=>[4,3,5,2,1]=>[4,3,5,2,1] [1,0,1,1,0,1,1,1,0,0,0,0]=>[3,4,5,2,6,1]=>[3,4,5,2,1]=>[3,4,5,2,1] [1,0,1,1,1,0,0,0,1,0,1,0]=>[6,5,2,3,4,1]=>[5,2,3,4,1]=>[2,3,5,4,1] [1,0,1,1,1,0,0,0,1,1,0,0]=>[5,6,2,3,4,1]=>[5,2,3,4,1]=>[2,3,5,4,1] [1,0,1,1,1,0,0,1,0,0,1,0]=>[6,4,2,3,5,1]=>[4,2,3,5,1]=>[2,4,3,5,1] [1,0,1,1,1,0,0,1,0,1,0,0]=>[5,4,2,3,6,1]=>[5,4,2,3,1]=>[2,5,4,3,1] [1,0,1,1,1,0,0,1,1,0,0,0]=>[4,5,2,3,6,1]=>[4,5,2,3,1]=>[2,4,5,3,1] [1,0,1,1,1,0,1,0,0,0,1,0]=>[6,3,2,4,5,1]=>[3,2,4,5,1]=>[3,2,4,5,1] [1,0,1,1,1,0,1,0,0,1,0,0]=>[5,3,2,4,6,1]=>[5,3,2,4,1]=>[3,5,2,4,1] [1,0,1,1,1,0,1,0,1,0,0,0]=>[4,3,2,5,6,1]=>[4,3,2,5,1]=>[4,3,2,5,1] [1,0,1,1,1,0,1,1,0,0,0,0]=>[3,4,2,5,6,1]=>[3,4,2,5,1]=>[3,4,2,5,1] [1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>[2,3,4,5,1] [1,0,1,1,1,1,0,0,0,1,0,0]=>[5,2,3,4,6,1]=>[5,2,3,4,1]=>[2,3,5,4,1] [1,0,1,1,1,1,0,0,1,0,0,0]=>[4,2,3,5,6,1]=>[4,2,3,5,1]=>[2,4,3,5,1] [1,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,4,5,6,1]=>[3,2,4,5,1]=>[3,2,4,5,1] [1,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,6,1]=>[2,3,4,5,1]=>[2,3,4,5,1] [1,1,0,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,1,2]=>[5,4,3,1,2]=>[1,5,4,3,2] [1,1,0,0,1,0,1,0,1,1,0,0]=>[5,6,4,3,1,2]=>[5,4,3,1,2]=>[1,5,4,3,2] [1,1,0,0,1,0,1,1,0,0,1,0]=>[6,4,5,3,1,2]=>[4,5,3,1,2]=>[1,4,5,3,2] [1,1,0,0,1,0,1,1,0,1,0,0]=>[5,4,6,3,1,2]=>[5,4,3,1,2]=>[1,5,4,3,2] [1,1,0,0,1,0,1,1,1,0,0,0]=>[4,5,6,3,1,2]=>[4,5,3,1,2]=>[1,4,5,3,2] [1,1,0,0,1,1,0,0,1,0,1,0]=>[6,5,3,4,1,2]=>[5,3,4,1,2]=>[1,3,5,4,2] [1,1,0,0,1,1,0,0,1,1,0,0]=>[5,6,3,4,1,2]=>[5,3,4,1,2]=>[1,3,5,4,2] [1,1,0,0,1,1,0,1,0,0,1,0]=>[6,4,3,5,1,2]=>[4,3,5,1,2]=>[1,4,3,5,2] [1,1,0,0,1,1,0,1,0,1,0,0]=>[5,4,3,6,1,2]=>[5,4,3,1,2]=>[1,5,4,3,2] [1,1,0,0,1,1,0,1,1,0,0,0]=>[4,5,3,6,1,2]=>[4,5,3,1,2]=>[1,4,5,3,2] [1,1,0,0,1,1,1,0,0,0,1,0]=>[6,3,4,5,1,2]=>[3,4,5,1,2]=>[1,3,4,5,2] [1,1,0,0,1,1,1,0,0,1,0,0]=>[5,3,4,6,1,2]=>[5,3,4,1,2]=>[1,3,5,4,2] [1,1,0,0,1,1,1,0,1,0,0,0]=>[4,3,5,6,1,2]=>[4,3,5,1,2]=>[1,4,3,5,2] [1,1,0,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,1,2]=>[3,4,5,1,2]=>[1,3,4,5,2] [1,1,0,1,0,0,1,0,1,0,1,0]=>[6,5,4,2,1,3]=>[5,4,2,1,3]=>[2,5,4,1,3] [1,1,0,1,0,0,1,0,1,1,0,0]=>[5,6,4,2,1,3]=>[5,4,2,1,3]=>[2,5,4,1,3] [1,1,0,1,0,0,1,1,0,0,1,0]=>[6,4,5,2,1,3]=>[4,5,2,1,3]=>[2,4,5,1,3] [1,1,0,1,0,0,1,1,0,1,0,0]=>[5,4,6,2,1,3]=>[5,4,2,1,3]=>[2,5,4,1,3] [1,1,0,1,0,0,1,1,1,0,0,0]=>[4,5,6,2,1,3]=>[4,5,2,1,3]=>[2,4,5,1,3] [1,1,0,1,0,1,0,0,1,0,1,0]=>[6,5,3,2,1,4]=>[5,3,2,1,4]=>[3,5,2,1,4] [1,1,0,1,0,1,0,0,1,1,0,0]=>[5,6,3,2,1,4]=>[5,3,2,1,4]=>[3,5,2,1,4] [1,1,0,1,0,1,0,1,0,0,1,0]=>[6,4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5] [1,1,0,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,1,6]=>[5,4,3,2,1]=>[5,4,3,2,1] [1,1,0,1,0,1,0,1,1,0,0,0]=>[4,5,3,2,1,6]=>[4,5,3,2,1]=>[4,5,3,2,1] [1,1,0,1,0,1,1,0,0,0,1,0]=>[6,3,4,2,1,5]=>[3,4,2,1,5]=>[3,4,2,1,5] [1,1,0,1,0,1,1,0,0,1,0,0]=>[5,3,4,2,1,6]=>[5,3,4,2,1]=>[3,5,4,2,1] [1,1,0,1,0,1,1,0,1,0,0,0]=>[4,3,5,2,1,6]=>[4,3,5,2,1]=>[4,3,5,2,1] [1,1,0,1,0,1,1,1,0,0,0,0]=>[3,4,5,2,1,6]=>[3,4,5,2,1]=>[3,4,5,2,1] [1,1,0,1,1,0,0,0,1,0,1,0]=>[6,5,2,3,1,4]=>[5,2,3,1,4]=>[2,3,5,1,4] [1,1,0,1,1,0,0,0,1,1,0,0]=>[5,6,2,3,1,4]=>[5,2,3,1,4]=>[2,3,5,1,4] [1,1,0,1,1,0,0,1,0,0,1,0]=>[6,4,2,3,1,5]=>[4,2,3,1,5]=>[2,4,3,1,5] [1,1,0,1,1,0,0,1,0,1,0,0]=>[5,4,2,3,1,6]=>[5,4,2,3,1]=>[2,5,4,3,1] [1,1,0,1,1,0,0,1,1,0,0,0]=>[4,5,2,3,1,6]=>[4,5,2,3,1]=>[2,4,5,3,1] [1,1,0,1,1,0,1,0,0,0,1,0]=>[6,3,2,4,1,5]=>[3,2,4,1,5]=>[3,2,4,1,5] [1,1,0,1,1,0,1,0,0,1,0,0]=>[5,3,2,4,1,6]=>[5,3,2,4,1]=>[3,5,2,4,1] [1,1,0,1,1,0,1,0,1,0,0,0]=>[4,3,2,5,1,6]=>[4,3,2,5,1]=>[4,3,2,5,1] [1,1,0,1,1,0,1,1,0,0,0,0]=>[3,4,2,5,1,6]=>[3,4,2,5,1]=>[3,4,2,5,1] [1,1,0,1,1,1,0,0,0,0,1,0]=>[6,2,3,4,1,5]=>[2,3,4,1,5]=>[2,3,4,1,5] [1,1,0,1,1,1,0,0,0,1,0,0]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>[2,3,5,4,1] [1,1,0,1,1,1,0,0,1,0,0,0]=>[4,2,3,5,1,6]=>[4,2,3,5,1]=>[2,4,3,5,1] [1,1,0,1,1,1,0,1,0,0,0,0]=>[3,2,4,5,1,6]=>[3,2,4,5,1]=>[3,2,4,5,1] [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,1,6]=>[2,3,4,5,1]=>[2,3,4,5,1] [1,1,1,0,0,0,1,0,1,0,1,0]=>[6,5,4,1,2,3]=>[5,4,1,2,3]=>[1,2,5,4,3] [1,1,1,0,0,0,1,0,1,1,0,0]=>[5,6,4,1,2,3]=>[5,4,1,2,3]=>[1,2,5,4,3] [1,1,1,0,0,0,1,1,0,0,1,0]=>[6,4,5,1,2,3]=>[4,5,1,2,3]=>[1,2,4,5,3] [1,1,1,0,0,0,1,1,0,1,0,0]=>[5,4,6,1,2,3]=>[5,4,1,2,3]=>[1,2,5,4,3] [1,1,1,0,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3]=>[4,5,1,2,3]=>[1,2,4,5,3] [1,1,1,0,0,1,0,0,1,0,1,0]=>[6,5,3,1,2,4]=>[5,3,1,2,4]=>[1,3,5,2,4] [1,1,1,0,0,1,0,0,1,1,0,0]=>[5,6,3,1,2,4]=>[5,3,1,2,4]=>[1,3,5,2,4] [1,1,1,0,0,1,0,1,0,0,1,0]=>[6,4,3,1,2,5]=>[4,3,1,2,5]=>[1,4,3,2,5] [1,1,1,0,0,1,0,1,0,1,0,0]=>[5,4,3,1,2,6]=>[5,4,3,1,2]=>[1,5,4,3,2] [1,1,1,0,0,1,0,1,1,0,0,0]=>[4,5,3,1,2,6]=>[4,5,3,1,2]=>[1,4,5,3,2] [1,1,1,0,0,1,1,0,0,0,1,0]=>[6,3,4,1,2,5]=>[3,4,1,2,5]=>[1,3,4,2,5] [1,1,1,0,0,1,1,0,0,1,0,0]=>[5,3,4,1,2,6]=>[5,3,4,1,2]=>[1,3,5,4,2] [1,1,1,0,0,1,1,0,1,0,0,0]=>[4,3,5,1,2,6]=>[4,3,5,1,2]=>[1,4,3,5,2] [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,4,5,1,2,6]=>[3,4,5,1,2]=>[1,3,4,5,2] [1,1,1,0,1,0,0,0,1,0,1,0]=>[6,5,2,1,3,4]=>[5,2,1,3,4]=>[2,1,5,3,4] [1,1,1,0,1,0,0,0,1,1,0,0]=>[5,6,2,1,3,4]=>[5,2,1,3,4]=>[2,1,5,3,4] [1,1,1,0,1,0,0,1,0,0,1,0]=>[6,4,2,1,3,5]=>[4,2,1,3,5]=>[2,4,1,3,5] [1,1,1,0,1,0,0,1,0,1,0,0]=>[5,4,2,1,3,6]=>[5,4,2,1,3]=>[2,5,4,1,3] [1,1,1,0,1,0,0,1,1,0,0,0]=>[4,5,2,1,3,6]=>[4,5,2,1,3]=>[2,4,5,1,3] [1,1,1,0,1,0,1,0,0,0,1,0]=>[6,3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5] [1,1,1,0,1,0,1,0,0,1,0,0]=>[5,3,2,1,4,6]=>[5,3,2,1,4]=>[3,5,2,1,4] [1,1,1,0,1,0,1,0,1,0,0,0]=>[4,3,2,1,5,6]=>[4,3,2,1,5]=>[4,3,2,1,5] [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,2,1,5,6]=>[3,4,2,1,5]=>[3,4,2,1,5] [1,1,1,0,1,1,0,0,0,0,1,0]=>[6,2,3,1,4,5]=>[2,3,1,4,5]=>[2,3,1,4,5] [1,1,1,0,1,1,0,0,0,1,0,0]=>[5,2,3,1,4,6]=>[5,2,3,1,4]=>[2,3,5,1,4] [1,1,1,0,1,1,0,0,1,0,0,0]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>[2,4,3,1,5] [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,4,1,5,6]=>[3,2,4,1,5]=>[3,2,4,1,5] [1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,4,1,5,6]=>[2,3,4,1,5]=>[2,3,4,1,5] [1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,2,3,4]=>[5,1,2,3,4]=>[1,2,3,5,4] [1,1,1,1,0,0,0,0,1,1,0,0]=>[5,6,1,2,3,4]=>[5,1,2,3,4]=>[1,2,3,5,4] [1,1,1,1,0,0,0,1,0,0,1,0]=>[6,4,1,2,3,5]=>[4,1,2,3,5]=>[1,2,4,3,5] [1,1,1,1,0,0,0,1,0,1,0,0]=>[5,4,1,2,3,6]=>[5,4,1,2,3]=>[1,2,5,4,3] [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,5,1,2,3,6]=>[4,5,1,2,3]=>[1,2,4,5,3] [1,1,1,1,0,0,1,0,0,0,1,0]=>[6,3,1,2,4,5]=>[3,1,2,4,5]=>[1,3,2,4,5] [1,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,1,2,4,6]=>[5,3,1,2,4]=>[1,3,5,2,4] [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,3,1,2,5,6]=>[4,3,1,2,5]=>[1,4,3,2,5] [1,1,1,1,0,0,1,1,0,0,0,0]=>[3,4,1,2,5,6]=>[3,4,1,2,5]=>[1,3,4,2,5] [1,1,1,1,0,1,0,0,0,0,1,0]=>[6,2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5] [1,1,1,1,0,1,0,0,0,1,0,0]=>[5,2,1,3,4,6]=>[5,2,1,3,4]=>[2,1,5,3,4] [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,3,5,6]=>[4,2,1,3,5]=>[2,4,1,3,5] [1,1,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>[3,2,1,4,5] [1,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,1,4,5,6]=>[2,3,1,4,5]=>[2,3,1,4,5] [1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5] [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1,2,3,4,6]=>[5,1,2,3,4]=>[1,2,3,5,4] [1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,2,3,5,6]=>[4,1,2,3,5]=>[1,2,4,3,5] [1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,2,4,5,6]=>[3,1,2,4,5]=>[1,3,2,4,5] [1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>[2,1,3,4,5] [1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5] [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[5,6,4,3,2,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,3,2,1]=>[5,6,4,3,2,1]=>[5,6,4,3,2,1] [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,3,2,1]=>[6,4,5,3,2,1]=>[4,6,5,3,2,1] [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,3,2,1]=>[6,4,5,3,2,1]=>[4,6,5,3,2,1] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[5,4,6,3,2,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1] [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,3,2,1]=>[5,6,4,3,2,1]=>[5,6,4,3,2,1] [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,3,2,1]=>[4,5,6,3,2,1]=>[4,5,6,3,2,1] [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,3,2,1]=>[6,4,5,3,2,1]=>[4,6,5,3,2,1] [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,3,2,1]=>[5,4,6,3,2,1]=>[5,4,6,3,2,1] [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,3,2,1]=>[4,5,6,3,2,1]=>[4,5,6,3,2,1] [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1] [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,4,2,1]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1] [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[3,5,6,4,2,1] [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,4,2,1]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,4,2,1]=>[5,6,3,4,2,1]=>[3,5,6,4,2,1] [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,5,2,1]=>[6,4,3,5,2,1]=>[4,6,3,5,2,1] [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,5,2,1]=>[6,4,3,5,2,1]=>[4,6,3,5,2,1] [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[5,4,3,6,2,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,7,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1] [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,7,2,1]=>[5,6,4,3,2,1]=>[5,6,4,3,2,1] [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,6,2,1]=>[4,5,3,6,2,1]=>[4,5,3,6,2,1] [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,7,2,1]=>[6,4,5,3,2,1]=>[4,6,5,3,2,1] [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,7,2,1]=>[5,4,6,3,2,1]=>[5,4,6,3,2,1] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,7,2,1]=>[4,5,6,3,2,1]=>[4,5,6,3,2,1] [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,5,2,1]=>[6,3,4,5,2,1]=>[3,4,6,5,2,1] [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,5,2,1]=>[6,3,4,5,2,1]=>[3,4,6,5,2,1] [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,6,2,1]=>[5,3,4,6,2,1]=>[3,5,4,6,2,1] [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,7,2,1]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1] [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,7,2,1]=>[5,6,3,4,2,1]=>[3,5,6,4,2,1] [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,6,2,1]=>[4,3,5,6,2,1]=>[4,3,5,6,2,1] [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,7,2,1]=>[6,4,3,5,2,1]=>[4,6,3,5,2,1] [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,7,2,1]=>[5,4,3,6,2,1]=>[5,4,3,6,2,1] [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,7,2,1]=>[4,5,3,6,2,1]=>[4,5,3,6,2,1] [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,6,2,1]=>[3,4,5,6,2,1]=>[3,4,5,6,2,1] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,7,2,1]=>[6,3,4,5,2,1]=>[3,4,6,5,2,1] [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,7,2,1]=>[5,3,4,6,2,1]=>[3,5,4,6,2,1] [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,7,2,1]=>[4,3,5,6,2,1]=>[4,3,5,6,2,1] [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,7,2,1]=>[3,4,5,6,2,1]=>[3,4,5,6,2,1] [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,2,3,1]=>[6,5,4,2,3,1]=>[2,6,5,4,3,1] [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,2,3,1]=>[6,5,4,2,3,1]=>[2,6,5,4,3,1] [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[2,5,6,4,3,1] [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,2,3,1]=>[6,5,4,2,3,1]=>[2,6,5,4,3,1] [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,2,3,1]=>[5,6,4,2,3,1]=>[2,5,6,4,3,1] [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[2,4,6,5,3,1] [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,2,3,1]=>[6,4,5,2,3,1]=>[2,4,6,5,3,1] [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[2,5,4,6,3,1] [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,2,3,1]=>[6,5,4,2,3,1]=>[2,6,5,4,3,1] [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,2,3,1]=>[5,6,4,2,3,1]=>[2,5,6,4,3,1] [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,2,3,1]=>[4,5,6,2,3,1]=>[2,4,5,6,3,1] [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,2,3,1]=>[6,4,5,2,3,1]=>[2,4,6,5,3,1] [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,2,3,1]=>[5,4,6,2,3,1]=>[2,5,4,6,3,1] [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,2,3,1]=>[4,5,6,2,3,1]=>[2,4,5,6,3,1] [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,2,4,1]=>[6,5,3,2,4,1]=>[3,6,5,2,4,1] [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,2,4,1]=>[6,5,3,2,4,1]=>[3,6,5,2,4,1] [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[3,5,6,2,4,1] [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,2,4,1]=>[6,5,3,2,4,1]=>[3,6,5,2,4,1] [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,2,4,1]=>[5,6,3,2,4,1]=>[3,5,6,2,4,1] [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[4,6,3,2,5,1] [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,2,5,1]=>[6,4,3,2,5,1]=>[4,6,3,2,5,1] [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,2,6,1]=>[5,4,3,2,6,1]=>[5,4,3,2,6,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,7,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1] [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,2,7,1]=>[5,6,4,3,2,1]=>[5,6,4,3,2,1] [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,2,6,1]=>[4,5,3,2,6,1]=>[4,5,3,2,6,1] [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,2,7,1]=>[6,4,5,3,2,1]=>[4,6,5,3,2,1] [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,2,7,1]=>[5,4,6,3,2,1]=>[5,4,6,3,2,1] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,2,7,1]=>[4,5,6,3,2,1]=>[4,5,6,3,2,1] [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,2,5,1]=>[6,3,4,2,5,1]=>[3,4,6,2,5,1] [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,2,5,1]=>[6,3,4,2,5,1]=>[3,4,6,2,5,1] [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,2,6,1]=>[5,3,4,2,6,1]=>[3,5,4,2,6,1] [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,2,7,1]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1] [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,2,7,1]=>[5,6,3,4,2,1]=>[3,5,6,4,2,1] [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,2,6,1]=>[4,3,5,2,6,1]=>[4,3,5,2,6,1] [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,2,7,1]=>[6,4,3,5,2,1]=>[4,6,3,5,2,1] [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,2,7,1]=>[5,4,3,6,2,1]=>[5,4,3,6,2,1] [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,2,7,1]=>[4,5,3,6,2,1]=>[4,5,3,6,2,1] [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,2,6,1]=>[3,4,5,2,6,1]=>[3,4,5,2,6,1] [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,2,7,1]=>[6,3,4,5,2,1]=>[3,4,6,5,2,1] [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,2,7,1]=>[5,3,4,6,2,1]=>[3,5,4,6,2,1] [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,2,7,1]=>[4,3,5,6,2,1]=>[4,3,5,6,2,1] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,2,7,1]=>[3,4,5,6,2,1]=>[3,4,5,6,2,1] [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,3,4,1]=>[6,5,2,3,4,1]=>[2,3,6,5,4,1] [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,3,4,1]=>[6,5,2,3,4,1]=>[2,3,6,5,4,1] [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,3,4,1]=>[5,6,2,3,4,1]=>[2,3,5,6,4,1] [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,3,4,1]=>[6,5,2,3,4,1]=>[2,3,6,5,4,1] [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,3,4,1]=>[5,6,2,3,4,1]=>[2,3,5,6,4,1] [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,3,5,1]=>[6,4,2,3,5,1]=>[2,4,6,3,5,1] [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,3,5,1]=>[6,4,2,3,5,1]=>[2,4,6,3,5,1] [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,3,6,1]=>[5,4,2,3,6,1]=>[2,5,4,3,6,1] [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,3,7,1]=>[6,5,4,2,3,1]=>[2,6,5,4,3,1] [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,3,7,1]=>[5,6,4,2,3,1]=>[2,5,6,4,3,1] [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,3,6,1]=>[4,5,2,3,6,1]=>[2,4,5,3,6,1] [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,3,7,1]=>[6,4,5,2,3,1]=>[2,4,6,5,3,1] [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,3,7,1]=>[5,4,6,2,3,1]=>[2,5,4,6,3,1] [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,3,7,1]=>[4,5,6,2,3,1]=>[2,4,5,6,3,1] [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,4,5,1]=>[6,3,2,4,5,1]=>[3,2,6,4,5,1] [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,4,5,1]=>[6,3,2,4,5,1]=>[3,2,6,4,5,1] [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,4,6,1]=>[5,3,2,4,6,1]=>[3,5,2,4,6,1] [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,4,7,1]=>[6,5,3,2,4,1]=>[3,6,5,2,4,1] [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,4,7,1]=>[5,6,3,2,4,1]=>[3,5,6,2,4,1] [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,5,6,1]=>[4,3,2,5,6,1]=>[4,3,2,5,6,1] [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,5,7,1]=>[6,4,3,2,5,1]=>[4,6,3,2,5,1] [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,6,7,1]=>[5,4,3,2,6,1]=>[5,4,3,2,6,1] [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,6,7,1]=>[4,5,3,2,6,1]=>[4,5,3,2,6,1] [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,5,6,1]=>[3,4,2,5,6,1]=>[3,4,2,5,6,1] [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,5,7,1]=>[6,3,4,2,5,1]=>[3,4,6,2,5,1] [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,6,7,1]=>[5,3,4,2,6,1]=>[3,5,4,2,6,1] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,6,7,1]=>[4,3,5,2,6,1]=>[4,3,5,2,6,1] [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,6,7,1]=>[3,4,5,2,6,1]=>[3,4,5,2,6,1] [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,4,5,1]=>[6,2,3,4,5,1]=>[2,3,4,6,5,1] [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,4,5,1]=>[6,2,3,4,5,1]=>[2,3,4,6,5,1] [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,4,6,1]=>[5,2,3,4,6,1]=>[2,3,5,4,6,1] [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,4,7,1]=>[6,5,2,3,4,1]=>[2,3,6,5,4,1] [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,4,7,1]=>[5,6,2,3,4,1]=>[2,3,5,6,4,1] [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,5,6,1]=>[4,2,3,5,6,1]=>[2,4,3,5,6,1] [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,5,7,1]=>[6,4,2,3,5,1]=>[2,4,6,3,5,1] [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,6,7,1]=>[5,4,2,3,6,1]=>[2,5,4,3,6,1] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,6,7,1]=>[4,5,2,3,6,1]=>[2,4,5,3,6,1] [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,5,6,1]=>[3,2,4,5,6,1]=>[3,2,4,5,6,1] [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,5,7,1]=>[6,3,2,4,5,1]=>[3,2,6,4,5,1] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,6,7,1]=>[5,3,2,4,6,1]=>[3,5,2,4,6,1] [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,6,7,1]=>[4,3,2,5,6,1]=>[4,3,2,5,6,1] [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,6,7,1]=>[3,4,2,5,6,1]=>[3,4,2,5,6,1] [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,5,6,1]=>[2,3,4,5,6,1]=>[2,3,4,5,6,1] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,5,7,1]=>[6,2,3,4,5,1]=>[2,3,4,6,5,1] [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,6,7,1]=>[5,2,3,4,6,1]=>[2,3,5,4,6,1] [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,6,7,1]=>[4,2,3,5,6,1]=>[2,4,3,5,6,1] [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,6,7,1]=>[3,2,4,5,6,1]=>[3,2,4,5,6,1] [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1]=>[2,3,4,5,6,1]=>[2,3,4,5,6,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,3,1,2]=>[6,5,4,3,1,2]=>[1,6,5,4,3,2] [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,3,1,2]=>[6,5,4,3,1,2]=>[1,6,5,4,3,2] [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[1,5,6,4,3,2] [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,3,1,2]=>[6,5,4,3,1,2]=>[1,6,5,4,3,2] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,3,1,2]=>[5,6,4,3,1,2]=>[1,5,6,4,3,2] [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[1,4,6,5,3,2] [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,3,1,2]=>[6,4,5,3,1,2]=>[1,4,6,5,3,2] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[1,5,4,6,3,2] [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,3,1,2]=>[6,5,4,3,1,2]=>[1,6,5,4,3,2] [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,3,1,2]=>[5,6,4,3,1,2]=>[1,5,6,4,3,2] [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,3,1,2]=>[4,5,6,3,1,2]=>[1,4,5,6,3,2] [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,3,1,2]=>[6,4,5,3,1,2]=>[1,4,6,5,3,2] [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,3,1,2]=>[5,4,6,3,1,2]=>[1,5,4,6,3,2] [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,3,1,2]=>[4,5,6,3,1,2]=>[1,4,5,6,3,2] [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,4,1,2]=>[6,5,3,4,1,2]=>[1,3,6,5,4,2] [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,4,1,2]=>[6,5,3,4,1,2]=>[1,3,6,5,4,2] [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[1,3,5,6,4,2] [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,4,1,2]=>[6,5,3,4,1,2]=>[1,3,6,5,4,2] [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,4,1,2]=>[5,6,3,4,1,2]=>[1,3,5,6,4,2] [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,5,1,2]=>[6,4,3,5,1,2]=>[1,4,6,3,5,2] [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,5,1,2]=>[6,4,3,5,1,2]=>[1,4,6,3,5,2] [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,6,1,2]=>[5,4,3,6,1,2]=>[1,5,4,3,6,2] [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,7,1,2]=>[6,5,4,3,1,2]=>[1,6,5,4,3,2] [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,7,1,2]=>[5,6,4,3,1,2]=>[1,5,6,4,3,2] [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,6,1,2]=>[4,5,3,6,1,2]=>[1,4,5,3,6,2] [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,7,1,2]=>[6,4,5,3,1,2]=>[1,4,6,5,3,2] [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,7,1,2]=>[5,4,6,3,1,2]=>[1,5,4,6,3,2] [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,7,1,2]=>[4,5,6,3,1,2]=>[1,4,5,6,3,2] [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,5,1,2]=>[6,3,4,5,1,2]=>[1,3,4,6,5,2] [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,5,1,2]=>[6,3,4,5,1,2]=>[1,3,4,6,5,2] [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,6,1,2]=>[5,3,4,6,1,2]=>[1,3,5,4,6,2] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,7,1,2]=>[6,5,3,4,1,2]=>[1,3,6,5,4,2] [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,7,1,2]=>[5,6,3,4,1,2]=>[1,3,5,6,4,2] [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,6,1,2]=>[4,3,5,6,1,2]=>[1,4,3,5,6,2] [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,7,1,2]=>[6,4,3,5,1,2]=>[1,4,6,3,5,2] [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,7,1,2]=>[5,4,3,6,1,2]=>[1,5,4,3,6,2] [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,7,1,2]=>[4,5,3,6,1,2]=>[1,4,5,3,6,2] [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,6,1,2]=>[3,4,5,6,1,2]=>[1,3,4,5,6,2] [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,7,1,2]=>[6,3,4,5,1,2]=>[1,3,4,6,5,2] [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,7,1,2]=>[5,3,4,6,1,2]=>[1,3,5,4,6,2] [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,7,1,2]=>[4,3,5,6,1,2]=>[1,4,3,5,6,2] [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,7,1,2]=>[3,4,5,6,1,2]=>[1,3,4,5,6,2] [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,2,1,3]=>[6,5,4,2,1,3]=>[2,6,5,4,1,3] [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,2,1,3]=>[6,5,4,2,1,3]=>[2,6,5,4,1,3] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[2,5,6,4,1,3] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,2,1,3]=>[6,5,4,2,1,3]=>[2,6,5,4,1,3] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,2,1,3]=>[5,6,4,2,1,3]=>[2,5,6,4,1,3] [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[2,4,6,5,1,3] [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,2,1,3]=>[6,4,5,2,1,3]=>[2,4,6,5,1,3] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[2,5,4,6,1,3] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,2,1,3]=>[6,5,4,2,1,3]=>[2,6,5,4,1,3] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,2,1,3]=>[5,6,4,2,1,3]=>[2,5,6,4,1,3] [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,2,1,3]=>[4,5,6,2,1,3]=>[2,4,5,6,1,3] [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,2,1,3]=>[6,4,5,2,1,3]=>[2,4,6,5,1,3] [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,2,1,3]=>[5,4,6,2,1,3]=>[2,5,4,6,1,3] [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,2,1,3]=>[4,5,6,2,1,3]=>[2,4,5,6,1,3] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,2,1,4]=>[6,5,3,2,1,4]=>[3,6,5,2,1,4] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,2,1,4]=>[6,5,3,2,1,4]=>[3,6,5,2,1,4] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[3,5,6,2,1,4] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,2,1,4]=>[6,5,3,2,1,4]=>[3,6,5,2,1,4] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,2,1,4]=>[5,6,3,2,1,4]=>[3,5,6,2,1,4] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,2,1,5]=>[6,4,3,2,1,5]=>[4,6,3,2,1,5] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,2,1,5]=>[6,4,3,2,1,5]=>[4,6,3,2,1,5] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,2,1,7]=>[5,6,4,3,2,1]=>[5,6,4,3,2,1] [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,2,1,6]=>[4,5,3,2,1,6]=>[4,5,3,2,1,6] [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,2,1,7]=>[6,4,5,3,2,1]=>[4,6,5,3,2,1] [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,2,1,7]=>[5,4,6,3,2,1]=>[5,4,6,3,2,1] [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,2,1,7]=>[4,5,6,3,2,1]=>[4,5,6,3,2,1] [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,2,1,5]=>[6,3,4,2,1,5]=>[3,4,6,2,1,5] [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,2,1,5]=>[6,3,4,2,1,5]=>[3,4,6,2,1,5] [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,2,1,6]=>[5,3,4,2,1,6]=>[3,5,4,2,1,6] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,2,1,7]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1] [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,2,1,7]=>[5,6,3,4,2,1]=>[3,5,6,4,2,1] [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,2,1,6]=>[4,3,5,2,1,6]=>[4,3,5,2,1,6] [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,2,1,7]=>[6,4,3,5,2,1]=>[4,6,3,5,2,1] [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,2,1,7]=>[5,4,3,6,2,1]=>[5,4,3,6,2,1] [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,2,1,7]=>[4,5,3,6,2,1]=>[4,5,3,6,2,1] [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,2,1,6]=>[3,4,5,2,1,6]=>[3,4,5,2,1,6] [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,2,1,7]=>[6,3,4,5,2,1]=>[3,4,6,5,2,1] [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,2,1,7]=>[5,3,4,6,2,1]=>[3,5,4,6,2,1] [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,2,1,7]=>[4,3,5,6,2,1]=>[4,3,5,6,2,1] [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,2,1,7]=>[3,4,5,6,2,1]=>[3,4,5,6,2,1] [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,3,1,4]=>[6,5,2,3,1,4]=>[2,3,6,5,1,4] [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,3,1,4]=>[6,5,2,3,1,4]=>[2,3,6,5,1,4] [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,3,1,4]=>[5,6,2,3,1,4]=>[2,3,5,6,1,4] [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,3,1,4]=>[6,5,2,3,1,4]=>[2,3,6,5,1,4] [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,3,1,4]=>[5,6,2,3,1,4]=>[2,3,5,6,1,4] [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,3,1,5]=>[6,4,2,3,1,5]=>[2,4,6,3,1,5] [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,3,1,5]=>[6,4,2,3,1,5]=>[2,4,6,3,1,5] [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,3,1,6]=>[5,4,2,3,1,6]=>[2,5,4,3,1,6] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,3,1,7]=>[6,5,4,2,3,1]=>[2,6,5,4,3,1] [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,3,1,7]=>[5,6,4,2,3,1]=>[2,5,6,4,3,1] [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,3,1,6]=>[4,5,2,3,1,6]=>[2,4,5,3,1,6] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,3,1,7]=>[6,4,5,2,3,1]=>[2,4,6,5,3,1] [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,3,1,7]=>[5,4,6,2,3,1]=>[2,5,4,6,3,1] [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,3,1,7]=>[4,5,6,2,3,1]=>[2,4,5,6,3,1] [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,4,1,5]=>[6,3,2,4,1,5]=>[3,2,6,4,1,5] [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,4,1,5]=>[6,3,2,4,1,5]=>[3,2,6,4,1,5] [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,4,1,6]=>[5,3,2,4,1,6]=>[3,5,2,4,1,6] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,4,1,7]=>[6,5,3,2,4,1]=>[3,6,5,2,4,1] [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,4,1,7]=>[5,6,3,2,4,1]=>[3,5,6,2,4,1] [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,5,1,6]=>[4,3,2,5,1,6]=>[4,3,2,5,1,6] [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,5,1,7]=>[6,4,3,2,5,1]=>[4,6,3,2,5,1] [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,6,1,7]=>[5,4,3,2,6,1]=>[5,4,3,2,6,1] [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,6,1,7]=>[4,5,3,2,6,1]=>[4,5,3,2,6,1] [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,5,1,6]=>[3,4,2,5,1,6]=>[3,4,2,5,1,6] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,5,1,7]=>[6,3,4,2,5,1]=>[3,4,6,2,5,1] [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,6,1,7]=>[5,3,4,2,6,1]=>[3,5,4,2,6,1] [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,6,1,7]=>[4,3,5,2,6,1]=>[4,3,5,2,6,1] [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,6,1,7]=>[3,4,5,2,6,1]=>[3,4,5,2,6,1] [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,4,1,5]=>[6,2,3,4,1,5]=>[2,3,4,6,1,5] [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,4,1,5]=>[6,2,3,4,1,5]=>[2,3,4,6,1,5] [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,4,1,6]=>[5,2,3,4,1,6]=>[2,3,5,4,1,6] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,4,1,7]=>[6,5,2,3,4,1]=>[2,3,6,5,4,1] [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,4,1,7]=>[5,6,2,3,4,1]=>[2,3,5,6,4,1] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,5,1,6]=>[4,2,3,5,1,6]=>[2,4,3,5,1,6] [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,5,1,7]=>[6,4,2,3,5,1]=>[2,4,6,3,5,1] [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,6,1,7]=>[5,4,2,3,6,1]=>[2,5,4,3,6,1] [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,6,1,7]=>[4,5,2,3,6,1]=>[2,4,5,3,6,1] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,5,1,6]=>[3,2,4,5,1,6]=>[3,2,4,5,1,6] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,5,1,7]=>[6,3,2,4,5,1]=>[3,2,6,4,5,1] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,6,1,7]=>[5,3,2,4,6,1]=>[3,5,2,4,6,1] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,6,1,7]=>[4,3,2,5,6,1]=>[4,3,2,5,6,1] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,6,1,7]=>[3,4,2,5,6,1]=>[3,4,2,5,6,1] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,5,1,6]=>[2,3,4,5,1,6]=>[2,3,4,5,1,6] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,5,1,7]=>[6,2,3,4,5,1]=>[2,3,4,6,5,1] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,6,1,7]=>[5,2,3,4,6,1]=>[2,3,5,4,6,1] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,6,1,7]=>[4,2,3,5,6,1]=>[2,4,3,5,6,1] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,6,1,7]=>[3,2,4,5,6,1]=>[3,2,4,5,6,1] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,1,7]=>[2,3,4,5,6,1]=>[2,3,4,5,6,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,1,2,3]=>[6,5,4,1,2,3]=>[1,2,6,5,4,3] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,1,2,3]=>[6,5,4,1,2,3]=>[1,2,6,5,4,3] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,1,2,3]=>[5,6,4,1,2,3]=>[1,2,5,6,4,3] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,1,2,3]=>[6,5,4,1,2,3]=>[1,2,6,5,4,3] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,1,2,3]=>[5,6,4,1,2,3]=>[1,2,5,6,4,3] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,1,2,3]=>[6,4,5,1,2,3]=>[1,2,4,6,5,3] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,1,2,3]=>[6,4,5,1,2,3]=>[1,2,4,6,5,3] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,1,2,3]=>[5,4,6,1,2,3]=>[1,2,5,4,6,3] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,1,2,3]=>[6,5,4,1,2,3]=>[1,2,6,5,4,3] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,1,2,3]=>[5,6,4,1,2,3]=>[1,2,5,6,4,3] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,1,2,3]=>[4,5,6,1,2,3]=>[1,2,4,5,6,3] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,1,2,3]=>[6,4,5,1,2,3]=>[1,2,4,6,5,3] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,1,2,3]=>[5,4,6,1,2,3]=>[1,2,5,4,6,3] [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,1,2,3]=>[4,5,6,1,2,3]=>[1,2,4,5,6,3] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,1,2,4]=>[6,5,3,1,2,4]=>[1,3,6,5,2,4] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,1,2,4]=>[6,5,3,1,2,4]=>[1,3,6,5,2,4] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,1,2,4]=>[5,6,3,1,2,4]=>[1,3,5,6,2,4] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,1,2,4]=>[6,5,3,1,2,4]=>[1,3,6,5,2,4] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,1,2,4]=>[5,6,3,1,2,4]=>[1,3,5,6,2,4] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,1,2,5]=>[6,4,3,1,2,5]=>[1,4,6,3,2,5] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,1,2,5]=>[6,4,3,1,2,5]=>[1,4,6,3,2,5] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,1,2,6]=>[5,4,3,1,2,6]=>[1,5,4,3,2,6] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,1,2,7]=>[6,5,4,3,1,2]=>[1,6,5,4,3,2] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,1,2,7]=>[5,6,4,3,1,2]=>[1,5,6,4,3,2] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,1,2,6]=>[4,5,3,1,2,6]=>[1,4,5,3,2,6] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,1,2,7]=>[6,4,5,3,1,2]=>[1,4,6,5,3,2] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,1,2,7]=>[5,4,6,3,1,2]=>[1,5,4,6,3,2] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,1,2,7]=>[4,5,6,3,1,2]=>[1,4,5,6,3,2] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,1,2,5]=>[6,3,4,1,2,5]=>[1,3,4,6,2,5] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,1,2,5]=>[6,3,4,1,2,5]=>[1,3,4,6,2,5] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,1,2,6]=>[5,3,4,1,2,6]=>[1,3,5,4,2,6] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,1,2,7]=>[6,5,3,4,1,2]=>[1,3,6,5,4,2] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,1,2,7]=>[5,6,3,4,1,2]=>[1,3,5,6,4,2] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,1,2,6]=>[4,3,5,1,2,6]=>[1,4,3,5,2,6] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,1,2,7]=>[6,4,3,5,1,2]=>[1,4,6,3,5,2] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,1,2,7]=>[5,4,3,6,1,2]=>[1,5,4,3,6,2] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,1,2,7]=>[4,5,3,6,1,2]=>[1,4,5,3,6,2] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,1,2,6]=>[3,4,5,1,2,6]=>[1,3,4,5,2,6] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,1,2,7]=>[6,3,4,5,1,2]=>[1,3,4,6,5,2] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,1,2,7]=>[5,3,4,6,1,2]=>[1,3,5,4,6,2] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,1,2,7]=>[4,3,5,6,1,2]=>[1,4,3,5,6,2] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,1,2,7]=>[3,4,5,6,1,2]=>[1,3,4,5,6,2] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,1,3,4]=>[6,5,2,1,3,4]=>[2,1,6,5,3,4] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,1,3,4]=>[6,5,2,1,3,4]=>[2,1,6,5,3,4] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,1,3,4]=>[5,6,2,1,3,4]=>[2,1,5,6,3,4] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,1,3,4]=>[6,5,2,1,3,4]=>[2,1,6,5,3,4] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,1,3,4]=>[5,6,2,1,3,4]=>[2,1,5,6,3,4] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,1,3,5]=>[6,4,2,1,3,5]=>[2,4,6,1,3,5] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,1,3,5]=>[6,4,2,1,3,5]=>[2,4,6,1,3,5] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,1,3,6]=>[5,4,2,1,3,6]=>[2,5,4,1,3,6] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,1,3,7]=>[6,5,4,2,1,3]=>[2,6,5,4,1,3] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,1,3,7]=>[5,6,4,2,1,3]=>[2,5,6,4,1,3] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,1,3,6]=>[4,5,2,1,3,6]=>[2,4,5,1,3,6] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,1,3,7]=>[6,4,5,2,1,3]=>[2,4,6,5,1,3] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,1,3,7]=>[5,4,6,2,1,3]=>[2,5,4,6,1,3] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,1,3,7]=>[4,5,6,2,1,3]=>[2,4,5,6,1,3] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,1,4,5]=>[6,3,2,1,4,5]=>[3,2,6,1,4,5] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,1,4,5]=>[6,3,2,1,4,5]=>[3,2,6,1,4,5] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,1,4,6]=>[5,3,2,1,4,6]=>[3,5,2,1,4,6] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,1,4,7]=>[6,5,3,2,1,4]=>[3,6,5,2,1,4] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,1,4,7]=>[5,6,3,2,1,4]=>[3,5,6,2,1,4] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,1,5,7]=>[6,4,3,2,1,5]=>[4,6,3,2,1,5] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,1,6,7]=>[4,5,3,2,1,6]=>[4,5,3,2,1,6] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,1,5,6]=>[3,4,2,1,5,6]=>[3,4,2,1,5,6] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,1,5,7]=>[6,3,4,2,1,5]=>[3,4,6,2,1,5] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,1,6,7]=>[5,3,4,2,1,6]=>[3,5,4,2,1,6] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,1,6,7]=>[4,3,5,2,1,6]=>[4,3,5,2,1,6] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,1,6,7]=>[3,4,5,2,1,6]=>[3,4,5,2,1,6] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,1,4,5]=>[6,2,3,1,4,5]=>[2,3,1,6,4,5] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,1,4,5]=>[6,2,3,1,4,5]=>[2,3,1,6,4,5] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,1,4,6]=>[5,2,3,1,4,6]=>[2,3,5,1,4,6] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,1,4,7]=>[6,5,2,3,1,4]=>[2,3,6,5,1,4] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,1,4,7]=>[5,6,2,3,1,4]=>[2,3,5,6,1,4] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,1,5,6]=>[4,2,3,1,5,6]=>[2,4,3,1,5,6] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,1,5,7]=>[6,4,2,3,1,5]=>[2,4,6,3,1,5] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,1,6,7]=>[5,4,2,3,1,6]=>[2,5,4,3,1,6] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,1,6,7]=>[4,5,2,3,1,6]=>[2,4,5,3,1,6] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,1,5,6]=>[3,2,4,1,5,6]=>[3,2,4,1,5,6] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,1,5,7]=>[6,3,2,4,1,5]=>[3,2,6,4,1,5] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,1,6,7]=>[5,3,2,4,1,6]=>[3,5,2,4,1,6] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,1,6,7]=>[4,3,2,5,1,6]=>[4,3,2,5,1,6] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,1,6,7]=>[3,4,2,5,1,6]=>[3,4,2,5,1,6] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,1,5,6]=>[2,3,4,1,5,6]=>[2,3,4,1,5,6] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,1,5,7]=>[6,2,3,4,1,5]=>[2,3,4,6,1,5] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,1,6,7]=>[5,2,3,4,1,6]=>[2,3,5,4,1,6] [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,1,6,7]=>[4,2,3,5,1,6]=>[2,4,3,5,1,6] [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,1,6,7]=>[3,2,4,5,1,6]=>[3,2,4,5,1,6] [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,1,6,7]=>[2,3,4,5,1,6]=>[2,3,4,5,1,6] [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[7,6,5,1,2,3,4]=>[6,5,1,2,3,4]=>[1,2,3,6,5,4] [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[6,7,5,1,2,3,4]=>[6,5,1,2,3,4]=>[1,2,3,6,5,4] [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[7,5,6,1,2,3,4]=>[5,6,1,2,3,4]=>[1,2,3,5,6,4] [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[6,5,7,1,2,3,4]=>[6,5,1,2,3,4]=>[1,2,3,6,5,4] [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,6,7,1,2,3,4]=>[5,6,1,2,3,4]=>[1,2,3,5,6,4] [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[7,6,4,1,2,3,5]=>[6,4,1,2,3,5]=>[1,2,4,6,3,5] [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[6,7,4,1,2,3,5]=>[6,4,1,2,3,5]=>[1,2,4,6,3,5] [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[7,5,4,1,2,3,6]=>[5,4,1,2,3,6]=>[1,2,5,4,3,6] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[6,5,4,1,2,3,7]=>[6,5,4,1,2,3]=>[1,2,6,5,4,3] [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[5,6,4,1,2,3,7]=>[5,6,4,1,2,3]=>[1,2,5,6,4,3] [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[7,4,5,1,2,3,6]=>[4,5,1,2,3,6]=>[1,2,4,5,3,6] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[6,4,5,1,2,3,7]=>[6,4,5,1,2,3]=>[1,2,4,6,5,3] [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[5,4,6,1,2,3,7]=>[5,4,6,1,2,3]=>[1,2,5,4,6,3] [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,5,6,1,2,3,7]=>[4,5,6,1,2,3]=>[1,2,4,5,6,3] [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[7,6,3,1,2,4,5]=>[6,3,1,2,4,5]=>[1,3,2,6,4,5] [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[6,7,3,1,2,4,5]=>[6,3,1,2,4,5]=>[1,3,2,6,4,5] [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[7,5,3,1,2,4,6]=>[5,3,1,2,4,6]=>[1,3,5,2,4,6] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[6,5,3,1,2,4,7]=>[6,5,3,1,2,4]=>[1,3,6,5,2,4] [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[5,6,3,1,2,4,7]=>[5,6,3,1,2,4]=>[1,3,5,6,2,4] [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[7,4,3,1,2,5,6]=>[4,3,1,2,5,6]=>[1,4,3,2,5,6] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[6,4,3,1,2,5,7]=>[6,4,3,1,2,5]=>[1,4,6,3,2,5] [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[5,4,3,1,2,6,7]=>[5,4,3,1,2,6]=>[1,5,4,3,2,6] [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,5,3,1,2,6,7]=>[4,5,3,1,2,6]=>[1,4,5,3,2,6] [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,4,1,2,5,6]=>[3,4,1,2,5,6]=>[1,3,4,2,5,6] [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[6,3,4,1,2,5,7]=>[6,3,4,1,2,5]=>[1,3,4,6,2,5] [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[5,3,4,1,2,6,7]=>[5,3,4,1,2,6]=>[1,3,5,4,2,6] [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,3,5,1,2,6,7]=>[4,3,5,1,2,6]=>[1,4,3,5,2,6] [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,4,5,1,2,6,7]=>[3,4,5,1,2,6]=>[1,3,4,5,2,6] [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[7,6,2,1,3,4,5]=>[6,2,1,3,4,5]=>[2,1,3,6,4,5] [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[6,7,2,1,3,4,5]=>[6,2,1,3,4,5]=>[2,1,3,6,4,5] [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[7,5,2,1,3,4,6]=>[5,2,1,3,4,6]=>[2,1,5,3,4,6] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[6,5,2,1,3,4,7]=>[6,5,2,1,3,4]=>[2,1,6,5,3,4] [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[5,6,2,1,3,4,7]=>[5,6,2,1,3,4]=>[2,1,5,6,3,4] [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[7,4,2,1,3,5,6]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6] [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[6,4,2,1,3,5,7]=>[6,4,2,1,3,5]=>[2,4,6,1,3,5] [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[5,4,2,1,3,6,7]=>[5,4,2,1,3,6]=>[2,5,4,1,3,6] [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,2,1,3,6,7]=>[4,5,2,1,3,6]=>[2,4,5,1,3,6] [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[7,3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6] [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[6,3,2,1,4,5,7]=>[6,3,2,1,4,5]=>[3,2,6,1,4,5] [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[5,3,2,1,4,6,7]=>[5,3,2,1,4,6]=>[3,5,2,1,4,6] [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6] [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,4,2,1,5,6,7]=>[3,4,2,1,5,6]=>[3,4,2,1,5,6] [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,3,1,4,5,6]=>[2,3,1,4,5,6]=>[2,3,1,4,5,6] [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[6,2,3,1,4,5,7]=>[6,2,3,1,4,5]=>[2,3,1,6,4,5] [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[5,2,3,1,4,6,7]=>[5,2,3,1,4,6]=>[2,3,5,1,4,6] [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,3,1,5,6,7]=>[4,2,3,1,5,6]=>[2,4,3,1,5,6] [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,4,1,5,6,7]=>[3,2,4,1,5,6]=>[3,2,4,1,5,6] [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,4,1,5,6,7]=>[2,3,4,1,5,6]=>[2,3,4,1,5,6] [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[1,2,3,4,6,5] [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,7,1,2,3,4,5]=>[6,1,2,3,4,5]=>[1,2,3,4,6,5] [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[7,5,1,2,3,4,6]=>[5,1,2,3,4,6]=>[1,2,3,5,4,6] [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[6,5,1,2,3,4,7]=>[6,5,1,2,3,4]=>[1,2,3,6,5,4] [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,6,1,2,3,4,7]=>[5,6,1,2,3,4]=>[1,2,3,5,6,4] [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,4,1,2,3,5,6]=>[4,1,2,3,5,6]=>[1,2,4,3,5,6] [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[6,4,1,2,3,5,7]=>[6,4,1,2,3,5]=>[1,2,4,6,3,5] [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,4,1,2,3,6,7]=>[5,4,1,2,3,6]=>[1,2,5,4,3,6] [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,5,1,2,3,6,7]=>[4,5,1,2,3,6]=>[1,2,4,5,3,6] [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,1,2,4,5,6]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6] [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[6,3,1,2,4,5,7]=>[6,3,1,2,4,5]=>[1,3,2,6,4,5] [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,3,1,2,4,6,7]=>[5,3,1,2,4,6]=>[1,3,5,2,4,6] [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[4,3,1,2,5,6,7]=>[4,3,1,2,5,6]=>[1,4,3,2,5,6] [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,4,1,2,5,6,7]=>[3,4,1,2,5,6]=>[1,3,4,2,5,6] [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[6,2,1,3,4,5,7]=>[6,2,1,3,4,5]=>[2,1,3,6,4,5] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,2,1,3,4,6,7]=>[5,2,1,3,4,6]=>[2,1,5,3,4,6] [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,3,5,6,7]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6] [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6] [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,3,1,4,5,6,7]=>[2,3,1,4,5,6]=>[2,3,1,4,5,6] [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6] [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5]=>[1,2,3,4,6,5] [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6]=>[1,2,3,5,4,6] [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6]=>[1,2,4,3,5,6] [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6] [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [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]=>[1,2,3,4,5,6] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,3,2,1]=>[6,7,5,4,3,2,1]=>[6,7,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>[5,7,6,4,3,2,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,3,2,1]=>[7,5,6,4,3,2,1]=>[5,7,6,4,3,2,1] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,3,2,1]=>[6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,3,2,1]=>[5,6,7,4,3,2,1]=>[5,6,7,4,3,2,1] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,3,2,1]=>[7,6,4,5,3,2,1]=>[4,7,6,5,3,2,1] [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,5,3,2,1]=>[7,6,4,5,3,2,1]=>[4,7,6,5,3,2,1] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,3,2,1]=>[6,7,4,5,3,2,1]=>[4,6,7,5,3,2,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1] [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,3,2,1]=>[6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,8,3,2,1]=>[7,6,4,5,3,2,1]=>[4,7,6,5,3,2,1] [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,3,2,1]=>[7,5,4,6,3,2,1]=>[5,7,4,6,3,2,1] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,8,3,2,1]=>[7,4,5,6,3,2,1]=>[4,5,7,6,3,2,1] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,3,2,1]=>[4,5,6,7,3,2,1]=>[4,5,6,7,3,2,1] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,4,2,1]=>[7,6,5,3,4,2,1]=>[3,7,6,5,4,2,1] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,4,2,1]=>[7,6,5,3,4,2,1]=>[3,7,6,5,4,2,1] [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,4,2,1]=>[6,7,5,3,4,2,1]=>[3,6,7,5,4,2,1] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,4,2,1]=>[7,5,6,3,4,2,1]=>[3,5,7,6,4,2,1] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,4,2,1]=>[5,6,7,3,4,2,1]=>[3,5,6,7,4,2,1] [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,6,2,1]=>[7,5,4,3,6,2,1]=>[5,7,4,3,6,2,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,8,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1] [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,3,8,2,1]=>[6,4,5,7,3,2,1]=>[4,6,5,7,3,2,1] [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,3,8,2,1]=>[5,4,6,7,3,2,1]=>[5,4,6,7,3,2,1] [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,5,2,1]=>[6,7,3,4,5,2,1]=>[3,4,6,7,5,2,1] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,4,8,2,1]=>[7,6,5,3,4,2,1]=>[3,7,6,5,4,2,1] [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,8,2,1]=>[7,6,4,3,5,2,1]=>[4,7,6,3,5,2,1] [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,5,8,2,1]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1] [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,8,2,1]=>[6,3,4,5,7,2,1]=>[3,4,6,5,7,2,1] [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,7,8,2,1]=>[4,3,5,6,7,2,1]=>[4,3,5,6,7,2,1] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,2,3,1]=>[7,6,5,4,2,3,1]=>[2,7,6,5,4,3,1] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,2,3,1]=>[7,6,5,4,2,3,1]=>[2,7,6,5,4,3,1] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,2,3,1]=>[6,7,5,4,2,3,1]=>[2,6,7,5,4,3,1] [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[2,5,7,6,4,3,1] [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,2,3,1]=>[5,6,7,4,2,3,1]=>[2,5,6,7,4,3,1] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,2,3,1]=>[7,6,4,5,2,3,1]=>[2,4,7,6,5,3,1] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,2,3,1]=>[6,7,4,5,2,3,1]=>[2,4,6,7,5,3,1] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,2,3,1]=>[4,5,6,7,2,3,1]=>[2,4,5,6,7,3,1] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,2,4,1]=>[7,6,5,3,2,4,1]=>[3,7,6,5,2,4,1] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,2,4,1]=>[6,5,7,3,2,4,1]=>[3,6,5,7,2,4,1] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,2,4,1]=>[5,6,7,3,2,4,1]=>[3,5,6,7,2,4,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,8,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1] [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,3,2,8,1]=>[6,7,5,4,3,2,1]=>[6,7,5,4,3,2,1] [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,2,8,1]=>[6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1] [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,3,2,8,1]=>[6,4,5,7,3,2,1]=>[4,6,5,7,3,2,1] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,2,8,1]=>[6,5,4,3,7,2,1]=>[6,5,4,3,7,2,1] [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,7,2,8,1]=>[5,4,6,3,7,2,1]=>[5,4,6,3,7,2,1] [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,7,2,8,1]=>[6,5,3,4,7,2,1]=>[3,6,5,4,7,2,1] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,3,4,1]=>[7,6,5,2,3,4,1]=>[2,3,7,6,5,4,1] [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,3,4,1]=>[6,7,5,2,3,4,1]=>[2,3,6,7,5,4,1] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,2,3,4,1]=>[5,6,7,2,3,4,1]=>[2,3,5,6,7,4,1] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,3,4,1]=>[5,6,7,2,3,4,1]=>[2,3,5,6,7,4,1] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,2,3,8,1]=>[7,6,5,4,2,3,1]=>[2,7,6,5,4,3,1] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,2,3,8,1]=>[6,7,4,5,2,3,1]=>[2,4,6,7,5,3,1] [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,2,3,8,1]=>[6,4,5,7,2,3,1]=>[2,4,6,5,7,3,1] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,2,3,8,1]=>[4,5,6,7,2,3,1]=>[2,4,5,6,7,3,1] [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,2,4,8,1]=>[7,6,5,3,2,4,1]=>[3,7,6,5,2,4,1] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,3,4,8,1]=>[7,6,5,2,3,4,1]=>[2,3,7,6,5,4,1] [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,4,5,6,1]=>[7,3,2,4,5,6,1]=>[3,2,4,7,5,6,1] [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,6,7,8,1]=>[5,4,3,2,6,7,1]=>[5,4,3,2,6,7,1] [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,6,7,8,1]=>[3,4,5,2,6,7,1]=>[3,4,5,2,6,7,1] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[6,7,2,3,4,5,8,1]=>[6,7,2,3,4,5,1]=>[2,3,4,6,7,5,1] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,5,6,7,8,1]=>[4,3,2,5,6,7,1]=>[4,3,2,5,6,7,1] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,6,7,8,1]=>[3,4,2,5,6,7,1]=>[3,4,2,5,6,7,1] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,4,6,7,8,1]=>[5,2,3,4,6,7,1]=>[2,3,5,4,6,7,1] [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,5,6,7,8,1]=>[4,2,3,5,6,7,1]=>[2,4,3,5,6,7,1] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,1]=>[3,2,4,5,6,7,1] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,1]=>[2,3,4,5,6,7,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[1,7,6,5,4,3,2] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[1,7,6,5,4,3,2] [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[1,6,7,5,4,3,2] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,3,1,2]=>[7,5,6,4,3,1,2]=>[1,5,7,6,4,3,2] [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,3,1,2]=>[6,5,7,4,3,1,2]=>[1,6,5,7,4,3,2] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,3,1,2]=>[5,6,7,4,3,1,2]=>[1,5,6,7,4,3,2] [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,3,1,2]=>[7,6,4,5,3,1,2]=>[1,4,7,6,5,3,2] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,5,3,1,2]=>[7,6,4,5,3,1,2]=>[1,4,7,6,5,3,2] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,3,1,2]=>[4,5,6,7,3,1,2]=>[1,4,5,6,7,3,2] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,4,1,2]=>[7,6,5,3,4,1,2]=>[1,3,7,6,5,4,2] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>[1,3,5,7,6,4,2] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>[1,3,5,7,6,4,2] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,4,1,2]=>[7,6,5,3,4,1,2]=>[1,3,7,6,5,4,2] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,4,1,2]=>[6,7,5,3,4,1,2]=>[1,3,6,7,5,4,2] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,4,1,2]=>[7,5,6,3,4,1,2]=>[1,3,5,7,6,4,2] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,4,1,2]=>[6,5,7,3,4,1,2]=>[1,3,6,5,7,4,2] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,4,1,2]=>[5,6,7,3,4,1,2]=>[1,3,5,6,7,4,2] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,6,1,2]=>[7,5,4,3,6,1,2]=>[1,5,7,4,3,6,2] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,8,1,2]=>[7,6,5,4,3,1,2]=>[1,7,6,5,4,3,2] [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,8,1,2]=>[6,5,7,4,3,1,2]=>[1,6,5,7,4,3,2] [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,8,1,2]=>[5,6,7,4,3,1,2]=>[1,5,6,7,4,3,2] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,3,6,1,2]=>[7,4,5,3,6,1,2]=>[1,4,5,7,3,6,2] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,3,8,1,2]=>[6,7,4,5,3,1,2]=>[1,4,6,7,5,3,2] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,3,8,1,2]=>[5,6,4,7,3,1,2]=>[1,5,6,4,7,3,2] [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,3,8,1,2]=>[5,4,6,7,3,1,2]=>[1,5,4,6,7,3,2] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,6,1,2]=>[7,5,3,4,6,1,2]=>[1,3,5,7,4,6,2] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,5,6,1,2]=>[7,4,3,5,6,1,2]=>[1,4,3,7,5,6,2] [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,7,8,1,2]=>[5,4,6,3,7,1,2]=>[1,5,4,6,3,7,2] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,6,1,2]=>[7,3,4,5,6,1,2]=>[1,3,4,5,7,6,2] [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,8,1,2]=>[5,6,3,4,7,1,2]=>[1,3,5,6,4,7,2] [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,6,7,1,2]=>[4,3,5,6,7,1,2]=>[1,4,3,5,6,7,2] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,8,1,2]=>[6,4,3,5,7,1,2]=>[1,4,6,3,5,7,2] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,7,8,1,2]=>[5,4,3,6,7,1,2]=>[1,5,4,3,6,7,2] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,7,8,1,2]=>[4,5,3,6,7,1,2]=>[1,4,5,3,6,7,2] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,7,1,2]=>[3,4,5,6,7,1,2]=>[1,3,4,5,6,7,2] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,8,1,2]=>[6,3,4,5,7,1,2]=>[1,3,4,6,5,7,2] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,7,8,1,2]=>[4,3,5,6,7,1,2]=>[1,4,3,5,6,7,2] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,2]=>[3,4,5,6,7,1,2]=>[1,3,4,5,6,7,2] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[2,7,6,5,4,1,3] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[2,7,6,5,4,1,3] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,2,1,3]=>[5,6,7,4,2,1,3]=>[2,5,6,7,4,1,3] [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,2,1,3]=>[4,5,6,7,2,1,3]=>[2,4,5,6,7,1,3] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4]=>[3,7,6,5,2,1,4] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,2,1,4]=>[7,5,6,3,2,1,4]=>[3,5,7,6,2,1,4] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,2,1,4]=>[7,6,5,3,2,1,4]=>[3,7,6,5,2,1,4] [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,2,1,4]=>[5,6,7,3,2,1,4]=>[3,5,6,7,2,1,4] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,2,1,5]=>[7,6,4,3,2,1,5]=>[4,7,6,3,2,1,5] [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,2,1,5]=>[6,7,4,3,2,1,5]=>[4,6,7,3,2,1,5] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,2,1,6]=>[7,5,4,3,2,1,6]=>[5,7,4,3,2,1,6] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,3,2,1,8]=>[6,7,5,4,3,2,1]=>[6,7,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,2,1,8]=>[6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,2,1,8]=>[5,6,7,4,3,2,1]=>[5,6,7,4,3,2,1] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,3,2,1,8]=>[7,6,4,5,3,2,1]=>[4,7,6,5,3,2,1] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,2,1,8]=>[6,5,4,7,3,2,1]=>[6,5,4,7,3,2,1] [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,3,2,1,7]=>[4,5,6,3,2,1,7]=>[4,5,6,3,2,1,7] [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,2,1,8]=>[7,4,5,6,3,2,1]=>[4,5,7,6,3,2,1] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,2,1,5]=>[7,6,3,4,2,1,5]=>[3,4,7,6,2,1,5] [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,2,1,5]=>[6,7,3,4,2,1,5]=>[3,4,6,7,2,1,5] [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,2,1,8]=>[7,5,6,3,4,2,1]=>[3,5,7,6,4,2,1] [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,4,2,1,8]=>[5,6,7,3,4,2,1]=>[3,5,6,7,4,2,1] [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,2,1,8]=>[7,6,4,3,5,2,1]=>[4,7,6,3,5,2,1] [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,6,2,1,8]=>[7,5,4,3,6,2,1]=>[5,7,4,3,6,2,1] [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,5,2,1,8]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,3,1,4]=>[7,6,5,2,3,1,4]=>[2,3,7,6,5,1,4] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,2,3,1,4]=>[7,5,6,2,3,1,4]=>[2,3,5,7,6,1,4] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,2,3,1,4]=>[6,7,5,2,3,1,4]=>[2,3,6,7,5,1,4] [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,2,3,1,4]=>[7,5,6,2,3,1,4]=>[2,3,5,7,6,1,4] [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,3,1,4]=>[5,6,7,2,3,1,4]=>[2,3,5,6,7,1,4] [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,2,3,1,5]=>[7,6,4,2,3,1,5]=>[2,4,7,6,3,1,5] [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,2,3,1,5]=>[6,7,4,2,3,1,5]=>[2,4,6,7,3,1,5] [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,2,3,1,8]=>[6,7,5,4,2,3,1]=>[2,6,7,5,4,3,1] [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,2,3,1,8]=>[5,6,7,4,2,3,1]=>[2,5,6,7,4,3,1] [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,2,3,1,6]=>[7,4,5,2,3,1,6]=>[2,4,5,7,3,1,6] [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,2,3,1,8]=>[7,6,4,5,2,3,1]=>[2,4,7,6,5,3,1] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,2,3,1,8]=>[6,7,4,5,2,3,1]=>[2,4,6,7,5,3,1] [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,2,3,1,8]=>[5,6,4,7,2,3,1]=>[2,5,6,4,7,3,1] [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,2,3,1,8]=>[7,4,5,6,2,3,1]=>[2,4,5,7,6,3,1] [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,2,4,1,5]=>[7,6,3,2,4,1,5]=>[3,2,7,6,4,1,5] [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,2,4,1,5]=>[6,7,3,2,4,1,5]=>[3,2,6,7,4,1,5] [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,2,4,1,8]=>[6,5,7,3,2,4,1]=>[3,6,5,7,2,4,1] [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,2,4,1,8]=>[5,6,7,3,2,4,1]=>[3,5,6,7,2,4,1] [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,2,5,1,6]=>[7,3,4,2,5,1,6]=>[3,4,2,7,5,1,6] [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[6,7,3,4,2,5,1,8]=>[6,7,3,4,2,5,1]=>[3,4,6,7,2,5,1] [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,2,7,1,8]=>[5,6,3,4,2,7,1]=>[3,5,6,4,2,7,1] [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,2,7,1,8]=>[4,5,3,6,2,7,1]=>[4,5,3,6,2,7,1] [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,4,1,5]=>[7,6,2,3,4,1,5]=>[2,3,4,7,6,1,5] [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,3,4,1,5]=>[6,7,2,3,4,1,5]=>[2,3,4,6,7,1,5] [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,3,4,1,8]=>[7,6,5,2,3,4,1]=>[2,3,7,6,5,4,1] [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[6,7,5,2,3,4,1,8]=>[6,7,5,2,3,4,1]=>[2,3,6,7,5,4,1] [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,2,3,4,1,8]=>[7,5,6,2,3,4,1]=>[2,3,5,7,6,4,1] [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[6,5,7,2,3,4,1,8]=>[6,5,7,2,3,4,1]=>[2,3,6,5,7,4,1] [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,3,4,1,8]=>[5,6,7,2,3,4,1]=>[2,3,5,6,7,4,1] [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[7,4,5,2,3,6,1,8]=>[7,4,5,2,3,6,1]=>[2,4,5,7,3,6,1] [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,6,7,1,8]=>[5,4,3,2,6,7,1]=>[5,4,3,2,6,7,1] [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,5,6,7,1,8]=>[3,2,4,5,6,7,1]=>[3,2,4,5,6,7,1] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,1]=>[2,3,4,5,6,7,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,1,2,3]=>[7,6,5,4,1,2,3]=>[1,2,7,6,5,4,3] [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,1,2,3]=>[6,7,5,4,1,2,3]=>[1,2,6,7,5,4,3] [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,1,2,3]=>[5,6,7,4,1,2,3]=>[1,2,5,6,7,4,3] [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,1,2,3]=>[6,5,7,4,1,2,3]=>[1,2,6,5,7,4,3] [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,1,2,3]=>[5,6,7,4,1,2,3]=>[1,2,5,6,7,4,3] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,1,2,3]=>[7,6,4,5,1,2,3]=>[1,2,4,7,6,5,3] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,1,2,3]=>[6,7,4,5,1,2,3]=>[1,2,4,6,7,5,3] [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,1,2,3]=>[7,4,5,6,1,2,3]=>[1,2,4,5,7,6,3] [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,1,2,3]=>[7,4,5,6,1,2,3]=>[1,2,4,5,7,6,3] [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,8,1,2,3]=>[6,7,4,5,1,2,3]=>[1,2,4,6,7,5,3] [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,8,1,2,3]=>[6,5,4,7,1,2,3]=>[1,2,6,5,4,7,3] [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,1,2,3]=>[4,5,6,7,1,2,3]=>[1,2,4,5,6,7,3] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,1,2,4]=>[7,6,5,3,1,2,4]=>[1,3,7,6,5,2,4] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,1,2,4]=>[7,5,6,3,1,2,4]=>[1,3,5,7,6,2,4] [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,1,2,4]=>[6,7,5,3,1,2,4]=>[1,3,6,7,5,2,4] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,1,2,4]=>[7,5,6,3,1,2,4]=>[1,3,5,7,6,2,4] [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,1,2,4]=>[5,6,7,3,1,2,4]=>[1,3,5,6,7,2,4] [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,1,2,5]=>[7,6,4,3,1,2,5]=>[1,4,7,6,3,2,5] [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,1,2,5]=>[6,7,4,3,1,2,5]=>[1,4,6,7,3,2,5] [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,1,2,7]=>[6,5,4,3,1,2,7]=>[1,6,5,4,3,2,7] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,1,2,8]=>[7,6,5,4,3,1,2]=>[1,7,6,5,4,3,2] [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,1,2,8]=>[7,5,6,4,3,1,2]=>[1,5,7,6,4,3,2] [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,1,2,8]=>[7,4,5,6,3,1,2]=>[1,4,5,7,6,3,2] [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,1,2,5]=>[7,6,3,4,1,2,5]=>[1,3,4,7,6,2,5] [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,1,2,5]=>[6,7,3,4,1,2,5]=>[1,3,4,6,7,2,5] [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,1,2,7]=>[5,6,3,4,1,2,7]=>[1,3,5,6,4,2,7] [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,6,1,2,7]=>[4,3,5,6,1,2,7]=>[1,4,3,5,6,2,7] [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,1,2,7]=>[3,4,5,6,1,2,7]=>[1,3,4,5,6,2,7] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,1,3,4]=>[7,6,5,2,1,3,4]=>[2,1,7,6,5,3,4] [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,2,1,3,4]=>[7,6,5,2,1,3,4]=>[2,1,7,6,5,3,4] [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,1,3,4]=>[6,7,5,2,1,3,4]=>[2,1,6,7,5,3,4] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,2,1,3,4]=>[7,5,6,2,1,3,4]=>[2,1,5,7,6,3,4] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,2,1,3,4]=>[6,5,7,2,1,3,4]=>[2,1,6,5,7,3,4] [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,1,3,4]=>[5,6,7,2,1,3,4]=>[2,1,5,6,7,3,4] [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,2,1,3,5]=>[7,6,4,2,1,3,5]=>[2,4,7,6,1,3,5] [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,2,1,3,5]=>[6,7,4,2,1,3,5]=>[2,4,6,7,1,3,5] [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,2,1,3,6]=>[7,5,4,2,1,3,6]=>[2,5,7,4,1,3,6] [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,2,1,3,7]=>[6,5,4,2,1,3,7]=>[2,6,5,4,1,3,7] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,2,1,3,8]=>[7,6,5,4,2,1,3]=>[2,7,6,5,4,1,3] [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,2,1,3,8]=>[6,5,7,4,2,1,3]=>[2,6,5,7,4,1,3] [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,2,1,3,8]=>[7,5,4,6,2,1,3]=>[2,5,7,4,6,1,3] [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,2,1,3,8]=>[7,4,5,6,2,1,3]=>[2,4,5,7,6,1,3] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,2,1,4,5]=>[7,6,3,2,1,4,5]=>[3,2,7,6,1,4,5] [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,2,1,4,5]=>[6,7,3,2,1,4,5]=>[3,2,6,7,1,4,5] [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,2,1,5,6]=>[7,4,3,2,1,5,6]=>[4,3,7,2,1,5,6] [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,2,1,5,6]=>[7,4,3,2,1,5,6]=>[4,3,7,2,1,5,6] [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,2,1,5,7]=>[6,4,3,2,1,5,7]=>[4,6,3,2,1,5,7] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,2,1,5,8]=>[7,6,4,3,2,1,5]=>[4,7,6,3,2,1,5] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7] [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,2,1,5,7]=>[6,3,4,2,1,5,7]=>[3,4,6,2,1,5,7] [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,1,4,5]=>[7,6,2,3,1,4,5]=>[2,3,1,7,6,4,5] [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,3,1,4,5]=>[6,7,2,3,1,4,5]=>[2,3,1,6,7,4,5] [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,2,3,1,4,7]=>[6,5,2,3,1,4,7]=>[2,3,6,5,1,4,7] [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,2,3,1,4,7]=>[5,6,2,3,1,4,7]=>[2,3,5,6,1,4,7] [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,4,1,5,6]=>[7,3,2,4,1,5,6]=>[3,2,4,7,1,5,6] [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,6,1,7,8]=>[5,4,3,2,6,1,7]=>[5,4,3,2,6,1,7] [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,3,2,6,1,7,8]=>[4,5,3,2,6,1,7]=>[4,5,3,2,6,1,7] [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,3,4,1,5,6]=>[7,2,3,4,1,5,6]=>[2,3,4,1,7,5,6] [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,5,6,1,7,8]=>[4,2,3,5,6,1,7]=>[2,4,3,5,6,1,7] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,1,7,8]=>[2,3,4,5,6,1,7]=>[2,3,4,5,6,1,7] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4] [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4] [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,1,2,3,4]=>[6,7,5,1,2,3,4]=>[1,2,3,6,7,5,4] [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4] [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,1,2,3,4]=>[6,7,5,1,2,3,4]=>[1,2,3,6,7,5,4] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,1,2,3,4]=>[7,5,6,1,2,3,4]=>[1,2,3,5,7,6,4] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,1,2,3,4]=>[7,5,6,1,2,3,4]=>[1,2,3,5,7,6,4] [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,1,2,3,4]=>[6,5,7,1,2,3,4]=>[1,2,3,6,5,7,4] [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,1,2,3,4]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4] [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,1,2,3,4]=>[6,7,5,1,2,3,4]=>[1,2,3,6,7,5,4] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,1,2,3,4]=>[5,6,7,1,2,3,4]=>[1,2,3,5,6,7,4] [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,1,2,3,4]=>[7,5,6,1,2,3,4]=>[1,2,3,5,7,6,4] [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,1,2,3,4]=>[6,5,7,1,2,3,4]=>[1,2,3,6,5,7,4] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>[5,6,7,1,2,3,4]=>[1,2,3,5,6,7,4] [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,1,2,3,5]=>[7,6,4,1,2,3,5]=>[1,2,4,7,6,3,5] [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,1,2,3,5]=>[6,7,4,1,2,3,5]=>[1,2,4,6,7,3,5] [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,1,2,3,6]=>[7,5,4,1,2,3,6]=>[1,2,5,7,4,3,6] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,1,2,3,8]=>[7,6,5,4,1,2,3]=>[1,2,7,6,5,4,3] [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,1,2,3,8]=>[5,6,7,4,1,2,3]=>[1,2,5,6,7,4,3] [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,1,2,3,6]=>[7,4,5,1,2,3,6]=>[1,2,4,5,7,3,6] [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,1,2,3,7]=>[6,4,5,1,2,3,7]=>[1,2,4,6,5,3,7] [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,1,2,3,8]=>[5,6,4,7,1,2,3]=>[1,2,5,6,4,7,3] [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,1,2,3,8]=>[7,4,5,6,1,2,3]=>[1,2,4,5,7,6,3] [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,1,2,3,8]=>[5,4,6,7,1,2,3]=>[1,2,5,4,6,7,3] [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,1,2,4,5]=>[7,6,3,1,2,4,5]=>[1,3,2,7,6,4,5] [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,1,2,4,5]=>[6,7,3,1,2,4,5]=>[1,3,2,6,7,4,5] [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,1,2,4,8]=>[5,6,7,3,1,2,4]=>[1,3,5,6,7,2,4] [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,1,2,5,8]=>[7,6,4,3,1,2,5]=>[1,4,7,6,3,2,5] [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,1,2,7,8]=>[5,6,4,3,1,2,7]=>[1,5,6,4,3,2,7] [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,1,2,7,8]=>[5,4,6,3,1,2,7]=>[1,5,4,6,3,2,7] [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,1,2,5,6]=>[7,3,4,1,2,5,6]=>[1,3,4,2,7,5,6] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,1,2,7,8]=>[5,6,3,4,1,2,7]=>[1,3,5,6,4,2,7] [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,1,2,7,8]=>[5,4,3,6,1,2,7]=>[1,5,4,3,6,2,7] [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,1,3,4,5]=>[7,6,2,1,3,4,5]=>[2,1,3,7,6,4,5] [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,1,3,4,5]=>[6,7,2,1,3,4,5]=>[2,1,3,6,7,4,5] [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,2,1,3,4,6]=>[7,5,2,1,3,4,6]=>[2,1,5,7,3,4,6] [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[7,8,5,2,1,3,4,6]=>[7,5,2,1,3,4,6]=>[2,1,5,7,3,4,6] [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,2,1,3,4,7]=>[5,6,2,1,3,4,7]=>[2,1,5,6,3,4,7] [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,1,3,4,8]=>[5,6,7,2,1,3,4]=>[2,1,5,6,7,3,4] [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[7,8,4,2,1,3,5,6]=>[7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6] [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,1,3,5,7]=>[6,4,2,1,3,5,7]=>[2,4,6,1,3,5,7] [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[5,6,4,2,1,3,7,8]=>[5,6,4,2,1,3,7]=>[2,5,6,4,1,3,7] [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[5,4,6,2,1,3,7,8]=>[5,4,6,2,1,3,7]=>[2,5,4,6,1,3,7] [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[8,7,3,2,1,4,5,6]=>[7,3,2,1,4,5,6]=>[3,2,1,7,4,5,6] [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,1,4,5,6]=>[7,3,2,1,4,5,6]=>[3,2,1,7,4,5,6] [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[5,6,3,2,1,4,7,8]=>[5,6,3,2,1,4,7]=>[3,5,6,2,1,4,7] [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[8,4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7] [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[7,4,3,2,1,5,6,8]=>[7,4,3,2,1,5,6]=>[4,3,7,2,1,5,6] [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[6,4,3,2,1,5,7,8]=>[6,4,3,2,1,5,7]=>[4,6,3,2,1,5,7] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7] [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,5,2,3,1,6,7,8]=>[4,5,2,3,1,6,7]=>[2,4,5,3,1,6,7] [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,1,5,6,7]=>[2,3,4,1,5,6,7]=>[2,3,4,1,5,6,7] [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,4,1,6,7,8]=>[5,2,3,4,1,6,7]=>[2,3,5,4,1,6,7] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,1,6,7,8]=>[2,3,4,5,1,6,7]=>[2,3,4,5,1,6,7] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,1,2,3,4,5]=>[7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5] [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[7,8,6,1,2,3,4,5]=>[7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[8,6,7,1,2,3,4,5]=>[6,7,1,2,3,4,5]=>[1,2,3,4,6,7,5] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[7,6,8,1,2,3,4,5]=>[7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,1,2,3,4,5]=>[6,7,1,2,3,4,5]=>[1,2,3,4,6,7,5] [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,1,2,3,4,6]=>[7,5,1,2,3,4,6]=>[1,2,3,5,7,4,6] [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[7,8,5,1,2,3,4,6]=>[7,5,1,2,3,4,6]=>[1,2,3,5,7,4,6] [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,1,2,3,4,7]=>[6,5,1,2,3,4,7]=>[1,2,3,6,5,4,7] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,1,2,3,4,8]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4] [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[6,7,5,1,2,3,4,8]=>[6,7,5,1,2,3,4]=>[1,2,3,6,7,5,4] [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,1,2,3,4,7]=>[5,6,1,2,3,4,7]=>[1,2,3,5,6,4,7] [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,1,2,3,4,8]=>[7,5,6,1,2,3,4]=>[1,2,3,5,7,6,4] [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[6,5,7,1,2,3,4,8]=>[6,5,7,1,2,3,4]=>[1,2,3,6,5,7,4] [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,1,2,3,4,8]=>[5,6,7,1,2,3,4]=>[1,2,3,5,6,7,4] [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[8,7,4,1,2,3,5,6]=>[7,4,1,2,3,5,6]=>[1,2,4,3,7,5,6] [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[4,5,6,1,2,3,7,8]=>[4,5,6,1,2,3,7]=>[1,2,4,5,6,3,7] [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,1,2,4,6,8]=>[7,5,3,1,2,4,6]=>[1,3,5,7,2,4,6] [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[6,4,3,1,2,5,7,8]=>[6,4,3,1,2,5,7]=>[1,4,6,3,2,5,7] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,1,3,4,5,6]=>[7,2,1,3,4,5,6]=>[2,1,3,4,7,5,6] [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7] [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>[2,3,1,4,5,6,7] [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[6,2,3,1,4,5,7,8]=>[6,2,3,1,4,5,7]=>[2,3,1,6,4,5,7] [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,1,5,6,7,8]=>[3,2,4,1,5,6,7]=>[3,2,4,1,5,6,7] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,1,5,6,7,8]=>[2,3,4,1,5,6,7]=>[2,3,4,1,5,6,7] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[8,7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[7,8,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6] [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,7,1,2,3,4,5,8]=>[6,7,1,2,3,4,5]=>[1,2,3,4,6,7,5] [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[7,5,1,2,3,4,6,8]=>[7,5,1,2,3,4,6]=>[1,2,3,5,7,4,6] [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[8,4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>[1,2,4,3,5,6,7] [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,4,1,2,3,5,7,8]=>[6,4,1,2,3,5,7]=>[1,2,4,6,3,5,7] [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[8,3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7] [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[7,3,1,2,4,5,6,8]=>[7,3,1,2,4,5,6]=>[1,3,2,4,7,5,6] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[5,3,1,2,4,6,7,8]=>[5,3,1,2,4,6,7]=>[1,3,5,2,4,6,7] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8]=>[3,4,1,2,5,6,7]=>[1,3,4,2,5,6,7] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[8,2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7] [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[7,2,1,3,4,5,6,8]=>[7,2,1,3,4,5,6]=>[2,1,3,4,7,5,6] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[6,1,2,3,4,5,7,8]=>[6,1,2,3,4,5,7]=>[1,2,3,4,6,5,7] [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[5,1,2,3,4,6,7,8]=>[5,1,2,3,4,6,7]=>[1,2,3,5,4,6,7] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7]=>[1,2,4,3,5,6,7] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7] [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]=>[1,2,3,4,5,6,7] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,8,1] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[9,2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8] [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,8,1] [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>[2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,9,1] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[11,1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[9,3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8] [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[4,2,3,5,6,7,8,9,1]=>[4,2,3,5,6,7,8,1]=>[2,4,3,5,6,7,8,1] [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[3,4,2,5,6,7,8,9,1]=>[3,4,2,5,6,7,8,1]=>[3,4,2,5,6,7,8,1] [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[3,2,4,5,6,7,8,9,10,1]=>[3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,9,1] [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>[2,3,4,5,6,7,8,9,10,1]=>[2,3,4,5,6,7,8,9,10,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[8,9,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,7] [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,1,2]=>[3,4,5,6,7,8,1,2]=>[1,3,4,5,6,7,8,2] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[9,8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,7] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[9,10,1,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,8] [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,1,2]=>[3,4,5,6,7,8,9,1,2]=>[1,3,4,5,6,7,8,9,2] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[10,9,1,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,8] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[7,8,6,5,4,3,2,1,9]=>[7,8,6,5,4,3,2,1]=>[7,8,6,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[7,6,8,5,4,3,2,1,9]=>[7,6,8,5,4,3,2,1]=>[7,6,8,5,4,3,2,1] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[8,7,6,4,5,3,2,1,9]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1] [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[8,7,5,4,6,3,2,1,9]=>[8,7,5,4,6,3,2,1]=>[5,8,7,4,6,3,2,1] [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1,9]=>[2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,8,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,1,2,9]=>[8,7,6,5,4,3,1,2]=>[1,8,7,6,5,4,3,2] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[7,8,5,6,3,4,1,2,9]=>[7,8,5,6,3,4,1,2]=>[1,3,5,7,8,6,4,2] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8] [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8,9]=>[2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,1,8] [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8] [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,1,2,3,4,9]=>[5,6,7,8,1,2,3,4]=>[1,2,3,5,6,7,8,4] [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[5,6,3,4,1,2,7,8,9]=>[5,6,3,4,1,2,7,8]=>[1,3,5,6,4,2,7,8] [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8] [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>[4,5,6,1,2,3,7,8,9]=>[4,5,6,1,2,3,7,8]=>[1,2,4,5,6,3,7,8] [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[7,8,1,2,3,4,5,6,9]=>[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,6] [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8,9]=>[3,4,1,2,5,6,7,8]=>[1,3,4,2,5,6,7,8] [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1,2,3,4,5,6,7,9]=>[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,7] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[7,1,2,3,4,5,6,8,9]=>[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,8] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8] [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]=>[1,2,3,4,5,6,7,8] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[8,9,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[8,7,9,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[8,7,6,9,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,9,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,9,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,9,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,2,9,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[9,10,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[7,8,9,6,5,4,3,2,1]=>[7,8,6,5,4,3,2,1]=>[7,8,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[9,8,10,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[8,6,7,9,5,4,3,2,1]=>[8,6,7,5,4,3,2,1]=>[6,8,7,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[9,8,7,10,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[8,7,5,6,9,4,3,2,1]=>[8,7,5,6,4,3,2,1]=>[5,8,7,6,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,10,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[8,7,6,4,5,9,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,10,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,3,4,9,2,1]=>[8,7,6,5,3,4,2,1]=>[3,8,7,6,5,4,2,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,10,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,2,3,9,1]=>[8,7,6,5,4,2,3,1]=>[2,8,7,6,5,4,3,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,10,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,2,10,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[6,7,8,9,10,5,4,3,2,1]=>[6,7,8,9,5,4,3,2,1]=>[6,7,8,9,5,4,3,2,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,3,1,2]=>[8,7,6,5,4,3,1,2]=>[1,8,7,6,5,4,3,2] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,3,4,1,2]=>[8,7,6,5,3,4,1,2]=>[1,3,8,7,6,5,4,2] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,6,3,4,1,2]=>[8,7,5,6,3,4,1,2]=>[1,3,5,8,7,6,4,2] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[9,7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>[1,3,5,7,8,6,4,2] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,1,2,3]=>[8,7,6,5,4,1,2,3]=>[1,2,8,7,6,5,4,3] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,4,5,1,2,3]=>[8,7,6,4,5,1,2,3]=>[1,2,4,8,7,6,5,3] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[8,9,6,7,4,5,1,2,3]=>[8,6,7,4,5,1,2,3]=>[1,2,4,6,8,7,5,3] [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[9,8,7,4,5,6,1,2,3]=>[8,7,4,5,6,1,2,3]=>[1,2,4,5,8,7,6,3] [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[7,8,9,4,5,6,1,2,3]=>[7,8,4,5,6,1,2,3]=>[1,2,4,5,7,8,6,3] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,1,2,3,4]=>[8,7,6,5,1,2,3,4]=>[1,2,3,8,7,6,5,4] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,6,1,2,3,4]=>[8,7,5,6,1,2,3,4]=>[1,2,3,5,8,7,6,4] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[9,7,8,5,6,1,2,3,4]=>[7,8,5,6,1,2,3,4]=>[1,2,3,5,7,8,6,4] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[9,8,5,6,7,1,2,3,4]=>[8,5,6,7,1,2,3,4]=>[1,2,3,5,6,8,7,4] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[8,9,5,6,7,1,2,3,4]=>[8,5,6,7,1,2,3,4]=>[1,2,3,5,6,8,7,4] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[9,5,6,7,8,1,2,3,4]=>[5,6,7,8,1,2,3,4]=>[1,2,3,5,6,7,8,4] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,1,2,3,4,5]=>[8,7,6,1,2,3,4,5]=>[1,2,3,4,8,7,6,5] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[9,8,6,7,1,2,3,4,5]=>[8,6,7,1,2,3,4,5]=>[1,2,3,4,6,8,7,5] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[9,6,7,8,1,2,3,4,5]=>[6,7,8,1,2,3,4,5]=>[1,2,3,4,6,7,8,5] [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,7,8,9,1,2,3,4,5]=>[6,7,8,1,2,3,4,5]=>[1,2,3,4,6,7,8,5] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[9,8,7,1,2,3,4,5,6]=>[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,8,7,6] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[9,7,8,1,2,3,4,5,6]=>[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,6] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,8,9,1,2,3,4,5,6]=>[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,6] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,1,2]=>[1,9,8,7,6,5,4,3,2] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,3,4,1,2]=>[9,8,7,6,5,3,4,1,2]=>[1,3,9,8,7,6,5,4,2] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,5,6,3,4,1,2]=>[9,8,7,5,6,3,4,1,2]=>[1,3,5,9,8,7,6,4,2] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[10,9,7,8,5,6,3,4,1,2]=>[9,7,8,5,6,3,4,1,2]=>[1,3,5,7,9,8,6,4,2] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,3,4,1,2]=>[9,7,8,5,6,3,4,1,2]=>[1,3,5,7,9,8,6,4,2] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,1,2,3]=>[9,8,7,6,5,4,1,2,3]=>[1,2,9,8,7,6,5,4,3] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,4,5,1,2,3]=>[9,8,7,6,4,5,1,2,3]=>[1,2,4,9,8,7,6,5,3] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[10,8,9,6,7,4,5,1,2,3]=>[8,9,6,7,4,5,1,2,3]=>[1,2,4,6,8,9,7,5,3] [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,4,5,6,1,2,3]=>[9,7,8,4,5,6,1,2,3]=>[1,2,4,5,7,9,8,6,3] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,1,2,3,4]=>[9,8,7,6,5,1,2,3,4]=>[1,2,3,9,8,7,6,5,4] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,1,2,3,4]=>[9,7,8,5,6,1,2,3,4]=>[1,2,3,5,7,9,8,6,4] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[8,9,10,5,6,7,1,2,3,4]=>[8,9,5,6,7,1,2,3,4]=>[1,2,3,5,6,8,9,7,4] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[10,9,5,6,7,8,1,2,3,4]=>[9,5,6,7,8,1,2,3,4]=>[1,2,3,5,6,7,9,8,4] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[9,10,5,6,7,8,1,2,3,4]=>[9,5,6,7,8,1,2,3,4]=>[1,2,3,5,6,7,9,8,4] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,1,2,3,4,5]=>[9,8,7,6,1,2,3,4,5]=>[1,2,3,4,9,8,7,6,5] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[10,8,9,6,7,1,2,3,4,5]=>[8,9,6,7,1,2,3,4,5]=>[1,2,3,4,6,8,9,7,5] [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[10,6,7,8,9,1,2,3,4,5]=>[6,7,8,9,1,2,3,4,5]=>[1,2,3,4,6,7,8,9,5] [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[6,7,8,9,10,1,2,3,4,5]=>[6,7,8,9,1,2,3,4,5]=>[1,2,3,4,6,7,8,9,5] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,1,2,3,4,5,6]=>[9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,9,8,7,6] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[10,7,8,9,1,2,3,4,5,6]=>[7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,9,6] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,1,2,3,4,5,6]=>[7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,9,6] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[10,9,8,1,2,3,4,5,6,7]=>[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,9,8,7] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]=>[10,8,9,1,2,3,4,5,6,7]=>[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,9,7] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[8,9,10,1,2,3,4,5,6,7]=>[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,9,7] [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]=>[1,2,3,4,5,6,7,8,9] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[8,9,7,6,5,4,3,2,1,10]=>[8,9,7,6,5,4,3,2,1]=>[8,9,7,6,5,4,3,2,1] [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1,10]=>[2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,9,1] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1,2,3,4,5,6,7,8,10]=>[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,8] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[10,1,2,3,4,5,6,7,8,9,11]=>[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,10,9] [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9] [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10] [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[9,8,7,5,6,4,3,2,1,10]=>[9,8,7,5,6,4,3,2,1]=>[5,9,8,7,6,4,3,2,1] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9] [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8,9,10]=>[3,4,1,2,5,6,7,8,9]=>[1,3,4,2,5,6,7,8,9] [1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]=>[4,5,6,1,2,3,7,8,9,10]=>[4,5,6,1,2,3,7,8,9]=>[1,2,4,5,6,3,7,8,9] [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[5,6,7,8,1,2,3,4,9,10]=>[5,6,7,8,1,2,3,4,9]=>[1,2,3,5,6,7,8,4,9] [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9] [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9] [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9] [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,9,1,2,3,4,5,6,7,10]=>[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,9,7] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0]=>[11,10,1,2,3,4,5,6,7,8,9]=>[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,10,9] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[9,3,4,5,6,7,1,2,8]=>[3,4,5,6,7,1,2,8]=>[1,3,4,5,6,7,2,8] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[7,8,5,6,3,4,1,2,9,10]=>[7,8,5,6,3,4,1,2,9]=>[1,3,5,7,8,6,4,2,9] [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[7,8,9,4,5,6,1,2,3,10]=>[7,8,9,4,5,6,1,2,3]=>[1,2,4,5,7,8,9,6,3]
Map
to 132-avoiding permutation
Description
Sends a Dyck path to a 132-avoiding permutation.
This bijection is defined in [1, Section 2].
Map
restriction
Description
The permutation obtained by removing the largest letter.
This map is undefined for the empty permutation.
Map
Foata bijection
Description
Sends a permutation to its image under the Foata bijection.
The Foata bijection $\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$.
At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
  • If $w_{i+1} \geq v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} \geq v_k$.
  • If $w_{i+1} < v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} < v_k$.
In either case, place a vertical line at the start of the word as well. Now, within each block between vertical lines, cyclically shift the entries one place to the right.
To compute $\phi([1,4,2,5,3])$, the sequence of words is
  • $1$
  • $|1|4 \to 14$
  • $|14|2 \to 412$
  • $|4|1|2|5 \to 4125$
  • $|4|125|3 \to 45123.$
In total, this gives $\phi([1,4,2,5,3]) = [4,5,1,2,3]$.
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).