Identifier
Mp00119: Dyck paths to 321-avoiding permutation (Krattenthaler)Permutations
Mp00064: Permutations reversePermutations
Mp00066: Permutations inversePermutations
Images
=>
Cc0005;cc-rep-0
[1,0]=>[1]=>[1]=>[1] [1,0,1,0]=>[1,2]=>[2,1]=>[2,1] [1,1,0,0]=>[2,1]=>[1,2]=>[1,2] [1,0,1,0,1,0]=>[1,2,3]=>[3,2,1]=>[3,2,1] [1,0,1,1,0,0]=>[1,3,2]=>[2,3,1]=>[3,1,2] [1,1,0,0,1,0]=>[2,1,3]=>[3,1,2]=>[2,3,1] [1,1,0,1,0,0]=>[2,3,1]=>[1,3,2]=>[1,3,2] [1,1,1,0,0,0]=>[3,1,2]=>[2,1,3]=>[2,1,3] [1,0,1,0,1,0,1,0]=>[1,2,3,4]=>[4,3,2,1]=>[4,3,2,1] [1,0,1,0,1,1,0,0]=>[1,2,4,3]=>[3,4,2,1]=>[4,3,1,2] [1,0,1,1,0,0,1,0]=>[1,3,2,4]=>[4,2,3,1]=>[4,2,3,1] [1,0,1,1,0,1,0,0]=>[1,3,4,2]=>[2,4,3,1]=>[4,1,3,2] [1,0,1,1,1,0,0,0]=>[1,4,2,3]=>[3,2,4,1]=>[4,2,1,3] [1,1,0,0,1,0,1,0]=>[2,1,3,4]=>[4,3,1,2]=>[3,4,2,1] [1,1,0,0,1,1,0,0]=>[2,1,4,3]=>[3,4,1,2]=>[3,4,1,2] [1,1,0,1,0,0,1,0]=>[2,3,1,4]=>[4,1,3,2]=>[2,4,3,1] [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>[1,4,3,2]=>[1,4,3,2] [1,1,0,1,1,0,0,0]=>[2,4,1,3]=>[3,1,4,2]=>[2,4,1,3] [1,1,1,0,0,0,1,0]=>[3,1,2,4]=>[4,2,1,3]=>[3,2,4,1] [1,1,1,0,0,1,0,0]=>[3,1,4,2]=>[2,4,1,3]=>[3,1,4,2] [1,1,1,0,1,0,0,0]=>[3,4,1,2]=>[2,1,4,3]=>[2,1,4,3] [1,1,1,1,0,0,0,0]=>[4,1,2,3]=>[3,2,1,4]=>[3,2,1,4] [1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[5,4,3,2,1] [1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>[4,5,3,2,1]=>[5,4,3,1,2] [1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>[5,3,4,2,1]=>[5,4,2,3,1] [1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>[3,5,4,2,1]=>[5,4,1,3,2] [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,3,4]=>[4,3,5,2,1]=>[5,4,2,1,3] [1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>[5,4,2,3,1]=>[5,3,4,2,1] [1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>[4,5,2,3,1]=>[5,3,4,1,2] [1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>[5,2,4,3,1]=>[5,2,4,3,1] [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>[2,5,4,3,1]=>[5,1,4,3,2] [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[5,2,4,1,3] [1,0,1,1,1,0,0,0,1,0]=>[1,4,2,3,5]=>[5,3,2,4,1]=>[5,3,2,4,1] [1,0,1,1,1,0,0,1,0,0]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[5,3,1,4,2] [1,0,1,1,1,0,1,0,0,0]=>[1,4,5,2,3]=>[3,2,5,4,1]=>[5,2,1,4,3] [1,0,1,1,1,1,0,0,0,0]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,2,1,4] [1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>[5,4,3,1,2]=>[4,5,3,2,1] [1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>[4,5,3,1,2]=>[4,5,3,1,2] [1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>[5,3,4,1,2]=>[4,5,2,3,1] [1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>[3,5,4,1,2]=>[4,5,1,3,2] [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,3,4]=>[4,3,5,1,2]=>[4,5,2,1,3] [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>[5,4,1,3,2]=>[3,5,4,2,1] [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>[4,5,1,3,2]=>[3,5,4,1,2] [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>[5,1,4,3,2]=>[2,5,4,3,1] [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>[1,5,4,3,2]=>[1,5,4,3,2] [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>[4,1,5,3,2]=>[2,5,4,1,3] [1,1,0,1,1,0,0,0,1,0]=>[2,4,1,3,5]=>[5,3,1,4,2]=>[3,5,2,4,1] [1,1,0,1,1,0,0,1,0,0]=>[2,4,1,5,3]=>[3,5,1,4,2]=>[3,5,1,4,2] [1,1,0,1,1,0,1,0,0,0]=>[2,4,5,1,3]=>[3,1,5,4,2]=>[2,5,1,4,3] [1,1,0,1,1,1,0,0,0,0]=>[2,5,1,3,4]=>[4,3,1,5,2]=>[3,5,2,1,4] [1,1,1,0,0,0,1,0,1,0]=>[3,1,2,4,5]=>[5,4,2,1,3]=>[4,3,5,2,1] [1,1,1,0,0,0,1,1,0,0]=>[3,1,2,5,4]=>[4,5,2,1,3]=>[4,3,5,1,2] [1,1,1,0,0,1,0,0,1,0]=>[3,1,4,2,5]=>[5,2,4,1,3]=>[4,2,5,3,1] [1,1,1,0,0,1,0,1,0,0]=>[3,1,4,5,2]=>[2,5,4,1,3]=>[4,1,5,3,2] [1,1,1,0,0,1,1,0,0,0]=>[3,1,5,2,4]=>[4,2,5,1,3]=>[4,2,5,1,3] [1,1,1,0,1,0,0,0,1,0]=>[3,4,1,2,5]=>[5,2,1,4,3]=>[3,2,5,4,1] [1,1,1,0,1,0,0,1,0,0]=>[3,4,1,5,2]=>[2,5,1,4,3]=>[3,1,5,4,2] [1,1,1,0,1,0,1,0,0,0]=>[3,4,5,1,2]=>[2,1,5,4,3]=>[2,1,5,4,3] [1,1,1,0,1,1,0,0,0,0]=>[3,5,1,2,4]=>[4,2,1,5,3]=>[3,2,5,1,4] [1,1,1,1,0,0,0,0,1,0]=>[4,1,2,3,5]=>[5,3,2,1,4]=>[4,3,2,5,1] [1,1,1,1,0,0,0,1,0,0]=>[4,1,2,5,3]=>[3,5,2,1,4]=>[4,3,1,5,2] [1,1,1,1,0,0,1,0,0,0]=>[4,1,5,2,3]=>[3,2,5,1,4]=>[4,2,1,5,3] [1,1,1,1,0,1,0,0,0,0]=>[4,5,1,2,3]=>[3,2,1,5,4]=>[3,2,1,5,4] [1,1,1,1,1,0,0,0,0,0]=>[5,1,2,3,4]=>[4,3,2,1,5]=>[4,3,2,1,5] [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[6,5,4,3,1,2] [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[6,5,4,2,3,1] [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[6,5,4,1,3,2] [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[6,5,4,2,1,3] [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1] [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[6,5,3,4,1,2] [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[6,5,2,4,3,1] [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>[6,5,1,4,3,2] [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[6,5,2,4,1,3] [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[6,5,3,2,4,1] [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[6,5,3,1,4,2] [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[6,5,2,1,4,3] [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[6,5,3,2,1,4] [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[6,4,5,3,2,1] [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[6,4,5,3,1,2] [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1] [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>[6,4,5,1,3,2] [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[6,4,5,2,1,3] [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[6,3,5,4,2,1] [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>[6,3,5,4,1,2] [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1] [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>[6,1,5,4,3,2] [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>[6,2,5,4,1,3] [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[6,3,5,2,4,1] [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>[6,3,5,1,4,2] [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>[6,2,5,1,4,3] [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[6,3,5,2,1,4] [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[6,4,3,5,2,1] [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[6,4,3,5,1,2] [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[6,4,2,5,3,1] [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>[6,4,1,5,3,2] [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[6,4,2,5,1,3] [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1] [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>[6,3,1,5,4,2] [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>[6,2,1,5,4,3] [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[6,3,2,5,1,4] [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1] [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[6,4,3,1,5,2] [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[6,4,2,1,5,3] [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[6,3,2,1,5,4] [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,4,3,2,1,5] [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>[5,6,4,3,2,1] [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2] [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]=>[6,4,5,3,1,2]=>[5,6,4,2,3,1] [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>[4,6,5,3,1,2]=>[5,6,4,1,3,2] [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,4,5]=>[5,4,6,3,1,2]=>[5,6,4,2,1,3] [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[6,5,3,4,1,2]=>[5,6,3,4,2,1] [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2] [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[6,3,5,4,1,2]=>[5,6,2,4,3,1] [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>[3,6,5,4,1,2]=>[5,6,1,4,3,2] [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,3,5]=>[5,3,6,4,1,2]=>[5,6,2,4,1,3] [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,3,4,6]=>[6,4,3,5,1,2]=>[5,6,3,2,4,1] [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,3,6,4]=>[4,6,3,5,1,2]=>[5,6,3,1,4,2] [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,5,6,3,4]=>[4,3,6,5,1,2]=>[5,6,2,1,4,3] [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,3,4,5]=>[5,4,3,6,1,2]=>[5,6,3,2,1,4] [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>[4,6,5,3,2,1] [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>[5,6,4,1,3,2]=>[4,6,5,3,1,2] [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>[6,4,5,1,3,2]=>[4,6,5,2,3,1] [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2] [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[4,6,5,2,1,3] [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>[3,6,5,4,2,1] [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>[5,6,1,4,3,2]=>[3,6,5,4,1,2] [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>[2,6,5,4,3,1] [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2] [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>[2,6,5,4,1,3] [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>[3,6,5,2,4,1] [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,1,6,4]=>[4,6,1,5,3,2]=>[3,6,5,1,4,2] [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>[2,6,5,1,4,3] [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[3,6,5,2,1,4] [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>[4,6,3,5,2,1] [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,6,5]=>[5,6,3,1,4,2]=>[4,6,3,5,1,2] [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,1,5,3,6]=>[6,3,5,1,4,2]=>[4,6,2,5,3,1] [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,1,5,6,3]=>[3,6,5,1,4,2]=>[4,6,1,5,3,2] [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[4,6,2,5,1,3] [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>[3,6,2,5,4,1] [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,5,1,6,3]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2] [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>[2,6,1,5,4,3] [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[3,6,2,5,1,4] [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>[4,6,3,2,5,1] [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,1,3,6,4]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2] [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,5,1,6,3,4]=>[4,3,6,1,5,2]=>[4,6,2,1,5,3] [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>[3,6,2,1,5,4] [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>[4,6,3,2,1,5] [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>[5,4,6,3,2,1] [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,1,2,4,6,5]=>[5,6,4,2,1,3]=>[5,4,6,3,1,2] [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,2,5,4,6]=>[6,4,5,2,1,3]=>[5,4,6,2,3,1] [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[5,4,6,1,3,2] [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,1,2,6,4,5]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3] [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,4,2,5,6]=>[6,5,2,4,1,3]=>[5,3,6,4,2,1] [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,4,2,6,5]=>[5,6,2,4,1,3]=>[5,3,6,4,1,2] [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,4,5,2,6]=>[6,2,5,4,1,3]=>[5,2,6,4,3,1] [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,2]=>[2,6,5,4,1,3]=>[5,1,6,4,3,2] [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,1,4,6,2,5]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3] [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,5,2,4,6]=>[6,4,2,5,1,3]=>[5,3,6,2,4,1] [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[5,3,6,1,4,2] [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,1,5,6,2,4]=>[4,2,6,5,1,3]=>[5,2,6,1,4,3] [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,1,6,2,4,5]=>[5,4,2,6,1,3]=>[5,3,6,2,1,4] [1,1,1,0,1,0,0,0,1,0,1,0]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>[4,3,6,5,2,1] [1,1,1,0,1,0,0,0,1,1,0,0]=>[3,4,1,2,6,5]=>[5,6,2,1,4,3]=>[4,3,6,5,1,2] [1,1,1,0,1,0,0,1,0,0,1,0]=>[3,4,1,5,2,6]=>[6,2,5,1,4,3]=>[4,2,6,5,3,1] [1,1,1,0,1,0,0,1,0,1,0,0]=>[3,4,1,5,6,2]=>[2,6,5,1,4,3]=>[4,1,6,5,3,2] [1,1,1,0,1,0,0,1,1,0,0,0]=>[3,4,1,6,2,5]=>[5,2,6,1,4,3]=>[4,2,6,5,1,3] [1,1,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>[3,2,6,5,4,1] [1,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,1,6,2]=>[2,6,1,5,4,3]=>[3,1,6,5,4,2] [1,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,1,2]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3] [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>[3,2,6,5,1,4] [1,1,1,0,1,1,0,0,0,0,1,0]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>[4,3,6,2,5,1] [1,1,1,0,1,1,0,0,0,1,0,0]=>[3,5,1,2,6,4]=>[4,6,2,1,5,3]=>[4,3,6,1,5,2] [1,1,1,0,1,1,0,0,1,0,0,0]=>[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3] [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[3,2,6,1,5,4] [1,1,1,0,1,1,1,0,0,0,0,0]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>[4,3,6,2,1,5] [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>[5,4,3,6,2,1] [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,1,2,3,6,5]=>[5,6,3,2,1,4]=>[5,4,3,6,1,2] [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,5,3,6]=>[6,3,5,2,1,4]=>[5,4,2,6,3,1] [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[5,4,1,6,3,2] [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,1,2,6,3,5]=>[5,3,6,2,1,4]=>[5,4,2,6,1,3] [1,1,1,1,0,0,1,0,0,0,1,0]=>[4,1,5,2,3,6]=>[6,3,2,5,1,4]=>[5,3,2,6,4,1] [1,1,1,1,0,0,1,0,0,1,0,0]=>[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[5,3,1,6,4,2] [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,1,5,6,2,3]=>[3,2,6,5,1,4]=>[5,2,1,6,4,3] [1,1,1,1,0,0,1,1,0,0,0,0]=>[4,1,6,2,3,5]=>[5,3,2,6,1,4]=>[5,3,2,6,1,4] [1,1,1,1,0,1,0,0,0,0,1,0]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>[4,3,2,6,5,1] [1,1,1,1,0,1,0,0,0,1,0,0]=>[4,5,1,2,6,3]=>[3,6,2,1,5,4]=>[4,3,1,6,5,2] [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[4,2,1,6,5,3] [1,1,1,1,0,1,0,1,0,0,0,0]=>[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4] [1,1,1,1,0,1,1,0,0,0,0,0]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>[4,3,2,6,1,5] [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>[5,4,3,2,6,1] [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1,2,3,6,4]=>[4,6,3,2,1,5]=>[5,4,3,1,6,2] [1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1,2,6,3,4]=>[4,3,6,2,1,5]=>[5,4,2,1,6,3] [1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1,6,2,3,4]=>[4,3,2,6,1,5]=>[5,3,2,1,6,4] [1,1,1,1,1,0,1,0,0,0,0,0]=>[5,6,1,2,3,4]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5] [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,1,2,3,4,5]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6] [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>[7,6,5,4,3,1,2] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>[7,6,5,4,2,3,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>[7,6,5,4,1,3,2] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>[7,6,5,4,2,1,3] [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>[7,6,5,3,4,2,1] [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>[7,6,5,3,4,1,2] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>[7,6,5,2,4,3,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>[7,6,5,1,4,3,2] [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>[7,6,5,2,4,1,3] [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>[7,6,5,3,2,4,1] [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>[7,6,5,3,1,4,2] [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>[7,6,5,2,1,4,3] [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>[7,6,5,3,2,1,4] [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>[7,6,4,5,3,2,1] [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>[7,6,4,5,3,1,2] [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>[7,6,4,5,2,3,1] [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>[7,6,4,5,1,3,2] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>[7,6,4,5,2,1,3] [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1] [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>[7,6,3,5,4,1,2] [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>[7,6,2,5,4,3,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>[7,6,1,5,4,3,2] [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>[7,6,2,5,4,1,3] [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>[7,6,3,5,2,4,1] [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>[7,6,3,5,1,4,2] [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>[7,6,2,5,1,4,3] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>[7,6,3,5,2,1,4] [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1] [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>[7,6,4,3,5,1,2] [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>[7,6,4,2,5,3,1] [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>[7,6,4,1,5,3,2] [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>[7,6,4,2,5,1,3] [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>[7,6,3,2,5,4,1] [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>[7,6,3,1,5,4,2] [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>[7,6,2,1,5,4,3] [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>[7,6,3,2,5,1,4] [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>[7,6,4,3,2,5,1] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>[7,6,4,3,1,5,2] [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>[7,6,4,2,1,5,3] [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>[7,6,3,2,1,5,4] [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>[7,6,4,3,2,1,5] [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[7,5,6,4,3,2,1] [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>[7,5,6,4,3,1,2] [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1] [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>[7,5,6,4,1,3,2] [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>[7,5,6,4,2,1,3] [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>[7,5,6,3,4,2,1] [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>[7,5,6,3,4,1,2] [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>[7,5,6,2,4,3,1] [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]=>[7,5,6,1,4,3,2] [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]=>[7,5,6,2,4,1,3] [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>[7,5,6,3,2,4,1] [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>[7,5,6,3,1,4,2] [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>[7,5,6,2,1,4,3] [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>[7,5,6,3,2,1,4] [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[7,4,6,5,3,2,1] [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>[7,4,6,5,3,1,2] [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>[7,4,6,5,2,3,1] [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]=>[7,4,6,5,1,3,2] [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]=>[7,4,6,5,2,1,3] [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[7,3,6,5,4,2,1] [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]=>[7,3,6,5,4,1,2] [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>[7,1,6,5,4,3,2] [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1]=>[7,2,6,5,4,1,3] [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]=>[7,3,6,5,2,4,1] [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1]=>[7,3,6,5,1,4,2] [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,6,7,2,5]=>[5,2,7,6,4,3,1]=>[7,2,6,5,1,4,3] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]=>[7,3,6,5,2,1,4] [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>[7,4,6,3,5,2,1] [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]=>[7,4,6,3,5,1,2] [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1] [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,2,6,7,4]=>[4,7,6,2,5,3,1]=>[7,4,6,1,5,3,2] [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]=>[7,4,6,2,5,1,3] [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]=>[7,3,6,2,5,4,1] [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1]=>[7,3,6,1,5,4,2] [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1]=>[7,2,6,1,5,4,3] [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]=>[7,3,6,2,5,1,4] [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>[7,4,6,3,2,5,1] [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]=>[7,4,6,3,1,5,2] [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]=>[7,4,6,2,1,5,3] [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]=>[7,3,6,2,1,5,4] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>[7,4,6,3,2,1,5] [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[7,5,4,6,3,2,1] [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>[7,5,4,6,3,1,2] [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>[7,5,4,6,2,3,1] [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]=>[7,5,4,6,1,3,2] [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>[7,5,4,6,2,1,3] [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>[7,5,3,6,4,2,1] [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>[7,5,3,6,4,1,2] [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]=>[7,5,2,6,4,3,1] [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1]=>[7,5,1,6,4,3,2] [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]=>[7,5,2,6,4,1,3] [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1] [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>[7,5,3,6,1,4,2] [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]=>[7,5,2,6,1,4,3] [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>[7,5,3,6,2,1,4] [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>[7,4,3,6,5,2,1] [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>[7,4,3,6,5,1,2] [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]=>[7,4,2,6,5,3,1] [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1]=>[7,4,1,6,5,3,2] [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]=>[7,4,2,6,5,1,3] [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1] [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1]=>[7,3,1,6,5,4,2] [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>[7,2,1,6,5,4,3] [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]=>[7,3,2,6,5,1,4] [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>[7,4,3,6,2,5,1] [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]=>[7,4,3,6,1,5,2] [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>[7,4,2,6,1,5,3] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>[7,3,2,6,1,5,4] [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>[7,4,3,6,2,1,5] [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>[7,5,4,3,6,2,1] [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>[7,5,4,3,6,1,2] [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>[7,5,4,2,6,3,1] [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]=>[7,5,4,1,6,3,2] [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>[7,5,4,2,6,1,3] [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>[7,5,3,2,6,4,1] [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>[7,5,3,1,6,4,2] [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]=>[7,5,2,1,6,4,3] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>[7,5,3,2,6,1,4] [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1] [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]=>[7,4,3,1,6,5,2] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>[7,4,2,1,6,5,3] [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>[7,3,2,1,6,5,4] [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>[7,4,3,2,6,1,5] [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>[7,5,4,3,1,6,2] [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>[7,5,4,2,1,6,3] [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>[7,5,3,2,1,6,4] [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>[7,4,3,2,1,6,5] [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>[7,5,4,3,2,1,6] [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>[6,7,5,4,3,2,1] [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2] [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]=>[6,7,5,4,2,3,1] [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,6,7,5]=>[5,7,6,4,3,1,2]=>[6,7,5,4,1,3,2] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,5,6]=>[6,5,7,4,3,1,2]=>[6,7,5,4,2,1,3] [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]=>[6,7,5,3,4,2,1] [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]=>[6,7,5,3,4,1,2] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,6,4,7]=>[7,4,6,5,3,1,2]=>[6,7,5,2,4,3,1] [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2]=>[6,7,5,1,4,3,2] [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,4,6]=>[6,4,7,5,3,1,2]=>[6,7,5,2,4,1,3] [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,4,5,7]=>[7,5,4,6,3,1,2]=>[6,7,5,3,2,4,1] [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,4,7,5]=>[5,7,4,6,3,1,2]=>[6,7,5,3,1,4,2] [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,6,7,4,5]=>[5,4,7,6,3,1,2]=>[6,7,5,2,1,4,3] [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,4,5,6]=>[6,5,4,7,3,1,2]=>[6,7,5,3,2,1,4] [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]=>[6,7,4,5,3,2,1] [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]=>[6,7,4,5,3,1,2] [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]=>[6,7,4,5,2,3,1] [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,7,5]=>[5,7,6,3,4,1,2]=>[6,7,4,5,1,3,2] [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2]=>[6,7,4,5,2,1,3] [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,3,6,7]=>[7,6,3,5,4,1,2]=>[6,7,3,5,4,2,1] [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,3,7,6]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2] [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,3,7]=>[7,3,6,5,4,1,2]=>[6,7,2,5,4,3,1] [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2]=>[6,7,1,5,4,3,2] [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,3,6]=>[6,3,7,5,4,1,2]=>[6,7,2,5,4,1,3] [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,3,5,7]=>[7,5,3,6,4,1,2]=>[6,7,3,5,2,4,1] [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,3,7,5]=>[5,7,3,6,4,1,2]=>[6,7,3,5,1,4,2] [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,6,7,3,5]=>[5,3,7,6,4,1,2]=>[6,7,2,5,1,4,3] [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,3,5,6]=>[6,5,3,7,4,1,2]=>[6,7,3,5,2,1,4] [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,3,4,6,7]=>[7,6,4,3,5,1,2]=>[6,7,4,3,5,2,1] [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,3,4,7,6]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2] [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,3,6,4,7]=>[7,4,6,3,5,1,2]=>[6,7,4,2,5,3,1] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,3,6,7,4]=>[4,7,6,3,5,1,2]=>[6,7,4,1,5,3,2] [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2]=>[6,7,4,2,5,1,3] [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,5,6,3,4,7]=>[7,4,3,6,5,1,2]=>[6,7,3,2,5,4,1] [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,5,6,3,7,4]=>[4,7,3,6,5,1,2]=>[6,7,3,1,5,4,2] [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,3,4]=>[4,3,7,6,5,1,2]=>[6,7,2,1,5,4,3] [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,5,7,3,4,6]=>[6,4,3,7,5,1,2]=>[6,7,3,2,5,1,4] [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,3,4,5,7]=>[7,5,4,3,6,1,2]=>[6,7,4,3,2,5,1] [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,3,4,7,5]=>[5,7,4,3,6,1,2]=>[6,7,4,3,1,5,2] [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,6,3,7,4,5]=>[5,4,7,3,6,1,2]=>[6,7,4,2,1,5,3] [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,6,7,3,4,5]=>[5,4,3,7,6,1,2]=>[6,7,3,2,1,5,4] [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2]=>[6,7,4,3,2,1,5] [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2]=>[5,7,6,4,3,2,1] [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2]=>[5,7,6,4,3,1,2] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2]=>[5,7,6,4,2,3,1] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,6,7,5]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>[5,7,6,4,2,1,3] [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,4,6,7]=>[7,6,4,5,1,3,2]=>[5,7,6,3,4,2,1] [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2]=>[5,7,6,3,4,1,2] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2]=>[5,7,6,2,4,3,1] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,4]=>[4,7,6,5,1,3,2]=>[5,7,6,1,4,3,2] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,4,6]=>[6,4,7,5,1,3,2]=>[5,7,6,2,4,1,3] [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,4,5,7]=>[7,5,4,6,1,3,2]=>[5,7,6,3,2,4,1] [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,4,7,5]=>[5,7,4,6,1,3,2]=>[5,7,6,3,1,4,2] [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,6,7,4,5]=>[5,4,7,6,1,3,2]=>[5,7,6,2,1,4,3] [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,4,5,6]=>[6,5,4,7,1,3,2]=>[5,7,6,3,2,1,4] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2]=>[4,7,6,5,3,2,1] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2]=>[4,7,6,5,3,1,2] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2]=>[4,7,6,5,2,3,1] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2]=>[4,7,6,5,1,3,2] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2]=>[4,7,6,5,2,1,3] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2]=>[3,7,6,5,4,2,1] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2]=>[3,7,6,5,4,1,2] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2]=>[2,7,6,5,4,3,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2] [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,1,6]=>[6,1,7,5,4,3,2]=>[2,7,6,5,4,1,3] [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2]=>[3,7,6,5,2,4,1] [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,1,7,5]=>[5,7,1,6,4,3,2]=>[3,7,6,5,1,4,2] [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2]=>[2,7,6,5,1,4,3] [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,1,5,6]=>[6,5,1,7,4,3,2]=>[3,7,6,5,2,1,4] [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,1,4,6,7]=>[7,6,4,1,5,3,2]=>[4,7,6,3,5,2,1] [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,1,4,7,6]=>[6,7,4,1,5,3,2]=>[4,7,6,3,5,1,2] [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,1,6,4,7]=>[7,4,6,1,5,3,2]=>[4,7,6,2,5,3,1] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,1,6,7,4]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2] [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,1,7,4,6]=>[6,4,7,1,5,3,2]=>[4,7,6,2,5,1,3] [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,5,6,1,4,7]=>[7,4,1,6,5,3,2]=>[3,7,6,2,5,4,1] [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,5,6,1,7,4]=>[4,7,1,6,5,3,2]=>[3,7,6,1,5,4,2] [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,1,4]=>[4,1,7,6,5,3,2]=>[2,7,6,1,5,4,3] [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,5,7,1,4,6]=>[6,4,1,7,5,3,2]=>[3,7,6,2,5,1,4] [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,1,4,5,7]=>[7,5,4,1,6,3,2]=>[4,7,6,3,2,5,1] [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,1,4,7,5]=>[5,7,4,1,6,3,2]=>[4,7,6,3,1,5,2] [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,6,1,7,4,5]=>[5,4,7,1,6,3,2]=>[4,7,6,2,1,5,3] [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,6,7,1,4,5]=>[5,4,1,7,6,3,2]=>[3,7,6,2,1,5,4] [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,1,4,5,6]=>[6,5,4,1,7,3,2]=>[4,7,6,3,2,1,5] [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2]=>[5,7,4,6,3,2,1] [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,1,3,5,7,6]=>[6,7,5,3,1,4,2]=>[5,7,4,6,3,1,2] [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,1,3,6,5,7]=>[7,5,6,3,1,4,2]=>[5,7,4,6,2,3,1] [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,1,3,6,7,5]=>[5,7,6,3,1,4,2]=>[5,7,4,6,1,3,2] [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,1,3,7,5,6]=>[6,5,7,3,1,4,2]=>[5,7,4,6,2,1,3] [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,1,5,3,6,7]=>[7,6,3,5,1,4,2]=>[5,7,3,6,4,2,1] [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,1,5,3,7,6]=>[6,7,3,5,1,4,2]=>[5,7,3,6,4,1,2] [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,1,5,6,3,7]=>[7,3,6,5,1,4,2]=>[5,7,2,6,4,3,1] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,1,5,6,7,3]=>[3,7,6,5,1,4,2]=>[5,7,1,6,4,3,2] [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,1,5,7,3,6]=>[6,3,7,5,1,4,2]=>[5,7,2,6,4,1,3] [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,1,6,3,5,7]=>[7,5,3,6,1,4,2]=>[5,7,3,6,2,4,1] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,1,6,3,7,5]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2] [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,1,6,7,3,5]=>[5,3,7,6,1,4,2]=>[5,7,2,6,1,4,3] [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,1,7,3,5,6]=>[6,5,3,7,1,4,2]=>[5,7,3,6,2,1,4] [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,4,5,1,3,6,7]=>[7,6,3,1,5,4,2]=>[4,7,3,6,5,2,1] [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,4,5,1,3,7,6]=>[6,7,3,1,5,4,2]=>[4,7,3,6,5,1,2] [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2]=>[4,7,2,6,5,3,1] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,1,6,7,3]=>[3,7,6,1,5,4,2]=>[4,7,1,6,5,3,2] [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,4,5,1,7,3,6]=>[6,3,7,1,5,4,2]=>[4,7,2,6,5,1,3] [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2]=>[3,7,2,6,5,4,1] [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,1,7,3]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2] [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2]=>[2,7,1,6,5,4,3] [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,4,5,7,1,3,6]=>[6,3,1,7,5,4,2]=>[3,7,2,6,5,1,4] [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2]=>[4,7,3,6,2,5,1] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,4,6,1,3,7,5]=>[5,7,3,1,6,4,2]=>[4,7,3,6,1,5,2] [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,6,1,7,3,5]=>[5,3,7,1,6,4,2]=>[4,7,2,6,1,5,3] [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,6,7,1,3,5]=>[5,3,1,7,6,4,2]=>[3,7,2,6,1,5,4] [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,4,7,1,3,5,6]=>[6,5,3,1,7,4,2]=>[4,7,3,6,2,1,5] [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2]=>[5,7,4,3,6,2,1] [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,1,3,4,7,6]=>[6,7,4,3,1,5,2]=>[5,7,4,3,6,1,2] [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2]=>[5,7,4,2,6,3,1] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,1,3,6,7,4]=>[4,7,6,3,1,5,2]=>[5,7,4,1,6,3,2] [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,1,3,7,4,6]=>[6,4,7,3,1,5,2]=>[5,7,4,2,6,1,3] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,5,1,6,3,4,7]=>[7,4,3,6,1,5,2]=>[5,7,3,2,6,4,1] [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,5,1,6,3,7,4]=>[4,7,3,6,1,5,2]=>[5,7,3,1,6,4,2] [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,5,1,6,7,3,4]=>[4,3,7,6,1,5,2]=>[5,7,2,1,6,4,3] [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2]=>[5,7,3,2,6,1,4] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2]=>[4,7,3,2,6,5,1] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,5,6,1,3,7,4]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,5,6,1,7,3,4]=>[4,3,7,1,6,5,2]=>[4,7,2,1,6,5,3] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,1,3,4]=>[4,3,1,7,6,5,2]=>[3,7,2,1,6,5,4] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,5,7,1,3,4,6]=>[6,4,3,1,7,5,2]=>[4,7,3,2,6,1,5] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,1,3,4,5,7]=>[7,5,4,3,1,6,2]=>[5,7,4,3,2,6,1] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,1,3,4,7,5]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,6,1,3,7,4,5]=>[5,4,7,3,1,6,2]=>[5,7,4,2,1,6,3] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,6,1,7,3,4,5]=>[5,4,3,7,1,6,2]=>[5,7,3,2,1,6,4] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2]=>[4,7,3,2,1,6,5] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,1,3,4,5,6]=>[6,5,4,3,1,7,2]=>[5,7,4,3,2,1,6] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3]=>[6,5,7,4,3,2,1] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,1,2,4,5,7,6]=>[6,7,5,4,2,1,3]=>[6,5,7,4,3,1,2] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,1,2,4,6,5,7]=>[7,5,6,4,2,1,3]=>[6,5,7,4,2,3,1] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>[6,5,7,4,1,3,2] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3]=>[6,5,7,3,4,2,1] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,1,2,5,4,7,6]=>[6,7,4,5,2,1,3]=>[6,5,7,3,4,1,2] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,1,2,5,6,4,7]=>[7,4,6,5,2,1,3]=>[6,5,7,2,4,3,1] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3]=>[6,5,7,1,4,3,2] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,1,2,5,7,4,6]=>[6,4,7,5,2,1,3]=>[6,5,7,2,4,1,3] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3]=>[6,5,7,3,2,4,1] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,1,2,6,4,7,5]=>[5,7,4,6,2,1,3]=>[6,5,7,3,1,4,2] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,1,2,6,7,4,5]=>[5,4,7,6,2,1,3]=>[6,5,7,2,1,4,3] [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,2,7,4,5,6]=>[6,5,4,7,2,1,3]=>[6,5,7,3,2,1,4] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,5,6,7]=>[7,6,5,2,4,1,3]=>[6,4,7,5,3,2,1] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,1,4,2,5,7,6]=>[6,7,5,2,4,1,3]=>[6,4,7,5,3,1,2] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,4,2,6,5,7]=>[7,5,6,2,4,1,3]=>[6,4,7,5,2,3,1] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,1,4,2,6,7,5]=>[5,7,6,2,4,1,3]=>[6,4,7,5,1,3,2] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,1,4,2,7,5,6]=>[6,5,7,2,4,1,3]=>[6,4,7,5,2,1,3] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,1,4,5,2,6,7]=>[7,6,2,5,4,1,3]=>[6,3,7,5,4,2,1] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,1,4,5,2,7,6]=>[6,7,2,5,4,1,3]=>[6,3,7,5,4,1,2] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,1,4,5,6,2,7]=>[7,2,6,5,4,1,3]=>[6,2,7,5,4,3,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3]=>[6,1,7,5,4,3,2] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,1,4,5,7,2,6]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3]=>[6,3,7,5,2,4,1] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,1,4,6,2,7,5]=>[5,7,2,6,4,1,3]=>[6,3,7,5,1,4,2] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,1,4,6,7,2,5]=>[5,2,7,6,4,1,3]=>[6,2,7,5,1,4,3] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,4,7,2,5,6]=>[6,5,2,7,4,1,3]=>[6,3,7,5,2,1,4] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,1,5,2,4,6,7]=>[7,6,4,2,5,1,3]=>[6,4,7,3,5,2,1] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,1,5,2,4,7,6]=>[6,7,4,2,5,1,3]=>[6,4,7,3,5,1,2] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,5,2,6,4,7]=>[7,4,6,2,5,1,3]=>[6,4,7,2,5,3,1] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,1,5,2,6,7,4]=>[4,7,6,2,5,1,3]=>[6,4,7,1,5,3,2] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3]=>[6,3,7,2,5,4,1] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,1,5,6,2,7,4]=>[4,7,2,6,5,1,3]=>[6,3,7,1,5,4,2] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,1,5,6,7,2,4]=>[4,2,7,6,5,1,3]=>[6,2,7,1,5,4,3] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,1,5,7,2,4,6]=>[6,4,2,7,5,1,3]=>[6,3,7,2,5,1,4] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,1,6,2,4,5,7]=>[7,5,4,2,6,1,3]=>[6,4,7,3,2,5,1] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3]=>[6,4,7,3,1,5,2] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,1,6,2,7,4,5]=>[5,4,7,2,6,1,3]=>[6,4,7,2,1,5,3] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3]=>[6,3,7,2,1,5,4] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3]=>[6,4,7,3,2,1,5] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3]=>[5,4,7,6,3,2,1] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,4,1,2,5,7,6]=>[6,7,5,2,1,4,3]=>[5,4,7,6,3,1,2] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,4,1,2,6,5,7]=>[7,5,6,2,1,4,3]=>[5,4,7,6,2,3,1] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,1,2,6,7,5]=>[5,7,6,2,1,4,3]=>[5,4,7,6,1,3,2] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,1,2,7,5,6]=>[6,5,7,2,1,4,3]=>[5,4,7,6,2,1,3] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,1,5,2,6,7]=>[7,6,2,5,1,4,3]=>[5,3,7,6,4,2,1] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,1,5,2,7,6]=>[6,7,2,5,1,4,3]=>[5,3,7,6,4,1,2] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,1,5,6,2,7]=>[7,2,6,5,1,4,3]=>[5,2,7,6,4,3,1] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3]=>[5,1,7,6,4,3,2] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,4,1,5,7,2,6]=>[6,2,7,5,1,4,3]=>[5,2,7,6,4,1,3] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,4,1,6,2,5,7]=>[7,5,2,6,1,4,3]=>[5,3,7,6,2,4,1] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,1,6,2,7,5]=>[5,7,2,6,1,4,3]=>[5,3,7,6,1,4,2] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3]=>[5,3,7,6,2,1,4] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3]=>[4,3,7,6,5,2,1] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,1,2,7,6]=>[6,7,2,1,5,4,3]=>[4,3,7,6,5,1,2] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,1,6,2,7]=>[7,2,6,1,5,4,3]=>[4,2,7,6,5,3,1] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,1,6,7,2]=>[2,7,6,1,5,4,3]=>[4,1,7,6,5,3,2] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3]=>[4,2,7,6,5,1,3] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3]=>[3,2,7,6,5,4,1] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,1,7,2]=>[2,7,1,6,5,4,3]=>[3,1,7,6,5,4,2] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3]=>[3,2,7,6,5,1,4] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,4,6,1,2,5,7]=>[7,5,2,1,6,4,3]=>[4,3,7,6,2,5,1] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,4,6,1,2,7,5]=>[5,7,2,1,6,4,3]=>[4,3,7,6,1,5,2] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,4,6,1,7,2,5]=>[5,2,7,1,6,4,3]=>[4,2,7,6,1,5,3] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,4,6,7,1,2,5]=>[5,2,1,7,6,4,3]=>[3,2,7,6,1,5,4] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,7,1,2,5,6]=>[6,5,2,1,7,4,3]=>[4,3,7,6,2,1,5] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3]=>[5,4,7,3,6,2,1] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,5,1,2,4,7,6]=>[6,7,4,2,1,5,3]=>[5,4,7,3,6,1,2] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,5,1,2,6,4,7]=>[7,4,6,2,1,5,3]=>[5,4,7,2,6,3,1] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,5,1,2,6,7,4]=>[4,7,6,2,1,5,3]=>[5,4,7,1,6,3,2] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3]=>[5,4,7,2,6,1,3] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3]=>[5,3,7,2,6,4,1] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,5,1,6,2,7,4]=>[4,7,2,6,1,5,3]=>[5,3,7,1,6,4,2] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,5,1,6,7,2,4]=>[4,2,7,6,1,5,3]=>[5,2,7,1,6,4,3] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3]=>[5,3,7,2,6,1,4] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3]=>[4,3,7,2,6,5,1] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,5,6,1,2,7,4]=>[4,7,2,1,6,5,3]=>[4,3,7,1,6,5,2] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,5,6,1,7,2,4]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,1,2,4]=>[4,2,1,7,6,5,3]=>[3,2,7,1,6,5,4] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3]=>[4,3,7,2,6,1,5] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3]=>[5,4,7,3,2,6,1] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,6,1,2,4,7,5]=>[5,7,4,2,1,6,3]=>[5,4,7,3,1,6,2] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,6,1,2,7,4,5]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3] [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,6,1,7,2,4,5]=>[5,4,2,7,1,6,3]=>[5,3,7,2,1,6,4] [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3]=>[4,3,7,2,1,6,5] [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3]=>[5,4,7,3,2,1,6] [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4]=>[6,5,4,7,3,2,1] [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,2,3,5,7,6]=>[6,7,5,3,2,1,4]=>[6,5,4,7,3,1,2] [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,1,2,3,6,5,7]=>[7,5,6,3,2,1,4]=>[6,5,4,7,2,3,1] [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,1,2,3,6,7,5]=>[5,7,6,3,2,1,4]=>[6,5,4,7,1,3,2] [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,2,3,7,5,6]=>[6,5,7,3,2,1,4]=>[6,5,4,7,2,1,3] [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,2,5,3,6,7]=>[7,6,3,5,2,1,4]=>[6,5,3,7,4,2,1] [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,2,5,3,7,6]=>[6,7,3,5,2,1,4]=>[6,5,3,7,4,1,2] [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,2,5,6,3,7]=>[7,3,6,5,2,1,4]=>[6,5,2,7,4,3,1] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,2,5,6,7,3]=>[3,7,6,5,2,1,4]=>[6,5,1,7,4,3,2] [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2,5,7,3,6]=>[6,3,7,5,2,1,4]=>[6,5,2,7,4,1,3] [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4]=>[6,5,3,7,2,4,1] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,1,2,6,3,7,5]=>[5,7,3,6,2,1,4]=>[6,5,3,7,1,4,2] [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,1,2,6,7,3,5]=>[5,3,7,6,2,1,4]=>[6,5,2,7,1,4,3] [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4] [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,5,2,3,6,7]=>[7,6,3,2,5,1,4]=>[6,4,3,7,5,2,1] [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4]=>[6,4,3,7,5,1,2] [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4]=>[6,4,2,7,5,3,1] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,1,5,2,6,7,3]=>[3,7,6,2,5,1,4]=>[6,4,1,7,5,3,2] [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4]=>[6,4,2,7,5,1,3] [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,5,6,2,3,7]=>[7,3,2,6,5,1,4]=>[6,3,2,7,5,4,1] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,5,6,2,7,3]=>[3,7,2,6,5,1,4]=>[6,3,1,7,5,4,2] [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,5,6,7,2,3]=>[3,2,7,6,5,1,4]=>[6,2,1,7,5,4,3] [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,5,7,2,3,6]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4] [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4]=>[6,4,3,7,2,5,1] [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,6,2,3,7,5]=>[5,7,3,2,6,1,4]=>[6,4,3,7,1,5,2] [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,6,2,7,3,5]=>[5,3,7,2,6,1,4]=>[6,4,2,7,1,5,3] [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,6,7,2,3,5]=>[5,3,2,7,6,1,4]=>[6,3,2,7,1,5,4] [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4]=>[6,4,3,7,2,1,5] [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4]=>[5,4,3,7,6,2,1] [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,1,2,3,7,6]=>[6,7,3,2,1,5,4]=>[5,4,3,7,6,1,2] [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4]=>[5,4,2,7,6,3,1] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,5,1,2,6,7,3]=>[3,7,6,2,1,5,4]=>[5,4,1,7,6,3,2] [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4]=>[5,4,2,7,6,1,3] [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,5,1,6,2,3,7]=>[7,3,2,6,1,5,4]=>[5,3,2,7,6,4,1] [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4]=>[5,3,1,7,6,4,2] [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,5,1,6,7,2,3]=>[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3] [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4]=>[5,3,2,7,6,1,4] [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1] [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,1,2,7,3]=>[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2] [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,1,7,2,3]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3] [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4] [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,7,1,2,3,6]=>[6,3,2,1,7,5,4]=>[4,3,2,7,6,1,5] [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4]=>[5,4,3,7,2,6,1] [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4]=>[5,4,3,7,1,6,2] [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,6,1,2,7,3,5]=>[5,3,7,2,1,6,4]=>[5,4,2,7,1,6,3] [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4] [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4]=>[4,3,2,7,1,6,5] [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4]=>[5,4,3,7,2,1,6] [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5]=>[6,5,4,3,7,2,1] [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5]=>[6,5,4,3,7,1,2] [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,2,3,6,4,7]=>[7,4,6,3,2,1,5]=>[6,5,4,2,7,3,1] [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,2,3,6,7,4]=>[4,7,6,3,2,1,5]=>[6,5,4,1,7,3,2] [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,1,2,3,7,4,6]=>[6,4,7,3,2,1,5]=>[6,5,4,2,7,1,3] [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5]=>[6,5,3,2,7,4,1] [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,2,6,3,7,4]=>[4,7,3,6,2,1,5]=>[6,5,3,1,7,4,2] [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,2,6,7,3,4]=>[4,3,7,6,2,1,5]=>[6,5,2,1,7,4,3] [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5]=>[6,5,3,2,7,1,4] [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,6,2,3,4,7]=>[7,4,3,2,6,1,5]=>[6,4,3,2,7,5,1] [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,6,2,3,7,4]=>[4,7,3,2,6,1,5]=>[6,4,3,1,7,5,2] [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,6,2,7,3,4]=>[4,3,7,2,6,1,5]=>[6,4,2,1,7,5,3] [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,6,7,2,3,4]=>[4,3,2,7,6,1,5]=>[6,3,2,1,7,5,4] [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5] [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5]=>[5,4,3,2,7,6,1] [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,6,1,2,3,7,4]=>[4,7,3,2,1,6,5]=>[5,4,3,1,7,6,2] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,6,1,2,7,3,4]=>[4,3,7,2,1,6,5]=>[5,4,2,1,7,6,3] [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,6,1,7,2,3,4]=>[4,3,2,7,1,6,5]=>[5,3,2,1,7,6,4] [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5] [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5]=>[5,4,3,2,7,1,6] [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]=>[6,5,4,3,2,7,1] [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1,2,3,4,7,5]=>[5,7,4,3,2,1,6]=>[6,5,4,3,1,7,2] [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1,2,3,7,4,5]=>[5,4,7,3,2,1,6]=>[6,5,4,2,1,7,3] [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1,2,7,3,4,5]=>[5,4,3,7,2,1,6]=>[6,5,3,2,1,7,4] [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6]=>[6,4,3,2,1,7,5] [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6] [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1]=>[8,7,6,5,4,3,1,2] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1]=>[8,7,6,5,4,2,1,3] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,7,8,5,6]=>[6,5,8,7,4,3,2,1]=>[8,7,6,5,2,1,4,3] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,8,5,6,7]=>[7,6,5,8,4,3,2,1]=>[8,7,6,5,3,2,1,4] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,8]=>[8,6,7,4,5,3,2,1]=>[8,7,6,4,5,2,3,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,4]=>[4,8,7,6,5,3,2,1]=>[8,7,6,1,5,4,3,2] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,1]=>[8,7,6,4,3,2,1,5] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[8,7,5,6,3,4,2,1] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,8,3,4,5,6,7]=>[7,6,5,4,3,8,2,1]=>[8,7,5,4,3,2,1,6] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[8,6,7,5,4,2,3,1] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8]=>[8,7,6,4,5,2,3,1]=>[8,6,7,4,5,3,2,1] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,6,7,5,8]=>[8,5,7,6,2,4,3,1]=>[8,5,7,6,2,4,3,1] [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,3,7,2,4,5,6,8]=>[8,6,5,4,2,7,3,1]=>[8,5,7,4,3,2,6,1] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,1]=>[8,6,5,7,3,2,4,1] [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,4,2,5,3,6,7,8]=>[8,7,6,3,5,2,4,1]=>[8,6,4,7,5,3,2,1] [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,2,6,7,8,3,5]=>[5,3,8,7,6,2,4,1]=>[8,6,2,7,1,5,4,3] [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]=>[8,6,4,2,7,5,3,1] [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,5,2,7,3,4,6,8]=>[8,6,4,3,7,2,5,1]=>[8,6,4,3,7,2,5,1] [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,6,2,3,4,7,5,8]=>[8,5,7,4,3,2,6,1]=>[8,6,5,4,2,7,3,1] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1]=>[8,6,5,4,3,2,1,7] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]=>[7,8,6,5,4,3,2,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[7,8,6,5,4,3,1,2] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8]=>[8,7,6,5,3,4,1,2]=>[7,8,5,6,4,3,2,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,5]=>[5,8,7,6,3,4,1,2]=>[7,8,5,6,1,4,3,2] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,5,8,6]=>[6,8,5,7,3,4,1,2]=>[7,8,5,6,3,1,4,2] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,3,7,8,5,6]=>[6,5,8,7,3,4,1,2]=>[7,8,5,6,2,1,4,3] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,5,6,7]=>[7,6,5,8,3,4,1,2]=>[7,8,5,6,3,2,1,4] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,6,3,8,7]=>[7,8,3,6,5,4,1,2]=>[7,8,3,6,5,4,1,2] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,3]=>[3,8,7,6,5,4,1,2]=>[7,8,1,6,5,4,3,2] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,3,6,4,8,7]=>[7,8,4,6,3,5,1,2]=>[7,8,5,3,6,4,1,2] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,3,7,4,8,6]=>[6,8,4,7,3,5,1,2]=>[7,8,5,3,6,1,4,2] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>[7,8,4,3,6,5,1,2] [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,5,7,3,8,4,6]=>[6,4,8,3,7,5,1,2]=>[7,8,4,2,6,1,5,3] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,3,4,5,8,7]=>[7,8,5,4,3,6,1,2]=>[7,8,5,4,3,6,1,2] [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,6,3,4,7,8,5]=>[5,8,7,4,3,6,1,2]=>[7,8,5,4,1,6,3,2] [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,6,3,7,4,8,5]=>[5,8,4,7,3,6,1,2]=>[7,8,5,3,1,6,4,2] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,6,7,8,3,4,5]=>[5,4,3,8,7,6,1,2]=>[7,8,3,2,1,6,5,4] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,3,4,5,6,7]=>[7,6,5,4,3,8,1,2]=>[7,8,5,4,3,2,1,6] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>[6,8,7,5,4,1,3,2]=>[6,8,7,5,4,1,3,2] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,8,7]=>[7,8,5,6,1,4,3,2]=>[5,8,7,6,3,4,1,2] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2]=>[5,8,7,6,1,4,3,2] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8]=>[8,7,6,1,5,4,3,2]=>[4,8,7,6,5,3,2,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,1,8,7]=>[7,8,1,6,5,4,3,2]=>[3,8,7,6,5,4,1,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,8,1,7]=>[7,1,8,6,5,4,3,2]=>[2,8,7,6,5,4,1,3] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,7,1,8,6]=>[6,8,1,7,5,4,3,2]=>[3,8,7,6,5,1,4,2] [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,4,1,5,3,6,7,8]=>[8,7,6,3,5,1,4,2]=>[6,8,4,7,5,3,2,1] [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,4,6,1,7,3,8,5]=>[5,8,3,7,1,6,4,2]=>[5,8,3,7,1,6,4,2] [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>[4,8,3,7,2,6,1,5] [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,5,6,8,1,3,4,7]=>[7,4,3,1,8,6,5,2]=>[4,8,3,2,7,6,1,5] [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,6,7,1,3,4,8,5]=>[5,8,4,3,1,7,6,2]=>[5,8,4,3,1,7,6,2] [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,7,1,3,4,5,6,8]=>[8,6,5,4,3,1,7,2]=>[6,8,5,4,3,2,7,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3]=>[7,6,8,5,4,3,2,1] [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,1,2,4,5,8,6,7]=>[7,6,8,5,4,2,1,3]=>[7,6,8,5,4,2,1,3] [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,1,2,6,7,4,8,5]=>[5,8,4,7,6,2,1,3]=>[7,6,8,3,1,5,4,2] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,4,2,6,5,8,7]=>[7,8,5,6,2,4,1,3]=>[7,5,8,6,3,4,1,2] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,1,4,2,7,5,8,6]=>[6,8,5,7,2,4,1,3]=>[7,5,8,6,3,1,4,2] [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[3,1,4,6,8,2,5,7]=>[7,5,2,8,6,4,1,3]=>[7,3,8,6,2,5,1,4] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,5,2,6,4,8,7]=>[7,8,4,6,2,5,1,3]=>[7,5,8,3,6,4,1,2] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3]=>[7,5,8,3,6,1,4,2] [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,1,6,2,7,4,8,5]=>[5,8,4,7,2,6,1,3]=>[7,5,8,3,1,6,4,2] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,4,1,2,5,6,7,8]=>[8,7,6,5,2,1,4,3]=>[6,5,8,7,4,3,2,1] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,6,5,8,7]=>[7,8,5,6,2,1,4,3]=>[6,5,8,7,3,4,1,2] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>[6,5,8,7,2,1,4,3] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3] [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,8,1,2,6,7]=>[7,6,2,1,8,5,4,3]=>[4,3,8,7,6,2,1,5] [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,4,6,1,2,7,8,5]=>[5,8,7,2,1,6,4,3]=>[5,4,8,7,1,6,3,2] [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,4,6,1,7,8,2,5]=>[5,2,8,7,1,6,4,3]=>[5,2,8,7,1,6,4,3] [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,4,7,1,8,2,5,6]=>[6,5,2,8,1,7,4,3]=>[5,3,8,7,2,1,6,4] [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,4,7,8,1,2,5,6]=>[6,5,2,1,8,7,4,3]=>[4,3,8,7,2,1,6,5] [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,5,1,6,2,4,8,7]=>[7,8,4,2,6,1,5,3]=>[6,4,8,3,7,5,1,2] [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[6,4,8,2,7,1,5,3] [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]=>[4,3,8,2,7,1,6,5] [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,6,1,7,2,8,4,5]=>[5,4,8,2,7,1,6,3]=>[6,4,8,2,1,7,5,3] [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,6,1,7,8,2,4,5]=>[5,4,2,8,7,1,6,3]=>[6,3,8,2,1,7,5,4] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,1,2,3,6,5,8,7]=>[7,8,5,6,3,2,1,4]=>[7,6,5,8,3,4,1,2] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,1,2,3,8,5,6,7]=>[7,6,5,8,3,2,1,4]=>[7,6,5,8,3,2,1,4] [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,1,5,2,6,3,8,7]=>[7,8,3,6,2,5,1,4]=>[7,5,3,8,6,4,1,2] [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[4,1,5,2,6,8,3,7]=>[7,3,8,6,2,5,1,4]=>[7,5,2,8,6,4,1,3] [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,5,2,7,3,8,6]=>[6,8,3,7,2,5,1,4]=>[7,5,3,8,6,1,4,2] [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[4,1,5,2,7,8,3,6]=>[6,3,8,7,2,5,1,4]=>[7,5,2,8,6,1,4,3] [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,1,6,2,7,3,8,5]=>[5,8,3,7,2,6,1,4]=>[7,5,3,8,1,6,4,2] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,1,6,2,8,3,5,7]=>[7,5,3,8,2,6,1,4]=>[7,5,3,8,2,6,1,4] [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,5,1,7,2,8,3,6]=>[6,3,8,2,7,1,5,4]=>[6,4,2,8,7,1,5,3] [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,6,1,2,3,8,7]=>[7,8,3,2,1,6,5,4]=>[5,4,3,8,7,6,1,2] [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[4,5,6,1,7,8,2,3]=>[3,2,8,7,1,6,5,4]=>[5,2,1,8,7,6,4,3] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,1,2,3]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4] [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,5,7,1,2,8,3,6]=>[6,3,8,2,1,7,5,4]=>[5,4,2,8,7,1,6,3] [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>[5,3,2,8,1,7,6,4] [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,6,7,8,1,2,3,5]=>[5,3,2,1,8,7,6,4]=>[4,3,2,8,1,7,6,5] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5]=>[7,6,5,4,8,3,2,1] [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>[7,5,3,1,8,6,4,2] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,1,2,3,4,5,8,7]=>[7,8,5,4,3,2,1,6]=>[7,6,5,4,3,8,1,2] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,1,8,2,3,4,5,7]=>[7,5,4,3,2,8,1,6]=>[7,5,4,3,2,8,1,6] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]=>[7,6,5,4,3,2,8,1] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1,8,2,3,4,5,6]=>[6,5,4,3,2,8,1,7]=>[7,5,4,3,2,1,8,6] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,9,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,9,1]=>[9,7,6,5,4,3,2,1,8] [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,10,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,10,1]=>[10,8,7,6,5,4,3,2,1,9] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,1,2] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,1,2] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,9,7,8]=>[8,7,9,6,5,4,3,2,1]=>[9,8,7,6,5,4,2,1,3] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2]=>[8,9,7,6,5,4,3,2,1] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9]=>[9,8,7,6,5,3,4,1,2]=>[8,9,6,7,5,4,3,2,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,2]=>[9,10,8,7,6,5,4,3,2,1] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10] [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[11,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]
Map
to 321-avoiding permutation (Krattenthaler)
Description
Krattenthaler's bijection to 321-avoiding permutations.
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
Map
inverse
Description
Sends a permutation to its inverse.