Identifier
Mp00025: to 132-avoiding permutationPermutations
Mp00086: Permutations first fundamental transformationPermutations
Mp00060: Permutations Robinson-Schensted tableau shape
Images
=>
Cc0005;cc-rep-0Cc0002;cc-rep-3
[1,0]=>[1]=>[1]=>[1] [1,0,1,0]=>[2,1]=>[2,1]=>[1,1] [1,1,0,0]=>[1,2]=>[1,2]=>[2] [1,0,1,0,1,0]=>[3,2,1]=>[3,1,2]=>[2,1] [1,0,1,1,0,0]=>[2,3,1]=>[3,2,1]=>[1,1,1] [1,1,0,0,1,0]=>[3,1,2]=>[2,3,1]=>[2,1] [1,1,0,1,0,0]=>[2,1,3]=>[2,1,3]=>[2,1] [1,1,1,0,0,0]=>[1,2,3]=>[1,2,3]=>[3] [1,0,1,0,1,0,1,0]=>[4,3,2,1]=>[4,1,2,3]=>[3,1] [1,0,1,0,1,1,0,0]=>[3,4,2,1]=>[4,1,3,2]=>[2,1,1] [1,0,1,1,0,0,1,0]=>[4,2,3,1]=>[4,3,1,2]=>[2,1,1] [1,0,1,1,0,1,0,0]=>[3,2,4,1]=>[4,3,2,1]=>[1,1,1,1] [1,0,1,1,1,0,0,0]=>[2,3,4,1]=>[4,2,3,1]=>[2,1,1] [1,1,0,0,1,0,1,0]=>[4,3,1,2]=>[2,4,1,3]=>[2,2] [1,1,0,0,1,1,0,0]=>[3,4,1,2]=>[2,4,3,1]=>[2,1,1] [1,1,0,1,0,0,1,0]=>[4,2,1,3]=>[3,1,4,2]=>[2,2] [1,1,0,1,0,1,0,0]=>[3,2,1,4]=>[3,1,2,4]=>[3,1] [1,1,0,1,1,0,0,0]=>[2,3,1,4]=>[3,2,1,4]=>[2,1,1] [1,1,1,0,0,0,1,0]=>[4,1,2,3]=>[2,3,4,1]=>[3,1] [1,1,1,0,0,1,0,0]=>[3,1,2,4]=>[2,3,1,4]=>[3,1] [1,1,1,0,1,0,0,0]=>[2,1,3,4]=>[2,1,3,4]=>[3,1] [1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4]=>[4] [1,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1]=>[5,1,2,3,4]=>[4,1] [1,0,1,0,1,0,1,1,0,0]=>[4,5,3,2,1]=>[5,1,2,4,3]=>[3,1,1] [1,0,1,0,1,1,0,0,1,0]=>[5,3,4,2,1]=>[5,1,4,2,3]=>[3,1,1] [1,0,1,0,1,1,0,1,0,0]=>[4,3,5,2,1]=>[5,1,4,3,2]=>[2,1,1,1] [1,0,1,0,1,1,1,0,0,0]=>[3,4,5,2,1]=>[5,1,3,4,2]=>[3,1,1] [1,0,1,1,0,0,1,0,1,0]=>[5,4,2,3,1]=>[5,3,1,2,4]=>[3,1,1] [1,0,1,1,0,0,1,1,0,0]=>[4,5,2,3,1]=>[5,3,1,4,2]=>[2,2,1] [1,0,1,1,0,1,0,0,1,0]=>[5,3,2,4,1]=>[5,4,2,1,3]=>[2,1,1,1] [1,0,1,1,0,1,0,1,0,0]=>[4,3,2,5,1]=>[5,4,2,3,1]=>[2,1,1,1] [1,0,1,1,0,1,1,0,0,0]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[1,1,1,1,1] [1,0,1,1,1,0,0,0,1,0]=>[5,2,3,4,1]=>[5,3,4,1,2]=>[2,2,1] [1,0,1,1,1,0,0,1,0,0]=>[4,2,3,5,1]=>[5,3,4,2,1]=>[2,1,1,1] [1,0,1,1,1,0,1,0,0,0]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,1,1,1] [1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[3,1,1] [1,1,0,0,1,0,1,0,1,0]=>[5,4,3,1,2]=>[2,5,1,3,4]=>[3,2] [1,1,0,0,1,0,1,1,0,0]=>[4,5,3,1,2]=>[2,5,1,4,3]=>[2,2,1] [1,1,0,0,1,1,0,0,1,0]=>[5,3,4,1,2]=>[2,5,4,1,3]=>[2,2,1] [1,1,0,0,1,1,0,1,0,0]=>[4,3,5,1,2]=>[2,5,4,3,1]=>[2,1,1,1] [1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[3,1,1] [1,1,0,1,0,0,1,0,1,0]=>[5,4,2,1,3]=>[3,1,5,2,4]=>[3,2] [1,1,0,1,0,0,1,1,0,0]=>[4,5,2,1,3]=>[3,1,5,4,2]=>[2,2,1] [1,1,0,1,0,1,0,0,1,0]=>[5,3,2,1,4]=>[4,1,2,5,3]=>[3,2] [1,1,0,1,0,1,0,1,0,0]=>[4,3,2,1,5]=>[4,1,2,3,5]=>[4,1] [1,1,0,1,0,1,1,0,0,0]=>[3,4,2,1,5]=>[4,1,3,2,5]=>[3,1,1] [1,1,0,1,1,0,0,0,1,0]=>[5,2,3,1,4]=>[4,3,1,5,2]=>[2,2,1] [1,1,0,1,1,0,0,1,0,0]=>[4,2,3,1,5]=>[4,3,1,2,5]=>[3,1,1] [1,1,0,1,1,0,1,0,0,0]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,1,1,1] [1,1,0,1,1,1,0,0,0,0]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[3,1,1] [1,1,1,0,0,0,1,0,1,0]=>[5,4,1,2,3]=>[2,3,5,1,4]=>[3,2] [1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[3,1,1] [1,1,1,0,0,1,0,0,1,0]=>[5,3,1,2,4]=>[2,4,1,5,3]=>[3,2] [1,1,1,0,0,1,0,1,0,0]=>[4,3,1,2,5]=>[2,4,1,3,5]=>[3,2] [1,1,1,0,0,1,1,0,0,0]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[3,1,1] [1,1,1,0,1,0,0,0,1,0]=>[5,2,1,3,4]=>[3,1,4,5,2]=>[3,2] [1,1,1,0,1,0,0,1,0,0]=>[4,2,1,3,5]=>[3,1,4,2,5]=>[3,2] [1,1,1,0,1,0,1,0,0,0]=>[3,2,1,4,5]=>[3,1,2,4,5]=>[4,1] [1,1,1,0,1,1,0,0,0,0]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[3,1,1] [1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[4,1] [1,1,1,1,0,0,0,1,0,0]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[4,1] [1,1,1,1,0,0,1,0,0,0]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[4,1] [1,1,1,1,0,1,0,0,0,0]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[4,1] [1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5] [1,0,1,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,2,1]=>[6,1,2,3,4,5]=>[5,1] [1,0,1,0,1,0,1,0,1,1,0,0]=>[5,6,4,3,2,1]=>[6,1,2,3,5,4]=>[4,1,1] [1,0,1,0,1,0,1,1,0,0,1,0]=>[6,4,5,3,2,1]=>[6,1,2,5,3,4]=>[4,1,1] [1,0,1,0,1,0,1,1,0,1,0,0]=>[5,4,6,3,2,1]=>[6,1,2,5,4,3]=>[3,1,1,1] [1,0,1,0,1,0,1,1,1,0,0,0]=>[4,5,6,3,2,1]=>[6,1,2,4,5,3]=>[4,1,1] [1,0,1,0,1,1,0,0,1,0,1,0]=>[6,5,3,4,2,1]=>[6,1,4,2,3,5]=>[4,1,1] [1,0,1,0,1,1,0,0,1,1,0,0]=>[5,6,3,4,2,1]=>[6,1,4,2,5,3]=>[3,2,1] [1,0,1,0,1,1,0,1,0,0,1,0]=>[6,4,3,5,2,1]=>[6,1,5,3,2,4]=>[3,1,1,1] [1,0,1,0,1,1,0,1,0,1,0,0]=>[5,4,3,6,2,1]=>[6,1,5,3,4,2]=>[3,1,1,1] [1,0,1,0,1,1,0,1,1,0,0,0]=>[4,5,3,6,2,1]=>[6,1,5,4,3,2]=>[2,1,1,1,1] [1,0,1,0,1,1,1,0,0,0,1,0]=>[6,3,4,5,2,1]=>[6,1,4,5,2,3]=>[3,2,1] [1,0,1,0,1,1,1,0,0,1,0,0]=>[5,3,4,6,2,1]=>[6,1,4,5,3,2]=>[3,1,1,1] [1,0,1,0,1,1,1,0,1,0,0,0]=>[4,3,5,6,2,1]=>[6,1,4,3,5,2]=>[3,1,1,1] [1,0,1,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,2,1]=>[6,1,3,4,5,2]=>[4,1,1] [1,0,1,1,0,0,1,0,1,0,1,0]=>[6,5,4,2,3,1]=>[6,3,1,2,4,5]=>[4,1,1] [1,0,1,1,0,0,1,0,1,1,0,0]=>[5,6,4,2,3,1]=>[6,3,1,2,5,4]=>[3,2,1] [1,0,1,1,0,0,1,1,0,0,1,0]=>[6,4,5,2,3,1]=>[6,3,1,5,2,4]=>[3,2,1] [1,0,1,1,0,0,1,1,0,1,0,0]=>[5,4,6,2,3,1]=>[6,3,1,5,4,2]=>[2,2,1,1] [1,0,1,1,0,0,1,1,1,0,0,0]=>[4,5,6,2,3,1]=>[6,3,1,4,5,2]=>[3,2,1] [1,0,1,1,0,1,0,0,1,0,1,0]=>[6,5,3,2,4,1]=>[6,4,2,1,3,5]=>[3,1,1,1] [1,0,1,1,0,1,0,0,1,1,0,0]=>[5,6,3,2,4,1]=>[6,4,2,1,5,3]=>[2,2,1,1] [1,0,1,1,0,1,0,1,0,0,1,0]=>[6,4,3,2,5,1]=>[6,5,2,3,1,4]=>[3,1,1,1] [1,0,1,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,1]=>[6,5,2,3,4,1]=>[3,1,1,1] [1,0,1,1,0,1,0,1,1,0,0,0]=>[4,5,3,2,6,1]=>[6,5,2,4,3,1]=>[2,1,1,1,1] [1,0,1,1,0,1,1,0,0,0,1,0]=>[6,3,4,2,5,1]=>[6,5,4,2,1,3]=>[2,1,1,1,1] [1,0,1,1,0,1,1,0,0,1,0,0]=>[5,3,4,2,6,1]=>[6,5,4,2,3,1]=>[2,1,1,1,1] [1,0,1,1,0,1,1,0,1,0,0,0]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>[1,1,1,1,1,1] [1,0,1,1,0,1,1,1,0,0,0,0]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1]=>[2,1,1,1,1] [1,0,1,1,1,0,0,0,1,0,1,0]=>[6,5,2,3,4,1]=>[6,3,4,1,2,5]=>[3,2,1] [1,0,1,1,1,0,0,0,1,1,0,0]=>[5,6,2,3,4,1]=>[6,3,4,1,5,2]=>[3,2,1] [1,0,1,1,1,0,0,1,0,0,1,0]=>[6,4,2,3,5,1]=>[6,3,5,2,1,4]=>[2,2,1,1] [1,0,1,1,1,0,0,1,0,1,0,0]=>[5,4,2,3,6,1]=>[6,3,5,2,4,1]=>[2,2,1,1] [1,0,1,1,1,0,0,1,1,0,0,0]=>[4,5,2,3,6,1]=>[6,3,5,4,2,1]=>[2,1,1,1,1] [1,0,1,1,1,0,1,0,0,0,1,0]=>[6,3,2,4,5,1]=>[6,4,2,5,1,3]=>[2,2,1,1] [1,0,1,1,1,0,1,0,0,1,0,0]=>[5,3,2,4,6,1]=>[6,4,2,5,3,1]=>[2,2,1,1] [1,0,1,1,1,0,1,0,1,0,0,0]=>[4,3,2,5,6,1]=>[6,4,2,3,5,1]=>[3,1,1,1] [1,0,1,1,1,0,1,1,0,0,0,0]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1]=>[2,1,1,1,1] [1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,3,4,5,1]=>[6,3,4,5,1,2]=>[3,2,1] [1,0,1,1,1,1,0,0,0,1,0,0]=>[5,2,3,4,6,1]=>[6,3,4,5,2,1]=>[3,1,1,1] [1,0,1,1,1,1,0,0,1,0,0,0]=>[4,2,3,5,6,1]=>[6,3,4,2,5,1]=>[3,1,1,1] [1,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,4,5,6,1]=>[6,3,2,4,5,1]=>[3,1,1,1] [1,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[4,1,1] [1,1,0,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,1,2]=>[2,6,1,3,4,5]=>[4,2] [1,1,0,0,1,0,1,0,1,1,0,0]=>[5,6,4,3,1,2]=>[2,6,1,3,5,4]=>[3,2,1] [1,1,0,0,1,0,1,1,0,0,1,0]=>[6,4,5,3,1,2]=>[2,6,1,5,3,4]=>[3,2,1] [1,1,0,0,1,0,1,1,0,1,0,0]=>[5,4,6,3,1,2]=>[2,6,1,5,4,3]=>[2,2,1,1] [1,1,0,0,1,0,1,1,1,0,0,0]=>[4,5,6,3,1,2]=>[2,6,1,4,5,3]=>[3,2,1] [1,1,0,0,1,1,0,0,1,0,1,0]=>[6,5,3,4,1,2]=>[2,6,4,1,3,5]=>[3,2,1] [1,1,0,0,1,1,0,0,1,1,0,0]=>[5,6,3,4,1,2]=>[2,6,4,1,5,3]=>[3,2,1] [1,1,0,0,1,1,0,1,0,0,1,0]=>[6,4,3,5,1,2]=>[2,6,5,3,1,4]=>[3,1,1,1] [1,1,0,0,1,1,0,1,0,1,0,0]=>[5,4,3,6,1,2]=>[2,6,5,3,4,1]=>[3,1,1,1] [1,1,0,0,1,1,0,1,1,0,0,0]=>[4,5,3,6,1,2]=>[2,6,5,4,3,1]=>[2,1,1,1,1] [1,1,0,0,1,1,1,0,0,0,1,0]=>[6,3,4,5,1,2]=>[2,6,4,5,1,3]=>[3,2,1] [1,1,0,0,1,1,1,0,0,1,0,0]=>[5,3,4,6,1,2]=>[2,6,4,5,3,1]=>[3,1,1,1] [1,1,0,0,1,1,1,0,1,0,0,0]=>[4,3,5,6,1,2]=>[2,6,4,3,5,1]=>[3,1,1,1] [1,1,0,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[4,1,1] [1,1,0,1,0,0,1,0,1,0,1,0]=>[6,5,4,2,1,3]=>[3,1,6,2,4,5]=>[4,2] [1,1,0,1,0,0,1,0,1,1,0,0]=>[5,6,4,2,1,3]=>[3,1,6,2,5,4]=>[3,2,1] [1,1,0,1,0,0,1,1,0,0,1,0]=>[6,4,5,2,1,3]=>[3,1,6,5,2,4]=>[3,2,1] [1,1,0,1,0,0,1,1,0,1,0,0]=>[5,4,6,2,1,3]=>[3,1,6,5,4,2]=>[2,2,1,1] [1,1,0,1,0,0,1,1,1,0,0,0]=>[4,5,6,2,1,3]=>[3,1,6,4,5,2]=>[3,2,1] [1,1,0,1,0,1,0,0,1,0,1,0]=>[6,5,3,2,1,4]=>[4,1,2,6,3,5]=>[4,2] [1,1,0,1,0,1,0,0,1,1,0,0]=>[5,6,3,2,1,4]=>[4,1,2,6,5,3]=>[3,2,1] [1,1,0,1,0,1,0,1,0,0,1,0]=>[6,4,3,2,1,5]=>[5,1,2,3,6,4]=>[4,2] [1,1,0,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,1,6]=>[5,1,2,3,4,6]=>[5,1] [1,1,0,1,0,1,0,1,1,0,0,0]=>[4,5,3,2,1,6]=>[5,1,2,4,3,6]=>[4,1,1] [1,1,0,1,0,1,1,0,0,0,1,0]=>[6,3,4,2,1,5]=>[5,1,4,2,6,3]=>[3,2,1] [1,1,0,1,0,1,1,0,0,1,0,0]=>[5,3,4,2,1,6]=>[5,1,4,2,3,6]=>[4,1,1] [1,1,0,1,0,1,1,0,1,0,0,0]=>[4,3,5,2,1,6]=>[5,1,4,3,2,6]=>[3,1,1,1] [1,1,0,1,0,1,1,1,0,0,0,0]=>[3,4,5,2,1,6]=>[5,1,3,4,2,6]=>[4,1,1] [1,1,0,1,1,0,0,0,1,0,1,0]=>[6,5,2,3,1,4]=>[4,3,1,6,2,5]=>[3,2,1] [1,1,0,1,1,0,0,0,1,1,0,0]=>[5,6,2,3,1,4]=>[4,3,1,6,5,2]=>[2,2,2] [1,1,0,1,1,0,0,1,0,0,1,0]=>[6,4,2,3,1,5]=>[5,3,1,2,6,4]=>[3,2,1] [1,1,0,1,1,0,0,1,0,1,0,0]=>[5,4,2,3,1,6]=>[5,3,1,2,4,6]=>[4,1,1] [1,1,0,1,1,0,0,1,1,0,0,0]=>[4,5,2,3,1,6]=>[5,3,1,4,2,6]=>[3,2,1] [1,1,0,1,1,0,1,0,0,0,1,0]=>[6,3,2,4,1,5]=>[5,4,2,1,6,3]=>[2,2,1,1] [1,1,0,1,1,0,1,0,0,1,0,0]=>[5,3,2,4,1,6]=>[5,4,2,1,3,6]=>[3,1,1,1] [1,1,0,1,1,0,1,0,1,0,0,0]=>[4,3,2,5,1,6]=>[5,4,2,3,1,6]=>[3,1,1,1] [1,1,0,1,1,0,1,1,0,0,0,0]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6]=>[2,1,1,1,1] [1,1,0,1,1,1,0,0,0,0,1,0]=>[6,2,3,4,1,5]=>[5,3,4,1,6,2]=>[3,2,1] [1,1,0,1,1,1,0,0,0,1,0,0]=>[5,2,3,4,1,6]=>[5,3,4,1,2,6]=>[3,2,1] [1,1,0,1,1,1,0,0,1,0,0,0]=>[4,2,3,5,1,6]=>[5,3,4,2,1,6]=>[3,1,1,1] [1,1,0,1,1,1,0,1,0,0,0,0]=>[3,2,4,5,1,6]=>[5,3,2,4,1,6]=>[3,1,1,1] [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[4,1,1] [1,1,1,0,0,0,1,0,1,0,1,0]=>[6,5,4,1,2,3]=>[2,3,6,1,4,5]=>[4,2] [1,1,1,0,0,0,1,0,1,1,0,0]=>[5,6,4,1,2,3]=>[2,3,6,1,5,4]=>[3,2,1] [1,1,1,0,0,0,1,1,0,0,1,0]=>[6,4,5,1,2,3]=>[2,3,6,5,1,4]=>[3,2,1] [1,1,1,0,0,0,1,1,0,1,0,0]=>[5,4,6,1,2,3]=>[2,3,6,5,4,1]=>[3,1,1,1] [1,1,1,0,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[4,1,1] [1,1,1,0,0,1,0,0,1,0,1,0]=>[6,5,3,1,2,4]=>[2,4,1,6,3,5]=>[3,3] [1,1,1,0,0,1,0,0,1,1,0,0]=>[5,6,3,1,2,4]=>[2,4,1,6,5,3]=>[3,2,1] [1,1,1,0,0,1,0,1,0,0,1,0]=>[6,4,3,1,2,5]=>[2,5,1,3,6,4]=>[3,3] [1,1,1,0,0,1,0,1,0,1,0,0]=>[5,4,3,1,2,6]=>[2,5,1,3,4,6]=>[4,2] [1,1,1,0,0,1,0,1,1,0,0,0]=>[4,5,3,1,2,6]=>[2,5,1,4,3,6]=>[3,2,1] [1,1,1,0,0,1,1,0,0,0,1,0]=>[6,3,4,1,2,5]=>[2,5,4,1,6,3]=>[3,2,1] [1,1,1,0,0,1,1,0,0,1,0,0]=>[5,3,4,1,2,6]=>[2,5,4,1,3,6]=>[3,2,1] [1,1,1,0,0,1,1,0,1,0,0,0]=>[4,3,5,1,2,6]=>[2,5,4,3,1,6]=>[3,1,1,1] [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[4,1,1] [1,1,1,0,1,0,0,0,1,0,1,0]=>[6,5,2,1,3,4]=>[3,1,4,6,2,5]=>[3,3] [1,1,1,0,1,0,0,0,1,1,0,0]=>[5,6,2,1,3,4]=>[3,1,4,6,5,2]=>[3,2,1] [1,1,1,0,1,0,0,1,0,0,1,0]=>[6,4,2,1,3,5]=>[3,1,5,2,6,4]=>[3,3] [1,1,1,0,1,0,0,1,0,1,0,0]=>[5,4,2,1,3,6]=>[3,1,5,2,4,6]=>[4,2] [1,1,1,0,1,0,0,1,1,0,0,0]=>[4,5,2,1,3,6]=>[3,1,5,4,2,6]=>[3,2,1] [1,1,1,0,1,0,1,0,0,0,1,0]=>[6,3,2,1,4,5]=>[4,1,2,5,6,3]=>[4,2] [1,1,1,0,1,0,1,0,0,1,0,0]=>[5,3,2,1,4,6]=>[4,1,2,5,3,6]=>[4,2] [1,1,1,0,1,0,1,0,1,0,0,0]=>[4,3,2,1,5,6]=>[4,1,2,3,5,6]=>[5,1] [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,2,1,5,6]=>[4,1,3,2,5,6]=>[4,1,1] [1,1,1,0,1,1,0,0,0,0,1,0]=>[6,2,3,1,4,5]=>[4,3,1,5,6,2]=>[3,2,1] [1,1,1,0,1,1,0,0,0,1,0,0]=>[5,2,3,1,4,6]=>[4,3,1,5,2,6]=>[3,2,1] [1,1,1,0,1,1,0,0,1,0,0,0]=>[4,2,3,1,5,6]=>[4,3,1,2,5,6]=>[4,1,1] [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,4,1,5,6]=>[4,3,2,1,5,6]=>[3,1,1,1] [1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[4,1,1] [1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,2,3,4]=>[2,3,4,6,1,5]=>[4,2] [1,1,1,1,0,0,0,0,1,1,0,0]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[4,1,1] [1,1,1,1,0,0,0,1,0,0,1,0]=>[6,4,1,2,3,5]=>[2,3,5,1,6,4]=>[4,2] [1,1,1,1,0,0,0,1,0,1,0,0]=>[5,4,1,2,3,6]=>[2,3,5,1,4,6]=>[4,2] [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[4,1,1] [1,1,1,1,0,0,1,0,0,0,1,0]=>[6,3,1,2,4,5]=>[2,4,1,5,6,3]=>[4,2] [1,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,1,2,4,6]=>[2,4,1,5,3,6]=>[4,2] [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,3,1,2,5,6]=>[2,4,1,3,5,6]=>[4,2] [1,1,1,1,0,0,1,1,0,0,0,0]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[4,1,1] [1,1,1,1,0,1,0,0,0,0,1,0]=>[6,2,1,3,4,5]=>[3,1,4,5,6,2]=>[4,2] [1,1,1,1,0,1,0,0,0,1,0,0]=>[5,2,1,3,4,6]=>[3,1,4,5,2,6]=>[4,2] [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]=>[4,2] [1,1,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]=>[5,1] [1,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[4,1,1] [1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[5,1] [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[5,1] [1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[5,1] [1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[5,1] [1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[5,1] [1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6] [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,3,2,1]=>[7,1,2,3,4,5,6]=>[6,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,3,2,1]=>[7,1,2,3,4,6,5]=>[5,1,1] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,3,2,1]=>[7,1,2,3,6,4,5]=>[5,1,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,3,2,1]=>[7,1,2,3,6,5,4]=>[4,1,1,1] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,3,2,1]=>[7,1,2,3,5,6,4]=>[5,1,1] [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,3,2,1]=>[7,1,2,5,3,4,6]=>[5,1,1] [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,3,2,1]=>[7,1,2,5,3,6,4]=>[4,2,1] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,3,2,1]=>[7,1,2,6,4,3,5]=>[4,1,1,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,3,2,1]=>[7,1,2,6,4,5,3]=>[4,1,1,1] [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,3,2,1]=>[7,1,2,6,5,4,3]=>[3,1,1,1,1] [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,3,2,1]=>[7,1,2,5,6,3,4]=>[4,2,1] [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,3,2,1]=>[7,1,2,5,6,4,3]=>[4,1,1,1] [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,3,2,1]=>[7,1,2,5,4,6,3]=>[4,1,1,1] [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,3,2,1]=>[7,1,2,4,5,6,3]=>[5,1,1] [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,4,2,1]=>[7,1,4,2,3,5,6]=>[5,1,1] [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,4,2,1]=>[7,1,4,2,3,6,5]=>[4,2,1] [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,4,2,1]=>[7,1,4,2,6,3,5]=>[4,2,1] [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,4,2,1]=>[7,1,4,2,6,5,3]=>[3,2,1,1] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,4,2,1]=>[7,1,4,2,5,6,3]=>[4,2,1] [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,5,2,1]=>[7,1,5,3,2,4,6]=>[4,1,1,1] [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,5,2,1]=>[7,1,5,3,2,6,4]=>[3,2,1,1] [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,6,2,1]=>[7,1,6,3,4,2,5]=>[4,1,1,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,7,2,1]=>[7,1,6,3,4,5,2]=>[4,1,1,1] [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,7,2,1]=>[7,1,6,3,5,4,2]=>[3,1,1,1,1] [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,6,2,1]=>[7,1,6,5,3,2,4]=>[3,1,1,1,1] [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,7,2,1]=>[7,1,6,5,3,4,2]=>[3,1,1,1,1] [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,7,2,1]=>[7,1,6,5,4,3,2]=>[2,1,1,1,1,1] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,7,2,1]=>[7,1,6,4,5,3,2]=>[3,1,1,1,1] [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,5,2,1]=>[7,1,4,5,2,3,6]=>[4,2,1] [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,5,2,1]=>[7,1,4,5,2,6,3]=>[4,2,1] [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,6,2,1]=>[7,1,4,6,3,2,5]=>[3,2,1,1] [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,7,2,1]=>[7,1,4,6,3,5,2]=>[3,2,1,1] [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,7,2,1]=>[7,1,4,6,5,3,2]=>[3,1,1,1,1] [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,6,2,1]=>[7,1,5,3,6,2,4]=>[3,2,1,1] [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,7,2,1]=>[7,1,5,3,6,4,2]=>[3,2,1,1] [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,7,2,1]=>[7,1,5,3,4,6,2]=>[4,1,1,1] [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,7,2,1]=>[7,1,5,4,3,6,2]=>[3,1,1,1,1] [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,6,2,1]=>[7,1,4,5,6,2,3]=>[4,2,1] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,7,2,1]=>[7,1,4,5,6,3,2]=>[4,1,1,1] [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,7,2,1]=>[7,1,4,5,3,6,2]=>[4,1,1,1] [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,7,2,1]=>[7,1,4,3,5,6,2]=>[4,1,1,1] [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,7,2,1]=>[7,1,3,4,5,6,2]=>[5,1,1] [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,2,3,1]=>[7,3,1,2,4,5,6]=>[5,1,1] [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,2,3,1]=>[7,3,1,2,4,6,5]=>[4,2,1] [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,2,3,1]=>[7,3,1,2,6,4,5]=>[4,2,1] [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,2,3,1]=>[7,3,1,2,6,5,4]=>[3,2,1,1] [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,2,3,1]=>[7,3,1,2,5,6,4]=>[4,2,1] [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,2,3,1]=>[7,3,1,5,2,4,6]=>[4,2,1] [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,2,3,1]=>[7,3,1,5,2,6,4]=>[3,3,1] [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,2,3,1]=>[7,3,1,6,4,2,5]=>[3,2,1,1] [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,2,3,1]=>[7,3,1,6,4,5,2]=>[3,2,1,1] [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,2,3,1]=>[7,3,1,6,5,4,2]=>[2,2,1,1,1] [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,2,3,1]=>[7,3,1,5,6,2,4]=>[3,3,1] [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,2,3,1]=>[7,3,1,5,6,4,2]=>[3,2,1,1] [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,2,3,1]=>[7,3,1,5,4,6,2]=>[3,2,1,1] [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,2,3,1]=>[7,3,1,4,5,6,2]=>[4,2,1] [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,2,4,1]=>[7,4,2,1,3,5,6]=>[4,1,1,1] [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,2,4,1]=>[7,4,2,1,3,6,5]=>[3,2,1,1] [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,2,4,1]=>[7,4,2,1,6,3,5]=>[3,2,1,1] [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,2,4,1]=>[7,4,2,1,6,5,3]=>[2,2,2,1] [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,2,4,1]=>[7,4,2,1,5,6,3]=>[3,2,1,1] [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,2,5,1]=>[7,5,2,3,1,4,6]=>[4,1,1,1] [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,2,5,1]=>[7,5,2,3,1,6,4]=>[3,2,1,1] [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,2,6,1]=>[7,6,2,3,4,1,5]=>[4,1,1,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,7,1]=>[7,6,2,3,4,5,1]=>[4,1,1,1] [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,2,7,1]=>[7,6,2,3,5,4,1]=>[3,1,1,1,1] [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,2,6,1]=>[7,6,2,5,3,1,4]=>[3,1,1,1,1] [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,2,7,1]=>[7,6,2,5,3,4,1]=>[3,1,1,1,1] [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,2,7,1]=>[7,6,2,5,4,3,1]=>[2,1,1,1,1,1] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,2,7,1]=>[7,6,2,4,5,3,1]=>[3,1,1,1,1] [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,2,5,1]=>[7,5,4,2,1,3,6]=>[3,1,1,1,1] [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,2,5,1]=>[7,5,4,2,1,6,3]=>[2,2,1,1,1] [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,2,6,1]=>[7,6,4,2,3,1,5]=>[3,1,1,1,1] [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,2,7,1]=>[7,6,4,2,3,5,1]=>[3,1,1,1,1] [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,2,7,1]=>[7,6,4,2,5,3,1]=>[2,2,1,1,1] [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,2,6,1]=>[7,6,5,3,2,1,4]=>[2,1,1,1,1,1] [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,2,7,1]=>[7,6,5,3,2,4,1]=>[2,1,1,1,1,1] [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,2,7,1]=>[7,6,5,3,4,2,1]=>[2,1,1,1,1,1] [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1] [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,2,6,1]=>[7,6,4,5,2,1,3]=>[2,2,1,1,1] [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,2,7,1]=>[7,6,4,5,2,3,1]=>[2,2,1,1,1] [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,2,7,1]=>[7,6,4,5,3,2,1]=>[2,1,1,1,1,1] [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1]=>[2,1,1,1,1,1] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1]=>[3,1,1,1,1] [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,3,4,1]=>[7,3,4,1,2,5,6]=>[4,2,1] [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,3,4,1]=>[7,3,4,1,2,6,5]=>[3,3,1] [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,3,4,1]=>[7,3,4,1,6,2,5]=>[3,3,1] [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,3,4,1]=>[7,3,4,1,6,5,2]=>[3,2,1,1] [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,3,4,1]=>[7,3,4,1,5,6,2]=>[4,2,1] [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,3,5,1]=>[7,3,5,2,1,4,6]=>[3,2,1,1] [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,3,5,1]=>[7,3,5,2,1,6,4]=>[3,2,1,1] [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,3,6,1]=>[7,3,6,2,4,1,5]=>[3,2,1,1] [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,3,7,1]=>[7,3,6,2,4,5,1]=>[3,2,1,1] [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,3,7,1]=>[7,3,6,2,5,4,1]=>[2,2,1,1,1] [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,3,6,1]=>[7,3,6,5,2,1,4]=>[2,2,1,1,1] [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,3,7,1]=>[7,3,6,5,2,4,1]=>[2,2,1,1,1] [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,3,7,1]=>[7,3,6,5,4,2,1]=>[2,1,1,1,1,1] [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,3,7,1]=>[7,3,6,4,5,2,1]=>[3,1,1,1,1] [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,4,5,1]=>[7,4,2,5,1,3,6]=>[3,2,1,1] [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,4,5,1]=>[7,4,2,5,1,6,3]=>[3,2,1,1] [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,4,6,1]=>[7,4,2,6,3,1,5]=>[3,2,1,1] [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,4,7,1]=>[7,4,2,6,3,5,1]=>[3,2,1,1] [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,4,7,1]=>[7,4,2,6,5,3,1]=>[2,2,1,1,1] [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,5,6,1]=>[7,5,2,3,6,1,4]=>[3,2,1,1] [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,5,7,1]=>[7,5,2,3,6,4,1]=>[3,2,1,1] [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,6,7,1]=>[7,5,2,3,4,6,1]=>[4,1,1,1] [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,6,7,1]=>[7,5,2,4,3,6,1]=>[3,1,1,1,1] [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,5,6,1]=>[7,5,4,2,6,1,3]=>[2,2,1,1,1] [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,5,7,1]=>[7,5,4,2,6,3,1]=>[2,2,1,1,1] [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,6,7,1]=>[7,5,4,2,3,6,1]=>[3,1,1,1,1] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1]=>[2,1,1,1,1,1] [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1]=>[3,1,1,1,1] [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,4,5,1]=>[7,3,4,5,1,2,6]=>[4,2,1] [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,4,5,1]=>[7,3,4,5,1,6,2]=>[4,2,1] [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,4,6,1]=>[7,3,4,6,2,1,5]=>[3,2,1,1] [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,4,7,1]=>[7,3,4,6,2,5,1]=>[3,2,1,1] [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,4,7,1]=>[7,3,4,6,5,2,1]=>[3,1,1,1,1] [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,5,6,1]=>[7,3,5,2,6,1,4]=>[3,2,1,1] [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,5,7,1]=>[7,3,5,2,6,4,1]=>[3,2,1,1] [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,6,7,1]=>[7,3,5,2,4,6,1]=>[3,2,1,1] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,6,7,1]=>[7,3,5,4,2,6,1]=>[3,1,1,1,1] [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,5,6,1]=>[7,4,2,5,6,1,3]=>[3,2,1,1] [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,5,7,1]=>[7,4,2,5,6,3,1]=>[3,2,1,1] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,6,7,1]=>[7,4,2,5,3,6,1]=>[3,2,1,1] [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,6,7,1]=>[7,4,2,3,5,6,1]=>[4,1,1,1] [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1]=>[3,1,1,1,1] [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,5,6,1]=>[7,3,4,5,6,1,2]=>[4,2,1] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,5,7,1]=>[7,3,4,5,6,2,1]=>[4,1,1,1] [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,6,7,1]=>[7,3,4,5,2,6,1]=>[4,1,1,1] [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,6,7,1]=>[7,3,4,2,5,6,1]=>[4,1,1,1] [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,6,7,1]=>[7,3,2,4,5,6,1]=>[4,1,1,1] [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[5,1,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,3,1,2]=>[2,7,1,3,4,5,6]=>[5,2] [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,3,1,2]=>[2,7,1,3,4,6,5]=>[4,2,1] [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,3,1,2]=>[2,7,1,3,6,4,5]=>[4,2,1] [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,3,1,2]=>[2,7,1,3,6,5,4]=>[3,2,1,1] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,3,1,2]=>[2,7,1,3,5,6,4]=>[4,2,1] [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,3,1,2]=>[2,7,1,5,3,4,6]=>[4,2,1] [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,3,1,2]=>[2,7,1,5,3,6,4]=>[3,3,1] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,3,1,2]=>[2,7,1,6,4,3,5]=>[3,2,1,1] [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,3,1,2]=>[2,7,1,6,4,5,3]=>[3,2,1,1] [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,3,1,2]=>[2,7,1,6,5,4,3]=>[2,2,1,1,1] [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,3,1,2]=>[2,7,1,5,6,3,4]=>[3,3,1] [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,3,1,2]=>[2,7,1,5,6,4,3]=>[3,2,1,1] [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,3,1,2]=>[2,7,1,5,4,6,3]=>[3,2,1,1] [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,3,1,2]=>[2,7,1,4,5,6,3]=>[4,2,1] [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,4,1,2]=>[2,7,4,1,3,5,6]=>[4,2,1] [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,4,1,2]=>[2,7,4,1,3,6,5]=>[3,3,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,4,1,2]=>[2,7,4,1,6,3,5]=>[3,3,1] [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,4,1,2]=>[2,7,4,1,6,5,3]=>[3,2,1,1] [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,4,1,2]=>[2,7,4,1,5,6,3]=>[4,2,1] [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,5,1,2]=>[2,7,5,3,1,4,6]=>[4,1,1,1] [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,5,1,2]=>[2,7,5,3,1,6,4]=>[3,2,1,1] [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,6,1,2]=>[2,7,6,3,4,1,5]=>[4,1,1,1] [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,7,1,2]=>[2,7,6,3,4,5,1]=>[4,1,1,1] [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,7,1,2]=>[2,7,6,3,5,4,1]=>[3,1,1,1,1] [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,6,1,2]=>[2,7,6,5,3,1,4]=>[3,1,1,1,1] [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,7,1,2]=>[2,7,6,5,3,4,1]=>[3,1,1,1,1] [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,7,1,2]=>[2,7,6,5,4,3,1]=>[2,1,1,1,1,1] [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,7,1,2]=>[2,7,6,4,5,3,1]=>[3,1,1,1,1] [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,5,1,2]=>[2,7,4,5,1,3,6]=>[4,2,1] [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,5,1,2]=>[2,7,4,5,1,6,3]=>[4,2,1] [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,6,1,2]=>[2,7,4,6,3,1,5]=>[3,2,1,1] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,7,1,2]=>[2,7,4,6,3,5,1]=>[3,2,1,1] [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,7,1,2]=>[2,7,4,6,5,3,1]=>[3,1,1,1,1] [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,6,1,2]=>[2,7,5,3,6,1,4]=>[3,2,1,1] [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,7,1,2]=>[2,7,5,3,6,4,1]=>[3,2,1,1] [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,7,1,2]=>[2,7,5,3,4,6,1]=>[4,1,1,1] [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,7,1,2]=>[2,7,5,4,3,6,1]=>[3,1,1,1,1] [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,6,1,2]=>[2,7,4,5,6,1,3]=>[4,2,1] [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,7,1,2]=>[2,7,4,5,6,3,1]=>[4,1,1,1] [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,7,1,2]=>[2,7,4,5,3,6,1]=>[4,1,1,1] [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,7,1,2]=>[2,7,4,3,5,6,1]=>[4,1,1,1] [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,7,1,2]=>[2,7,3,4,5,6,1]=>[5,1,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,2,1,3]=>[3,1,7,2,4,5,6]=>[5,2] [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,2,1,3]=>[3,1,7,2,4,6,5]=>[4,2,1] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,2,1,3]=>[3,1,7,2,6,4,5]=>[4,2,1] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,2,1,3]=>[3,1,7,2,6,5,4]=>[3,2,1,1] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,2,1,3]=>[3,1,7,2,5,6,4]=>[4,2,1] [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,2,1,3]=>[3,1,7,5,2,4,6]=>[4,2,1] [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,2,1,3]=>[3,1,7,5,2,6,4]=>[3,3,1] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,2,1,3]=>[3,1,7,6,4,2,5]=>[3,2,1,1] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,2,1,3]=>[3,1,7,6,4,5,2]=>[3,2,1,1] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,2,1,3]=>[3,1,7,6,5,4,2]=>[2,2,1,1,1] [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,2,1,3]=>[3,1,7,5,6,2,4]=>[3,3,1] [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,2,1,3]=>[3,1,7,5,6,4,2]=>[3,2,1,1] [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,2,1,3]=>[3,1,7,5,4,6,2]=>[3,2,1,1] [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,2,1,3]=>[3,1,7,4,5,6,2]=>[4,2,1] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,2,1,4]=>[4,1,2,7,3,5,6]=>[5,2] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,2,1,4]=>[4,1,2,7,3,6,5]=>[4,2,1] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,2,1,4]=>[4,1,2,7,6,3,5]=>[4,2,1] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,2,1,4]=>[4,1,2,7,6,5,3]=>[3,2,1,1] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,2,1,4]=>[4,1,2,7,5,6,3]=>[4,2,1] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,2,1,5]=>[5,1,2,3,7,4,6]=>[5,2] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,2,1,5]=>[5,1,2,3,7,6,4]=>[4,2,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,2,1,6]=>[6,1,2,3,4,7,5]=>[5,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,1,7]=>[6,1,2,3,4,5,7]=>[6,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,2,1,7]=>[6,1,2,3,5,4,7]=>[5,1,1] [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,2,1,6]=>[6,1,2,5,3,7,4]=>[4,2,1] [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,2,1,7]=>[6,1,2,5,3,4,7]=>[5,1,1] [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,2,1,7]=>[6,1,2,5,4,3,7]=>[4,1,1,1] [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,2,1,7]=>[6,1,2,4,5,3,7]=>[5,1,1] [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,2,1,5]=>[5,1,4,2,7,3,6]=>[4,2,1] [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,2,1,5]=>[5,1,4,2,7,6,3]=>[3,2,2] [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,2,1,6]=>[6,1,4,2,3,7,5]=>[4,2,1] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,2,1,7]=>[6,1,4,2,3,5,7]=>[5,1,1] [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,2,1,7]=>[6,1,4,2,5,3,7]=>[4,2,1] [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,2,1,6]=>[6,1,5,3,2,7,4]=>[3,2,1,1] [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,2,1,7]=>[6,1,5,3,2,4,7]=>[4,1,1,1] [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,2,1,7]=>[6,1,5,3,4,2,7]=>[4,1,1,1] [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,2,1,7]=>[6,1,5,4,3,2,7]=>[3,1,1,1,1] [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,2,1,6]=>[6,1,4,5,2,7,3]=>[4,2,1] [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,2,1,7]=>[6,1,4,5,2,3,7]=>[4,2,1] [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,2,1,7]=>[6,1,4,5,3,2,7]=>[4,1,1,1] [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,2,1,7]=>[6,1,4,3,5,2,7]=>[4,1,1,1] [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,2,1,7]=>[6,1,3,4,5,2,7]=>[5,1,1] [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,3,1,4]=>[4,3,1,7,2,5,6]=>[4,2,1] [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,3,1,4]=>[4,3,1,7,2,6,5]=>[3,2,2] [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,3,1,4]=>[4,3,1,7,6,2,5]=>[3,2,2] [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,3,1,4]=>[4,3,1,7,6,5,2]=>[2,2,2,1] [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,3,1,4]=>[4,3,1,7,5,6,2]=>[3,2,2] [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,3,1,5]=>[5,3,1,2,7,4,6]=>[4,2,1] [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,3,1,5]=>[5,3,1,2,7,6,4]=>[3,2,2] [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,3,1,6]=>[6,3,1,2,4,7,5]=>[4,2,1] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,3,1,7]=>[6,3,1,2,4,5,7]=>[5,1,1] [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,3,1,7]=>[6,3,1,2,5,4,7]=>[4,2,1] [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,3,1,6]=>[6,3,1,5,2,7,4]=>[3,3,1] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,3,1,7]=>[6,3,1,5,2,4,7]=>[4,2,1] [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,3,1,7]=>[6,3,1,5,4,2,7]=>[3,2,1,1] [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,3,1,7]=>[6,3,1,4,5,2,7]=>[4,2,1] [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,4,1,5]=>[5,4,2,1,7,3,6]=>[3,2,1,1] [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,4,1,5]=>[5,4,2,1,7,6,3]=>[2,2,2,1] [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,4,1,6]=>[6,4,2,1,3,7,5]=>[3,2,1,1] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,4,1,7]=>[6,4,2,1,3,5,7]=>[4,1,1,1] [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,4,1,7]=>[6,4,2,1,5,3,7]=>[3,2,1,1] [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,5,1,6]=>[6,5,2,3,1,7,4]=>[3,2,1,1] [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,5,1,7]=>[6,5,2,3,1,4,7]=>[4,1,1,1] [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,6,1,7]=>[6,5,2,3,4,1,7]=>[4,1,1,1] [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,6,1,7]=>[6,5,2,4,3,1,7]=>[3,1,1,1,1] [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,5,1,6]=>[6,5,4,2,1,7,3]=>[2,2,1,1,1] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,5,1,7]=>[6,5,4,2,1,3,7]=>[3,1,1,1,1] [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,6,1,7]=>[6,5,4,2,3,1,7]=>[3,1,1,1,1] [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7]=>[2,1,1,1,1,1] [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7]=>[3,1,1,1,1] [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,4,1,5]=>[5,3,4,1,7,2,6]=>[3,3,1] [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,4,1,5]=>[5,3,4,1,7,6,2]=>[3,2,2] [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,4,1,6]=>[6,3,4,1,2,7,5]=>[3,3,1] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,4,1,7]=>[6,3,4,1,2,5,7]=>[4,2,1] [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,4,1,7]=>[6,3,4,1,5,2,7]=>[4,2,1] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,5,1,6]=>[6,3,5,2,1,7,4]=>[3,2,1,1] [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,5,1,7]=>[6,3,5,2,1,4,7]=>[3,2,1,1] [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,6,1,7]=>[6,3,5,2,4,1,7]=>[3,2,1,1] [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,6,1,7]=>[6,3,5,4,2,1,7]=>[3,1,1,1,1] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,5,1,6]=>[6,4,2,5,1,7,3]=>[3,2,1,1] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,5,1,7]=>[6,4,2,5,1,3,7]=>[3,2,1,1] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,6,1,7]=>[6,4,2,5,3,1,7]=>[3,2,1,1] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,6,1,7]=>[6,4,2,3,5,1,7]=>[4,1,1,1] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7]=>[3,1,1,1,1] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,5,1,6]=>[6,3,4,5,1,7,2]=>[4,2,1] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,5,1,7]=>[6,3,4,5,1,2,7]=>[4,2,1] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,6,1,7]=>[6,3,4,5,2,1,7]=>[4,1,1,1] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,6,1,7]=>[6,3,4,2,5,1,7]=>[4,1,1,1] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,6,1,7]=>[6,3,2,4,5,1,7]=>[4,1,1,1] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[5,1,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,1,2,3]=>[2,3,7,1,4,5,6]=>[5,2] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,1,2,3]=>[2,3,7,1,4,6,5]=>[4,2,1] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,1,2,3]=>[2,3,7,1,6,4,5]=>[4,2,1] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,1,2,3]=>[2,3,7,1,6,5,4]=>[3,2,1,1] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,1,2,3]=>[2,3,7,1,5,6,4]=>[4,2,1] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,1,2,3]=>[2,3,7,5,1,4,6]=>[4,2,1] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,1,2,3]=>[2,3,7,5,1,6,4]=>[4,2,1] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,1,2,3]=>[2,3,7,6,4,1,5]=>[4,1,1,1] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,1,2,3]=>[2,3,7,6,4,5,1]=>[4,1,1,1] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,1,2,3]=>[2,3,7,6,5,4,1]=>[3,1,1,1,1] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,1,2,3]=>[2,3,7,5,6,1,4]=>[4,2,1] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,1,2,3]=>[2,3,7,5,6,4,1]=>[4,1,1,1] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,1,2,3]=>[2,3,7,5,4,6,1]=>[4,1,1,1] [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,1,2,3]=>[2,3,7,4,5,6,1]=>[5,1,1] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,1,2,4]=>[2,4,1,7,3,5,6]=>[4,3] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,1,2,4]=>[2,4,1,7,3,6,5]=>[3,3,1] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,1,2,4]=>[2,4,1,7,6,3,5]=>[3,3,1] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,1,2,4]=>[2,4,1,7,6,5,3]=>[3,2,1,1] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,1,2,4]=>[2,4,1,7,5,6,3]=>[4,2,1] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,1,2,5]=>[2,5,1,3,7,4,6]=>[4,3] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,1,2,5]=>[2,5,1,3,7,6,4]=>[3,3,1] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,1,2,6]=>[2,6,1,3,4,7,5]=>[4,3] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,1,2,7]=>[2,6,1,3,4,5,7]=>[5,2] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,1,2,7]=>[2,6,1,3,5,4,7]=>[4,2,1] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,1,2,6]=>[2,6,1,5,3,7,4]=>[3,3,1] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,1,2,7]=>[2,6,1,5,3,4,7]=>[4,2,1] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,1,2,7]=>[2,6,1,5,4,3,7]=>[3,2,1,1] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,1,2,7]=>[2,6,1,4,5,3,7]=>[4,2,1] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,1,2,5]=>[2,5,4,1,7,3,6]=>[3,3,1] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,1,2,5]=>[2,5,4,1,7,6,3]=>[3,2,2] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,1,2,6]=>[2,6,4,1,3,7,5]=>[3,3,1] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,1,2,7]=>[2,6,4,1,3,5,7]=>[4,2,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,1,2,7]=>[2,6,4,1,5,3,7]=>[4,2,1] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,1,2,6]=>[2,6,5,3,1,7,4]=>[3,2,1,1] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,1,2,7]=>[2,6,5,3,1,4,7]=>[4,1,1,1] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,1,2,7]=>[2,6,5,3,4,1,7]=>[4,1,1,1] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,1,2,7]=>[2,6,5,4,3,1,7]=>[3,1,1,1,1] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,1,2,6]=>[2,6,4,5,1,7,3]=>[4,2,1] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,1,2,7]=>[2,6,4,5,1,3,7]=>[4,2,1] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,1,2,7]=>[2,6,4,5,3,1,7]=>[4,1,1,1] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,1,2,7]=>[2,6,4,3,5,1,7]=>[4,1,1,1] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,1,2,7]=>[2,6,3,4,5,1,7]=>[5,1,1] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,1,3,4]=>[3,1,4,7,2,5,6]=>[4,3] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,1,3,4]=>[3,1,4,7,2,6,5]=>[3,3,1] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,1,3,4]=>[3,1,4,7,6,2,5]=>[3,3,1] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,1,3,4]=>[3,1,4,7,6,5,2]=>[3,2,1,1] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,1,3,4]=>[3,1,4,7,5,6,2]=>[4,2,1] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,1,3,5]=>[3,1,5,2,7,4,6]=>[4,3] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,1,3,5]=>[3,1,5,2,7,6,4]=>[3,3,1] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,1,3,6]=>[3,1,6,2,4,7,5]=>[4,3] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,1,3,7]=>[3,1,6,2,4,5,7]=>[5,2] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,1,3,7]=>[3,1,6,2,5,4,7]=>[4,2,1] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,1,3,6]=>[3,1,6,5,2,7,4]=>[3,3,1] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,1,3,7]=>[3,1,6,5,2,4,7]=>[4,2,1] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,1,3,7]=>[3,1,6,5,4,2,7]=>[3,2,1,1] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,1,3,7]=>[3,1,6,4,5,2,7]=>[4,2,1] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,1,4,5]=>[4,1,2,5,7,3,6]=>[4,3] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,1,4,5]=>[4,1,2,5,7,6,3]=>[4,2,1] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,1,4,6]=>[4,1,2,6,3,7,5]=>[4,3] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,1,4,7]=>[4,1,2,6,3,5,7]=>[5,2] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,1,4,7]=>[4,1,2,6,5,3,7]=>[4,2,1] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,1,5,6]=>[5,1,2,3,6,7,4]=>[5,2] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,1,5,7]=>[5,1,2,3,6,4,7]=>[5,2] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,1,6,7]=>[5,1,2,3,4,6,7]=>[6,1] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,1,6,7]=>[5,1,2,4,3,6,7]=>[5,1,1] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,1,5,6]=>[5,1,4,2,6,7,3]=>[4,2,1] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,1,5,7]=>[5,1,4,2,6,3,7]=>[4,2,1] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,1,6,7]=>[5,1,4,2,3,6,7]=>[5,1,1] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,1,6,7]=>[5,1,4,3,2,6,7]=>[4,1,1,1] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,1,6,7]=>[5,1,3,4,2,6,7]=>[5,1,1] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,1,4,5]=>[4,3,1,5,7,2,6]=>[3,3,1] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,1,4,5]=>[4,3,1,5,7,6,2]=>[3,2,2] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,1,4,6]=>[4,3,1,6,2,7,5]=>[3,3,1] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,1,4,7]=>[4,3,1,6,2,5,7]=>[4,2,1] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,1,4,7]=>[4,3,1,6,5,2,7]=>[3,2,2] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,1,5,6]=>[5,3,1,2,6,7,4]=>[4,2,1] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,1,5,7]=>[5,3,1,2,6,4,7]=>[4,2,1] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,1,6,7]=>[5,3,1,2,4,6,7]=>[5,1,1] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,1,6,7]=>[5,3,1,4,2,6,7]=>[4,2,1] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,1,5,6]=>[5,4,2,1,6,7,3]=>[3,2,1,1] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,1,5,7]=>[5,4,2,1,6,3,7]=>[3,2,1,1] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,1,6,7]=>[5,4,2,1,3,6,7]=>[4,1,1,1] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,1,6,7]=>[5,4,2,3,1,6,7]=>[4,1,1,1] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7]=>[3,1,1,1,1] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,1,5,6]=>[5,3,4,1,6,7,2]=>[4,2,1] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,1,5,7]=>[5,3,4,1,6,2,7]=>[4,2,1] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,1,6,7]=>[5,3,4,1,2,6,7]=>[4,2,1] [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,1,6,7]=>[5,3,4,2,1,6,7]=>[4,1,1,1] [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,1,6,7]=>[5,3,2,4,1,6,7]=>[4,1,1,1] [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[5,1,1] [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[7,6,5,1,2,3,4]=>[2,3,4,7,1,5,6]=>[5,2] [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[6,7,5,1,2,3,4]=>[2,3,4,7,1,6,5]=>[4,2,1] [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[7,5,6,1,2,3,4]=>[2,3,4,7,6,1,5]=>[4,2,1] [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[6,5,7,1,2,3,4]=>[2,3,4,7,6,5,1]=>[4,1,1,1] [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,6,7,1,2,3,4]=>[2,3,4,7,5,6,1]=>[5,1,1] [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[7,6,4,1,2,3,5]=>[2,3,5,1,7,4,6]=>[4,3] [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[6,7,4,1,2,3,5]=>[2,3,5,1,7,6,4]=>[4,2,1] [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[7,5,4,1,2,3,6]=>[2,3,6,1,4,7,5]=>[4,3] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[6,5,4,1,2,3,7]=>[2,3,6,1,4,5,7]=>[5,2] [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[5,6,4,1,2,3,7]=>[2,3,6,1,5,4,7]=>[4,2,1] [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[7,4,5,1,2,3,6]=>[2,3,6,5,1,7,4]=>[4,2,1] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[6,4,5,1,2,3,7]=>[2,3,6,5,1,4,7]=>[4,2,1] [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[5,4,6,1,2,3,7]=>[2,3,6,5,4,1,7]=>[4,1,1,1] [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]=>[5,1,1] [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[7,6,3,1,2,4,5]=>[2,4,1,5,7,3,6]=>[4,3] [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[6,7,3,1,2,4,5]=>[2,4,1,5,7,6,3]=>[4,2,1] [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[7,5,3,1,2,4,6]=>[2,4,1,6,3,7,5]=>[4,3] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[6,5,3,1,2,4,7]=>[2,4,1,6,3,5,7]=>[4,3] [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[5,6,3,1,2,4,7]=>[2,4,1,6,5,3,7]=>[4,2,1] [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[7,4,3,1,2,5,6]=>[2,5,1,3,6,7,4]=>[4,3] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[6,4,3,1,2,5,7]=>[2,5,1,3,6,4,7]=>[4,3] [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[5,4,3,1,2,6,7]=>[2,5,1,3,4,6,7]=>[5,2] [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,5,3,1,2,6,7]=>[2,5,1,4,3,6,7]=>[4,2,1] [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,4,1,2,5,6]=>[2,5,4,1,6,7,3]=>[4,2,1] [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[6,3,4,1,2,5,7]=>[2,5,4,1,6,3,7]=>[4,2,1] [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[5,3,4,1,2,6,7]=>[2,5,4,1,3,6,7]=>[4,2,1] [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,3,5,1,2,6,7]=>[2,5,4,3,1,6,7]=>[4,1,1,1] [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,4,5,1,2,6,7]=>[2,5,3,4,1,6,7]=>[5,1,1] [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[7,6,2,1,3,4,5]=>[3,1,4,5,7,2,6]=>[4,3] [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[6,7,2,1,3,4,5]=>[3,1,4,5,7,6,2]=>[4,2,1] [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[7,5,2,1,3,4,6]=>[3,1,4,6,2,7,5]=>[4,3] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[6,5,2,1,3,4,7]=>[3,1,4,6,2,5,7]=>[4,3] [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[5,6,2,1,3,4,7]=>[3,1,4,6,5,2,7]=>[4,2,1] [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[7,4,2,1,3,5,6]=>[3,1,5,2,6,7,4]=>[4,3] [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[6,4,2,1,3,5,7]=>[3,1,5,2,6,4,7]=>[4,3] [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[5,4,2,1,3,6,7]=>[3,1,5,2,4,6,7]=>[5,2] [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,2,1,3,6,7]=>[3,1,5,4,2,6,7]=>[4,2,1] [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[7,3,2,1,4,5,6]=>[4,1,2,5,6,7,3]=>[5,2] [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[6,3,2,1,4,5,7]=>[4,1,2,5,6,3,7]=>[5,2] [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[5,3,2,1,4,6,7]=>[4,1,2,5,3,6,7]=>[5,2] [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,3,2,1,5,6,7]=>[4,1,2,3,5,6,7]=>[6,1] [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,4,2,1,5,6,7]=>[4,1,3,2,5,6,7]=>[5,1,1] [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,3,1,4,5,6]=>[4,3,1,5,6,7,2]=>[4,2,1] [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[6,2,3,1,4,5,7]=>[4,3,1,5,6,2,7]=>[4,2,1] [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[5,2,3,1,4,6,7]=>[4,3,1,5,2,6,7]=>[4,2,1] [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,3,1,5,6,7]=>[4,3,1,2,5,6,7]=>[5,1,1] [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,1,1,1] [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[5,1,1] [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,2,3,4,5]=>[2,3,4,5,7,1,6]=>[5,2] [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,7,1,2,3,4,5]=>[2,3,4,5,7,6,1]=>[5,1,1] [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[7,5,1,2,3,4,6]=>[2,3,4,6,1,7,5]=>[5,2] [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[6,5,1,2,3,4,7]=>[2,3,4,6,1,5,7]=>[5,2] [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,6,1,2,3,4,7]=>[2,3,4,6,5,1,7]=>[5,1,1] [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,4,1,2,3,5,6]=>[2,3,5,1,6,7,4]=>[5,2] [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[6,4,1,2,3,5,7]=>[2,3,5,1,6,4,7]=>[5,2] [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,4,1,2,3,6,7]=>[2,3,5,1,4,6,7]=>[5,2] [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,5,1,2,3,6,7]=>[2,3,5,4,1,6,7]=>[5,1,1] [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,1,2,4,5,6]=>[2,4,1,5,6,7,3]=>[5,2] [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[6,3,1,2,4,5,7]=>[2,4,1,5,6,3,7]=>[5,2] [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,3,1,2,4,6,7]=>[2,4,1,5,3,6,7]=>[5,2] [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[4,3,1,2,5,6,7]=>[2,4,1,3,5,6,7]=>[5,2] [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,4,1,2,5,6,7]=>[2,4,3,1,5,6,7]=>[5,1,1] [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,3,4,5,6]=>[3,1,4,5,6,7,2]=>[5,2] [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[6,2,1,3,4,5,7]=>[3,1,4,5,6,2,7]=>[5,2] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,2,1,3,4,6,7]=>[3,1,4,5,2,6,7]=>[5,2] [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,3,5,6,7]=>[3,1,4,2,5,6,7]=>[5,2] [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>[6,1] [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[5,1,1] [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[6,1] [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[6,1] [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[6,1] [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[6,1] [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[6,1] [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[6,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,3,2,1]=>[8,1,2,3,4,5,6,7]=>[7,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,3,2,1]=>[8,1,2,3,4,5,7,6]=>[6,1,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,3,2,1]=>[8,1,2,3,4,7,5,6]=>[6,1,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,3,2,1]=>[8,1,2,3,4,7,6,5]=>[5,1,1,1] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,3,2,1]=>[8,1,2,3,4,6,7,5]=>[6,1,1] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,3,2,1]=>[8,1,2,3,6,4,5,7]=>[6,1,1] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,3,2,1]=>[8,1,2,3,6,4,7,5]=>[5,2,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,4,3,2,1]=>[8,1,2,3,7,5,4,6]=>[5,1,1,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,3,2,1]=>[8,1,2,3,7,5,6,4]=>[5,1,1,1] [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,3,2,1]=>[8,1,2,3,7,6,5,4]=>[4,1,1,1,1] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,3,2,1]=>[8,1,2,3,6,7,4,5]=>[5,2,1] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,3,2,1]=>[8,1,2,3,6,7,5,4]=>[5,1,1,1] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,3,2,1]=>[8,1,2,3,6,5,7,4]=>[5,1,1,1] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,3,2,1]=>[8,1,2,3,5,6,7,4]=>[6,1,1] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,3,2,1]=>[8,1,2,5,3,4,6,7]=>[6,1,1] [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,5,3,2,1]=>[8,1,2,5,3,4,7,6]=>[5,2,1] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,3,2,1]=>[8,1,2,5,3,7,4,6]=>[5,2,1] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,5,3,2,1]=>[8,1,2,5,3,7,6,4]=>[4,2,1,1] [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,5,3,2,1]=>[8,1,2,5,3,6,7,4]=>[5,2,1] [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,6,3,2,1]=>[8,1,2,6,4,3,7,5]=>[4,2,1,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,3,2,1]=>[8,1,2,7,4,5,3,6]=>[5,1,1,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,3,2,1]=>[8,1,2,7,4,5,6,3]=>[5,1,1,1] [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,8,3,2,1]=>[8,1,2,7,4,6,5,3]=>[4,1,1,1,1] [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,3,2,1]=>[8,1,2,7,6,4,5,3]=>[4,1,1,1,1] [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,3,2,1]=>[8,1,2,7,6,5,4,3]=>[3,1,1,1,1,1] [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,3,2,1]=>[8,1,2,5,6,3,4,7]=>[5,2,1] [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,3,2,1]=>[8,1,2,5,6,3,7,4]=>[5,2,1] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,8,3,2,1]=>[8,1,2,5,7,4,6,3]=>[4,2,1,1] [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,3,2,1]=>[8,1,2,6,4,7,5,3]=>[4,2,1,1] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,8,3,2,1]=>[8,1,2,6,4,5,7,3]=>[5,1,1,1] [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,7,3,2,1]=>[8,1,2,5,6,7,3,4]=>[5,2,1] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,8,3,2,1]=>[8,1,2,5,6,7,4,3]=>[5,1,1,1] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,3,2,1]=>[8,1,2,4,5,6,7,3]=>[6,1,1] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,4,2,1]=>[8,1,4,2,3,5,6,7]=>[6,1,1] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,4,2,1]=>[8,1,4,2,3,5,7,6]=>[5,2,1] [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,4,2,1]=>[8,1,4,2,3,7,5,6]=>[5,2,1] [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,4,2,1]=>[8,1,4,2,3,7,6,5]=>[4,2,1,1] [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,4,2,1]=>[8,1,4,2,3,6,7,5]=>[5,2,1] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,4,2,1]=>[8,1,4,2,6,3,5,7]=>[5,2,1] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,4,2,1]=>[8,1,4,2,6,3,7,5]=>[4,3,1] [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,4,2,1]=>[8,1,4,2,7,5,3,6]=>[4,2,1,1] [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,4,2,1]=>[8,1,4,2,7,5,6,3]=>[4,2,1,1] [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,3,4,2,1]=>[8,1,4,2,6,7,3,5]=>[4,3,1] [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,4,2,1]=>[8,1,4,2,6,7,5,3]=>[4,2,1,1] [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,4,2,1]=>[8,1,4,2,6,5,7,3]=>[4,2,1,1] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,4,2,1]=>[8,1,4,2,5,6,7,3]=>[5,2,1] [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,5,2,1]=>[8,1,5,3,2,4,6,7]=>[5,1,1,1] [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,5,2,1]=>[8,1,5,3,2,4,7,6]=>[4,2,1,1] [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,3,5,2,1]=>[8,1,5,3,2,7,4,6]=>[4,2,1,1] [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,5,2,1]=>[8,1,5,3,2,6,7,4]=>[4,2,1,1] [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,6,2,1]=>[8,1,6,3,4,2,5,7]=>[5,1,1,1] [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,6,2,1]=>[8,1,6,3,4,2,7,5]=>[4,2,1,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,7,2,1]=>[8,1,7,3,4,5,2,6]=>[5,1,1,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,8,2,1]=>[8,1,7,3,4,5,6,2]=>[5,1,1,1] [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,3,7,2,1]=>[8,1,7,3,6,4,2,5]=>[4,1,1,1,1] [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,8,2,1]=>[8,1,7,3,6,4,5,2]=>[4,1,1,1,1] [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,8,2,1]=>[8,1,7,3,5,6,4,2]=>[4,1,1,1,1] [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,3,7,2,1]=>[8,1,7,6,4,3,2,5]=>[3,1,1,1,1,1] [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,3,8,2,1]=>[8,1,7,6,4,3,5,2]=>[3,1,1,1,1,1] [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,8,2,1]=>[8,1,7,6,4,5,3,2]=>[3,1,1,1,1,1] [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,3,8,2,1]=>[8,1,7,6,5,4,3,2]=>[2,1,1,1,1,1,1] [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,3,8,2,1]=>[8,1,7,5,6,4,3,2]=>[3,1,1,1,1,1] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,5,2,1]=>[8,1,4,5,2,3,6,7]=>[5,2,1] [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,4,5,2,1]=>[8,1,4,5,2,3,7,6]=>[4,3,1] [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,4,5,2,1]=>[8,1,4,5,2,7,3,6]=>[4,3,1] [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,5,2,1]=>[8,1,4,5,2,6,7,3]=>[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]=>[8,1,4,7,3,5,6,2]=>[4,2,1,1] [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,4,8,2,1]=>[8,1,4,7,3,6,5,2]=>[3,2,1,1,1] [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,7,2,1]=>[8,1,4,7,6,3,2,5]=>[3,2,1,1,1] [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,8,2,1]=>[8,1,4,7,6,5,3,2]=>[3,1,1,1,1,1] [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,5,6,2,1]=>[8,1,5,3,6,2,4,7]=>[4,2,1,1] [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,5,6,2,1]=>[8,1,5,3,6,2,7,4]=>[4,2,1,1] [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,8,2,1]=>[8,1,5,3,7,4,6,2]=>[4,2,1,1] [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,7,2,1]=>[8,1,6,3,4,7,2,5]=>[4,2,1,1] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,8,2,1]=>[8,1,6,3,4,5,7,2]=>[5,1,1,1] [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,8,2,1]=>[8,1,6,3,5,4,7,2]=>[4,1,1,1,1] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,5,6,2,1]=>[8,1,4,5,6,2,3,7]=>[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]=>[8,1,4,5,7,3,6,2]=>[4,2,1,1] [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,6,7,2,1]=>[8,1,4,6,3,7,2,5]=>[4,2,1,1] [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,6,8,2,1]=>[8,1,4,6,3,7,5,2]=>[4,2,1,1] [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,7,8,2,1]=>[8,1,4,6,3,5,7,2]=>[4,2,1,1] [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,8,2,1]=>[8,1,5,3,6,4,7,2]=>[4,2,1,1] [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,7,8,2,1]=>[8,1,5,4,3,6,7,2]=>[4,1,1,1,1] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,7,2,1]=>[8,1,4,5,6,7,2,3]=>[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]=>[8,1,4,5,6,3,7,2]=>[5,1,1,1] [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[5,3,4,6,7,8,2,1]=>[8,1,4,5,3,6,7,2]=>[5,1,1,1] [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,7,8,2,1]=>[8,1,4,3,5,6,7,2]=>[5,1,1,1] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,2,1]=>[8,1,3,4,5,6,7,2]=>[6,1,1] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,2,3,1]=>[8,3,1,2,4,5,6,7]=>[6,1,1] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,2,3,1]=>[8,3,1,2,4,5,7,6]=>[5,2,1] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,2,3,1]=>[8,3,1,2,4,7,5,6]=>[5,2,1] [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,2,3,1]=>[8,3,1,2,4,7,6,5]=>[4,2,1,1] [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,2,3,1]=>[8,3,1,2,6,4,5,7]=>[5,2,1] [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,2,3,1]=>[8,3,1,2,6,4,7,5]=>[4,3,1] [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,2,3,1]=>[8,3,1,2,6,7,4,5]=>[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]=>[8,3,1,2,5,6,7,4]=>[5,2,1] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,2,3,1]=>[8,3,1,5,2,4,6,7]=>[5,2,1] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,2,3,1]=>[8,3,1,5,2,7,4,6]=>[4,3,1] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,5,2,3,1]=>[8,3,1,5,2,7,6,4]=>[3,3,1,1] [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,5,2,3,1]=>[8,3,1,5,2,6,7,4]=>[4,3,1] [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,6,2,3,1]=>[8,3,1,6,4,2,5,7]=>[4,2,1,1] [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,2,3,1]=>[8,3,1,7,4,5,2,6]=>[4,2,1,1] [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,7,2,3,1]=>[8,3,1,7,6,4,2,5]=>[3,2,1,1,1] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,2,3,1]=>[8,3,1,7,6,4,5,2]=>[3,2,1,1,1] [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,2,3,1]=>[8,3,1,7,6,5,4,2]=>[2,2,1,1,1,1] [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,8,2,3,1]=>[8,3,1,7,5,6,4,2]=>[3,2,1,1,1] [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,2,3,1]=>[8,3,1,5,6,2,7,4]=>[4,3,1] [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,8,2,3,1]=>[8,3,1,5,4,6,7,2]=>[4,2,1,1] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,2,4,1]=>[8,4,2,1,3,5,6,7]=>[5,1,1,1] [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,2,4,1]=>[8,4,2,1,3,5,7,6]=>[4,2,1,1] [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,2,4,1]=>[8,4,2,1,3,7,5,6]=>[4,2,1,1] [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,2,4,1]=>[8,4,2,1,3,7,6,5]=>[3,2,2,1] [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,2,4,1]=>[8,4,2,1,3,6,7,5]=>[4,2,1,1] [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,2,4,1]=>[8,4,2,1,6,3,5,7]=>[4,2,1,1] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,2,4,1]=>[8,4,2,1,7,5,3,6]=>[3,2,2,1] [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,2,4,1]=>[8,4,2,1,7,5,6,3]=>[3,2,2,1] [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,2,4,1]=>[8,4,2,1,7,6,5,3]=>[2,2,2,1,1] [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,2,4,1]=>[8,4,2,1,6,7,5,3]=>[3,2,2,1] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,2,4,1]=>[8,4,2,1,5,6,7,3]=>[4,2,1,1] [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,2,5,1]=>[8,5,2,3,1,6,7,4]=>[4,2,1,1] [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,2,6,1]=>[8,6,2,3,4,1,5,7]=>[5,1,1,1] [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,2,6,1]=>[8,6,2,3,4,1,7,5]=>[4,2,1,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,2,7,1]=>[8,7,2,3,4,5,1,6]=>[5,1,1,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,8,1]=>[8,7,2,3,4,5,6,1]=>[5,1,1,1] [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,2,8,1]=>[8,7,2,3,6,5,4,1]=>[3,1,1,1,1,1] [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,2,8,1]=>[8,7,2,6,4,5,3,1]=>[3,1,1,1,1,1] [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,3,2,8,1]=>[8,7,2,5,6,4,3,1]=>[3,1,1,1,1,1] [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,2,8,1]=>[8,7,2,4,5,6,3,1]=>[4,1,1,1,1] [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,2,5,1]=>[8,5,4,2,1,3,6,7]=>[4,1,1,1,1] [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,4,2,5,1]=>[8,5,4,2,1,3,7,6]=>[3,2,1,1,1] [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,4,2,5,1]=>[8,5,4,2,1,7,3,6]=>[3,2,1,1,1] [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,4,2,5,1]=>[8,5,4,2,1,7,6,3]=>[2,2,2,1,1] [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,2,5,1]=>[8,5,4,2,1,6,7,3]=>[3,2,1,1,1] [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,2,6,1]=>[8,6,4,2,3,1,5,7]=>[4,1,1,1,1] [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,2,6,1]=>[8,6,4,2,3,1,7,5]=>[3,2,1,1,1] [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,2,7,1]=>[8,7,4,2,6,3,1,5]=>[3,2,1,1,1] [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,2,8,1]=>[8,7,4,2,6,3,5,1]=>[3,2,1,1,1] [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,2,8,1]=>[8,7,4,2,6,5,3,1]=>[2,2,1,1,1,1] [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,5,2,6,1]=>[8,6,5,3,2,1,4,7]=>[3,1,1,1,1,1] [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,5,2,6,1]=>[8,6,5,3,2,1,7,4]=>[2,2,1,1,1,1] [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,5,2,7,1]=>[8,7,5,3,2,4,1,6]=>[3,1,1,1,1,1] [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,2,8,1]=>[8,7,5,3,2,4,6,1]=>[3,1,1,1,1,1] [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,3,5,2,8,1]=>[8,7,5,3,2,6,4,1]=>[2,2,1,1,1,1] [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,2,7,1]=>[8,7,6,3,4,2,1,5]=>[3,1,1,1,1,1] [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,6,2,8,1]=>[8,7,6,3,4,2,5,1]=>[3,1,1,1,1,1] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,2,8,1]=>[8,7,6,3,4,5,2,1]=>[3,1,1,1,1,1] [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,6,2,7,1]=>[8,7,6,5,3,2,1,4]=>[2,1,1,1,1,1,1] [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,6,2,8,1]=>[8,7,6,5,3,2,4,1]=>[2,1,1,1,1,1,1] [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,7,2,8,1]=>[8,7,6,5,3,4,2,1]=>[2,1,1,1,1,1,1] [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1] [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1]=>[2,1,1,1,1,1,1] [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,5,2,7,1]=>[8,7,4,5,2,3,1,6]=>[3,2,1,1,1] [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,7,2,8,1]=>[8,7,4,6,3,5,2,1]=>[2,2,1,1,1,1] [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,2,8,1]=>[8,7,4,6,5,3,2,1]=>[2,1,1,1,1,1,1] [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,2,8,1]=>[8,7,5,3,6,4,2,1]=>[2,2,1,1,1,1] [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1]=>[2,1,1,1,1,1,1] [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,6,2,8,1]=>[8,7,4,5,6,2,3,1]=>[3,2,1,1,1] [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,2,8,1]=>[8,7,4,5,6,3,2,1]=>[3,1,1,1,1,1] [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,7,2,8,1]=>[8,7,4,3,5,6,2,1]=>[3,1,1,1,1,1] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,2,8,1]=>[8,7,3,4,5,6,2,1]=>[4,1,1,1,1] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,3,4,1]=>[8,3,4,1,2,5,6,7]=>[5,2,1] [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,2,3,4,1]=>[8,3,4,1,2,7,5,6]=>[4,3,1] [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,3,4,1]=>[8,3,4,1,2,6,7,5]=>[4,3,1] [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,2,3,4,1]=>[8,3,4,1,6,2,5,7]=>[4,3,1] [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,2,3,4,1]=>[8,3,4,1,7,5,6,2]=>[4,2,1,1] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,2,3,4,1]=>[8,3,4,1,6,7,2,5]=>[4,3,1] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,3,4,1]=>[8,3,4,1,5,6,7,2]=>[5,2,1] [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,2,3,5,1]=>[8,3,5,2,1,4,6,7]=>[4,2,1,1] [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,2,3,5,1]=>[8,3,5,2,1,4,7,6]=>[3,3,1,1] [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,2,3,5,1]=>[8,3,5,2,1,7,4,6]=>[3,3,1,1] [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,2,3,5,1]=>[8,3,5,2,1,6,7,4]=>[4,2,1,1] [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,2,3,6,1]=>[8,3,6,2,4,1,5,7]=>[4,2,1,1] [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,2,3,6,1]=>[8,3,6,2,4,1,7,5]=>[3,3,1,1] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,2,3,8,1]=>[8,3,7,2,4,5,6,1]=>[4,2,1,1] [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,2,3,7,1]=>[8,3,7,2,6,4,1,5]=>[3,2,1,1,1] [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,2,3,8,1]=>[8,3,7,2,6,4,5,1]=>[3,2,1,1,1] [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,2,3,6,1]=>[8,3,6,5,2,1,7,4]=>[3,2,1,1,1] [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,2,3,8,1]=>[8,3,7,5,2,4,6,1]=>[3,2,1,1,1] [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,2,3,7,1]=>[8,3,7,6,4,2,1,5]=>[3,1,1,1,1,1] [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,2,3,8,1]=>[8,3,7,6,5,4,2,1]=>[2,1,1,1,1,1,1] [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,2,3,8,1]=>[8,3,7,5,6,4,2,1]=>[3,1,1,1,1,1] [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,2,3,8,1]=>[8,3,7,5,4,6,2,1]=>[3,1,1,1,1,1] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,2,3,8,1]=>[8,3,7,4,5,6,2,1]=>[4,1,1,1,1] [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,2,4,5,1]=>[8,4,2,5,1,3,6,7]=>[4,2,1,1] [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,2,4,5,1]=>[8,4,2,5,1,3,7,6]=>[3,3,1,1] [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,2,4,5,1]=>[8,4,2,5,1,6,7,3]=>[4,2,1,1] [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,2,4,8,1]=>[8,4,2,7,3,5,6,1]=>[4,2,1,1] [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,2,5,6,1]=>[8,5,2,3,6,1,4,7]=>[4,2,1,1] [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,2,5,6,1]=>[8,5,2,3,6,1,7,4]=>[4,2,1,1] [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,2,5,7,1]=>[8,5,2,3,7,4,1,6]=>[4,2,1,1] [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,2,5,8,1]=>[8,5,2,3,7,4,6,1]=>[4,2,1,1] [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,2,6,7,1]=>[8,6,2,3,4,7,1,5]=>[4,2,1,1] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,2,7,8,1]=>[8,6,2,3,4,5,7,1]=>[5,1,1,1] [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,2,7,8,1]=>[8,6,2,5,3,4,7,1]=>[4,1,1,1,1] [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,2,7,8,1]=>[8,6,2,4,5,3,7,1]=>[4,1,1,1,1] [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,2,5,6,1]=>[8,5,4,2,6,1,3,7]=>[3,2,1,1,1] [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,2,5,6,1]=>[8,5,4,2,6,1,7,3]=>[3,2,1,1,1] [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,2,6,7,1]=>[8,6,4,2,3,7,1,5]=>[3,2,1,1,1] [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,2,7,8,1]=>[8,6,4,2,3,5,7,1]=>[4,1,1,1,1] [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,2,7,8,1]=>[8,6,5,3,2,4,7,1]=>[3,1,1,1,1,1] [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,2,7,8,1]=>[8,6,5,4,3,2,7,1]=>[2,1,1,1,1,1,1] [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,2,6,7,1]=>[8,6,4,5,2,7,1,3]=>[3,2,1,1,1] [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,2,7,8,1]=>[8,6,4,3,5,2,7,1]=>[3,1,1,1,1,1] [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,4,5,1]=>[8,3,4,5,1,2,6,7]=>[5,2,1] [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[8,6,7,2,3,4,5,1]=>[8,3,4,5,1,7,2,6]=>[4,3,1] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,3,4,5,1]=>[8,3,4,5,1,6,7,2]=>[5,2,1] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,3,4,8,1]=>[8,3,4,7,2,5,6,1]=>[4,2,1,1] [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[7,8,4,2,3,5,6,1]=>[8,3,5,2,6,1,7,4]=>[4,2,1,1] [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,3,5,7,1]=>[8,3,5,2,7,4,1,6]=>[3,3,1,1] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[6,5,4,2,3,7,8,1]=>[8,3,6,2,4,5,7,1]=>[4,2,1,1] [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[8,4,5,2,3,6,7,1]=>[8,3,6,5,2,7,1,4]=>[3,2,1,1,1] [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,5,6,2,3,7,8,1]=>[8,3,6,4,5,2,7,1]=>[4,1,1,1,1] [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,4,5,6,1]=>[8,4,2,5,6,1,7,3]=>[4,2,1,1] [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,4,5,8,1]=>[8,4,2,5,7,6,3,1]=>[3,2,1,1,1] [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,2,4,6,8,1]=>[8,4,2,6,3,7,5,1]=>[3,3,1,1] [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[7,4,3,2,5,6,8,1]=>[8,5,2,3,6,7,4,1]=>[4,2,1,1] [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,2,5,6,7,1]=>[8,5,4,2,6,7,1,3]=>[3,2,1,1,1] [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[5,3,4,2,6,7,8,1]=>[8,5,4,2,3,6,7,1]=>[4,1,1,1,1] [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,2,6,7,8,1]=>[8,5,4,3,2,6,7,1]=>[3,1,1,1,1,1] [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,6,7,8,1]=>[8,5,3,4,2,6,7,1]=>[4,1,1,1,1] [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[8,7,2,3,4,5,6,1]=>[8,3,4,5,6,1,2,7]=>[5,2,1] [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,3,4,5,6,1]=>[8,3,4,5,6,1,7,2]=>[5,2,1] [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[8,6,2,3,4,5,7,1]=>[8,3,4,5,7,2,1,6]=>[4,2,1,1] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[6,7,2,3,4,5,8,1]=>[8,3,4,5,7,6,2,1]=>[4,1,1,1,1] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[4,5,2,3,6,7,8,1]=>[8,3,5,4,2,6,7,1]=>[4,1,1,1,1] [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,4,5,6,7,1]=>[8,4,2,5,6,7,1,3]=>[4,2,1,1] [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[7,3,2,4,5,6,8,1]=>[8,4,2,5,6,7,3,1]=>[4,2,1,1] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,5,6,7,8,1]=>[8,4,2,3,5,6,7,1]=>[5,1,1,1] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[4,1,1,1,1] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,5,6,7,1]=>[8,3,4,5,6,7,1,2]=>[5,2,1] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[7,2,3,4,5,6,8,1]=>[8,3,4,5,6,7,2,1]=>[5,1,1,1] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,4,6,7,8,1]=>[8,3,4,5,2,6,7,1]=>[5,1,1,1] [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,5,6,7,8,1]=>[8,3,4,2,5,6,7,1]=>[5,1,1,1] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[5,1,1,1] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]=>[6,1,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,3,1,2]=>[2,8,1,3,4,5,6,7]=>[6,2] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,3,1,2]=>[2,8,1,3,4,5,7,6]=>[5,2,1] [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,3,1,2]=>[2,8,1,3,4,7,5,6]=>[5,2,1] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,3,1,2]=>[2,8,1,3,6,4,5,7]=>[5,2,1] [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,3,1,2]=>[2,8,1,3,6,4,7,5]=>[4,3,1] [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,4,3,1,2]=>[2,8,1,3,7,5,4,6]=>[4,2,1,1] [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,3,1,2]=>[2,8,1,3,7,5,6,4]=>[4,2,1,1] [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,3,1,2]=>[2,8,1,3,6,7,4,5]=>[4,3,1] [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,3,1,2]=>[2,8,1,3,6,5,7,4]=>[4,2,1,1] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,3,1,2]=>[2,8,1,3,5,6,7,4]=>[5,2,1] [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,3,1,2]=>[2,8,1,5,3,4,6,7]=>[5,2,1] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,5,3,1,2]=>[2,8,1,5,3,4,7,6]=>[4,3,1] [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,3,1,2]=>[2,8,1,5,3,7,4,6]=>[4,3,1] [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,5,3,1,2]=>[2,8,1,5,3,7,6,4]=>[3,3,1,1] [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,3,1,2]=>[2,8,1,7,6,5,4,3]=>[2,2,1,1,1,1] [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,3,1,2]=>[2,8,1,5,6,3,4,7]=>[4,3,1] [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,3,1,2]=>[2,8,1,5,6,3,7,4]=>[4,3,1] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,4,1,2]=>[2,8,4,1,3,5,6,7]=>[5,2,1] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,4,1,2]=>[2,8,4,1,3,5,7,6]=>[4,3,1] [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,4,1,2]=>[2,8,4,1,3,7,5,6]=>[4,3,1] [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,4,1,2]=>[2,8,4,1,3,7,6,5]=>[3,3,1,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,4,1,2]=>[2,8,4,1,6,3,5,7]=>[4,3,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,4,1,2]=>[2,8,4,1,6,3,7,5]=>[4,3,1] [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,4,1,2]=>[2,8,4,1,7,5,3,6]=>[4,2,1,1] [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,3,4,1,2]=>[2,8,4,1,6,7,3,5]=>[4,3,1] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,4,1,2]=>[2,8,4,1,6,7,5,3]=>[4,2,1,1] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,4,1,2]=>[2,8,4,1,6,5,7,3]=>[4,2,1,1] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,4,1,2]=>[2,8,4,1,5,6,7,3]=>[5,2,1] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,5,1,2]=>[2,8,5,3,1,4,6,7]=>[5,1,1,1] [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,5,1,2]=>[2,8,5,3,1,4,7,6]=>[4,2,1,1] [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,3,5,1,2]=>[2,8,5,3,1,7,4,6]=>[4,2,1,1] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,6,1,2]=>[2,8,6,3,4,1,7,5]=>[4,2,1,1] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,8,1,2]=>[2,8,7,3,4,5,6,1]=>[5,1,1,1] [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,3,8,1,2]=>[2,8,7,3,4,6,5,1]=>[4,1,1,1,1] [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,3,6,1,2]=>[2,8,6,5,3,1,4,7]=>[4,1,1,1,1] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,3,8,1,2]=>[2,8,7,5,3,6,4,1]=>[3,2,1,1,1] [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,8,1,2]=>[2,8,7,6,4,5,3,1]=>[3,1,1,1,1,1] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,3,8,1,2]=>[2,8,7,6,5,4,3,1]=>[2,1,1,1,1,1,1] [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,8,1,2]=>[2,8,7,5,6,3,4,1]=>[3,2,1,1,1] [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,3,8,1,2]=>[2,8,7,5,6,4,3,1]=>[3,1,1,1,1,1] [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,3,8,1,2]=>[2,8,7,5,4,6,3,1]=>[3,1,1,1,1,1] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,8,1,2]=>[2,8,7,4,5,6,3,1]=>[4,1,1,1,1] [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,5,1,2]=>[2,8,4,5,1,3,6,7]=>[5,2,1] [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,4,5,1,2]=>[2,8,4,5,1,7,3,6]=>[4,3,1] [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,5,1,2]=>[2,8,4,5,1,6,7,3]=>[5,2,1] [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,6,1,2]=>[2,8,4,6,3,1,5,7]=>[4,2,1,1] [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,4,8,1,2]=>[2,8,4,7,3,5,6,1]=>[4,2,1,1] [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,4,8,1,2]=>[2,8,4,7,3,6,5,1]=>[3,2,1,1,1] [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,7,1,2]=>[2,8,4,7,6,3,1,5]=>[3,2,1,1,1] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,8,1,2]=>[2,8,4,7,6,3,5,1]=>[3,2,1,1,1] [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,8,1,2]=>[2,8,4,7,6,5,3,1]=>[3,1,1,1,1,1] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,5,6,1,2]=>[2,8,5,3,6,1,7,4]=>[4,2,1,1] [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,7,1,2]=>[2,8,6,3,4,7,1,5]=>[4,2,1,1] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,8,1,2]=>[2,8,6,3,4,5,7,1]=>[5,1,1,1] [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,8,1,2]=>[2,8,6,3,5,4,7,1]=>[4,1,1,1,1] [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,5,6,1,2]=>[2,8,4,5,6,1,3,7]=>[5,2,1] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,6,1,2]=>[2,8,4,5,6,1,7,3]=>[5,2,1] [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,5,8,1,2]=>[2,8,4,5,7,3,6,1]=>[4,2,1,1] [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,6,7,1,2]=>[2,8,4,6,3,7,1,5]=>[4,2,1,1] [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,8,1,2]=>[2,8,4,6,5,3,7,1]=>[4,1,1,1,1] [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,6,7,1,2]=>[2,8,5,3,6,7,1,4]=>[4,2,1,1] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,8,1,2]=>[2,8,5,3,6,4,7,1]=>[4,2,1,1] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,7,8,1,2]=>[2,8,5,3,4,6,7,1]=>[5,1,1,1] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,7,8,1,2]=>[2,8,5,4,3,6,7,1]=>[4,1,1,1,1] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,7,1,2]=>[2,8,4,5,6,7,1,3]=>[5,2,1] [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,6,8,1,2]=>[2,8,4,5,6,7,3,1]=>[5,1,1,1] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,8,1,2]=>[2,8,4,5,6,3,7,1]=>[5,1,1,1] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[5,3,4,6,7,8,1,2]=>[2,8,4,5,3,6,7,1]=>[5,1,1,1] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,7,8,1,2]=>[2,8,4,3,5,6,7,1]=>[5,1,1,1] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,2]=>[2,8,3,4,5,6,7,1]=>[6,1,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,2,1,3]=>[3,1,8,2,4,5,6,7]=>[6,2] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,2,1,3]=>[3,1,8,2,4,5,7,6]=>[5,2,1] [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,2,1,3]=>[3,1,8,2,4,7,5,6]=>[5,2,1] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,2,1,3]=>[3,1,8,2,4,7,6,5]=>[4,2,1,1] [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,2,1,3]=>[3,1,8,2,6,4,5,7]=>[5,2,1] [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,2,1,3]=>[3,1,8,2,6,4,7,5]=>[4,3,1] [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,4,2,1,3]=>[3,1,8,2,7,5,4,6]=>[4,2,1,1] [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,2,1,3]=>[3,1,8,2,7,5,6,4]=>[4,2,1,1] [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,2,1,3]=>[3,1,8,2,7,6,5,4]=>[3,2,1,1,1] [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,2,1,3]=>[3,1,8,2,6,7,4,5]=>[4,3,1] [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,2,1,3]=>[3,1,8,2,6,7,5,4]=>[4,2,1,1] [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,2,1,3]=>[3,1,8,2,6,5,7,4]=>[4,2,1,1] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,2,1,3]=>[3,1,8,2,5,6,7,4]=>[5,2,1] [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,2,1,3]=>[3,1,8,5,2,4,6,7]=>[5,2,1] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,2,1,3]=>[3,1,8,5,2,7,4,6]=>[4,3,1] [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,5,2,1,3]=>[3,1,8,5,2,7,6,4]=>[3,3,1,1] [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,6,2,1,3]=>[3,1,8,6,4,2,7,5]=>[3,3,1,1] [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,2,1,3]=>[3,1,8,7,6,4,5,2]=>[3,2,1,1,1] [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,2,1,3]=>[3,1,8,7,6,5,4,2]=>[2,2,1,1,1,1] [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,8,2,1,3]=>[3,1,8,7,5,6,4,2]=>[3,2,1,1,1] [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,2,1,3]=>[3,1,8,5,6,2,4,7]=>[4,3,1] [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,2,1,3]=>[3,1,8,5,6,2,7,4]=>[4,3,1] [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,7,2,1,3]=>[3,1,8,5,7,4,2,6]=>[3,3,1,1] [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,8,2,1,3]=>[3,1,8,5,7,4,6,2]=>[3,3,1,1] [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,7,2,1,3]=>[3,1,8,6,4,7,2,5]=>[3,3,1,1] [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,2,1,3]=>[3,1,8,6,4,7,5,2]=>[3,3,1,1] [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,7,2,1,3]=>[3,1,8,5,6,7,2,4]=>[4,3,1] [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,2,1,3]=>[3,1,8,4,5,6,7,2]=>[5,2,1] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,2,1,4]=>[4,1,2,8,3,5,6,7]=>[6,2] [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,2,1,4]=>[4,1,2,8,3,7,5,6]=>[5,2,1] [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,2,1,4]=>[4,1,2,8,3,6,7,5]=>[5,2,1] [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,2,1,4]=>[4,1,2,8,6,3,5,7]=>[5,2,1] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,2,1,4]=>[4,1,2,8,6,3,7,5]=>[4,3,1] [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,2,1,4]=>[4,1,2,8,7,5,3,6]=>[4,2,1,1] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,2,1,4]=>[4,1,2,8,7,5,6,3]=>[4,2,1,1] [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,2,1,4]=>[4,1,2,8,7,6,5,3]=>[3,2,1,1,1] [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,3,2,1,4]=>[4,1,2,8,6,7,3,5]=>[4,3,1] [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,2,1,4]=>[4,1,2,8,5,6,7,3]=>[5,2,1] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,2,1,5]=>[5,1,2,3,8,4,6,7]=>[6,2] [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,2,1,5]=>[5,1,2,3,8,4,7,6]=>[5,2,1] [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,3,2,1,5]=>[5,1,2,3,8,7,4,6]=>[5,2,1] [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,3,2,1,5]=>[5,1,2,3,8,7,6,4]=>[4,2,1,1] [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,2,1,5]=>[5,1,2,3,8,6,7,4]=>[5,2,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,2,1,6]=>[6,1,2,3,4,8,5,7]=>[6,2] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,2,1,6]=>[6,1,2,3,4,8,7,5]=>[5,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,6]=>[6,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,1,8]=>[7,1,2,3,4,5,6,8]=>[7,1] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,3,2,1,8]=>[7,1,2,3,4,6,5,8]=>[6,1,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,3,2,1,7]=>[7,1,2,3,6,4,8,5]=>[5,2,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,2,1,8]=>[7,1,2,3,6,4,5,8]=>[6,1,1] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,2,1,8]=>[7,1,2,3,6,5,4,8]=>[5,1,1,1] [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,2,1,8]=>[7,1,2,3,5,6,4,8]=>[6,1,1] [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,3,2,1,6]=>[6,1,2,5,3,8,4,7]=>[5,2,1] [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,3,2,1,7]=>[7,1,2,5,3,4,8,6]=>[5,2,1] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,3,2,1,8]=>[7,1,2,5,3,4,6,8]=>[6,1,1] [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,3,2,1,8]=>[7,1,2,6,4,3,5,8]=>[5,1,1,1] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,2,1,8]=>[7,1,2,6,4,5,3,8]=>[5,1,1,1] [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,3,2,1,8]=>[7,1,2,6,5,4,3,8]=>[4,1,1,1,1] [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,3,2,1,7]=>[7,1,2,5,6,3,8,4]=>[5,2,1] [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,3,2,1,8]=>[7,1,2,5,4,6,3,8]=>[5,1,1,1] [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,2,1,8]=>[7,1,2,4,5,6,3,8]=>[6,1,1] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,2,1,5]=>[5,1,4,2,8,3,6,7]=>[5,2,1] [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,4,2,1,5]=>[5,1,4,2,8,3,7,6]=>[4,2,2] [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,2,1,5]=>[5,1,4,2,8,6,7,3]=>[4,2,2] [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,2,1,6]=>[6,1,4,2,3,8,5,7]=>[5,2,1] [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,4,2,1,7]=>[7,1,4,2,3,5,8,6]=>[5,2,1] [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,4,2,1,8]=>[7,1,4,2,3,5,6,8]=>[6,1,1] [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,2,1,7]=>[7,1,4,2,6,3,8,5]=>[4,3,1] [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,2,1,8]=>[7,1,4,2,6,3,5,8]=>[5,2,1] [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,2,1,8]=>[7,1,4,2,6,5,3,8]=>[4,2,1,1] [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,4,2,1,8]=>[7,1,4,2,5,6,3,8]=>[5,2,1] [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,5,2,1,6]=>[6,1,5,3,2,8,4,7]=>[4,2,1,1] [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,5,2,1,7]=>[7,1,5,3,2,4,8,6]=>[4,2,1,1] [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,2,1,8]=>[7,1,5,3,2,4,6,8]=>[5,1,1,1] [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,2,1,7]=>[7,1,6,3,4,2,8,5]=>[4,2,1,1] [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,6,2,1,8]=>[7,1,6,3,4,2,5,8]=>[5,1,1,1] [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,2,1,8]=>[7,1,6,3,5,4,2,8]=>[4,1,1,1,1] [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,6,2,1,8]=>[7,1,6,5,3,2,4,8]=>[4,1,1,1,1] [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,5,2,1,6]=>[6,1,4,5,2,8,3,7]=>[4,3,1] [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,2,1,6]=>[6,1,4,5,2,8,7,3]=>[4,2,2] [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,5,2,1,8]=>[7,1,4,5,2,3,6,8]=>[5,2,1] [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,2,1,8]=>[7,1,4,6,5,3,2,8]=>[4,1,1,1,1] [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,2,1,8]=>[7,1,5,3,6,4,2,8]=>[4,2,1,1] [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,2,1,7]=>[7,1,4,5,6,2,8,3]=>[5,2,1] [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,2,1,8]=>[7,1,3,4,5,6,2,8]=>[6,1,1] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,3,1,4]=>[4,3,1,8,2,5,6,7]=>[5,2,1] [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,2,3,1,4]=>[4,3,1,8,2,7,5,6]=>[4,2,2] [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,3,1,4]=>[4,3,1,8,2,6,7,5]=>[4,2,2] [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,2,3,1,4]=>[4,3,1,8,6,2,5,7]=>[4,2,2] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,2,3,1,4]=>[4,3,1,8,6,2,7,5]=>[3,3,2] [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,2,3,1,4]=>[4,3,1,8,7,5,2,6]=>[3,2,2,1] [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,2,3,1,4]=>[4,3,1,8,7,5,6,2]=>[3,2,2,1] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,2,3,1,4]=>[4,3,1,8,7,6,5,2]=>[2,2,2,1,1] [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,2,3,1,4]=>[4,3,1,8,6,7,2,5]=>[3,3,2] [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,2,3,1,4]=>[4,3,1,8,6,7,5,2]=>[3,2,2,1] [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,2,3,1,4]=>[4,3,1,8,6,5,7,2]=>[3,2,2,1] [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,3,1,4]=>[4,3,1,8,5,6,7,2]=>[4,2,2] [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,2,3,1,5]=>[5,3,1,2,8,4,6,7]=>[5,2,1] [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,2,3,1,5]=>[5,3,1,2,8,4,7,6]=>[4,2,2] [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,2,3,1,5]=>[5,3,1,2,8,7,4,6]=>[4,2,2] [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,2,3,1,5]=>[5,3,1,2,8,6,7,4]=>[4,2,2] [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,2,3,1,6]=>[6,3,1,2,4,8,5,7]=>[5,2,1] [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,2,3,1,7]=>[7,3,1,2,4,5,8,6]=>[5,2,1] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,2,3,1,8]=>[7,3,1,2,4,5,6,8]=>[6,1,1] [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,2,3,1,8]=>[7,3,1,2,4,6,5,8]=>[5,2,1] [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,2,3,1,7]=>[7,3,1,2,6,4,8,5]=>[4,3,1] [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,2,3,1,8]=>[7,3,1,2,6,4,5,8]=>[5,2,1] [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,2,3,1,8]=>[7,3,1,2,5,6,4,8]=>[5,2,1] [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,2,3,1,6]=>[6,3,1,5,2,8,4,7]=>[4,3,1] [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,2,3,1,7]=>[7,3,1,5,2,4,8,6]=>[4,3,1] [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,2,3,1,8]=>[7,3,1,5,2,4,6,8]=>[5,2,1] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,2,3,1,8]=>[7,3,1,5,2,6,4,8]=>[4,3,1] [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,2,3,1,8]=>[7,3,1,6,5,4,2,8]=>[3,2,1,1,1] [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,2,3,1,7]=>[7,3,1,5,6,2,8,4]=>[4,3,1] [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,2,3,1,8]=>[7,3,1,4,5,6,2,8]=>[5,2,1] [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,2,4,1,5]=>[5,4,2,1,8,3,6,7]=>[4,2,1,1] [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,2,4,1,5]=>[5,4,2,1,8,7,3,6]=>[3,2,2,1] [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,2,4,1,5]=>[5,4,2,1,8,7,6,3]=>[2,2,2,2] [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,2,4,1,6]=>[6,4,2,1,3,8,5,7]=>[4,2,1,1] [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,2,4,1,6]=>[6,4,2,1,3,8,7,5]=>[3,2,2,1] [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,2,4,1,8]=>[7,4,2,1,6,5,3,8]=>[3,2,2,1] [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,2,4,1,8]=>[7,4,2,1,5,6,3,8]=>[4,2,1,1] [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,2,5,1,6]=>[6,5,2,3,1,8,7,4]=>[3,2,2,1] [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,2,5,1,7]=>[7,5,2,3,1,4,8,6]=>[4,2,1,1] [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,2,5,1,8]=>[7,5,2,3,1,4,6,8]=>[5,1,1,1] [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,2,6,1,7]=>[7,6,2,3,4,1,8,5]=>[4,2,1,1] [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,2,6,1,8]=>[7,6,2,3,4,1,5,8]=>[5,1,1,1] [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,2,6,1,7]=>[7,6,2,5,3,1,8,4]=>[3,2,1,1,1] [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,2,6,1,8]=>[7,6,2,5,3,1,4,8]=>[4,1,1,1,1] [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[6,7,3,4,2,5,1,8]=>[7,5,4,2,1,6,3,8]=>[3,2,1,1,1] [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,2,6,1,8]=>[7,6,4,2,3,1,5,8]=>[4,1,1,1,1] [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,2,7,1,8]=>[7,6,4,2,5,3,1,8]=>[3,2,1,1,1] [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,2,6,1,7]=>[7,6,5,3,2,1,8,4]=>[2,2,1,1,1,1] [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[7,4,3,5,2,6,1,8]=>[7,6,5,3,2,1,4,8]=>[3,1,1,1,1,1] [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,2,7,1,8]=>[7,6,5,3,2,4,1,8]=>[3,1,1,1,1,1] [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,2,7,1,8]=>[7,6,5,3,4,2,1,8]=>[3,1,1,1,1,1] [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8]=>[2,1,1,1,1,1,1] [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,2,6,1,7]=>[7,6,4,5,2,1,8,3]=>[3,2,1,1,1] [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,2,6,1,8]=>[7,6,4,5,2,1,3,8]=>[3,2,1,1,1] [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,2,7,1,8]=>[7,6,4,5,2,3,1,8]=>[3,2,1,1,1] [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[5,3,4,6,2,7,1,8]=>[7,6,4,5,3,2,1,8]=>[3,1,1,1,1,1] [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,2,7,1,8]=>[7,6,4,3,5,2,1,8]=>[3,1,1,1,1,1] [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,2,7,1,8]=>[7,6,3,4,5,2,1,8]=>[4,1,1,1,1] [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,4,1,5]=>[5,3,4,1,8,2,6,7]=>[4,3,1] [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[7,8,6,2,3,4,1,5]=>[5,3,4,1,8,2,7,6]=>[3,3,2] [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,2,3,4,1,6]=>[6,3,4,1,2,8,5,7]=>[4,3,1] [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[7,8,5,2,3,4,1,6]=>[6,3,4,1,2,8,7,5]=>[3,3,2] [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,2,3,4,1,7]=>[7,3,4,1,2,5,8,6]=>[4,3,1] [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,3,4,1,8]=>[7,3,4,1,2,5,6,8]=>[5,2,1] [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[6,7,5,2,3,4,1,8]=>[7,3,4,1,2,6,5,8]=>[4,3,1] [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,2,3,4,1,7]=>[7,3,4,1,6,2,8,5]=>[4,3,1] [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,2,3,4,1,8]=>[7,3,4,1,6,2,5,8]=>[4,3,1] [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[6,5,7,2,3,4,1,8]=>[7,3,4,1,6,5,2,8]=>[4,2,1,1] [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,3,4,1,8]=>[7,3,4,1,5,6,2,8]=>[5,2,1] [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[7,8,4,2,3,5,1,6]=>[6,3,5,2,1,8,7,4]=>[3,2,2,1] [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,3,5,1,8]=>[7,3,5,2,1,4,6,8]=>[4,2,1,1] [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[6,7,4,2,3,5,1,8]=>[7,3,5,2,1,6,4,8]=>[4,2,1,1] [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[8,4,5,2,3,6,1,7]=>[7,3,6,5,2,1,8,4]=>[3,2,1,1,1] [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[7,4,5,2,3,6,1,8]=>[7,3,6,5,2,1,4,8]=>[3,2,1,1,1] [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,5,6,2,3,7,1,8]=>[7,3,6,4,5,2,1,8]=>[4,1,1,1,1] [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[8,7,3,2,4,5,1,6]=>[6,4,2,5,1,8,3,7]=>[3,3,1,1] [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[8,6,3,2,4,5,1,7]=>[7,4,2,5,1,3,8,6]=>[3,3,1,1] [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,2,4,5,1,8]=>[7,4,2,5,1,3,6,8]=>[4,2,1,1] [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,4,5,1,8]=>[7,4,2,5,1,6,3,8]=>[4,2,1,1] [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[6,5,3,2,4,7,1,8]=>[7,4,2,6,3,5,1,8]=>[4,2,1,1] [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,2,5,6,1,7]=>[7,5,4,2,6,1,8,3]=>[3,2,1,1,1] [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,2,6,7,1,8]=>[7,5,4,3,2,6,1,8]=>[3,1,1,1,1,1] [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[8,7,2,3,4,5,1,6]=>[6,3,4,5,1,8,2,7]=>[4,3,1] [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[8,4,2,3,5,6,1,7]=>[7,3,5,2,6,1,8,4]=>[4,2,1,1] [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,3,6,7,1,8]=>[7,3,5,2,4,6,1,8]=>[4,2,1,1] [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[4,5,2,3,6,7,1,8]=>[7,3,5,4,2,6,1,8]=>[4,1,1,1,1] [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[6,3,2,4,5,7,1,8]=>[7,4,2,5,6,3,1,8]=>[4,2,1,1] [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,5,6,7,1,8]=>[7,4,2,3,5,6,1,8]=>[5,1,1,1] [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,5,6,1,7]=>[7,3,4,5,6,1,8,2]=>[5,2,1] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]=>[6,1,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,1,2,3]=>[2,3,8,1,4,5,6,7]=>[6,2] [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,1,2,3]=>[2,3,8,1,4,5,7,6]=>[5,2,1] [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,1,2,3]=>[2,3,8,1,4,6,7,5]=>[5,2,1] [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,1,2,3]=>[2,3,8,1,6,4,7,5]=>[4,3,1] [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,1,2,3]=>[2,3,8,1,6,7,4,5]=>[4,3,1] [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,1,2,3]=>[2,3,8,1,6,7,5,4]=>[4,2,1,1] [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,1,2,3]=>[2,3,8,1,5,6,7,4]=>[5,2,1] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,1,2,3]=>[2,3,8,5,1,4,6,7]=>[5,2,1] [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,5,1,2,3]=>[2,3,8,5,1,4,7,6]=>[4,3,1] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,1,2,3]=>[2,3,8,5,1,7,4,6]=>[4,3,1] [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,6,1,2,3]=>[2,3,8,6,4,1,7,5]=>[4,2,1,1] [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,1,2,3]=>[2,3,8,7,4,5,6,1]=>[5,1,1,1] [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,1,2,3]=>[2,3,8,7,6,5,4,1]=>[3,1,1,1,1,1] [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,1,2,3]=>[2,3,8,5,6,1,4,7]=>[5,2,1] [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,1,2,3]=>[2,3,8,5,6,1,7,4]=>[5,2,1] [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,8,1,2,3]=>[2,3,8,5,7,6,4,1]=>[4,1,1,1,1] [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,8,1,2,3]=>[2,3,8,6,5,4,7,1]=>[4,1,1,1,1] [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,7,1,2,3]=>[2,3,8,5,6,7,1,4]=>[5,2,1] [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,8,1,2,3]=>[2,3,8,5,6,7,4,1]=>[5,1,1,1] [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,8,1,2,3]=>[2,3,8,5,6,4,7,1]=>[5,1,1,1] [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,8,1,2,3]=>[2,3,8,5,4,6,7,1]=>[5,1,1,1] [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,1,2,3]=>[2,3,8,4,5,6,7,1]=>[6,1,1] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,1,2,4]=>[2,4,1,8,3,5,6,7]=>[5,3] [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,1,2,4]=>[2,4,1,8,3,5,7,6]=>[4,3,1] [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,1,2,4]=>[2,4,1,8,3,7,5,6]=>[4,3,1] [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,1,2,4]=>[2,4,1,8,6,3,5,7]=>[4,3,1] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,1,2,4]=>[2,4,1,8,6,3,7,5]=>[4,3,1] [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,1,2,4]=>[2,4,1,8,7,6,5,3]=>[3,2,1,1,1] [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,3,1,2,4]=>[2,4,1,8,6,7,3,5]=>[4,3,1] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,1,2,4]=>[2,4,1,8,6,7,5,3]=>[4,2,1,1] [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,1,2,4]=>[2,4,1,8,5,6,7,3]=>[5,2,1] [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,1,2,5]=>[2,5,1,3,8,4,6,7]=>[5,3] [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,1,2,5]=>[2,5,1,3,8,4,7,6]=>[4,3,1] [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,3,1,2,5]=>[2,5,1,3,8,7,4,6]=>[4,3,1] [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,1,2,5]=>[2,5,1,3,8,6,7,4]=>[4,3,1] [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,1,2,6]=>[2,6,1,3,4,8,5,7]=>[5,3] [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,1,2,7]=>[2,7,1,3,4,5,8,6]=>[5,3] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,1,2,8]=>[2,7,1,3,4,5,6,8]=>[6,2] [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,1,2,8]=>[2,7,1,3,6,4,5,8]=>[5,2,1] [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,1,2,8]=>[2,7,1,3,6,5,4,8]=>[4,2,1,1] [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,1,2,8]=>[2,7,1,3,5,6,4,8]=>[5,2,1] [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,3,1,2,7]=>[2,7,1,5,3,4,8,6]=>[4,3,1] [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,1,2,5]=>[2,5,4,1,8,3,6,7]=>[4,3,1] [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,4,1,2,5]=>[2,5,4,1,8,3,7,6]=>[3,3,2] [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,4,1,2,5]=>[2,5,4,1,8,7,3,6]=>[3,3,2] [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,4,1,2,5]=>[2,5,4,1,8,7,6,3]=>[3,2,2,1] [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,1,2,5]=>[2,5,4,1,8,6,7,3]=>[4,2,2] [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,1,2,6]=>[2,6,4,1,3,8,5,7]=>[4,3,1] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,1,2,6]=>[2,6,4,1,3,8,7,5]=>[3,3,2] [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,4,1,2,7]=>[2,7,4,1,3,5,8,6]=>[4,3,1] [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,4,1,2,8]=>[2,7,4,1,3,6,5,8]=>[4,3,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,1,2,7]=>[2,7,4,1,6,3,8,5]=>[4,3,1] [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,5,1,2,6]=>[2,6,5,3,1,8,7,4]=>[3,2,2,1] [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,5,1,2,7]=>[2,7,5,3,1,4,8,6]=>[4,2,1,1] [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,1,2,7]=>[2,7,6,3,4,1,8,5]=>[4,2,1,1] [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,1,2,8]=>[2,7,6,3,5,4,1,8]=>[4,1,1,1,1] [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,7,1,2,8]=>[2,7,6,5,4,3,1,8]=>[3,1,1,1,1,1] [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,5,1,2,7]=>[2,7,4,5,1,3,8,6]=>[4,3,1] [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,6,1,2,7]=>[2,7,4,6,3,1,8,5]=>[4,2,1,1] [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,1,2,8]=>[2,7,4,6,5,3,1,8]=>[4,1,1,1,1] [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,1,2,8]=>[2,7,5,3,6,4,1,8]=>[4,2,1,1] [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,1,2,7]=>[2,7,4,5,6,1,8,3]=>[5,2,1] [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,1,2,8]=>[2,7,4,5,6,3,1,8]=>[5,1,1,1] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,1,2,8]=>[2,7,3,4,5,6,1,8]=>[6,1,1] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,1,3,4]=>[3,1,4,8,2,5,6,7]=>[5,3] [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,2,1,3,4]=>[3,1,4,8,2,5,7,6]=>[4,3,1] [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,2,1,3,4]=>[3,1,4,8,2,7,5,6]=>[4,3,1] [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,1,3,4]=>[3,1,4,8,2,6,7,5]=>[4,3,1] [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,2,1,3,4]=>[3,1,4,8,6,2,5,7]=>[4,3,1] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,2,1,3,4]=>[3,1,4,8,6,2,7,5]=>[4,3,1] [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,2,1,3,4]=>[3,1,4,8,7,6,5,2]=>[3,2,1,1,1] [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,2,1,3,4]=>[3,1,4,8,6,7,2,5]=>[4,3,1] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,2,1,3,4]=>[3,1,4,8,6,5,7,2]=>[4,2,1,1] [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,1,3,4]=>[3,1,4,8,5,6,7,2]=>[5,2,1] [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,2,1,3,5]=>[3,1,5,2,8,4,6,7]=>[5,3] [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,2,1,3,5]=>[3,1,5,2,8,4,7,6]=>[4,3,1] [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,2,1,3,5]=>[3,1,5,2,8,7,4,6]=>[4,3,1] [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,2,1,3,5]=>[3,1,5,2,8,7,6,4]=>[3,3,1,1] [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,2,1,3,5]=>[3,1,5,2,8,6,7,4]=>[4,3,1] [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,2,1,3,6]=>[3,1,6,2,4,8,5,7]=>[5,3] [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,2,1,3,6]=>[3,1,6,2,4,8,7,5]=>[4,3,1] [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,2,1,3,7]=>[3,1,7,2,4,5,8,6]=>[5,3] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,2,1,3,8]=>[3,1,7,2,4,5,6,8]=>[6,2] [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,2,1,3,7]=>[3,1,7,2,6,4,8,5]=>[4,3,1] [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,2,1,3,8]=>[3,1,7,2,5,6,4,8]=>[5,2,1] [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,2,1,3,6]=>[3,1,6,5,2,8,7,4]=>[3,3,2] [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,2,1,3,7]=>[3,1,7,5,2,4,8,6]=>[4,3,1] [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,2,1,3,8]=>[3,1,7,5,2,4,6,8]=>[5,2,1] [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,2,1,3,7]=>[3,1,7,6,4,2,8,5]=>[3,3,1,1] [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,2,1,3,8]=>[3,1,7,6,5,4,2,8]=>[3,2,1,1,1] [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,2,1,3,8]=>[3,1,7,5,6,2,4,8]=>[4,3,1] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,2,1,4,5]=>[4,1,2,5,8,3,6,7]=>[5,3] [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,2,1,4,5]=>[4,1,2,5,8,3,7,6]=>[4,3,1] [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,2,1,4,5]=>[4,1,2,5,8,7,3,6]=>[4,3,1] [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,2,1,4,5]=>[4,1,2,5,8,6,7,3]=>[5,2,1] [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,2,1,4,6]=>[4,1,2,6,3,8,5,7]=>[5,3] [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,2,1,4,6]=>[4,1,2,6,3,8,7,5]=>[4,3,1] [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,2,1,4,7]=>[4,1,2,7,3,5,8,6]=>[5,3] [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,2,1,4,8]=>[4,1,2,7,3,5,6,8]=>[6,2] [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,2,1,4,7]=>[4,1,2,7,6,3,8,5]=>[4,3,1] [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,2,1,4,8]=>[4,1,2,7,5,6,3,8]=>[5,2,1] [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,2,1,5,6]=>[5,1,2,3,6,8,4,7]=>[5,3] [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,2,1,5,6]=>[5,1,2,3,6,8,7,4]=>[5,2,1] [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,2,1,5,7]=>[5,1,2,3,7,4,8,6]=>[5,3] [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,3,2,1,5,8]=>[5,1,2,3,7,6,4,8]=>[5,2,1] [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,2,1,6,7]=>[6,1,2,3,4,7,8,5]=>[6,2] [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,2,1,6,8]=>[6,1,2,3,4,7,5,8]=>[6,2] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,2,1,7,8]=>[6,1,2,3,4,5,7,8]=>[7,1] [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,2,1,7,8]=>[6,1,2,3,5,4,7,8]=>[6,1,1] [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,2,1,6,7]=>[6,1,2,5,3,7,8,4]=>[5,2,1] [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,2,1,7,8]=>[6,1,2,5,3,4,7,8]=>[6,1,1] [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,2,1,5,6]=>[5,1,4,2,6,8,3,7]=>[4,3,1] [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,2,1,5,6]=>[5,1,4,2,6,8,7,3]=>[4,2,2] [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,2,1,5,7]=>[5,1,4,2,7,3,8,6]=>[4,3,1] [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,2,1,5,8]=>[5,1,4,2,7,3,6,8]=>[5,2,1] [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,2,1,7,8]=>[6,1,4,2,3,5,7,8]=>[6,1,1] [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,2,1,6,7]=>[6,1,4,5,2,7,8,3]=>[5,2,1] [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,2,1,6,8]=>[6,1,4,5,2,7,3,8]=>[5,2,1] [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[5,3,4,6,2,1,7,8]=>[6,1,4,5,3,2,7,8]=>[5,1,1,1] [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,2,1,7,8]=>[6,1,3,4,5,2,7,8]=>[6,1,1] [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,1,4,5]=>[4,3,1,5,8,2,6,7]=>[4,3,1] [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[7,8,6,2,3,1,4,5]=>[4,3,1,5,8,2,7,6]=>[3,3,2] [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[7,6,8,2,3,1,4,5]=>[4,3,1,5,8,7,6,2]=>[3,2,2,1] [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,3,1,4,5]=>[4,3,1,5,8,6,7,2]=>[4,2,2] [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,2,3,1,4,6]=>[4,3,1,6,2,8,5,7]=>[4,3,1] [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,2,3,1,4,7]=>[4,3,1,7,2,5,8,6]=>[4,3,1] [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,2,3,1,4,7]=>[4,3,1,7,6,2,8,5]=>[3,3,2] [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,2,3,1,4,8]=>[4,3,1,7,6,2,5,8]=>[4,2,2] [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,3,1,5,7]=>[5,3,1,2,7,4,8,6]=>[4,3,1] [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,3,1,5,8]=>[5,3,1,2,7,4,6,8]=>[5,2,1] [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[8,5,4,2,3,1,6,7]=>[6,3,1,2,4,7,8,5]=>[5,2,1] [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[7,5,4,2,3,1,6,8]=>[6,3,1,2,4,7,5,8]=>[5,2,1] [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[6,5,4,2,3,1,7,8]=>[6,3,1,2,4,5,7,8]=>[6,1,1] [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[8,4,5,2,3,1,6,7]=>[6,3,1,5,2,7,8,4]=>[4,3,1] [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[8,7,3,2,4,1,5,6]=>[5,4,2,1,6,8,3,7]=>[3,3,1,1] [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,4,1,5,6]=>[5,4,2,1,6,8,7,3]=>[3,2,2,1] [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,4,1,5,8]=>[5,4,2,1,7,6,3,8]=>[3,2,2,1] [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[8,5,3,2,4,1,6,7]=>[6,4,2,1,3,7,8,5]=>[4,2,1,1] [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[6,5,3,2,4,1,7,8]=>[6,4,2,1,3,5,7,8]=>[5,1,1,1] [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[5,6,3,2,4,1,7,8]=>[6,4,2,1,5,3,7,8]=>[4,2,1,1] [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,6,1,7,8]=>[6,5,2,3,4,1,7,8]=>[5,1,1,1] [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[6,3,4,2,5,1,7,8]=>[6,5,4,2,1,3,7,8]=>[4,1,1,1,1] [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,2,6,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,1,1,1,1,1] [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[8,7,2,3,4,1,5,6]=>[5,3,4,1,6,8,2,7]=>[4,3,1] [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[8,6,2,3,4,1,5,7]=>[5,3,4,1,7,2,8,6]=>[4,3,1] [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[8,5,2,3,4,1,6,7]=>[6,3,4,1,2,7,8,5]=>[4,3,1] [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,6,2,3,4,1,7,8]=>[6,3,4,1,5,2,7,8]=>[5,2,1] [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[7,4,2,3,5,1,6,8]=>[6,3,5,2,1,7,4,8]=>[4,2,1,1] [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[6,4,2,3,5,1,7,8]=>[6,3,5,2,1,4,7,8]=>[4,2,1,1] [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,3,6,1,7,8]=>[6,3,5,2,4,1,7,8]=>[4,2,1,1] [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[7,3,2,4,5,1,6,8]=>[6,4,2,5,1,7,3,8]=>[4,2,1,1] [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[4,1,1,1,1] [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,5,1,6,7]=>[6,3,4,5,1,7,8,2]=>[5,2,1] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]=>[6,1,1] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,1,2,3,4]=>[2,3,4,8,1,5,6,7]=>[6,2] [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,1,2,3,4]=>[2,3,4,8,1,5,7,6]=>[5,2,1] [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,1,2,3,4]=>[2,3,4,8,1,7,5,6]=>[5,2,1] [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,1,2,3,4]=>[2,3,4,8,1,7,6,5]=>[4,2,1,1] [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,1,2,3,4]=>[2,3,4,8,1,6,7,5]=>[5,2,1] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,1,2,3,4]=>[2,3,4,8,6,1,5,7]=>[5,2,1] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,1,2,3,4]=>[2,3,4,8,6,1,7,5]=>[5,2,1] [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,1,2,3,4]=>[2,3,4,8,7,5,1,6]=>[5,1,1,1] [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,1,2,3,4]=>[2,3,4,8,7,5,6,1]=>[5,1,1,1] [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,1,2,3,4]=>[2,3,4,8,7,6,5,1]=>[4,1,1,1,1] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,1,2,3,4]=>[2,3,4,8,6,7,1,5]=>[5,2,1] [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,1,2,3,4]=>[2,3,4,8,6,7,5,1]=>[5,1,1,1] [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,1,2,3,4]=>[2,3,4,8,6,5,7,1]=>[5,1,1,1] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>[2,3,4,8,5,6,7,1]=>[6,1,1] [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,1,2,3,5]=>[2,3,5,1,8,4,6,7]=>[5,3] [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,1,2,3,5]=>[2,3,5,1,8,4,7,6]=>[4,3,1] [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,1,2,3,5]=>[2,3,5,1,8,7,4,6]=>[4,3,1] [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,1,2,3,6]=>[2,3,6,1,4,8,5,7]=>[5,3] [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,1,2,3,6]=>[2,3,6,1,4,8,7,5]=>[4,3,1] [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,1,2,3,7]=>[2,3,7,1,4,5,8,6]=>[5,3] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,1,2,3,8]=>[2,3,7,1,4,5,6,8]=>[6,2] [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,1,2,3,7]=>[2,3,7,1,6,4,8,5]=>[4,3,1] [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,1,2,3,8]=>[2,3,7,1,6,5,4,8]=>[4,2,1,1] [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,1,2,3,8]=>[2,3,7,1,5,6,4,8]=>[5,2,1] [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,1,2,3,6]=>[2,3,6,5,1,8,4,7]=>[4,3,1] [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,1,2,3,6]=>[2,3,6,5,1,8,7,4]=>[4,2,2] [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,1,2,3,7]=>[2,3,7,5,1,4,8,6]=>[4,3,1] [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,1,2,3,8]=>[2,3,7,6,5,4,1,8]=>[4,1,1,1,1] [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,1,2,3,7]=>[2,3,7,5,6,1,8,4]=>[5,2,1] [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,1,2,3,8]=>[2,3,7,5,6,4,1,8]=>[5,1,1,1] [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,1,2,3,8]=>[2,3,7,5,4,6,1,8]=>[5,1,1,1] [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,1,2,4,5]=>[2,4,1,5,8,3,6,7]=>[5,3] [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,1,2,4,5]=>[2,4,1,5,8,3,7,6]=>[4,3,1] [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,1,2,4,5]=>[2,4,1,5,8,7,3,6]=>[4,3,1] [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,1,2,4,5]=>[2,4,1,5,8,7,6,3]=>[4,2,1,1] [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,1,2,4,6]=>[2,4,1,6,3,8,5,7]=>[4,4] [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,1,2,4,7]=>[2,4,1,7,3,5,8,6]=>[4,4] [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,1,2,4,7]=>[2,4,1,7,6,3,8,5]=>[4,3,1] [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,1,2,4,8]=>[2,4,1,7,5,6,3,8]=>[5,2,1] [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,1,2,5,6]=>[2,5,1,3,6,8,4,7]=>[4,4] [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,1,2,5,6]=>[2,5,1,3,6,8,7,4]=>[4,3,1] [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,1,2,5,7]=>[2,5,1,3,7,4,8,6]=>[4,4] [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,3,1,2,5,8]=>[2,5,1,3,7,6,4,8]=>[4,3,1] [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,1,2,6,7]=>[2,6,1,3,4,7,8,5]=>[5,3] [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,1,2,6,8]=>[2,6,1,3,4,7,5,8]=>[5,3] [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,1,2,7,8]=>[2,6,1,3,4,5,7,8]=>[6,2] [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,1,2,7,8]=>[2,6,1,3,5,4,7,8]=>[5,2,1] [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,1,2,7,8]=>[2,6,1,5,3,4,7,8]=>[5,2,1] [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,1,2,7,8]=>[2,6,1,5,4,3,7,8]=>[4,2,1,1] [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,1,2,5,6]=>[2,5,4,1,6,8,3,7]=>[4,3,1] [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,1,2,5,7]=>[2,5,4,1,7,3,8,6]=>[4,3,1] [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,1,2,6,7]=>[2,6,4,1,3,7,8,5]=>[4,3,1] [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,1,2,7,8]=>[2,6,4,1,3,5,7,8]=>[5,2,1] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,1,2,7,8]=>[2,6,4,1,5,3,7,8]=>[5,2,1] [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,1,2,7,8]=>[2,6,5,3,4,1,7,8]=>[5,1,1,1] [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,1,2,6,7]=>[2,6,4,5,1,7,8,3]=>[5,2,1] [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,1,2,7,8]=>[2,6,4,5,1,3,7,8]=>[5,2,1] [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,1,2,7,8]=>[2,6,3,4,5,1,7,8]=>[6,1,1] [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,1,3,4,5]=>[3,1,4,5,8,2,6,7]=>[5,3] [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[8,6,7,2,1,3,4,5]=>[3,1,4,5,8,7,2,6]=>[4,3,1] [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,2,1,3,4,6]=>[3,1,4,6,2,8,5,7]=>[4,4] [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[7,8,5,2,1,3,4,6]=>[3,1,4,6,2,8,7,5]=>[4,3,1] [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,2,1,3,4,7]=>[3,1,4,7,2,5,8,6]=>[4,4] [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,2,1,3,4,7]=>[3,1,4,7,6,2,8,5]=>[4,3,1] [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,2,1,3,4,8]=>[3,1,4,7,6,2,5,8]=>[4,3,1] [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,1,3,4,8]=>[3,1,4,7,5,6,2,8]=>[5,2,1] [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[8,7,4,2,1,3,5,6]=>[3,1,5,2,6,8,4,7]=>[4,4] [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,1,3,5,7]=>[3,1,5,2,7,4,8,6]=>[4,4] [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,1,3,5,8]=>[3,1,5,2,7,4,6,8]=>[5,3] [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[8,5,4,2,1,3,6,7]=>[3,1,6,2,4,7,8,5]=>[5,3] [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[5,6,4,2,1,3,7,8]=>[3,1,6,2,5,4,7,8]=>[5,2,1] [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[8,4,5,2,1,3,6,7]=>[3,1,6,5,2,7,8,4]=>[4,3,1] [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[5,4,6,2,1,3,7,8]=>[3,1,6,5,4,2,7,8]=>[4,2,1,1] [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[8,7,3,2,1,4,5,6]=>[4,1,2,5,6,8,3,7]=>[5,3] [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,1,4,5,6]=>[4,1,2,5,6,8,7,3]=>[5,2,1] [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[8,6,3,2,1,4,5,7]=>[4,1,2,5,7,3,8,6]=>[5,3] [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,2,1,4,5,8]=>[4,1,2,5,7,3,6,8]=>[5,3] [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,1,4,5,8]=>[4,1,2,5,7,6,3,8]=>[5,2,1] [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[8,5,3,2,1,4,6,7]=>[4,1,2,6,3,7,8,5]=>[5,3] [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,2,1,4,6,8]=>[4,1,2,6,3,7,5,8]=>[5,3] [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[5,6,3,2,1,4,7,8]=>[4,1,2,6,5,3,7,8]=>[5,2,1] [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[8,4,3,2,1,5,6,7]=>[5,1,2,3,6,7,8,4]=>[6,2] [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[7,4,3,2,1,5,6,8]=>[5,1,2,3,6,7,4,8]=>[6,2] [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[6,4,3,2,1,5,7,8]=>[5,1,2,3,6,4,7,8]=>[6,2] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,1,6,7,8]=>[5,1,2,3,4,6,7,8]=>[7,1] [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,3,2,1,6,7,8]=>[5,1,2,4,3,6,7,8]=>[6,1,1] [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,2,1,5,6,7]=>[5,1,4,2,6,7,8,3]=>[5,2,1] [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[5,3,4,2,1,6,7,8]=>[5,1,4,2,3,6,7,8]=>[6,1,1] [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,2,1,6,7,8]=>[5,1,4,3,2,6,7,8]=>[5,1,1,1] [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,1,6,7,8]=>[5,1,3,4,2,6,7,8]=>[6,1,1] [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[8,6,2,3,1,4,5,7]=>[4,3,1,5,7,2,8,6]=>[4,3,1] [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[8,4,2,3,1,5,6,7]=>[5,3,1,2,6,7,8,4]=>[5,2,1] [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,3,1,6,7,8]=>[5,3,1,2,4,6,7,8]=>[6,1,1] [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,5,2,3,1,6,7,8]=>[5,3,1,4,2,6,7,8]=>[5,2,1] [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,4,1,5,6,7]=>[5,4,2,1,6,7,8,3]=>[4,2,1,1] [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[6,3,2,4,1,5,7,8]=>[5,4,2,1,6,3,7,8]=>[4,2,1,1] [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,5,1,6,7,8]=>[5,4,2,3,1,6,7,8]=>[5,1,1,1] [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,1,1,1,1] [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,1,5,6,7]=>[5,3,4,1,6,7,8,2]=>[5,2,1] [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[6,2,3,4,1,5,7,8]=>[5,3,4,1,6,2,7,8]=>[5,2,1] [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,5,1,6,7,8]=>[5,3,4,2,1,6,7,8]=>[5,1,1,1] [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[5,1,1,1] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[6,1,1] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,1,2,3,4,5]=>[2,3,4,5,8,1,6,7]=>[6,2] [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[7,8,6,1,2,3,4,5]=>[2,3,4,5,8,1,7,6]=>[5,2,1] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[8,6,7,1,2,3,4,5]=>[2,3,4,5,8,7,1,6]=>[5,2,1] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[7,6,8,1,2,3,4,5]=>[2,3,4,5,8,7,6,1]=>[5,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,1,2,3,4,5]=>[2,3,4,5,8,6,7,1]=>[6,1,1] [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,1,2,3,4,6]=>[2,3,4,6,1,8,5,7]=>[5,3] [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[7,8,5,1,2,3,4,6]=>[2,3,4,6,1,8,7,5]=>[5,2,1] [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,1,2,3,4,7]=>[2,3,4,7,1,5,8,6]=>[5,3] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,1,2,3,4,8]=>[2,3,4,7,1,5,6,8]=>[6,2] [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[6,7,5,1,2,3,4,8]=>[2,3,4,7,1,6,5,8]=>[5,2,1] [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,1,2,3,4,7]=>[2,3,4,7,6,1,8,5]=>[5,2,1] [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,1,2,3,4,8]=>[2,3,4,7,6,1,5,8]=>[5,2,1] [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[6,5,7,1,2,3,4,8]=>[2,3,4,7,6,5,1,8]=>[5,1,1,1] [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,1,2,3,4,8]=>[2,3,4,7,5,6,1,8]=>[6,1,1] [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[8,7,4,1,2,3,5,6]=>[2,3,5,1,6,8,4,7]=>[5,3] [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,1,2,3,5,7]=>[2,3,5,1,7,4,8,6]=>[5,3] [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[8,5,4,1,2,3,6,7]=>[2,3,6,1,4,7,8,5]=>[5,3] [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[6,5,4,1,2,3,7,8]=>[2,3,6,1,4,5,7,8]=>[6,2] [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,6,4,1,2,3,7,8]=>[2,3,6,1,5,4,7,8]=>[5,2,1] [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[8,4,5,1,2,3,6,7]=>[2,3,6,5,1,7,8,4]=>[5,2,1] [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[4,5,6,1,2,3,7,8]=>[2,3,6,4,5,1,7,8]=>[6,1,1] [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[8,5,3,1,2,4,6,7]=>[2,4,1,6,3,7,8,5]=>[5,3] [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,1,2,4,6,8]=>[2,4,1,6,3,7,5,8]=>[5,3] [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[6,5,3,1,2,4,7,8]=>[2,4,1,6,3,5,7,8]=>[5,3] [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,6,3,1,2,4,7,8]=>[2,4,1,6,5,3,7,8]=>[5,2,1] [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[8,4,3,1,2,5,6,7]=>[2,5,1,3,6,7,8,4]=>[5,3] [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[6,4,3,1,2,5,7,8]=>[2,5,1,3,6,4,7,8]=>[5,3] [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,1,2,6,7,8]=>[2,5,1,3,4,6,7,8]=>[6,2] [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,1,2,5,6,7]=>[2,5,4,1,6,7,8,3]=>[5,2,1] [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[6,3,4,1,2,5,7,8]=>[2,5,4,1,6,3,7,8]=>[5,2,1] [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,3,4,1,2,6,7,8]=>[2,5,4,1,3,6,7,8]=>[5,2,1] [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,1,2,6,7,8]=>[2,5,4,3,1,6,7,8]=>[5,1,1,1] [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,1,2,6,7,8]=>[2,5,3,4,1,6,7,8]=>[6,1,1] [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[8,7,2,1,3,4,5,6]=>[3,1,4,5,6,8,2,7]=>[5,3] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,1,3,4,5,6]=>[3,1,4,5,6,8,7,2]=>[5,2,1] [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[8,5,2,1,3,4,6,7]=>[3,1,4,6,2,7,8,5]=>[5,3] [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,6,2,1,3,4,7,8]=>[3,1,4,6,5,2,7,8]=>[5,2,1] [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[8,4,2,1,3,5,6,7]=>[3,1,5,2,6,7,8,4]=>[5,3] [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,1,4,5,6,7]=>[4,1,2,5,6,7,8,3]=>[6,2] [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[7,3,2,1,4,5,6,8]=>[4,1,2,5,6,7,3,8]=>[6,2] [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[6,3,2,1,4,5,7,8]=>[4,1,2,5,6,3,7,8]=>[6,2] [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,1,4,6,7,8]=>[4,1,2,5,3,6,7,8]=>[6,2] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,1,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[7,1] [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,1,5,6,7,8]=>[4,1,3,2,5,6,7,8]=>[6,1,1] [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,1,4,5,6,7]=>[4,3,1,5,6,7,8,2]=>[5,2,1] [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,1,5,6,7,8]=>[4,3,1,2,5,6,7,8]=>[6,1,1] [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[5,1,1,1] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[6,1,1] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[8,7,1,2,3,4,5,6]=>[2,3,4,5,6,8,1,7]=>[6,2] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[7,8,1,2,3,4,5,6]=>[2,3,4,5,6,8,7,1]=>[6,1,1] [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[8,6,1,2,3,4,5,7]=>[2,3,4,5,7,1,8,6]=>[6,2] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[7,6,1,2,3,4,5,8]=>[2,3,4,5,7,1,6,8]=>[6,2] [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,7,1,2,3,4,5,8]=>[2,3,4,5,7,6,1,8]=>[6,1,1] [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[8,5,1,2,3,4,6,7]=>[2,3,4,6,1,7,8,5]=>[6,2] [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,5,1,2,3,4,7,8]=>[2,3,4,6,1,5,7,8]=>[6,2] [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[8,4,1,2,3,5,6,7]=>[2,3,5,1,6,7,8,4]=>[6,2] [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[5,4,1,2,3,6,7,8]=>[2,3,5,1,4,6,7,8]=>[6,2] [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[4,5,1,2,3,6,7,8]=>[2,3,5,4,1,6,7,8]=>[6,1,1] [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[8,3,1,2,4,5,6,7]=>[2,4,1,5,6,7,8,3]=>[6,2] [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[7,3,1,2,4,5,6,8]=>[2,4,1,5,6,7,3,8]=>[6,2] [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,3,1,2,4,5,7,8]=>[2,4,1,5,6,3,7,8]=>[6,2] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[5,3,1,2,4,6,7,8]=>[2,4,1,5,3,6,7,8]=>[6,2] [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[4,3,1,2,5,6,7,8]=>[2,4,1,3,5,6,7,8]=>[6,2] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8]=>[2,4,3,1,5,6,7,8]=>[6,1,1] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[8,2,1,3,4,5,6,7]=>[3,1,4,5,6,7,8,2]=>[6,2] [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[7,2,1,3,4,5,6,8]=>[3,1,4,5,6,7,2,8]=>[6,2] [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[5,2,1,3,4,6,7,8]=>[3,1,4,5,2,6,7,8]=>[6,2] [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[4,2,1,3,5,6,7,8]=>[3,1,4,2,5,6,7,8]=>[6,2] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[7,1] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[6,1,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,8,1]=>[7,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1,2,3,4,5,6,8]=>[2,3,4,5,6,7,1,8]=>[7,1] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[6,1,2,3,4,5,7,8]=>[2,3,4,5,6,1,7,8]=>[7,1] [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[5,1,2,3,4,6,7,8]=>[2,3,4,5,1,6,7,8]=>[7,1] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[4,1,2,3,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[7,1] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[7,1] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[7,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8] [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]=>[2,3,4,5,6,7,8,9,1]=>[8,1] [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]=>[9,2,3,4,5,6,7,8,1]=>[7,1,1] [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]=>[2,3,4,5,6,7,8,9,10,1]=>[9,1] [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]=>[3,1,4,5,6,7,8,9,2]=>[7,2] [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]=>[9,3,2,4,5,6,7,8,1]=>[6,1,1,1] [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]=>[10,2,3,4,5,6,7,8,9,1]=>[8,1,1] [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]=>[2,3,4,5,6,7,8,9,10,11,1]=>[10,1] [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]=>[3,1,4,5,6,7,8,9,10,2]=>[8,2] [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]=>[2,4,1,5,6,7,8,9,3]=>[7,2] [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]=>[4,3,1,5,6,7,8,9,2]=>[6,2,1] [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]=>[9,3,4,2,5,6,7,8,1]=>[6,1,1,1] [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]=>[9,4,3,2,5,6,7,8,1]=>[5,1,1,1,1] [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]=>[10,3,2,4,5,6,7,8,9,1]=>[7,1,1,1] [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]=>[11,2,3,4,5,6,7,8,9,10,1]=>[9,1,1] [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[11,1] [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]=>[10,3,1,2,4,5,6,7,8,9]=>[2,4,1,5,6,7,8,9,10,3]=>[8,2] [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,3,1,4,5,6,7,8,9]=>[4,3,1,5,6,7,8,9,10,2]=>[7,2,1] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]=>[9,4,1,2,3,5,6,7,8]=>[2,3,5,1,6,7,8,9,4]=>[7,2] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[9,3,2,1,4,5,6,7,8]=>[4,1,2,5,6,7,8,9,3]=>[7,2] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,4,1,5,6,7,8]=>[5,3,4,1,6,7,8,9,2]=>[6,2,1] [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0]=>[11,3,1,2,4,5,6,7,8,9,10]=>[2,4,1,5,6,7,8,9,10,11,3]=>[9,2] [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0]=>[10,4,1,2,3,5,6,7,8,9]=>[2,3,5,1,6,7,8,9,10,4]=>[8,2] [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]=>[10,3,2,1,4,5,6,7,8,9]=>[4,1,2,5,6,7,8,9,10,3]=>[8,2] [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,3,4,1,5,6,7,8,9]=>[5,3,4,1,6,7,8,9,10,2]=>[7,2,1] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,4,5,1,6,7,8]=>[6,3,4,5,1,7,8,9,2]=>[6,2,1] [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,3,4,5,1,6,7,8,9]=>[6,3,4,5,1,7,8,9,10,2]=>[7,2,1] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]=>[9,6,1,2,3,4,5,7,8]=>[2,3,4,5,7,1,8,9,6]=>[7,2] [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]=>[9,4,3,1,2,5,6,7,8]=>[2,5,1,3,6,7,8,9,4]=>[6,3] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,4,5,6,1,7,8]=>[7,3,4,5,6,1,8,9,2]=>[6,2,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0]=>[10,6,1,2,3,4,5,7,8,9]=>[2,3,4,5,7,1,8,9,10,6]=>[8,2] [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,3,4,5,6,1,7,8,9]=>[7,3,4,5,6,1,8,9,10,2]=>[7,2,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[9,7,1,2,3,4,5,6,8]=>[2,3,4,5,6,8,1,9,7]=>[7,2] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[9,4,3,2,1,5,6,7,8]=>[5,1,2,3,6,7,8,9,4]=>[7,2] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,4,5,6,7,1,8]=>[8,3,4,5,6,7,1,9,2]=>[6,2,1] [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]=>[2,3,4,5,6,7,9,8,1]=>[7,1,1] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[8,2,3,4,5,6,7,9,1]=>[9,3,4,5,6,7,8,2,1]=>[6,1,1,1] [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]=>[2,9,3,4,5,6,7,8,1]=>[7,1,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0]=>[10,7,1,2,3,4,5,6,8,9]=>[2,3,4,5,6,8,1,9,10,7]=>[8,2] [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[10,4,3,2,1,5,6,7,8,9]=>[5,1,2,3,6,7,8,9,10,4]=>[8,2] [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,3,4,5,6,7,1,8,9]=>[8,3,4,5,6,7,1,9,10,2]=>[7,2,1] [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]=>[2,3,4,5,6,7,9,1,8]=>[7,2] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,4,5,6,7,8,1]=>[9,3,4,5,6,7,8,1,2]=>[6,2,1] [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,5,6,7,8,9,1,2]=>[2,9,4,3,5,6,7,8,1]=>[6,1,1,1] [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,2,1]=>[9,1,3,4,5,6,7,8,2]=>[7,1,1] [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,3,4,5,6,7,8,1,9]=>[9,3,4,5,6,7,8,1,10,2]=>[7,2,1] [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]=>[2,3,4,5,6,7,8,10,9,1]=>[8,1,1] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>[9,8,2,1,3,4,5,6,7]=>[3,1,4,5,6,7,9,2,8]=>[6,3] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[9,2,3,4,5,6,7,8,10,1]=>[10,3,4,5,6,7,8,9,2,1]=>[7,1,1,1] [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]=>[2,10,3,4,5,6,7,8,9,1]=>[8,1,1] [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]=>[2,3,4,5,6,7,8,10,1,9]=>[8,2] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,3,4,5,6,7,8,9,1]=>[10,3,4,5,6,7,8,9,1,2]=>[7,2,1] [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,2,1]=>[10,1,3,4,5,6,7,8,9,2]=>[8,1,1] []=>[]=>[]=>[] [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]=>[8,1,2,3,4,5,6,7,9]=>[8,1] [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]=>[8,1,2,3,4,5,7,6,9]=>[7,1,1] [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]=>[8,1,2,3,4,7,6,5,9]=>[6,1,1,1] [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]=>[8,1,2,5,3,4,6,7,9]=>[7,1,1] [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]=>[8,1,2,6,4,3,5,7,9]=>[6,1,1,1] [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[5,4,6,3,7,2,8,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,1,1,1,1,1,1,1] [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]=>[8,2,3,4,5,6,7,1,9]=>[7,1,1] [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]=>[2,8,1,3,4,5,6,7,9]=>[7,2] [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]=>[2,8,4,1,6,3,7,5,9]=>[5,3,1] [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,2,9]=>[2,8,3,4,5,6,7,1,9]=>[7,1,1] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[8,6,5,4,3,2,1,7,9]=>[7,1,2,3,4,5,8,6,9]=>[7,2] [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]=>[7,1,2,3,4,5,6,8,9]=>[8,1] [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]=>[7,2,3,4,5,6,1,8,9]=>[7,1,1] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[7,5,4,3,2,1,6,8,9]=>[6,1,2,3,4,7,5,8,9]=>[7,2] [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]=>[6,1,2,3,4,5,7,8,9]=>[8,1] [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[4,3,5,2,6,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[4,1,1,1,1,1] [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]=>[2,3,4,8,5,6,7,1,9]=>[7,1,1] [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]=>[2,6,4,1,5,3,7,8,9]=>[6,2,1] [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[6,4,3,2,1,5,7,8,9]=>[5,1,2,3,6,4,7,8,9]=>[7,2] [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]=>[5,1,2,3,4,6,7,8,9]=>[8,1] [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[3,4,2,5,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,1,1,1,1] [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]=>[2,3,6,4,5,1,7,8,9]=>[7,1,1] [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[5,3,2,1,4,6,7,8,9]=>[4,1,2,5,3,6,7,8,9]=>[7,2] [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]=>[4,1,2,3,5,6,7,8,9]=>[8,1] [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[3,2,4,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[6,1,1,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[8,7,1,2,3,4,5,6,9]=>[2,3,4,5,6,8,1,7,9]=>[7,2] [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]=>[2,3,4,5,6,8,7,1,9]=>[7,1,1] [1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>[5,4,1,2,3,6,7,8,9]=>[2,3,5,1,4,6,7,8,9]=>[7,2] [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[5,3,1,2,4,6,7,8,9]=>[2,4,1,5,3,6,7,8,9]=>[7,2] [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[4,3,1,2,5,6,7,8,9]=>[2,4,1,3,5,6,7,8,9]=>[7,2] [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]=>[2,4,3,1,5,6,7,8,9]=>[7,1,1] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[8,2,1,3,4,5,6,7,9]=>[3,1,4,5,6,7,8,2,9]=>[7,2] [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[4,2,1,3,5,6,7,8,9]=>[3,1,4,2,5,6,7,8,9]=>[7,2] [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]=>[3,1,2,4,5,6,7,8,9]=>[8,1] [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[2,3,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[7,1,1] [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]=>[2,3,4,5,6,7,8,1,9]=>[8,1] [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]=>[2,3,4,5,6,7,1,8,9]=>[8,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[6,1,2,3,4,5,7,8,9]=>[2,3,4,5,6,1,7,8,9]=>[8,1] [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[5,1,2,3,4,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]=>[8,1] [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[4,1,2,3,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]=>[8,1] [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]=>[8,1] [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]=>[2,1,3,4,5,6,7,8,9]=>[8,1] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[9] [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]=>[9,1,2,3,4,5,6,7,8]=>[8,1] [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]=>[9,1,2,3,4,5,6,8,7]=>[7,1,1] [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]=>[9,1,2,3,4,5,8,7,6]=>[6,1,1,1] [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]=>[9,1,2,3,4,8,6,7,5]=>[6,1,1,1] [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]=>[9,1,2,3,8,5,6,7,4]=>[6,1,1,1] [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]=>[9,1,2,8,4,5,6,7,3]=>[6,1,1,1] [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]=>[9,1,8,3,4,5,6,7,2]=>[6,1,1,1] [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]=>[9,8,2,3,4,5,6,7,1]=>[6,1,1,1] [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]=>[10,1,2,3,4,5,6,7,8,9]=>[9,1] [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]=>[10,1,2,3,4,5,6,7,9,8]=>[8,1,1] [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]=>[9,1,2,3,4,5,7,8,6]=>[7,1,1] [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]=>[10,1,2,3,4,5,6,9,8,7]=>[7,1,1,1] [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]=>[9,1,2,3,4,7,8,6,5]=>[6,1,1,1] [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]=>[10,1,2,3,4,5,9,7,8,6]=>[7,1,1,1] [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]=>[9,1,2,3,6,8,5,7,4]=>[5,2,1,1] [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]=>[10,1,2,3,4,9,6,7,8,5]=>[7,1,1,1] [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]=>[9,1,2,5,8,4,6,7,3]=>[5,2,1,1] [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]=>[10,1,2,3,9,5,6,7,8,4]=>[7,1,1,1] [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]=>[9,1,4,8,3,5,6,7,2]=>[5,2,1,1] [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]=>[10,1,2,9,4,5,6,7,8,3]=>[7,1,1,1] [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]=>[9,3,8,2,4,5,6,7,1]=>[5,2,1,1] [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]=>[10,1,9,3,4,5,6,7,8,2]=>[7,1,1,1] [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]=>[10,9,2,3,4,5,6,7,8,1]=>[7,1,1,1] [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]=>[9,1,2,3,4,5,6,7,8,10]=>[9,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[11,10,9,8,7,6,5,4,3,2,1]=>[11,1,2,3,4,5,6,7,8,9,10]=>[10,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,9,8,7,6,5,4,3,2,11,1]=>[11,10,2,3,4,5,6,7,8,9,1]=>[8,1,1,1] [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]=>[10,1,2,3,4,5,6,7,8,9,11]=>[10,1] [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]=>[10,1,2,3,4,6,7,8,9,5]=>[8,1,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[9,7,8,6,5,4,3,2,1]=>[9,1,2,3,4,5,8,6,7]=>[7,1,1] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[9,8,3,4,5,6,7,2,1]=>[9,1,4,5,6,7,2,3,8]=>[6,2,1] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[9,3,4,5,6,7,8,2,1]=>[9,1,4,5,6,7,8,2,3]=>[6,2,1] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,2,3,1]=>[9,3,1,2,4,5,6,7,8]=>[7,1,1] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,2,3,4,1]=>[9,3,4,1,2,5,6,7,8]=>[6,2,1] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[9,8,2,3,4,5,6,7,1]=>[9,3,4,5,6,7,1,2,8]=>[6,2,1] [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]=>[2,9,1,3,4,5,6,7,8]=>[7,2] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[9,7,8,6,5,4,3,1,2]=>[2,9,1,3,4,5,8,6,7]=>[6,2,1] [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]=>[2,9,4,1,3,5,6,7,8]=>[6,2,1] [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]=>[2,9,4,1,6,3,5,7,8]=>[5,3,1] [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]=>[2,9,4,1,6,3,8,5,7]=>[4,4,1] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[9,3,4,5,6,7,8,1,2]=>[2,9,4,5,6,7,8,1,3]=>[6,2,1] [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]=>[2,3,9,1,4,5,6,7,8]=>[7,2] [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]=>[2,3,9,5,1,4,6,7,8]=>[6,2,1] [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]=>[2,3,9,5,1,7,4,8,6]=>[5,3,1] [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]=>[2,3,9,5,6,1,4,7,8]=>[6,2,1] [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]=>[2,3,9,5,6,1,7,8,4]=>[6,2,1] [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,5,6,7,8,9,1,2,3]=>[2,3,9,4,5,6,7,8,1]=>[7,1,1] [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]=>[2,3,4,9,1,5,6,7,8]=>[7,2] [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]=>[2,3,4,9,6,1,5,7,8]=>[6,2,1] [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]=>[2,3,4,9,6,1,8,5,7]=>[5,3,1] [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]=>[2,3,4,9,6,7,1,5,8]=>[6,2,1] [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]=>[2,3,4,9,6,7,1,8,5]=>[6,2,1] [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]=>[2,3,4,9,6,7,8,1,5]=>[6,2,1] [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,9,1,2,3,4]=>[2,3,4,9,5,6,7,8,1]=>[7,1,1] [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]=>[2,3,4,5,9,1,6,7,8]=>[7,2] [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]=>[2,3,4,5,9,7,1,6,8]=>[6,2,1] [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]=>[2,3,4,5,9,7,8,1,6]=>[6,2,1] [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]=>[2,3,4,5,9,6,7,8,1]=>[7,1,1] [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]=>[2,3,4,5,6,9,1,7,8]=>[7,2] [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]=>[2,3,4,5,6,9,8,1,7]=>[6,2,1] [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]=>[2,3,4,5,6,9,7,8,1]=>[7,1,1] [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[10,3,4,5,6,7,8,9,2,1]=>[10,1,4,5,6,7,8,9,2,3]=>[7,2,1] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,2,3,1]=>[10,3,1,2,4,5,6,7,8,9]=>[8,1,1] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[10,9,2,3,4,5,6,7,8,1]=>[10,3,4,5,6,7,8,1,2,9]=>[7,2,1] [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]=>[2,10,1,3,4,5,6,7,8,9]=>[8,2] [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]=>[2,10,4,1,3,5,6,7,8,9]=>[7,2,1] [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]=>[2,10,4,1,6,3,5,7,8,9]=>[6,3,1] [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]=>[2,10,4,1,6,3,8,5,7,9]=>[5,4,1] [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]=>[2,10,4,1,6,3,8,5,9,7]=>[5,4,1] [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[10,3,4,5,6,7,8,9,1,2]=>[2,10,4,5,6,7,8,9,1,3]=>[7,2,1] [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]=>[2,3,10,1,4,5,6,7,8,9]=>[8,2] [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]=>[2,3,10,5,1,4,6,7,8,9]=>[7,2,1] [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]=>[2,3,10,5,1,7,4,9,6,8]=>[5,4,1] [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]=>[2,3,10,5,6,1,8,4,9,7]=>[6,3,1] [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,5,6,7,8,9,10,1,2,3]=>[2,3,10,4,5,6,7,8,9,1]=>[8,1,1] [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]=>[2,3,4,10,1,5,6,7,8,9]=>[8,2] [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]=>[2,3,4,10,6,1,8,5,9,7]=>[6,3,1] [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]=>[2,3,4,10,6,7,1,8,9,5]=>[7,2,1] [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]=>[2,3,4,10,6,7,8,1,5,9]=>[7,2,1] [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]=>[2,3,4,10,6,7,8,1,9,5]=>[7,2,1] [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[5,6,7,8,9,10,1,2,3,4]=>[2,3,4,10,5,6,7,8,9,1]=>[8,1,1] [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]=>[2,3,4,5,10,1,6,7,8,9]=>[8,2] [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]=>[2,3,4,5,10,7,1,9,6,8]=>[6,3,1] [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]=>[2,3,4,5,10,7,8,9,1,6]=>[7,2,1] [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]=>[2,3,4,5,10,6,7,8,9,1]=>[8,1,1] [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]=>[2,3,4,5,6,10,1,7,8,9]=>[8,2] [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]=>[2,3,4,5,6,10,8,9,1,7]=>[7,2,1] [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]=>[2,3,4,5,6,10,7,8,9,1]=>[8,1,1] [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]=>[2,3,4,5,6,7,10,1,8,9]=>[8,2] [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]=>[2,3,4,5,6,7,10,9,1,8]=>[7,2,1] [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]=>[2,3,4,5,6,7,10,8,9,1]=>[8,1,1] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[10] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,2,1,3]=>[3,1,9,2,4,5,6,7,8]=>[7,2] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,4,3,2,1,5]=>[5,1,2,3,9,4,6,7,8]=>[7,2] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,4,3,2,1,6]=>[6,1,2,3,4,9,5,7,8]=>[7,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[9,8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,9,6,8]=>[7,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,9,7]=>[7,2] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,2,3,1,4]=>[4,3,1,9,2,5,6,7,8]=>[6,2,1] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,3,2,1,4]=>[4,1,2,10,3,5,6,7,8,9]=>[8,2] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,4,3,2,1,5]=>[5,1,2,3,10,4,6,7,8,9]=>[8,2] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[9,6,7,5,4,3,2,1,8]=>[8,1,2,3,4,7,5,9,6]=>[6,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[10,8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,10,8]=>[8,2] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[11,10,9,8,7,6,5,4,3,1,2]=>[2,11,1,3,4,5,6,7,8,9,10]=>[9,2] [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]=>[9,1,2,3,4,5,6,8,7,10]=>[8,1,1] [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[8,1,1] [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]=>[9,1] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[9,6,5,4,3,2,1,7,8]=>[7,1,2,3,4,5,8,9,6]=>[7,2] [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[9,8,5,4,3,2,1,6,7]=>[6,1,2,3,4,7,9,5,8]=>[6,3] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,3,2,1,4,5]=>[4,1,2,5,9,3,6,7,8]=>[6,3] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,2,1,3,4]=>[3,1,4,9,2,5,6,7,8]=>[6,3] [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]=>[9,2,3,4,5,6,7,8,1,10]=>[8,1,1] [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]=>[2,3,4,5,6,7,8,9,1,10]=>[9,1] [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]=>[2,3,4,5,6,7,8,9,10,1,11]=>[10,1] [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]=>[2,1,3,4,5,6,7,8,9,10]=>[9,1] [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]=>[2,1,3,4,5,6,7,8,9,10,11]=>[10,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[10,8,7,6,9,5,4,3,2,1]=>[10,1,2,3,4,9,6,7,5,8]=>[7,1,1,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,6,5,4,3,1,2,8]=>[2,8,1,3,4,5,6,9,7]=>[6,3] [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]=>[7,1,2,3,4,5,6,8,9,10]=>[9,1] [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[6,5,7,8,9,1,2,3,4]=>[2,3,4,9,6,5,7,8,1]=>[6,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>[8,7,9,1,2,3,4,5,6]=>[2,3,4,5,6,9,8,7,1]=>[6,1,1,1] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[8,1,2,3,4,5,6,7,9,10]=>[2,3,4,5,6,7,8,1,9,10]=>[9,1] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]=>[7,6,8,9,1,2,3,4,5]=>[2,3,4,5,9,7,6,8,1]=>[6,1,1,1] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[7,1,2,3,4,5,6,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]=>[9,1] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[6,1,2,3,4,5,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]=>[9,1] [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[5,4,6,7,8,9,1,2,3]=>[2,3,9,5,4,6,7,8,1]=>[6,1,1,1] [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[5,1,2,3,4,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]=>[9,1] [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[4,1,2,3,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]=>[9,1] [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]=>[9,1,2,3,6,4,5,7,8,10]=>[8,1,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[9,7,8,5,4,3,2,1,6]=>[6,1,2,3,4,9,8,5,7]=>[6,2,1] [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]=>[8,1,2,3,4,5,6,7,9,10]=>[9,1] [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]=>[2,4,3,1,5,6,7,8,9,10]=>[8,1,1] [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]=>[2,3,6,4,5,1,7,8,9,10]=>[8,1,1] [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]=>[2,3,4,8,5,6,7,1,9,10]=>[8,1,1] [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1] [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[7,6,8,5,9,4,10,2,1,3]=>[3,1,10,9,8,7,6,5,4,2]=>[2,2,1,1,1,1,1,1] [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[7,6,8,5,9,4,10,3,11,2,12,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[11] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[10,7,6,5,4,3,2,1,8,9]=>[8,1,2,3,4,5,6,9,10,7]=>[8,2] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[9,5,4,3,2,1,6,7,8]=>[6,1,2,3,4,7,8,9,5]=>[7,2] [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[10,5,4,3,2,1,6,7,8,9]=>[6,1,2,3,4,7,8,9,10,5]=>[8,2] [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[10,6,5,4,3,2,1,7,8,9]=>[7,1,2,3,4,5,8,9,10,6]=>[8,2] [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]=>[3,2,4,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[7,1,1,1] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[10,11,1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,11,10,1]=>[9,1,1] [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]=>[6,1,2,3,4,5,7,8,9,10]=>[9,1] [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]=>[4,2,1,3,5,6,7,8,9,10]=>[3,1,4,2,5,6,7,8,9,10]=>[8,2] [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]=>[9,8,7,2,1,3,4,5,6]=>[3,1,4,5,6,9,2,7,8]=>[6,3] [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]=>[3,1,2,4,5,6,7,8,9,10]=>[9,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[10,8,7,6,5,4,3,9,2,1]=>[10,1,9,3,4,5,6,7,2,8]=>[7,1,1,1] [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]=>[5,1,2,3,4,6,7,8,9,10]=>[9,1] [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]=>[4,1,2,3,5,6,7,8,9,10]=>[9,1] [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[11,2,3,4,5,6,7,8,9,1,10]=>[10,3,4,5,6,7,8,9,1,11,2]=>[8,2,1] [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[10,2,3,4,5,6,7,8,9,11,1]=>[11,3,4,5,6,7,8,9,10,2,1]=>[8,1,1,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[11,9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,11,9]=>[9,2] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,6,5,4,3,2,8,1]=>[9,8,2,3,4,5,6,1,7]=>[6,1,1,1] [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]=>[2,3,4,5,6,7,9,8,1,10]=>[8,1,1] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,2,1,3,4]=>[3,1,4,10,2,5,6,7,8,9]=>[7,3] [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]=>[2,3,4,5,6,7,8,9,11,1,10]=>[9,2] [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0]=>[9,8,4,1,2,3,5,6,7]=>[2,3,5,1,6,7,9,4,8]=>[6,3] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,2,3,4,5,6,7,1,8]=>[7,1,1,1] [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[11,2,3,4,5,6,7,8,9,10,1]=>[11,3,4,5,6,7,8,9,10,1,2]=>[8,2,1] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[7,8,2,3,4,5,6,9,1]=>[9,3,4,5,6,8,7,2,1]=>[5,1,1,1,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[10,8,7,6,5,4,3,1,2,9]=>[2,9,1,3,4,5,6,7,10,8]=>[7,3] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,6,5,4,3,8,2,1]=>[9,1,8,3,4,5,6,2,7]=>[6,1,1,1] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0]=>[10,9,2,1,3,4,5,6,7,8]=>[3,1,4,5,6,7,8,10,2,9]=>[7,3] [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]=>[2,8,4,5,6,7,1,9,3]=>[6,2,1] [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1] [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[6,7,5,8,4,9,3,10,1,2]=>[2,10,9,8,7,6,5,4,3,1]=>[2,1,1,1,1,1,1,1,1] [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,4,6,3,7,2,8,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[3,1,1,1,1,1,1,1] [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[9,6,5,4,3,1,2,7,8]=>[2,7,1,3,4,5,8,9,6]=>[6,3] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[9,7,5,3,1,2,4,6,8,10]=>[2,4,1,6,3,8,5,9,7,10]=>[6,4] [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]=>[2,8,4,1,6,3,7,5,9,10]=>[6,3,1] [1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,11,2,1]=>[11,1,3,4,5,6,7,8,9,10,2]=>[9,1,1] [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[11,3,4,5,6,7,8,9,10,1,2]=>[2,11,4,5,6,7,8,9,10,1,3]=>[8,2,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[11,8,9,10,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,11,9,10,1,8]=>[8,2,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0]=>[9,8,10,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,10,9,8,1]=>[7,1,1,1] [1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[3,4,2,5,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[6,1,1,1,1] [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[5,6,4,7,3,8,2,9,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,1,1,1,1,1,1,1,1] [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,7,5,8,4,9,3,10,2,11,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,1,1,1,1,1,1,1,1,1,1] [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]=>[2,3,9,5,6,1,7,8,4,10]=>[7,2,1] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[10,8,7,6,5,4,2,1,3,9]=>[3,1,9,2,4,5,6,7,10,8]=>[7,3] [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[9,7,5,3,1,2,4,6,8]=>[2,4,1,6,3,8,5,9,7]=>[5,4] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[10,8,6,5,4,3,2,1,7,9]=>[7,1,2,3,4,5,9,6,10,8]=>[7,3] [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[6,4,5,7,3,8,2,9,1]=>[9,8,7,5,6,4,3,2,1]=>[2,1,1,1,1,1,1,1] [1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[6,4,5,7,3,8,2,9,1,10]=>[9,8,7,5,6,4,3,2,1,10]=>[3,1,1,1,1,1,1,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[12,11,10,9,8,7,6,5,4,3,1,2]=>[2,12,1,3,4,5,6,7,8,9,10,11]=>[10,2] [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[10,5,6,4,7,3,8,2,9,1]=>[10,9,8,7,6,4,3,2,1,5]=>[2,1,1,1,1,1,1,1,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[12,10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,12,10]=>[10,2] [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[9,8,6,4,2,1,3,5,7,10]=>[3,1,5,2,7,4,9,6,8,10]=>[6,4]
Map
to 132-avoiding permutation
Description
Sends a Dyck path to a 132-avoiding permutation.
This bijection is defined in [1, Section 2].
Map
first fundamental transformation
Description
Return the permutation whose cycles are the subsequences between successive left to right maxima.
Map
Robinson-Schensted tableau shape
Description
Sends a permutation to its Robinson-Schensted tableau shape.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to the shape of its corresponding insertion and recording tableau.