Identifier
Mp00023: Dyck paths to non-crossing permutationPermutations
Mp00204: Permutations LLPSInteger partitions
Mp00044: Integer partitions conjugate Integer partitions
Images
=>
Cc0005;cc-rep-0Cc0002;cc-rep-2Cc0002;cc-rep-3
[1,0]=>[1]=>[1]=>[1] [1,0,1,0]=>[1,2]=>[1,1]=>[2] [1,1,0,0]=>[2,1]=>[2]=>[1,1] [1,0,1,0,1,0]=>[1,2,3]=>[1,1,1]=>[3] [1,0,1,1,0,0]=>[1,3,2]=>[2,1]=>[2,1] [1,1,0,0,1,0]=>[2,1,3]=>[2,1]=>[2,1] [1,1,0,1,0,0]=>[2,3,1]=>[2,1]=>[2,1] [1,1,1,0,0,0]=>[3,2,1]=>[3]=>[1,1,1] [1,0,1,0,1,0,1,0]=>[1,2,3,4]=>[1,1,1,1]=>[4] [1,0,1,0,1,1,0,0]=>[1,2,4,3]=>[2,1,1]=>[3,1] [1,0,1,1,0,0,1,0]=>[1,3,2,4]=>[2,1,1]=>[3,1] [1,0,1,1,0,1,0,0]=>[1,3,4,2]=>[2,1,1]=>[3,1] [1,0,1,1,1,0,0,0]=>[1,4,3,2]=>[3,1]=>[2,1,1] [1,1,0,0,1,0,1,0]=>[2,1,3,4]=>[2,1,1]=>[3,1] [1,1,0,0,1,1,0,0]=>[2,1,4,3]=>[2,2]=>[2,2] [1,1,0,1,0,0,1,0]=>[2,3,1,4]=>[2,1,1]=>[3,1] [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>[2,1,1]=>[3,1] [1,1,0,1,1,0,0,0]=>[2,4,3,1]=>[3,1]=>[2,1,1] [1,1,1,0,0,0,1,0]=>[3,2,1,4]=>[3,1]=>[2,1,1] [1,1,1,0,0,1,0,0]=>[3,2,4,1]=>[3,1]=>[2,1,1] [1,1,1,0,1,0,0,0]=>[4,2,3,1]=>[3,1]=>[2,1,1] [1,1,1,1,0,0,0,0]=>[4,3,2,1]=>[4]=>[1,1,1,1] [1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>[1,1,1,1,1]=>[5] [1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>[2,1,1,1]=>[4,1] [1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>[2,1,1,1]=>[4,1] [1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>[2,1,1,1]=>[4,1] [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,4,3]=>[3,1,1]=>[3,1,1] [1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>[2,1,1,1]=>[4,1] [1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>[2,2,1]=>[3,2] [1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>[2,1,1,1]=>[4,1] [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>[2,1,1,1]=>[4,1] [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,4,2]=>[3,1,1]=>[3,1,1] [1,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,5]=>[3,1,1]=>[3,1,1] [1,0,1,1,1,0,0,1,0,0]=>[1,4,3,5,2]=>[3,1,1]=>[3,1,1] [1,0,1,1,1,0,1,0,0,0]=>[1,5,3,4,2]=>[3,1,1]=>[3,1,1] [1,0,1,1,1,1,0,0,0,0]=>[1,5,4,3,2]=>[4,1]=>[2,1,1,1] [1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>[2,1,1,1]=>[4,1] [1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>[2,2,1]=>[3,2] [1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>[2,2,1]=>[3,2] [1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>[2,2,1]=>[3,2] [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,4,3]=>[3,2]=>[2,2,1] [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>[2,1,1,1]=>[4,1] [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>[2,2,1]=>[3,2] [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>[2,1,1,1]=>[4,1] [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>[2,1,1,1]=>[4,1] [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,4,1]=>[3,1,1]=>[3,1,1] [1,1,0,1,1,0,0,0,1,0]=>[2,4,3,1,5]=>[3,1,1]=>[3,1,1] [1,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,1]=>[3,1,1]=>[3,1,1] [1,1,0,1,1,0,1,0,0,0]=>[2,5,3,4,1]=>[3,1,1]=>[3,1,1] [1,1,0,1,1,1,0,0,0,0]=>[2,5,4,3,1]=>[4,1]=>[2,1,1,1] [1,1,1,0,0,0,1,0,1,0]=>[3,2,1,4,5]=>[3,1,1]=>[3,1,1] [1,1,1,0,0,0,1,1,0,0]=>[3,2,1,5,4]=>[3,2]=>[2,2,1] [1,1,1,0,0,1,0,0,1,0]=>[3,2,4,1,5]=>[3,1,1]=>[3,1,1] [1,1,1,0,0,1,0,1,0,0]=>[3,2,4,5,1]=>[3,1,1]=>[3,1,1] [1,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,1]=>[3,2]=>[2,2,1] [1,1,1,0,1,0,0,0,1,0]=>[4,2,3,1,5]=>[3,1,1]=>[3,1,1] [1,1,1,0,1,0,0,1,0,0]=>[4,2,3,5,1]=>[3,1,1]=>[3,1,1] [1,1,1,0,1,0,1,0,0,0]=>[5,2,3,4,1]=>[3,1,1]=>[3,1,1] [1,1,1,0,1,1,0,0,0,0]=>[5,2,4,3,1]=>[4,1]=>[2,1,1,1] [1,1,1,1,0,0,0,0,1,0]=>[4,3,2,1,5]=>[4,1]=>[2,1,1,1] [1,1,1,1,0,0,0,1,0,0]=>[4,3,2,5,1]=>[4,1]=>[2,1,1,1] [1,1,1,1,0,0,1,0,0,0]=>[5,3,2,4,1]=>[4,1]=>[2,1,1,1] [1,1,1,1,0,1,0,0,0,0]=>[5,3,4,2,1]=>[4,1]=>[2,1,1,1] [1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1]=>[5]=>[1,1,1,1,1] [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]=>[1,1,1,1,1,1]=>[6] [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>[2,1,1,1,1]=>[5,1] [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]=>[2,1,1,1,1]=>[5,1] [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>[2,1,1,1,1]=>[5,1] [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,5,4]=>[3,1,1,1]=>[4,1,1] [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]=>[2,1,1,1,1]=>[5,1] [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>[2,2,1,1]=>[4,2] [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]=>[2,1,1,1,1]=>[5,1] [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>[2,1,1,1,1]=>[5,1] [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,5,3]=>[3,1,1,1]=>[4,1,1] [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,4,3,6]=>[3,1,1,1]=>[4,1,1] [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,4,6,3]=>[3,1,1,1]=>[4,1,1] [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,6,4,5,3]=>[3,1,1,1]=>[4,1,1] [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,5,4,3]=>[4,1,1]=>[3,1,1,1] [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]=>[2,1,1,1,1]=>[5,1] [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>[2,2,1,1]=>[4,2] [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]=>[2,2,1,1]=>[4,2] [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>[2,2,1,1]=>[4,2] [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,5,4]=>[3,2,1]=>[3,2,1] [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>[2,1,1,1,1]=>[5,1] [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>[2,2,1,1]=>[4,2] [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>[2,1,1,1,1]=>[5,1] [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>[2,1,1,1,1]=>[5,1] [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,5,2]=>[3,1,1,1]=>[4,1,1] [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,4,2,6]=>[3,1,1,1]=>[4,1,1] [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,4,6,2]=>[3,1,1,1]=>[4,1,1] [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,6,4,5,2]=>[3,1,1,1]=>[4,1,1] [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,5,4,2]=>[4,1,1]=>[3,1,1,1] [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,3,2,5,6]=>[3,1,1,1]=>[4,1,1] [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,3,2,6,5]=>[3,2,1]=>[3,2,1] [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,3,5,2,6]=>[3,1,1,1]=>[4,1,1] [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,3,5,6,2]=>[3,1,1,1]=>[4,1,1] [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,2]=>[3,2,1]=>[3,2,1] [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,5,3,4,2,6]=>[3,1,1,1]=>[4,1,1] [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,5,3,4,6,2]=>[3,1,1,1]=>[4,1,1] [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,6,3,4,5,2]=>[3,1,1,1]=>[4,1,1] [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,6,3,5,4,2]=>[4,1,1]=>[3,1,1,1] [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,4,3,2,6]=>[4,1,1]=>[3,1,1,1] [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,4,3,6,2]=>[4,1,1]=>[3,1,1,1] [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,6,4,3,5,2]=>[4,1,1]=>[3,1,1,1] [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,6,4,5,3,2]=>[4,1,1]=>[3,1,1,1] [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,5,4,3,2]=>[5,1]=>[2,1,1,1,1] [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]=>[2,1,1,1,1]=>[5,1] [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>[2,2,1,1]=>[4,2] [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]=>[2,2,1,1]=>[4,2] [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>[2,2,1,1]=>[4,2] [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,5,4]=>[3,2,1]=>[3,2,1] [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[2,2,1,1]=>[4,2] [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>[2,2,2]=>[3,3] [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[2,2,1,1]=>[4,2] [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>[2,2,1,1]=>[4,2] [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3]=>[3,2,1]=>[3,2,1] [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,4,3,6]=>[3,2,1]=>[3,2,1] [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3]=>[3,2,1]=>[3,2,1] [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,6,4,5,3]=>[3,2,1]=>[3,2,1] [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3]=>[4,2]=>[2,2,1,1] [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>[2,1,1,1,1]=>[5,1] [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>[2,2,1,1]=>[4,2] [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>[2,2,1,1]=>[4,2] [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>[2,2,1,1]=>[4,2] [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,5,4]=>[3,2,1]=>[3,2,1] [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>[2,1,1,1,1]=>[5,1] [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>[2,2,1,1]=>[4,2] [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>[2,1,1,1,1]=>[5,1] [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>[2,1,1,1,1]=>[5,1] [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,5,1]=>[3,1,1,1]=>[4,1,1] [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,4,1,6]=>[3,1,1,1]=>[4,1,1] [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,4,6,1]=>[3,1,1,1]=>[4,1,1] [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,6,4,5,1]=>[3,1,1,1]=>[4,1,1] [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,5,4,1]=>[4,1,1]=>[3,1,1,1] [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,1,5,6]=>[3,1,1,1]=>[4,1,1] [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,5]=>[3,2,1]=>[3,2,1] [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,5,1,6]=>[3,1,1,1]=>[4,1,1] [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,5,6,1]=>[3,1,1,1]=>[4,1,1] [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,1]=>[3,2,1]=>[3,2,1] [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,5,3,4,1,6]=>[3,1,1,1]=>[4,1,1] [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,5,3,4,6,1]=>[3,1,1,1]=>[4,1,1] [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,6,3,4,5,1]=>[3,1,1,1]=>[4,1,1] [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,6,3,5,4,1]=>[4,1,1]=>[3,1,1,1] [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,4,3,1,6]=>[4,1,1]=>[3,1,1,1] [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,4,3,6,1]=>[4,1,1]=>[3,1,1,1] [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,6,4,3,5,1]=>[4,1,1]=>[3,1,1,1] [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,6,4,5,3,1]=>[4,1,1]=>[3,1,1,1] [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,5,4,3,1]=>[5,1]=>[2,1,1,1,1] [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,4,5,6]=>[3,1,1,1]=>[4,1,1] [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,4,6,5]=>[3,2,1]=>[3,2,1] [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,6]=>[3,2,1]=>[3,2,1] [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1,5,6,4]=>[3,2,1]=>[3,2,1] [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,1,6,5,4]=>[3,3]=>[2,2,2] [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,4,1,5,6]=>[3,1,1,1]=>[4,1,1] [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5]=>[3,2,1]=>[3,2,1] [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,4,5,1,6]=>[3,1,1,1]=>[4,1,1] [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,1]=>[3,1,1,1]=>[4,1,1] [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,4,6,5,1]=>[3,2,1]=>[3,2,1] [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,1,6]=>[3,2,1]=>[3,2,1] [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,6,1]=>[3,2,1]=>[3,2,1] [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,6,4,5,1]=>[3,2,1]=>[3,2,1] [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,6,5,4,1]=>[4,2]=>[2,2,1,1] [1,1,1,0,1,0,0,0,1,0,1,0]=>[4,2,3,1,5,6]=>[3,1,1,1]=>[4,1,1] [1,1,1,0,1,0,0,0,1,1,0,0]=>[4,2,3,1,6,5]=>[3,2,1]=>[3,2,1] [1,1,1,0,1,0,0,1,0,0,1,0]=>[4,2,3,5,1,6]=>[3,1,1,1]=>[4,1,1] [1,1,1,0,1,0,0,1,0,1,0,0]=>[4,2,3,5,6,1]=>[3,1,1,1]=>[4,1,1] [1,1,1,0,1,0,0,1,1,0,0,0]=>[4,2,3,6,5,1]=>[3,2,1]=>[3,2,1] [1,1,1,0,1,0,1,0,0,0,1,0]=>[5,2,3,4,1,6]=>[3,1,1,1]=>[4,1,1] [1,1,1,0,1,0,1,0,0,1,0,0]=>[5,2,3,4,6,1]=>[3,1,1,1]=>[4,1,1] [1,1,1,0,1,0,1,0,1,0,0,0]=>[6,2,3,4,5,1]=>[3,1,1,1]=>[4,1,1] [1,1,1,0,1,0,1,1,0,0,0,0]=>[6,2,3,5,4,1]=>[4,1,1]=>[3,1,1,1] [1,1,1,0,1,1,0,0,0,0,1,0]=>[5,2,4,3,1,6]=>[4,1,1]=>[3,1,1,1] [1,1,1,0,1,1,0,0,0,1,0,0]=>[5,2,4,3,6,1]=>[4,1,1]=>[3,1,1,1] [1,1,1,0,1,1,0,0,1,0,0,0]=>[6,2,4,3,5,1]=>[4,1,1]=>[3,1,1,1] [1,1,1,0,1,1,0,1,0,0,0,0]=>[6,2,4,5,3,1]=>[4,1,1]=>[3,1,1,1] [1,1,1,0,1,1,1,0,0,0,0,0]=>[6,2,5,4,3,1]=>[5,1]=>[2,1,1,1,1] [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,2,1,5,6]=>[4,1,1]=>[3,1,1,1] [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,6,5]=>[4,2]=>[2,2,1,1] [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,3,2,5,1,6]=>[4,1,1]=>[3,1,1,1] [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3,2,5,6,1]=>[4,1,1]=>[3,1,1,1] [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,3,2,6,5,1]=>[4,2]=>[2,2,1,1] [1,1,1,1,0,0,1,0,0,0,1,0]=>[5,3,2,4,1,6]=>[4,1,1]=>[3,1,1,1] [1,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,2,4,6,1]=>[4,1,1]=>[3,1,1,1] [1,1,1,1,0,0,1,0,1,0,0,0]=>[6,3,2,4,5,1]=>[4,1,1]=>[3,1,1,1] [1,1,1,1,0,0,1,1,0,0,0,0]=>[6,3,2,5,4,1]=>[4,2]=>[2,2,1,1] [1,1,1,1,0,1,0,0,0,0,1,0]=>[5,3,4,2,1,6]=>[4,1,1]=>[3,1,1,1] [1,1,1,1,0,1,0,0,0,1,0,0]=>[5,3,4,2,6,1]=>[4,1,1]=>[3,1,1,1] [1,1,1,1,0,1,0,0,1,0,0,0]=>[6,3,4,2,5,1]=>[4,1,1]=>[3,1,1,1] [1,1,1,1,0,1,0,1,0,0,0,0]=>[6,3,4,5,2,1]=>[4,1,1]=>[3,1,1,1] [1,1,1,1,0,1,1,0,0,0,0,0]=>[6,3,5,4,2,1]=>[5,1]=>[2,1,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,4,3,2,1,6]=>[5,1]=>[2,1,1,1,1] [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,4,3,2,6,1]=>[5,1]=>[2,1,1,1,1] [1,1,1,1,1,0,0,0,1,0,0,0]=>[6,4,3,2,5,1]=>[5,1]=>[2,1,1,1,1] [1,1,1,1,1,0,0,1,0,0,0,0]=>[6,4,3,5,2,1]=>[5,1]=>[2,1,1,1,1] [1,1,1,1,1,0,1,0,0,0,0,0]=>[6,5,3,4,2,1]=>[5,1]=>[2,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,5,4,3,2,1]=>[6]=>[1,1,1,1,1,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7]=>[1,1,1,1,1,1,1]=>[7] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,7,6]=>[2,1,1,1,1,1]=>[6,1] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,7]=>[2,1,1,1,1,1]=>[6,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]=>[2,1,1,1,1,1]=>[6,1] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,6,5]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,6,7]=>[2,1,1,1,1,1]=>[6,1] [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]=>[2,2,1,1,1]=>[5,2] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]=>[2,1,1,1,1,1]=>[6,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>[2,1,1,1,1,1]=>[6,1] [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,6,4]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,5,4,7]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,5,7,4]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,7,5,6,4]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,6,5,4]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7]=>[2,1,1,1,1,1]=>[6,1] [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]=>[2,2,1,1,1]=>[5,2] [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]=>[2,2,1,1,1]=>[5,2] [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]=>[2,2,1,1,1]=>[5,2] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,6,5]=>[3,2,1,1]=>[4,2,1] [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>[2,1,1,1,1,1]=>[6,1] [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>[2,2,1,1,1]=>[5,2] [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>[2,1,1,1,1,1]=>[6,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>[2,1,1,1,1,1]=>[6,1] [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,6,3]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,5,3,7]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,5,7,3]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,7,5,6,3]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,6,5,3]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,4,3,6,7]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,4,3,7,6]=>[3,2,1,1]=>[4,2,1] [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,4,6,3,7]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,4,6,7,3]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,4,7,6,3]=>[3,2,1,1]=>[4,2,1] [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,6,4,5,3,7]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,6,4,5,7,3]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,7,4,5,6,3]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,7,4,6,5,3]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,5,4,3,7]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,5,4,7,3]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,7,5,4,6,3]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,7,5,6,4,3]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,6,5,4,3]=>[5,1,1]=>[3,1,1,1,1] [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7]=>[2,1,1,1,1,1]=>[6,1] [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]=>[2,2,1,1,1]=>[5,2] [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]=>[2,2,1,1,1]=>[5,2] [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]=>[2,2,1,1,1]=>[5,2] [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,6,5]=>[3,2,1,1]=>[4,2,1] [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]=>[2,2,1,1,1]=>[5,2] [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]=>[2,2,2,1]=>[4,3] [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]=>[2,2,1,1,1]=>[5,2] [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>[2,2,1,1,1]=>[5,2] [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,6,4]=>[3,2,1,1]=>[4,2,1] [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,5,4,7]=>[3,2,1,1]=>[4,2,1] [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,5,7,4]=>[3,2,1,1]=>[4,2,1] [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,7,5,6,4]=>[3,2,1,1]=>[4,2,1] [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,6,5,4]=>[4,2,1]=>[3,2,1,1] [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>[2,1,1,1,1,1]=>[6,1] [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>[2,2,1,1,1]=>[5,2] [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>[2,2,1,1,1]=>[5,2] [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>[2,2,1,1,1]=>[5,2] [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,6,5]=>[3,2,1,1]=>[4,2,1] [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>[2,1,1,1,1,1]=>[6,1] [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>[2,2,1,1,1]=>[5,2] [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>[2,1,1,1,1,1]=>[6,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>[2,1,1,1,1,1]=>[6,1] [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,6,2]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,5,2,7]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,5,7,2]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,7,5,6,2]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,6,5,2]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,4,2,6,7]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,4,2,7,6]=>[3,2,1,1]=>[4,2,1] [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,4,6,2,7]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,4,6,7,2]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,4,7,6,2]=>[3,2,1,1]=>[4,2,1] [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,6,4,5,2,7]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,6,4,5,7,2]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,7,4,5,6,2]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,7,4,6,5,2]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,5,4,2,7]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,5,4,7,2]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,7,5,4,6,2]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,7,5,6,4,2]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,6,5,4,2]=>[5,1,1]=>[3,1,1,1,1] [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,3,2,5,7,6]=>[3,2,1,1]=>[4,2,1] [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,3,2,6,5,7]=>[3,2,1,1]=>[4,2,1] [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,3,2,6,7,5]=>[3,2,1,1]=>[4,2,1] [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,3,2,7,6,5]=>[3,3,1]=>[3,2,2] [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,3,5,2,6,7]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,3,5,2,7,6]=>[3,2,1,1]=>[4,2,1] [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,2,7]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,2]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,3,5,7,6,2]=>[3,2,1,1]=>[4,2,1] [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,3,6,5,2,7]=>[3,2,1,1]=>[4,2,1] [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,3,6,5,7,2]=>[3,2,1,1]=>[4,2,1] [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,3,7,5,6,2]=>[3,2,1,1]=>[4,2,1] [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,3,7,6,5,2]=>[4,2,1]=>[3,2,1,1] [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,5,3,4,2,6,7]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,5,3,4,2,7,6]=>[3,2,1,1]=>[4,2,1] [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,5,3,4,6,2,7]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,5,3,4,6,7,2]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,5,3,4,7,6,2]=>[3,2,1,1]=>[4,2,1] [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,6,3,4,5,2,7]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,6,3,4,5,7,2]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,7,3,4,5,6,2]=>[3,1,1,1,1]=>[5,1,1] [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,7,3,4,6,5,2]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,6,3,5,4,2,7]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,6,3,5,4,7,2]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,7,3,5,4,6,2]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,7,3,5,6,4,2]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,7,3,6,5,4,2]=>[5,1,1]=>[3,1,1,1,1] [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,4,3,2,6,7]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,4,3,2,7,6]=>[4,2,1]=>[3,2,1,1] [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,4,3,6,2,7]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,4,3,6,7,2]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,4,3,7,6,2]=>[4,2,1]=>[3,2,1,1] [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,6,4,3,5,2,7]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,6,4,3,5,7,2]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,7,4,3,5,6,2]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,7,4,3,6,5,2]=>[4,2,1]=>[3,2,1,1] [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,6,4,5,3,2,7]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,6,4,5,3,7,2]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,7,4,5,3,6,2]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,7,4,5,6,3,2]=>[4,1,1,1]=>[4,1,1,1] [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,7,4,6,5,3,2]=>[5,1,1]=>[3,1,1,1,1] [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,5,4,3,2,7]=>[5,1,1]=>[3,1,1,1,1] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,5,4,3,7,2]=>[5,1,1]=>[3,1,1,1,1] [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,7,5,4,3,6,2]=>[5,1,1]=>[3,1,1,1,1] [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,7,5,4,6,3,2]=>[5,1,1]=>[3,1,1,1,1] [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,7,6,4,5,3,2]=>[5,1,1]=>[3,1,1,1,1] [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,6,5,4,3,2]=>[6,1]=>[2,1,1,1,1,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7]=>[2,1,1,1,1,1]=>[6,1] [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,7,6]=>[2,2,1,1,1]=>[5,2] [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,7]=>[2,2,1,1,1]=>[5,2] [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,6,7,5]=>[2,2,1,1,1]=>[5,2] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,6,5]=>[3,2,1,1]=>[4,2,1] [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,5,4,6,7]=>[2,2,1,1,1]=>[5,2] [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6]=>[2,2,2,1]=>[4,3] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,6,4,7]=>[2,2,1,1,1]=>[5,2] [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,4]=>[2,2,1,1,1]=>[5,2] [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,6,4]=>[3,2,1,1]=>[4,2,1] [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,5,4,7]=>[3,2,1,1]=>[4,2,1] [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,5,7,4]=>[3,2,1,1]=>[4,2,1] [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,7,5,6,4]=>[3,2,1,1]=>[4,2,1] [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,6,5,4]=>[4,2,1]=>[3,2,1,1] [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>[2,2,1,1,1]=>[5,2] [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,5,7,6]=>[2,2,2,1]=>[4,3] [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7]=>[2,2,2,1]=>[4,3] [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,7,5]=>[2,2,2,1]=>[4,3] [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,6,5]=>[3,2,2]=>[3,3,1] [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,3,6,7]=>[2,2,1,1,1]=>[5,2] [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,3,7,6]=>[2,2,2,1]=>[4,3] [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,3,7]=>[2,2,1,1,1]=>[5,2] [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,3]=>[2,2,1,1,1]=>[5,2] [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,6,3]=>[3,2,1,1]=>[4,2,1] [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,5,3,7]=>[3,2,1,1]=>[4,2,1] [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,5,7,3]=>[3,2,1,1]=>[4,2,1] [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,7,5,6,3]=>[3,2,1,1]=>[4,2,1] [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,6,5,3]=>[4,2,1]=>[3,2,1,1] [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,4,3,6,7]=>[3,2,1,1]=>[4,2,1] [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,4,3,7,6]=>[3,2,2]=>[3,3,1] [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,4,6,3,7]=>[3,2,1,1]=>[4,2,1] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,4,6,7,3]=>[3,2,1,1]=>[4,2,1] [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,4,7,6,3]=>[3,2,2]=>[3,3,1] [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,6,4,5,3,7]=>[3,2,1,1]=>[4,2,1] [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,6,4,5,7,3]=>[3,2,1,1]=>[4,2,1] [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,7,4,5,6,3]=>[3,2,1,1]=>[4,2,1] [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,7,4,6,5,3]=>[4,2,1]=>[3,2,1,1] [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,5,4,3,7]=>[4,2,1]=>[3,2,1,1] [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,5,4,7,3]=>[4,2,1]=>[3,2,1,1] [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,7,5,4,6,3]=>[4,2,1]=>[3,2,1,1] [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,7,5,6,4,3]=>[4,2,1]=>[3,2,1,1] [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,6,5,4,3]=>[5,2]=>[2,2,1,1,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>[2,1,1,1,1,1]=>[6,1] [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,7,6]=>[2,2,1,1,1]=>[5,2] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,7]=>[2,2,1,1,1]=>[5,2] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,6,7,5]=>[2,2,1,1,1]=>[5,2] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,6,5]=>[3,2,1,1]=>[4,2,1] [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,4,6,7]=>[2,2,1,1,1]=>[5,2] [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6]=>[2,2,2,1]=>[4,3] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1,5,6,4,7]=>[2,2,1,1,1]=>[5,2] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,4]=>[2,2,1,1,1]=>[5,2] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,6,4]=>[3,2,1,1]=>[4,2,1] [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,5,4,7]=>[3,2,1,1]=>[4,2,1] [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,5,7,4]=>[3,2,1,1]=>[4,2,1] [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,7,5,6,4]=>[3,2,1,1]=>[4,2,1] [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,6,5,4]=>[4,2,1]=>[3,2,1,1] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>[2,1,1,1,1,1]=>[6,1] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>[2,2,1,1,1]=>[5,2] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,7]=>[2,2,1,1,1]=>[5,2] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,7,5]=>[2,2,1,1,1]=>[5,2] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,6,5]=>[3,2,1,1]=>[4,2,1] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>[2,1,1,1,1,1]=>[6,1] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>[2,2,1,1,1]=>[5,2] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>[2,1,1,1,1,1]=>[6,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]=>[2,1,1,1,1,1]=>[6,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,6,1]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,5,1,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,5,7,1]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,7,5,6,1]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,6,5,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,4,1,6,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,4,1,7,6]=>[3,2,1,1]=>[4,2,1] [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,4,6,1,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,4,6,7,1]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,4,7,6,1]=>[3,2,1,1]=>[4,2,1] [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,6,4,5,1,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,6,4,5,7,1]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,7,4,5,6,1]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,7,4,6,5,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,5,4,1,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,5,4,7,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,7,5,4,6,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,7,5,6,4,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,6,5,4,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,3,1,5,7,6]=>[3,2,1,1]=>[4,2,1] [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,3,1,6,5,7]=>[3,2,1,1]=>[4,2,1] [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,3,1,6,7,5]=>[3,2,1,1]=>[4,2,1] [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,3,1,7,6,5]=>[3,3,1]=>[3,2,2] [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,3,5,1,6,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,3,5,1,7,6]=>[3,2,1,1]=>[4,2,1] [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,1,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,1]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,3,5,7,6,1]=>[3,2,1,1]=>[4,2,1] [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,3,6,5,1,7]=>[3,2,1,1]=>[4,2,1] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,3,6,5,7,1]=>[3,2,1,1]=>[4,2,1] [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,3,7,5,6,1]=>[3,2,1,1]=>[4,2,1] [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,3,7,6,5,1]=>[4,2,1]=>[3,2,1,1] [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,5,3,4,1,6,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,5,3,4,1,7,6]=>[3,2,1,1]=>[4,2,1] [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,5,3,4,6,1,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,5,3,4,6,7,1]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,5,3,4,7,6,1]=>[3,2,1,1]=>[4,2,1] [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,6,3,4,5,1,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,6,3,4,5,7,1]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,7,3,4,5,6,1]=>[3,1,1,1,1]=>[5,1,1] [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,7,3,4,6,5,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,6,3,5,4,1,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,6,3,5,4,7,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,7,3,5,4,6,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,7,3,5,6,4,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,7,3,6,5,4,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,4,3,1,6,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,4,3,1,7,6]=>[4,2,1]=>[3,2,1,1] [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,4,3,6,1,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,4,3,6,7,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,4,3,7,6,1]=>[4,2,1]=>[3,2,1,1] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,6,4,3,5,1,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,6,4,3,5,7,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,7,4,3,5,6,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,7,4,3,6,5,1]=>[4,2,1]=>[3,2,1,1] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,6,4,5,3,1,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,6,4,5,3,7,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,7,4,5,3,6,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,7,4,5,6,3,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,7,4,6,5,3,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,5,4,3,1,7]=>[5,1,1]=>[3,1,1,1,1] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,5,4,3,7,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,7,5,4,3,6,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,7,5,4,6,3,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,7,6,4,5,3,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,6,5,4,3,1]=>[6,1]=>[2,1,1,1,1,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,7,6]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,6,5,7]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,6,7,5]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,7,6,5]=>[3,3,1]=>[3,2,2] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,5,4,6,7]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6]=>[3,2,2]=>[3,3,1] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,2,1,5,6,4,7]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,4]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,1,5,7,6,4]=>[3,3,1]=>[3,2,2] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,2,1,6,5,4,7]=>[3,3,1]=>[3,2,2] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,2,1,6,5,7,4]=>[3,3,1]=>[3,2,2] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,2,1,7,5,6,4]=>[3,3,1]=>[3,2,2] [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,1,7,6,5,4]=>[4,3]=>[2,2,2,1] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,2,4,1,5,7,6]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,2,4,1,6,5,7]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,2,4,1,6,7,5]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,1,7,6,5]=>[3,3,1]=>[3,2,2] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,1,6,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,2,4,5,1,7,6]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,1,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,1]=>[3,1,1,1,1]=>[5,1,1] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,7,6,1]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,2,4,6,5,1,7]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,6,5,7,1]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,7,5,6,1]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,2,4,7,6,5,1]=>[4,2,1]=>[3,2,1,1] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,5,4,1,6,7]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,5,4,1,7,6]=>[3,2,2]=>[3,3,1] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,5,4,6,1,7]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,5,4,6,7,1]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,7,6,1]=>[3,2,2]=>[3,3,1] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,6,4,5,1,7]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,6,4,5,7,1]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,7,4,5,6,1]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,7,4,6,5,1]=>[4,2,1]=>[3,2,1,1] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,2,6,5,4,1,7]=>[4,2,1]=>[3,2,1,1] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,2,6,5,4,7,1]=>[4,2,1]=>[3,2,1,1] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,2,7,5,4,6,1]=>[4,2,1]=>[3,2,1,1] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,2,7,5,6,4,1]=>[4,2,1]=>[3,2,1,1] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,2,7,6,5,4,1]=>[5,2]=>[2,2,1,1,1] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[4,2,3,1,5,6,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,2,3,1,5,7,6]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,2,3,1,6,5,7]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,2,3,1,6,7,5]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,2,3,1,7,6,5]=>[3,3,1]=>[3,2,2] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[4,2,3,5,1,6,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[4,2,3,5,1,7,6]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[4,2,3,5,6,1,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,1]=>[3,1,1,1,1]=>[5,1,1] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[4,2,3,5,7,6,1]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[4,2,3,6,5,1,7]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[4,2,3,6,5,7,1]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[4,2,3,7,5,6,1]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[4,2,3,7,6,5,1]=>[4,2,1]=>[3,2,1,1] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[5,2,3,4,1,6,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[5,2,3,4,1,7,6]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[5,2,3,4,6,1,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[5,2,3,4,6,7,1]=>[3,1,1,1,1]=>[5,1,1] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[5,2,3,4,7,6,1]=>[3,2,1,1]=>[4,2,1] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[6,2,3,4,5,1,7]=>[3,1,1,1,1]=>[5,1,1] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[6,2,3,4,5,7,1]=>[3,1,1,1,1]=>[5,1,1] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,2,3,4,5,6,1]=>[3,1,1,1,1]=>[5,1,1] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[7,2,3,4,6,5,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[6,2,3,5,4,1,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[6,2,3,5,4,7,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[7,2,3,5,4,6,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[7,2,3,5,6,4,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[7,2,3,6,5,4,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[5,2,4,3,1,6,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[5,2,4,3,1,7,6]=>[4,2,1]=>[3,2,1,1] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[5,2,4,3,6,1,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[5,2,4,3,6,7,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[5,2,4,3,7,6,1]=>[4,2,1]=>[3,2,1,1] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[6,2,4,3,5,1,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[6,2,4,3,5,7,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[7,2,4,3,5,6,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[7,2,4,3,6,5,1]=>[4,2,1]=>[3,2,1,1] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[6,2,4,5,3,1,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[6,2,4,5,3,7,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[7,2,4,5,3,6,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[7,2,4,5,6,3,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[7,2,4,6,5,3,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,2,5,4,3,1,7]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[6,2,5,4,3,7,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[7,2,5,4,3,6,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[7,2,5,4,6,3,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[7,2,6,4,5,3,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[7,2,6,5,4,3,1]=>[6,1]=>[2,1,1,1,1,1] [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,3,2,1,5,7,6]=>[4,2,1]=>[3,2,1,1] [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,3,2,1,6,5,7]=>[4,2,1]=>[3,2,1,1] [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,3,2,1,6,7,5]=>[4,2,1]=>[3,2,1,1] [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3,2,1,7,6,5]=>[4,3]=>[2,2,2,1] [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,3,2,5,1,6,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,3,2,5,1,7,6]=>[4,2,1]=>[3,2,1,1] [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,1,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,3,2,5,7,6,1]=>[4,2,1]=>[3,2,1,1] [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,3,2,6,5,1,7]=>[4,2,1]=>[3,2,1,1] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,3,2,6,5,7,1]=>[4,2,1]=>[3,2,1,1] [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,3,2,7,5,6,1]=>[4,2,1]=>[3,2,1,1] [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3,2,7,6,5,1]=>[4,3]=>[2,2,2,1] [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[5,3,2,4,1,6,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[5,3,2,4,1,7,6]=>[4,2,1]=>[3,2,1,1] [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[5,3,2,4,6,1,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[5,3,2,4,6,7,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[5,3,2,4,7,6,1]=>[4,2,1]=>[3,2,1,1] [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[6,3,2,4,5,1,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[6,3,2,4,5,7,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[7,3,2,4,5,6,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[7,3,2,4,6,5,1]=>[4,2,1]=>[3,2,1,1] [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[6,3,2,5,4,1,7]=>[4,2,1]=>[3,2,1,1] [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[6,3,2,5,4,7,1]=>[4,2,1]=>[3,2,1,1] [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[7,3,2,5,4,6,1]=>[4,2,1]=>[3,2,1,1] [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[7,3,2,5,6,4,1]=>[4,2,1]=>[3,2,1,1] [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[7,3,2,6,5,4,1]=>[5,2]=>[2,2,1,1,1] [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[5,3,4,2,1,6,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,3,4,2,1,7,6]=>[4,2,1]=>[3,2,1,1] [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[5,3,4,2,6,1,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[5,3,4,2,6,7,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[5,3,4,2,7,6,1]=>[4,2,1]=>[3,2,1,1] [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[6,3,4,2,5,1,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[6,3,4,2,5,7,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[7,3,4,2,5,6,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[7,3,4,2,6,5,1]=>[4,2,1]=>[3,2,1,1] [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[6,3,4,5,2,1,7]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[6,3,4,5,2,7,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[7,3,4,5,2,6,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[7,3,4,5,6,2,1]=>[4,1,1,1]=>[4,1,1,1] [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[7,3,4,6,5,2,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,3,5,4,2,1,7]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[6,3,5,4,2,7,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[7,3,5,4,2,6,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[7,3,5,4,6,2,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[7,3,6,4,5,2,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[7,3,6,5,4,2,1]=>[6,1]=>[2,1,1,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,4,3,2,1,6,7]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,4,3,2,1,7,6]=>[5,2]=>[2,2,1,1,1] [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,4,3,2,6,1,7]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,4,3,2,6,7,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,4,3,2,7,6,1]=>[5,2]=>[2,2,1,1,1] [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,4,3,2,5,1,7]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[6,4,3,2,5,7,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[7,4,3,2,5,6,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[7,4,3,2,6,5,1]=>[5,2]=>[2,2,1,1,1] [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,4,3,5,2,1,7]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[6,4,3,5,2,7,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[7,4,3,5,2,6,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[7,4,3,5,6,2,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[7,4,3,6,5,2,1]=>[5,2]=>[2,2,1,1,1] [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,5,3,4,2,1,7]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[6,5,3,4,2,7,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[7,5,3,4,2,6,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[7,5,3,4,6,2,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[7,6,3,4,5,2,1]=>[5,1,1]=>[3,1,1,1,1] [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[7,6,3,5,4,2,1]=>[6,1]=>[2,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,5,4,3,2,1,7]=>[6,1]=>[2,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,5,4,3,2,7,1]=>[6,1]=>[2,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[7,5,4,3,2,6,1]=>[6,1]=>[2,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[7,5,4,3,6,2,1]=>[6,1]=>[2,1,1,1,1,1] [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[7,6,4,3,5,2,1]=>[6,1]=>[2,1,1,1,1,1] [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[7,6,4,5,3,2,1]=>[6,1]=>[2,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,6,5,4,3,2,1]=>[7]=>[1,1,1,1,1,1,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1]=>[8] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,8,7]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,7,6,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,7,8,6]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,8,7,6]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,6,5,7,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,6,5,8,7]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,6,7,5,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,5]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,6,8,7,5]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,4,7,6,5,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,7,6,8,5]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,8,6,7,5]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,8,7,6,5]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,3,5,4,6,8,7]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,8]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,3,5,4,7,8,6]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3,5,4,8,7,6]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,3,5,6,4,7,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,3,5,6,4,8,7]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,3,5,6,7,4,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,4]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,3,5,6,8,7,4]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,3,5,7,6,4,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,3,5,7,6,8,4]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,3,5,8,6,7,4]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,5,8,7,6,4]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,3,6,5,4,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,3,6,5,4,8,7]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,6,5,7,4,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,6,5,7,8,4]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,6,5,8,7,4]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,3,7,5,6,4,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,3,7,5,6,8,4]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,8,5,6,7,4]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,8,5,7,6,4]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,3,7,6,5,4,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,3,7,6,5,8,4]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,3,8,6,5,7,4]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,3,8,6,7,5,4]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,8,7,6,5,4]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,4,3,5,6,8,7]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5,7,6,8]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,2,4,3,5,7,8,6]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,2,4,3,5,8,7,6]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,5,7,8]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,8,7]=>[2,2,2,1,1]=>[5,3] [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,2,4,3,6,7,5,8]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,4,3,6,7,8,5]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,4,3,6,8,7,5]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,4,3,7,6,8,5]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,3,8,7,6,5]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,2,4,5,3,7,6,8]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,2,4,5,3,7,8,6]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,4,5,3,8,7,6]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,6,3,7,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,6,3,8,7]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,7,3,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,3]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,6,8,7,3]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,4,5,8,6,7,3]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,4,5,8,7,6,3]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,2,4,6,5,3,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,2,4,7,5,6,8,3]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,4,8,5,6,7,3]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,4,7,6,5,8,3]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,4,8,6,5,7,3]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4,8,7,6,5,3]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,5,4,3,6,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,5,4,3,6,8,7]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,5,4,3,7,8,6]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,2,5,4,6,7,3,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,5,4,6,7,8,3]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,2,5,4,6,8,7,3]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,2,5,4,7,6,8,3]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,2,5,4,8,6,7,3]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,5,4,8,7,6,3]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,6,4,5,3,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,2,6,4,5,7,8,3]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,2,6,4,5,8,7,3]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,2,7,4,5,6,8,3]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,8,4,5,6,7,3]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,8,4,6,7,5,3]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,8,4,7,6,5,3]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,6,5,4,3,7,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,6,5,4,7,8,3]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,6,5,4,8,7,3]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,8,5,4,6,7,3]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,8,5,4,7,6,3]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,2,8,5,6,4,7,3]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,8,5,6,7,4,3]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,7,6,5,4,3,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,7,6,5,4,8,3]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,8,6,5,4,7,3]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,8,7,5,6,4,3]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,8,7,6,5,4,3]=>[6,1,1]=>[3,1,1,1,1,1] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,8,7]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,7,6,8]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,5,7,8,6]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,5,8,7,6]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,6,5,7,8]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,3,2,4,6,5,8,7]=>[2,2,2,1,1]=>[5,3] [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,2,4,6,7,8,5]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,2,4,6,8,7,5]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,3,2,4,7,6,5,8]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,3,2,4,7,6,8,5]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,3,2,4,8,6,7,5]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,8,7,6,5]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,8]=>[2,2,2,1,1]=>[5,3] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,8,6]=>[2,2,2,1,1]=>[5,3] [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,8,7,6]=>[3,2,2,1]=>[4,3,1] [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,2,5,6,4,7,8]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,2,5,6,4,8,7]=>[2,2,2,1,1]=>[5,3] [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,2,5,6,7,4,8]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,8,4]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,2,5,6,8,7,4]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,2,5,7,6,4,8]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,6,8,4]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,2,5,8,7,6,4]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,3,2,6,5,4,7,8]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,3,2,6,5,4,8,7]=>[3,2,2,1]=>[4,3,1] [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,2,6,5,7,4,8]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,5,7,8,4]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2,6,5,8,7,4]=>[3,2,2,1]=>[4,3,1] [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,2,7,5,6,8,4]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2,8,5,7,6,4]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,3,2,7,6,5,4,8]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,3,2,7,6,5,8,4]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,3,2,8,6,5,7,4]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,3,2,8,6,7,5,4]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,8,7,6,5,4]=>[5,2,1]=>[3,2,1,1,1] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,4,2,5,6,8,7]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,4,2,5,7,6,8]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,4,2,5,7,8,6]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,4,2,5,8,7,6]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,4,2,6,5,8,7]=>[2,2,2,1,1]=>[5,3] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,6,7,5,8]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,4,2,6,7,8,5]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,4,2,6,8,7,5]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,4,2,7,6,8,5]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,4,2,8,6,7,5]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,4,2,8,7,6,5]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,5,2,6,7,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,5,2,6,8,7]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,5,2,7,6,8]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,5,2,7,8,6]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,5,2,8,7,6]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,6,2,7,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,6,2,8,7]=>[2,2,1,1,1,1]=>[6,2] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,2,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,2]=>[2,1,1,1,1,1,1]=>[7,1] [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,8,7,2]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,5,7,6,2,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,5,7,6,8,2]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,5,8,6,7,2]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,8,7,6,2]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,4,6,5,7,2,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,4,6,5,7,8,2]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,4,8,5,6,7,2]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,4,7,6,5,8,2]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,4,8,6,5,7,2]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,4,8,7,6,5,2]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,3,5,4,2,6,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,3,5,4,2,6,8,7]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,3,5,4,2,7,6,8]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,3,5,4,2,7,8,6]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,3,5,4,6,2,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,3,5,4,6,7,2,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,5,4,6,7,8,2]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,3,5,4,7,6,2,8]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,5,4,7,6,8,2]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,3,6,4,5,2,8,7]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,6,4,5,7,2,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,3,6,4,5,7,8,2]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,6,4,5,8,7,2]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,3,7,4,5,6,2,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,3,7,4,5,6,8,2]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,8,4,5,6,7,2]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,8,4,6,5,7,2]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,3,6,5,4,2,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,3,6,5,4,7,2,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,3,6,5,4,8,7,2]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,3,8,5,4,6,7,2]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,3,8,5,4,7,6,2]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,8,5,6,7,4,2]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,3,8,5,7,6,4,2]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,3,7,6,5,4,2,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,8,6,5,7,4,2]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,8,7,5,6,4,2]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,8,7,6,5,4,2]=>[6,1,1]=>[3,1,1,1,1,1] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,4,3,2,5,6,8,7]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,4,3,2,5,7,6,8]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,4,3,2,5,7,8,6]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,4,3,2,5,8,7,6]=>[3,3,1,1]=>[4,2,2] [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,4,3,2,6,7,5,8]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,4,3,2,6,7,8,5]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,4,3,2,6,8,7,5]=>[3,3,1,1]=>[4,2,2] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,7,6,5,8]=>[3,3,1,1]=>[4,2,2] [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,4,3,2,7,6,8,5]=>[3,3,1,1]=>[4,2,2] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,4,3,2,8,7,6,5]=>[4,3,1]=>[3,2,2,1] [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,4,3,5,2,7,6,8]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,4,3,5,2,7,8,6]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,4,3,5,2,8,7,6]=>[3,3,1,1]=>[4,2,2] [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,4,3,5,6,2,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,8,2]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,4,3,5,7,6,2,8]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,3,5,8,6,7,2]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,3,5,8,7,6,2]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,4,3,6,5,2,7,8]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,4,3,6,5,7,2,8]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,3,6,5,7,8,2]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,8,7,2]=>[3,2,2,1]=>[4,3,1] [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,3,8,5,6,7,2]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,3,8,5,7,6,2]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,3,8,6,5,7,2]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,3,8,6,7,5,2]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,3,8,7,6,5,2]=>[5,2,1]=>[3,2,1,1,1] [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,5,3,4,2,6,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,5,3,4,2,7,8,6]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,5,3,4,2,8,7,6]=>[3,3,1,1]=>[4,2,2] [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,5,3,4,6,2,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,5,3,4,6,2,8,7]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,5,3,4,6,7,2,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,5,3,4,6,7,8,2]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,5,3,4,7,6,2,8]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,5,3,4,8,6,7,2]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,6,3,4,5,8,7,2]=>[3,2,1,1,1]=>[5,2,1] [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,7,3,4,5,6,8,2]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,8,3,4,5,6,7,2]=>[3,1,1,1,1,1]=>[6,1,1] [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,8,3,4,6,7,5,2]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,6,3,5,4,2,7,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,6,3,5,4,8,7,2]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,7,3,5,4,6,2,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,8,3,5,4,6,7,2]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,8,3,5,4,7,6,2]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,8,3,5,6,4,7,2]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,8,3,5,6,7,4,2]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,8,3,5,7,6,4,2]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,7,3,6,5,4,8,2]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,8,3,6,5,4,7,2]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,8,3,7,5,6,4,2]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,8,3,7,6,5,4,2]=>[6,1,1]=>[3,1,1,1,1,1] [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,5,4,3,2,6,7,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,5,4,3,2,7,6,8]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,5,4,3,2,7,8,6]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,5,4,3,2,8,7,6]=>[4,3,1]=>[3,2,2,1] [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,5,4,3,6,2,7,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,5,4,3,6,7,2,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,4,3,6,7,8,2]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,4,3,6,8,7,2]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,5,4,3,8,7,6,2]=>[4,3,1]=>[3,2,2,1] [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,6,4,3,5,2,7,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,6,4,3,5,8,7,2]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,8,4,3,5,6,7,2]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,8,4,3,5,7,6,2]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,7,4,3,6,5,8,2]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,8,4,3,6,5,7,2]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,8,4,3,6,7,5,2]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,6,4,5,3,2,7,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,6,4,5,3,2,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,6,4,5,3,8,7,2]=>[4,2,1,1]=>[4,2,1,1] [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,7,4,5,3,6,8,2]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,8,4,5,3,6,7,2]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,7,4,5,6,3,2,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,7,4,5,6,3,8,2]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,8,4,5,6,7,3,2]=>[4,1,1,1,1]=>[5,1,1,1] [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,7,4,6,5,3,2,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,8,4,6,5,3,7,2]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,8,4,6,5,7,3,2]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,8,4,7,6,5,3,2]=>[6,1,1]=>[3,1,1,1,1,1] [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,6,5,4,3,2,7,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,6,5,4,3,2,8,7]=>[5,2,1]=>[3,2,1,1,1] [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,6,5,4,3,7,8,2]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,5,4,3,8,7,2]=>[5,2,1]=>[3,2,1,1,1] [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,7,5,4,3,6,2,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,7,5,4,3,6,8,2]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,8,5,4,3,6,7,2]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,8,5,4,3,7,6,2]=>[5,2,1]=>[3,2,1,1,1] [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,8,5,4,6,3,7,2]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,8,5,4,6,7,3,2]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,8,5,4,7,6,3,2]=>[5,2,1]=>[3,2,1,1,1] [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,7,6,4,5,3,2,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,8,6,4,5,3,7,2]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,8,6,4,5,7,3,2]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,8,7,4,5,6,3,2]=>[5,1,1,1]=>[4,1,1,1,1] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,8,7,4,6,5,3,2]=>[6,1,1]=>[3,1,1,1,1,1] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,7,6,5,4,3,2,8]=>[6,1,1]=>[3,1,1,1,1,1] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,7,6,5,4,3,8,2]=>[6,1,1]=>[3,1,1,1,1,1] [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,8,6,5,4,3,7,2]=>[6,1,1]=>[3,1,1,1,1,1] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,8,6,5,4,7,3,2]=>[6,1,1]=>[3,1,1,1,1,1] [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,8,7,5,4,6,3,2]=>[6,1,1]=>[3,1,1,1,1,1] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,8,7,5,6,4,3,2]=>[6,1,1]=>[3,1,1,1,1,1] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,7,6,5,4,3,2]=>[7,1]=>[2,1,1,1,1,1,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,8,7]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,7,6,8]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,7,8,6]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,5,8,7,6]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,4,6,5,7,8]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,4,6,5,8,7]=>[2,2,2,1,1]=>[5,3] [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,4,6,7,5,8]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,4,6,7,8,5]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,4,7,6,8,5]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,4,8,6,7,5]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,8,7,6,5]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4,6,8,7]=>[2,2,2,1,1]=>[5,3] [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,3,5,4,7,8,6]=>[2,2,2,1,1]=>[5,3] [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,3,5,4,8,7,6]=>[3,2,2,1]=>[4,3,1] [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,3,5,6,4,8,7]=>[2,2,2,1,1]=>[5,3] [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,8,4]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,3,5,8,6,7,4]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,3,6,5,8,7,4]=>[3,2,2,1]=>[4,3,1] [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,3,8,5,6,7,4]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,8,5,7,6,4]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,3,8,6,5,7,4]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,3,8,6,7,5,4]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,8,7,6,5,4]=>[5,2,1]=>[3,2,1,1,1] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,4,3,5,6,8,7]=>[2,2,2,1,1]=>[5,3] [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,4,3,5,7,8,6]=>[2,2,2,1,1]=>[5,3] [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,4,3,5,8,7,6]=>[3,2,2,1]=>[4,3,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,5,7,8]=>[2,2,2,1,1]=>[5,3] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7]=>[2,2,2,2]=>[4,4] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,5]=>[2,2,2,1,1]=>[5,3] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,7,5]=>[3,2,2,1]=>[4,3,1] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,8,5]=>[3,2,2,1]=>[4,3,1] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,3,8,6,7,5]=>[3,2,2,1]=>[4,3,1] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,7,6,5]=>[4,2,2]=>[3,3,1,1] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,4,5,3,6,7,8]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,4,5,3,6,8,7]=>[2,2,2,1,1]=>[5,3] [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,1,4,5,3,8,7,6]=>[3,2,2,1]=>[4,3,1] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,6,3,8,7]=>[2,2,2,1,1]=>[5,3] [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,7,3,8]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,3]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,6,8,7,3]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,4,5,8,6,7,3]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,4,5,8,7,6,3]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,4,6,5,3,7,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,7]=>[3,2,2,1]=>[4,3,1] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,6,5,8,7,3]=>[3,2,2,1]=>[4,3,1] [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,4,8,5,6,7,3]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,8,5,7,6,3]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,4,7,6,5,8,3]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,4,8,6,5,7,3]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,4,8,6,7,5,3]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4,8,7,6,5,3]=>[5,2,1]=>[3,2,1,1,1] [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,5,4,3,6,7,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,5,4,3,7,6,8]=>[3,2,2,1]=>[4,3,1] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7]=>[3,2,2,1]=>[4,3,1] [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,5,4,6,7,8,3]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,1,5,4,6,8,7,3]=>[3,2,2,1]=>[4,3,1] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,8,3]=>[3,2,2,1]=>[4,3,1] [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,1,5,4,8,6,7,3]=>[3,2,2,1]=>[4,3,1] [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,5,4,8,7,6,3]=>[4,2,2]=>[3,3,1,1] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,6,4,5,3,8,7]=>[3,2,2,1]=>[4,3,1] [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,1,6,4,5,7,8,3]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,1,6,4,5,8,7,3]=>[3,2,2,1]=>[4,3,1] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,8,4,5,6,7,3]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,1,8,4,5,7,6,3]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,1,7,4,6,5,8,3]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,8,4,6,5,7,3]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,8,4,6,7,5,3]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,8,4,7,6,5,3]=>[5,2,1]=>[3,2,1,1,1] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,5,4,3,8,7]=>[4,2,2]=>[3,3,1,1] [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,6,5,4,8,7,3]=>[4,2,2]=>[3,3,1,1] [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,8,5,4,7,6,3]=>[4,2,2]=>[3,3,1,1] [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,1,7,5,6,4,8,3]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,1,8,5,6,4,7,3]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,8,5,6,7,4,3]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,8,5,7,6,4,3]=>[5,2,1]=>[3,2,1,1,1] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,7,6,5,4,3,8]=>[5,2,1]=>[3,2,1,1,1] [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,7,6,5,4,8,3]=>[5,2,1]=>[3,2,1,1,1] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,8,6,5,4,7,3]=>[5,2,1]=>[3,2,1,1,1] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,8,6,5,7,4,3]=>[5,2,1]=>[3,2,1,1,1] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,8,7,5,6,4,3]=>[5,2,1]=>[3,2,1,1,1] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,7,6,5,4,3]=>[6,2]=>[2,2,1,1,1,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,6,8,7]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,5,7,6,8]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,3,1,4,6,5,8,7]=>[2,2,2,1,1]=>[5,3] [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,1,4,6,7,5,8]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,1,4,6,7,8,5]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,7,6,8,5]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,8,7,6,5]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,3,1,5,4,6,7,8]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,8]=>[2,2,2,1,1]=>[5,3] [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,3,1,5,6,4,7,8]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,3,1,5,6,7,4,8]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,8,4]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,3,1,5,7,6,8,4]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,3,1,5,8,6,7,4]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,3,1,6,5,4,7,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,3,1,6,5,4,8,7]=>[3,2,2,1]=>[4,3,1] [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,6,5,7,4,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,1,6,5,8,7,4]=>[3,2,2,1]=>[4,3,1] [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,3,1,7,5,6,4,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,1,8,5,6,7,4]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,3,1,7,6,5,8,4]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,1,8,6,7,5,4]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,1,8,7,6,5,4]=>[5,2,1]=>[3,2,1,1,1] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,4,1,5,6,8,7]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,4,1,5,7,6,8]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,4,1,5,7,8,6]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,4,1,5,8,7,6]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,4,1,6,5,7,8]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,8,7]=>[2,2,2,1,1]=>[5,3] [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,4,1,6,7,5,8]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,5]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,4,1,6,8,7,5]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,4,1,7,6,5,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,4,1,7,6,8,5]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,8,6,7,5]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,8,7,6,5]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,5,1,6,8,7]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,1,7,6,8]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,1,7,8,6]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,1,8,7,6]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,1,7,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,1,8,7]=>[2,2,1,1,1,1]=>[6,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,1,8]=>[2,1,1,1,1,1,1]=>[7,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,1]=>[2,1,1,1,1,1,1]=>[7,1] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,8,7,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,7,6,1,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,7,6,8,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,8,6,7,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,8,7,6,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,4,6,5,1,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,4,6,5,7,1,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,4,6,5,8,7,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,4,7,5,6,1,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,4,7,5,6,8,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,8,5,6,7,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,4,8,5,7,6,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,4,7,6,5,1,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,4,7,6,5,8,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,4,8,6,5,7,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,4,8,6,7,5,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,8,7,6,5,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,5,4,1,6,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,3,5,4,1,6,8,7]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,3,5,4,1,7,6,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,5,4,1,8,7,6]=>[3,3,1,1]=>[4,2,2] [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,3,5,4,6,1,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,3,5,4,6,7,1,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,5,4,6,7,8,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,5,4,7,6,8,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,5,4,8,6,7,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,5,4,8,7,6,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,3,6,4,5,1,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,3,6,4,5,1,8,7]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,6,4,5,7,8,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,3,6,4,5,8,7,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,7,4,5,6,8,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,8,4,5,6,7,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,7,4,6,5,8,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,8,4,6,7,5,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,6,5,4,1,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,6,5,4,7,8,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,3,7,5,4,6,1,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,7,5,4,6,8,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,8,5,4,6,7,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,3,7,5,6,4,1,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,7,5,6,4,8,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,8,5,6,4,7,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,8,5,6,7,4,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,8,5,7,6,4,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,3,7,6,5,4,1,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,7,6,5,4,8,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,8,6,5,4,7,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,8,7,6,5,4,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[2,4,3,1,5,8,7,6]=>[3,3,1,1]=>[4,2,2] [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[2,4,3,1,6,5,7,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,7]=>[3,2,2,1]=>[4,3,1] [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,4,3,1,6,7,8,5]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,1,6,8,7,5]=>[3,3,1,1]=>[4,2,2] [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,3,1,7,6,8,5]=>[3,3,1,1]=>[4,2,2] [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,4,3,1,8,6,7,5]=>[3,3,1,1]=>[4,2,2] [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,3,1,8,7,6,5]=>[4,3,1]=>[3,2,2,1] [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,4,3,5,1,6,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[2,4,3,5,1,6,8,7]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,4,3,5,1,7,6,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[2,4,3,5,1,7,8,6]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,4,3,5,1,8,7,6]=>[3,3,1,1]=>[4,2,2] [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[2,4,3,5,6,1,8,7]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,8,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,4,3,5,6,8,7,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,7,6,8,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[2,4,3,5,8,6,7,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,4,3,5,8,7,6,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,6,5,1,7,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,6,5,1,8,7]=>[3,2,2,1]=>[4,3,1] [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,6,5,7,1,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,6,5,7,8,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,8,7,1]=>[3,2,2,1]=>[4,3,1] [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,4,3,7,5,6,8,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,4,3,8,5,6,7,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,4,3,8,5,7,6,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,4,3,8,6,5,7,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,4,3,8,6,7,5,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,4,3,8,7,6,5,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,5,3,4,1,6,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[2,5,3,4,1,8,7,6]=>[3,3,1,1]=>[4,2,2] [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[2,5,3,4,6,7,1,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,5,3,4,6,7,8,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[2,5,3,4,6,8,7,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[2,5,3,4,7,6,8,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[2,5,3,4,8,6,7,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,5,3,4,8,7,6,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,6,3,4,5,1,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,6,3,4,5,7,8,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,6,3,4,5,8,7,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,7,3,4,5,6,1,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,8,3,4,5,6,7,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,8,3,4,5,7,6,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[2,6,3,5,4,1,7,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,6,3,5,4,1,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,6,3,5,4,7,8,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,6,3,5,4,8,7,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,7,3,5,4,6,8,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,8,3,5,4,7,6,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,7,3,5,6,4,8,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,8,3,5,6,7,4,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,8,3,5,7,6,4,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,7,3,6,5,4,1,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,8,3,7,5,6,4,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,8,3,7,6,5,4,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,5,4,3,1,6,7,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[2,5,4,3,1,6,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,5,4,3,1,7,6,8]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,5,4,3,1,7,8,6]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,5,4,3,1,8,7,6]=>[4,3,1]=>[3,2,2,1] [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,5,4,3,6,1,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,5,4,3,6,7,1,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,5,4,3,8,6,7,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,5,4,3,8,7,6,1]=>[4,3,1]=>[3,2,2,1] [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[2,6,4,3,5,1,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,6,4,3,5,7,8,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[2,6,4,3,5,8,7,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,7,4,3,5,6,8,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,8,4,3,5,6,7,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,8,4,3,5,7,6,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,7,4,3,6,5,8,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,8,4,3,6,5,7,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,8,4,3,6,7,5,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,8,4,3,7,6,5,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[2,6,4,5,3,1,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,6,4,5,3,7,8,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[2,6,4,5,3,8,7,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[2,8,4,5,3,6,7,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[2,7,4,5,6,3,1,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[2,7,4,5,6,3,8,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,8,4,5,6,3,7,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,8,4,5,6,7,3,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,7,4,6,5,3,1,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,7,4,6,5,3,8,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,8,4,6,5,3,7,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,8,4,7,6,5,3,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,6,5,4,3,1,8,7]=>[5,2,1]=>[3,2,1,1,1] [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,6,5,4,3,7,8,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,6,5,4,3,8,7,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,7,5,4,3,6,8,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,8,5,4,3,6,7,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,8,5,4,3,7,6,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,7,5,4,6,3,8,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,8,5,4,6,7,3,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,8,5,4,7,6,3,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,7,6,4,5,3,8,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,8,7,4,5,6,3,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,8,7,4,6,5,3,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,7,6,5,4,3,1,8]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,7,6,5,4,3,8,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,8,7,5,4,6,3,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,8,7,5,6,4,3,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,8,7,6,5,4,3,1]=>[7,1]=>[2,1,1,1,1,1,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,6,8,7]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,5,7,8,6]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,5,8,7,6]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,2,1,4,6,7,8,5]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,2,1,4,6,8,7,5]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,2,1,4,7,6,5,8]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,2,1,4,7,6,8,5]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,2,1,4,8,6,7,5]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,2,1,4,8,7,6,5]=>[4,3,1]=>[3,2,2,1] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,7,6,8]=>[3,2,2,1]=>[4,3,1] [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,2,1,5,6,4,7,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,2,1,5,6,7,4,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,8,4]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,2,1,5,6,8,7,4]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,2,1,5,7,6,4,8]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,2,1,5,7,6,8,4]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,2,1,5,8,6,7,4]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,1,5,8,7,6,4]=>[4,3,1]=>[3,2,2,1] [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,2,1,6,5,4,7,8]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,2,1,6,5,7,8,4]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,2,1,6,5,8,7,4]=>[3,3,2]=>[3,3,2] [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,2,1,7,5,6,8,4]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,2,1,8,5,6,7,4]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,2,1,8,5,7,6,4]=>[4,3,1]=>[3,2,2,1] [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,2,1,7,6,5,4,8]=>[4,3,1]=>[3,2,2,1] [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,2,1,7,6,5,8,4]=>[4,3,1]=>[3,2,2,1] [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,2,1,8,6,5,7,4]=>[4,3,1]=>[3,2,2,1] [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,1,8,6,7,5,4]=>[4,3,1]=>[3,2,2,1] [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,2,1,8,7,6,5,4]=>[5,3]=>[2,2,2,1,1] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,2,4,1,5,6,8,7]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,2,4,1,5,7,6,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,2,4,1,5,7,8,6]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,2,4,1,5,8,7,6]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,2,4,1,6,5,7,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7]=>[3,2,2,1]=>[4,3,1] [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,2,4,1,6,7,5,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,2,4,1,6,7,8,5]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,2,4,1,6,8,7,5]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,2,4,1,7,6,5,8]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,8,5]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,2,4,1,8,6,7,5]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,2,4,1,8,7,6,5]=>[4,3,1]=>[3,2,2,1] [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,5,1,6,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,5,1,8,7,6]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,6,1,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,7,1,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,6,8,7,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,5,7,6,8,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,5,8,6,7,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,2,4,6,5,8,7,1]=>[3,2,2,1]=>[4,3,1] [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[3,2,4,7,5,6,8,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[3,2,4,8,5,6,7,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,2,4,8,6,7,5,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,2,4,8,7,6,5,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,5,4,1,6,7,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,5,4,1,6,8,7]=>[3,2,2,1]=>[4,3,1] [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,5,4,1,7,6,8]=>[3,2,2,1]=>[4,3,1] [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,5,4,1,7,8,6]=>[3,2,2,1]=>[4,3,1] [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,5,4,1,8,7,6]=>[3,3,2]=>[3,3,2] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,8,7]=>[3,2,2,1]=>[4,3,1] [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,5,4,6,7,8,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,5,4,6,8,7,1]=>[3,2,2,1]=>[4,3,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,7,6,1,8]=>[3,2,2,1]=>[4,3,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,8,1]=>[3,2,2,1]=>[4,3,1] [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,5,4,8,6,7,1]=>[3,2,2,1]=>[4,3,1] [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,2,6,4,5,1,8,7]=>[3,2,2,1]=>[4,3,1] [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>[3,2,6,4,5,7,1,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,2,7,4,5,6,1,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,8,4,5,6,7,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,7,4,6,5,1,8]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,7,4,6,5,8,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,8,4,6,5,7,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,2,6,5,4,1,8,7]=>[4,2,2]=>[3,3,1,1] [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,2,6,5,4,7,1,8]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,2,6,5,4,8,7,1]=>[4,2,2]=>[3,3,1,1] [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,2,7,5,4,6,1,8]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,2,8,5,4,6,7,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,2,8,5,4,7,6,1]=>[4,2,2]=>[3,3,1,1] [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,2,7,5,6,4,1,8]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,2,7,5,6,4,8,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,2,8,5,6,4,7,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,2,8,5,7,6,4,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,2,7,6,5,4,1,8]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,2,7,6,5,4,8,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,2,8,6,5,7,4,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,8,7,5,6,4,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,2,8,7,6,5,4,1]=>[6,2]=>[2,2,1,1,1,1] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,2,3,1,5,6,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[4,2,3,1,5,7,8,6]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[4,2,3,1,6,5,8,7]=>[3,2,2,1]=>[4,3,1] [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[4,2,3,1,6,7,8,5]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[4,2,3,1,6,8,7,5]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[4,2,3,1,7,6,8,5]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,2,3,1,8,6,7,5]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,2,3,1,8,7,6,5]=>[4,3,1]=>[3,2,2,1] [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[4,2,3,5,1,6,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[4,2,3,5,1,6,8,7]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[4,2,3,5,1,7,8,6]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[4,2,3,5,1,8,7,6]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[4,2,3,5,6,1,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[4,2,3,5,6,1,8,7]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[4,2,3,5,6,7,1,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,8,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[4,2,3,5,6,8,7,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[4,2,3,5,8,7,6,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[4,2,3,6,5,1,7,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[4,2,3,6,5,1,8,7]=>[3,2,2,1]=>[4,3,1] [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,3,6,5,8,7,1]=>[3,2,2,1]=>[4,3,1] [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[4,2,3,7,5,6,1,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[4,2,3,7,5,6,8,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[4,2,3,8,5,6,7,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,3,8,5,7,6,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[4,2,3,7,6,5,8,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[4,2,3,8,6,7,5,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,2,3,8,7,6,5,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[5,2,3,4,1,6,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[5,2,3,4,1,6,8,7]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[5,2,3,4,1,7,8,6]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[5,2,3,4,1,8,7,6]=>[3,3,1,1]=>[4,2,2] [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[5,2,3,4,6,1,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[5,2,3,4,6,1,8,7]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[5,2,3,4,6,7,1,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[5,2,3,4,6,7,8,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[5,2,3,4,7,6,1,8]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[5,2,3,4,8,6,7,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[5,2,3,4,8,7,6,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[6,2,3,4,5,1,7,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[6,2,3,4,5,1,8,7]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[6,2,3,4,5,7,1,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[6,2,3,4,5,7,8,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[6,2,3,4,5,8,7,1]=>[3,2,1,1,1]=>[5,2,1] [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[7,2,3,4,5,6,1,8]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[7,2,3,4,5,6,8,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[8,2,3,4,5,6,7,1]=>[3,1,1,1,1,1]=>[6,1,1] [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[8,2,3,4,5,7,6,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[7,2,3,4,6,5,1,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[8,2,3,4,7,6,5,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[6,2,3,5,4,1,7,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[6,2,3,5,4,1,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[6,2,3,5,4,7,1,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[6,2,3,5,4,7,8,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[7,2,3,5,4,6,1,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[8,2,3,5,4,6,7,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[8,2,3,5,4,7,6,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[7,2,3,5,6,4,1,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[8,2,3,5,6,7,4,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[8,2,3,5,7,6,4,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,6,5,4,1,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[8,2,3,7,5,6,4,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[8,2,3,7,6,5,4,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[5,2,4,3,1,6,7,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,2,4,3,1,6,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[5,2,4,3,1,7,6,8]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,2,4,3,1,8,7,6]=>[4,3,1]=>[3,2,2,1] [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[5,2,4,3,6,1,7,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[5,2,4,3,6,1,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[5,2,4,3,7,6,1,8]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[5,2,4,3,7,6,8,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[5,2,4,3,8,7,6,1]=>[4,3,1]=>[3,2,2,1] [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[6,2,4,3,5,1,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,2,4,3,6,5,1,8]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[7,2,4,3,6,5,8,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[8,2,4,3,6,5,7,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[8,2,4,3,6,7,5,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[8,2,4,3,7,6,5,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[6,2,4,5,3,1,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[6,2,4,5,3,8,7,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[7,2,4,5,3,6,1,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[7,2,4,5,3,6,8,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[8,2,4,5,3,7,6,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[8,2,4,5,6,3,7,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[8,2,4,5,6,7,3,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[8,2,4,5,7,6,3,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,4,6,5,3,1,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[7,2,4,6,5,3,8,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[8,2,4,7,5,6,3,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[8,2,4,7,6,5,3,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,2,5,4,3,1,7,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,2,5,4,3,1,8,7]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[6,2,5,4,3,7,1,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[6,2,5,4,3,7,8,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,2,5,4,3,6,1,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[8,2,5,4,3,6,7,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[8,2,5,4,3,7,6,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[7,2,5,4,6,3,8,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,6,4,5,3,1,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[7,2,6,4,5,3,8,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[8,2,6,4,5,3,7,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[8,2,6,4,5,7,3,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[8,2,7,4,5,6,3,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[8,2,7,4,6,5,3,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,2,6,5,4,3,1,8]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[7,2,6,5,4,3,8,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[8,2,6,5,4,3,7,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[8,2,6,5,4,7,3,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[8,2,7,5,4,6,3,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[8,2,7,5,6,4,3,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[8,2,7,6,5,4,3,1]=>[7,1]=>[2,1,1,1,1,1,1] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,3,2,1,5,6,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,3,2,1,5,7,8,6]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,3,2,1,6,5,7,8]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7]=>[4,2,2]=>[3,3,1,1] [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,3,2,1,6,7,8,5]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,3,2,1,6,8,7,5]=>[4,3,1]=>[3,2,2,1] [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,2,1,7,6,8,5]=>[4,3,1]=>[3,2,2,1] [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,2,1,8,6,7,5]=>[4,3,1]=>[3,2,2,1] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,8,7,6,5]=>[4,4]=>[2,2,2,2] [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,3,2,5,1,6,7,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[4,3,2,5,1,7,8,6]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,3,2,5,1,8,7,6]=>[4,3,1]=>[3,2,2,1] [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[4,3,2,5,6,1,7,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,3,2,5,6,1,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,7,1,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,3,2,5,6,8,7,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,3,2,5,7,6,1,8]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[4,3,2,5,7,6,8,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,3,2,5,8,7,6,1]=>[4,3,1]=>[3,2,2,1] [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,3,2,6,5,1,7,8]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[4,3,2,6,5,1,8,7]=>[4,2,2]=>[3,3,1,1] [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[4,3,2,6,5,7,1,8]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,3,2,6,5,8,7,1]=>[4,2,2]=>[3,3,1,1] [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,3,2,7,5,6,8,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,3,2,8,5,6,7,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,3,2,8,5,7,6,1]=>[4,3,1]=>[3,2,2,1] [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,2,7,6,5,8,1]=>[4,3,1]=>[3,2,2,1] [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,2,8,6,7,5,1]=>[4,3,1]=>[3,2,2,1] [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,3,2,8,7,6,5,1]=>[5,3]=>[2,2,2,1,1] [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[5,3,2,4,1,6,7,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[5,3,2,4,1,6,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[5,3,2,4,1,7,6,8]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[5,3,2,4,1,8,7,6]=>[4,3,1]=>[3,2,2,1] [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[5,3,2,4,6,1,7,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[5,3,2,4,6,1,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[5,3,2,4,6,7,8,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[5,3,2,4,7,6,1,8]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[6,3,2,4,5,7,1,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[7,3,2,4,5,6,8,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[8,3,2,4,5,6,7,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[8,3,2,4,6,5,7,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[8,3,2,4,6,7,5,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[8,3,2,4,7,6,5,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[6,3,2,5,4,1,8,7]=>[4,2,2]=>[3,3,1,1] [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[6,3,2,5,4,7,1,8]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[6,3,2,5,4,7,8,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[6,3,2,5,4,8,7,1]=>[4,2,2]=>[3,3,1,1] [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[7,3,2,5,4,6,1,8]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[8,3,2,5,4,7,6,1]=>[4,2,2]=>[3,3,1,1] [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[7,3,2,5,6,4,8,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[8,3,2,5,6,7,4,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[8,3,2,5,7,6,4,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[8,3,2,6,5,7,4,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[8,3,2,7,5,6,4,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[8,3,2,7,6,5,4,1]=>[6,2]=>[2,2,1,1,1,1] [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[5,3,4,2,1,6,7,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[5,3,4,2,1,6,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[5,3,4,2,1,7,8,6]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,3,4,2,1,8,7,6]=>[4,3,1]=>[3,2,2,1] [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[5,3,4,2,6,1,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[5,3,4,2,7,6,1,8]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[5,3,4,2,7,6,8,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[5,3,4,2,8,6,7,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[6,3,4,2,5,1,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[8,3,4,2,5,6,7,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[7,3,4,2,6,5,8,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[6,3,4,5,2,1,8,7]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[6,3,4,5,2,7,1,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[6,3,4,5,2,8,7,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[8,3,4,5,2,6,7,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[8,3,4,5,2,7,6,1]=>[4,2,1,1]=>[4,2,1,1] [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[7,3,4,5,6,2,1,8]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[8,3,4,5,6,2,7,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[8,3,4,5,6,7,2,1]=>[4,1,1,1,1]=>[5,1,1,1] [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[8,3,4,5,7,6,2,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[8,3,4,7,6,5,2,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,3,5,4,2,1,8,7]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[6,3,5,4,2,7,1,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[6,3,5,4,2,7,8,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[6,3,5,4,2,8,7,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[7,3,5,4,2,6,1,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[8,3,5,4,2,6,7,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[8,3,5,4,2,7,6,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,5,4,6,2,1,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[7,3,5,4,6,2,8,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[8,3,5,4,6,7,2,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[8,3,5,4,7,6,2,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[7,3,6,4,5,2,1,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[7,3,6,4,5,2,8,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[8,3,6,4,5,2,7,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[8,3,6,4,5,7,2,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[8,3,7,4,5,6,2,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[8,3,7,4,6,5,2,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,3,6,5,4,2,1,8]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[7,3,6,5,4,2,8,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[8,3,6,5,4,2,7,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[8,3,6,5,4,7,2,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[8,3,7,5,4,6,2,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[8,3,7,5,6,4,2,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[8,3,7,6,5,4,2,1]=>[7,1]=>[2,1,1,1,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,4,3,2,1,6,8,7]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,4,3,2,1,7,6,8]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,4,3,2,1,7,8,6]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,4,3,2,1,8,7,6]=>[5,3]=>[2,2,2,1,1] [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,4,3,2,6,1,7,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,4,3,2,6,1,8,7]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,4,3,2,6,7,1,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,4,3,2,6,8,7,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,4,3,2,7,6,1,8]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,4,3,2,7,6,8,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,4,3,2,8,6,7,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,4,3,2,8,7,6,1]=>[5,3]=>[2,2,2,1,1] [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[6,4,3,2,5,1,7,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[6,4,3,2,5,1,8,7]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[6,4,3,2,5,8,7,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[8,4,3,2,5,6,7,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[8,4,3,2,5,7,6,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,4,3,2,6,5,1,8]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[7,4,3,2,6,5,8,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[8,4,3,2,6,5,7,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[8,4,3,2,6,7,5,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[8,4,3,2,7,6,5,1]=>[5,3]=>[2,2,2,1,1] [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,4,3,5,2,1,8,7]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[7,4,3,5,2,6,1,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[7,4,3,5,2,6,8,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[8,4,3,5,2,7,6,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[8,4,3,5,6,2,7,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[8,4,3,5,6,7,2,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[8,4,3,5,7,6,2,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,4,3,6,5,2,1,8]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[7,4,3,6,5,2,8,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[8,4,3,7,5,6,2,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[8,4,3,7,6,5,2,1]=>[6,2]=>[2,2,1,1,1,1] [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[6,5,3,4,2,1,7,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,5,3,4,2,1,8,7]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[6,5,3,4,2,7,8,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[7,5,3,4,2,6,1,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[8,5,3,4,2,6,7,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[8,5,3,4,2,7,6,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[7,5,3,4,6,2,8,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[8,5,3,4,6,7,2,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[8,5,3,4,7,6,2,1]=>[5,2,1]=>[3,2,1,1,1] [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[7,6,3,4,5,2,1,8]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[7,6,3,4,5,2,8,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[8,6,3,4,5,2,7,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[8,7,3,4,5,6,2,1]=>[5,1,1,1]=>[4,1,1,1,1] [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[8,7,3,4,6,5,2,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,6,3,5,4,2,1,8]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[7,6,3,5,4,2,8,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[8,6,3,5,4,2,7,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[8,6,3,5,4,7,2,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[8,7,3,5,4,6,2,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[8,7,3,5,6,4,2,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[8,7,3,6,5,4,2,1]=>[7,1]=>[2,1,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,5,4,3,2,1,7,8]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,5,4,3,2,1,8,7]=>[6,2]=>[2,2,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,5,4,3,2,7,1,8]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,5,4,3,2,8,7,1]=>[6,2]=>[2,2,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,5,4,3,2,6,1,8]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[7,5,4,3,2,6,8,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[8,5,4,3,2,6,7,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[8,5,4,3,2,7,6,1]=>[6,2]=>[2,2,1,1,1,1] [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,5,4,3,6,2,1,8]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[7,5,4,3,6,2,8,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[8,5,4,3,6,2,7,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[8,5,4,3,6,7,2,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[8,5,4,3,7,6,2,1]=>[6,2]=>[2,2,1,1,1,1] [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,6,4,3,5,2,1,8]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[7,6,4,3,5,2,8,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[8,6,4,3,5,2,7,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[8,6,4,3,5,7,2,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[8,7,4,3,5,6,2,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[8,7,4,3,6,5,2,1]=>[6,2]=>[2,2,1,1,1,1] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,6,4,5,3,2,1,8]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[7,6,4,5,3,2,8,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[8,6,4,5,3,2,7,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[8,6,4,5,3,7,2,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[8,7,4,5,3,6,2,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[8,7,4,5,6,3,2,1]=>[6,1,1]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[8,7,4,6,5,3,2,1]=>[7,1]=>[2,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,6,5,4,3,2,1,8]=>[7,1]=>[2,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,6,5,4,3,2,8,1]=>[7,1]=>[2,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[8,6,5,4,3,2,7,1]=>[7,1]=>[2,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[8,6,5,4,3,7,2,1]=>[7,1]=>[2,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[8,7,5,4,3,6,2,1]=>[7,1]=>[2,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[8,7,5,4,6,3,2,1]=>[7,1]=>[2,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[8,7,6,4,5,3,2,1]=>[7,1]=>[2,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,7,6,5,4,3,2,1]=>[8]=>[1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,7,6,5,4,3,2,1,9]=>[8,1]=>[2,1,1,1,1,1,1,1] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,9,8,7,6,5,4,3,2]=>[8,1]=>[2,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,8,7,6,5,4,3,2,1,10]=>[9,1]=>[2,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[8,7,6,4,5,3,2,1,9]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,9,8,7,5,6,4,3,2]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,10,9,8,7,6,5,4,3,2]=>[9,1]=>[2,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,1]=>[2,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[9,8,7,5,6,4,3,2,1,10]=>[8,1,1]=>[3,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[8,7,5,4,6,3,2,1,9]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[8,7,4,6,5,3,2,1,9]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,9,8,6,5,7,4,3,2]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,9,8,5,7,6,4,3,2]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,10,9,8,6,7,5,4,3,2]=>[8,1,1]=>[3,1,1,1,1,1,1,1] [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,11,10,9,8,7,6,5,4,3,2]=>[10,1]=>[2,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[11,1]=>[2,1,1,1,1,1,1,1,1,1,1] [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,9,8,5,6,7,4,3,2]=>[6,1,1,1]=>[4,1,1,1,1,1] [1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,10,9,8,5,6,7,4,3,2]=>[7,1,1,1]=>[4,1,1,1,1,1,1] [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,9,8,5,4,6,7,3,2]=>[6,1,1,1]=>[4,1,1,1,1,1] [1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,10,9,6,5,8,7,4,3,2]=>[7,2,1]=>[3,2,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[7,6,5,4,3,2,8,1,9]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,8,7,6,5,4,3,1,9]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,6,5,4,3,2,1,9,8]=>[7,2]=>[2,2,1,1,1,1,1] [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,9,8,4,5,6,7,3,2]=>[5,1,1,1,1]=>[5,1,1,1,1] [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,9,8,7,6,5,4,3]=>[7,2]=>[2,2,1,1,1,1,1] [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,9,8,7,6,5,4,2]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,6,5,4,3,2,1,8,9]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,8,7,6,5,4,3,2,9]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[7,6,4,5,3,2,1,9,8]=>[6,2,1]=>[3,2,1,1,1,1] [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,10,9,5,6,7,8,4,3,2]=>[6,1,1,1,1]=>[5,1,1,1,1,1] [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,9,8,6,7,5,4,3]=>[6,2,1]=>[3,2,1,1,1,1] [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,9,8,7,6,5,4,3]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0]=>[8,7,6,5,4,3,2,9,1,10]=>[8,1,1]=>[3,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,7,6,5,4,3,2,1,10,9]=>[8,2]=>[2,2,1,1,1,1,1,1] [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>[7,6,4,3,5,2,1,9,8]=>[6,2,1]=>[3,2,1,1,1,1] [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[7,6,3,5,4,2,1,9,8]=>[6,2,1]=>[3,2,1,1,1,1] [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,1,9,8,6,5,7,4,3]=>[6,2,1]=>[3,2,1,1,1,1] [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,1,10,9,8,7,6,5,4,3]=>[8,2]=>[2,2,1,1,1,1,1,1] [1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,3,10,9,8,7,6,5,4,2]=>[8,1,1]=>[3,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[8,7,6,5,4,3,2,1,9,10]=>[8,1,1]=>[3,1,1,1,1,1,1,1] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,9,8,7,6,5,4,3,2,10]=>[8,1,1]=>[3,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]=>[8,7,6,4,5,3,2,1,10,9]=>[7,2,1]=>[3,2,1,1,1,1,1] [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,9,5,4,6,7,8,3,2]=>[5,1,1,1,1]=>[5,1,1,1,1] [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,1,10,9,8,6,7,5,4,3]=>[7,2,1]=>[3,2,1,1,1,1,1] [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,10,9,8,7,6,5,4,3]=>[8,1,1]=>[3,1,1,1,1,1,1,1] []=>[]=>[]=>[] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,1]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,9,8,1]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,6,8,7,9,1]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,6,9,7,8,1]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,6,9,8,7,1]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,5,7,6,8,9,1]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,4,5,8,6,7,9,1]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,5,9,6,7,8,1]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,4,5,9,6,8,7,1]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,4,5,8,7,6,9,1]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,4,5,9,7,6,8,1]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,4,5,9,7,8,6,1]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,9,5,6,7,8,1]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,4,9,6,5,7,8,1]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,4,9,6,7,8,5,1]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,9,4,5,6,7,8,1]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,3,9,5,4,6,7,8,1]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,9,5,6,7,8,4,1]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,9,8,7,6,5,4,1]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,8,9,1]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,9,3,4,5,6,7,8,1]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[2,9,4,3,5,6,7,8,1]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[2,9,4,5,6,7,8,3,1]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[2,8,7,6,5,4,3,9,1]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,9,8,7,5,6,4,3,1]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,9,8,7,6,5,4,3,1]=>[8,1]=>[2,1,1,1,1,1,1,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,9,1]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,7,6,9,8,1]=>[3,2,2,2]=>[4,4,1] [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,2,9,4,5,6,7,8,1]=>[3,2,1,1,1,1]=>[6,2,1] [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,2,9,8,7,6,5,4,1]=>[7,2]=>[2,2,1,1,1,1,1] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,8,9,1]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[5,2,3,4,9,6,7,8,1]=>[3,2,1,1,1,1]=>[6,2,1] [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[7,2,3,4,5,6,9,8,1]=>[3,2,1,1,1,1]=>[6,2,1] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[8,2,3,4,5,6,7,9,1]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[9,2,3,4,5,6,7,8,1]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[9,2,4,5,6,8,7,3,1]=>[5,1,1,1,1]=>[5,1,1,1,1] [1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[9,2,7,4,5,6,3,8,1]=>[5,1,1,1,1]=>[5,1,1,1,1] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[9,2,7,6,5,4,3,8,1]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[9,2,8,7,6,5,4,3,1]=>[8,1]=>[2,1,1,1,1,1,1,1] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,9,1]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[9,3,2,4,5,6,7,8,1]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[9,3,2,5,6,7,8,4,1]=>[4,2,1,1,1]=>[5,2,1,1] [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[9,3,4,2,5,6,7,8,1]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[9,3,4,5,2,6,7,8,1]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[9,3,4,5,6,2,8,7,1]=>[4,2,1,1,1]=>[5,2,1,1] [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[9,3,4,5,6,7,8,2,1]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[9,3,4,5,6,8,7,2,1]=>[5,1,1,1,1]=>[5,1,1,1,1] [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[9,3,7,6,5,4,8,2,1]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[9,3,8,7,6,5,4,2,1]=>[8,1]=>[2,1,1,1,1,1,1,1] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,9,1]=>[5,1,1,1,1]=>[5,1,1,1,1] [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]=>[9,4,3,2,5,6,7,8,1]=>[5,1,1,1,1]=>[5,1,1,1,1] [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]=>[9,4,3,5,6,7,2,8,1]=>[5,1,1,1,1]=>[5,1,1,1,1] [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[9,4,3,5,6,7,8,2,1]=>[5,1,1,1,1]=>[5,1,1,1,1] [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[9,8,3,4,5,7,6,2,1]=>[6,1,1,1]=>[4,1,1,1,1,1] [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[9,8,3,5,7,6,4,2,1]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[9,8,3,6,5,4,7,2,1]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[9,8,3,7,6,5,4,2,1]=>[8,1]=>[2,1,1,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,9,1]=>[6,1,1,1]=>[4,1,1,1,1,1] [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[9,8,4,3,5,6,7,2,1]=>[6,1,1,1]=>[4,1,1,1,1,1] [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]=>[9,8,4,3,6,7,5,2,1]=>[6,2,1]=>[3,2,1,1,1,1] [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0]=>[9,8,4,5,3,7,6,2,1]=>[6,2,1]=>[3,2,1,1,1,1] [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[9,8,4,5,7,6,3,2,1]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>[8,7,4,6,5,3,2,9,1]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[9,8,4,6,5,7,3,2,1]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[9,8,4,7,6,5,3,2,1]=>[8,1]=>[2,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[7,6,5,4,3,2,8,9,1]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[7,6,5,4,3,2,9,8,1]=>[7,2]=>[2,2,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[8,6,5,4,3,2,7,9,1]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[8,7,5,4,6,3,2,9,1]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[9,8,5,4,6,3,7,2,1]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[9,8,5,4,6,7,3,2,1]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[8,7,6,4,5,3,2,9,1]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[9,8,7,4,5,6,3,2,1]=>[7,1,1]=>[3,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[9,8,7,4,6,5,3,2,1]=>[8,1]=>[2,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,7,6,5,4,3,2,9,1]=>[8,1]=>[2,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[9,7,6,5,4,3,2,8,1]=>[8,1]=>[2,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[9,7,6,5,4,3,8,2,1]=>[8,1]=>[2,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[9,8,6,5,4,3,7,2,1]=>[8,1]=>[2,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[9,8,6,5,4,7,3,2,1]=>[8,1]=>[2,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[9,8,7,5,4,6,3,2,1]=>[8,1]=>[2,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[9,8,7,5,6,4,3,2,1]=>[8,1]=>[2,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9,8,7,6,5,4,3,2,1]=>[9]=>[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]=>[1,2,3,4,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1]=>[9] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,9,8]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,7]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,6]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,5]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,4]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,3]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,2]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10]=>[1,1,1,1,1,1,1,1,1,1]=>[10] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,10,9]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,9,8,7]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,7,9,10,8]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,5,8,7,9,6]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,10,7]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,4,7,6,8,9,5]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,10,6]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,3,6,5,7,8,9,4]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,10,5]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,2,5,4,6,7,8,9,3]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,10,4]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,8,9,2]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,10,3]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,2]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,1,1,1,1,1,1,1,1,1,1]=>[11] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,9,11,10]=>[2,1,1,1,1,1,1,1,1,1]=>[10,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,7,10,9,8]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,7,8,10,11,9]=>[2,1,1,1,1,1,1,1,1,1]=>[10,1] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,5,9,7,8,6]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,5,9,8,7,6]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,9,10,1]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,11,2]=>[2,1,1,1,1,1,1,1,1,1]=>[10,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>[2,1,1,1,1,1,1,1,1,1]=>[10,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,7,8,11,10,9]=>[3,1,1,1,1,1,1,1,1]=>[9,1,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,5,6,10,8,9,7]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,4,9,6,7,8,5]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,5,6,10,9,8,7]=>[4,1,1,1,1,1,1]=>[7,1,1,1] [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,2,7,4,5,6,8,9,3]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,9,10,1]=>[4,1,1,1,1,1,1]=>[7,1,1,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,9,10,11,1]=>[3,1,1,1,1,1,1,1,1]=>[9,1,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,11,12,2]=>[2,1,1,1,1,1,1,1,1,1,1]=>[11,1] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,4,5,10,7,8,9,6]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,3,9,5,6,7,8,4]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,9,8,7,6,5]=>[5,1,1,1,1]=>[5,1,1,1,1] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,3,4,10,6,7,8,9,5]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,9,4,5,6,7,8,3]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5,10,9,8,7,6]=>[5,1,1,1,1,1]=>[6,1,1,1,1] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,8,3,4,5,6,7,9,2]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[6,2,3,4,5,7,8,9,10,1]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,9,10,1]=>[5,1,1,1,1,1]=>[6,1,1,1,1] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,3,10,5,6,7,8,9,4]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,9,3,4,5,6,7,8,2]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,9,8,7,6,5,4]=>[6,1,1,1]=>[4,1,1,1,1,1] [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,9,4,5,6,7,8,3,2]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,10,4,5,6,7,8,9,3]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,10,9,8,7,6,5]=>[6,1,1,1,1]=>[5,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,9,10,1]=>[6,1,1,1,1]=>[5,1,1,1,1,1] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,10,3,4,5,6,7,8,9,2]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[9,2,3,4,5,6,7,8,10,1]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,10,4,5,6,7,8,9,3,2]=>[4,1,1,1,1,1,1]=>[7,1,1,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,8,7,9]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,5,7,6,8,9]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,5,7,6,9,8]=>[2,2,1,1,1,1,1]=>[7,2] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,8,7,9]=>[2,2,1,1,1,1,1]=>[7,2] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6,9,8]=>[2,2,2,1,1,1]=>[6,3] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8,9]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,8,7,9]=>[2,2,2,1,1,1]=>[6,3] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,7,9,8]=>[2,2,1,1,1,1,1]=>[7,2] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,5,6,9,8,7]=>[3,2,1,1,1,1]=>[6,2,1] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8,9]=>[2,2,1,1,1,1,1]=>[7,2] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6,9,8]=>[2,2,2,2,1]=>[5,4] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8,9]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,7,6,5,4,3,2,9,8]=>[6,2,1]=>[3,2,1,1,1,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,9,8]=>[2,2,1,1,1,1,1]=>[7,2] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,6,8,7,9]=>[2,2,1,1,1,1,1]=>[7,2] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9]=>[2,2,1,1,1,1,1]=>[7,2] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,8,7,9]=>[2,2,2,2,1]=>[5,4] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,1,8,7,6,5,4,3,9]=>[6,2,1]=>[3,2,1,1,1,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6,9,8]=>[3,2,2,2]=>[4,4,1] [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,2,1,9,8,7,6,5,4]=>[6,3]=>[2,2,2,1,1,1] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8,9]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,3,2,1,9,8,7,6,5]=>[5,4]=>[2,2,2,2,1] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8,9]=>[5,1,1,1,1]=>[5,1,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,4,3,2,1,9,8,7,6]=>[5,4]=>[2,2,2,2,1] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[6,5,4,3,2,1,7,8,9]=>[6,1,1,1]=>[4,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[6,5,4,3,2,1,9,8,7]=>[6,3]=>[2,2,2,1,1,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,7,9,8,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,5,6,8,7,9,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,5,7,6,8,9,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,9,8,10]=>[2,2,2,1,1,1,1]=>[7,3] [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,10,9,8,7,6,5,4]=>[7,1,1,1]=>[4,1,1,1,1,1,1] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8,9,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,9,8,10]=>[2,2,2,2,1,1]=>[6,4] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,8,10,9]=>[2,2,1,1,1,1,1,1]=>[8,2] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9]=>[2,2,2,2,2]=>[5,5] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,6,5,10,9,8,7]=>[4,2,2,2]=>[4,4,1,1] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3,10,9,8,7]=>[4,4,2]=>[3,3,2,2] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[2,1,8,7,6,5,4,3,10,9]=>[6,2,2]=>[3,3,1,1,1,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9,10]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,7,6,9,8,10]=>[3,2,2,2,1]=>[5,4,1] [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,2,1,10,9,8,7,6,5,4]=>[7,3]=>[2,2,2,1,1,1,1] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8,9,10]=>[4,1,1,1,1,1,1]=>[7,1,1,1] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7,10,9]=>[4,2,2,2]=>[4,4,1,1] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,6,5,10,9,8,7]=>[4,4,2]=>[3,3,2,2] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,8,7,6,5,10,9]=>[4,4,2]=>[3,3,2,2] [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,3,2,1,10,9,8,7,6,5]=>[6,4]=>[2,2,2,2,1,1] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8,9,10]=>[5,1,1,1,1,1]=>[6,1,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1,10,9,8,7,6]=>[5,5]=>[2,2,2,2,2] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,2,1,7,8,9,10]=>[6,1,1,1,1]=>[5,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,5,4,3,2,1,10,9,8,7]=>[6,4]=>[2,2,2,2,1,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[7,6,5,4,3,2,1,8,9,10]=>[7,1,1,1]=>[4,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,6,5,4,3,2,1,10,9,8]=>[7,3]=>[2,2,2,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10,9,8,7,6,5,4,3,2,1]=>[10]=>[1,1,1,1,1,1,1,1,1,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8,9]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8,9]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,6,1,7,8,9]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,1,9]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8,9]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8,9,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8,9,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,1,7,8,9,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,6,8,7,1,9]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,8,1,9,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,1,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[10,9,3,4,5,6,8,7,2,1]=>[6,1,1,1,1]=>[5,1,1,1,1,1] [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[10,9,4,3,5,6,7,8,2,1]=>[6,1,1,1,1]=>[5,1,1,1,1,1] [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[11,10,3,4,5,6,7,9,8,2,1]=>[6,1,1,1,1,1]=>[6,1,1,1,1,1] [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[10,3,4,5,6,7,9,8,2,1]=>[5,1,1,1,1,1]=>[6,1,1,1,1] [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[10,4,3,5,6,7,8,9,2,1]=>[5,1,1,1,1,1]=>[6,1,1,1,1] [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[11,10,4,3,5,6,7,8,9,2,1]=>[6,1,1,1,1,1]=>[6,1,1,1,1,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,1,1,1,1,1,1,1,1]=>[10,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,6,8,9,7]=>[2,2,1,1,1,1,1]=>[7,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,8,10,9,1]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[10,9,8,5,7,6,4,3,2,1]=>[9,1]=>[2,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[10,9,8,6,5,7,4,3,2,1]=>[9,1]=>[2,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]=>[11,10,9,8,5,7,6,4,3,2,1]=>[10,1]=>[2,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>[10,9,8,4,5,7,6,3,2,1]=>[8,1,1]=>[3,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[10,9,8,5,4,6,7,3,2,1]=>[8,1,1]=>[3,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[11,10,9,8,6,5,7,4,3,2,1]=>[10,1]=>[2,1,1,1,1,1,1,1,1,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,6,7,9,10,8]=>[2,2,1,1,1,1,1,1]=>[8,2] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,6,8,9,7]=>[2,2,1,1,1,1,1]=>[7,2] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,5,6,8,9,7]=>[2,2,1,1,1,1,1]=>[7,2] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,6,7,9,8]=>[2,2,1,1,1,1,1]=>[7,2] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,2,3,4,5,6,7,1,9]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[7,2,3,4,5,6,1,8,9]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,10,9,8,7,6,5,4,3,1]=>[9,1]=>[2,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,8,7,6,5,4,3,2,10,1]=>[9,1]=>[2,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[10,9,8,7,6,5,4,3,2,11,1]=>[10,1]=>[2,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>[9,8,7,5,6,4,3,2,10,1]=>[8,1,1]=>[3,1,1,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>[6,5,4,3,2,7,1,8,9]=>[6,1,1,1]=>[4,1,1,1,1,1] [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]=>[5,4,3,2,6,1,7,8,9]=>[5,1,1,1,1]=>[5,1,1,1,1] [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[4,3,2,5,1,6,7,8,9]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8,9]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[10,9,8,7,5,6,4,3,2,1]=>[9,1]=>[2,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[10,9,8,4,7,6,5,3,2,1]=>[9,1]=>[2,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[10,9,4,8,7,6,5,3,2,1]=>[9,1]=>[2,1,1,1,1,1,1,1,1] [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[10,9,3,8,7,6,5,4,2,1]=>[9,1]=>[2,1,1,1,1,1,1,1,1] [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[10,3,9,8,7,6,5,4,2,1]=>[9,1]=>[2,1,1,1,1,1,1,1,1] [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[10,2,9,8,7,6,5,4,3,1]=>[9,1]=>[2,1,1,1,1,1,1,1,1] [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,2,3,4,5,6,1,9,8]=>[3,2,1,1,1,1]=>[6,2,1] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,1,9,4,5,6,7,8,3]=>[3,2,1,1,1,1]=>[6,2,1] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,8,3,4,5,6,7,1,9]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,10,3,4,5,6,7,8,9,1]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[11,10,9,8,6,7,5,4,3,2,1]=>[10,1]=>[2,1,1,1,1,1,1,1,1,1] [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,1,9,8,7,6,5,4]=>[6,2,1]=>[3,2,1,1,1,1] [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,2,3,1,9,8,7,6,5]=>[5,3,1]=>[3,2,2,1,1] [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,3,4,2,1,9,8,7,6]=>[4,4,1]=>[3,2,2,2] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,5,3,4,2,1,9,8,7]=>[5,3,1]=>[3,2,2,1,1] [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,5,2,6,7,8,9]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,5,3,6,7,8,9]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,3,4,5,7,8,6,9,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,3,4,5,7,8,9,6,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,4,5,1,6,7,9,8]=>[2,2,1,1,1,1,1]=>[7,2] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,5,3,6,7,8,9]=>[2,2,1,1,1,1,1]=>[7,2] [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,6,3,4,5,7,8,9,10,1]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,6,4,5,7,8,9,10,1]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,9,10,1]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,10,9,4,5,6,7,8,3,2]=>[5,1,1,1,1,1]=>[6,1,1,1,1] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,9,4,3,5,6,7,8,2]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,7,8,1,9]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,7,9,8,2]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,1,9,8]=>[2,2,1,1,1,1,1]=>[7,2] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,9,3]=>[2,2,1,1,1,1,1]=>[7,2] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,6,1,9,8,7]=>[3,2,1,1,1,1]=>[6,2,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,6,7,10,9,8,1]=>[4,1,1,1,1,1,1]=>[7,1,1,1] [1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1,9,8,7,6]=>[4,2,1,1,1]=>[5,2,1,1] [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,4,5,6,10,8,9,7,1]=>[4,1,1,1,1,1,1]=>[7,1,1,1] [1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,4,1,9,7,8,6,5]=>[4,2,1,1,1]=>[5,2,1,1] [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,4,5,10,7,8,9,6,1]=>[4,1,1,1,1,1,1]=>[7,1,1,1] [1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,1,9,6,7,8,5,4]=>[4,2,1,1,1]=>[5,2,1,1] [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,4,10,6,7,8,9,5,1]=>[4,1,1,1,1,1,1]=>[7,1,1,1] [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,1,9,5,6,7,8,4,3]=>[4,2,1,1,1]=>[5,2,1,1] [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,10,5,6,7,8,9,4,1]=>[4,1,1,1,1,1,1]=>[7,1,1,1] [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[2,10,4,5,6,7,8,9,3,1]=>[4,1,1,1,1,1,1]=>[7,1,1,1] [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[10,3,4,5,6,7,8,9,2,1]=>[4,1,1,1,1,1,1]=>[7,1,1,1] [1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,4,9,8,7,6,5,3]=>[6,2,1]=>[3,2,1,1,1,1] [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[7,2,6,5,4,3,1,9,8]=>[6,2,1]=>[3,2,1,1,1,1] [1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,1,9,5,8,7,6,4]=>[5,3,1]=>[3,2,2,1,1] [1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,3,5,4,2,1,9,8,7]=>[5,3,1]=>[3,2,2,1,1] [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,2,1,9,7,8,6,5]=>[4,4,1]=>[3,2,2,2] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>[6,5,4,3,2,1,8,9,7]=>[6,2,1]=>[3,2,1,1,1,1] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[10,8,7,6,5,4,3,2,9,1]=>[9,1]=>[2,1,1,1,1,1,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,3,2,1,9,7,8,6]=>[5,3,1]=>[3,2,2,1,1] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[10,8,7,6,5,4,3,9,2,1]=>[9,1]=>[2,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[10,9,7,6,5,4,3,8,2,1]=>[9,1]=>[2,1,1,1,1,1,1,1,1] [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,1,9,8,6,7,5,4]=>[5,3,1]=>[3,2,2,1,1] [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[10,9,7,6,5,4,8,3,2,1]=>[9,1]=>[2,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[10,9,8,6,5,4,7,3,2,1]=>[9,1]=>[2,1,1,1,1,1,1,1,1] [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,3,5,7,8,9,6]=>[2,2,1,1,1,1,1]=>[7,2] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,5,10,6,7,8,9,1]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,6,1,8,7,9]=>[2,2,1,1,1,1,1]=>[7,2] [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,4,5,1,7,6,8,9]=>[2,2,1,1,1,1,1]=>[7,2] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,3,6,5,8,7,1,9]=>[3,2,2,1,1]=>[5,3,1] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6,9,8]=>[2,2,2,2,1]=>[5,4] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,7,10,9]=>[3,2,2,2,1]=>[5,4,1] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,8,7,10,9,1]=>[3,2,2,2,1]=>[5,4,1] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,9,8,10]=>[2,2,2,2,1,1]=>[6,4] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,6,7,10,8,9,1]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,5,6,10,7,8,9,1]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,10,5,6,7,8,9,1]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,10,4,5,6,7,8,9,1]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[10,2,3,4,5,6,7,8,9,1]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,8,9,11,10,1]=>[3,1,1,1,1,1,1,1,1]=>[9,1,1] [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[10,3,2,4,5,6,7,8,9,1]=>[4,1,1,1,1,1,1]=>[7,1,1,1] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[11,2,3,4,5,6,7,8,9,10,1]=>[3,1,1,1,1,1,1,1,1]=>[9,1,1] [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[10,9,8,5,4,7,6,3,2,1]=>[8,2]=>[2,2,1,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[10,5,4,3,2,9,8,7,6,1]=>[6,4]=>[2,2,2,2,1,1] [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[11,10,9,8,7,6,5,4,3,2,1]=>[11]=>[1,1,1,1,1,1,1,1,1,1,1] [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,1,11,10,9,8,7,6,5,4,3]=>[9,2]=>[2,2,1,1,1,1,1,1,1] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[9,2,3,4,5,6,7,8,1,10]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9,10,11]=>[2,1,1,1,1,1,1,1,1,1]=>[10,1] [1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,4,9,8,7,6,5,3]=>[6,1,1,1]=>[4,1,1,1,1,1] [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,3,5,9,8,7,6,4]=>[5,1,1,1,1]=>[5,1,1,1,1] [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,4,6,9,8,7,5]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,5,7,9,8,6]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,8,9,4]=>[3,2,1,1,1,1]=>[6,2,1] [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[4,3,2,1,6,7,8,9,5]=>[4,2,1,1,1]=>[5,2,1,1] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[9,8,7,6,5,4,3,2,1,11,10]=>[9,2]=>[2,2,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0]=>[10,7,6,5,4,3,2,9,8,1]=>[8,2]=>[2,2,1,1,1,1,1,1] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8,9]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,9,10,3]=>[2,2,1,1,1,1,1,1]=>[8,2] [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,8,9,4]=>[2,2,1,1,1,1,1]=>[7,2] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,7,8,10,9,11]=>[2,1,1,1,1,1,1,1,1,1]=>[10,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,5,6,1,8,9,10,7]=>[2,2,1,1,1,1,1,1]=>[8,2] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,5,7,8,6,9]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,3,5,6,7,9,8,4]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,5,6,8,9,7,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,10,1,11]=>[2,1,1,1,1,1,1,1,1,1]=>[10,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,8,2,9]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,7,6,5,4,3,2,10,9,1]=>[8,2]=>[2,2,1,1,1,1,1,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,4,5,7,6,8,1,9]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[11,3,4,5,6,7,8,9,10,2,1]=>[4,1,1,1,1,1,1,1]=>[8,1,1,1] [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,8,9,4]=>[2,2,1,1,1,1,1]=>[7,2] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,3,9,4,5,6,7,8,2]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,8,1,10,9]=>[2,2,1,1,1,1,1,1]=>[8,2] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,6,1,8,9,7]=>[2,2,1,1,1,1,1]=>[7,2] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6,9,8,11,10]=>[2,2,2,2,2,1]=>[6,5] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0]=>[9,8,7,6,5,4,3,2,1,10,11]=>[9,1,1]=>[3,1,1,1,1,1,1,1,1] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[10,2,3,4,5,6,7,8,9,11,1]=>[3,1,1,1,1,1,1,1,1]=>[9,1,1] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8,9,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,8,9,2,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,5,6,3,7,8,9,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,9,5]=>[2,2,1,1,1,1,1]=>[7,2] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,5,6,8,10,9,7]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,3,5,6,7,8,4,9,10]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,3,4,6,7,10,9,8,5]=>[4,1,1,1,1,1,1]=>[7,1,1,1] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,4,1,6,5,8,7,9]=>[3,2,2,1,1]=>[5,3,1] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,2,5,4,6,1,8,7,9]=>[3,2,2,1,1]=>[5,3,1] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7,10,9]=>[3,2,2,2,1]=>[5,4,1] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,8,7,10,9]=>[3,2,2,2,1]=>[5,4,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,7,6,8,1,10,9]=>[3,2,2,2,1]=>[5,4,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,9,8,10,1]=>[3,2,2,2,1]=>[5,4,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,7,6,9,8,1,10]=>[3,2,2,2,1]=>[5,4,1] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,3,4,8,5,6,7,1,9]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,2,9,5,4,6,7,8,3]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0]=>[5,4,3,2,1,7,8,9,6]=>[5,2,1,1]=>[4,2,1,1,1] [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,5,6,8,7,9,2]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,2,8,7,6,5,4,1,9]=>[6,2,1]=>[3,2,1,1,1,1] [1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[10,3,2,9,8,7,6,5,4,1]=>[8,2]=>[2,2,1,1,1,1,1,1] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,3,2,1,10,7,6,9,8,5]=>[4,4,2]=>[3,3,2,2] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,7,8,10,9,2]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,7,8,3,9]=>[2,2,1,1,1,1,1]=>[7,2] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]=>[8,7,6,5,4,3,2,9,10,1]=>[8,1,1]=>[3,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,8,9,10,1]=>[7,1,1,1]=>[4,1,1,1,1,1,1] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,3,6,5,8,7,9,2]=>[3,2,2,1,1]=>[5,3,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,6,5,9,8,10,7]=>[3,2,2,2,1]=>[5,4,1] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,9,8,10,5]=>[3,2,2,2,1]=>[5,4,1] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,9,8,10,3]=>[3,2,2,2,1]=>[5,4,1] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,10,8]=>[2,2,2,2,1,1]=>[6,4] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,3,4,9,7,6,8,5]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,3,9,6,5,7,8,4]=>[4,1,1,1,1,1]=>[6,1,1,1] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8,9,10]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,9,5]=>[2,2,2,1,1,1]=>[6,3] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8,9,10]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,6,7,2,8,9]=>[2,1,1,1,1,1,1,1]=>[8,1] [1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[2,4,3,6,5,7,10,8,9,1]=>[3,2,2,1,1,1]=>[6,3,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,6,7,9,8,1,10]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,3,4,6,7,9,8,5]=>[3,1,1,1,1,1,1]=>[7,1,1] [1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,2,5,4,7,6,9,8,3]=>[3,2,2,1,1]=>[5,3,1] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,8,7,10,9,2]=>[3,2,2,2,1]=>[5,4,1] [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,3,4,5,7,8,9,10,6]=>[2,2,1,1,1,1,1,1]=>[8,2] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[8,2,3,4,5,6,7,10,9,1]=>[3,2,1,1,1,1,1]=>[7,2,1] [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,2,10,4,5,6,7,8,9,1]=>[3,2,1,1,1,1,1]=>[7,2,1] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7,10,9]=>[3,2,2,2,1]=>[5,4,1] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,4,3,7,6,8,5,10,9]=>[3,2,2,2,1]=>[5,4,1] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,7,6,8,5,10,9]=>[3,3,2,1,1]=>[5,3,2] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,7,6,8,3,10,9]=>[3,2,2,2,1]=>[5,4,1] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,6,5,9,8,10,7]=>[3,3,2,1,1]=>[5,3,2] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3,9,8,10,7]=>[3,3,2,1,1]=>[5,3,2] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,5,4,6,1,9,8,10,7]=>[3,3,2,1,1]=>[5,3,2] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,9,8,10,5]=>[3,3,2,1,1]=>[5,3,2] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,2,2,2,2,2]=>[6,6] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7,10,9,12,11]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7,10,9,12,11]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,8,7,10,9,12,11]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,7,6,8,5,10,9,12,11]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,7,6,8,5,10,9,12,11]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,5,4,7,6,8,3,10,9,12,11]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,5,4,7,6,8,1,10,9,12,11]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,9,8,10,7,12,11]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,9,8,10,7,12,11]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,9,8,10,7,12,11]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,9,8,10,7,12,11]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,4,3,7,6,9,8,10,5,12,11]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,7,6,9,8,10,5,12,11]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,7,6,9,8,10,3,12,11]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,7,6,9,8,10,1,12,11]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,6,5,8,7,11,10,12,9]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,6,5,8,7,11,10,12,9]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3,8,7,11,10,12,9]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,5,4,6,1,8,7,11,10,12,9]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,8,5,11,10,12,9]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,8,5,11,10,12,9]=>[3,3,3,1,1,1]=>[6,3,3] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,8,3,11,10,12,9]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,8,1,11,10,12,9]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,4,3,6,5,9,8,11,10,12,7]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,4,1,6,5,9,8,11,10,12,7]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,6,3,9,8,11,10,12,7]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,6,1,9,8,11,10,12,7]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,9,8,11,10,12,5]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,9,8,11,10,12,5]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,9,8,11,10,12,3]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,9,8,11,10,12,1]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,6,7,1,9,8,10]=>[2,2,1,1,1,1,1,1]=>[8,2] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[10,3,2,5,4,7,6,9,8,1]=>[4,2,2,2]=>[4,4,1,1] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,2]=>[2,2,1,1,1,1,1,1,1,1] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,4,2,6,5,8,7,10,9]=>[2,2,2,2,1,1]=>[6,4] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,8,9,1,11,10]=>[2,2,1,1,1,1,1,1,1]=>[9,2] [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,5,1,7,8,9,6]=>[2,2,1,1,1,1,1]=>[7,2] [1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,4,6,10,7,8,9,1]=>[3,2,1,1,1,1,1]=>[7,2,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,6,7,8,10,9,1]=>[3,2,1,1,1,1,1]=>[7,2,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0]=>[7,6,5,4,3,2,1,9,10,8]=>[7,2,1]=>[3,2,1,1,1,1,1] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,7,10,9]=>[3,2,2,2,1]=>[5,4,1] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,3,6,8,7,5,10,9]=>[3,2,2,2,1]=>[5,4,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,5,8,10,9,7]=>[3,2,2,2,1]=>[5,4,1] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3,8,10,9,7]=>[3,3,2,1,1]=>[5,3,2] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,1,6,5,8,10,9,7]=>[3,3,2,1,1]=>[5,3,2] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,8,7,5,10,9]=>[3,3,2,1,1]=>[5,3,2] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,5,8,7,10,12,11,9]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,10,9,7,12,11]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,8,7,5,10,9,12,11]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,7,5,10,12,11,9]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,7,10,9,12,11]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3,8,7,10,12,11,9]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,10,9,7,12,11]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,7,10,9,12,11]=>[3,2,2,2,2,1]=>[6,5,1] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,1,6,5,8,7,10,12,11,9]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,10,9,7,12,11]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,8,7,5,10,9,12,11]=>[3,3,2,2,1,1]=>[6,4,2] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,1,6,8,7,5,10,12,11,9]=>[3,3,3,1,1,1]=>[6,3,3] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,8,7,10,9,12,11,1]=>[3,2,2,2,2,1]=>[6,5,1] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,8,7,9]=>[2,2,2,1,1,1]=>[6,3] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,6,7,1,9,10,8]=>[2,2,1,1,1,1,1,1]=>[8,2] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,5,8,9,10,7]=>[2,2,2,1,1,1,1]=>[7,3] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,3,4,6,7,8,10,9,5]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,3,4,5,7,8,10,9,6]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,9,10,5]=>[2,2,2,1,1,1,1]=>[7,3] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,5,8,9,10,7]=>[2,2,2,2,1,1]=>[6,4] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,8,7,9]=>[2,2,2,1,1,1]=>[6,3] [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,1,7,6,9,8,10]=>[2,2,2,1,1,1,1]=>[7,3] [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6,9,8]=>[2,2,2,1,1,1]=>[6,3] [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6,9,8]=>[2,2,2,1,1,1]=>[6,3] [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,4,5,2,7,6,9,8,10]=>[2,2,2,1,1,1,1]=>[7,3] [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,8,7,9]=>[2,2,2,1,1,1]=>[6,3] [1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]=>[10,9,6,5,4,3,8,7,2,1]=>[8,2]=>[2,2,1,1,1,1,1,1] [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[6,3,2,5,4,1,8,7,10,9]=>[4,2,2,2]=>[4,4,1,1] [1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,4,10,9,8,7,6,5,3]=>[7,1,1,1]=>[4,1,1,1,1,1,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,5,6,1,8,7,10,9]=>[2,2,2,1,1,1,1]=>[7,3] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,8,7,10,9]=>[2,2,2,2,1,1]=>[6,4] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,8,11,12,10]=>[2,2,2,2,2,1,1]=>[7,5]
Map
to non-crossing permutation
Description
Sends a Dyck path $D$ with valley at positions $\{(i_1,j_1),\ldots,(i_k,j_k)\}$ to the unique non-crossing permutation $\pi$ having descents $\{i_1,\ldots,i_k\}$ and whose inverse has descents $\{j_1,\ldots,j_k\}$.
It sends the area St000012The area of a Dyck path. to the number of inversions St000018The number of inversions of a permutation. and the major index St000027The major index of a Dyck path. to $n(n-1)$ minus the sum of the major index St000004The major index of a permutation. and the inverse major index St000305The inverse major index of a permutation..
Map
LLPS
Description
The Lewis-Lyu-Pylyavskyy-Sen shape of a permutation.
An ascent in a sequence $u = (u_1, u_2, \ldots)$ is an index $i$ such that $u_i < u_{i+1}$. Let $\mathrm{asc}(u)$ denote the number of ascents of $u$, and let
$$\mathrm{asc}^{*}(u) := \begin{cases} 0 &\textrm{if u is empty}, \\ 1 + \mathrm{asc}(u) &\textrm{otherwise}.\end{cases}$$
Given a permutation $w$ in the symmetric group $\mathfrak{S}_n$, define
$A'_k := \max_{u_1, \ldots, u_k} (\mathrm{asc}^{*}(u_1) + \cdots + \mathrm{asc}^{*}(u_k))$
where the maximum is taken over disjoint subsequences ${u_i}$ of $w$.
Then $A'_1, A'_2-A'_1, A'_3-A'_2,\dots$ is a partition of $n$. Its conjugate is the Lewis-Lyu-Pylyavskyy-Sen shape of a permutation.
Map
conjugate
Description
Return the conjugate partition of the partition.
The conjugate partition of the partition $\lambda$ of $n$ is the partition $\lambda^*$ whose Ferrers diagram is obtained from the diagram of $\lambda$ by interchanging rows with columns.
This is also called the associated partition or the transpose in the literature.