Identifier
Values
=>
Cc0005;cc-rep
[1]=>[1,0]=>0 [1,2]=>[1,0,1,0]=>1 [2,1]=>[1,1,0,0]=>0 [1,2,3]=>[1,0,1,0,1,0]=>3 [1,3,2]=>[1,0,1,1,0,0]=>1 [2,1,3]=>[1,1,0,0,1,0]=>2 [2,3,1]=>[1,1,0,1,0,0]=>1 [3,1,2]=>[1,1,1,0,0,0]=>0 [3,2,1]=>[1,1,1,0,0,0]=>0 [1,2,3,4]=>[1,0,1,0,1,0,1,0]=>6 [1,2,4,3]=>[1,0,1,0,1,1,0,0]=>3 [1,3,2,4]=>[1,0,1,1,0,0,1,0]=>4 [1,3,4,2]=>[1,0,1,1,0,1,0,0]=>3 [1,4,2,3]=>[1,0,1,1,1,0,0,0]=>1 [1,4,3,2]=>[1,0,1,1,1,0,0,0]=>1 [2,1,3,4]=>[1,1,0,0,1,0,1,0]=>5 [2,1,4,3]=>[1,1,0,0,1,1,0,0]=>2 [2,3,1,4]=>[1,1,0,1,0,0,1,0]=>4 [2,3,4,1]=>[1,1,0,1,0,1,0,0]=>2 [2,4,1,3]=>[1,1,0,1,1,0,0,0]=>1 [2,4,3,1]=>[1,1,0,1,1,0,0,0]=>1 [3,1,2,4]=>[1,1,1,0,0,0,1,0]=>3 [3,1,4,2]=>[1,1,1,0,0,1,0,0]=>2 [3,2,1,4]=>[1,1,1,0,0,0,1,0]=>3 [3,2,4,1]=>[1,1,1,0,0,1,0,0]=>2 [3,4,1,2]=>[1,1,1,0,1,0,0,0]=>1 [3,4,2,1]=>[1,1,1,0,1,0,0,0]=>1 [4,1,2,3]=>[1,1,1,1,0,0,0,0]=>0 [4,1,3,2]=>[1,1,1,1,0,0,0,0]=>0 [4,2,1,3]=>[1,1,1,1,0,0,0,0]=>0 [4,2,3,1]=>[1,1,1,1,0,0,0,0]=>0 [4,3,1,2]=>[1,1,1,1,0,0,0,0]=>0 [4,3,2,1]=>[1,1,1,1,0,0,0,0]=>0 [1,2,3,4,5]=>[1,0,1,0,1,0,1,0,1,0]=>10 [1,2,3,5,4]=>[1,0,1,0,1,0,1,1,0,0]=>6 [1,2,4,3,5]=>[1,0,1,0,1,1,0,0,1,0]=>7 [1,2,4,5,3]=>[1,0,1,0,1,1,0,1,0,0]=>6 [1,2,5,3,4]=>[1,0,1,0,1,1,1,0,0,0]=>3 [1,2,5,4,3]=>[1,0,1,0,1,1,1,0,0,0]=>3 [1,3,2,4,5]=>[1,0,1,1,0,0,1,0,1,0]=>8 [1,3,2,5,4]=>[1,0,1,1,0,0,1,1,0,0]=>4 [1,3,4,2,5]=>[1,0,1,1,0,1,0,0,1,0]=>7 [1,3,4,5,2]=>[1,0,1,1,0,1,0,1,0,0]=>4 [1,3,5,2,4]=>[1,0,1,1,0,1,1,0,0,0]=>3 [1,3,5,4,2]=>[1,0,1,1,0,1,1,0,0,0]=>3 [1,4,2,3,5]=>[1,0,1,1,1,0,0,0,1,0]=>5 [1,4,2,5,3]=>[1,0,1,1,1,0,0,1,0,0]=>4 [1,4,3,2,5]=>[1,0,1,1,1,0,0,0,1,0]=>5 [1,4,3,5,2]=>[1,0,1,1,1,0,0,1,0,0]=>4 [1,4,5,2,3]=>[1,0,1,1,1,0,1,0,0,0]=>3 [1,4,5,3,2]=>[1,0,1,1,1,0,1,0,0,0]=>3 [1,5,2,3,4]=>[1,0,1,1,1,1,0,0,0,0]=>1 [1,5,2,4,3]=>[1,0,1,1,1,1,0,0,0,0]=>1 [1,5,3,2,4]=>[1,0,1,1,1,1,0,0,0,0]=>1 [1,5,3,4,2]=>[1,0,1,1,1,1,0,0,0,0]=>1 [1,5,4,2,3]=>[1,0,1,1,1,1,0,0,0,0]=>1 [1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0]=>1 [2,1,3,4,5]=>[1,1,0,0,1,0,1,0,1,0]=>9 [2,1,3,5,4]=>[1,1,0,0,1,0,1,1,0,0]=>5 [2,1,4,3,5]=>[1,1,0,0,1,1,0,0,1,0]=>6 [2,1,4,5,3]=>[1,1,0,0,1,1,0,1,0,0]=>5 [2,1,5,3,4]=>[1,1,0,0,1,1,1,0,0,0]=>2 [2,1,5,4,3]=>[1,1,0,0,1,1,1,0,0,0]=>2 [2,3,1,4,5]=>[1,1,0,1,0,0,1,0,1,0]=>8 [2,3,1,5,4]=>[1,1,0,1,0,0,1,1,0,0]=>4 [2,3,4,1,5]=>[1,1,0,1,0,1,0,0,1,0]=>6 [2,3,4,5,1]=>[1,1,0,1,0,1,0,1,0,0]=>4 [2,3,5,1,4]=>[1,1,0,1,0,1,1,0,0,0]=>2 [2,3,5,4,1]=>[1,1,0,1,0,1,1,0,0,0]=>2 [2,4,1,3,5]=>[1,1,0,1,1,0,0,0,1,0]=>5 [2,4,1,5,3]=>[1,1,0,1,1,0,0,1,0,0]=>4 [2,4,3,1,5]=>[1,1,0,1,1,0,0,0,1,0]=>5 [2,4,3,5,1]=>[1,1,0,1,1,0,0,1,0,0]=>4 [2,4,5,1,3]=>[1,1,0,1,1,0,1,0,0,0]=>2 [2,4,5,3,1]=>[1,1,0,1,1,0,1,0,0,0]=>2 [2,5,1,3,4]=>[1,1,0,1,1,1,0,0,0,0]=>1 [2,5,1,4,3]=>[1,1,0,1,1,1,0,0,0,0]=>1 [2,5,3,1,4]=>[1,1,0,1,1,1,0,0,0,0]=>1 [2,5,3,4,1]=>[1,1,0,1,1,1,0,0,0,0]=>1 [2,5,4,1,3]=>[1,1,0,1,1,1,0,0,0,0]=>1 [2,5,4,3,1]=>[1,1,0,1,1,1,0,0,0,0]=>1 [3,1,2,4,5]=>[1,1,1,0,0,0,1,0,1,0]=>7 [3,1,2,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>3 [3,1,4,2,5]=>[1,1,1,0,0,1,0,0,1,0]=>6 [3,1,4,5,2]=>[1,1,1,0,0,1,0,1,0,0]=>3 [3,1,5,2,4]=>[1,1,1,0,0,1,1,0,0,0]=>2 [3,1,5,4,2]=>[1,1,1,0,0,1,1,0,0,0]=>2 [3,2,1,4,5]=>[1,1,1,0,0,0,1,0,1,0]=>7 [3,2,1,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>3 [3,2,4,1,5]=>[1,1,1,0,0,1,0,0,1,0]=>6 [3,2,4,5,1]=>[1,1,1,0,0,1,0,1,0,0]=>3 [3,2,5,1,4]=>[1,1,1,0,0,1,1,0,0,0]=>2 [3,2,5,4,1]=>[1,1,1,0,0,1,1,0,0,0]=>2 [3,4,1,2,5]=>[1,1,1,0,1,0,0,0,1,0]=>5 [3,4,1,5,2]=>[1,1,1,0,1,0,0,1,0,0]=>3 [3,4,2,1,5]=>[1,1,1,0,1,0,0,0,1,0]=>5 [3,4,2,5,1]=>[1,1,1,0,1,0,0,1,0,0]=>3 [3,4,5,1,2]=>[1,1,1,0,1,0,1,0,0,0]=>2 [3,4,5,2,1]=>[1,1,1,0,1,0,1,0,0,0]=>2 [3,5,1,2,4]=>[1,1,1,0,1,1,0,0,0,0]=>1 [3,5,1,4,2]=>[1,1,1,0,1,1,0,0,0,0]=>1 [3,5,2,1,4]=>[1,1,1,0,1,1,0,0,0,0]=>1 [3,5,2,4,1]=>[1,1,1,0,1,1,0,0,0,0]=>1 [3,5,4,1,2]=>[1,1,1,0,1,1,0,0,0,0]=>1 [3,5,4,2,1]=>[1,1,1,0,1,1,0,0,0,0]=>1 [4,1,2,3,5]=>[1,1,1,1,0,0,0,0,1,0]=>4 [4,1,2,5,3]=>[1,1,1,1,0,0,0,1,0,0]=>3 [4,1,3,2,5]=>[1,1,1,1,0,0,0,0,1,0]=>4 [4,1,3,5,2]=>[1,1,1,1,0,0,0,1,0,0]=>3 [4,1,5,2,3]=>[1,1,1,1,0,0,1,0,0,0]=>2 [4,1,5,3,2]=>[1,1,1,1,0,0,1,0,0,0]=>2 [4,2,1,3,5]=>[1,1,1,1,0,0,0,0,1,0]=>4 [4,2,1,5,3]=>[1,1,1,1,0,0,0,1,0,0]=>3 [4,2,3,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>4 [4,2,3,5,1]=>[1,1,1,1,0,0,0,1,0,0]=>3 [4,2,5,1,3]=>[1,1,1,1,0,0,1,0,0,0]=>2 [4,2,5,3,1]=>[1,1,1,1,0,0,1,0,0,0]=>2 [4,3,1,2,5]=>[1,1,1,1,0,0,0,0,1,0]=>4 [4,3,1,5,2]=>[1,1,1,1,0,0,0,1,0,0]=>3 [4,3,2,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>4 [4,3,2,5,1]=>[1,1,1,1,0,0,0,1,0,0]=>3 [4,3,5,1,2]=>[1,1,1,1,0,0,1,0,0,0]=>2 [4,3,5,2,1]=>[1,1,1,1,0,0,1,0,0,0]=>2 [4,5,1,2,3]=>[1,1,1,1,0,1,0,0,0,0]=>1 [4,5,1,3,2]=>[1,1,1,1,0,1,0,0,0,0]=>1 [4,5,2,1,3]=>[1,1,1,1,0,1,0,0,0,0]=>1 [4,5,2,3,1]=>[1,1,1,1,0,1,0,0,0,0]=>1 [4,5,3,1,2]=>[1,1,1,1,0,1,0,0,0,0]=>1 [4,5,3,2,1]=>[1,1,1,1,0,1,0,0,0,0]=>1 [5,1,2,3,4]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,1,2,4,3]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,1,3,2,4]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,1,3,4,2]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,1,4,2,3]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,1,4,3,2]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,2,1,3,4]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,2,1,4,3]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,2,3,1,4]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,2,3,4,1]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,2,4,1,3]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,2,4,3,1]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,3,1,2,4]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,3,1,4,2]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,3,2,1,4]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,3,2,4,1]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,3,4,1,2]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,3,4,2,1]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,4,1,2,3]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,4,1,3,2]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,4,2,1,3]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,4,2,3,1]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,4,3,1,2]=>[1,1,1,1,1,0,0,0,0,0]=>0 [5,4,3,2,1]=>[1,1,1,1,1,0,0,0,0,0]=>0 [1,2,3,4,5,6]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>15 [1,2,3,4,6,5]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>10 [1,2,3,5,4,6]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>11 [1,2,3,5,6,4]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>10 [1,2,3,6,4,5]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>6 [1,2,3,6,5,4]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>6 [1,2,4,3,5,6]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>12 [1,2,4,3,6,5]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>7 [1,2,4,5,3,6]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>11 [1,2,4,5,6,3]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>7 [1,2,4,6,3,5]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>6 [1,2,4,6,5,3]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>6 [1,2,5,3,4,6]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>8 [1,2,5,3,6,4]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>7 [1,2,5,4,3,6]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>8 [1,2,5,4,6,3]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>7 [1,2,5,6,3,4]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>6 [1,2,5,6,4,3]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>6 [1,2,6,3,4,5]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,2,6,3,5,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,2,6,4,3,5]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,2,6,4,5,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,2,6,5,3,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,2,6,5,4,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,3,2,4,5,6]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>13 [1,3,2,4,6,5]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>8 [1,3,2,5,4,6]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>9 [1,3,2,5,6,4]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>8 [1,3,2,6,4,5]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>4 [1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>4 [1,3,4,2,5,6]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>12 [1,3,4,2,6,5]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>7 [1,3,4,5,2,6]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>9 [1,3,4,5,6,2]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>7 [1,3,4,6,2,5]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>4 [1,3,4,6,5,2]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>4 [1,3,5,2,4,6]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>8 [1,3,5,2,6,4]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>7 [1,3,5,4,2,6]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>8 [1,3,5,4,6,2]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>7 [1,3,5,6,2,4]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>4 [1,3,5,6,4,2]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>4 [1,3,6,2,4,5]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,3,6,2,5,4]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,3,6,4,2,5]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,3,6,4,5,2]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,3,6,5,2,4]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,3,6,5,4,2]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,4,2,3,5,6]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>10 [1,4,2,3,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,2,5,3,6]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>9 [1,4,2,5,6,3]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>5 [1,4,2,6,3,5]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>4 [1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>4 [1,4,3,2,5,6]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>10 [1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,3,5,2,6]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>9 [1,4,3,5,6,2]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>5 [1,4,3,6,2,5]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>4 [1,4,3,6,5,2]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>4 [1,4,5,2,3,6]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>8 [1,4,5,2,6,3]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>5 [1,4,5,3,2,6]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>8 [1,4,5,3,6,2]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>5 [1,4,5,6,2,3]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>4 [1,4,5,6,3,2]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>4 [1,4,6,2,3,5]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,4,6,2,5,3]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,4,6,3,2,5]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,4,6,3,5,2]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,4,6,5,2,3]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,4,6,5,3,2]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,5,2,3,4,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>6 [1,5,2,3,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>5 [1,5,2,4,3,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>6 [1,5,2,4,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>5 [1,5,2,6,3,4]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>4 [1,5,2,6,4,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>4 [1,5,3,2,4,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>6 [1,5,3,2,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>5 [1,5,3,4,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>6 [1,5,3,4,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>5 [1,5,3,6,2,4]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>4 [1,5,3,6,4,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>4 [1,5,4,2,3,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>6 [1,5,4,2,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>5 [1,5,4,3,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>6 [1,5,4,3,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>5 [1,5,4,6,2,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>4 [1,5,4,6,3,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>4 [1,5,6,2,3,4]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,5,6,2,4,3]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,5,6,3,2,4]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,5,6,3,4,2]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,5,6,4,2,3]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,5,6,4,3,2]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,6,2,3,4,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,2,3,5,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,2,4,3,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,2,4,5,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,2,5,3,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,2,5,4,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,3,2,4,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,3,2,5,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,3,4,2,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,3,5,2,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,4,2,3,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,4,2,5,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,4,3,2,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,4,5,2,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,4,5,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,5,2,3,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,5,2,4,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,5,3,2,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,5,3,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,5,4,2,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,3,4,5,6]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>14 [2,1,3,4,6,5]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>9 [2,1,3,5,4,6]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>10 [2,1,3,5,6,4]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>9 [2,1,3,6,4,5]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,3,6,5,4]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,4,3,5,6]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>11 [2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>6 [2,1,4,5,3,6]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>10 [2,1,4,5,6,3]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>6 [2,1,4,6,3,5]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>5 [2,1,4,6,5,3]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>5 [2,1,5,3,4,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>7 [2,1,5,3,6,4]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>6 [2,1,5,4,3,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>7 [2,1,5,4,6,3]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>6 [2,1,5,6,3,4]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>5 [2,1,5,6,4,3]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>5 [2,1,6,3,4,5]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>2 [2,1,6,3,5,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>2 [2,1,6,4,3,5]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>2 [2,1,6,4,5,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>2 [2,1,6,5,3,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>2 [2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>2 [2,3,1,4,5,6]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>13 [2,3,1,4,6,5]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>8 [2,3,1,5,4,6]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>9 [2,3,1,5,6,4]=>[1,1,0,1,0,0,1,1,0,1,0,0]=>8 [2,3,1,6,4,5]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>4 [2,3,1,6,5,4]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>4 [2,3,4,1,5,6]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>11 [2,3,4,1,6,5]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>6 [2,3,4,5,1,6]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>9 [2,3,4,5,6,1]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>6 [2,3,4,6,1,5]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>4 [2,3,4,6,5,1]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>4 [2,3,5,1,4,6]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>7 [2,3,5,1,6,4]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>6 [2,3,5,4,1,6]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>7 [2,3,5,4,6,1]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>6 [2,3,5,6,1,4]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>4 [2,3,5,6,4,1]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>4 [2,3,6,1,4,5]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>2 [2,3,6,1,5,4]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>2 [2,3,6,4,1,5]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>2 [2,3,6,4,5,1]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>2 [2,3,6,5,1,4]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>2 [2,3,6,5,4,1]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>2 [2,4,1,3,5,6]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>10 [2,4,1,3,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>5 [2,4,1,5,3,6]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>9 [2,4,1,5,6,3]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>5 [2,4,1,6,3,5]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>4 [2,4,1,6,5,3]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>4 [2,4,3,1,5,6]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>10 [2,4,3,1,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>5 [2,4,3,5,1,6]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>9 [2,4,3,5,6,1]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>5 [2,4,3,6,1,5]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>4 [2,4,3,6,5,1]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>4 [2,4,5,1,3,6]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>7 [2,4,5,1,6,3]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>5 [2,4,5,3,1,6]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>7 [2,4,5,3,6,1]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>5 [2,4,5,6,1,3]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>4 [2,4,5,6,3,1]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>4 [2,4,6,1,3,5]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>2 [2,4,6,1,5,3]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>2 [2,4,6,3,1,5]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>2 [2,4,6,3,5,1]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>2 [2,4,6,5,1,3]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>2 [2,4,6,5,3,1]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>2 [2,5,1,3,4,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>6 [2,5,1,3,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>5 [2,5,1,4,3,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>6 [2,5,1,4,6,3]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>5 [2,5,1,6,3,4]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>4 [2,5,1,6,4,3]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>4 [2,5,3,1,4,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>6 [2,5,3,1,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>5 [2,5,3,4,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>6 [2,5,3,4,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>5 [2,5,3,6,1,4]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>4 [2,5,3,6,4,1]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>4 [2,5,4,1,3,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>6 [2,5,4,1,6,3]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>5 [2,5,4,3,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>6 [2,5,4,3,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>5 [2,5,4,6,1,3]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>4 [2,5,4,6,3,1]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>4 [2,5,6,1,3,4]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>2 [2,5,6,1,4,3]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>2 [2,5,6,3,1,4]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>2 [2,5,6,3,4,1]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>2 [2,5,6,4,1,3]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>2 [2,5,6,4,3,1]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>2 [2,6,1,3,4,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,1,3,5,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,1,4,3,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,1,4,5,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,1,5,3,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,1,5,4,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,3,1,4,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,3,1,5,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,3,4,1,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,3,4,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,3,5,1,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,3,5,4,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,4,1,3,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,4,1,5,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,4,3,1,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,4,3,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,4,5,1,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,4,5,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,5,1,3,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,5,1,4,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,5,3,1,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,5,3,4,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,5,4,1,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [2,6,5,4,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>1 [3,1,2,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>12 [3,1,2,4,6,5]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>7 [3,1,2,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>8 [3,1,2,5,6,4]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>7 [3,1,2,6,4,5]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,1,2,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,1,4,2,5,6]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>11 [3,1,4,2,6,5]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>6 [3,1,4,5,2,6]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>8 [3,1,4,5,6,2]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>6 [3,1,4,6,2,5]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>3 [3,1,4,6,5,2]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>3 [3,1,5,2,4,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>7 [3,1,5,2,6,4]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>6 [3,1,5,4,2,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>7 [3,1,5,4,6,2]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>6 [3,1,5,6,2,4]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>3 [3,1,5,6,4,2]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>3 [3,1,6,2,4,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>2 [3,1,6,2,5,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>2 [3,1,6,4,2,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>2 [3,1,6,4,5,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>2 [3,1,6,5,2,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>2 [3,1,6,5,4,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>2 [3,2,1,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>12 [3,2,1,4,6,5]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>7 [3,2,1,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>8 [3,2,1,5,6,4]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>7 [3,2,1,6,4,5]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,2,4,1,5,6]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>11 [3,2,4,1,6,5]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>6 [3,2,4,5,1,6]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>8 [3,2,4,5,6,1]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>6 [3,2,4,6,1,5]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>3 [3,2,4,6,5,1]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>3 [3,2,5,1,4,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>7 [3,2,5,1,6,4]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>6 [3,2,5,4,1,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>7 [3,2,5,4,6,1]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>6 [3,2,5,6,1,4]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>3 [3,2,5,6,4,1]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>3 [3,2,6,1,4,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>2 [3,2,6,1,5,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>2 [3,2,6,4,1,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>2 [3,2,6,4,5,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>2 [3,2,6,5,1,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>2 [3,2,6,5,4,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>2 [3,4,1,2,5,6]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>10 [3,4,1,2,6,5]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>5 [3,4,1,5,2,6]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>8 [3,4,1,5,6,2]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>5 [3,4,1,6,2,5]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>3 [3,4,1,6,5,2]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>3 [3,4,2,1,5,6]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>10 [3,4,2,1,6,5]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>5 [3,4,2,5,1,6]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>8 [3,4,2,5,6,1]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>5 [3,4,2,6,1,5]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>3 [3,4,2,6,5,1]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>3 [3,4,5,1,2,6]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>7 [3,4,5,1,6,2]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>5 [3,4,5,2,1,6]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>7 [3,4,5,2,6,1]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>5 [3,4,5,6,1,2]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>3 [3,4,5,6,2,1]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>3 [3,4,6,1,2,5]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>2 [3,4,6,1,5,2]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>2 [3,4,6,2,1,5]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>2 [3,4,6,2,5,1]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>2 [3,4,6,5,1,2]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>2 [3,4,6,5,2,1]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>2 [3,5,1,2,4,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>6 [3,5,1,2,6,4]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>5 [3,5,1,4,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>6 [3,5,1,4,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>5 [3,5,1,6,2,4]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>3 [3,5,1,6,4,2]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>3 [3,5,2,1,4,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>6 [3,5,2,1,6,4]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>5 [3,5,2,4,1,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>6 [3,5,2,4,6,1]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>5 [3,5,2,6,1,4]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>3 [3,5,2,6,4,1]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>3 [3,5,4,1,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>6 [3,5,4,1,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>5 [3,5,4,2,1,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>6 [3,5,4,2,6,1]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>5 [3,5,4,6,1,2]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>3 [3,5,4,6,2,1]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>3 [3,5,6,1,2,4]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>2 [3,5,6,1,4,2]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>2 [3,5,6,2,1,4]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>2 [3,5,6,2,4,1]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>2 [3,5,6,4,1,2]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>2 [3,5,6,4,2,1]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>2 [3,6,1,2,4,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,1,2,5,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,1,4,2,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,1,5,2,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,1,5,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,2,1,4,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,2,1,5,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,2,4,1,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,2,4,5,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,2,5,1,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,2,5,4,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,4,1,2,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,4,1,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,4,2,1,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,4,2,5,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,4,5,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,4,5,2,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,5,1,2,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,5,1,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,5,2,1,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,5,2,4,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,5,4,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [3,6,5,4,2,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>1 [4,1,2,3,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>9 [4,1,2,3,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>4 [4,1,2,5,3,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>8 [4,1,2,5,6,3]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>4 [4,1,2,6,3,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,1,2,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,1,3,2,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>9 [4,1,3,2,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>4 [4,1,3,5,2,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>8 [4,1,3,5,6,2]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>4 [4,1,3,6,2,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,1,3,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,1,5,2,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>7 [4,1,5,2,6,3]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>4 [4,1,5,3,2,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>7 [4,1,5,3,6,2]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>4 [4,1,5,6,2,3]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>3 [4,1,5,6,3,2]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>3 [4,1,6,2,3,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [4,1,6,2,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [4,1,6,3,2,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [4,1,6,3,5,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [4,1,6,5,2,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [4,1,6,5,3,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [4,2,1,3,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>9 [4,2,1,3,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>4 [4,2,1,5,3,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>8 [4,2,1,5,6,3]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>4 [4,2,1,6,3,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,2,1,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,2,3,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>9 [4,2,3,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>4 [4,2,3,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>8 [4,2,3,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>4 [4,2,3,6,1,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,2,3,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,2,5,1,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>7 [4,2,5,1,6,3]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>4 [4,2,5,3,1,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>7 [4,2,5,3,6,1]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>4 [4,2,5,6,1,3]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>3 [4,2,5,6,3,1]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>3 [4,2,6,1,3,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [4,2,6,3,1,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [4,2,6,3,5,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [4,2,6,5,1,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [4,2,6,5,3,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [4,3,1,2,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>9 [4,3,1,2,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>4 [4,3,1,5,2,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>8 [4,3,1,5,6,2]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>4 [4,3,1,6,2,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,3,1,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,3,2,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>9 [4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>4 [4,3,2,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>8 [4,3,2,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>4 [4,3,2,6,1,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,3,2,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,3,5,1,2,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>7 [4,3,5,1,6,2]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>4 [4,3,5,2,1,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>7 [4,3,5,2,6,1]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>4 [4,3,5,6,1,2]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>3 [4,3,5,6,2,1]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>3 [4,3,6,1,2,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [4,3,6,1,5,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [4,3,6,2,1,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [4,3,6,2,5,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [4,3,6,5,1,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [4,3,6,5,2,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [4,5,1,2,3,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>6 [4,5,1,2,6,3]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>4 [4,5,1,3,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>6 [4,5,1,3,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>4 [4,5,1,6,2,3]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>3 [4,5,1,6,3,2]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>3 [4,5,2,1,3,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>6 [4,5,2,1,6,3]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>4 [4,5,2,3,1,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>6 [4,5,2,3,6,1]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>4 [4,5,2,6,1,3]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>3 [4,5,2,6,3,1]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>3 [4,5,3,1,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>6 [4,5,3,1,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>4 [4,5,3,2,1,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>6 [4,5,3,2,6,1]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>4 [4,5,3,6,1,2]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>3 [4,5,3,6,2,1]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>3 [4,5,6,1,2,3]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>2 [4,5,6,1,3,2]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>2 [4,5,6,2,1,3]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>2 [4,5,6,2,3,1]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>2 [4,5,6,3,1,2]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>2 [4,5,6,3,2,1]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>2 [4,6,1,2,3,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,1,2,5,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,1,3,2,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,1,3,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,1,5,2,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,1,5,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,2,1,3,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,2,1,5,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,2,3,1,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,2,3,5,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,2,5,1,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,2,5,3,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,3,1,2,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,3,2,1,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,3,2,5,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,3,5,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,3,5,2,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,5,1,2,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,5,2,1,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,5,2,3,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,5,3,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [4,6,5,3,2,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>1 [5,1,2,3,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,1,2,3,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,1,2,4,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,1,2,4,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,1,2,6,3,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,1,2,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,1,3,2,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,1,3,2,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,1,3,4,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,1,3,4,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,1,3,6,2,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,1,3,6,4,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,1,4,2,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,1,4,2,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,1,4,3,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,1,4,3,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,1,4,6,2,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,1,4,6,3,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,1,6,2,3,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,1,6,2,4,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,1,6,3,2,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,1,6,3,4,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,1,6,4,2,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,1,6,4,3,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,2,1,3,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,2,1,3,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,2,1,4,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,2,1,4,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,2,1,6,3,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,2,1,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,2,3,1,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,2,3,1,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,2,3,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,2,3,6,4,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,2,4,1,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,2,4,1,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,2,4,3,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,2,4,6,1,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,2,4,6,3,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,2,6,1,3,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,2,6,1,4,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,2,6,3,1,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,2,6,3,4,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,2,6,4,3,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,3,1,2,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,3,1,2,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,3,1,4,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,3,1,4,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,3,1,6,2,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,3,1,6,4,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,3,2,1,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,3,2,1,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,3,2,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,3,2,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,3,2,6,4,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,3,4,1,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,3,4,1,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,3,4,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,3,4,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,3,4,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,3,4,6,2,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,3,6,1,2,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,3,6,1,4,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,3,6,2,1,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,3,6,2,4,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,3,6,4,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,3,6,4,2,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,4,1,2,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,4,1,2,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,4,1,3,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,4,1,3,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,4,1,6,2,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,4,1,6,3,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,4,2,1,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,4,2,1,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,4,2,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,4,2,3,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,4,2,6,1,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,4,2,6,3,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,4,3,1,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,4,3,1,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>5 [5,4,3,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>4 [5,4,3,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,4,3,6,2,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,4,6,1,2,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,4,6,1,3,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,4,6,2,3,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,4,6,3,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,4,6,3,2,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [5,6,1,2,3,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,1,2,4,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,1,3,2,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,1,3,4,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,1,4,2,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,1,4,3,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,2,1,3,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,2,1,4,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,2,3,1,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,2,3,4,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,2,4,1,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,2,4,3,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,3,1,2,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,3,1,4,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,3,2,1,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,3,2,4,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,3,4,2,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,4,1,2,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,4,1,3,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,4,2,1,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,4,2,3,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [5,6,4,3,2,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>1 [6,1,2,3,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,2,3,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,2,4,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,2,4,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,2,5,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,2,5,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,3,2,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,3,2,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,3,4,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,3,4,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,3,5,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,3,5,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,4,2,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,4,2,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,4,3,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,4,3,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,4,5,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,4,5,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,5,2,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,5,2,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,5,3,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,5,3,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,5,4,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,1,5,4,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,1,3,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,1,3,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,1,4,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,1,4,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,1,5,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,1,5,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,3,1,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,3,1,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,3,4,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,3,5,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,3,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,4,1,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,4,1,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,4,3,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,4,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,4,5,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,4,5,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,5,1,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,5,1,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,5,3,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,5,3,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,5,4,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,2,5,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,1,2,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,1,2,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,1,4,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,1,4,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,1,5,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,1,5,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,2,1,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,2,1,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,2,4,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,2,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,2,5,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,2,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,4,1,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,4,1,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,4,2,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,4,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,4,5,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,4,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,5,1,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,5,1,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,5,2,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,5,2,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,5,4,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,3,5,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,1,2,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,1,2,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,1,3,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,1,3,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,1,5,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,1,5,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,2,1,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,2,1,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,2,3,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,2,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,2,5,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,2,5,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,3,1,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,3,1,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,3,2,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,3,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,3,5,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,3,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,5,1,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,5,1,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,5,2,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,5,2,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,5,3,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,4,5,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,1,2,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,1,2,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,1,3,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,1,3,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,1,4,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,1,4,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,2,1,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,2,1,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,2,3,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,2,3,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,2,4,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,2,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,3,1,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,3,1,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,3,2,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,3,2,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,3,4,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,4,1,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,4,1,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,4,2,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,4,2,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,4,3,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [6,5,4,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0
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Description
The bounce statistic of a Dyck path.
The bounce path $D'$ of a Dyck path $D$ is the Dyck path obtained from $D$ by starting at the end point $(2n,0)$, traveling north-west until hitting $D$, then bouncing back south-west to the $x$-axis, and repeating this procedure until finally reaching the point $(0,0)$.
The points where $D'$ touches the $x$-axis are called bounce points, and a bounce path is uniquely determined by its bounce points.
This statistic is given by the sum of all $i$ for which the bounce path $D'$ of $D$ touches the $x$-axis at $(2i,0)$.
In particular, the bounce statistics of $D$ and $D'$ coincide.
Map
left-to-right-maxima to Dyck path
Description
The left-to-right maxima of a permutation as a Dyck path.
Let $(c_1, \dots, c_k)$ be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are $c_1, c_1+c_2, \dots, c_1+\dots+c_k$.
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.