Identifier
Values
=>
Cc0005;cc-rep-1 Cc0005;cc-rep
[1]=>[1,0]=>[1,0]=>1 [1,2]=>[1,0,1,0]=>[1,1,0,0]=>1 [2,1]=>[1,1,0,0]=>[1,0,1,0]=>2 [1,2,3]=>[1,0,1,0,1,0]=>[1,1,1,0,0,0]=>1 [1,3,2]=>[1,0,1,1,0,0]=>[1,1,0,1,0,0]=>2 [2,1,3]=>[1,1,0,0,1,0]=>[1,0,1,1,0,0]=>2 [2,3,1]=>[1,1,0,1,0,0]=>[1,1,0,0,1,0]=>3 [3,1,2]=>[1,1,1,0,0,0]=>[1,0,1,0,1,0]=>3 [3,2,1]=>[1,1,1,0,0,0]=>[1,0,1,0,1,0]=>3 [1,2,3,4]=>[1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,0]=>1 [1,2,4,3]=>[1,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,0,0]=>2 [1,3,2,4]=>[1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,0]=>2 [1,3,4,2]=>[1,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,0]=>3 [1,4,2,3]=>[1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,0]=>3 [1,4,3,2]=>[1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,0]=>3 [2,1,3,4]=>[1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,0]=>2 [2,1,4,3]=>[1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,0]=>3 [2,3,1,4]=>[1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,0]=>3 [2,3,4,1]=>[1,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0]=>4 [2,4,1,3]=>[1,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0]=>4 [2,4,3,1]=>[1,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0]=>4 [3,1,2,4]=>[1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0]=>3 [3,1,4,2]=>[1,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0]=>4 [3,2,1,4]=>[1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0]=>3 [3,2,4,1]=>[1,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0]=>4 [3,4,1,2]=>[1,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,0]=>4 [3,4,2,1]=>[1,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,0]=>4 [4,1,2,3]=>[1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0]=>4 [4,1,3,2]=>[1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0]=>4 [4,2,1,3]=>[1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0]=>4 [4,2,3,1]=>[1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0]=>4 [4,3,1,2]=>[1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0]=>4 [4,3,2,1]=>[1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0]=>4 [1,2,3,4,5]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,5,4]=>[1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,0,0]=>2 [1,2,4,3,5]=>[1,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0]=>2 [1,2,4,5,3]=>[1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0]=>3 [1,2,5,3,4]=>[1,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,0]=>3 [1,2,5,4,3]=>[1,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,0]=>3 [1,3,2,4,5]=>[1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,0]=>2 [1,3,2,5,4]=>[1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,0]=>3 [1,3,4,2,5]=>[1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,0]=>3 [1,3,4,5,2]=>[1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0]=>4 [1,3,5,2,4]=>[1,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0]=>4 [1,3,5,4,2]=>[1,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0]=>4 [1,4,2,3,5]=>[1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0]=>3 [1,4,2,5,3]=>[1,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0]=>4 [1,4,3,2,5]=>[1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0]=>3 [1,4,3,5,2]=>[1,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0]=>4 [1,4,5,2,3]=>[1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0]=>4 [1,4,5,3,2]=>[1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0]=>4 [1,5,2,3,4]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0]=>4 [1,5,2,4,3]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0]=>4 [1,5,3,2,4]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0]=>4 [1,5,3,4,2]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0]=>4 [1,5,4,2,3]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0]=>4 [1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0]=>4 [2,1,3,4,5]=>[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,0,0]=>2 [2,1,3,5,4]=>[1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,0]=>3 [2,1,4,3,5]=>[1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,0]=>3 [2,1,4,5,3]=>[1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0]=>4 [2,1,5,3,4]=>[1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0]=>4 [2,1,5,4,3]=>[1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0]=>4 [2,3,1,4,5]=>[1,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,0]=>3 [2,3,1,5,4]=>[1,1,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,0]=>4 [2,3,4,1,5]=>[1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0]=>4 [2,3,4,5,1]=>[1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0]=>5 [2,3,5,1,4]=>[1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,0]=>5 [2,3,5,4,1]=>[1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,0]=>5 [2,4,1,3,5]=>[1,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0]=>4 [2,4,1,5,3]=>[1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0]=>5 [2,4,3,1,5]=>[1,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0]=>4 [2,4,3,5,1]=>[1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0]=>5 [2,4,5,1,3]=>[1,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0]=>5 [2,4,5,3,1]=>[1,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0]=>5 [2,5,1,3,4]=>[1,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0]=>5 [2,5,1,4,3]=>[1,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0]=>5 [2,5,3,1,4]=>[1,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0]=>5 [2,5,3,4,1]=>[1,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0]=>5 [2,5,4,1,3]=>[1,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0]=>5 [2,5,4,3,1]=>[1,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0]=>5 [3,1,2,4,5]=>[1,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,0]=>3 [3,1,2,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,0]=>4 [3,1,4,2,5]=>[1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0]=>4 [3,1,4,5,2]=>[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0]=>5 [3,1,5,2,4]=>[1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,0]=>5 [3,1,5,4,2]=>[1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,0]=>5 [3,2,1,4,5]=>[1,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,0]=>3 [3,2,1,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,0]=>4 [3,2,4,1,5]=>[1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0]=>4 [3,2,4,5,1]=>[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0]=>5 [3,2,5,1,4]=>[1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,0]=>5 [3,2,5,4,1]=>[1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,0]=>5 [3,4,1,2,5]=>[1,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0]=>4 [3,4,1,5,2]=>[1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0]=>5 [3,4,2,1,5]=>[1,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0]=>4 [3,4,2,5,1]=>[1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0]=>5 [3,4,5,1,2]=>[1,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,0]=>5 [3,4,5,2,1]=>[1,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,0]=>5 [3,5,1,2,4]=>[1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0]=>5 [3,5,1,4,2]=>[1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0]=>5 [3,5,2,1,4]=>[1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0]=>5 [3,5,2,4,1]=>[1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0]=>5 [3,5,4,1,2]=>[1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0]=>5 [3,5,4,2,1]=>[1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0]=>5 [4,1,2,3,5]=>[1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]=>4 [4,1,2,5,3]=>[1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0]=>5 [4,1,3,2,5]=>[1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]=>4 [4,1,3,5,2]=>[1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0]=>5 [4,1,5,2,3]=>[1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]=>5 [4,1,5,3,2]=>[1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]=>5 [4,2,1,3,5]=>[1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]=>4 [4,2,1,5,3]=>[1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0]=>5 [4,2,3,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]=>4 [4,2,3,5,1]=>[1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0]=>5 [4,2,5,1,3]=>[1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]=>5 [4,2,5,3,1]=>[1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]=>5 [4,3,1,2,5]=>[1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]=>4 [4,3,1,5,2]=>[1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0]=>5 [4,3,2,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]=>4 [4,3,2,5,1]=>[1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0]=>5 [4,3,5,1,2]=>[1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]=>5 [4,3,5,2,1]=>[1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]=>5 [4,5,1,2,3]=>[1,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]=>5 [4,5,1,3,2]=>[1,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]=>5 [4,5,2,1,3]=>[1,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]=>5 [4,5,2,3,1]=>[1,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]=>5 [4,5,3,1,2]=>[1,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]=>5 [4,5,3,2,1]=>[1,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]=>5 [5,1,2,3,4]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,1,2,4,3]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,1,3,2,4]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,1,3,4,2]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,1,4,2,3]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,1,4,3,2]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,2,1,3,4]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,2,1,4,3]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,2,3,1,4]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,2,3,4,1]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,2,4,1,3]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,2,4,3,1]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,3,1,2,4]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,3,1,4,2]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,3,2,1,4]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,3,2,4,1]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,3,4,1,2]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,3,4,2,1]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,4,1,2,3]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,4,1,3,2]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,4,2,1,3]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,4,2,3,1]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,4,3,1,2]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [5,4,3,2,1]=>[1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [1,2,3,4,5,6]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,3,4,6,5]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>2 [1,2,3,5,4,6]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>2 [1,2,3,5,6,4]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>3 [1,2,3,6,4,5]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>3 [1,2,3,6,5,4]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>3 [1,2,4,3,5,6]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>2 [1,2,4,3,6,5]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>3 [1,2,4,5,3,6]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>3 [1,2,4,5,6,3]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>4 [1,2,4,6,3,5]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,2,4,6,5,3]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,2,5,3,4,6]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>3 [1,2,5,3,6,4]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,2,5,4,3,6]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>3 [1,2,5,4,6,3]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,2,5,6,3,4]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,2,5,6,4,3]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,2,6,3,4,5]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>4 [1,2,6,3,5,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>4 [1,2,6,4,3,5]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>4 [1,2,6,4,5,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>4 [1,2,6,5,3,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>4 [1,2,6,5,4,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>4 [1,3,2,4,5,6]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>2 [1,3,2,4,6,5]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>3 [1,3,2,5,4,6]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>3 [1,3,2,5,6,4]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,3,2,6,4,5]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>4 [1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>4 [1,3,4,2,5,6]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>3 [1,3,4,2,6,5]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>4 [1,3,4,5,2,6]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [1,3,4,5,6,2]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>5 [1,3,4,6,2,5]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>5 [1,3,4,6,5,2]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>5 [1,3,5,2,4,6]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>4 [1,3,5,2,6,4]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>5 [1,3,5,4,2,6]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>4 [1,3,5,4,6,2]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>5 [1,3,5,6,2,4]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>5 [1,3,5,6,4,2]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>5 [1,3,6,2,4,5]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>5 [1,3,6,2,5,4]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>5 [1,3,6,4,2,5]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>5 [1,3,6,4,5,2]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>5 [1,3,6,5,2,4]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>5 [1,3,6,5,4,2]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>5 [1,4,2,3,5,6]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>3 [1,4,2,3,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>4 [1,4,2,5,3,6]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>4 [1,4,2,5,6,3]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>5 [1,4,2,6,3,5]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>5 [1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>5 [1,4,3,2,5,6]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>3 [1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>4 [1,4,3,5,2,6]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>4 [1,4,3,5,6,2]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>5 [1,4,3,6,2,5]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>5 [1,4,3,6,5,2]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>5 [1,4,5,2,3,6]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>4 [1,4,5,2,6,3]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>5 [1,4,5,3,2,6]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>4 [1,4,5,3,6,2]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>5 [1,4,5,6,2,3]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>5 [1,4,5,6,3,2]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>5 [1,4,6,2,3,5]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>5 [1,4,6,2,5,3]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>5 [1,4,6,3,2,5]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>5 [1,4,6,3,5,2]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>5 [1,4,6,5,2,3]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>5 [1,4,6,5,3,2]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>5 [1,5,2,3,4,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>4 [1,5,2,3,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>5 [1,5,2,4,3,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>4 [1,5,2,4,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>5 [1,5,2,6,3,4]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>5 [1,5,2,6,4,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>5 [1,5,3,2,4,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>4 [1,5,3,2,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>5 [1,5,3,4,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>4 [1,5,3,4,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>5 [1,5,3,6,2,4]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>5 [1,5,3,6,4,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>5 [1,5,4,2,3,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>4 [1,5,4,2,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>5 [1,5,4,3,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>4 [1,5,4,3,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>5 [1,5,4,6,2,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>5 [1,5,4,6,3,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>5 [1,5,6,2,3,4]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>5 [1,5,6,2,4,3]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>5 [1,5,6,3,2,4]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>5 [1,5,6,3,4,2]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>5 [1,5,6,4,2,3]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>5 [1,5,6,4,3,2]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>5 [1,6,2,3,4,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,2,3,5,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,2,4,3,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,2,4,5,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,2,5,3,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,2,5,4,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,3,2,4,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,3,2,5,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,3,4,2,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,3,5,2,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,4,2,3,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,4,2,5,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,4,3,2,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,4,5,2,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,4,5,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,5,2,3,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,5,2,4,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,5,3,2,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,5,3,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,5,4,2,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [2,1,3,4,5,6]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>2 [2,1,3,4,6,5]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>3 [2,1,3,5,4,6]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>3 [2,1,3,5,6,4]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>4 [2,1,3,6,4,5]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>4 [2,1,3,6,5,4]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>4 [2,1,4,3,5,6]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>3 [2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>4 [2,1,4,5,3,6]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>4 [2,1,4,5,6,3]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>5 [2,1,4,6,3,5]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>5 [2,1,4,6,5,3]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>5 [2,1,5,3,4,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>4 [2,1,5,3,6,4]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>5 [2,1,5,4,3,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>4 [2,1,5,4,6,3]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>5 [2,1,5,6,3,4]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>5 [2,1,5,6,4,3]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>5 [2,1,6,3,4,5]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>5 [2,1,6,3,5,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>5 [2,1,6,4,3,5]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>5 [2,1,6,4,5,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>5 [2,1,6,5,3,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>5 [2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>5 [2,3,1,4,5,6]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,3,1,4,6,5]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>4 [2,3,1,5,4,6]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>4 [2,3,1,5,6,4]=>[1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>5 [2,3,1,6,4,5]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>5 [2,3,1,6,5,4]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>5 [2,3,4,1,5,6]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>4 [2,3,4,1,6,5]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>5 [2,3,4,5,1,6]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,3,4,5,6,1]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>6 [2,3,4,6,1,5]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>6 [2,3,4,6,5,1]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>6 [2,3,5,1,4,6]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,3,5,1,6,4]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>6 [2,3,5,4,1,6]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,3,5,4,6,1]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>6 [2,3,5,6,1,4]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,3,5,6,4,1]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,3,6,1,4,5]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>6 [2,3,6,1,5,4]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>6 [2,3,6,4,1,5]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>6 [2,3,6,4,5,1]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>6 [2,3,6,5,1,4]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>6 [2,3,6,5,4,1]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>6 [2,4,1,3,5,6]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>4 [2,4,1,3,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>5 [2,4,1,5,3,6]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>5 [2,4,1,5,6,3]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>6 [2,4,1,6,3,5]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>6 [2,4,1,6,5,3]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>6 [2,4,3,1,5,6]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>4 [2,4,3,1,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>5 [2,4,3,5,1,6]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>5 [2,4,3,5,6,1]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>6 [2,4,3,6,1,5]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>6 [2,4,3,6,5,1]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>6 [2,4,5,1,3,6]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,5,1,6,3]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>6 [2,4,5,3,1,6]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,5,3,6,1]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>6 [2,4,5,6,1,3]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,4,5,6,3,1]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,4,6,1,3,5]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,4,6,1,5,3]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,4,6,3,1,5]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,4,6,3,5,1]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,4,6,5,1,3]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,4,6,5,3,1]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,5,1,3,4,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,5,1,3,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>6 [2,5,1,4,3,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,5,1,4,6,3]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>6 [2,5,1,6,3,4]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>6 [2,5,1,6,4,3]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>6 [2,5,3,1,4,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,5,3,1,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>6 [2,5,3,4,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,5,3,4,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>6 [2,5,3,6,1,4]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>6 [2,5,3,6,4,1]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>6 [2,5,4,1,3,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,5,4,1,6,3]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>6 [2,5,4,3,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,5,4,3,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>6 [2,5,4,6,1,3]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>6 [2,5,4,6,3,1]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>6 [2,5,6,1,3,4]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,6,1,4,3]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,6,3,1,4]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,6,3,4,1]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,6,4,1,3]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,6,4,3,1]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,6,1,3,4,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,1,3,5,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,1,4,3,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,1,4,5,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,1,5,3,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,1,5,4,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,3,1,4,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,3,1,5,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,3,4,1,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,3,4,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,3,5,1,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,3,5,4,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,4,1,3,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,4,1,5,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,4,3,1,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,4,3,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,4,5,1,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,4,5,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,5,1,3,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,5,1,4,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,5,3,1,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,5,3,4,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,5,4,1,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [2,6,5,4,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>6 [3,1,2,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,1,2,4,6,5]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>4 [3,1,2,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>4 [3,1,2,5,6,4]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>5 [3,1,2,6,4,5]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>5 [3,1,2,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>5 [3,1,4,2,5,6]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>4 [3,1,4,2,6,5]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0]=>5 [3,1,4,5,2,6]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>5 [3,1,4,5,6,2]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>6 [3,1,4,6,2,5]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>6 [3,1,4,6,5,2]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>6 [3,1,5,2,4,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>5 [3,1,5,2,6,4]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>6 [3,1,5,4,2,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>5 [3,1,5,4,6,2]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>6 [3,1,5,6,2,4]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>6 [3,1,5,6,4,2]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>6 [3,1,6,2,4,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>6 [3,1,6,2,5,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>6 [3,1,6,4,2,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>6 [3,1,6,4,5,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>6 [3,1,6,5,2,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>6 [3,1,6,5,4,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>6 [3,2,1,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,2,1,4,6,5]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>4 [3,2,1,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>4 [3,2,1,5,6,4]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>5 [3,2,1,6,4,5]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>5 [3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>5 [3,2,4,1,5,6]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>4 [3,2,4,1,6,5]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0]=>5 [3,2,4,5,1,6]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>5 [3,2,4,5,6,1]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>6 [3,2,4,6,1,5]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>6 [3,2,4,6,5,1]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>6 [3,2,5,1,4,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>5 [3,2,5,1,6,4]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>6 [3,2,5,4,1,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>5 [3,2,5,4,6,1]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>6 [3,2,5,6,1,4]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>6 [3,2,5,6,4,1]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>6 [3,2,6,1,4,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>6 [3,2,6,1,5,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>6 [3,2,6,4,1,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>6 [3,2,6,4,5,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>6 [3,2,6,5,1,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>6 [3,2,6,5,4,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>6 [3,4,1,2,5,6]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>4 [3,4,1,2,6,5]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>5 [3,4,1,5,2,6]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>5 [3,4,1,5,6,2]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>6 [3,4,1,6,2,5]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>6 [3,4,1,6,5,2]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>6 [3,4,2,1,5,6]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>4 [3,4,2,1,6,5]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>5 [3,4,2,5,1,6]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>5 [3,4,2,5,6,1]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>6 [3,4,2,6,1,5]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>6 [3,4,2,6,5,1]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>6 [3,4,5,1,2,6]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,5,1,6,2]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>6 [3,4,5,2,1,6]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,5,2,6,1]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>6 [3,4,5,6,1,2]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>6 [3,4,5,6,2,1]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>6 [3,4,6,1,2,5]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>6 [3,4,6,1,5,2]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>6 [3,4,6,2,1,5]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>6 [3,4,6,2,5,1]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>6 [3,4,6,5,1,2]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>6 [3,4,6,5,2,1]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>6 [3,5,1,2,4,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,1,2,6,4]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>6 [3,5,1,4,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,1,4,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>6 [3,5,1,6,2,4]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>6 [3,5,1,6,4,2]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>6 [3,5,2,1,4,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,2,1,6,4]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>6 [3,5,2,4,1,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,2,4,6,1]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>6 [3,5,2,6,1,4]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>6 [3,5,2,6,4,1]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>6 [3,5,4,1,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,4,1,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>6 [3,5,4,2,1,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,4,2,6,1]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>6 [3,5,4,6,1,2]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>6 [3,5,4,6,2,1]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>6 [3,5,6,1,2,4]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,6,1,4,2]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,6,2,1,4]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,6,2,4,1]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,6,4,1,2]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,6,4,2,1]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,1,2,4,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,1,2,5,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,1,4,2,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,1,5,2,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,1,5,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,2,1,4,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,2,1,5,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,2,4,1,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,2,4,5,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,2,5,1,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,2,5,4,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,4,1,2,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,4,1,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,4,2,1,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,4,2,5,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,4,5,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,4,5,2,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,5,1,2,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,5,1,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,5,2,1,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,5,2,4,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,5,4,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [3,6,5,4,2,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>6 [4,1,2,3,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>4 [4,1,2,3,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>5 [4,1,2,5,3,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>5 [4,1,2,5,6,3]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>6 [4,1,2,6,3,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>6 [4,1,2,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>6 [4,1,3,2,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>4 [4,1,3,2,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>5 [4,1,3,5,2,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>5 [4,1,3,5,6,2]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>6 [4,1,3,6,2,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>6 [4,1,3,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>6 [4,1,5,2,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>5 [4,1,5,2,6,3]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>6 [4,1,5,3,2,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>5 [4,1,5,3,6,2]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>6 [4,1,5,6,2,3]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>6 [4,1,5,6,3,2]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>6 [4,1,6,2,3,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>6 [4,1,6,2,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>6 [4,1,6,3,2,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>6 [4,1,6,3,5,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>6 [4,1,6,5,2,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>6 [4,1,6,5,3,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>6 [4,2,1,3,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>4 [4,2,1,3,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>5 [4,2,1,5,3,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>5 [4,2,1,5,6,3]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>6 [4,2,1,6,3,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>6 [4,2,1,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>6 [4,2,3,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>4 [4,2,3,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>5 [4,2,3,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>5 [4,2,3,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>6 [4,2,3,6,1,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>6 [4,2,3,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>6 [4,2,5,1,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>5 [4,2,5,1,6,3]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>6 [4,2,5,3,1,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>5 [4,2,5,3,6,1]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>6 [4,2,5,6,1,3]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>6 [4,2,5,6,3,1]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>6 [4,2,6,1,3,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>6 [4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>6 [4,2,6,3,1,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>6 [4,2,6,3,5,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>6 [4,2,6,5,1,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>6 [4,2,6,5,3,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>6 [4,3,1,2,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>4 [4,3,1,2,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>5 [4,3,1,5,2,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>5 [4,3,1,5,6,2]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>6 [4,3,1,6,2,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>6 [4,3,1,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>6 [4,3,2,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>4 [4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>5 [4,3,2,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>5 [4,3,2,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>6 [4,3,2,6,1,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>6 [4,3,2,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>6 [4,3,5,1,2,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>5 [4,3,5,1,6,2]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>6 [4,3,5,2,1,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>5 [4,3,5,2,6,1]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>6 [4,3,5,6,1,2]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>6 [4,3,5,6,2,1]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>6 [4,3,6,1,2,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>6 [4,3,6,1,5,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>6 [4,3,6,2,1,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>6 [4,3,6,2,5,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>6 [4,3,6,5,1,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>6 [4,3,6,5,2,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>6 [4,5,1,2,3,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,1,2,6,3]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>6 [4,5,1,3,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,1,3,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>6 [4,5,1,6,2,3]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>6 [4,5,1,6,3,2]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>6 [4,5,2,1,3,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,2,1,6,3]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>6 [4,5,2,3,1,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,2,3,6,1]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>6 [4,5,2,6,1,3]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>6 [4,5,2,6,3,1]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>6 [4,5,3,1,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,3,1,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>6 [4,5,3,2,1,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,3,2,6,1]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>6 [4,5,3,6,1,2]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>6 [4,5,3,6,2,1]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>6 [4,5,6,1,2,3]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>6 [4,5,6,1,3,2]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>6 [4,5,6,2,1,3]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>6 [4,5,6,2,3,1]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>6 [4,5,6,3,1,2]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>6 [4,5,6,3,2,1]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>6 [4,6,1,2,3,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,1,2,5,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,1,3,2,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,1,3,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,1,5,2,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,1,5,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,2,1,3,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,2,1,5,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,2,3,1,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,2,3,5,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,2,5,1,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,2,5,3,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,3,1,2,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,3,2,1,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,3,2,5,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,3,5,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,3,5,2,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,5,1,2,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,5,2,1,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,5,2,3,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,5,3,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [4,6,5,3,2,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>6 [5,1,2,3,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,1,2,3,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,1,2,4,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,1,2,4,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,1,2,6,3,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,1,2,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,1,3,2,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,1,3,2,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,1,3,4,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,1,3,4,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,1,3,6,2,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,1,3,6,4,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,1,4,2,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,1,4,2,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,1,4,3,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,1,4,3,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,1,4,6,2,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,1,4,6,3,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,1,6,2,3,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,1,6,2,4,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,1,6,3,2,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,1,6,3,4,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,1,6,4,2,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,1,6,4,3,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,2,1,3,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,2,1,3,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,2,1,4,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,2,1,4,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,2,1,6,3,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,2,1,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,2,3,1,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,2,3,1,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,2,3,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,2,3,6,4,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,2,4,1,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,2,4,1,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,2,4,3,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,2,4,6,1,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,2,4,6,3,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,2,6,1,3,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,2,6,1,4,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,2,6,3,1,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,2,6,3,4,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,2,6,4,3,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,3,1,2,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,3,1,2,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,3,1,4,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,3,1,4,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,3,1,6,2,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,3,1,6,4,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,3,2,1,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,3,2,1,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,3,2,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,3,2,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,3,2,6,4,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,3,4,1,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,3,4,1,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,3,4,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,3,4,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,3,4,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,3,4,6,2,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,3,6,1,2,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,3,6,1,4,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,3,6,2,1,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,3,6,2,4,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,3,6,4,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,3,6,4,2,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,4,1,2,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,4,1,2,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,4,1,3,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,4,1,3,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,4,1,6,2,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,4,1,6,3,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,4,2,1,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,4,2,1,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,4,2,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,4,2,3,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,4,2,6,1,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,4,2,6,3,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,4,3,1,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,4,3,1,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [5,4,3,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>6 [5,4,3,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,4,3,6,2,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>6 [5,4,6,1,2,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,4,6,1,3,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,4,6,2,3,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,4,6,3,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,4,6,3,2,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>6 [5,6,1,2,3,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,1,2,4,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,1,3,2,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,1,3,4,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,1,4,2,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,1,4,3,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,2,1,3,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,2,1,4,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,2,3,1,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,2,3,4,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,2,4,1,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,2,4,3,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,3,1,2,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,3,1,4,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,3,2,1,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,3,2,4,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,3,4,2,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,4,1,2,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,4,1,3,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,4,2,1,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,4,2,3,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [5,6,4,3,2,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>6 [6,1,2,3,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,2,3,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,2,4,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,2,4,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,2,5,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,2,5,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,3,2,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,3,2,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,3,4,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,3,4,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,3,5,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,3,5,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,4,2,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,4,2,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,4,3,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,4,3,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,4,5,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,4,5,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,5,2,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,5,2,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,5,3,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,5,3,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,5,4,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,1,5,4,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,1,3,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,1,3,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,1,4,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,1,4,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,1,5,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,1,5,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,3,1,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,3,1,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,3,4,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,3,5,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,3,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,4,1,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,4,1,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,4,3,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,4,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,4,5,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,4,5,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,5,1,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,5,1,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,5,3,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,5,3,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,5,4,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,2,5,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,1,2,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,1,2,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,1,4,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,1,4,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,1,5,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,1,5,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,2,1,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,2,1,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,2,4,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,2,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,2,5,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,2,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,4,1,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,4,1,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,4,2,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,4,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,4,5,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,4,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,5,1,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,5,1,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,5,2,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,5,2,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,5,4,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,3,5,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,1,2,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,1,2,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,1,3,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,1,3,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,1,5,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,1,5,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,2,1,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,2,1,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,2,3,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,2,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,2,5,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,2,5,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,3,1,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,3,1,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,3,2,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,3,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,3,5,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,3,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,5,1,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,5,1,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,5,2,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,5,2,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,5,3,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,4,5,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,1,2,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,1,2,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,1,3,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,1,3,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,1,4,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,1,4,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,2,1,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,2,1,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,2,3,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,2,3,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,2,4,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,2,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,3,1,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,3,1,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,3,2,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,3,2,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,3,4,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,4,1,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,4,1,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,4,2,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,4,2,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,4,3,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [6,5,4,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6
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Description
The number of indecomposable summands of the tensor product of two copies of the dual of the Nakayama algebra associated to a Dyck path.
Let $A$ be the Nakayama algebra associated to a Dyck path as given in DyckPaths/NakayamaAlgebras. This statistics is the number of indecomposable summands of $D(A) \otimes D(A)$, where $D(A)$ is the natural dual of $A$.
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.
Map
inverse Kreweras complement
Description
Return the inverse of the Kreweras complement of a Dyck path, regarded as a noncrossing set partition.
To identify Dyck paths and noncrossing set partitions, this maps uses the following classical bijection. The number of down steps after the $i$-th up step of the Dyck path is the size of the block of the set partition whose maximal element is $i$. If $i$ is not a maximal element of a block, the $(i+1)$-st step is also an up step.