Identifier
Values
=>
Cc0005;cc-rep
[1]=>[1]=>[1,0]=>0 [1,2]=>[2]=>[1,1,0,0]=>1 [2,1]=>[1,1]=>[1,0,1,0]=>0 [1,2,3]=>[3]=>[1,1,1,0,0,0]=>1 [1,3,2]=>[2,1]=>[1,1,0,0,1,0]=>1 [2,1,3]=>[1,2]=>[1,0,1,1,0,0]=>1 [2,3,1]=>[2,1]=>[1,1,0,0,1,0]=>1 [3,1,2]=>[1,2]=>[1,0,1,1,0,0]=>1 [3,2,1]=>[1,1,1]=>[1,0,1,0,1,0]=>0 [1,2,3,4]=>[4]=>[1,1,1,1,0,0,0,0]=>2 [1,2,4,3]=>[3,1]=>[1,1,1,0,0,0,1,0]=>1 [1,3,2,4]=>[2,2]=>[1,1,0,0,1,1,0,0]=>2 [1,3,4,2]=>[3,1]=>[1,1,1,0,0,0,1,0]=>1 [1,4,2,3]=>[2,2]=>[1,1,0,0,1,1,0,0]=>2 [1,4,3,2]=>[2,1,1]=>[1,1,0,0,1,0,1,0]=>1 [2,1,3,4]=>[1,3]=>[1,0,1,1,1,0,0,0]=>1 [2,1,4,3]=>[1,2,1]=>[1,0,1,1,0,0,1,0]=>1 [2,3,1,4]=>[2,2]=>[1,1,0,0,1,1,0,0]=>2 [2,3,4,1]=>[3,1]=>[1,1,1,0,0,0,1,0]=>1 [2,4,1,3]=>[2,2]=>[1,1,0,0,1,1,0,0]=>2 [2,4,3,1]=>[2,1,1]=>[1,1,0,0,1,0,1,0]=>1 [3,1,2,4]=>[1,3]=>[1,0,1,1,1,0,0,0]=>1 [3,1,4,2]=>[1,2,1]=>[1,0,1,1,0,0,1,0]=>1 [3,2,1,4]=>[1,1,2]=>[1,0,1,0,1,1,0,0]=>1 [3,2,4,1]=>[1,2,1]=>[1,0,1,1,0,0,1,0]=>1 [3,4,1,2]=>[2,2]=>[1,1,0,0,1,1,0,0]=>2 [3,4,2,1]=>[2,1,1]=>[1,1,0,0,1,0,1,0]=>1 [4,1,2,3]=>[1,3]=>[1,0,1,1,1,0,0,0]=>1 [4,1,3,2]=>[1,2,1]=>[1,0,1,1,0,0,1,0]=>1 [4,2,1,3]=>[1,1,2]=>[1,0,1,0,1,1,0,0]=>1 [4,2,3,1]=>[1,2,1]=>[1,0,1,1,0,0,1,0]=>1 [4,3,1,2]=>[1,1,2]=>[1,0,1,0,1,1,0,0]=>1 [4,3,2,1]=>[1,1,1,1]=>[1,0,1,0,1,0,1,0]=>0 [1,2,3,4,5]=>[5]=>[1,1,1,1,1,0,0,0,0,0]=>2 [1,2,3,5,4]=>[4,1]=>[1,1,1,1,0,0,0,0,1,0]=>2 [1,2,4,3,5]=>[3,2]=>[1,1,1,0,0,0,1,1,0,0]=>2 [1,2,4,5,3]=>[4,1]=>[1,1,1,1,0,0,0,0,1,0]=>2 [1,2,5,3,4]=>[3,2]=>[1,1,1,0,0,0,1,1,0,0]=>2 [1,2,5,4,3]=>[3,1,1]=>[1,1,1,0,0,0,1,0,1,0]=>1 [1,3,2,4,5]=>[2,3]=>[1,1,0,0,1,1,1,0,0,0]=>2 [1,3,2,5,4]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>2 [1,3,4,2,5]=>[3,2]=>[1,1,1,0,0,0,1,1,0,0]=>2 [1,3,4,5,2]=>[4,1]=>[1,1,1,1,0,0,0,0,1,0]=>2 [1,3,5,2,4]=>[3,2]=>[1,1,1,0,0,0,1,1,0,0]=>2 [1,3,5,4,2]=>[3,1,1]=>[1,1,1,0,0,0,1,0,1,0]=>1 [1,4,2,3,5]=>[2,3]=>[1,1,0,0,1,1,1,0,0,0]=>2 [1,4,2,5,3]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>2 [1,4,3,2,5]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>2 [1,4,3,5,2]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>2 [1,4,5,2,3]=>[3,2]=>[1,1,1,0,0,0,1,1,0,0]=>2 [1,4,5,3,2]=>[3,1,1]=>[1,1,1,0,0,0,1,0,1,0]=>1 [1,5,2,3,4]=>[2,3]=>[1,1,0,0,1,1,1,0,0,0]=>2 [1,5,2,4,3]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>2 [1,5,3,2,4]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>2 [1,5,3,4,2]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>2 [1,5,4,2,3]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>2 [1,5,4,3,2]=>[2,1,1,1]=>[1,1,0,0,1,0,1,0,1,0]=>1 [2,1,3,4,5]=>[1,4]=>[1,0,1,1,1,1,0,0,0,0]=>2 [2,1,3,5,4]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>1 [2,1,4,3,5]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>2 [2,1,4,5,3]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>1 [2,1,5,3,4]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>2 [2,1,5,4,3]=>[1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0]=>1 [2,3,1,4,5]=>[2,3]=>[1,1,0,0,1,1,1,0,0,0]=>2 [2,3,1,5,4]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>2 [2,3,4,1,5]=>[3,2]=>[1,1,1,0,0,0,1,1,0,0]=>2 [2,3,4,5,1]=>[4,1]=>[1,1,1,1,0,0,0,0,1,0]=>2 [2,3,5,1,4]=>[3,2]=>[1,1,1,0,0,0,1,1,0,0]=>2 [2,3,5,4,1]=>[3,1,1]=>[1,1,1,0,0,0,1,0,1,0]=>1 [2,4,1,3,5]=>[2,3]=>[1,1,0,0,1,1,1,0,0,0]=>2 [2,4,1,5,3]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>2 [2,4,3,1,5]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>2 [2,4,3,5,1]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>2 [2,4,5,1,3]=>[3,2]=>[1,1,1,0,0,0,1,1,0,0]=>2 [2,4,5,3,1]=>[3,1,1]=>[1,1,1,0,0,0,1,0,1,0]=>1 [2,5,1,3,4]=>[2,3]=>[1,1,0,0,1,1,1,0,0,0]=>2 [2,5,1,4,3]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>2 [2,5,3,1,4]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>2 [2,5,3,4,1]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>2 [2,5,4,1,3]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>2 [2,5,4,3,1]=>[2,1,1,1]=>[1,1,0,0,1,0,1,0,1,0]=>1 [3,1,2,4,5]=>[1,4]=>[1,0,1,1,1,1,0,0,0,0]=>2 [3,1,2,5,4]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>1 [3,1,4,2,5]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>2 [3,1,4,5,2]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>1 [3,1,5,2,4]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>2 [3,1,5,4,2]=>[1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0]=>1 [3,2,1,4,5]=>[1,1,3]=>[1,0,1,0,1,1,1,0,0,0]=>1 [3,2,1,5,4]=>[1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0]=>1 [3,2,4,1,5]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>2 [3,2,4,5,1]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>1 [3,2,5,1,4]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>2 [3,2,5,4,1]=>[1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0]=>1 [3,4,1,2,5]=>[2,3]=>[1,1,0,0,1,1,1,0,0,0]=>2 [3,4,1,5,2]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>2 [3,4,2,1,5]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>2 [3,4,2,5,1]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>2 [3,4,5,1,2]=>[3,2]=>[1,1,1,0,0,0,1,1,0,0]=>2 [3,4,5,2,1]=>[3,1,1]=>[1,1,1,0,0,0,1,0,1,0]=>1 [3,5,1,2,4]=>[2,3]=>[1,1,0,0,1,1,1,0,0,0]=>2 [3,5,1,4,2]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>2 [3,5,2,1,4]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>2 [3,5,2,4,1]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>2 [3,5,4,1,2]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>2 [3,5,4,2,1]=>[2,1,1,1]=>[1,1,0,0,1,0,1,0,1,0]=>1 [4,1,2,3,5]=>[1,4]=>[1,0,1,1,1,1,0,0,0,0]=>2 [4,1,2,5,3]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>1 [4,1,3,2,5]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>2 [4,1,3,5,2]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>1 [4,1,5,2,3]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>2 [4,1,5,3,2]=>[1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0]=>1 [4,2,1,3,5]=>[1,1,3]=>[1,0,1,0,1,1,1,0,0,0]=>1 [4,2,1,5,3]=>[1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0]=>1 [4,2,3,1,5]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>2 [4,2,3,5,1]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>1 [4,2,5,1,3]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>2 [4,2,5,3,1]=>[1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0]=>1 [4,3,1,2,5]=>[1,1,3]=>[1,0,1,0,1,1,1,0,0,0]=>1 [4,3,1,5,2]=>[1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0]=>1 [4,3,2,1,5]=>[1,1,1,2]=>[1,0,1,0,1,0,1,1,0,0]=>1 [4,3,2,5,1]=>[1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0]=>1 [4,3,5,1,2]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>2 [4,3,5,2,1]=>[1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0]=>1 [4,5,1,2,3]=>[2,3]=>[1,1,0,0,1,1,1,0,0,0]=>2 [4,5,1,3,2]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>2 [4,5,2,1,3]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>2 [4,5,2,3,1]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>2 [4,5,3,1,2]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>2 [4,5,3,2,1]=>[2,1,1,1]=>[1,1,0,0,1,0,1,0,1,0]=>1 [5,1,2,3,4]=>[1,4]=>[1,0,1,1,1,1,0,0,0,0]=>2 [5,1,2,4,3]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>1 [5,1,3,2,4]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>2 [5,1,3,4,2]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>1 [5,1,4,2,3]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>2 [5,1,4,3,2]=>[1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0]=>1 [5,2,1,3,4]=>[1,1,3]=>[1,0,1,0,1,1,1,0,0,0]=>1 [5,2,1,4,3]=>[1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0]=>1 [5,2,3,1,4]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>2 [5,2,3,4,1]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>1 [5,2,4,1,3]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>2 [5,2,4,3,1]=>[1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0]=>1 [5,3,1,2,4]=>[1,1,3]=>[1,0,1,0,1,1,1,0,0,0]=>1 [5,3,1,4,2]=>[1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0]=>1 [5,3,2,1,4]=>[1,1,1,2]=>[1,0,1,0,1,0,1,1,0,0]=>1 [5,3,2,4,1]=>[1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0]=>1 [5,3,4,1,2]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>2 [5,3,4,2,1]=>[1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0]=>1 [5,4,1,2,3]=>[1,1,3]=>[1,0,1,0,1,1,1,0,0,0]=>1 [5,4,1,3,2]=>[1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0]=>1 [5,4,2,1,3]=>[1,1,1,2]=>[1,0,1,0,1,0,1,1,0,0]=>1 [5,4,2,3,1]=>[1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0]=>1 [5,4,3,1,2]=>[1,1,1,2]=>[1,0,1,0,1,0,1,1,0,0]=>1 [5,4,3,2,1]=>[1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0]=>0 [1,2,3,4,5,6]=>[6]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>3 [1,2,3,4,6,5]=>[5,1]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,2,3,5,4,6]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,2,3,5,6,4]=>[5,1]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,2,3,6,4,5]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,2,3,6,5,4]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,2,4,3,5,6]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,2,4,3,6,5]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,2,4,5,3,6]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,2,4,5,6,3]=>[5,1]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,2,4,6,3,5]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,2,4,6,5,3]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,2,5,3,4,6]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,2,5,3,6,4]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,2,5,4,3,6]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [1,2,5,4,6,3]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,2,5,6,3,4]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,2,5,6,4,3]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,2,6,3,4,5]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,2,6,3,5,4]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,2,6,4,3,5]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [1,2,6,4,5,3]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,2,6,5,3,4]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [1,2,6,5,4,3]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>1 [1,3,2,4,5,6]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,3,2,4,6,5]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,3,2,5,4,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,3,2,5,6,4]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,3,2,6,4,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,3,2,6,5,4]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,3,4,2,5,6]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,3,4,2,6,5]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,3,4,5,2,6]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,3,4,5,6,2]=>[5,1]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,3,4,6,2,5]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,3,4,6,5,2]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,3,5,2,4,6]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,3,5,2,6,4]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,3,5,4,2,6]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [1,3,5,4,6,2]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,3,5,6,2,4]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,3,5,6,4,2]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,3,6,2,4,5]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,3,6,2,5,4]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,3,6,4,2,5]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [1,3,6,4,5,2]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,3,6,5,2,4]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [1,3,6,5,4,2]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>1 [1,4,2,3,5,6]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,4,2,3,6,5]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,4,2,5,3,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,4,2,5,6,3]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,4,2,6,3,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,4,2,6,5,3]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,4,3,2,5,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [1,4,3,2,6,5]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,4,3,5,2,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,4,3,5,6,2]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,4,3,6,2,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,4,3,6,5,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,4,5,2,3,6]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,4,5,2,6,3]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,4,5,3,2,6]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [1,4,5,3,6,2]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,4,5,6,2,3]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,4,5,6,3,2]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,4,6,2,3,5]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,4,6,2,5,3]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,4,6,3,2,5]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [1,4,6,3,5,2]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,4,6,5,2,3]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [1,4,6,5,3,2]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>1 [1,5,2,3,4,6]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,5,2,3,6,4]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,5,2,4,3,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,5,2,4,6,3]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,5,2,6,3,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,5,2,6,4,3]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,5,3,2,4,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [1,5,3,2,6,4]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,5,3,4,2,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,5,3,4,6,2]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,5,3,6,2,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,5,3,6,4,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,5,4,2,3,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [1,5,4,2,6,3]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,5,4,3,2,6]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,5,4,3,6,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,5,4,6,2,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,5,4,6,3,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,5,6,2,3,4]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,5,6,2,4,3]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,5,6,3,2,4]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [1,5,6,3,4,2]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,5,6,4,2,3]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [1,5,6,4,3,2]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>1 [1,6,2,3,4,5]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,6,2,3,5,4]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,6,2,4,3,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,6,2,4,5,3]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,6,2,5,3,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,6,2,5,4,3]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,6,3,2,4,5]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [1,6,3,2,5,4]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,6,3,4,2,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,6,3,4,5,2]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,6,3,5,2,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,6,3,5,4,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,6,4,2,3,5]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [1,6,4,2,5,3]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,6,4,3,2,5]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,6,4,3,5,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,6,4,5,2,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,6,4,5,3,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,6,5,2,3,4]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [1,6,5,2,4,3]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,6,5,3,2,4]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,6,5,3,4,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,6,5,4,2,3]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,6,5,4,3,2]=>[2,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>1 [2,1,3,4,5,6]=>[1,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>2 [2,1,3,4,6,5]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,1,3,5,4,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [2,1,3,5,6,4]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,1,3,6,4,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [2,1,3,6,5,4]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [2,1,4,3,5,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [2,1,4,3,6,5]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [2,1,4,5,3,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [2,1,4,5,6,3]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,1,4,6,3,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [2,1,4,6,5,3]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [2,1,5,3,4,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [2,1,5,3,6,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [2,1,5,4,3,6]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [2,1,5,4,6,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [2,1,5,6,3,4]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [2,1,5,6,4,3]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [2,1,6,3,4,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [2,1,6,3,5,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [2,1,6,4,3,5]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [2,1,6,4,5,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [2,1,6,5,3,4]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [2,1,6,5,4,3]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>1 [2,3,1,4,5,6]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,3,1,4,6,5]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [2,3,1,5,4,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [2,3,1,5,6,4]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [2,3,1,6,4,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [2,3,1,6,5,4]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [2,3,4,1,5,6]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [2,3,4,1,6,5]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [2,3,4,5,1,6]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,3,4,5,6,1]=>[5,1]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,3,4,6,1,5]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,3,4,6,5,1]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,3,5,1,4,6]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [2,3,5,1,6,4]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [2,3,5,4,1,6]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [2,3,5,4,6,1]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [2,3,5,6,1,4]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,3,5,6,4,1]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,3,6,1,4,5]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [2,3,6,1,5,4]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [2,3,6,4,1,5]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [2,3,6,4,5,1]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [2,3,6,5,1,4]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [2,3,6,5,4,1]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>1 [2,4,1,3,5,6]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,4,1,3,6,5]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [2,4,1,5,3,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [2,4,1,5,6,3]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [2,4,1,6,3,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [2,4,1,6,5,3]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [2,4,3,1,5,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [2,4,3,1,6,5]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [2,4,3,5,1,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [2,4,3,5,6,1]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [2,4,3,6,1,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [2,4,3,6,5,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [2,4,5,1,3,6]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [2,4,5,1,6,3]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [2,4,5,3,1,6]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [2,4,5,3,6,1]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [2,4,5,6,1,3]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,4,5,6,3,1]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,4,6,1,3,5]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [2,4,6,1,5,3]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [2,4,6,3,1,5]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [2,4,6,3,5,1]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [2,4,6,5,1,3]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [2,4,6,5,3,1]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>1 [2,5,1,3,4,6]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,5,1,3,6,4]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [2,5,1,4,3,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [2,5,1,4,6,3]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [2,5,1,6,3,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [2,5,1,6,4,3]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [2,5,3,1,4,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [2,5,3,1,6,4]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [2,5,3,4,1,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [2,5,3,4,6,1]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [2,5,3,6,1,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [2,5,3,6,4,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [2,5,4,1,3,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [2,5,4,1,6,3]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [2,5,4,3,1,6]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>2 [2,5,4,3,6,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [2,5,4,6,1,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [2,5,4,6,3,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [2,5,6,1,3,4]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [2,5,6,1,4,3]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [2,5,6,3,1,4]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [2,5,6,3,4,1]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [2,5,6,4,1,3]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [2,5,6,4,3,1]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>1 [2,6,1,3,4,5]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,6,1,3,5,4]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [2,6,1,4,3,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [2,6,1,4,5,3]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [2,6,1,5,3,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [2,6,1,5,4,3]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [2,6,3,1,4,5]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [2,6,3,1,5,4]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [2,6,3,4,1,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [2,6,3,4,5,1]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [2,6,3,5,1,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [2,6,3,5,4,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [2,6,4,1,3,5]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [2,6,4,1,5,3]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [2,6,4,3,1,5]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>2 [2,6,4,3,5,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [2,6,4,5,1,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [2,6,4,5,3,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [2,6,5,1,3,4]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [2,6,5,1,4,3]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [2,6,5,3,1,4]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>2 [2,6,5,3,4,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [2,6,5,4,1,3]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>2 [2,6,5,4,3,1]=>[2,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>1 [3,1,2,4,5,6]=>[1,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>2 [3,1,2,4,6,5]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,1,2,5,4,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [3,1,2,5,6,4]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,1,2,6,4,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [3,1,2,6,5,4]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [3,1,4,2,5,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [3,1,4,2,6,5]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [3,1,4,5,2,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [3,1,4,5,6,2]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,1,4,6,2,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [3,1,4,6,5,2]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [3,1,5,2,4,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [3,1,5,2,6,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [3,1,5,4,2,6]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [3,1,5,4,6,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [3,1,5,6,2,4]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [3,1,5,6,4,2]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [3,1,6,2,4,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [3,1,6,2,5,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [3,1,6,4,2,5]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [3,1,6,4,5,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [3,1,6,5,2,4]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [3,1,6,5,4,2]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>1 [3,2,1,4,5,6]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>2 [3,2,1,4,6,5]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [3,2,1,5,4,6]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [3,2,1,5,6,4]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [3,2,1,6,4,5]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [3,2,1,6,5,4]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [3,2,4,1,5,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [3,2,4,1,6,5]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [3,2,4,5,1,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [3,2,4,5,6,1]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,2,4,6,1,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [3,2,4,6,5,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [3,2,5,1,4,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [3,2,5,1,6,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [3,2,5,4,1,6]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [3,2,5,4,6,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [3,2,5,6,1,4]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [3,2,5,6,4,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [3,2,6,1,4,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [3,2,6,1,5,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [3,2,6,4,1,5]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [3,2,6,4,5,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [3,2,6,5,1,4]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [3,2,6,5,4,1]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>1 [3,4,1,2,5,6]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,4,1,2,6,5]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [3,4,1,5,2,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [3,4,1,5,6,2]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [3,4,1,6,2,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [3,4,1,6,5,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [3,4,2,1,5,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [3,4,2,1,6,5]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [3,4,2,5,1,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [3,4,2,5,6,1]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [3,4,2,6,1,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [3,4,2,6,5,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [3,4,5,1,2,6]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [3,4,5,1,6,2]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [3,4,5,2,1,6]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [3,4,5,2,6,1]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [3,4,5,6,1,2]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,4,5,6,2,1]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,4,6,1,2,5]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [3,4,6,1,5,2]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [3,4,6,2,1,5]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [3,4,6,2,5,1]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [3,4,6,5,1,2]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [3,4,6,5,2,1]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>1 [3,5,1,2,4,6]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,5,1,2,6,4]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [3,5,1,4,2,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [3,5,1,4,6,2]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [3,5,1,6,2,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [3,5,1,6,4,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [3,5,2,1,4,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [3,5,2,1,6,4]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [3,5,2,4,1,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [3,5,2,4,6,1]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [3,5,2,6,1,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [3,5,2,6,4,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [3,5,4,1,2,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [3,5,4,1,6,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [3,5,4,2,1,6]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>2 [3,5,4,2,6,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [3,5,4,6,1,2]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [3,5,4,6,2,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [3,5,6,1,2,4]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [3,5,6,1,4,2]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [3,5,6,2,1,4]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [3,5,6,2,4,1]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [3,5,6,4,1,2]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [3,5,6,4,2,1]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>1 [3,6,1,2,4,5]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,6,1,2,5,4]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [3,6,1,4,2,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [3,6,1,4,5,2]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [3,6,1,5,2,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [3,6,1,5,4,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [3,6,2,1,4,5]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [3,6,2,1,5,4]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [3,6,2,4,1,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [3,6,2,4,5,1]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [3,6,2,5,1,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [3,6,2,5,4,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [3,6,4,1,2,5]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [3,6,4,1,5,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [3,6,4,2,1,5]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>2 [3,6,4,2,5,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [3,6,4,5,1,2]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [3,6,4,5,2,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [3,6,5,1,2,4]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [3,6,5,1,4,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [3,6,5,2,1,4]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>2 [3,6,5,2,4,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [3,6,5,4,1,2]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>2 [3,6,5,4,2,1]=>[2,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>1 [4,1,2,3,5,6]=>[1,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>2 [4,1,2,3,6,5]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,1,2,5,3,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [4,1,2,5,6,3]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,1,2,6,3,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [4,1,2,6,5,3]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [4,1,3,2,5,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [4,1,3,2,6,5]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [4,1,3,5,2,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [4,1,3,5,6,2]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,1,3,6,2,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [4,1,3,6,5,2]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [4,1,5,2,3,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [4,1,5,2,6,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [4,1,5,3,2,6]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [4,1,5,3,6,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [4,1,5,6,2,3]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [4,1,5,6,3,2]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [4,1,6,2,3,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [4,1,6,2,5,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [4,1,6,3,2,5]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [4,1,6,3,5,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [4,1,6,5,2,3]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [4,1,6,5,3,2]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>1 [4,2,1,3,5,6]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>2 [4,2,1,3,6,5]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [4,2,1,5,3,6]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [4,2,1,5,6,3]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [4,2,1,6,3,5]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [4,2,1,6,5,3]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [4,2,3,1,5,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [4,2,3,1,6,5]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [4,2,3,5,1,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [4,2,3,5,6,1]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,2,3,6,1,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [4,2,3,6,5,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [4,2,5,1,3,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [4,2,5,1,6,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [4,2,5,3,1,6]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [4,2,5,3,6,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [4,2,5,6,1,3]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [4,2,5,6,3,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [4,2,6,1,3,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [4,2,6,1,5,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [4,2,6,3,1,5]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [4,2,6,3,5,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [4,2,6,5,1,3]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [4,2,6,5,3,1]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>1 [4,3,1,2,5,6]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>2 [4,3,1,2,6,5]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [4,3,1,5,2,6]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [4,3,1,5,6,2]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [4,3,1,6,2,5]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [4,3,1,6,5,2]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [4,3,2,1,5,6]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [4,3,2,1,6,5]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>1 [4,3,2,5,1,6]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [4,3,2,5,6,1]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [4,3,2,6,1,5]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [4,3,2,6,5,1]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [4,3,5,1,2,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [4,3,5,1,6,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [4,3,5,2,1,6]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [4,3,5,2,6,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [4,3,5,6,1,2]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [4,3,5,6,2,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [4,3,6,1,2,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [4,3,6,1,5,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [4,3,6,2,1,5]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [4,3,6,2,5,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [4,3,6,5,1,2]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [4,3,6,5,2,1]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>1 [4,5,1,2,3,6]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,5,1,2,6,3]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [4,5,1,3,2,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [4,5,1,3,6,2]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [4,5,1,6,2,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [4,5,1,6,3,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [4,5,2,1,3,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [4,5,2,1,6,3]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [4,5,2,3,1,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [4,5,2,3,6,1]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [4,5,2,6,1,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [4,5,2,6,3,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [4,5,3,1,2,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [4,5,3,1,6,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [4,5,3,2,1,6]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>2 [4,5,3,2,6,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [4,5,3,6,1,2]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [4,5,3,6,2,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [4,5,6,1,2,3]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [4,5,6,1,3,2]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [4,5,6,2,1,3]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [4,5,6,2,3,1]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [4,5,6,3,1,2]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [4,5,6,3,2,1]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>1 [4,6,1,2,3,5]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,6,1,2,5,3]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [4,6,1,3,2,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [4,6,1,3,5,2]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [4,6,1,5,2,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [4,6,1,5,3,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [4,6,2,1,3,5]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [4,6,2,1,5,3]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [4,6,2,3,1,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [4,6,2,3,5,1]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [4,6,2,5,1,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [4,6,2,5,3,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [4,6,3,1,2,5]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [4,6,3,1,5,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [4,6,3,2,1,5]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>2 [4,6,3,2,5,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [4,6,3,5,1,2]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [4,6,3,5,2,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [4,6,5,1,2,3]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [4,6,5,1,3,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [4,6,5,2,1,3]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>2 [4,6,5,2,3,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [4,6,5,3,1,2]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>2 [4,6,5,3,2,1]=>[2,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>1 [5,1,2,3,4,6]=>[1,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>2 [5,1,2,3,6,4]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,1,2,4,3,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [5,1,2,4,6,3]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,1,2,6,3,4]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [5,1,2,6,4,3]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [5,1,3,2,4,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [5,1,3,2,6,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [5,1,3,4,2,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [5,1,3,4,6,2]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,1,3,6,2,4]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [5,1,3,6,4,2]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [5,1,4,2,3,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [5,1,4,2,6,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [5,1,4,3,2,6]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [5,1,4,3,6,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [5,1,4,6,2,3]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [5,1,4,6,3,2]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [5,1,6,2,3,4]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [5,1,6,2,4,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [5,1,6,3,2,4]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [5,1,6,3,4,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [5,1,6,4,2,3]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [5,1,6,4,3,2]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>1 [5,2,1,3,4,6]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>2 [5,2,1,3,6,4]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [5,2,1,4,3,6]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [5,2,1,4,6,3]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [5,2,1,6,3,4]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [5,2,1,6,4,3]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [5,2,3,1,4,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [5,2,3,1,6,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [5,2,3,4,1,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [5,2,3,4,6,1]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,2,3,6,1,4]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [5,2,3,6,4,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [5,2,4,1,3,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [5,2,4,1,6,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [5,2,4,3,1,6]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [5,2,4,3,6,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [5,2,4,6,1,3]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [5,2,4,6,3,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [5,2,6,1,3,4]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [5,2,6,1,4,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [5,2,6,3,1,4]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [5,2,6,3,4,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [5,2,6,4,1,3]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [5,2,6,4,3,1]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>1 [5,3,1,2,4,6]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>2 [5,3,1,2,6,4]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [5,3,1,4,2,6]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [5,3,1,4,6,2]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [5,3,1,6,2,4]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [5,3,1,6,4,2]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [5,3,2,1,4,6]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [5,3,2,1,6,4]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>1 [5,3,2,4,1,6]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [5,3,2,4,6,1]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [5,3,2,6,1,4]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [5,3,2,6,4,1]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [5,3,4,1,2,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [5,3,4,1,6,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [5,3,4,2,1,6]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [5,3,4,2,6,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [5,3,4,6,1,2]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [5,3,4,6,2,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [5,3,6,1,2,4]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [5,3,6,1,4,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [5,3,6,2,1,4]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [5,3,6,2,4,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [5,3,6,4,1,2]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [5,3,6,4,2,1]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>1 [5,4,1,2,3,6]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>2 [5,4,1,2,6,3]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [5,4,1,3,2,6]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [5,4,1,3,6,2]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [5,4,1,6,2,3]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [5,4,1,6,3,2]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [5,4,2,1,3,6]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [5,4,2,1,6,3]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>1 [5,4,2,3,1,6]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [5,4,2,3,6,1]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [5,4,2,6,1,3]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [5,4,2,6,3,1]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [5,4,3,1,2,6]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [5,4,3,1,6,2]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>1 [5,4,3,2,1,6]=>[1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>1 [5,4,3,2,6,1]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>1 [5,4,3,6,1,2]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [5,4,3,6,2,1]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [5,4,6,1,2,3]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [5,4,6,1,3,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [5,4,6,2,1,3]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [5,4,6,2,3,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [5,4,6,3,1,2]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [5,4,6,3,2,1]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>1 [5,6,1,2,3,4]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,1,2,4,3]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [5,6,1,3,2,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [5,6,1,3,4,2]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [5,6,1,4,2,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [5,6,1,4,3,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [5,6,2,1,3,4]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [5,6,2,1,4,3]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [5,6,2,3,1,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [5,6,2,3,4,1]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [5,6,2,4,1,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [5,6,2,4,3,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [5,6,3,1,2,4]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [5,6,3,1,4,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [5,6,3,2,1,4]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>2 [5,6,3,2,4,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [5,6,3,4,1,2]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>3 [5,6,3,4,2,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>2 [5,6,4,1,2,3]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [5,6,4,1,3,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [5,6,4,2,1,3]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>2 [5,6,4,2,3,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>2 [5,6,4,3,1,2]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>2 [5,6,4,3,2,1]=>[2,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>1 [6,1,2,3,4,5]=>[1,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>2 [6,1,2,3,5,4]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [6,1,2,4,3,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [6,1,2,4,5,3]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [6,1,2,5,3,4]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [6,1,2,5,4,3]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [6,1,3,2,4,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [6,1,3,2,5,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [6,1,3,4,2,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [6,1,3,4,5,2]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [6,1,3,5,2,4]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [6,1,3,5,4,2]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [6,1,4,2,3,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [6,1,4,2,5,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [6,1,4,3,2,5]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [6,1,4,3,5,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [6,1,4,5,2,3]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [6,1,4,5,3,2]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [6,1,5,2,3,4]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [6,1,5,2,4,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [6,1,5,3,2,4]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [6,1,5,3,4,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [6,1,5,4,2,3]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [6,1,5,4,3,2]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>1 [6,2,1,3,4,5]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>2 [6,2,1,3,5,4]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [6,2,1,4,3,5]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [6,2,1,4,5,3]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [6,2,1,5,3,4]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [6,2,1,5,4,3]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [6,2,3,1,4,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [6,2,3,1,5,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [6,2,3,4,1,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [6,2,3,4,5,1]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [6,2,3,5,1,4]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [6,2,3,5,4,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [6,2,4,1,3,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [6,2,4,1,5,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [6,2,4,3,1,5]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [6,2,4,3,5,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [6,2,4,5,1,3]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [6,2,4,5,3,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [6,2,5,1,3,4]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [6,2,5,1,4,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [6,2,5,3,1,4]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [6,2,5,3,4,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [6,2,5,4,1,3]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [6,2,5,4,3,1]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>1 [6,3,1,2,4,5]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>2 [6,3,1,2,5,4]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [6,3,1,4,2,5]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [6,3,1,4,5,2]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [6,3,1,5,2,4]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [6,3,1,5,4,2]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [6,3,2,1,4,5]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [6,3,2,1,5,4]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>1 [6,3,2,4,1,5]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [6,3,2,4,5,1]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [6,3,2,5,1,4]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [6,3,2,5,4,1]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [6,3,4,1,2,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [6,3,4,1,5,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [6,3,4,2,1,5]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [6,3,4,2,5,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [6,3,4,5,1,2]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [6,3,4,5,2,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [6,3,5,1,2,4]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [6,3,5,1,4,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [6,3,5,2,1,4]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [6,3,5,2,4,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [6,3,5,4,1,2]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [6,3,5,4,2,1]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>1 [6,4,1,2,3,5]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>2 [6,4,1,2,5,3]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [6,4,1,3,2,5]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [6,4,1,3,5,2]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [6,4,1,5,2,3]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [6,4,1,5,3,2]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [6,4,2,1,3,5]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [6,4,2,1,5,3]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>1 [6,4,2,3,1,5]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [6,4,2,3,5,1]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [6,4,2,5,1,3]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [6,4,2,5,3,1]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [6,4,3,1,2,5]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [6,4,3,1,5,2]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>1 [6,4,3,2,1,5]=>[1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>1 [6,4,3,2,5,1]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>1 [6,4,3,5,1,2]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [6,4,3,5,2,1]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [6,4,5,1,2,3]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [6,4,5,1,3,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [6,4,5,2,1,3]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [6,4,5,2,3,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>2 [6,4,5,3,1,2]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>2 [6,4,5,3,2,1]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>1 [6,5,1,2,3,4]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>2 [6,5,1,2,4,3]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [6,5,1,3,2,4]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [6,5,1,3,4,2]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [6,5,1,4,2,3]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [6,5,1,4,3,2]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [6,5,2,1,3,4]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [6,5,2,1,4,3]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>1 [6,5,2,3,1,4]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [6,5,2,3,4,1]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [6,5,2,4,1,3]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [6,5,2,4,3,1]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [6,5,3,1,2,4]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [6,5,3,1,4,2]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>1 [6,5,3,2,1,4]=>[1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>1 [6,5,3,2,4,1]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>1 [6,5,3,4,1,2]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>2 [6,5,3,4,2,1]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [6,5,4,1,2,3]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [6,5,4,1,3,2]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>1 [6,5,4,2,1,3]=>[1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>1 [6,5,4,2,3,1]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>1 [6,5,4,3,1,2]=>[1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>1 [6,5,4,3,2,1]=>[1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>0
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Description
For a Nakayama algebra corresponding to a Dyck path, we define the matrix C with entries the Hom-spaces between $e_i J$ and $e_j J$ (the radical of the indecomposable projective modules).
The statistic gives half of the rank of the matrix C^t-C.
Map
bounce path
Description
The bounce path determined by an integer composition.
Map
descent composition
Description
The descent composition of a permutation.
The descent composition of a permutation $\pi$ of length $n$ is the integer composition of $n$ whose descent set equals the descent set of $\pi$. The descent set of a permutation $\pi$ is $\{i \mid 1 \leq i < n, \pi(i) > \pi(i+1)\}$. The descent set of a composition $c = (i_1, i_2, \ldots, i_k)$ is the set $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.