Identifier
Values
=>
Cc0005;cc-rep-0
[1,0]=>[1]=>0 [1,0,1,0]=>[1,2]=>0 [1,1,0,0]=>[2,1]=>1 [1,0,1,0,1,0]=>[1,2,3]=>0 [1,0,1,1,0,0]=>[1,3,2]=>1 [1,1,0,0,1,0]=>[2,1,3]=>1 [1,1,0,1,0,0]=>[2,3,1]=>0 [1,1,1,0,0,0]=>[3,2,1]=>0 [1,0,1,0,1,0,1,0]=>[1,2,3,4]=>0 [1,0,1,0,1,1,0,0]=>[1,2,4,3]=>1 [1,0,1,1,0,0,1,0]=>[1,3,2,4]=>1 [1,0,1,1,0,1,0,0]=>[1,3,4,2]=>0 [1,0,1,1,1,0,0,0]=>[1,4,3,2]=>0 [1,1,0,0,1,0,1,0]=>[2,1,3,4]=>1 [1,1,0,0,1,1,0,0]=>[2,1,4,3]=>2 [1,1,0,1,0,0,1,0]=>[2,3,1,4]=>0 [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>0 [1,1,0,1,1,0,0,0]=>[2,4,3,1]=>0 [1,1,1,0,0,0,1,0]=>[3,2,1,4]=>0 [1,1,1,0,0,1,0,0]=>[3,2,4,1]=>0 [1,1,1,0,1,0,0,0]=>[4,2,3,1]=>0 [1,1,1,1,0,0,0,0]=>[4,3,2,1]=>1 [1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>0 [1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>1 [1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>1 [1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>0 [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,4,3]=>0 [1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>1 [1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>2 [1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>0 [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>0 [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,4,2]=>0 [1,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,5]=>0 [1,0,1,1,1,0,0,1,0,0]=>[1,4,3,5,2]=>0 [1,0,1,1,1,0,1,0,0,0]=>[1,5,3,4,2]=>0 [1,0,1,1,1,1,0,0,0,0]=>[1,5,4,3,2]=>1 [1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>1 [1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>2 [1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>2 [1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>1 [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,4,3]=>1 [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>0 [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>1 [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>0 [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>0 [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,4,1]=>0 [1,1,0,1,1,0,0,0,1,0]=>[2,4,3,1,5]=>0 [1,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,1]=>0 [1,1,0,1,1,0,1,0,0,0]=>[2,5,3,4,1]=>0 [1,1,0,1,1,1,0,0,0,0]=>[2,5,4,3,1]=>1 [1,1,1,0,0,0,1,0,1,0]=>[3,2,1,4,5]=>0 [1,1,1,0,0,0,1,1,0,0]=>[3,2,1,5,4]=>1 [1,1,1,0,0,1,0,0,1,0]=>[3,2,4,1,5]=>0 [1,1,1,0,0,1,0,1,0,0]=>[3,2,4,5,1]=>0 [1,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,1]=>0 [1,1,1,0,1,0,0,0,1,0]=>[4,2,3,1,5]=>0 [1,1,1,0,1,0,0,1,0,0]=>[4,2,3,5,1]=>0 [1,1,1,0,1,0,1,0,0,0]=>[5,2,3,4,1]=>0 [1,1,1,0,1,1,0,0,0,0]=>[5,2,4,3,1]=>1 [1,1,1,1,0,0,0,0,1,0]=>[4,3,2,1,5]=>1 [1,1,1,1,0,0,0,1,0,0]=>[4,3,2,5,1]=>1 [1,1,1,1,0,0,1,0,0,0]=>[5,3,2,4,1]=>1 [1,1,1,1,0,1,0,0,0,0]=>[5,3,4,2,1]=>0 [1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1]=>0 [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]=>0 [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>1 [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]=>1 [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>0 [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,5,4]=>0 [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]=>1 [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>2 [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]=>0 [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>0 [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,5,3]=>0 [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,4,3,6]=>0 [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,4,6,3]=>0 [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,6,4,5,3]=>0 [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,5,4,3]=>1 [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]=>1 [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>2 [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]=>2 [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>1 [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,5,4]=>1 [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>0 [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>1 [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>0 [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>0 [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,5,2]=>0 [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,4,2,6]=>0 [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,4,6,2]=>0 [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,6,4,5,2]=>0 [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,5,4,2]=>1 [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,3,2,5,6]=>0 [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,3,2,6,5]=>1 [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,3,5,2,6]=>0 [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,3,5,6,2]=>0 [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,2]=>0 [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,5,3,4,2,6]=>0 [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,5,3,4,6,2]=>0 [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,6,3,4,5,2]=>0 [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,6,3,5,4,2]=>1 [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,4,3,2,6]=>1 [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,4,3,6,2]=>1 [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,6,4,3,5,2]=>1 [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,6,4,5,3,2]=>0 [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,5,4,3,2]=>0 [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]=>1 [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>2 [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]=>2 [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>1 [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,5,4]=>1 [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>2 [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>3 [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>1 [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>1 [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3]=>1 [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,4,3,6]=>1 [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3]=>1 [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,6,4,5,3]=>1 [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3]=>2 [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>0 [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>1 [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>1 [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>0 [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,5,4]=>0 [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>0 [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>1 [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>0 [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>0 [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,5,1]=>0 [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,4,1,6]=>0 [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,4,6,1]=>0 [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,6,4,5,1]=>0 [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,5,4,1]=>1 [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,1,5,6]=>0 [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,5]=>1 [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,5,1,6]=>0 [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,5,6,1]=>0 [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,1]=>0 [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,5,3,4,1,6]=>0 [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,5,3,4,6,1]=>0 [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,6,3,4,5,1]=>0 [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,6,3,5,4,1]=>1 [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,4,3,1,6]=>1 [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,4,3,6,1]=>1 [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,6,4,3,5,1]=>1 [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,6,4,5,3,1]=>0 [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,5,4,3,1]=>0 [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,4,5,6]=>0 [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,4,6,5]=>1 [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,6]=>1 [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1,5,6,4]=>0 [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,1,6,5,4]=>0 [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,4,1,5,6]=>0 [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5]=>1 [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,4,5,1,6]=>0 [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,1]=>0 [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,4,6,5,1]=>0 [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,1,6]=>0 [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,6,1]=>0 [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,6,4,5,1]=>0 [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,6,5,4,1]=>1 [1,1,1,0,1,0,0,0,1,0,1,0]=>[4,2,3,1,5,6]=>0 [1,1,1,0,1,0,0,0,1,1,0,0]=>[4,2,3,1,6,5]=>1 [1,1,1,0,1,0,0,1,0,0,1,0]=>[4,2,3,5,1,6]=>0 [1,1,1,0,1,0,0,1,0,1,0,0]=>[4,2,3,5,6,1]=>0 [1,1,1,0,1,0,0,1,1,0,0,0]=>[4,2,3,6,5,1]=>0 [1,1,1,0,1,0,1,0,0,0,1,0]=>[5,2,3,4,1,6]=>0 [1,1,1,0,1,0,1,0,0,1,0,0]=>[5,2,3,4,6,1]=>0 [1,1,1,0,1,0,1,0,1,0,0,0]=>[6,2,3,4,5,1]=>0 [1,1,1,0,1,0,1,1,0,0,0,0]=>[6,2,3,5,4,1]=>1 [1,1,1,0,1,1,0,0,0,0,1,0]=>[5,2,4,3,1,6]=>1 [1,1,1,0,1,1,0,0,0,1,0,0]=>[5,2,4,3,6,1]=>1 [1,1,1,0,1,1,0,0,1,0,0,0]=>[6,2,4,3,5,1]=>1 [1,1,1,0,1,1,0,1,0,0,0,0]=>[6,2,4,5,3,1]=>0 [1,1,1,0,1,1,1,0,0,0,0,0]=>[6,2,5,4,3,1]=>0 [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,2,1,5,6]=>1 [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,6,5]=>2 [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,3,2,5,1,6]=>1 [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3,2,5,6,1]=>1 [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,3,2,6,5,1]=>1 [1,1,1,1,0,0,1,0,0,0,1,0]=>[5,3,2,4,1,6]=>1 [1,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,2,4,6,1]=>1 [1,1,1,1,0,0,1,0,1,0,0,0]=>[6,3,2,4,5,1]=>1 [1,1,1,1,0,0,1,1,0,0,0,0]=>[6,3,2,5,4,1]=>2 [1,1,1,1,0,1,0,0,0,0,1,0]=>[5,3,4,2,1,6]=>0 [1,1,1,1,0,1,0,0,0,1,0,0]=>[5,3,4,2,6,1]=>0 [1,1,1,1,0,1,0,0,1,0,0,0]=>[6,3,4,2,5,1]=>0 [1,1,1,1,0,1,0,1,0,0,0,0]=>[6,3,4,5,2,1]=>0 [1,1,1,1,0,1,1,0,0,0,0,0]=>[6,3,5,4,2,1]=>0 [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,4,3,2,1,6]=>0 [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,4,3,2,6,1]=>0 [1,1,1,1,1,0,0,0,1,0,0,0]=>[6,4,3,2,5,1]=>0 [1,1,1,1,1,0,0,1,0,0,0,0]=>[6,4,3,5,2,1]=>0 [1,1,1,1,1,0,1,0,0,0,0,0]=>[6,5,3,4,2,1]=>0 [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,5,4,3,2,1]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7]=>0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,7,6]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,7]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]=>0 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,6,5]=>0 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,6,7]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]=>2 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]=>0 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>0 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,6,4]=>0 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,5,4,7]=>0 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,5,7,4]=>0 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,7,5,6,4]=>0 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,6,5,4]=>1 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7]=>1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]=>2 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]=>2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]=>1 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,6,5]=>1 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>0 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>1 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>0 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>0 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,6,3]=>0 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,5,3,7]=>0 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,5,7,3]=>0 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,7,5,6,3]=>0 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,6,5,3]=>1 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,4,3,6,7]=>0 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,4,3,7,6]=>1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,4,6,3,7]=>0 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,4,6,7,3]=>0 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,4,7,6,3]=>0 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,6,4,5,3,7]=>0 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,6,4,5,7,3]=>0 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,7,4,5,6,3]=>0 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,7,4,6,5,3]=>1 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,5,4,3,7]=>1 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,5,4,7,3]=>1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,7,5,4,6,3]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,7,5,6,4,3]=>0 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,6,5,4,3]=>0 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]=>2 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]=>2 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]=>1 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,6,5]=>1 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]=>3 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]=>1 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>1 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,6,4]=>1 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,5,4,7]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,5,7,4]=>1 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,7,5,6,4]=>1 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,6,5,4]=>2 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>0 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>1 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>1 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>0 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,6,5]=>0 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>0 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>1 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>0 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>0 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,6,2]=>0 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,5,2,7]=>0 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,5,7,2]=>0 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,7,5,6,2]=>0 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,6,5,2]=>1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,4,2,6,7]=>0 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,4,2,7,6]=>1 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,4,6,2,7]=>0 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,4,6,7,2]=>0 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,4,7,6,2]=>0 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,6,4,5,2,7]=>0 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,6,4,5,7,2]=>0 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,7,4,5,6,2]=>0 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,7,4,6,5,2]=>1 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,5,4,2,7]=>1 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,5,4,7,2]=>1 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,7,5,4,6,2]=>1 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,7,5,6,4,2]=>0 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,6,5,4,2]=>0 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7]=>0 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,3,2,5,7,6]=>1 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,3,2,6,5,7]=>1 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,3,2,6,7,5]=>0 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,3,2,7,6,5]=>0 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,3,5,2,6,7]=>0 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,3,5,2,7,6]=>1 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,2,7]=>0 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,2]=>0 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,3,5,7,6,2]=>0 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,3,6,5,2,7]=>0 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,3,6,5,7,2]=>0 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,3,7,5,6,2]=>0 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,3,7,6,5,2]=>1 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,7,3,5,6,4,2]=>0 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,7,3,6,5,4,2]=>0 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,7,4,3,6,5,2]=>2 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,7,4,5,3,6,2]=>0 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,7,4,5,6,3,2]=>0 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,7,4,6,5,3,2]=>0 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,5,4,3,7,2]=>0 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,7,5,4,3,6,2]=>0 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,7,5,4,6,3,2]=>0 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,7,6,4,5,3,2]=>0 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,6,5,4,3,2]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7]=>1 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,6,5,4,3]=>1 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>0 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>0 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>1 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>0 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>1 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]=>0 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,5,4,3,1,7]=>0 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7]=>0 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,1]=>0 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,1]=>0 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[5,2,3,4,6,7,1]=>0 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[6,2,3,4,5,7,1]=>0 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[6,2,4,5,3,1,7]=>0 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,2,5,4,3,1,7]=>0 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7]=>1 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,1]=>1 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[5,3,2,4,6,7,1]=>1 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[6,3,2,5,4,1,7]=>2 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[6,3,4,2,5,1,7]=>0 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[6,3,4,5,2,1,7]=>0 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,3,5,4,2,1,7]=>0 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,4,3,2,1,6,7]=>0 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,4,3,2,1,7,6]=>1 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,4,3,2,6,1,7]=>0 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,4,3,2,5,1,7]=>0 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,4,3,5,2,1,7]=>0 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,5,3,4,2,1,7]=>0 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,5,4,3,2,1,7]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,6,5,4,3,2,1]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,8,7]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,7,6,8]=>1 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,8]=>2 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,4]=>0 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,5,7,8]=>2 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,7,6,8]=>2 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,8]=>3 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,6,7,5,8]=>0 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,7,6,5,8]=>0 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,8,7,2]=>0 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,3,8,7,6,5,2]=>0 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,8,4,7,6,5,3,2]=>1 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,5,4,3,8,7,2]=>0 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,8,5,4,7,6,3,2]=>0 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,8,7,4,5,6,3,2]=>0 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,8,7,4,6,5,3,2]=>1 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,8,6,5,4,7,3,2]=>1 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,8,7,5,4,6,3,2]=>1 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,8,7,5,6,4,3,2]=>0 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,7,6,5,4,3,2]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,8,7]=>2 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7]=>4 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,7,5]=>2 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,8,5]=>2 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,7,6,5]=>3 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,4,5,8,6,7,3]=>1 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,7]=>2 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7]=>2 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,8,3]=>1 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,5,4,3,8,7]=>3 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,8,5,4,7,6,3]=>3 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,7,6,5,4,3]=>2 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>0 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,5]=>0 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8]=>0 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,1,7,8]=>0 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,1,8,7]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,1,8]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,1]=>0 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,8,5,6,7,1]=>0 [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,3,6,4,5,1,8,7]=>1 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,7,4,5,6,8,1]=>0 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,7]=>2 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,1,6,8,7,5]=>0 [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,3,1,7,6,8,5]=>0 [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,8,4,3,5,7,6,1]=>2 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8]=>0 [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,5,8,7,6]=>0 [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,2,1,6,5,8,7,4]=>0 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,2,1,8,7,6,5,4]=>0 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7]=>2 [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,2,4,1,6,8,7,5]=>0 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,8,5]=>0 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,1]=>0 [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,5,4,1,8,7,6]=>0 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,8,7]=>1 [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,7,6,1,8]=>0 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,8,1]=>0 [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,2,6,5,4,8,7,1]=>1 [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,2,7,6,5,4,1,8]=>0 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,2,3,1,8,6,7,5]=>0 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,8,1]=>0 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[5,2,3,4,6,7,8,1]=>0 [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[8,2,7,4,6,5,3,1]=>1 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8]=>1 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7]=>3 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,8,7,6,5]=>2 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,1]=>1 [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,3,2,7,5,6,8,1]=>1 [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,3,2,8,5,7,6,1]=>2 [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[6,3,2,5,4,1,8,7]=>3 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[8,3,2,5,4,7,6,1]=>3 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[8,3,2,7,6,5,4,1]=>2 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[8,3,7,4,6,5,2,1]=>1 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,3,6,5,4,2,1,8]=>1 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8]=>0 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,4,3,2,1,8,7,6]=>0 [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,4,3,2,7,6,1,8]=>0 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,4,3,6,5,2,1,8]=>0 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[7,6,3,4,5,2,1,8]=>0 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,6,3,5,4,2,1,8]=>1 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,5,4,3,2,1,7,8]=>1 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,5,4,3,2,1,8,7]=>2 [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[8,5,4,3,2,7,6,1]=>2 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,5,4,3,6,2,1,8]=>1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,6,4,3,5,2,1,8]=>1 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[8,7,4,3,6,5,2,1]=>2 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,6,4,5,3,2,1,8]=>0 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,6,5,4,3,2,1,8]=>0 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,6,5,4,3,2,8,1]=>0 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,7,6,5,4,3,2,1]=>1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,7,6,5,4,3,2,1,9]=>1 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,9,8,7,6,5,4,3,2]=>1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,8,7,6,5,4,3,2,1,10]=>0 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[8,7,6,4,5,3,2,1,9]=>0 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,9,8,7,5,6,4,3,2]=>0 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,10,9,8,7,6,5,4,3,2]=>0 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10,9,8,7,6,5,4,3,2,1,11]=>1 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[9,8,7,5,6,4,3,2,1,10]=>0 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[8,7,5,4,6,3,2,1,9]=>0 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[8,7,4,6,5,3,2,1,9]=>0 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,9,8,6,5,7,4,3,2]=>0 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,9,8,5,7,6,4,3,2]=>0 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,10,9,8,6,7,5,4,3,2]=>0 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,11,10,9,8,7,6,5,4,3,2]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,6,5,4,3,2,1,8,9]=>0 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,7,6,5,4,3,2,1,10,9]=>2 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,1,10,9,8,7,6,5,4,3]=>2 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[8,7,6,5,4,3,2,1,9,10]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,1]=>0 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,9,1]=>0 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,8,9,1]=>0 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9,8,7,6,5,4,3,2,1]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,9,8]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,10,9]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,9,11,10]=>1 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,9,10,1]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9]=>1 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9]=>0 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8,9]=>1 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8,9]=>0 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[6,5,4,3,2,1,7,8,9]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10]=>1 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9]=>5 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,6,5,10,9,8,7]=>4 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3,10,9,8,7]=>3 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[2,1,8,7,6,5,4,3,10,9]=>3 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9,10]=>0 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8,9,10]=>1 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7,10,9]=>4 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,6,5,10,9,8,7]=>3 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,8,7,6,5,10,9]=>3 [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,3,2,1,10,9,8,7,6,5]=>2 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8,9,10]=>0 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,2,1,7,8,9,10]=>1 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,5,4,3,2,1,10,9,8,7]=>2 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[7,6,5,4,3,2,1,8,9,10]=>0 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10,9,8,7,6,5,4,3,2,1]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,1,9]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,1,10]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10,11]=>1 [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[10,9,8,5,4,7,6,3,2,1]=>2 [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[10,5,4,3,2,9,8,7,6,1]=>2 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0]=>[10,7,6,5,4,3,2,9,8,1]=>2 [1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[10,3,2,9,8,7,6,5,4,1]=>2 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,3,2,1,10,7,6,9,8,5]=>3 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>6 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[10,3,2,5,4,7,6,9,8,1]=>4 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>2 [1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]=>[10,9,6,5,4,3,8,7,2,1]=>2 [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[6,3,2,5,4,1,8,7,10,9]=>4
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Description
The number of adjacent transpositions in the cycle decomposition of a permutation.
Map
to non-crossing permutation
Description
Sends a Dyck path $D$ with valley at positions $\{(i_1,j_1),\ldots,(i_k,j_k)\}$ to the unique non-crossing permutation $\pi$ having descents $\{i_1,\ldots,i_k\}$ and whose inverse has descents $\{j_1,\ldots,j_k\}$.
It sends the area St000012The area of a Dyck path. to the number of inversions St000018The number of inversions of a permutation. and the major index St000027The major index of a Dyck path. to $n(n-1)$ minus the sum of the major index St000004The major index of a permutation. and the inverse major index St000305The inverse major index of a permutation..