Identifier
Values
=>
Cc0005;cc-rep-0
[1,0]=>[1]=>0 [1,0,1,0]=>[2,1]=>0 [1,1,0,0]=>[1,2]=>0 [1,0,1,0,1,0]=>[3,2,1]=>1 [1,0,1,1,0,0]=>[2,3,1]=>0 [1,1,0,0,1,0]=>[3,1,2]=>0 [1,1,0,1,0,0]=>[2,1,3]=>0 [1,1,1,0,0,0]=>[1,2,3]=>0 [1,0,1,0,1,0,1,0]=>[4,3,2,1]=>2 [1,0,1,0,1,1,0,0]=>[3,4,2,1]=>1 [1,0,1,1,0,0,1,0]=>[4,2,3,1]=>0 [1,0,1,1,0,1,0,0]=>[3,2,4,1]=>0 [1,0,1,1,1,0,0,0]=>[2,3,4,1]=>0 [1,1,0,0,1,0,1,0]=>[4,3,1,2]=>1 [1,1,0,0,1,1,0,0]=>[3,4,1,2]=>0 [1,1,0,1,0,0,1,0]=>[4,2,1,3]=>1 [1,1,0,1,0,1,0,0]=>[3,2,1,4]=>1 [1,1,0,1,1,0,0,0]=>[2,3,1,4]=>0 [1,1,1,0,0,0,1,0]=>[4,1,2,3]=>0 [1,1,1,0,0,1,0,0]=>[3,1,2,4]=>0 [1,1,1,0,1,0,0,0]=>[2,1,3,4]=>0 [1,1,1,1,0,0,0,0]=>[1,2,3,4]=>0 [1,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1]=>3 [1,0,1,0,1,0,1,1,0,0]=>[4,5,3,2,1]=>2 [1,0,1,0,1,1,0,0,1,0]=>[5,3,4,2,1]=>1 [1,0,1,0,1,1,0,1,0,0]=>[4,3,5,2,1]=>1 [1,0,1,0,1,1,1,0,0,0]=>[3,4,5,2,1]=>1 [1,0,1,1,0,0,1,0,1,0]=>[5,4,2,3,1]=>1 [1,0,1,1,0,0,1,1,0,0]=>[4,5,2,3,1]=>0 [1,0,1,1,0,1,0,0,1,0]=>[5,3,2,4,1]=>1 [1,0,1,1,0,1,0,1,0,0]=>[4,3,2,5,1]=>1 [1,0,1,1,0,1,1,0,0,0]=>[3,4,2,5,1]=>0 [1,0,1,1,1,0,0,0,1,0]=>[5,2,3,4,1]=>0 [1,0,1,1,1,0,0,1,0,0]=>[4,2,3,5,1]=>0 [1,0,1,1,1,0,1,0,0,0]=>[3,2,4,5,1]=>0 [1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>0 [1,1,0,0,1,0,1,0,1,0]=>[5,4,3,1,2]=>2 [1,1,0,0,1,0,1,1,0,0]=>[4,5,3,1,2]=>1 [1,1,0,0,1,1,0,0,1,0]=>[5,3,4,1,2]=>0 [1,1,0,0,1,1,0,1,0,0]=>[4,3,5,1,2]=>0 [1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>0 [1,1,0,1,0,0,1,0,1,0]=>[5,4,2,1,3]=>2 [1,1,0,1,0,0,1,1,0,0]=>[4,5,2,1,3]=>1 [1,1,0,1,0,1,0,0,1,0]=>[5,3,2,1,4]=>2 [1,1,0,1,0,1,0,1,0,0]=>[4,3,2,1,5]=>2 [1,1,0,1,0,1,1,0,0,0]=>[3,4,2,1,5]=>1 [1,1,0,1,1,0,0,0,1,0]=>[5,2,3,1,4]=>0 [1,1,0,1,1,0,0,1,0,0]=>[4,2,3,1,5]=>0 [1,1,0,1,1,0,1,0,0,0]=>[3,2,4,1,5]=>0 [1,1,0,1,1,1,0,0,0,0]=>[2,3,4,1,5]=>0 [1,1,1,0,0,0,1,0,1,0]=>[5,4,1,2,3]=>1 [1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>0 [1,1,1,0,0,1,0,0,1,0]=>[5,3,1,2,4]=>1 [1,1,1,0,0,1,0,1,0,0]=>[4,3,1,2,5]=>1 [1,1,1,0,0,1,1,0,0,0]=>[3,4,1,2,5]=>0 [1,1,1,0,1,0,0,0,1,0]=>[5,2,1,3,4]=>1 [1,1,1,0,1,0,0,1,0,0]=>[4,2,1,3,5]=>1 [1,1,1,0,1,0,1,0,0,0]=>[3,2,1,4,5]=>1 [1,1,1,0,1,1,0,0,0,0]=>[2,3,1,4,5]=>0 [1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>0 [1,1,1,1,0,0,0,1,0,0]=>[4,1,2,3,5]=>0 [1,1,1,1,0,0,1,0,0,0]=>[3,1,2,4,5]=>0 [1,1,1,1,0,1,0,0,0,0]=>[2,1,3,4,5]=>0 [1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>0 [1,0,1,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,2,1]=>4 [1,0,1,0,1,0,1,0,1,1,0,0]=>[5,6,4,3,2,1]=>3 [1,0,1,0,1,0,1,1,0,0,1,0]=>[6,4,5,3,2,1]=>2 [1,0,1,0,1,0,1,1,0,1,0,0]=>[5,4,6,3,2,1]=>2 [1,0,1,0,1,0,1,1,1,0,0,0]=>[4,5,6,3,2,1]=>2 [1,0,1,0,1,1,0,0,1,0,1,0]=>[6,5,3,4,2,1]=>2 [1,0,1,0,1,1,0,0,1,1,0,0]=>[5,6,3,4,2,1]=>1 [1,0,1,0,1,1,0,1,0,0,1,0]=>[6,4,3,5,2,1]=>2 [1,0,1,0,1,1,0,1,0,1,0,0]=>[5,4,3,6,2,1]=>2 [1,0,1,0,1,1,0,1,1,0,0,0]=>[4,5,3,6,2,1]=>1 [1,0,1,0,1,1,1,0,0,0,1,0]=>[6,3,4,5,2,1]=>1 [1,0,1,0,1,1,1,0,0,1,0,0]=>[5,3,4,6,2,1]=>1 [1,0,1,0,1,1,1,0,1,0,0,0]=>[4,3,5,6,2,1]=>1 [1,0,1,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,2,1]=>1 [1,0,1,1,0,0,1,0,1,0,1,0]=>[6,5,4,2,3,1]=>2 [1,0,1,1,0,0,1,0,1,1,0,0]=>[5,6,4,2,3,1]=>1 [1,0,1,1,0,0,1,1,0,0,1,0]=>[6,4,5,2,3,1]=>0 [1,0,1,1,0,0,1,1,0,1,0,0]=>[5,4,6,2,3,1]=>0 [1,0,1,1,0,0,1,1,1,0,0,0]=>[4,5,6,2,3,1]=>0 [1,0,1,1,0,1,0,0,1,0,1,0]=>[6,5,3,2,4,1]=>2 [1,0,1,1,0,1,0,0,1,1,0,0]=>[5,6,3,2,4,1]=>1 [1,0,1,1,0,1,0,1,0,0,1,0]=>[6,4,3,2,5,1]=>2 [1,0,1,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,1]=>2 [1,0,1,1,0,1,0,1,1,0,0,0]=>[4,5,3,2,6,1]=>1 [1,0,1,1,0,1,1,0,0,0,1,0]=>[6,3,4,2,5,1]=>0 [1,0,1,1,0,1,1,0,0,1,0,0]=>[5,3,4,2,6,1]=>0 [1,0,1,1,0,1,1,0,1,0,0,0]=>[4,3,5,2,6,1]=>0 [1,0,1,1,0,1,1,1,0,0,0,0]=>[3,4,5,2,6,1]=>0 [1,0,1,1,1,0,0,0,1,0,1,0]=>[6,5,2,3,4,1]=>1 [1,0,1,1,1,0,0,0,1,1,0,0]=>[5,6,2,3,4,1]=>0 [1,0,1,1,1,0,0,1,0,0,1,0]=>[6,4,2,3,5,1]=>1 [1,0,1,1,1,0,0,1,0,1,0,0]=>[5,4,2,3,6,1]=>1 [1,0,1,1,1,0,0,1,1,0,0,0]=>[4,5,2,3,6,1]=>0 [1,0,1,1,1,0,1,0,0,0,1,0]=>[6,3,2,4,5,1]=>1 [1,0,1,1,1,0,1,0,0,1,0,0]=>[5,3,2,4,6,1]=>1 [1,0,1,1,1,0,1,0,1,0,0,0]=>[4,3,2,5,6,1]=>1 [1,0,1,1,1,0,1,1,0,0,0,0]=>[3,4,2,5,6,1]=>0 [1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,3,4,5,1]=>0 [1,0,1,1,1,1,0,0,0,1,0,0]=>[5,2,3,4,6,1]=>0 [1,0,1,1,1,1,0,0,1,0,0,0]=>[4,2,3,5,6,1]=>0 [1,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,4,5,6,1]=>0 [1,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,6,1]=>0 [1,1,0,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,1,2]=>3 [1,1,0,0,1,0,1,0,1,1,0,0]=>[5,6,4,3,1,2]=>2 [1,1,0,0,1,0,1,1,0,0,1,0]=>[6,4,5,3,1,2]=>1 [1,1,0,0,1,0,1,1,0,1,0,0]=>[5,4,6,3,1,2]=>1 [1,1,0,0,1,0,1,1,1,0,0,0]=>[4,5,6,3,1,2]=>1 [1,1,0,0,1,1,0,0,1,0,1,0]=>[6,5,3,4,1,2]=>1 [1,1,0,0,1,1,0,0,1,1,0,0]=>[5,6,3,4,1,2]=>0 [1,1,0,0,1,1,0,1,0,0,1,0]=>[6,4,3,5,1,2]=>1 [1,1,0,0,1,1,0,1,0,1,0,0]=>[5,4,3,6,1,2]=>1 [1,1,0,0,1,1,0,1,1,0,0,0]=>[4,5,3,6,1,2]=>0 [1,1,0,0,1,1,1,0,0,0,1,0]=>[6,3,4,5,1,2]=>0 [1,1,0,0,1,1,1,0,0,1,0,0]=>[5,3,4,6,1,2]=>0 [1,1,0,0,1,1,1,0,1,0,0,0]=>[4,3,5,6,1,2]=>0 [1,1,0,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,1,2]=>0 [1,1,0,1,0,0,1,0,1,0,1,0]=>[6,5,4,2,1,3]=>3 [1,1,0,1,0,0,1,0,1,1,0,0]=>[5,6,4,2,1,3]=>2 [1,1,0,1,0,0,1,1,0,0,1,0]=>[6,4,5,2,1,3]=>1 [1,1,0,1,0,0,1,1,0,1,0,0]=>[5,4,6,2,1,3]=>1 [1,1,0,1,0,0,1,1,1,0,0,0]=>[4,5,6,2,1,3]=>1 [1,1,0,1,0,1,0,0,1,0,1,0]=>[6,5,3,2,1,4]=>3 [1,1,0,1,0,1,0,0,1,1,0,0]=>[5,6,3,2,1,4]=>2 [1,1,0,1,0,1,0,1,0,0,1,0]=>[6,4,3,2,1,5]=>3 [1,1,0,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,1,6]=>3 [1,1,0,1,0,1,0,1,1,0,0,0]=>[4,5,3,2,1,6]=>2 [1,1,0,1,0,1,1,0,0,0,1,0]=>[6,3,4,2,1,5]=>1 [1,1,0,1,0,1,1,0,0,1,0,0]=>[5,3,4,2,1,6]=>1 [1,1,0,1,0,1,1,0,1,0,0,0]=>[4,3,5,2,1,6]=>1 [1,1,0,1,0,1,1,1,0,0,0,0]=>[3,4,5,2,1,6]=>1 [1,1,0,1,1,0,0,0,1,0,1,0]=>[6,5,2,3,1,4]=>1 [1,1,0,1,1,0,0,0,1,1,0,0]=>[5,6,2,3,1,4]=>0 [1,1,0,1,1,0,0,1,0,0,1,0]=>[6,4,2,3,1,5]=>1 [1,1,0,1,1,0,0,1,0,1,0,0]=>[5,4,2,3,1,6]=>1 [1,1,0,1,1,0,0,1,1,0,0,0]=>[4,5,2,3,1,6]=>0 [1,1,0,1,1,0,1,0,0,0,1,0]=>[6,3,2,4,1,5]=>1 [1,1,0,1,1,0,1,0,0,1,0,0]=>[5,3,2,4,1,6]=>1 [1,1,0,1,1,0,1,0,1,0,0,0]=>[4,3,2,5,1,6]=>1 [1,1,0,1,1,0,1,1,0,0,0,0]=>[3,4,2,5,1,6]=>0 [1,1,0,1,1,1,0,0,0,0,1,0]=>[6,2,3,4,1,5]=>0 [1,1,0,1,1,1,0,0,0,1,0,0]=>[5,2,3,4,1,6]=>0 [1,1,0,1,1,1,0,0,1,0,0,0]=>[4,2,3,5,1,6]=>0 [1,1,0,1,1,1,0,1,0,0,0,0]=>[3,2,4,5,1,6]=>0 [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,1,6]=>0 [1,1,1,0,0,0,1,0,1,0,1,0]=>[6,5,4,1,2,3]=>2 [1,1,1,0,0,0,1,0,1,1,0,0]=>[5,6,4,1,2,3]=>1 [1,1,1,0,0,0,1,1,0,0,1,0]=>[6,4,5,1,2,3]=>0 [1,1,1,0,0,0,1,1,0,1,0,0]=>[5,4,6,1,2,3]=>0 [1,1,1,0,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3]=>0 [1,1,1,0,0,1,0,0,1,0,1,0]=>[6,5,3,1,2,4]=>2 [1,1,1,0,0,1,0,0,1,1,0,0]=>[5,6,3,1,2,4]=>1 [1,1,1,0,0,1,0,1,0,0,1,0]=>[6,4,3,1,2,5]=>2 [1,1,1,0,0,1,0,1,0,1,0,0]=>[5,4,3,1,2,6]=>2 [1,1,1,0,0,1,0,1,1,0,0,0]=>[4,5,3,1,2,6]=>1 [1,1,1,0,0,1,1,0,0,0,1,0]=>[6,3,4,1,2,5]=>0 [1,1,1,0,0,1,1,0,0,1,0,0]=>[5,3,4,1,2,6]=>0 [1,1,1,0,0,1,1,0,1,0,0,0]=>[4,3,5,1,2,6]=>0 [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,4,5,1,2,6]=>0 [1,1,1,0,1,0,0,0,1,0,1,0]=>[6,5,2,1,3,4]=>2 [1,1,1,0,1,0,0,0,1,1,0,0]=>[5,6,2,1,3,4]=>1 [1,1,1,0,1,0,0,1,0,0,1,0]=>[6,4,2,1,3,5]=>2 [1,1,1,0,1,0,0,1,0,1,0,0]=>[5,4,2,1,3,6]=>2 [1,1,1,0,1,0,0,1,1,0,0,0]=>[4,5,2,1,3,6]=>1 [1,1,1,0,1,0,1,0,0,0,1,0]=>[6,3,2,1,4,5]=>2 [1,1,1,0,1,0,1,0,0,1,0,0]=>[5,3,2,1,4,6]=>2 [1,1,1,0,1,0,1,0,1,0,0,0]=>[4,3,2,1,5,6]=>2 [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,2,1,5,6]=>1 [1,1,1,0,1,1,0,0,0,0,1,0]=>[6,2,3,1,4,5]=>0 [1,1,1,0,1,1,0,0,0,1,0,0]=>[5,2,3,1,4,6]=>0 [1,1,1,0,1,1,0,0,1,0,0,0]=>[4,2,3,1,5,6]=>0 [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,4,1,5,6]=>0 [1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,4,1,5,6]=>0 [1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,2,3,4]=>1 [1,1,1,1,0,0,0,0,1,1,0,0]=>[5,6,1,2,3,4]=>0 [1,1,1,1,0,0,0,1,0,0,1,0]=>[6,4,1,2,3,5]=>1 [1,1,1,1,0,0,0,1,0,1,0,0]=>[5,4,1,2,3,6]=>1 [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,5,1,2,3,6]=>0 [1,1,1,1,0,0,1,0,0,0,1,0]=>[6,3,1,2,4,5]=>1 [1,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,1,2,4,6]=>1 [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,3,1,2,5,6]=>1 [1,1,1,1,0,0,1,1,0,0,0,0]=>[3,4,1,2,5,6]=>0 [1,1,1,1,0,1,0,0,0,0,1,0]=>[6,2,1,3,4,5]=>1 [1,1,1,1,0,1,0,0,0,1,0,0]=>[5,2,1,3,4,6]=>1 [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,3,5,6]=>1 [1,1,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,4,5,6]=>1 [1,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,1,4,5,6]=>0 [1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5]=>0 [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1,2,3,4,6]=>0 [1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,2,3,5,6]=>0 [1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,2,4,5,6]=>0 [1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,3,4,5,6]=>0 [1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,5,6]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,3,2,1]=>5 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,2,7,1]=>0 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,6,7,1]=>0 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,6,7,1]=>0 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,6,7,1]=>0 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,6,7,1]=>1 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,6,7,1]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,6,7,1]=>0 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,5,7,1]=>0 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,6,7,1]=>0 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,6,7,1]=>0 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,6,7,1]=>0 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,3,1,2]=>4 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,4,1,2]=>2 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,4,1,2]=>0 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,4,1,2]=>0 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,7,1,2]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,1,7]=>4 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,2,1,7]=>3 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,2,1,7]=>2 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,2,1,7]=>2 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,2,1,7]=>2 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,2,1,7]=>2 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,2,1,7]=>2 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,2,1,7]=>1 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,2,1,7]=>1 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,5,1,7]=>2 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,6,1,7]=>2 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,5,1,7]=>0 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,5,1,6]=>0 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,1,7]=>0 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,1,2,3]=>3 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,1,2,3]=>1 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,1,2,3]=>0 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,1,2,3]=>0 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,1,2,3]=>0 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,1,2,3]=>0 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,1,2,5]=>0 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,1,2,7]=>0 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,1,6,7]=>3 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,1,5,6]=>1 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,1,5,6]=>0 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,1,6,7]=>0 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[7,6,5,1,2,3,4]=>2 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[7,5,6,1,2,3,4]=>0 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,6,7,1,2,3,4]=>0 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,5,6,1,2,3,7]=>0 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,4,1,2,5,6]=>0 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[7,4,2,1,3,5,6]=>2 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[7,3,2,1,4,5,6]=>2 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,3,2,1,5,6,7]=>2 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,3,1,4,5,6]=>0 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,4,1,5,6,7]=>0 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,2,3,4,5]=>1 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,7,1,2,3,4,5]=>0 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[7,5,1,2,3,4,6]=>1 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,6,1,2,3,4,7]=>0 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,4,1,2,3,5,6]=>1 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,1,2,4,5,6]=>1 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,4,1,2,5,6,7]=>0 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,3,4,5,6]=>1 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,4,5,6,7]=>1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,3,1,4,5,6,7]=>0 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6]=>0 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1,2,3,4,5,7]=>0 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,2,3,4,6,7]=>0 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,2,3,5,6,7]=>0 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,2,4,5,6,7]=>0 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,3,4,5,6,7]=>0 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,3,2,1]=>6 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,3,2,1]=>4 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,3,2,1]=>3 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,5,3,2,1]=>3 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,3,2,1]=>2 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,3,2,1]=>4 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,3,2,1]=>2 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,4,2,1]=>3 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,4,2,1]=>2 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,4,2,1]=>2 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,5,2,1]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,2,3,1]=>3 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,2,3,1]=>2 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,2,3,1]=>2 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,2,3,1]=>2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,2,4,1]=>2 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,8,1]=>4 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,2,8,1]=>2 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,2,8,1]=>2 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,7,2,8,1]=>0 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,3,4,1]=>1 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,2,3,4,1]=>0 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,4,5,6,1]=>1 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,6,7,8,1]=>0 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,5,6,7,8,1]=>1 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,6,7,8,1]=>0 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,4,6,7,8,1]=>0 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,5,6,7,8,1]=>0 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,5,6,7,8,1]=>0 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,3,1,2]=>5 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,3,1,2]=>4 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,3,1,2]=>3 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,3,1,2]=>3 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,3,1,2]=>3 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,4,1,2]=>3 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,4,1,2]=>1 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,4,1,2]=>0 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,4,1,2]=>0 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,6,1,2]=>0 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,2]=>0 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,2,1,3]=>5 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,2,1,3]=>3 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,2,1,4]=>3 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,2,1,5]=>5 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,2,1,7]=>5 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,1,8]=>5 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,3,2,1,8]=>4 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,2,1,8]=>3 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,2,1,8]=>3 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,3,2,1,8]=>3 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,2,1,8]=>3 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,2,1,8]=>1 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,2,1,8]=>3 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,6,2,1,8]=>3 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,5,2,1,8]=>2 [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,2,3,1,4]=>0 [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,2,3,1,8]=>2 [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,2,4,1,8]=>1 [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,3,4,1,8]=>0 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8]=>0 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,1,2,3]=>4 [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,1,2,3]=>2 [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,1,2,3]=>1 [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,1,2,3]=>2 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,1,2,3]=>0 [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,1,2,3]=>1 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,1,2,3]=>0 [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,8,1,2,3]=>0 [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,1,2,4]=>1 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,1,2,7]=>4 [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,1,2,7]=>0 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,2,1,3,4]=>1 [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,2,1,3,5]=>4 [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,2,1,3,6]=>3 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,2,1,3,7]=>4 [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,2,1,5,7]=>4 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,2,1,7,8]=>4 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,1,7,8]=>0 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,1,2,3,4]=>3 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,1,2,3,4]=>1 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,1,2,3,4]=>0 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,1,2,3,4]=>0 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>0 [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,1,2,3,6]=>2 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,1,2,7,8]=>0 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,1,3,5,7]=>3 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,1,6,7,8]=>3 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,1,5,6,7]=>0 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,1,6,7,8]=>0 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,1,2,3,4,5]=>2 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[8,6,7,1,2,3,4,5]=>0 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,1,2,3,4,5]=>0 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,1,2,3,4,8]=>0 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[4,5,6,1,2,3,7,8]=>0 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,1,4,5,6,7]=>2 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,1,5,6,7,8]=>2 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,1,4,5,6,7]=>0 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[8,7,1,2,3,4,5,6]=>1 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[7,8,1,2,3,4,5,6]=>0 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,7,1,2,3,4,5,8]=>0 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[8,4,1,2,3,5,6,7]=>1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[8,3,1,2,4,5,6,7]=>1 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8]=>0 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[8,2,1,3,4,5,6,7]=>1 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7]=>0 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1,2,3,4,5,6,8]=>0 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[6,1,2,3,4,5,7,8]=>0 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[5,1,2,3,4,6,7,8]=>0 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8]=>0 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8]=>0 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,8]=>0 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1]=>0 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[10,1,2,3,4,5,6,7,8,9]=>0 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[9,2,1,3,4,5,6,7,8]=>1 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[3,2,4,5,6,7,8,9,1]=>0 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>0 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[11,1,2,3,4,5,6,7,8,9,10]=>0 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,1,3,4,5,6,7,8,9]=>1 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[9,3,1,2,4,5,6,7,8]=>1 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,1,4,5,6,7,8]=>0 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[4,2,3,5,6,7,8,9,1]=>0 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[3,4,2,5,6,7,8,9,1]=>0 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[3,2,4,5,6,7,8,9,10,1]=>0 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>0 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[8,9,1,2,3,4,5,6,7]=>0 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[9,8,1,2,3,4,5,6,7]=>1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[9,10,1,2,3,4,5,6,7,8]=>0 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[10,9,1,2,3,4,5,6,7,8]=>1 []=>[]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,2,1,9]=>6 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[7,8,6,5,4,3,2,1,9]=>5 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[7,6,8,5,4,3,2,1,9]=>4 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[8,7,6,4,5,3,2,1,9]=>4 [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[8,7,5,4,6,3,2,1,9]=>4 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1,9]=>0 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[7,8,5,6,3,4,1,2,9]=>0 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,6,5,4,3,2,1,8,9]=>5 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8,9]=>0 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[6,5,4,3,2,1,7,8,9]=>4 [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,1,2,3,4,9]=>0 [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[5,6,3,4,1,2,7,8,9]=>0 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,4,3,2,1,6,7,8,9]=>3 [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>[4,5,6,1,2,3,7,8,9]=>0 [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[4,3,2,1,5,6,7,8,9]=>2 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[7,8,1,2,3,4,5,6,9]=>0 [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8,9]=>0 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8,9]=>1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1,2,3,4,5,6,7,9]=>0 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[7,1,2,3,4,5,6,8,9]=>0 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9]=>0 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,3,2,1]=>7 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,3,2,1]=>8 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,2,1,10]=>7 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,9,8,7,6,5,4,3,2,1,11]=>8 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,3,1,2]=>6 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,3,4,1,2]=>4 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,6,3,4,1,2]=>2 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[9,7,8,5,6,3,4,1,2]=>0 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,1,2,3]=>5 [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,4,5,1,2,3]=>3 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[8,9,6,7,4,5,1,2,3]=>0 [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[9,8,7,4,5,6,1,2,3]=>2 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[7,8,9,4,5,6,1,2,3]=>0 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,1,2,3,4]=>4 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,6,1,2,3,4]=>2 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[9,7,8,5,6,1,2,3,4]=>0 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[9,8,5,6,7,1,2,3,4]=>1 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[8,9,5,6,7,1,2,3,4]=>0 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[9,5,6,7,8,1,2,3,4]=>0 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,1,2,3,4,5]=>3 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[9,8,6,7,1,2,3,4,5]=>1 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[9,6,7,8,1,2,3,4,5]=>0 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,7,8,9,1,2,3,4,5]=>0 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[9,8,7,1,2,3,4,5,6]=>2 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[9,7,8,1,2,3,4,5,6]=>0 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,8,9,1,2,3,4,5,6]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,3,1,2]=>7 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,3,4,1,2]=>5 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,5,6,3,4,1,2]=>3 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[10,9,7,8,5,6,3,4,1,2]=>1 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,3,4,1,2]=>0 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,1,2,3]=>6 [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,4,5,1,2,3]=>4 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[10,8,9,6,7,4,5,1,2,3]=>0 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,4,5,6,1,2,3]=>0 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,1,2,3,4]=>5 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,1,2,3,4]=>0 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[8,9,10,5,6,7,1,2,3,4]=>0 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[10,9,5,6,7,8,1,2,3,4]=>1 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[9,10,5,6,7,8,1,2,3,4]=>0 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,1,2,3,4,5]=>4 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[10,8,9,6,7,1,2,3,4,5]=>0 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[10,6,7,8,9,1,2,3,4,5]=>0 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[6,7,8,9,10,1,2,3,4,5]=>0 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,1,2,3,4,5,6]=>3 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[10,7,8,9,1,2,3,4,5,6]=>0 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,1,2,3,4,5,6]=>0 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[10,9,8,1,2,3,4,5,6,7]=>2 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]=>[10,8,9,1,2,3,4,5,6,7]=>0 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[8,9,10,1,2,3,4,5,6,7]=>0 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,10]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[8,9,7,6,5,4,3,2,1,10]=>6 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1,10]=>0 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1,2,3,4,5,6,7,8,10]=>0 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[10,1,2,3,4,5,6,7,8,9,11]=>0 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9,10]=>0 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9,10,11]=>0 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[7,6,5,4,3,2,1,8,9,10]=>5 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[9,8,7,5,6,4,3,2,1,10]=>5 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[8,7,6,5,4,3,2,1,9,10]=>6 [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8,9,10]=>0 [1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]=>[4,5,6,1,2,3,7,8,9,10]=>0 [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[5,6,7,8,1,2,3,4,9,10]=>0 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[6,5,4,3,2,1,7,8,9,10]=>4 [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8,9,10]=>1 [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[5,4,3,2,1,6,7,8,9,10]=>3 [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[4,3,2,1,5,6,7,8,9,10]=>2 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,9,1,2,3,4,5,6,7,10]=>0 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[7,8,5,6,3,4,1,2,9,10]=>0 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[7,8,9,4,5,6,1,2,3,10]=>0
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Description
The number of double descents of a permutation.
A double descent of a permutation $\pi$ is a position $i$ such that $\pi(i) > \pi(i+1) > \pi(i+2)$.
Map
to 132-avoiding permutation
Description
Sends a Dyck path to a 132-avoiding permutation.
This bijection is defined in [1, Section 2].