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]=>1 [1,1,1,0,0,0]=>[3,1,2]=>1 [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]=>1 [1,0,1,1,1,0,0,0]=>[1,4,2,3]=>1 [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]=>1 [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>1 [1,1,0,1,1,0,0,0]=>[2,4,1,3]=>1 [1,1,1,0,0,0,1,0]=>[3,1,2,4]=>1 [1,1,1,0,0,1,0,0]=>[3,1,4,2]=>2 [1,1,1,0,1,0,0,0]=>[3,4,1,2]=>1 [1,1,1,1,0,0,0,0]=>[4,1,2,3]=>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]=>1 [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,3,4]=>1 [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]=>1 [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>1 [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>1 [1,0,1,1,1,0,0,0,1,0]=>[1,4,2,3,5]=>1 [1,0,1,1,1,0,0,1,0,0]=>[1,4,2,5,3]=>2 [1,0,1,1,1,0,1,0,0,0]=>[1,4,5,2,3]=>1 [1,0,1,1,1,1,0,0,0,0]=>[1,5,2,3,4]=>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]=>2 [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,3,4]=>2 [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>1 [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>2 [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>1 [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>1 [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>1 [1,1,0,1,1,0,0,0,1,0]=>[2,4,1,3,5]=>1 [1,1,0,1,1,0,0,1,0,0]=>[2,4,1,5,3]=>2 [1,1,0,1,1,0,1,0,0,0]=>[2,4,5,1,3]=>1 [1,1,0,1,1,1,0,0,0,0]=>[2,5,1,3,4]=>1 [1,1,1,0,0,0,1,0,1,0]=>[3,1,2,4,5]=>1 [1,1,1,0,0,0,1,1,0,0]=>[3,1,2,5,4]=>2 [1,1,1,0,0,1,0,0,1,0]=>[3,1,4,2,5]=>2 [1,1,1,0,0,1,0,1,0,0]=>[3,1,4,5,2]=>2 [1,1,1,0,0,1,1,0,0,0]=>[3,1,5,2,4]=>2 [1,1,1,0,1,0,0,0,1,0]=>[3,4,1,2,5]=>1 [1,1,1,0,1,0,0,1,0,0]=>[3,4,1,5,2]=>2 [1,1,1,0,1,0,1,0,0,0]=>[3,4,5,1,2]=>1 [1,1,1,0,1,1,0,0,0,0]=>[3,5,1,2,4]=>1 [1,1,1,1,0,0,0,0,1,0]=>[4,1,2,3,5]=>1 [1,1,1,1,0,0,0,1,0,0]=>[4,1,2,5,3]=>2 [1,1,1,1,0,0,1,0,0,0]=>[4,1,5,2,3]=>2 [1,1,1,1,0,1,0,0,0,0]=>[4,5,1,2,3]=>1 [1,1,1,1,1,0,0,0,0,0]=>[5,1,2,3,4]=>1 [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]=>1 [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,4,5]=>1 [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]=>1 [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>1 [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,3,5]=>1 [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,3,4,6]=>1 [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,3,6,4]=>2 [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,5,6,3,4]=>1 [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,3,4,5]=>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]=>2 [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,4,5]=>2 [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>1 [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>2 [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>1 [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>1 [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,2,5]=>1 [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,2,4,6]=>1 [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,2,6,4]=>2 [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,5,6,2,4]=>1 [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,2,4,5]=>1 [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,2,3,5,6]=>1 [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,2,3,6,5]=>2 [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,2,5,3,6]=>2 [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,6,3]=>2 [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,2,6,3,5]=>2 [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,4,5,2,3,6]=>1 [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,4,5,2,6,3]=>2 [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,4,5,6,2,3]=>1 [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,4,6,2,3,5]=>1 [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,2,3,4,6]=>1 [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,6,4]=>2 [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,5,2,6,3,4]=>2 [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,5,6,2,3,4]=>1 [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,2,3,4,5]=>1 [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]=>2 [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,4,5]=>2 [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]=>2 [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>2 [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,3,5]=>2 [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,3,4,6]=>2 [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,3,6,4]=>3 [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,5,6,3,4]=>2 [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,3,4,5]=>2 [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>1 [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>2 [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>2 [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>2 [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,4,5]=>2 [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>1 [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>2 [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>1 [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>1 [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,1,5]=>1 [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,1,4,6]=>1 [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,1,6,4]=>2 [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,6,1,4]=>1 [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,1,4,5]=>1 [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,1,3,5,6]=>1 [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,6,5]=>2 [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,1,5,3,6]=>2 [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,1,5,6,3]=>2 [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,1,6,3,5]=>2 [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,4,5,1,3,6]=>1 [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,5,1,6,3]=>2 [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,6,1,3]=>1 [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,6,1,3,5]=>1 [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,1,3,4,6]=>1 [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,1,3,6,4]=>2 [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,5,1,6,3,4]=>2 [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,5,6,1,3,4]=>1 [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,1,3,4,5]=>1 [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,2,4,5,6]=>1 [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,1,2,4,6,5]=>2 [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,2,5,4,6]=>2 [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,1,2,5,6,4]=>2 [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,1,2,6,4,5]=>2 [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,4,2,5,6]=>2 [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,4,2,6,5]=>3 [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,4,5,2,6]=>2 [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,2]=>2 [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,1,4,6,2,5]=>2 [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,5,2,4,6]=>2 [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,1,5,2,6,4]=>3 [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,1,5,6,2,4]=>2 [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,1,6,2,4,5]=>2 [1,1,1,0,1,0,0,0,1,0,1,0]=>[3,4,1,2,5,6]=>1 [1,1,1,0,1,0,0,0,1,1,0,0]=>[3,4,1,2,6,5]=>2 [1,1,1,0,1,0,0,1,0,0,1,0]=>[3,4,1,5,2,6]=>2 [1,1,1,0,1,0,0,1,0,1,0,0]=>[3,4,1,5,6,2]=>2 [1,1,1,0,1,0,0,1,1,0,0,0]=>[3,4,1,6,2,5]=>2 [1,1,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,1,2,6]=>1 [1,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,1,6,2]=>2 [1,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,1,2]=>1 [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,6,1,2,5]=>1 [1,1,1,0,1,1,0,0,0,0,1,0]=>[3,5,1,2,4,6]=>1 [1,1,1,0,1,1,0,0,0,1,0,0]=>[3,5,1,2,6,4]=>2 [1,1,1,0,1,1,0,0,1,0,0,0]=>[3,5,1,6,2,4]=>2 [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,5,6,1,2,4]=>1 [1,1,1,0,1,1,1,0,0,0,0,0]=>[3,6,1,2,4,5]=>1 [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,1,2,3,5,6]=>1 [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,1,2,3,6,5]=>2 [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,5,3,6]=>2 [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,1,2,5,6,3]=>2 [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,1,2,6,3,5]=>2 [1,1,1,1,0,0,1,0,0,0,1,0]=>[4,1,5,2,3,6]=>2 [1,1,1,1,0,0,1,0,0,1,0,0]=>[4,1,5,2,6,3]=>3 [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,1,5,6,2,3]=>2 [1,1,1,1,0,0,1,1,0,0,0,0]=>[4,1,6,2,3,5]=>2 [1,1,1,1,0,1,0,0,0,0,1,0]=>[4,5,1,2,3,6]=>1 [1,1,1,1,0,1,0,0,0,1,0,0]=>[4,5,1,2,6,3]=>2 [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,5,1,6,2,3]=>2 [1,1,1,1,0,1,0,1,0,0,0,0]=>[4,5,6,1,2,3]=>1 [1,1,1,1,0,1,1,0,0,0,0,0]=>[4,6,1,2,3,5]=>1 [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,6]=>1 [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1,2,3,6,4]=>2 [1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1,2,6,3,4]=>2 [1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1,6,2,3,4]=>2 [1,1,1,1,1,0,1,0,0,0,0,0]=>[5,6,1,2,3,4]=>1 [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,1,2,3,4,5]=>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]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,5,6]=>1 [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]=>1 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>1 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,4,6]=>1 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,4,5,7]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,4,7,5]=>2 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,6,7,4,5]=>1 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,4,5,6]=>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]=>2 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,5,6]=>2 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>1 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>2 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>1 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,3,6]=>1 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,3,5,7]=>1 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,3,7,5]=>2 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,6,7,3,5]=>1 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,3,5,6]=>1 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,3,4,6,7]=>1 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,3,4,7,6]=>2 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,3,6,4,7]=>2 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,3,6,7,4]=>2 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,3,7,4,6]=>2 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,5,6,3,4,7]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,5,6,3,7,4]=>2 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,3,4]=>1 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,5,7,3,4,6]=>1 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,3,4,5,7]=>1 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,3,4,7,5]=>2 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,6,3,7,4,5]=>2 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,6,7,3,4,5]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,3,4,5,6]=>1 [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]=>2 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,5,6]=>2 [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]=>2 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>2 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,4,6]=>2 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,4,5,7]=>2 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,4,7,5]=>3 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,6,7,4,5]=>2 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,4,5,6]=>2 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>2 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>2 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,5,6]=>2 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>1 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>2 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>1 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,2,6]=>1 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,2,5,7]=>1 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,2,7,5]=>2 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,6,7,2,5]=>1 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,2,5,6]=>1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,2,4,6,7]=>1 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,2,4,7,6]=>2 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,2,6,4,7]=>2 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,2,6,7,4]=>2 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,2,7,4,6]=>2 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,5,6,2,4,7]=>1 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,5,6,2,7,4]=>2 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,2,4]=>1 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,7,2,4,6]=>1 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,2,4,5,7]=>1 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,2,4,7,5]=>2 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,6,2,7,4,5]=>2 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,6,7,2,4,5]=>1 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,2,4,5,6]=>1 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,2,3,5,6,7]=>1 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,2,3,5,7,6]=>2 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,2,3,6,5,7]=>2 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,2,3,6,7,5]=>2 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,2,3,7,5,6]=>2 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,2,5,3,6,7]=>2 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,2,5,3,7,6]=>3 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,2,5,6,3,7]=>2 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,5,6,7,3]=>2 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,2,5,7,3,6]=>2 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,2,6,3,5,7]=>2 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,6,3,7,5]=>3 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,2,6,7,3,5]=>2 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,2,7,3,5,6]=>2 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,4,5,2,3,6,7]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,4,5,2,3,7,6]=>2 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,2,6,3,7]=>2 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,5,2,6,7,3]=>2 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,5,2,7,3,6]=>2 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,2,3,7]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,2,7,3]=>2 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,2,3]=>1 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,4,5,7,2,3,6]=>1 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,4,6,2,3,5,7]=>1 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,6,2,3,7,5]=>2 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,6,2,7,3,5]=>2 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,4,6,7,2,3,5]=>1 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,4,7,2,3,5,6]=>1 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,2,3,4,7,6]=>2 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,5,2,7,3,4,6]=>2 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,5,6,2,7,3,4]=>2 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,2,3,4]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,5,7,2,3,4,6]=>1 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,7,5]=>2 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,6,2,3,7,4,5]=>2 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,6,2,7,3,4,5]=>2 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,6,7,2,3,4,5]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,2,3,4,5,6]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7]=>1 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,5,6]=>2 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,4,5,6]=>2 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,3,4,5,7]=>2 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,3,4,5,6]=>2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>1 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>1 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>2 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>1 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>2 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,1,6]=>1 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,1,7,5]=>2 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,6,7,1,5]=>1 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,1,5,6]=>1 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,1,4]=>1 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,1,3,5,6,7]=>1 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,1,3,4,6,7]=>1 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,5,7,1,3,4,6]=>1 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,1,3,4,5,7]=>1 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,6,1,7,3,4,5]=>2 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,6,7,1,3,4,5]=>1 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,1,3,4,5,6]=>1 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,2,4,5,6,7]=>1 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,1,2,4,5,7,6]=>2 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,1,2,5,6,7]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,1,2]=>1 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,5,6,1,2,4,7]=>1 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,6,1,2,4,5,7]=>1 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,2,3,5,6,7]=>1 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,2,3,5,7,6]=>2 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,6,2,3,5,7]=>2 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,5,1,6,2,3,7]=>2 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,1,2,3,7]=>1 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,6,1,2,3,5,7]=>1 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,6,1,2,3,7,5]=>2 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,2,3,4,6,7]=>1 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,1,2,3,4,7,6]=>2 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,2,3,6,4,7]=>2 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,2,3,6,7,4]=>2 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,1,2,3,7,4,6]=>2 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,2,6,3,4,7]=>2 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,6,2,3,4,7]=>2 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,6,2,3,7,4]=>3 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,6,1,2,3,4,7]=>1 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,6,1,2,3,7,4]=>2 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,1,2,3,4]=>1 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,7]=>1 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1,2,3,4,7,5]=>2 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1,2,3,7,4,5]=>2 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1,2,7,3,4,5]=>2 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,7,1,2,3,4,5]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,1,2,3,4,5,6]=>1 [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 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,8,6,7]=>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 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3,5,4,8,6,7]=>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]=>1 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,3,6,4,5,7,8]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,6,4,7,5,8]=>2 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,6,4,8,5,7]=>2 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,3,7,4,5,6,8]=>1 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,3,7,4,8,5,6]=>2 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,8,4,5,6,7]=>1 [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 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,5,6,3,4,7,8]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,7,3,4,5,8,6]=>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 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,5,8,6,7]=>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 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,8,6,7]=>3 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,3,2,6,4,5,7,8]=>2 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,2,6,4,7,5,8]=>3 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2,6,4,8,5,7]=>3 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,3,2,7,4,5,6,8]=>2 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,3,2,7,4,8,5,6]=>3 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,8,4,5,6,7]=>2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,6,7,5,8]=>2 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,5,6,2,7,4,8]=>2 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,5,8,2,4,6,7]=>1 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,4,2,3,5,6,7,8]=>1 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,4,2,3,5,7,6,8]=>2 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,4,2,3,5,8,6,7]=>2 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,2,3,7,5,6,8]=>2 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,4,2,5,3,6,7,8]=>2 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,4,2,5,3,7,6,8]=>3 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,4,2,5,3,8,6,7]=>3 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,4,2,6,3,5,7,8]=>2 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,4,2,6,3,7,5,8]=>3 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,2,6,3,8,5,7]=>3 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,2,6,7,8,3,5]=>2 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,4,2,7,3,5,6,8]=>2 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,2,7,3,8,5,6]=>3 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,2,8,3,5,6,7]=>2 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,7,2,3,8]=>1 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,5,2,3,4,6,7,8]=>1 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,5,2,3,4,7,6,8]=>2 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,5,2,3,4,8,6,7]=>2 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,5,2,6,3,4,7,8]=>2 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,5,2,6,3,7,4,8]=>3 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,5,2,6,3,8,4,7]=>3 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,5,2,7,3,4,6,8]=>2 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,5,2,7,3,8,4,6]=>3 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,5,2,8,3,4,6,7]=>2 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,5,8,2,3,4,6,7]=>1 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,6,2,3,4,5,7,8]=>1 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,6,2,3,4,7,5,8]=>2 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,2,3,4,8,5,7]=>2 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,6,2,7,3,4,5,8]=>2 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,6,2,7,3,8,4,5]=>3 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,6,2,8,3,4,5,7]=>2 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,6,7,2,3,4,5,8]=>1 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,6,7,8,2,3,4,5]=>1 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,6,8,2,3,4,5,7]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,7,2,3,4,5,6,8]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,8,6]=>2 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,7,2,3,4,8,5,6]=>2 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,7,2,3,8,4,5,6]=>2 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,7,2,8,3,4,5,6]=>2 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,7,8,2,3,4,5,6]=>1 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,2,3,4,5,6,7]=>1 [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 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,8,4,5,6,7]=>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 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,5,8,6]=>4 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,3,7,8,5,6]=>3 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,5,6,7]=>3 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,3,6,4,8,7]=>4 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,3,7,4,8,6]=>4 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,5,6,3,4,8,7]=>3 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,5,7,3,8,4,6]=>3 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,3,4,5,8,7]=>3 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,6,3,4,7,8,5]=>3 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,6,3,7,4,8,5]=>4 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,6,7,8,3,4,5]=>2 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,3,4,5,6,7]=>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]=>2 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,5]=>2 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8]=>1 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,1,7,8]=>1 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,1,8,7]=>2 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,1,8]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,1]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,8,1,7]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,7,8,1,6]=>1 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,5,6,1,7,8,4]=>2 [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,1,3,7,5,8,6]=>3 [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,7,1,8,3]=>2 [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,4,6,1,7,3,8,5]=>3 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,4,6,8,1,3,5,7]=>1 [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,4,7,8,1,3,5,6]=>1 [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,5,1,7,3,4,8,6]=>3 [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,5,6,8,1,3,4,7]=>1 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,5,7,8,1,3,4,6]=>1 [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,6,1,3,4,5,7,8]=>1 [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,6,7,1,3,4,8,5]=>2 [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,6,7,8,1,3,4,5]=>1 [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,7,1,3,4,5,6,8]=>1 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,7,8,1,3,4,5,6]=>1 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,8,1,3,4,5,6,7]=>1 [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,1,2,4,5,8,6,7]=>2 [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,1,2,6,7,4,8,5]=>3 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,4,2,6,5,8,7]=>4 [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,1,4,2,6,8,5,7]=>3 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,1,4,2,7,5,8,6]=>4 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,5,2,6,4,8,7]=>4 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,1,5,2,7,4,8,6]=>4 [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[3,1,5,6,2,8,4,7]=>3 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,1,6,2,7,4,8,5]=>4 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,4,1,2,5,6,7,8]=>1 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,6,5,8,7]=>3 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,4,1,2,7,8,5,6]=>2 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,1,2]=>1 [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,4,6,8,1,2,5,7]=>1 [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,4,7,8,1,2,5,6]=>1 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,5,1,6,2,4,8,7]=>3 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,5,1,7,2,8,4,6]=>3 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,5,6,8,1,2,4,7]=>1 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,5,7,8,1,2,4,6]=>1 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,6,1,7,8,2,4,5]=>2 [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,6,7,1,2,8,4,5]=>2 [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,6,7,8,1,2,4,5]=>1 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,1,2,3,6,5,8,7]=>3 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,1,2,3,8,5,6,7]=>2 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,1,5,2,6,3,8,7]=>4 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,5,2,7,3,8,6]=>4 [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[4,1,5,2,7,8,3,6]=>3 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,5,6,8,2,3,7]=>2 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,1,6,2,7,3,8,5]=>4 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,5,1,7,8,2,3,6]=>2 [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,6,1,2,3,7,8]=>1 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,6,1,2,3,8,7]=>2 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,6,8,1,2,3,7]=>1 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,5,7,1,2,8,3,6]=>2 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,5,7,8,1,2,3,6]=>1 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,6,7,1,8,2,3,5]=>2 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,6,7,8,1,2,3,5]=>1 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,7,1,2,3,5,6,8]=>1 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,2,3,4,6,7,8]=>1 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2,3,4,6,8,7]=>2 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,1,2,8,3,4,6,7]=>2 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,6,2,7,3,8,4]=>4 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,6,7,1,2,3,4,8]=>1 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,7,1,2,3,4,6,8]=>1 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,2,3,4,5,7,8]=>1 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,1,2,3,4,5,8,7]=>2 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,2,7,3,4,5,8]=>2 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,7,2,3,4,5,8]=>2 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,1,8,2,3,4,5,7]=>2 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,7,1,2,3,4,5,8]=>1 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,7,1,2,3,4,8,5]=>2 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,1,2,3,4,5]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,8]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1,2,3,4,5,8,6]=>2 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1,2,3,4,8,5,6]=>2 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,8,1,2,3,4,5,6]=>1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,1,2,3,4,5,6,7]=>1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7,9]=>1 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,9,2,3,4,5,6,7,8]=>1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,8,10]=>1 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[7,8,1,2,3,4,5,6,9]=>1 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,8,9,2,3,4,5,6,7]=>1 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,10,2,3,4,5,6,7,8,9]=>1 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10,1,2,3,4,5,6,7,8,9,11]=>1 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[8,9,1,2,3,4,5,6,7,10]=>1 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[7,1,8,2,3,4,5,6,9]=>2 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[6,8,1,2,3,4,5,7,9]=>1 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,8,2,9,3,4,5,6,7]=>2 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,7,9,2,3,4,5,6,8]=>1 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,9,10,2,3,4,5,6,7,8]=>1 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,11,2,3,4,5,6,7,8,9,10]=>1 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,6,7,8,1,2,3,4,9]=>1 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,8,1,3,4,5,6,7,9]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,1,2,3,4,5,6,9,8]=>2 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,8,2,3,4,5,6,9,7]=>2 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,9,3,4,5,6,7,8]=>2 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,1,2,3,4,5,6,8,9]=>1 []=>[]=>0 [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]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,9,1,8]=>1 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,9,1,3,4,5,6,7,8]=>1 [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,9,1,2,3,4,5]=>1 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,8,9,1,2,3,4,5,6]=>1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1,2,3,4,5,6,9,7]=>2 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,9,1,2,3,4,5,6,7]=>1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9,1,2,3,4,5,6,7,8]=>1 [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]=>1 [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 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>1 [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 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[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 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10,1,2,3,4,5,6,7,8,9]=>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]=>1 [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]=>1 [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]=>1 [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,6,7,8,10,1,2,3,4,9]=>1 [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 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,4,1,2,5,6,7,8,9]=>1 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,10,1,3,4,5,6,7,8,9]=>1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1,2,3,4,5,6,7,10,8]=>2 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,10,1,2,3,4,5,6,7,8]=>1 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[11,1,2,3,4,5,6,7,8,9,10]=>1 [1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[2,7,8,9,10,1,3,4,5,6]=>1 [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[8,9,10,1,2,3,4,5,6,7]=>1 [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,9,10,1,2,3,4,5]=>1 [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,8,9,10,1,2,3,4,5,6]=>1 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,4,1,2,5,6,7,8,9,10]=>1 [1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[4,7,8,9,10,1,2,3,5,6]=>1 [1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,6,7,9,10,1,2,3,4,8]=>1 [1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>[5,6,8,9,10,1,2,3,4,7]=>1 [1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[5,7,8,9,10,1,2,3,4,6]=>1 [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[3,5,7,9,10,1,2,4,6,8]=>1 [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,5,6,1,2,3,7,8,9,10]=>1 [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,4,6,9,10,1,3,5,7,8]=>1 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,6,8,10,1,3,5,7,9]=>1 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>1 [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[4,5,6,1,2,3,7,8,9]=>1 [1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,5,6,9,10,1,2,3,7,8]=>1 [1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[4,5,8,9,10,1,2,3,6,7]=>1 [1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[4,6,7,8,10,1,2,3,5,9]=>1 [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[6,7,8,9,10,12,1,2,3,4,5,11]=>1
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Description
The number of isolated descents of a permutation.
A descent $i$ is isolated if neither $i+1$ nor $i-1$ are descents. If a permutation has only isolated descents, then it is called primitive in [1].
Map
to 321-avoiding permutation (Krattenthaler)
Description
Krattenthaler's bijection to 321-avoiding permutations.
Draw the path of semilength $n$ in an $n\times n$ square matrix, starting at the upper left corner, with right and down steps, and staying below the diagonal. Then the permutation matrix is obtained by placing ones into the cells corresponding to the peaks of the path and placing ones into the remaining columns from left to right, such that the row indices of the cells increase.