Identifier
Values
=>
Cc0005;cc-rep-0
[1,0]=>[1]=>0 [1,0,1,0]=>[2,1]=>0 [1,1,0,0]=>[1,2]=>1 [1,0,1,0,1,0]=>[2,3,1]=>1 [1,0,1,1,0,0]=>[2,1,3]=>1 [1,1,0,0,1,0]=>[1,3,2]=>1 [1,1,0,1,0,0]=>[3,1,2]=>1 [1,1,1,0,0,0]=>[1,2,3]=>2 [1,0,1,0,1,0,1,0]=>[2,3,4,1]=>2 [1,0,1,0,1,1,0,0]=>[2,3,1,4]=>2 [1,0,1,1,0,0,1,0]=>[2,1,4,3]=>1 [1,0,1,1,0,1,0,0]=>[2,4,1,3]=>2 [1,0,1,1,1,0,0,0]=>[2,1,3,4]=>2 [1,1,0,0,1,0,1,0]=>[1,3,4,2]=>2 [1,1,0,0,1,1,0,0]=>[1,3,2,4]=>2 [1,1,0,1,0,0,1,0]=>[3,1,4,2]=>2 [1,1,0,1,0,1,0,0]=>[3,4,1,2]=>2 [1,1,0,1,1,0,0,0]=>[3,1,2,4]=>2 [1,1,1,0,0,0,1,0]=>[1,2,4,3]=>2 [1,1,1,0,0,1,0,0]=>[1,4,2,3]=>2 [1,1,1,0,1,0,0,0]=>[4,1,2,3]=>2 [1,1,1,1,0,0,0,0]=>[1,2,3,4]=>3 [1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1]=>3 [1,0,1,0,1,0,1,1,0,0]=>[2,3,4,1,5]=>3 [1,0,1,0,1,1,0,0,1,0]=>[2,3,1,5,4]=>2 [1,0,1,0,1,1,0,1,0,0]=>[2,3,5,1,4]=>3 [1,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,5]=>3 [1,0,1,1,0,0,1,0,1,0]=>[2,1,4,5,3]=>2 [1,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,5]=>2 [1,0,1,1,0,1,0,0,1,0]=>[2,4,1,5,3]=>3 [1,0,1,1,0,1,0,1,0,0]=>[2,4,5,1,3]=>3 [1,0,1,1,0,1,1,0,0,0]=>[2,4,1,3,5]=>3 [1,0,1,1,1,0,0,0,1,0]=>[2,1,3,5,4]=>2 [1,0,1,1,1,0,0,1,0,0]=>[2,1,5,3,4]=>2 [1,0,1,1,1,0,1,0,0,0]=>[2,5,1,3,4]=>3 [1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,5]=>3 [1,1,0,0,1,0,1,0,1,0]=>[1,3,4,5,2]=>3 [1,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5]=>3 [1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4]=>2 [1,1,0,0,1,1,0,1,0,0]=>[1,3,5,2,4]=>3 [1,1,0,0,1,1,1,0,0,0]=>[1,3,2,4,5]=>3 [1,1,0,1,0,0,1,0,1,0]=>[3,1,4,5,2]=>3 [1,1,0,1,0,0,1,1,0,0]=>[3,1,4,2,5]=>3 [1,1,0,1,0,1,0,0,1,0]=>[3,4,1,5,2]=>3 [1,1,0,1,0,1,0,1,0,0]=>[3,4,5,1,2]=>3 [1,1,0,1,0,1,1,0,0,0]=>[3,4,1,2,5]=>3 [1,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,4]=>2 [1,1,0,1,1,0,0,1,0,0]=>[3,1,5,2,4]=>3 [1,1,0,1,1,0,1,0,0,0]=>[3,5,1,2,4]=>3 [1,1,0,1,1,1,0,0,0,0]=>[3,1,2,4,5]=>3 [1,1,1,0,0,0,1,0,1,0]=>[1,2,4,5,3]=>3 [1,1,1,0,0,0,1,1,0,0]=>[1,2,4,3,5]=>3 [1,1,1,0,0,1,0,0,1,0]=>[1,4,2,5,3]=>3 [1,1,1,0,0,1,0,1,0,0]=>[1,4,5,2,3]=>3 [1,1,1,0,0,1,1,0,0,0]=>[1,4,2,3,5]=>3 [1,1,1,0,1,0,0,0,1,0]=>[4,1,2,5,3]=>3 [1,1,1,0,1,0,0,1,0,0]=>[4,1,5,2,3]=>3 [1,1,1,0,1,0,1,0,0,0]=>[4,5,1,2,3]=>3 [1,1,1,0,1,1,0,0,0,0]=>[4,1,2,3,5]=>3 [1,1,1,1,0,0,0,0,1,0]=>[1,2,3,5,4]=>3 [1,1,1,1,0,0,0,1,0,0]=>[1,2,5,3,4]=>3 [1,1,1,1,0,0,1,0,0,0]=>[1,5,2,3,4]=>3 [1,1,1,1,0,1,0,0,0,0]=>[5,1,2,3,4]=>3 [1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>4 [1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,1]=>4 [1,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,4,5,1,6]=>4 [1,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,4,1,6,5]=>3 [1,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,4,6,1,5]=>4 [1,0,1,0,1,0,1,1,1,0,0,0]=>[2,3,4,1,5,6]=>4 [1,0,1,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,6,4]=>3 [1,0,1,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,6]=>3 [1,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,5,1,6,4]=>4 [1,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,5,6,1,4]=>4 [1,0,1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4,6]=>4 [1,0,1,0,1,1,1,0,0,0,1,0]=>[2,3,1,4,6,5]=>3 [1,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,4,5]=>3 [1,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,6,1,4,5]=>4 [1,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,5,6]=>4 [1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,5,6,3]=>3 [1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,5,3,6]=>3 [1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5]=>2 [1,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,6,3,5]=>3 [1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,5,6]=>3 [1,0,1,1,0,1,0,0,1,0,1,0]=>[2,4,1,5,6,3]=>4 [1,0,1,1,0,1,0,0,1,1,0,0]=>[2,4,1,5,3,6]=>4 [1,0,1,1,0,1,0,1,0,0,1,0]=>[2,4,5,1,6,3]=>4 [1,0,1,1,0,1,0,1,0,1,0,0]=>[2,4,5,6,1,3]=>4 [1,0,1,1,0,1,0,1,1,0,0,0]=>[2,4,5,1,3,6]=>4 [1,0,1,1,0,1,1,0,0,0,1,0]=>[2,4,1,3,6,5]=>3 [1,0,1,1,0,1,1,0,0,1,0,0]=>[2,4,1,6,3,5]=>4 [1,0,1,1,0,1,1,0,1,0,0,0]=>[2,4,6,1,3,5]=>4 [1,0,1,1,0,1,1,1,0,0,0,0]=>[2,4,1,3,5,6]=>4 [1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,3,5,6,4]=>3 [1,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,5,4,6]=>3 [1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,3,6,4]=>3 [1,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,6,3,4]=>3 [1,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,3,4,6]=>3 [1,0,1,1,1,0,1,0,0,0,1,0]=>[2,5,1,3,6,4]=>4 [1,0,1,1,1,0,1,0,0,1,0,0]=>[2,5,1,6,3,4]=>4 [1,0,1,1,1,0,1,0,1,0,0,0]=>[2,5,6,1,3,4]=>4 [1,0,1,1,1,0,1,1,0,0,0,0]=>[2,5,1,3,4,6]=>4 [1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,3,4,6,5]=>3 [1,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,3,6,4,5]=>3 [1,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,6,3,4,5]=>3 [1,0,1,1,1,1,0,1,0,0,0,0]=>[2,6,1,3,4,5]=>4 [1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,4,5,6]=>4 [1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,5,6,2]=>4 [1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,4,5,2,6]=>4 [1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,4,2,6,5]=>3 [1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,4,6,2,5]=>4 [1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,4,2,5,6]=>4 [1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,6,4]=>3 [1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,6]=>3 [1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,5,2,6,4]=>4 [1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,5,6,2,4]=>4 [1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,5,2,4,6]=>4 [1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,4,6,5]=>3 [1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,4,5]=>3 [1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,6,2,4,5]=>4 [1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,5,6]=>4 [1,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,4,5,6,2]=>4 [1,1,0,1,0,0,1,0,1,1,0,0]=>[3,1,4,5,2,6]=>4 [1,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,4,2,6,5]=>3 [1,1,0,1,0,0,1,1,0,1,0,0]=>[3,1,4,6,2,5]=>4 [1,1,0,1,0,0,1,1,1,0,0,0]=>[3,1,4,2,5,6]=>4 [1,1,0,1,0,1,0,0,1,0,1,0]=>[3,4,1,5,6,2]=>4 [1,1,0,1,0,1,0,0,1,1,0,0]=>[3,4,1,5,2,6]=>4 [1,1,0,1,0,1,0,1,0,0,1,0]=>[3,4,5,1,6,2]=>4 [1,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,5,6,1,2]=>4 [1,1,0,1,0,1,0,1,1,0,0,0]=>[3,4,5,1,2,6]=>4 [1,1,0,1,0,1,1,0,0,0,1,0]=>[3,4,1,2,6,5]=>3 [1,1,0,1,0,1,1,0,0,1,0,0]=>[3,4,1,6,2,5]=>4 [1,1,0,1,0,1,1,0,1,0,0,0]=>[3,4,6,1,2,5]=>4 [1,1,0,1,0,1,1,1,0,0,0,0]=>[3,4,1,2,5,6]=>4 [1,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,2,5,6,4]=>3 [1,1,0,1,1,0,0,0,1,1,0,0]=>[3,1,2,5,4,6]=>3 [1,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,5,2,6,4]=>4 [1,1,0,1,1,0,0,1,0,1,0,0]=>[3,1,5,6,2,4]=>4 [1,1,0,1,1,0,0,1,1,0,0,0]=>[3,1,5,2,4,6]=>4 [1,1,0,1,1,0,1,0,0,0,1,0]=>[3,5,1,2,6,4]=>4 [1,1,0,1,1,0,1,0,0,1,0,0]=>[3,5,1,6,2,4]=>5 [1,1,0,1,1,0,1,0,1,0,0,0]=>[3,5,6,1,2,4]=>4 [1,1,0,1,1,0,1,1,0,0,0,0]=>[3,5,1,2,4,6]=>4 [1,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,2,4,6,5]=>3 [1,1,0,1,1,1,0,0,0,1,0,0]=>[3,1,2,6,4,5]=>3 [1,1,0,1,1,1,0,0,1,0,0,0]=>[3,1,6,2,4,5]=>4 [1,1,0,1,1,1,0,1,0,0,0,0]=>[3,6,1,2,4,5]=>4 [1,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,2,4,5,6]=>4 [1,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,4,5,6,3]=>4 [1,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,4,5,3,6]=>4 [1,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5]=>3 [1,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,4,6,3,5]=>4 [1,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,4,3,5,6]=>4 [1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,2,5,6,3]=>4 [1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,2,5,3,6]=>4 [1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,5,2,6,3]=>4 [1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,5,6,2,3]=>4 [1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,6]=>4 [1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,2,3,6,5]=>3 [1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,6,3,5]=>4 [1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,6,2,3,5]=>4 [1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,2,3,5,6]=>4 [1,1,1,0,1,0,0,0,1,0,1,0]=>[4,1,2,5,6,3]=>4 [1,1,1,0,1,0,0,0,1,1,0,0]=>[4,1,2,5,3,6]=>4 [1,1,1,0,1,0,0,1,0,0,1,0]=>[4,1,5,2,6,3]=>4 [1,1,1,0,1,0,0,1,0,1,0,0]=>[4,1,5,6,2,3]=>4 [1,1,1,0,1,0,0,1,1,0,0,0]=>[4,1,5,2,3,6]=>4 [1,1,1,0,1,0,1,0,0,0,1,0]=>[4,5,1,2,6,3]=>4 [1,1,1,0,1,0,1,0,0,1,0,0]=>[4,5,1,6,2,3]=>4 [1,1,1,0,1,0,1,0,1,0,0,0]=>[4,5,6,1,2,3]=>4 [1,1,1,0,1,0,1,1,0,0,0,0]=>[4,5,1,2,3,6]=>4 [1,1,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,6,5]=>3 [1,1,1,0,1,1,0,0,0,1,0,0]=>[4,1,2,6,3,5]=>4 [1,1,1,0,1,1,0,0,1,0,0,0]=>[4,1,6,2,3,5]=>4 [1,1,1,0,1,1,0,1,0,0,0,0]=>[4,6,1,2,3,5]=>4 [1,1,1,0,1,1,1,0,0,0,0,0]=>[4,1,2,3,5,6]=>4 [1,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,3,5,6,4]=>4 [1,1,1,1,0,0,0,0,1,1,0,0]=>[1,2,3,5,4,6]=>4 [1,1,1,1,0,0,0,1,0,0,1,0]=>[1,2,5,3,6,4]=>4 [1,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,5,6,3,4]=>4 [1,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,5,3,4,6]=>4 [1,1,1,1,0,0,1,0,0,0,1,0]=>[1,5,2,3,6,4]=>4 [1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,2,6,3,4]=>4 [1,1,1,1,0,0,1,0,1,0,0,0]=>[1,5,6,2,3,4]=>4 [1,1,1,1,0,0,1,1,0,0,0,0]=>[1,5,2,3,4,6]=>4 [1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1,2,3,6,4]=>4 [1,1,1,1,0,1,0,0,0,1,0,0]=>[5,1,2,6,3,4]=>4 [1,1,1,1,0,1,0,0,1,0,0,0]=>[5,1,6,2,3,4]=>4 [1,1,1,1,0,1,0,1,0,0,0,0]=>[5,6,1,2,3,4]=>4 [1,1,1,1,0,1,1,0,0,0,0,0]=>[5,1,2,3,4,6]=>4 [1,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,3,4,6,5]=>4 [1,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,3,6,4,5]=>4 [1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,5]=>4 [1,1,1,1,1,0,0,1,0,0,0,0]=>[1,6,2,3,4,5]=>4 [1,1,1,1,1,0,1,0,0,0,0,0]=>[6,1,2,3,4,5]=>4 [1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,5,6]=>5 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,7,1]=>5 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,4,5,6,1,7]=>5 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,4,5,1,7,6]=>4 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,4,5,7,1,6]=>5 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,3,4,5,1,6,7]=>5 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,4,6,1,7,5]=>5 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,4,6,7,1,5]=>5 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,3,4,1,5,7,6]=>4 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,4,7,1,5,6]=>5 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,5,6,7]=>5 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,5,6,7,1,4]=>5 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,1,4,5,6,7]=>5 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4,1,3,5,6,7]=>5 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,5,7,1,3,4,6]=>5 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,5,1,3,4,6,7]=>5 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,6,3,4,5,7]=>4 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,6,1,7,3,4,5]=>5 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,6,7,1,3,4,5]=>5 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,6,1,3,4,5,7]=>5 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,3,4,7,5,6]=>4 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,3,7,4,5,6]=>4 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,7,3,4,5,6]=>4 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,7,1,3,4,5,6]=>5 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,3,4,5,6,7]=>5 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,3,7,2,4,5,6]=>5 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,4,5,6,7]=>5 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,5,6,7,1,2]=>5 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,1,2,5,6,7]=>5 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[3,5,6,1,2,4,7]=>5 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,6,1,2,4,5,7]=>5 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,1,2,4,5,7,6]=>4 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,1,2,4,5,6,7]=>5 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,6,7,2,3,5]=>5 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,7,2,3,5,6]=>5 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[4,5,1,6,2,3,7]=>5 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[4,5,6,1,2,3,7]=>5 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[4,1,6,2,3,5,7]=>5 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[4,6,1,2,3,7,5]=>5 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[4,6,1,2,3,5,7]=>5 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[4,1,2,3,5,7,6]=>4 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[4,1,2,3,5,6,7]=>5 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,5,6,2,7,3,4]=>5 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,5,6,7,2,3,4]=>5 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,5,2,3,4,7,6]=>4 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,5,2,7,3,4,6]=>5 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,5,7,2,3,4,6]=>5 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[5,1,2,3,6,7,4]=>5 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,1,2,3,6,4,7]=>5 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[5,1,2,6,3,4,7]=>5 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[5,1,6,2,3,7,4]=>5 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[5,1,6,2,3,4,7]=>5 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[5,6,1,2,3,7,4]=>5 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,6,7,1,2,3,4]=>5 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[5,6,1,2,3,4,7]=>5 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,7,6]=>4 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,2,3,7,4,6]=>5 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[5,1,2,3,4,6,7]=>5 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,2,3,4,6,5,7]=>5 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,2,3,6,4,7,5]=>5 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,2,6,3,4,7,5]=>5 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,6,2,3,4,7,5]=>5 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,6,2,3,7,4,5]=>5 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,6,2,7,3,4,5]=>5 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,6,7,2,3,4,5]=>5 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,7,5]=>5 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[6,1,2,3,7,4,5]=>5 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[6,1,2,7,3,4,5]=>5 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[6,7,1,2,3,4,5]=>5 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[6,1,2,3,4,5,7]=>5 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,2,3,4,5,7,6]=>5 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,7,2,3,4,5,6]=>5 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[7,1,2,3,4,5,6]=>5 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7]=>6 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,7,8,1]=>6 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,4,5,6,7,1,8]=>6 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,4,5,6,1,8,7]=>5 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,4,5,6,8,1,7]=>6 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,3,4,5,6,1,7,8]=>6 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,4,5,7,8,1,6]=>6 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1,6,7,8]=>6 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,6,7,8,5]=>5 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,5,6,1,7,8,4]=>6 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,1,4,5,7,8,6]=>5 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,8,7]=>3 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,4,3,7,5,8,6]=>4 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,4,3,7,8,5,6]=>4 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,4,3,8,5,6,7]=>4 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,4,5,6,7,1,8,3]=>6 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,4,6,1,7,3,8,5]=>7 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,6,8,1,3,5,7]=>6 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,4,1,3,7,5,8,6]=>5 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,4,7,8,1,3,5,6]=>6 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,1,5,3,6,4,8,7]=>4 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[2,1,5,6,3,4,8,7]=>4 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,1,5,3,7,4,8,6]=>5 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,1,5,7,3,8,4,6]=>6 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[2,5,6,8,1,3,4,7]=>6 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[2,5,1,7,3,4,8,6]=>6 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,5,7,8,1,3,4,6]=>6 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,7,8,5]=>5 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,1,6,3,7,4,8,5]=>5 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,1,6,7,8,3,4,5]=>5 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,1,6,3,4,5,8,7]=>4 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[2,6,7,1,3,4,8,5]=>6 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,6,7,8,1,3,4,5]=>6 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,6,1,3,4,5,7,8]=>6 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,7,8,1,3,4,5,6]=>6 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,7,1,3,4,5,6,8]=>6 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,8,7]=>5 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,1,3,8,4,5,6,7]=>5 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,1,8,3,4,5,6,7]=>5 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,8,1,3,4,5,6,7]=>6 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8]=>6 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,6,7,5,8]=>5 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6,8]=>4 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,5,4,8,6,7]=>4 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,5,4,6,7,8]=>5 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,5,6,2,7,4,8]=>6 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,5,8,2,4,6,7]=>6 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,3,2,6,4,7,5,8]=>5 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,6,4,8,5,7]=>5 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,2,6,4,5,7,8]=>5 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,3,2,4,5,7,6,8]=>5 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,7,4,8,5,6]=>5 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,7,4,5,6,8]=>5 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,3,2,4,5,8,6,7]=>5 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,2,8,4,5,6,7]=>5 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,2,4,5,6,7,8]=>6 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,4,2,6,5,8,7]=>4 [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[3,1,4,2,6,8,5,7]=>5 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,1,4,2,7,5,8,6]=>5 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,5,6,7,8,1,2]=>6 [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,4,1,2,6,5,8,7]=>4 [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[3,4,6,8,1,2,5,7]=>6 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[3,4,1,2,7,8,5,6]=>5 [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,4,7,8,1,2,5,6]=>6 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8]=>6 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,5,2,6,4,8,7]=>5 [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,1,5,6,2,8,4,7]=>6 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,5,2,7,4,8,6]=>6 [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,5,1,6,2,4,8,7]=>6 [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,5,6,8,1,2,4,7]=>6 [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,5,1,7,2,8,4,6]=>8 [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,5,7,8,1,2,4,6]=>6 [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[3,1,2,6,7,4,8,5]=>5 [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[3,1,6,2,7,4,8,5]=>6 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[3,6,1,7,8,2,4,5]=>7 [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[3,6,7,1,2,8,4,5]=>6 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,6,7,8,1,2,4,5]=>6 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,1,2,4,5,8,6,7]=>5 [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,6,5,7,8]=>5 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,4,2,5,3,7,6,8]=>5 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,4,2,5,3,8,6,7]=>5 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,4,2,5,3,6,7,8]=>6 [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,4,5,6,7,2,3,8]=>6 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,2,6,3,7,5,8]=>6 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,6,7,8,3,5]=>6 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,6,3,8,5,7]=>6 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,2,6,3,5,7,8]=>6 [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,4,2,3,5,7,6,8]=>5 [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,2,3,7,5,6,8]=>5 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,4,2,7,3,8,5,6]=>6 [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2,7,3,5,6,8]=>6 [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,4,2,3,5,8,6,7]=>5 [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,4,2,8,3,5,6,7]=>6 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,4,2,3,5,6,7,8]=>6 [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[4,1,5,2,6,3,8,7]=>5 [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[4,1,5,6,8,2,3,7]=>6 [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[4,1,5,2,7,3,8,6]=>6 [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[4,1,5,2,7,8,3,6]=>6 [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[4,5,6,1,2,3,8,7]=>5 [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[4,5,6,8,1,2,3,7]=>6 [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,1,2,3,7,8]=>6 [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[4,5,1,7,8,2,3,6]=>6 [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[4,5,7,1,2,8,3,6]=>7 [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[4,5,7,8,1,2,3,6]=>6 [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,1,2,3,6,5,8,7]=>4 [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,6,2,7,3,8,5]=>7 [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,6,7,1,8,2,3,5]=>7 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,6,7,8,1,2,3,5]=>6 [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[4,7,1,2,3,5,6,8]=>6 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[4,1,2,3,8,5,6,7]=>5 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,6,7,8,4]=>6 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6,8]=>5 [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[1,2,3,5,4,8,6,7]=>5 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,2,3,5,4,6,7,8]=>6 [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[1,2,5,6,3,4,7,8]=>6 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,5,2,6,3,7,4,8]=>6 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,5,2,6,3,8,4,7]=>6 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[1,5,2,6,3,4,7,8]=>6 [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,5,2,3,4,7,6,8]=>5 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,5,2,7,3,8,4,6]=>7 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,5,2,7,3,4,6,8]=>6 [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,5,2,3,4,8,6,7]=>5 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[1,5,2,8,3,4,6,7]=>6 [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[1,5,8,2,3,4,6,7]=>6 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,5,2,3,4,6,7,8]=>6 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[5,1,6,2,7,3,8,4]=>6 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>6 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[5,6,7,1,2,3,4,8]=>6 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[5,7,1,2,3,4,6,8]=>6 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[5,1,2,3,4,6,8,7]=>5 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[5,1,2,8,3,4,6,7]=>6 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[5,1,2,3,4,6,7,8]=>6 [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[1,2,3,6,4,7,5,8]=>6 [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[1,2,3,6,4,8,5,7]=>6 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,2,3,6,4,5,7,8]=>6 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,6,2,3,4,7,5,8]=>6 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,6,2,7,3,8,4,5]=>6 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[1,6,2,7,3,4,5,8]=>6 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,6,7,8,2,3,4,5]=>6 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,6,7,2,3,4,5,8]=>6 [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,8,5,7]=>6 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,6,2,8,3,4,5,7]=>6 [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,6,8,2,3,4,5,7]=>6 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[1,6,2,3,4,5,7,8]=>6 [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[6,1,2,7,3,4,5,8]=>6 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[6,1,7,2,3,4,5,8]=>6 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[6,7,1,2,3,4,8,5]=>6 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[6,7,8,1,2,3,4,5]=>6 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[6,7,1,2,3,4,5,8]=>6 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,8,7]=>5 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[6,1,8,2,3,4,5,7]=>6 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[6,1,2,3,4,5,7,8]=>6 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,2,3,4,5,7,6,8]=>6 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,2,3,7,4,8,5,6]=>6 [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,2,3,7,4,5,6,8]=>6 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,2,7,3,4,5,8,6]=>6 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,7,2,3,4,5,8,6]=>6 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,7,2,3,4,8,5,6]=>6 [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,7,2,3,8,4,5,6]=>6 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,7,2,8,3,4,5,6]=>6 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,7,8,2,3,4,5,6]=>6 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,7,2,3,4,5,6,8]=>6 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,8,6]=>6 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[7,1,2,3,4,8,5,6]=>6 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[7,8,1,2,3,4,5,6]=>6 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[7,1,2,3,4,5,6,8]=>6 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,2,3,4,5,6,8,7]=>6 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,2,3,4,5,8,6,7]=>6 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,2,3,8,4,5,6,7]=>6 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,8,2,3,4,5,6,7]=>6 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[8,1,2,3,4,5,6,7]=>6 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8]=>7 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,2,3,4,5,6,7,9,8]=>7 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9]=>7 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[1,2,3,4,5,6,7,8,10,9]=>8 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,9,7]=>7 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,9,1,3,4,5,6,7,8]=>7 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9,10]=>8 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[1,2,3,4,5,6,7,8,9,11,10]=>9 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,10,8]=>8 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[1,8,2,3,4,5,6,9,7]=>7 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,9,8]=>6 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2,1,9,3,4,5,6,7,8]=>6 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,8,1,3,4,5,6,7,9]=>7 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[2,10,1,3,4,5,6,7,8,9]=>8 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9,10,11]=>9 []=>[]=>0 [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8,9]=>7 [1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[4,5,6,1,2,3,7,8,9]=>7 [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[5,6,7,8,1,2,3,4,9]=>7 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[6,7,8,9,1,2,3,4,5]=>7 [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,8,1,2,3,4,5,7,9]=>7 [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]=>[1,7,9,2,3,4,5,6,8]=>7 [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0]=>[7,1,8,2,3,4,5,6,9]=>7 [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[7,8,9,1,2,3,4,5,6]=>7 [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[7,8,1,2,3,4,5,6,9]=>7 [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[7,1,2,3,4,5,6,8,9]=>7 [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[1,8,2,9,3,4,5,6,7]=>7 [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[1,8,9,2,3,4,5,6,7]=>7 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[8,9,1,2,3,4,5,6,7]=>7 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[8,1,2,3,4,5,6,7,9]=>7 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,9,2,3,4,5,6,7,8]=>7 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[9,1,2,3,4,5,6,7,8]=>7 [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]=>8 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,7,8,9,1]=>7 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,4,5,6,7,8,1,9]=>7 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,4,5,6,7,9,1,8]=>7 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,7,8,9,10,1]=>8 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,4,5,6,7,8,9,1,10]=>8 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,3,4,5,6,7,1,8,9]=>7 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>9 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,8,7,10,9]=>4 [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]=>9 [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[9,1,2,3,4,5,6,7,8,10]=>8 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[1,10,2,3,4,5,6,7,8,9]=>8 [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]=>[10,1,2,3,4,5,6,7,8,9,11]=>9 [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>[8,9,1,2,3,4,5,6,7,10]=>8 [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[1,9,10,2,3,4,5,6,7,8]=>8 [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[1,11,2,3,4,5,6,7,8,9,10]=>9 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[10,1,2,3,4,5,6,7,8,9]=>8 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[11,1,2,3,4,5,6,7,8,9,10]=>9 [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[2,7,8,9,10,1,3,4,5,6]=>8 [1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8,9,10]=>8 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,4,6,8,10,1,3,5,7,9]=>8 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>10 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[6,7,8,9,10,1,2,3,4,5]=>8 [1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,7,8,9,10,1,2,4,5,6]=>8 [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[9,10,1,2,3,4,5,6,7,8]=>8 [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[7,8,9,10,1,2,3,4,5,6]=>8 [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[8,9,10,1,2,3,4,5,6,7]=>8 [1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[5,6,7,8,1,2,3,4,9,10]=>8 [1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,5,6,1,2,3,7,8,9,10]=>8 [1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,7,8,9,10,1,2,3,4,6]=>8 [1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[4,7,8,9,10,1,2,3,5,6]=>8 [1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[5,6,7,8,10,1,2,3,4,9]=>8 [1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,4,6,8,10,1,2,5,7,9]=>8 [1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[4,5,6,9,10,1,2,3,7,8]=>8 [1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[4,5,8,9,10,1,2,3,6,7]=>8 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>5 [1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[2,6,8,9,10,1,3,4,5,7]=>8 [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[2,8,9,10,11,12,1,3,4,5,6,7]=>10
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Description
The number of minimal elements in Bruhat order not less than the permutation.
The minimal elements in question are biGrassmannian, that is
$$1\dots r\ \ a+1\dots b\ \ r+1\dots a\ \ b+1\dots$$
for some $(r,a,b)$.
This is also the size of Fulton's essential set of the reverse permutation, according to [ex.4.7, 2].
Map
to 321-avoiding permutation (Billey-Jockusch-Stanley)
Description
The Billey-Jockusch-Stanley bijection to 321-avoiding permutations.