Identifier
- St001035: Dyck paths ⟶ ℤ
Values
=>
Cc0005;cc-rep
[1,0,1,0]=>0
[1,1,0,0]=>0
[1,0,1,0,1,0]=>0
[1,0,1,1,0,0]=>1
[1,1,0,0,1,0]=>1
[1,1,0,1,0,0]=>0
[1,1,1,0,0,0]=>1
[1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,1,0,0]=>1
[1,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,1,0,0]=>1
[1,0,1,1,1,0,0,0]=>1
[1,1,0,0,1,0,1,0]=>1
[1,1,0,0,1,1,0,0]=>2
[1,1,0,1,0,0,1,0]=>1
[1,1,0,1,0,1,0,0]=>0
[1,1,0,1,1,0,0,0]=>1
[1,1,1,0,0,0,1,0]=>1
[1,1,1,0,0,1,0,0]=>1
[1,1,1,0,1,0,0,0]=>1
[1,1,1,1,0,0,0,0]=>1
[1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,0,1,1,0,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,0]=>1
[1,0,1,0,1,1,1,0,0,0]=>1
[1,0,1,1,0,0,1,0,1,0]=>2
[1,0,1,1,0,0,1,1,0,0]=>3
[1,0,1,1,0,1,0,0,1,0]=>2
[1,0,1,1,0,1,0,1,0,0]=>1
[1,0,1,1,0,1,1,0,0,0]=>2
[1,0,1,1,1,0,0,0,1,0]=>2
[1,0,1,1,1,0,0,1,0,0]=>1
[1,0,1,1,1,0,1,0,0,0]=>1
[1,0,1,1,1,1,0,0,0,0]=>1
[1,1,0,0,1,0,1,0,1,0]=>1
[1,1,0,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,1,0,0,1,0]=>3
[1,1,0,0,1,1,0,1,0,0]=>2
[1,1,0,0,1,1,1,0,0,0]=>2
[1,1,0,1,0,0,1,0,1,0]=>1
[1,1,0,1,0,0,1,1,0,0]=>2
[1,1,0,1,0,1,0,0,1,0]=>1
[1,1,0,1,0,1,0,1,0,0]=>0
[1,1,0,1,0,1,1,0,0,0]=>1
[1,1,0,1,1,0,0,0,1,0]=>1
[1,1,0,1,1,0,0,1,0,0]=>2
[1,1,0,1,1,0,1,0,0,0]=>1
[1,1,0,1,1,1,0,0,0,0]=>1
[1,1,1,0,0,0,1,0,1,0]=>1
[1,1,1,0,0,0,1,1,0,0]=>2
[1,1,1,0,0,1,0,0,1,0]=>2
[1,1,1,0,0,1,0,1,0,0]=>1
[1,1,1,0,0,1,1,0,0,0]=>2
[1,1,1,0,1,0,0,0,1,0]=>1
[1,1,1,0,1,0,0,1,0,0]=>1
[1,1,1,0,1,0,1,0,0,0]=>1
[1,1,1,0,1,1,0,0,0,0]=>1
[1,1,1,1,0,0,0,0,1,0]=>1
[1,1,1,1,0,0,0,1,0,0]=>1
[1,1,1,1,0,0,1,0,0,0]=>1
[1,1,1,1,0,1,0,0,0,0]=>1
[1,1,1,1,1,0,0,0,0,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,0,1,0,1,1,0,0,1,0]=>2
[1,0,1,0,1,0,1,1,0,1,0,0]=>1
[1,0,1,0,1,0,1,1,1,0,0,0]=>1
[1,0,1,0,1,1,0,0,1,0,1,0]=>2
[1,0,1,0,1,1,0,0,1,1,0,0]=>3
[1,0,1,0,1,1,0,1,0,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,1,0,0]=>1
[1,0,1,0,1,1,0,1,1,0,0,0]=>2
[1,0,1,0,1,1,1,0,0,0,1,0]=>2
[1,0,1,0,1,1,1,0,0,1,0,0]=>1
[1,0,1,0,1,1,1,0,1,0,0,0]=>1
[1,0,1,0,1,1,1,1,0,0,0,0]=>1
[1,0,1,1,0,0,1,0,1,0,1,0]=>2
[1,0,1,1,0,0,1,0,1,1,0,0]=>3
[1,0,1,1,0,0,1,1,0,0,1,0]=>4
[1,0,1,1,0,0,1,1,0,1,0,0]=>3
[1,0,1,1,0,0,1,1,1,0,0,0]=>3
[1,0,1,1,0,1,0,0,1,0,1,0]=>2
[1,0,1,1,0,1,0,0,1,1,0,0]=>3
[1,0,1,1,0,1,0,1,0,0,1,0]=>2
[1,0,1,1,0,1,0,1,0,1,0,0]=>1
[1,0,1,1,0,1,0,1,1,0,0,0]=>2
[1,0,1,1,0,1,1,0,0,0,1,0]=>2
[1,0,1,1,0,1,1,0,0,1,0,0]=>3
[1,0,1,1,0,1,1,0,1,0,0,0]=>2
[1,0,1,1,0,1,1,1,0,0,0,0]=>2
[1,0,1,1,1,0,0,0,1,0,1,0]=>2
[1,0,1,1,1,0,0,0,1,1,0,0]=>3
[1,0,1,1,1,0,0,1,0,0,1,0]=>2
[1,0,1,1,1,0,0,1,0,1,0,0]=>1
[1,0,1,1,1,0,0,1,1,0,0,0]=>2
[1,0,1,1,1,0,1,0,0,0,1,0]=>2
[1,0,1,1,1,0,1,0,0,1,0,0]=>1
[1,0,1,1,1,0,1,0,1,0,0,0]=>1
[1,0,1,1,1,0,1,1,0,0,0,0]=>1
[1,0,1,1,1,1,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,0,0,0,1,0,0]=>1
[1,0,1,1,1,1,0,0,1,0,0,0]=>2
[1,0,1,1,1,1,0,1,0,0,0,0]=>1
[1,0,1,1,1,1,1,0,0,0,0,0]=>1
[1,1,0,0,1,0,1,0,1,0,1,0]=>1
[1,1,0,0,1,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,0,1,1,0,0,1,0]=>3
[1,1,0,0,1,0,1,1,0,1,0,0]=>2
[1,1,0,0,1,0,1,1,1,0,0,0]=>2
[1,1,0,0,1,1,0,0,1,0,1,0]=>3
[1,1,0,0,1,1,0,0,1,1,0,0]=>4
[1,1,0,0,1,1,0,1,0,0,1,0]=>3
[1,1,0,0,1,1,0,1,0,1,0,0]=>2
[1,1,0,0,1,1,0,1,1,0,0,0]=>3
[1,1,0,0,1,1,1,0,0,0,1,0]=>3
[1,1,0,0,1,1,1,0,0,1,0,0]=>2
[1,1,0,0,1,1,1,0,1,0,0,0]=>2
[1,1,0,0,1,1,1,1,0,0,0,0]=>2
[1,1,0,1,0,0,1,0,1,0,1,0]=>1
[1,1,0,1,0,0,1,0,1,1,0,0]=>2
[1,1,0,1,0,0,1,1,0,0,1,0]=>3
[1,1,0,1,0,0,1,1,0,1,0,0]=>2
[1,1,0,1,0,0,1,1,1,0,0,0]=>2
[1,1,0,1,0,1,0,0,1,0,1,0]=>1
[1,1,0,1,0,1,0,0,1,1,0,0]=>2
[1,1,0,1,0,1,0,1,0,0,1,0]=>1
[1,1,0,1,0,1,0,1,0,1,0,0]=>0
[1,1,0,1,0,1,0,1,1,0,0,0]=>1
[1,1,0,1,0,1,1,0,0,0,1,0]=>1
[1,1,0,1,0,1,1,0,0,1,0,0]=>2
[1,1,0,1,0,1,1,0,1,0,0,0]=>1
[1,1,0,1,0,1,1,1,0,0,0,0]=>1
[1,1,0,1,1,0,0,0,1,0,1,0]=>1
[1,1,0,1,1,0,0,0,1,1,0,0]=>2
[1,1,0,1,1,0,0,1,0,0,1,0]=>3
[1,1,0,1,1,0,0,1,0,1,0,0]=>2
[1,1,0,1,1,0,0,1,1,0,0,0]=>2
[1,1,0,1,1,0,1,0,0,0,1,0]=>1
[1,1,0,1,1,0,1,0,0,1,0,0]=>2
[1,1,0,1,1,0,1,0,1,0,0,0]=>1
[1,1,0,1,1,0,1,1,0,0,0,0]=>2
[1,1,0,1,1,1,0,0,0,0,1,0]=>1
[1,1,0,1,1,1,0,0,0,1,0,0]=>2
[1,1,0,1,1,1,0,0,1,0,0,0]=>1
[1,1,0,1,1,1,0,1,0,0,0,0]=>1
[1,1,0,1,1,1,1,0,0,0,0,0]=>1
[1,1,1,0,0,0,1,0,1,0,1,0]=>1
[1,1,1,0,0,0,1,0,1,1,0,0]=>2
[1,1,1,0,0,0,1,1,0,0,1,0]=>3
[1,1,1,0,0,0,1,1,0,1,0,0]=>2
[1,1,1,0,0,0,1,1,1,0,0,0]=>2
[1,1,1,0,0,1,0,0,1,0,1,0]=>2
[1,1,1,0,0,1,0,0,1,1,0,0]=>3
[1,1,1,0,0,1,0,1,0,0,1,0]=>2
[1,1,1,0,0,1,0,1,0,1,0,0]=>1
[1,1,1,0,0,1,0,1,1,0,0,0]=>2
[1,1,1,0,0,1,1,0,0,0,1,0]=>2
[1,1,1,0,0,1,1,0,0,1,0,0]=>2
[1,1,1,0,0,1,1,0,1,0,0,0]=>2
[1,1,1,0,0,1,1,1,0,0,0,0]=>2
[1,1,1,0,1,0,0,0,1,0,1,0]=>1
[1,1,1,0,1,0,0,0,1,1,0,0]=>2
[1,1,1,0,1,0,0,1,0,0,1,0]=>2
[1,1,1,0,1,0,0,1,0,1,0,0]=>1
[1,1,1,0,1,0,0,1,1,0,0,0]=>2
[1,1,1,0,1,0,1,0,0,0,1,0]=>1
[1,1,1,0,1,0,1,0,0,1,0,0]=>1
[1,1,1,0,1,0,1,0,1,0,0,0]=>1
[1,1,1,0,1,0,1,1,0,0,0,0]=>1
[1,1,1,0,1,1,0,0,0,0,1,0]=>2
[1,1,1,0,1,1,0,0,0,1,0,0]=>1
[1,1,1,0,1,1,0,0,1,0,0,0]=>2
[1,1,1,0,1,1,0,1,0,0,0,0]=>1
[1,1,1,0,1,1,1,0,0,0,0,0]=>1
[1,1,1,1,0,0,0,0,1,0,1,0]=>1
[1,1,1,1,0,0,0,0,1,1,0,0]=>2
[1,1,1,1,0,0,0,1,0,0,1,0]=>2
[1,1,1,1,0,0,0,1,0,1,0,0]=>1
[1,1,1,1,0,0,0,1,1,0,0,0]=>2
[1,1,1,1,0,0,1,0,0,0,1,0]=>1
[1,1,1,1,0,0,1,0,0,1,0,0]=>2
[1,1,1,1,0,0,1,0,1,0,0,0]=>1
[1,1,1,1,0,0,1,1,0,0,0,0]=>2
[1,1,1,1,0,1,0,0,0,0,1,0]=>1
[1,1,1,1,0,1,0,0,0,1,0,0]=>1
[1,1,1,1,0,1,0,0,1,0,0,0]=>1
[1,1,1,1,0,1,0,1,0,0,0,0]=>1
[1,1,1,1,0,1,1,0,0,0,0,0]=>1
[1,1,1,1,1,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,0,0,0,0,1,0,0]=>1
[1,1,1,1,1,0,0,0,1,0,0,0]=>1
[1,1,1,1,1,0,0,1,0,0,0,0]=>1
[1,1,1,1,1,0,1,0,0,0,0,0]=>1
[1,1,1,1,1,1,0,0,0,0,0,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>2
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>1
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>2
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>1
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>3
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>3
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>1
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>2
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>2
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>3
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>2
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>2
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>2
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>1
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>2
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>2
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>1
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>1
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>1
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>1
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>2
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>1
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>3
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>4
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>3
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>4
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>3
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>3
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>2
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>3
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>4
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>3
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>3
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>2
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>3
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>2
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>1
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>2
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>2
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>3
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>2
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>2
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>2
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>3
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>4
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>3
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>3
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>2
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>3
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>2
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>3
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>2
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>3
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>2
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>2
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>2
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>3
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>2
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>3
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>2
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>1
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>2
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>2
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>3
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>2
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>2
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>2
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>3
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>2
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>1
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>2
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>2
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>1
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>1
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>1
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>2
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>1
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>2
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>1
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>1
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>2
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>1
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>2
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>2
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>3
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>2
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>2
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>1
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>2
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>1
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>2
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>1
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>2
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>1
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>1
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>1
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>3
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>2
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>2
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>3
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>4
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>3
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>2
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>3
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>3
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>2
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>2
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>2
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>3
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>4
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>5
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>4
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>4
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>3
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>4
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>3
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>2
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>3
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>3
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>4
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>3
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>3
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>3
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>4
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>3
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>2
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>3
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>3
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>2
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>2
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>2
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>3
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>2
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>3
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>2
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>1
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>2
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>3
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>2
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>2
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>3
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>4
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>3
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>2
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>3
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>3
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>2
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>2
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>1
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>2
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>3
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>2
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>2
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>1
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>2
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>1
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>0
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>1
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>2
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>1
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>1
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>1
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>2
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>3
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>2
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>2
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>1
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>2
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>1
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>2
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>1
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>2
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>1
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>1
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>1
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>1
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>2
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>3
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>2
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>2
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>3
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>4
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>3
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>2
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>3
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>3
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>2
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>2
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>2
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>1
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>2
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>3
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>2
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>2
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>1
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>2
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>1
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>2
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>3
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>2
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>2
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>2
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>2
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>1
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>2
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>3
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>2
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>2
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>1
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>2
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>1
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>2
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>1
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>2
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>1
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>1
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>1
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>1
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>2
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>1
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>2
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>1
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>1
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>2
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>3
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>2
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>2
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>3
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>3
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>2
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>3
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>3
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>2
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>2
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>2
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>2
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>3
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>4
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>3
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>3
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>2
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>3
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>2
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>1
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>2
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>2
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>3
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>2
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>2
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>2
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>3
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>3
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>2
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>3
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>2
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>2
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>2
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>2
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>2
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>2
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>2
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>2
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>2
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>1
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>2
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>3
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>2
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>2
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>2
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>3
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>2
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>1
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>2
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>2
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>2
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>2
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>2
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>1
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>2
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>2
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>1
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>2
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>1
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>1
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>1
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>1
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>2
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>1
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>2
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>1
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>1
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>2
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>3
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>2
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>1
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>2
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>2
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>2
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>2
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>2
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>2
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>1
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>2
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>1
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>2
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>2
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>1
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>2
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>1
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>1
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>1
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>1
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>2
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>3
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>2
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>2
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>3
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>2
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>1
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>2
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>2
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>2
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>2
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>2
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>1
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>2
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>3
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>2
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>2
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>1
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>2
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>1
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>2
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>2
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>2
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>2
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>2
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>2
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>1
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>2
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>2
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>1
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>2
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>1
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>2
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>1
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>2
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>1
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>1
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>1
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>1
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>1
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>1
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>2
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>1
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>2
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>1
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>1
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>2
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>1
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>2
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>1
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>2
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>1
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>2
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>2
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>1
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>2
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>1
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>2
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>1
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>1
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>1
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>1
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>1
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>1
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>2
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>1
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>2
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>1
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>3
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>2
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>3
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>2
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>1
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>2
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>2
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>3
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>2
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>2
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>2
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>1
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>2
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>2
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>1
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>1
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>1
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>1
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>2
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>1
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>3
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>4
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>3
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>4
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>3
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>3
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>3
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>4
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>3
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>3
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>3
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>1
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>2
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>3
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>2
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>2
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>2
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>3
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>4
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>3
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>3
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>2
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>3
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>2
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>3
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>2
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>3
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>2
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>2
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>2
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>3
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>2
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>3
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>2
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>1
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>2
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>2
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>3
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>2
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>2
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>2
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>3
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>2
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>1
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>2
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>2
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>1
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>1
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>1
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>2
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>1
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>2
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>1
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>1
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>2
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>1
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>2
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>2
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>3
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>2
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>2
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>2
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>1
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>2
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>1
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>2
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>1
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>2
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>1
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>1
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>3
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>4
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>3
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>4
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>3
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>3
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>5
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>4
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>5
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>4
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>3
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>4
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>4
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>5
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>4
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>4
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>4
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>3
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>4
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>4
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>3
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>3
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>3
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>3
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>4
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>3
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>2
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>3
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>4
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>3
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>3
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>4
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>5
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>4
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>3
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>4
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>4
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>3
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>3
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>3
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>2
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>3
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>4
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>3
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>3
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>2
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>3
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>2
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>2
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>2
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>3
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>2
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>2
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>2
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>3
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>4
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>3
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>3
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>2
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>3
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>2
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>3
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>2
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>3
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>2
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>2
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>2
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>2
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>3
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>4
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>3
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>3
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>4
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>5
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>4
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>3
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>4
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>4
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>3
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>3
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>3
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>2
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>3
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>4
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>3
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>3
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>2
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>3
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>2
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>3
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>4
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>3
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>3
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>3
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>3
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>2
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>3
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>4
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>3
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>3
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>2
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>3
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>2
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>3
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>2
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>3
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>2
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>2
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>2
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>2
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>3
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>2
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>3
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>2
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>2
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>3
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>4
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>3
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>4
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>3
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>3
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>2
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>3
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>4
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>3
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>3
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>2
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>3
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>2
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>1
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>2
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>2
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>3
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>2
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>2
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>2
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>3
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>4
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>3
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>3
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>2
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>3
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>2
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>3
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>2
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>3
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>2
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>2
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>2
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>2
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>3
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>4
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>3
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>3
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>2
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>3
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>2
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>1
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>2
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>2
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>3
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>2
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>2
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>2
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>3
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>2
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>1
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>2
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>2
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>1
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>1
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>1
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>2
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>1
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>2
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>1
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>1
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>2
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>3
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>2
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>1
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>2
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>2
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>3
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>2
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>2
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>2
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>1
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>2
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>1
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>2
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>2
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>1
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>2
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>1
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>1
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>1
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>3
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>3
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>2
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>1
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>2
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>2
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>3
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>2
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>2
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>2
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>3
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>4
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>3
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>3
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>2
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>3
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>2
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>3
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>3
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>2
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>2
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>2
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>2
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>3
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>2
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>1
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>2
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>2
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>3
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>2
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>2
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>1
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>2
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>1
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>2
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>3
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>2
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>2
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>2
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>2
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>1
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>2
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>2
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>3
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>2
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>2
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>1
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>2
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>1
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>2
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>1
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>2
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>1
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>1
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>1
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>1
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>2
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>1
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>2
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>1
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>3
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>2
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>3
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>4
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>3
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>2
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>3
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>3
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>2
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>2
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>2
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>3
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>4
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>5
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>4
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>4
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>3
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>4
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>3
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>2
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>3
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>3
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>4
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>3
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>3
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>3
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>4
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>3
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>2
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>3
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>3
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>2
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>2
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>2
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>3
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>3
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>2
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>2
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>3
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>4
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>5
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>4
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>4
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>5
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>5
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>4
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>5
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>5
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>4
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>4
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>4
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>3
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>4
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>5
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>4
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>4
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>3
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>4
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>3
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>2
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>3
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>3
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>4
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>3
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>3
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>3
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>4
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>5
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>4
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>4
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>3
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>4
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>3
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>4
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>3
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>4
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>3
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>3
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>3
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>3
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>4
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>5
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>4
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>4
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>3
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>4
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>3
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>2
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>3
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>3
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>4
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>3
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>3
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>3
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>4
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>3
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>2
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>3
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>3
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>2
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>2
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>2
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>3
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>2
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>3
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>2
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>2
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>3
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>4
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>3
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>2
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>4
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>3
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>3
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>3
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>2
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>3
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>2
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>3
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>3
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>2
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>2
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>2
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>1
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>2
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>3
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>2
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>2
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>3
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>4
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>3
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>2
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>3
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>3
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>2
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>2
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>2
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>3
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Description
The convexity degree of the parallelogram polyomino associated with the Dyck path.
A parallelogram polyomino is $k$-convex if $k$ is the maximal number of turns an axis-parallel path must take to connect two cells of the polyomino.
For example, any rotation of a Ferrers shape has convexity degree at most one.
The (bivariate) generating function is given in Theorem 2 of [1].
A parallelogram polyomino is $k$-convex if $k$ is the maximal number of turns an axis-parallel path must take to connect two cells of the polyomino.
For example, any rotation of a Ferrers shape has convexity degree at most one.
The (bivariate) generating function is given in Theorem 2 of [1].
References
[1] Battaglino, D., Fedou, J. M., Rinaldi, S., Socci, S. The number of $k$-parallelogram polyominoes MathSciNet:3091068
Code
def statistic(D): return ParallelogramPolyomino.from_dyck_word(D).degree_convexity()
Created
Nov 06, 2017 at 11:19 by Martin Rubey
Updated
Nov 06, 2017 at 16:06 by Martin Rubey
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