Identifier
- St001172: Dyck paths ⟶ ℤ
Values
=>
Cc0005;cc-rep
[1,0]=>0
[1,0,1,0]=>0
[1,1,0,0]=>0
[1,0,1,0,1,0]=>0
[1,0,1,1,0,0]=>0
[1,1,0,0,1,0]=>0
[1,1,0,1,0,0]=>1
[1,1,1,0,0,0]=>0
[1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,1,0,0]=>0
[1,0,1,1,0,0,1,0]=>0
[1,0,1,1,0,1,0,0]=>1
[1,0,1,1,1,0,0,0]=>0
[1,1,0,0,1,0,1,0]=>0
[1,1,0,0,1,1,0,0]=>0
[1,1,0,1,0,0,1,0]=>1
[1,1,0,1,0,1,0,0]=>2
[1,1,0,1,1,0,0,0]=>0
[1,1,1,0,0,0,1,0]=>0
[1,1,1,0,0,1,0,0]=>1
[1,1,1,0,1,0,0,0]=>0
[1,1,1,1,0,0,0,0]=>0
[1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,1,0,0]=>0
[1,0,1,0,1,1,0,0,1,0]=>0
[1,0,1,0,1,1,0,1,0,0]=>1
[1,0,1,0,1,1,1,0,0,0]=>0
[1,0,1,1,0,0,1,0,1,0]=>0
[1,0,1,1,0,0,1,1,0,0]=>0
[1,0,1,1,0,1,0,0,1,0]=>1
[1,0,1,1,0,1,0,1,0,0]=>2
[1,0,1,1,0,1,1,0,0,0]=>0
[1,0,1,1,1,0,0,0,1,0]=>0
[1,0,1,1,1,0,0,1,0,0]=>1
[1,0,1,1,1,0,1,0,0,0]=>0
[1,0,1,1,1,1,0,0,0,0]=>0
[1,1,0,0,1,0,1,0,1,0]=>0
[1,1,0,0,1,0,1,1,0,0]=>0
[1,1,0,0,1,1,0,0,1,0]=>0
[1,1,0,0,1,1,0,1,0,0]=>1
[1,1,0,0,1,1,1,0,0,0]=>0
[1,1,0,1,0,0,1,0,1,0]=>1
[1,1,0,1,0,0,1,1,0,0]=>1
[1,1,0,1,0,1,0,0,1,0]=>2
[1,1,0,1,0,1,0,1,0,0]=>3
[1,1,0,1,0,1,1,0,0,0]=>1
[1,1,0,1,1,0,0,0,1,0]=>0
[1,1,0,1,1,0,0,1,0,0]=>1
[1,1,0,1,1,0,1,0,0,0]=>0
[1,1,0,1,1,1,0,0,0,0]=>0
[1,1,1,0,0,0,1,0,1,0]=>0
[1,1,1,0,0,0,1,1,0,0]=>0
[1,1,1,0,0,1,0,0,1,0]=>1
[1,1,1,0,0,1,0,1,0,0]=>2
[1,1,1,0,0,1,1,0,0,0]=>0
[1,1,1,0,1,0,0,0,1,0]=>0
[1,1,1,0,1,0,0,1,0,0]=>1
[1,1,1,0,1,0,1,0,0,0]=>0
[1,1,1,0,1,1,0,0,0,0]=>0
[1,1,1,1,0,0,0,0,1,0]=>0
[1,1,1,1,0,0,0,1,0,0]=>1
[1,1,1,1,0,0,1,0,0,0]=>0
[1,1,1,1,0,1,0,0,0,0]=>1
[1,1,1,1,1,0,0,0,0,0]=>0
[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]=>0
[1,0,1,0,1,0,1,1,0,0,1,0]=>0
[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]=>0
[1,0,1,0,1,1,0,0,1,0,1,0]=>0
[1,0,1,0,1,1,0,0,1,1,0,0]=>0
[1,0,1,0,1,1,0,1,0,0,1,0]=>1
[1,0,1,0,1,1,0,1,0,1,0,0]=>2
[1,0,1,0,1,1,0,1,1,0,0,0]=>0
[1,0,1,0,1,1,1,0,0,0,1,0]=>0
[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]=>0
[1,0,1,0,1,1,1,1,0,0,0,0]=>0
[1,0,1,1,0,0,1,0,1,0,1,0]=>0
[1,0,1,1,0,0,1,0,1,1,0,0]=>0
[1,0,1,1,0,0,1,1,0,0,1,0]=>0
[1,0,1,1,0,0,1,1,0,1,0,0]=>1
[1,0,1,1,0,0,1,1,1,0,0,0]=>0
[1,0,1,1,0,1,0,0,1,0,1,0]=>1
[1,0,1,1,0,1,0,0,1,1,0,0]=>1
[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]=>3
[1,0,1,1,0,1,0,1,1,0,0,0]=>1
[1,0,1,1,0,1,1,0,0,0,1,0]=>0
[1,0,1,1,0,1,1,0,0,1,0,0]=>1
[1,0,1,1,0,1,1,0,1,0,0,0]=>0
[1,0,1,1,0,1,1,1,0,0,0,0]=>0
[1,0,1,1,1,0,0,0,1,0,1,0]=>0
[1,0,1,1,1,0,0,0,1,1,0,0]=>0
[1,0,1,1,1,0,0,1,0,0,1,0]=>1
[1,0,1,1,1,0,0,1,0,1,0,0]=>2
[1,0,1,1,1,0,0,1,1,0,0,0]=>0
[1,0,1,1,1,0,1,0,0,0,1,0]=>0
[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]=>0
[1,0,1,1,1,0,1,1,0,0,0,0]=>0
[1,0,1,1,1,1,0,0,0,0,1,0]=>0
[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]=>0
[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]=>0
[1,1,0,0,1,0,1,0,1,0,1,0]=>0
[1,1,0,0,1,0,1,0,1,1,0,0]=>0
[1,1,0,0,1,0,1,1,0,0,1,0]=>0
[1,1,0,0,1,0,1,1,0,1,0,0]=>1
[1,1,0,0,1,0,1,1,1,0,0,0]=>0
[1,1,0,0,1,1,0,0,1,0,1,0]=>0
[1,1,0,0,1,1,0,0,1,1,0,0]=>0
[1,1,0,0,1,1,0,1,0,0,1,0]=>1
[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]=>0
[1,1,0,0,1,1,1,0,0,0,1,0]=>0
[1,1,0,0,1,1,1,0,0,1,0,0]=>1
[1,1,0,0,1,1,1,0,1,0,0,0]=>0
[1,1,0,0,1,1,1,1,0,0,0,0]=>0
[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]=>1
[1,1,0,1,0,0,1,1,0,0,1,0]=>1
[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]=>1
[1,1,0,1,0,1,0,0,1,0,1,0]=>2
[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]=>3
[1,1,0,1,0,1,0,1,0,1,0,0]=>4
[1,1,0,1,0,1,0,1,1,0,0,0]=>2
[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]=>0
[1,1,0,1,1,0,0,0,1,1,0,0]=>0
[1,1,0,1,1,0,0,1,0,0,1,0]=>1
[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]=>0
[1,1,0,1,1,0,1,0,0,0,1,0]=>0
[1,1,0,1,1,0,1,0,0,1,0,0]=>1
[1,1,0,1,1,0,1,0,1,0,0,0]=>0
[1,1,0,1,1,0,1,1,0,0,0,0]=>0
[1,1,0,1,1,1,0,0,0,0,1,0]=>0
[1,1,0,1,1,1,0,0,0,1,0,0]=>1
[1,1,0,1,1,1,0,0,1,0,0,0]=>0
[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]=>0
[1,1,1,0,0,0,1,0,1,0,1,0]=>0
[1,1,1,0,0,0,1,0,1,1,0,0]=>0
[1,1,1,0,0,0,1,1,0,0,1,0]=>0
[1,1,1,0,0,0,1,1,0,1,0,0]=>1
[1,1,1,0,0,0,1,1,1,0,0,0]=>0
[1,1,1,0,0,1,0,0,1,0,1,0]=>1
[1,1,1,0,0,1,0,0,1,1,0,0]=>1
[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]=>3
[1,1,1,0,0,1,0,1,1,0,0,0]=>1
[1,1,1,0,0,1,1,0,0,0,1,0]=>0
[1,1,1,0,0,1,1,0,0,1,0,0]=>1
[1,1,1,0,0,1,1,0,1,0,0,0]=>0
[1,1,1,0,0,1,1,1,0,0,0,0]=>0
[1,1,1,0,1,0,0,0,1,0,1,0]=>0
[1,1,1,0,1,0,0,0,1,1,0,0]=>0
[1,1,1,0,1,0,0,1,0,0,1,0]=>1
[1,1,1,0,1,0,0,1,0,1,0,0]=>2
[1,1,1,0,1,0,0,1,1,0,0,0]=>0
[1,1,1,0,1,0,1,0,0,0,1,0]=>0
[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]=>0
[1,1,1,0,1,0,1,1,0,0,0,0]=>0
[1,1,1,0,1,1,0,0,0,0,1,0]=>0
[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]=>0
[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]=>0
[1,1,1,1,0,0,0,0,1,0,1,0]=>0
[1,1,1,1,0,0,0,0,1,1,0,0]=>0
[1,1,1,1,0,0,0,1,0,0,1,0]=>1
[1,1,1,1,0,0,0,1,0,1,0,0]=>2
[1,1,1,1,0,0,0,1,1,0,0,0]=>0
[1,1,1,1,0,0,1,0,0,0,1,0]=>0
[1,1,1,1,0,0,1,0,0,1,0,0]=>1
[1,1,1,1,0,0,1,0,1,0,0,0]=>0
[1,1,1,1,0,0,1,1,0,0,0,0]=>0
[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]=>2
[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]=>2
[1,1,1,1,0,1,1,0,0,0,0,0]=>0
[1,1,1,1,1,0,0,0,0,0,1,0]=>0
[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]=>0
[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]=>0
[1,1,1,1,1,1,0,0,0,0,0,0]=>0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>0
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>0
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>0
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>1
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>2
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>0
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>0
[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]=>0
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>0
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>0
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>0
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>1
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>0
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>1
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>1
[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]=>3
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>1
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>0
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>1
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>0
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>0
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>0
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>0
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>1
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>2
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>0
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>0
[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]=>0
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>0
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>0
[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]=>0
[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]=>0
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>0
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>0
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>1
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>0
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>0
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>1
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>2
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>0
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>0
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>1
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>0
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>0
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>1
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>1
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>1
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>2
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>1
[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]=>2
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>3
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>4
[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]=>1
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>2
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>1
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>1
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>0
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>0
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>1
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>2
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>0
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>0
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>1
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>0
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>0
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>0
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>1
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>0
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>1
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>0
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>0
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>0
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>0
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>1
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>0
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>1
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>1
[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]=>3
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>1
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>0
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>1
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>0
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>0
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>0
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>0
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>1
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>2
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>0
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>0
[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]=>0
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>0
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>0
[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]=>0
[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]=>0
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>0
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>0
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>1
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>2
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>0
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>0
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>1
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>0
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>0
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>1
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>2
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>1
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>2
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>0
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>0
[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]=>0
[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]=>0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>0
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>0
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>0
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>1
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>0
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>0
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>0
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>1
[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]=>0
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>0
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>1
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>0
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>0
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>0
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>0
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>0
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>1
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>0
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>1
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>1
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>2
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>3
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>1
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>0
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>1
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>0
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>0
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>0
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>0
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>1
[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]=>0
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>0
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>1
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>0
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>0
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>0
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>1
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>0
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>1
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>0
[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]=>1
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>1
[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]=>1
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>1
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>1
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>2
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>3
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>1
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>1
[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]=>1
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>1
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>2
[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]=>2
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>3
[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]=>3
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>3
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>4
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>5
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>3
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>2
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>3
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>2
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>2
[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]=>1
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>2
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>3
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>1
[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]=>1
[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]=>2
[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]=>0
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>0
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>0
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>1
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>0
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>1
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>1
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>2
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>3
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>1
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>0
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>1
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>0
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>0
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>0
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>0
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>1
[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]=>0
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>0
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>1
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>0
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>0
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>0
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>1
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>0
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>1
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>0
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>0
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>0
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>1
[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]=>0
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>0
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>1
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>0
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>0
[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]=>2
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>0
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>0
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>1
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>0
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>1
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>0
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>0
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>0
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>0
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>0
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>1
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>0
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>0
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>0
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>1
[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]=>0
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>0
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>1
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>0
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>0
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>1
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>1
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>1
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>2
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>1
[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]=>2
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>3
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>4
[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]=>1
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>2
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>1
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>1
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>0
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>0
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>1
[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]=>0
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>0
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>1
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>0
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>0
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>0
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>1
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>0
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>1
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>0
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>0
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>0
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>0
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>1
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>0
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>1
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>1
[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]=>3
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>1
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>0
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>1
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>0
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>0
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>0
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>0
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>1
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>2
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>0
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>0
[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]=>0
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>0
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>0
[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]=>0
[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]=>0
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>0
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>0
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>1
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>2
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>0
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>0
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>1
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>0
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>0
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>1
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>2
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>1
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>2
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>0
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>0
[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]=>0
[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]=>0
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>0
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>0
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>0
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>1
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>0
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>1
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>1
[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]=>3
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>1
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>0
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>1
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>0
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>0
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>0
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>0
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>1
[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]=>0
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>0
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>1
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>0
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>0
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>0
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>1
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>0
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>1
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>0
[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]=>1
[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]=>3
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>1
[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]=>1
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>2
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>3
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>2
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>3
[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]=>0
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>1
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>0
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>1
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>0
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>0
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>0
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>0
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>1
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>2
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>0
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>0
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>1
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>0
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>0
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>1
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>2
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>1
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>2
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>0
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>0
[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]=>0
[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]=>0
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>0
[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]=>0
[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]=>0
[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]=>0
[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]=>0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>0
[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]=>0
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>0
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>1
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>2
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>0
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>0
[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]=>0
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>0
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>0
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>0
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>1
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>0
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>1
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>1
[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]=>3
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>1
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>0
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>1
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>0
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>0
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>0
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>1
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>2
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>0
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>0
[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]=>0
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>0
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>0
[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]=>0
[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]=>0
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>0
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>0
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>1
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>0
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>0
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>0
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>1
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>2
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>0
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>0
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>1
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>0
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>0
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>1
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>1
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>1
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>2
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>1
[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]=>2
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>3
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>4
[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]=>1
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>2
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>1
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>1
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>0
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>0
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>1
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>2
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>0
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>0
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>1
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>0
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>0
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>0
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>1
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>0
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>1
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>0
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>0
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>0
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>1
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>0
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>1
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>1
[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]=>3
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>1
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>0
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>1
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>0
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>0
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>0
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>0
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>1
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>2
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>0
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>0
[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]=>0
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>0
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>0
[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]=>0
[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]=>0
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>0
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>0
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>1
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>2
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>0
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>0
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>1
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>0
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>0
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>1
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>2
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>1
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>2
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>0
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>0
[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]=>0
[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]=>0
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>0
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>0
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>0
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>1
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>0
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>0
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>0
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>1
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>2
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>0
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>0
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>1
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>0
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>0
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>0
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>0
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>1
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>0
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>1
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>1
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>2
[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]=>1
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>0
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>1
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>0
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>0
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>0
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>0
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>1
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>2
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>0
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>0
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>1
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>0
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>0
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>0
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>1
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>0
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>1
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>0
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>1
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>1
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>2
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>1
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>1
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>1
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>2
[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]=>1
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>1
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>2
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>1
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>1
[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]=>2
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>2
[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]=>2
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>3
[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]=>4
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>5
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>3
[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]=>1
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>1
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>2
[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]=>1
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>1
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>2
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>1
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>1
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>1
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>2
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>1
[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]=>1
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>0
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>0
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>0
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>1
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>0
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>1
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>1
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>2
[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]=>1
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>0
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>1
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>0
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>0
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>0
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>0
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>1
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>2
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>0
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>0
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>1
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>0
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>0
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>0
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>1
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>0
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>1
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>0
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>0
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>0
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>1
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>2
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>0
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>0
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>1
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>0
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>0
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>1
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>2
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>1
[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]=>0
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>0
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>1
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>0
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>1
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>0
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>0
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>0
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>0
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>1
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>0
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>0
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>0
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>1
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>2
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>0
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>0
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>1
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>0
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>0
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>1
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>1
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>1
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>2
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>1
[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]=>2
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>3
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>4
[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]=>1
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>2
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>1
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>1
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>0
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>0
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>1
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>2
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>0
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>0
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>1
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>0
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>0
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>0
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>1
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>0
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>1
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>0
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>0
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>0
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>0
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>1
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>0
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>1
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>1
[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]=>3
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>1
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>0
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>1
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>0
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>0
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>0
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>0
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>1
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>2
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>0
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>0
[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]=>0
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>0
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>0
[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]=>0
[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]=>0
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>0
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>0
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>1
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>2
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>0
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>0
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>1
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>0
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>0
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>1
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>2
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>1
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>2
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>0
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>0
[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]=>0
[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]=>0
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>0
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>0
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>0
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>0
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>1
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>0
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>1
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>1
[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]=>3
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>1
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>0
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>1
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>0
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>0
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>0
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>0
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>1
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>2
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>0
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>0
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>1
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>0
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>0
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>0
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>1
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>0
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>1
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>0
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>1
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>1
[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]=>3
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>1
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>1
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>2
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>1
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>1
[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]=>3
[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]=>3
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>1
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>0
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>1
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>0
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>1
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>0
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>0
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>0
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>0
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>1
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>2
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>0
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>0
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>1
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>0
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>0
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>1
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>2
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>1
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>2
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>0
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>0
[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]=>0
[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]=>0
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>0
[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]=>0
[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]=>0
[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]=>0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>0
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>0
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>0
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>0
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>1
[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]=>0
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>0
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>0
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>0
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>0
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>0
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>0
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>1
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>0
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>1
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>1
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>2
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>3
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>1
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>0
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>1
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>0
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>0
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>0
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>0
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>1
[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]=>0
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>0
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>1
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>0
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>0
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>0
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>1
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>0
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>1
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>0
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>0
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>0
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>0
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>1
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>0
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>0
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>1
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>2
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>0
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>0
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>1
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>0
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>0
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>1
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>1
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>1
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>2
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>1
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>2
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>2
[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]=>4
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>2
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>1
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>2
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>1
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>1
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>0
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>0
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>1
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>2
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>0
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>0
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>1
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>0
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>0
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>0
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>1
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>0
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>1
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>0
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>0
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>0
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>0
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>1
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>0
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>1
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>1
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>2
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>3
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>1
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>0
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>1
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>0
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>0
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>0
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>0
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>1
[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]=>0
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>0
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>1
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>0
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>0
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>0
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>1
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>0
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>1
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>0
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>0
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>0
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>1
[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]=>0
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>0
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>1
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>0
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>0
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>1
[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]=>1
[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]=>0
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>0
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>1
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>0
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>1
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>0
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>0
[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]=>1
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>1
[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]=>1
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>1
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>1
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>2
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>3
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>1
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>1
[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]=>1
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1
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Description
The number of 1-rises at odd height of a Dyck path.
References
[1] Sapounakis, A., Tasoulas, I., Tsikouras, P. Counting strings in Dyck paths MathSciNet:2371066
Code
def statistic(D): H = D.heights() res = 0 for i in range(len(H)-2): if is_odd(H[i]) and H[i-1] > H[i] < H[i+1] > H[i+2]: res += 1 return res
Created
Apr 28, 2018 at 18:50 by Martin Rubey
Updated
Apr 28, 2018 at 18:50 by Martin Rubey
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