Identifier
- St000980: 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]=>0
[1,1,0,0,1,0]=>0
[1,1,0,1,0,0]=>0
[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]=>0
[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]=>0
[1,1,0,1,0,1,0,0]=>0
[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]=>0
[1,1,1,0,1,0,0,0]=>1
[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]=>0
[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]=>0
[1,0,1,1,0,1,0,1,0,0]=>0
[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]=>0
[1,0,1,1,1,0,1,0,0,0]=>1
[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]=>0
[1,1,0,0,1,1,1,0,0,0]=>0
[1,1,0,1,0,0,1,0,1,0]=>0
[1,1,0,1,0,0,1,1,0,0]=>0
[1,1,0,1,0,1,0,0,1,0]=>0
[1,1,0,1,0,1,0,1,0,0]=>0
[1,1,0,1,0,1,1,0,0,0]=>0
[1,1,0,1,1,0,0,0,1,0]=>0
[1,1,0,1,1,0,0,1,0,0]=>0
[1,1,0,1,1,0,1,0,0,0]=>1
[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]=>0
[1,1,1,0,0,1,0,1,0,0]=>0
[1,1,1,0,0,1,1,0,0,0]=>0
[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]=>2
[1,1,1,0,1,1,0,0,0,0]=>1
[1,1,1,1,0,0,0,0,1,0]=>0
[1,1,1,1,0,0,0,1,0,0]=>0
[1,1,1,1,0,0,1,0,0,0]=>1
[1,1,1,1,0,1,0,0,0,0]=>3
[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]=>0
[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]=>0
[1,0,1,0,1,1,0,1,0,1,0,0]=>0
[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]=>0
[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]=>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]=>0
[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]=>0
[1,0,1,1,0,1,0,0,1,1,0,0]=>0
[1,0,1,1,0,1,0,1,0,0,1,0]=>0
[1,0,1,1,0,1,0,1,0,1,0,0]=>0
[1,0,1,1,0,1,0,1,1,0,0,0]=>0
[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]=>0
[1,0,1,1,0,1,1,0,1,0,0,0]=>1
[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]=>0
[1,0,1,1,1,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[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]=>0
[1,0,1,1,1,1,0,0,0,1,0,0]=>0
[1,0,1,1,1,1,0,0,1,0,0,0]=>1
[1,0,1,1,1,1,0,1,0,0,0,0]=>3
[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]=>0
[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]=>0
[1,1,0,0,1,1,0,1,0,1,0,0]=>0
[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]=>0
[1,1,0,0,1,1,1,0,1,0,0,0]=>1
[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]=>0
[1,1,0,1,0,0,1,0,1,1,0,0]=>0
[1,1,0,1,0,0,1,1,0,0,1,0]=>0
[1,1,0,1,0,0,1,1,0,1,0,0]=>0
[1,1,0,1,0,0,1,1,1,0,0,0]=>0
[1,1,0,1,0,1,0,0,1,0,1,0]=>0
[1,1,0,1,0,1,0,0,1,1,0,0]=>0
[1,1,0,1,0,1,0,1,0,0,1,0]=>0
[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]=>0
[1,1,0,1,0,1,1,0,0,0,1,0]=>0
[1,1,0,1,0,1,1,0,0,1,0,0]=>0
[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]=>0
[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]=>0
[1,1,0,1,1,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[1,1,0,1,1,0,1,1,0,0,0,0]=>1
[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]=>0
[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]=>3
[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]=>0
[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]=>0
[1,1,1,0,0,1,0,0,1,1,0,0]=>0
[1,1,1,0,0,1,0,1,0,0,1,0]=>0
[1,1,1,0,0,1,0,1,0,1,0,0]=>0
[1,1,1,0,0,1,0,1,1,0,0,0]=>0
[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]=>0
[1,1,1,0,0,1,1,0,1,0,0,0]=>1
[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]=>1
[1,1,1,0,1,0,0,0,1,1,0,0]=>1
[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]=>1
[1,1,1,0,1,0,0,1,1,0,0,0]=>1
[1,1,1,0,1,0,1,0,0,0,1,0]=>2
[1,1,1,0,1,0,1,0,0,1,0,0]=>2
[1,1,1,0,1,0,1,0,1,0,0,0]=>3
[1,1,1,0,1,0,1,1,0,0,0,0]=>2
[1,1,1,0,1,1,0,0,0,0,1,0]=>1
[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]=>4
[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]=>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]=>0
[1,1,1,1,0,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[1,1,1,1,0,0,1,1,0,0,0,0]=>1
[1,1,1,1,0,1,0,0,0,0,1,0]=>3
[1,1,1,1,0,1,0,0,0,1,0,0]=>3
[1,1,1,1,0,1,0,0,1,0,0,0]=>4
[1,1,1,1,0,1,0,1,0,0,0,0]=>5
[1,1,1,1,0,1,1,0,0,0,0,0]=>3
[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]=>0
[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]=>3
[1,1,1,1,1,0,1,0,0,0,0,0]=>6
[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]=>0
[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]=>0
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>0
[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]=>0
[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]=>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]=>0
[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]=>0
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>0
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>0
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>0
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>0
[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]=>0
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>1
[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]=>0
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[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]=>0
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>0
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>1
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>3
[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]=>0
[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]=>0
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>0
[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]=>0
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>1
[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]=>0
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>0
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>0
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>0
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>0
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>0
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>0
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>0
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>0
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>0
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>0
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>0
[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]=>0
[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]=>0
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>1
[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]=>0
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>1
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>3
[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]=>0
[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]=>0
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>0
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>0
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>0
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>0
[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]=>0
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>1
[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]=>1
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>1
[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]=>1
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>1
[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]=>2
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>3
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>2
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>1
[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]=>4
[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]=>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]=>0
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>1
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>3
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>3
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>4
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>5
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>3
[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]=>0
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>1
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>3
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>6
[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]=>0
[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]=>0
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>0
[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]=>0
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>1
[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]=>0
[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]=>0
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>0
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>0
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>0
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>0
[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]=>0
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>1
[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]=>0
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>1
[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]=>0
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>1
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>3
[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]=>0
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>0
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>0
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>0
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>0
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>0
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>0
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>0
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>0
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>0
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>0
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>0
[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]=>0
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>0
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>0
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>0
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>0
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>0
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>0
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>0
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>0
[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]=>0
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>0
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>0
[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]=>0
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>0
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>0
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>0
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>0
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>0
[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]=>1
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>2
[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]=>0
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>0
[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]=>3
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>0
[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]=>0
[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]=>0
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>0
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>0
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>0
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>0
[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]=>0
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>1
[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]=>1
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>1
[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]=>1
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>1
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>2
[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]=>3
[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]=>1
[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]=>2
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>4
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>1
[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]=>0
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>1
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>3
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>3
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>4
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>5
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>3
[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]=>0
[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]=>3
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>6
[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]=>0
[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]=>0
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>0
[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]=>0
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>1
[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]=>0
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>0
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>0
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>0
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>0
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>0
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>0
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>0
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>0
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>0
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>0
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>0
[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]=>0
[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]=>0
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>1
[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]=>0
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>1
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>3
[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]=>1
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>1
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>1
[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]=>1
[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]=>1
[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]=>1
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>1
[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]=>2
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>1
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>2
[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]=>2
[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]=>3
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>3
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>4
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>3
[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]=>2
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>3
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>5
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>2
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>1
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>1
[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]=>1
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>1
[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]=>3
[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]=>4
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>4
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>5
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>6
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>4
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>1
[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]=>4
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>7
[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]=>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]=>0
[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]=>0
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>0
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>0
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>0
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>0
[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]=>0
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>1
[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]=>1
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>1
[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]=>1
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>1
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>2
[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]=>3
[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]=>1
[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]=>2
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>4
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>1
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>3
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>3
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>3
[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]=>3
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>4
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>4
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>5
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>4
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>5
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>5
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>6
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>7
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>5
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>3
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>3
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>4
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>6
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>8
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>3
[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]=>0
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>1
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>3
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>3
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>4
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>5
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>3
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>6
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>6
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>7
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>8
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>9
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>6
[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]=>0
[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]=>3
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>6
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>10
[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]=>0
[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]=>0
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>0
[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]=>0
[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]=>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]=>0
[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]=>0
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>0
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>0
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>0
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>0
[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]=>0
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>1
[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]=>0
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[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]=>0
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>0
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>1
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>3
[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]=>0
[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]=>0
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>0
[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]=>0
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>1
[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]=>0
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>0
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>0
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>0
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>0
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>0
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>0
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>0
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>0
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>0
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>0
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>0
[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]=>0
[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]=>0
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>1
[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]=>0
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>1
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>3
[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]=>0
[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]=>0
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>0
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>0
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>0
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>0
[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]=>0
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>1
[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]=>1
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>1
[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]=>1
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>1
[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]=>2
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>3
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>2
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>1
[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]=>4
[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]=>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]=>0
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>1
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>3
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>3
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>4
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>5
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>3
[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]=>0
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>1
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>3
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>6
[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]=>0
[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]=>0
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>0
[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]=>0
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>1
[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]=>0
[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]=>0
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>0
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>0
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>0
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>0
[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]=>0
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>1
[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]=>0
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>1
[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]=>0
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>1
[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]=>0
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>0
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>0
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>0
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>0
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>0
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>0
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>0
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>0
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>0
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>0
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>0
[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]=>0
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>0
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>0
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>0
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>0
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>0
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>0
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>0
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>0
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>0
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>0
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>0
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>0
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>1
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>0
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>0
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>0
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>0
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>0
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>0
[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]=>1
[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]=>1
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>0
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>0
[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]=>3
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>0
[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]=>0
[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]=>0
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>0
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>0
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>0
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>0
[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]=>0
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>1
[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]=>1
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>1
[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]=>1
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>1
[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]=>2
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>3
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>2
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>1
[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]=>2
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>4
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>1
[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]=>0
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>1
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>3
[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]=>4
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>5
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>3
[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]=>0
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>1
[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]=>6
[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]=>0
[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]=>0
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>0
[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]=>0
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>1
[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]=>0
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>0
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>0
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>0
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>0
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>0
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>0
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>0
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>0
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>0
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>0
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>0
[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]=>0
[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]=>0
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>1
[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]=>0
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>1
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>3
[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]=>1
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>1
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>1
[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]=>1
[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]=>1
[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]=>1
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>1
[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]=>2
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>1
[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]=>2
[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]=>2
[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]=>3
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>3
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>4
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>3
[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]=>2
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>3
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>5
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>2
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>1
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>1
[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]=>1
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>1
[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]=>2
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>3
[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]=>4
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>4
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>5
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>6
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>4
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>1
[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]=>4
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>7
[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]=>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]=>0
[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]=>0
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>0
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>0
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>0
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>0
[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]=>0
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>1
[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]=>1
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>1
[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]=>1
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>1
[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]=>2
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>3
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>2
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>1
[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]=>2
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>4
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>1
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>3
[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]=>3
[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]=>3
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>4
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>4
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>5
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>4
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>5
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>5
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>6
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>7
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>5
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>3
[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]=>4
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>6
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>8
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>3
[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]=>0
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>1
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>3
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>3
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>4
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>5
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>3
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>6
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>6
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>7
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>8
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>9
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>6
[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]=>0
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>1
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>3
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>6
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>10
[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]=>0
[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]=>0
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>0
[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]=>0
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>1
[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]=>0
[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]=>0
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>0
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>0
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>0
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>0
[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]=>0
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>1
[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]=>0
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>1
[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]=>0
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>1
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>3
[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]=>0
[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]=>0
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>0
[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]=>0
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>1
[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]=>0
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>0
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>0
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>0
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>0
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>0
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>0
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>0
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>0
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>0
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>0
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>0
[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]=>0
[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]=>0
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>1
[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]=>0
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>1
[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]=>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]=>0
[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]=>0
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>0
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>0
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>0
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>0
[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]=>0
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>1
[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]=>1
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>1
[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]=>1
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>1
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>2
[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]=>3
[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]=>1
[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]=>2
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>4
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>1
[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]=>0
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>0
[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]=>1
[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]=>2
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>1
[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]=>3
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>4
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>5
[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]=>0
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>0
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>1
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>3
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>6
[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]=>0
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>0
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>0
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>0
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>0
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>0
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>0
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>0
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>0
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>0
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>0
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>0
[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]=>0
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>0
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Description
The number of boxes weakly below the path and above the diagonal that lie below at least two peaks.
For example, the path $111011010000$ has three peaks in positions $03, 15, 26$. The boxes below $03$ are $01,02,\textbf{12}$, the boxes below $15$ are $\textbf{12},13,14,\textbf{23},\textbf{24},\textbf{34}$, and the boxes below $26$ are $\textbf{23},\textbf{24},25,\textbf{34},35,45$.
We thus obtain the four boxes in positions $12,23,24,34$ that are below at least two peaks.
For example, the path $111011010000$ has three peaks in positions $03, 15, 26$. The boxes below $03$ are $01,02,\textbf{12}$, the boxes below $15$ are $\textbf{12},13,14,\textbf{23},\textbf{24},\textbf{34}$, and the boxes below $26$ are $\textbf{23},\textbf{24},25,\textbf{34},35,45$.
We thus obtain the four boxes in positions $12,23,24,34$ that are below at least two peaks.
Code
def cells(D): n = len(D)/2 + 1 a = list(reversed(D.reverse().to_area_sequence())) return [ (i,j) for j in range(1,n) for i in range(j) if j <= i+a[i]+1 ] def peaks(D): ps = [] for x in D.peaks(): x += 1 i = D[:x].count(0) j = x-i-1 if i < j: ps.append( (i,j) ) return ps def statistic(D): cs = cells(D) ps = peaks(D) return sum( 1 for c in cs if sum( 1 for p in ps if p[0] <= c[0] < c[1] <= p[1] ) > 1 )
Created
Sep 12, 2017 at 16:45 by Christian Stump
Updated
Sep 13, 2017 at 10:23 by Christian Stump
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