Identifier
- St000340: Dyck paths ⟶ ℤ
Values
=>
Cc0005;cc-rep
[1,0]=>0
[1,0,1,0]=>0
[1,1,0,0]=>1
[1,0,1,0,1,0]=>0
[1,0,1,1,0,0]=>1
[1,1,0,0,1,0]=>2
[1,1,0,1,0,0]=>1
[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]=>2
[1,1,0,0,1,1,0,0]=>3
[1,1,0,1,0,0,1,0]=>2
[1,1,0,1,0,1,0,0]=>1
[1,1,0,1,1,0,0,0]=>2
[1,1,1,0,0,0,1,0]=>2
[1,1,1,0,0,1,0,0]=>2
[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]=>2
[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]=>2
[1,1,0,0,1,0,1,1,0,0]=>3
[1,1,0,0,1,1,0,0,1,0]=>4
[1,1,0,0,1,1,0,1,0,0]=>3
[1,1,0,0,1,1,1,0,0,0]=>3
[1,1,0,1,0,0,1,0,1,0]=>2
[1,1,0,1,0,0,1,1,0,0]=>3
[1,1,0,1,0,1,0,0,1,0]=>2
[1,1,0,1,0,1,0,1,0,0]=>1
[1,1,0,1,0,1,1,0,0,0]=>2
[1,1,0,1,1,0,0,0,1,0]=>3
[1,1,0,1,1,0,0,1,0,0]=>3
[1,1,0,1,1,0,1,0,0,0]=>2
[1,1,0,1,1,1,0,0,0,0]=>2
[1,1,1,0,0,0,1,0,1,0]=>2
[1,1,1,0,0,0,1,1,0,0]=>3
[1,1,1,0,0,1,0,0,1,0]=>3
[1,1,1,0,0,1,0,1,0,0]=>2
[1,1,1,0,0,1,1,0,0,0]=>3
[1,1,1,0,1,0,0,0,1,0]=>2
[1,1,1,0,1,0,0,1,0,0]=>2
[1,1,1,0,1,0,1,0,0,0]=>1
[1,1,1,0,1,1,0,0,0,0]=>2
[1,1,1,1,0,0,0,0,1,0]=>2
[1,1,1,1,0,0,0,1,0,0]=>2
[1,1,1,1,0,0,1,0,0,0]=>2
[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]=>2
[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]=>3
[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]=>3
[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]=>3
[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]=>2
[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]=>2
[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]=>2
[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]=>2
[1,1,0,0,1,0,1,0,1,1,0,0]=>3
[1,1,0,0,1,0,1,1,0,0,1,0]=>4
[1,1,0,0,1,0,1,1,0,1,0,0]=>3
[1,1,0,0,1,0,1,1,1,0,0,0]=>3
[1,1,0,0,1,1,0,0,1,0,1,0]=>4
[1,1,0,0,1,1,0,0,1,1,0,0]=>5
[1,1,0,0,1,1,0,1,0,0,1,0]=>4
[1,1,0,0,1,1,0,1,0,1,0,0]=>3
[1,1,0,0,1,1,0,1,1,0,0,0]=>4
[1,1,0,0,1,1,1,0,0,0,1,0]=>4
[1,1,0,0,1,1,1,0,0,1,0,0]=>4
[1,1,0,0,1,1,1,0,1,0,0,0]=>3
[1,1,0,0,1,1,1,1,0,0,0,0]=>3
[1,1,0,1,0,0,1,0,1,0,1,0]=>2
[1,1,0,1,0,0,1,0,1,1,0,0]=>3
[1,1,0,1,0,0,1,1,0,0,1,0]=>4
[1,1,0,1,0,0,1,1,0,1,0,0]=>3
[1,1,0,1,0,0,1,1,1,0,0,0]=>3
[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]=>3
[1,1,0,1,0,1,0,1,0,0,1,0]=>2
[1,1,0,1,0,1,0,1,0,1,0,0]=>1
[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]=>3
[1,1,0,1,0,1,1,0,0,1,0,0]=>3
[1,1,0,1,0,1,1,0,1,0,0,0]=>2
[1,1,0,1,0,1,1,1,0,0,0,0]=>2
[1,1,0,1,1,0,0,0,1,0,1,0]=>3
[1,1,0,1,1,0,0,0,1,1,0,0]=>4
[1,1,0,1,1,0,0,1,0,0,1,0]=>4
[1,1,0,1,1,0,0,1,0,1,0,0]=>3
[1,1,0,1,1,0,0,1,1,0,0,0]=>4
[1,1,0,1,1,0,1,0,0,0,1,0]=>3
[1,1,0,1,1,0,1,0,0,1,0,0]=>3
[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]=>3
[1,1,0,1,1,1,0,0,0,0,1,0]=>3
[1,1,0,1,1,1,0,0,0,1,0,0]=>3
[1,1,0,1,1,1,0,0,1,0,0,0]=>3
[1,1,0,1,1,1,0,1,0,0,0,0]=>2
[1,1,0,1,1,1,1,0,0,0,0,0]=>2
[1,1,1,0,0,0,1,0,1,0,1,0]=>2
[1,1,1,0,0,0,1,0,1,1,0,0]=>3
[1,1,1,0,0,0,1,1,0,0,1,0]=>4
[1,1,1,0,0,0,1,1,0,1,0,0]=>3
[1,1,1,0,0,0,1,1,1,0,0,0]=>3
[1,1,1,0,0,1,0,0,1,0,1,0]=>3
[1,1,1,0,0,1,0,0,1,1,0,0]=>4
[1,1,1,0,0,1,0,1,0,0,1,0]=>3
[1,1,1,0,0,1,0,1,0,1,0,0]=>2
[1,1,1,0,0,1,0,1,1,0,0,0]=>3
[1,1,1,0,0,1,1,0,0,0,1,0]=>4
[1,1,1,0,0,1,1,0,0,1,0,0]=>4
[1,1,1,0,0,1,1,0,1,0,0,0]=>3
[1,1,1,0,0,1,1,1,0,0,0,0]=>3
[1,1,1,0,1,0,0,0,1,0,1,0]=>2
[1,1,1,0,1,0,0,0,1,1,0,0]=>3
[1,1,1,0,1,0,0,1,0,0,1,0]=>3
[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]=>3
[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]=>1
[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]=>3
[1,1,1,0,1,1,0,0,0,1,0,0]=>3
[1,1,1,0,1,1,0,0,1,0,0,0]=>3
[1,1,1,0,1,1,0,1,0,0,0,0]=>2
[1,1,1,0,1,1,1,0,0,0,0,0]=>2
[1,1,1,1,0,0,0,0,1,0,1,0]=>2
[1,1,1,1,0,0,0,0,1,1,0,0]=>3
[1,1,1,1,0,0,0,1,0,0,1,0]=>3
[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]=>3
[1,1,1,1,0,0,1,0,0,0,1,0]=>3
[1,1,1,1,0,0,1,0,0,1,0,0]=>3
[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]=>3
[1,1,1,1,0,1,0,0,0,0,1,0]=>2
[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]=>2
[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]=>2
[1,1,1,1,1,0,0,0,0,0,1,0]=>2
[1,1,1,1,1,0,0,0,0,1,0,0]=>2
[1,1,1,1,1,0,0,0,1,0,0,0]=>2
[1,1,1,1,1,0,0,1,0,0,0,0]=>2
[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]=>2
[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]=>3
[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]=>3
[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]=>3
[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]=>2
[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]=>2
[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]=>2
[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]=>4
[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]=>3
[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]=>3
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>4
[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]=>4
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>3
[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]=>3
[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]=>3
[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]=>3
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>4
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>3
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>2
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>3
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>4
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>4
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>3
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>3
[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]=>3
[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]=>3
[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]=>1
[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]=>3
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>3
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>3
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>2
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>2
[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]=>3
[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]=>3
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3
[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]=>3
[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]=>2
[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]=>2
[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]=>2
[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]=>2
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>3
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>4
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>3
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>4
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>4
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>3
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>5
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>4
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>5
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>4
[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]=>4
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>5
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>5
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>4
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>4
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>5
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>4
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>5
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>4
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>4
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>3
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>4
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>4
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>4
[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]=>3
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>2
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>3
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>4
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>3
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>3
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>4
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>5
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>4
[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]=>4
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>4
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>4
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>3
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>3
[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]=>3
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>4
[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]=>3
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>2
[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]=>2
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>2
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>3
[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]=>3
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>4
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>4
[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]=>4
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>3
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>3
[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]=>3
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>3
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>3
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>3
[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]=>2
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>3
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>4
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>5
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>4
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>4
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>4
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>5
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>4
[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]=>4
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>5
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>5
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>4
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>4
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>3
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>4
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>4
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>3
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>4
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>3
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>3
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>2
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>3
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>4
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>4
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>4
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>3
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>3
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>3
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>4
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>4
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>3
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>4
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>4
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>4
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>3
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>4
[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]=>3
[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]=>3
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>3
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>3
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>3
[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]=>2
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>2
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>3
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>4
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>3
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>4
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>4
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>3
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>3
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>4
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>5
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>4
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>4
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>3
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>4
[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]=>2
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>3
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>4
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>4
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>3
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>3
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>4
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>5
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>5
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>4
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>5
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>4
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>4
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>3
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>4
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>4
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>4
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>4
[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]=>3
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>2
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>3
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>4
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>3
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>3
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>3
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>4
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>3
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>2
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>3
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>4
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>4
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>3
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>3
[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]=>3
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>3
[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]=>3
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>2
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>2
[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]=>2
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>3
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>3
[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]=>2
[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]=>3
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>4
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>4
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>3
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>4
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>4
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>4
[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]=>4
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>3
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>3
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>3
[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]=>3
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>3
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>3
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>3
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>3
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>2
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>2
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>3
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>3
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>4
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>3
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>2
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>3
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>4
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>4
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>3
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>3
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>3
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>4
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>4
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>3
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>4
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>3
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>3
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>2
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>3
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>4
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>4
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>4
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>3
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>3
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>2
[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]=>2
[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]=>3
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>3
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>2
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>3
[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]=>2
[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]=>1
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>2
[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]=>3
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>3
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>2
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>2
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>3
[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]=>3
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>3
[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]=>3
[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]=>3
[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]=>3
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>2
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>2
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>2
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>2
[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]=>2
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>2
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>2
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>2
[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]=>2
[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]=>3
[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]=>3
[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]=>3
[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]=>2
[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]=>2
[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]=>2
[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]=>4
[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]=>3
[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]=>3
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>4
[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]=>4
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>3
[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]=>3
[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]=>3
[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]=>3
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>4
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>3
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>2
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>3
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>4
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>4
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>3
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>3
[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]=>3
[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]=>3
[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]=>1
[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]=>3
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>3
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>3
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>2
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>2
[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]=>3
[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]=>3
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3
[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]=>3
[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]=>2
[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]=>2
[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]=>2
[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]=>4
[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]=>5
[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]=>5
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>4
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>5
[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]=>4
[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]=>4
[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]=>4
[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]=>4
[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]=>3
[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]=>3
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>4
[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]=>4
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>3
[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]=>3
[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]=>3
[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]=>3
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>4
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>5
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>4
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>4
[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]=>5
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>5
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>4
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>4
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>3
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>4
[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]=>4
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>3
[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]=>4
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>4
[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]=>3
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>4
[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]=>4
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>4
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>4
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>3
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>4
[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]=>3
[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]=>3
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>3
[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]=>3
[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]=>4
[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]=>3
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>4
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>5
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>4
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>4
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>3
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>4
[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]=>2
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>3
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>4
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>4
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>3
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>3
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>4
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>5
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>5
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>4
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>5
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>4
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>4
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>3
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>4
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>4
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>4
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>4
[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]=>3
[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]=>3
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>4
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>3
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>2
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>3
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>4
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>4
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>3
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>3
[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]=>3
[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]=>3
[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]=>2
[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]=>2
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>3
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>3
[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]=>2
[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]=>3
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>4
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>4
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>3
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>4
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>4
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>4
[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]=>4
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>3
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>3
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>3
[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]=>3
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>3
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>3
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>3
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>3
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>2
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>2
[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]=>3
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>4
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>3
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>2
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>3
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>4
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>4
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>3
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>3
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>3
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>4
[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]=>4
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>3
[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]=>4
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>4
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>4
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>3
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>3
[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]=>3
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>2
[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]=>3
[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]=>3
[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]=>2
[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]=>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]=>3
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>3
[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]=>3
[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]=>3
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3
[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]=>3
[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]=>3
[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]=>3
[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]=>2
[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]=>2
[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]=>2
[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]=>2
[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]=>2
[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]=>2
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>3
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>4
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>3
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>4
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>4
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>3
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>5
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>4
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>5
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>4
[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]=>4
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>5
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>5
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>4
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>4
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>5
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>4
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>5
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>4
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>4
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>3
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>4
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>4
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>4
[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]=>3
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>5
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>6
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>5
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>6
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>6
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>5
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>4
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>5
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>6
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>5
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>5
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>4
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>5
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>4
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>3
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>4
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>5
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>5
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>4
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>4
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>5
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>6
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>6
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>5
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>6
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>5
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>5
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>4
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>5
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>5
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>5
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>5
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>4
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>4
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>5
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>5
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>6
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>5
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>4
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>5
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>6
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>6
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>5
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>5
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>4
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>5
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>5
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>4
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>5
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>4
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>4
[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]=>4
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>5
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>5
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>5
[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]=>4
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>5
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>5
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>5
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>5
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>4
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>5
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>4
[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]=>3
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>4
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>4
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>4
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>3
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>3
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>4
[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]=>4
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>4
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>3
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3
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Description
The number of non-final maximal constant sub-paths of length greater than one.
This is the total number of occurrences of the patterns $110$ and $001$.
This is the total number of occurrences of the patterns $110$ and $001$.
References
[1] Sulanke, R. A. Catalan path statistics having the Narayana distribution MathSciNet:1603692 DOI:10.1016/s0012-365x(97)00126-x
Code
def statistic(x):
return sum(1 for i in range(len(x)-2) if x[i:i+3] in [[1,1,0], [0,0,1]])
Created
Dec 18, 2015 at 17:59 by Veronica Waite
Updated
Feb 19, 2020 at 16:01 by Martin Rubey
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