Identifier
- St000445: Dyck paths ⟶ ℤ
Values
=>
Cc0005;cc-rep
[]=>0
[1,0]=>1
[1,0,1,0]=>2
[1,1,0,0]=>0
[1,0,1,0,1,0]=>3
[1,0,1,1,0,0]=>1
[1,1,0,0,1,0]=>1
[1,1,0,1,0,0]=>1
[1,1,1,0,0,0]=>0
[1,0,1,0,1,0,1,0]=>4
[1,0,1,0,1,1,0,0]=>2
[1,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,1,0,0]=>2
[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]=>0
[1,1,0,1,0,0,1,0]=>2
[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]=>1
[1,1,1,0,0,1,0,0]=>1
[1,1,1,0,1,0,0,0]=>1
[1,1,1,1,0,0,0,0]=>0
[1,0,1,0,1,0,1,0,1,0]=>5
[1,0,1,0,1,0,1,1,0,0]=>3
[1,0,1,0,1,1,0,0,1,0]=>3
[1,0,1,0,1,1,0,1,0,0]=>3
[1,0,1,0,1,1,1,0,0,0]=>2
[1,0,1,1,0,0,1,0,1,0]=>3
[1,0,1,1,0,0,1,1,0,0]=>1
[1,0,1,1,0,1,0,0,1,0]=>3
[1,0,1,1,0,1,0,1,0,0]=>3
[1,0,1,1,0,1,1,0,0,0]=>1
[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]=>2
[1,0,1,1,1,1,0,0,0,0]=>1
[1,1,0,0,1,0,1,0,1,0]=>3
[1,1,0,0,1,0,1,1,0,0]=>1
[1,1,0,0,1,1,0,0,1,0]=>1
[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]=>3
[1,1,0,1,0,0,1,1,0,0]=>1
[1,1,0,1,0,1,0,0,1,0]=>3
[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]=>1
[1,1,0,1,1,0,0,1,0,0]=>1
[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]=>2
[1,1,1,0,0,0,1,1,0,0]=>0
[1,1,1,0,0,1,0,0,1,0]=>2
[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]=>2
[1,1,1,0,1,0,0,1,0,0]=>2
[1,1,1,0,1,0,1,0,0,0]=>2
[1,1,1,0,1,1,0,0,0,0]=>0
[1,1,1,1,0,0,0,0,1,0]=>1
[1,1,1,1,0,0,0,1,0,0]=>1
[1,1,1,1,0,0,1,0,0,0]=>1
[1,1,1,1,0,1,0,0,0,0]=>1
[1,1,1,1,1,0,0,0,0,0]=>0
[1,0,1,0,1,0,1,0,1,0,1,0]=>6
[1,0,1,0,1,0,1,0,1,1,0,0]=>4
[1,0,1,0,1,0,1,1,0,0,1,0]=>4
[1,0,1,0,1,0,1,1,0,1,0,0]=>4
[1,0,1,0,1,0,1,1,1,0,0,0]=>3
[1,0,1,0,1,1,0,0,1,0,1,0]=>4
[1,0,1,0,1,1,0,0,1,1,0,0]=>2
[1,0,1,0,1,1,0,1,0,0,1,0]=>4
[1,0,1,0,1,1,0,1,0,1,0,0]=>4
[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]=>3
[1,0,1,0,1,1,1,0,0,1,0,0]=>3
[1,0,1,0,1,1,1,0,1,0,0,0]=>3
[1,0,1,0,1,1,1,1,0,0,0,0]=>2
[1,0,1,1,0,0,1,0,1,0,1,0]=>4
[1,0,1,1,0,0,1,0,1,1,0,0]=>2
[1,0,1,1,0,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,0,1,1,0,1,0,0]=>2
[1,0,1,1,0,0,1,1,1,0,0,0]=>1
[1,0,1,1,0,1,0,0,1,0,1,0]=>4
[1,0,1,1,0,1,0,0,1,1,0,0]=>2
[1,0,1,1,0,1,0,1,0,0,1,0]=>4
[1,0,1,1,0,1,0,1,0,1,0,0]=>4
[1,0,1,1,0,1,0,1,1,0,0,0]=>2
[1,0,1,1,0,1,1,0,0,0,1,0]=>2
[1,0,1,1,0,1,1,0,0,1,0,0]=>2
[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]=>1
[1,0,1,1,1,0,0,0,1,0,1,0]=>3
[1,0,1,1,1,0,0,0,1,1,0,0]=>1
[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]=>3
[1,0,1,1,1,0,0,1,1,0,0,0]=>1
[1,0,1,1,1,0,1,0,0,0,1,0]=>3
[1,0,1,1,1,0,1,0,0,1,0,0]=>3
[1,0,1,1,1,0,1,0,1,0,0,0]=>3
[1,0,1,1,1,0,1,1,0,0,0,0]=>1
[1,0,1,1,1,1,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,0,0,0,1,0,0]=>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]=>2
[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]=>4
[1,1,0,0,1,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,0,1,1,0,0,1,0]=>2
[1,1,0,0,1,0,1,1,0,1,0,0]=>2
[1,1,0,0,1,0,1,1,1,0,0,0]=>1
[1,1,0,0,1,1,0,0,1,0,1,0]=>2
[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]=>2
[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]=>1
[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]=>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]=>4
[1,1,0,1,0,0,1,0,1,1,0,0]=>2
[1,1,0,1,0,0,1,1,0,0,1,0]=>2
[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]=>4
[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]=>4
[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]=>2
[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]=>2
[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]=>2
[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]=>2
[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]=>2
[1,1,0,1,1,0,1,0,0,1,0,0]=>2
[1,1,0,1,1,0,1,0,1,0,0,0]=>2
[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]=>1
[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]=>1
[1,1,0,1,1,1,0,1,0,0,0,0]=>1
[1,1,0,1,1,1,1,0,0,0,0,0]=>0
[1,1,1,0,0,0,1,0,1,0,1,0]=>3
[1,1,1,0,0,0,1,0,1,1,0,0]=>1
[1,1,1,0,0,0,1,1,0,0,1,0]=>1
[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]=>3
[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]=>3
[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]=>1
[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]=>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]=>3
[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]=>3
[1,1,1,0,1,0,0,1,0,1,0,0]=>3
[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]=>3
[1,1,1,0,1,0,1,0,0,1,0,0]=>3
[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]=>1
[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]=>1
[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]=>2
[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]=>2
[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]=>2
[1,1,1,1,0,0,1,0,0,1,0,0]=>2
[1,1,1,1,0,0,1,0,1,0,0,0]=>2
[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]=>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]=>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]=>1
[1,1,1,1,1,0,0,0,0,1,0,0]=>1
[1,1,1,1,1,0,0,0,1,0,0,0]=>1
[1,1,1,1,1,0,0,1,0,0,0,0]=>1
[1,1,1,1,1,0,1,0,0,0,0,0]=>1
[1,1,1,1,1,1,0,0,0,0,0,0]=>0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>7
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>5
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>5
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>5
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>4
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>5
[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]=>5
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>5
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>3
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>4
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>4
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>5
[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]=>3
[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]=>2
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>5
[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]=>5
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>5
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>3
[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]=>3
[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]=>4
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>2
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>4
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>4
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>2
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>4
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>4
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>4
[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]=>3
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>3
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>3
[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]=>2
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>5
[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]=>3
[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]=>2
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>3
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>3
[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]=>1
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>2
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>2
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>2
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>5
[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]=>3
[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]=>2
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>5
[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]=>5
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>5
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>3
[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]=>3
[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]=>1
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>3
[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]=>1
[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]=>3
[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]=>2
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>2
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>2
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>2
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>1
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>2
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>2
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>2
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>1
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>4
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>2
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>4
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>4
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>2
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>2
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>2
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>2
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>1
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>4
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>2
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>4
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>4
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>2
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>4
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>4
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>4
[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]=>2
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>2
[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]=>2
[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]=>3
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1
[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]=>3
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>1
[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]=>3
[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]=>3
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>3
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>1
[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]=>2
[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]=>5
[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]=>3
[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]=>2
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>3
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>1
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>3
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>3
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>1
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>2
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>2
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>2
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>3
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>1
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>1
[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]=>3
[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]=>3
[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]=>1
[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]=>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]=>2
[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]=>2
[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]=>2
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>2
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>2
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>0
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>1
[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]=>1
[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]=>5
[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]=>3
[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]=>2
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>3
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>1
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>3
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>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]=>2
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>2
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>2
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>1
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>5
[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]=>3
[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]=>5
[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]=>5
[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]=>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]=>3
[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]=>1
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>3
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>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]=>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]=>3
[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]=>2
[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]=>2
[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]=>3
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>1
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>1
[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]=>3
[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]=>3
[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]=>1
[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]=>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]=>3
[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]=>3
[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]=>1
[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]=>3
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>1
[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]=>1
[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]=>2
[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]=>2
[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]=>2
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>2
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>2
[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]=>2
[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]=>2
[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]=>1
[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]=>1
[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]=>1
[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]=>4
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>2
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>2
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>2
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>1
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>2
[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]=>2
[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]=>1
[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]=>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]=>4
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>2
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>2
[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]=>4
[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]=>4
[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]=>2
[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]=>2
[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]=>2
[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]=>2
[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]=>2
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>2
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>2
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>0
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>1
[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]=>1
[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]=>4
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>2
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>2
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>2
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>1
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>4
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>2
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>4
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>4
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>2
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>2
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>2
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>2
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>1
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>4
[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]=>4
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>4
[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]=>4
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>4
[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]=>2
[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]=>2
[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]=>1
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>2
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>0
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>2
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>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]=>2
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>2
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>2
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>0
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>2
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>2
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>2
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>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]=>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]=>1
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>1
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>1
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>3
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>1
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>1
[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]=>3
[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]=>3
[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]=>1
[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]=>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]=>3
[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]=>3
[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]=>1
[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]=>3
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>1
[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]=>1
[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]=>3
[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]=>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]=>1
[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]=>3
[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]=>3
[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]=>3
[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]=>1
[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]=>1
[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]=>1
[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]=>2
[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]=>2
[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]=>2
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>2
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>2
[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]=>2
[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]=>2
[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]=>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]=>2
[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]=>1
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>1
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>1
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>8
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>6
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>6
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>6
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>5
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>6
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>4
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>6
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>6
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>4
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>5
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>5
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>5
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>4
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>6
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>4
[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]=>4
[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]=>6
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>4
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>6
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>6
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>4
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>4
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>4
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>4
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>3
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>5
[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]=>5
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>5
[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]=>5
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>5
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>5
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>3
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>4
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>4
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>6
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>4
[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]=>4
[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]=>2
[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]=>4
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>2
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>3
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>3
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>3
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>2
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>6
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>4
[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]=>4
[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]=>6
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>4
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>6
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>6
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>4
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>4
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>4
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>4
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>3
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>4
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>2
[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]=>4
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>2
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>4
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>4
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>4
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>2
[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]=>3
[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]=>5
[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]=>3
[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]=>2
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>5
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>3
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>5
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>5
[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]=>3
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>3
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>3
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>2
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>5
[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]=>5
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>5
[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]=>5
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>5
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>5
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>3
[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]=>3
[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]=>4
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>2
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>4
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>2
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>4
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>4
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>4
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>2
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>4
[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]=>4
[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]=>3
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>3
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3
[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]=>3
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>2
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>6
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>4
[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]=>4
[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]=>2
[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]=>4
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>2
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>3
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>3
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>3
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>2
[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]=>2
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>2
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>1
[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]=>2
[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]=>4
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>2
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>2
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>2
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>2
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>1
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>3
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>1
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>3
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>3
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>1
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>3
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>3
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>3
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>1
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>2
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>2
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>2
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>2
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>6
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>4
[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]=>4
[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]=>2
[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]=>4
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>2
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>3
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>3
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>3
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>6
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>4
[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]=>4
[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]=>6
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>4
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>6
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>6
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>4
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>4
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>4
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>4
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>3
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>4
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>2
[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]=>4
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>2
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>4
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>4
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>4
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>2
[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]=>3
[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]=>4
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>2
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>2
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>1
[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]=>2
[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]=>4
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>2
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>2
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>2
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>2
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>1
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>4
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>2
[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]=>4
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>2
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>4
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>4
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>4
[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]=>2
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>2
[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]=>2
[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]=>3
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>1
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>3
[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]=>1
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>3
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>3
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>3
[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]=>3
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>3
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>1
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>2
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>2
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>2
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>2
[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]=>1
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>5
[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]=>3
[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]=>2
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>3
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>1
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>3
[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]=>1
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>2
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>2
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>2
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>5
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>3
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>3
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>3
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>2
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>5
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>3
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>5
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>5
[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]=>3
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>3
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>3
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>2
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>3
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>1
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>3
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>3
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>1
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>3
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>3
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>3
[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]=>2
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>2
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>2
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>2
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>1
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>5
[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]=>3
[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]=>2
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>5
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>3
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>5
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>5
[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]=>3
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>3
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>3
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>2
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>5
[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]=>5
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>5
[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]=>5
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>5
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>5
[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]=>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]=>3
[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]=>1
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>3
[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]=>1
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>3
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>3
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>3
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>1
[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]=>3
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>1
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>2
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>2
[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]=>2
[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]=>1
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>4
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>2
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>2
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>2
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>4
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>2
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>4
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>4
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>2
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>2
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>2
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>2
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>1
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>4
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>2
[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]=>4
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>2
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>4
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>4
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>4
[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]=>2
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>2
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>2
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>2
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>1
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>4
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>2
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>4
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>4
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>2
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>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]=>4
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>2
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>4
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>4
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>4
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>4
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>2
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>2
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>2
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>2
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>2
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>1
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>3
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1
[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]=>3
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>1
[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]=>3
[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]=>3
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>3
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>1
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>3
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>3
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>3
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>3
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>3
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>1
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>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]=>2
[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]=>6
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>4
[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]=>4
[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]=>2
[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]=>4
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>2
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>3
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>3
[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]=>2
[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]=>2
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>2
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>2
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>1
[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]=>2
[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]=>4
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>2
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>2
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>2
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>2
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>1
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>3
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>3
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>3
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>1
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>3
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>3
[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]=>1
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>2
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>2
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1
[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]=>2
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>2
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>2
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>1
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>2
[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]=>2
[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]=>1
[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]=>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]=>4
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>2
[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]=>4
[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]=>4
[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]=>2
[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]=>2
[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]=>2
[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]=>2
[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]=>2
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>2
[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]=>0
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>1
[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]=>1
[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]=>3
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>1
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>1
[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]=>3
[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]=>3
[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]=>1
[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]=>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]=>3
[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]=>3
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>3
[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]=>3
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>3
[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]=>1
[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]=>1
[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]=>2
[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]=>2
[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]=>2
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>2
[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]=>0
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>2
[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]=>2
[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]=>1
[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]=>1
[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]=>1
[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]=>6
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>4
[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]=>4
[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]=>2
[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]=>4
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>2
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>3
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>3
[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]=>2
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>2
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>4
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>2
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>3
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>3
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>1
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>3
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>1
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>2
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>6
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>4
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>3
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>4
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>4
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>4
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>3
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>6
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>4
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>4
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>4
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>3
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>6
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>4
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>6
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>6
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>4
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>4
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>4
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>4
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>3
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>4
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>4
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>2
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>4
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>4
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>2
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>3
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>3
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>3
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>3
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>2
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>4
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>4
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>2
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>2
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>1
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>4
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>4
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>4
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>4
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>2
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>3
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>3
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>1
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>3
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>3
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>3
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>1
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>2
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>2
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>2
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>2
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>1
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>4
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>0
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>4
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>2
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>2
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>1
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>4
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>2
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>2
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>1
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>0
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>2
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>2
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>0
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>1
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>1
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>1
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>0
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>4
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>2
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>4
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>4
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>4
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>4
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>4
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>2
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>2
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>2
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>1
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>0
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>3
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>3
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>1
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>1
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>0
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>1
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>3
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>1
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>3
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>3
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>3
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>3
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>1
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>1
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>0
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>0
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>2
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>0
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>2
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>0
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>2
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>2
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>2
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>0
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>1
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>1
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>1
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>1
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>1
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>0
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>5
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>3
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>3
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>2
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>1
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>2
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>2
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>1
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>1
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>2
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>2
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>0
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>1
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>1
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>0
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>5
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>1
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>5
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>5
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>5
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>5
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>3
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>3
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>2
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>3
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>1
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>2
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>1
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>3
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>1
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>1
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>0
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>3
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>2
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>0
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>1
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>1
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>1
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>1
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>0
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>5
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>3
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>1
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>2
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>1
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>3
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>5
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>5
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>3
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>5
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>3
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>5
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>3
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>5
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>5
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>5
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>3
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>3
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>5
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>5
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>5
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>3
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>3
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>3
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>2
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>1
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>3
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>3
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>1
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>3
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>3
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>3
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>1
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>2
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>2
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>2
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>1
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>1
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>3
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>1
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>1
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>1
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>0
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>1
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>3
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>3
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>3
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>1
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>3
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>3
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>3
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>1
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>1
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>1
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>1
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>0
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>0
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>2
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>2
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>0
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>2
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>2
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>2
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>0
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>2
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>2
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>2
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>2
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>0
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>1
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>1
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>1
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>1
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>1
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>1
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>4
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>2
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>2
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>2
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>2
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>0
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>1
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>0
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>4
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>1
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>4
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>4
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>4
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>2
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>2
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>1
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>2
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>0
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>1
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>1
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>0
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>4
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>1
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>4
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>4
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>2
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>2
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>2
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>1
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>2
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>0
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>2
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>2
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>0
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>1
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>1
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>1
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>1
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>0
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>1
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>4
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>4
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>4
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>2
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>2
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>2
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>1
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>2
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>4
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>4
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>2
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>4
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>4
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>4
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>2
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>2
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>2
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>2
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>2
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>1
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>0
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>0
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>2
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>0
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>2
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>2
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>0
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>2
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>2
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>2
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>2
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>0
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>1
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>1
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>1
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>1
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>1
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>1
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>3
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>1
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>0
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>3
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>3
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>3
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>1
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>1
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>1
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>0
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>3
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>1
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>3
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>1
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>1
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>1
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>1
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>0
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>3
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>1
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>3
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>3
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>1
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>3
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>3
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>1
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>1
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>1
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>1
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>1
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>0
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>1
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>1
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>3
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>3
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>1
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>3
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>3
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>3
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>1
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>3
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>3
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>3
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>3
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>3
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>1
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>1
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>1
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>1
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>1
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>1
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>2
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>0
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>2
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>0
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>2
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>2
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>2
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>0
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>2
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>2
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>2
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>2
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>0
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>2
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>2
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>2
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>2
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>2
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>2
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>2
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>2
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>2
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>2
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>2
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>1
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>1
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>1
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>2
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>2
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>1
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>2
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]=>2
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>1
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>3
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]=>3
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>3
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>2
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>0
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>4
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>2
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>2
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>1
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>1
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>2
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>1
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>0
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>1
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0]=>3
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0]=>2
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>4
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>7
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>5
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>5
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>5
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>4
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>5
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>5
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>5
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>3
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>4
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>4
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>4
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>3
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>5
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>5
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>4
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>4
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>4
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>3
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>5
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>5
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>4
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>4
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>4
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>3
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>5
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>1
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>0
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>5
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>5
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>4
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>4
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>4
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>3
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>0
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>2
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>0
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>1
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>1
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>1
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>1
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>0
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>6
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>1
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>6
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>6
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>6
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>2
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>1
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>0
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>5
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]=>3
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>1
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>5
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>5
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]=>3
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>5
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>3
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>1
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]=>4
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]=>4
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>4
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0]=>1
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>2
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>1
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>1
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>3
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0]=>1
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]=>1
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]=>3
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>1
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>2
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>0
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0]=>2
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>2
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>2
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>2
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>2
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>2
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>1
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>1
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>1
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>9
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>7
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>7
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>7
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>7
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>7
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>7
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>7
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>6
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>6
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>6
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>6
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>6
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>6
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>6
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>5
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>6
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>5
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>6
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>6
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>4
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>5
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>4
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>4
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>6
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>3
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>4
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>4
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>6
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>3
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>5
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>4
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>7
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>3
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>7
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>2
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>2
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>2
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>3
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>7
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>5
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>5
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>1
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>6
[1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>2
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>1
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>1
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>2
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>1
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>2
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>3
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>7
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>5
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>5
[1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>1
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>5
[1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>1
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>1
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>1
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>1
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>1
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>1
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>6
[1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>2
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>1
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>1
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>0
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>1
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>1
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>1
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>5
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0]=>2
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0]=>1
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0]=>2
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]=>1
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>1
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]=>2
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>0
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>4
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>3
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>0
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>7
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>7
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>7
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>7
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>7
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>7
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>5
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>5
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>5
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>5
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>5
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>5
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>5
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>5
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>5
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>6
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>6
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>6
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>6
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>6
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>3
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]=>4
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>5
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>6
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>4
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>4
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>5
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]=>1
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>7
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>7
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>5
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>5
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>5
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>6
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>5
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>5
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>5
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>4
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>3
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>3
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>3
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>3
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>0
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>0
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>0
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]=>0
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]=>1
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>1
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]=>1
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>1
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>5
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>1
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>5
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>5
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>5
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>5
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>1
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>1
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>1
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>1
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>1
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>2
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>2
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>3
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>2
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>2
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>2
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>5
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>4
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>4
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>4
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>3
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>3
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>2
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>1
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>2
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>3
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>4
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>0
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>2
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>2
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]=>1
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>1
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>2
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>10
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>8
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>8
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>8
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>8
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>8
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>8
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>8
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>8
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>8
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>7
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>5
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>6
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>7
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>7
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>7
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>6
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>6
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>8
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>4
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>2
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>3
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]=>1
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]=>1
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>3
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>8
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>6
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>0
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>1
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>1
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>1
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>7
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1
[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>1
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>1
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>1
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>6
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>1
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>1
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>1
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>1
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>1
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>0
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>5
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>4
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>0
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>3
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>0
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>0
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>8
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>8
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>8
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>8
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>8
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>8
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>8
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>3
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]=>4
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>4
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>5
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>6
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>2
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>6
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>1
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>2
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>0
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>0
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>0
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>6
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>8
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>8
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>6
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>6
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>6
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>5
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>5
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>5
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>5
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>5
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>5
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>5
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>6
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>1
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>1
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>1
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>6
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0]=>3
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>2
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>0
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>0
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>0
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>0
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>2
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>2
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>2
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>2
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>6
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>6
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>6
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>6
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>7
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>5
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>5
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>5
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>5
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>5
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>6
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>2
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>3
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>3
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>3
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>4
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>3
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>4
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>3
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>4
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>3
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>4
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>4
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>4
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>5
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>2
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>3
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>3
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>3
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>4
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>2
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>3
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>3
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>4
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>2
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>3
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>3
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>3
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>4
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>2
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>3
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>3
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>3
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>4
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>3
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>4
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>3
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>4
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>3
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>4
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>4
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>4
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>5
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>7
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]=>1
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0]=>2
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0]=>1
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>1
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>4
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>0
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0]=>1
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>4
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>4
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>1
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0]=>2
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0]=>2
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0]=>2
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>11
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>9
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>9
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>9
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>8
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>8
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>4
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>5
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>9
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>1
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0]=>2
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>1
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>7
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>7
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>7
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>7
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>7
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>7
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>7
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>7
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>8
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>0
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>0
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>0
[1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>0
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>6
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>0
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>3
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>3
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>12
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>2
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>3
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>3
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>3
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>4
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>3
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>4
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>3
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>4
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>3
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>4
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>4
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>4
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>5
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>3
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>4
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>4
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>4
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>5
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>3
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>4
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>4
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>5
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]=>3
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>4
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>4
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>4
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>5
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>3
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>4
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>4
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>4
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>5
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>4
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>5
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>4
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>5
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>4
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>5
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>5
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>5
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>6
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>2
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>3
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>3
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>3
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>4
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>3
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>4
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>3
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>4
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>3
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>4
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>4
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>4
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>5
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>2
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>3
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>3
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>3
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>4
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>3
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>4
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>4
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>4
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>5
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]=>2
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>3
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>3
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>4
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>3
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>4
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>3
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>4
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>4
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>5
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>2
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>3
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>3
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>3
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>4
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>3
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>4
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>3
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>4
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>3
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>4
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>4
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>4
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>5
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>2
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>3
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>3
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>3
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0]=>4
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>3
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>4
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>3
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>4
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]=>3
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]=>4
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>4
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]=>4
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>5
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>3
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>4
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>4
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>4
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>5
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>3
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>4
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>4
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>5
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0]=>3
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>4
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>4
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>4
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>5
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>3
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0]=>4
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>4
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]=>4
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>5
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>4
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>5
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>4
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>5
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]=>4
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>5
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>5
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>5
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>6
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0]=>1
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]=>0
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>8
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>7
[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0]=>2
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>13
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>10
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>6
[1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>14
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>0
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>15
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0]=>6
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>13
[1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>1
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>13
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>12
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0]=>0
[1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0]=>18
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]=>0
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Description
The number of rises of length 1 of a Dyck path.
References
[1] Kangro, K., Pourmoradnasseri, M., Theis, D. O. Short note on the number of 1-ascents in dispersed dyck paths arXiv:1603.01422
Code
def statistic(D): return list(D.rise_composition()).count(1)
Created
Mar 07, 2016 at 20:06 by Christian Stump
Updated
Feb 22, 2024 at 12:17 by Martin Rubey
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