Identifier
- St000617: Dyck paths ⟶ ℤ
Values
=>
Cc0005;cc-rep
[]=>1
[1,0]=>1
[1,0,1,0]=>2
[1,1,0,0]=>1
[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]=>2
[1,1,1,0,0,0]=>1
[1,0,1,0,1,0,1,0]=>4
[1,0,1,0,1,1,0,0]=>1
[1,0,1,1,0,0,1,0]=>1
[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]=>1
[1,1,0,0,1,1,0,0]=>2
[1,1,0,1,0,0,1,0]=>2
[1,1,0,1,0,1,0,0]=>3
[1,1,0,1,1,0,0,0]=>1
[1,1,1,0,0,0,1,0]=>1
[1,1,1,0,0,1,0,0]=>1
[1,1,1,0,1,0,0,0]=>2
[1,1,1,1,0,0,0,0]=>1
[1,0,1,0,1,0,1,0,1,0]=>5
[1,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,0,1,1,0,0,1,0]=>1
[1,0,1,0,1,1,0,1,0,0]=>2
[1,0,1,0,1,1,1,0,0,0]=>1
[1,0,1,1,0,0,1,0,1,0]=>1
[1,0,1,1,0,0,1,1,0,0]=>2
[1,0,1,1,0,1,0,0,1,0]=>2
[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]=>1
[1,0,1,1,1,0,0,1,0,0]=>1
[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]=>1
[1,1,0,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,1,0,0,1,0]=>2
[1,1,0,0,1,1,0,1,0,0]=>3
[1,1,0,0,1,1,1,0,0,0]=>1
[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]=>3
[1,1,0,1,0,1,0,1,0,0]=>4
[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]=>2
[1,1,0,1,1,1,0,0,0,0]=>1
[1,1,1,0,0,0,1,0,1,0]=>1
[1,1,1,0,0,0,1,1,0,0]=>1
[1,1,1,0,0,1,0,0,1,0]=>1
[1,1,1,0,0,1,0,1,0,0]=>1
[1,1,1,0,0,1,1,0,0,0]=>2
[1,1,1,0,1,0,0,0,1,0]=>2
[1,1,1,0,1,0,0,1,0,0]=>2
[1,1,1,0,1,0,1,0,0,0]=>3
[1,1,1,0,1,1,0,0,0,0]=>1
[1,1,1,1,0,0,0,0,1,0]=>1
[1,1,1,1,0,0,0,1,0,0]=>1
[1,1,1,1,0,0,1,0,0,0]=>1
[1,1,1,1,0,1,0,0,0,0]=>2
[1,1,1,1,1,0,0,0,0,0]=>1
[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]=>1
[1,0,1,0,1,0,1,1,0,0,1,0]=>1
[1,0,1,0,1,0,1,1,0,1,0,0]=>2
[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]=>1
[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]=>2
[1,0,1,0,1,1,0,1,0,1,0,0]=>3
[1,0,1,0,1,1,0,1,1,0,0,0]=>1
[1,0,1,0,1,1,1,0,0,0,1,0]=>1
[1,0,1,0,1,1,1,0,0,1,0,0]=>1
[1,0,1,0,1,1,1,0,1,0,0,0]=>2
[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]=>1
[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]=>3
[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]=>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]=>3
[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]=>1
[1,0,1,1,0,1,1,0,0,0,1,0]=>1
[1,0,1,1,0,1,1,0,0,1,0,0]=>1
[1,0,1,1,0,1,1,0,1,0,0,0]=>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]=>1
[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]=>1
[1,0,1,1,1,0,0,1,0,1,0,0]=>1
[1,0,1,1,1,0,0,1,1,0,0,0]=>2
[1,0,1,1,1,0,1,0,0,0,1,0]=>2
[1,0,1,1,1,0,1,0,0,1,0,0]=>2
[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]=>1
[1,0,1,1,1,1,0,0,0,1,0,0]=>1
[1,0,1,1,1,1,0,0,1,0,0,0]=>1
[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]=>1
[1,1,0,0,1,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,0,1,1,0,0,1,0]=>2
[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]=>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]=>3
[1,1,0,0,1,1,0,1,0,0,1,0]=>3
[1,1,0,0,1,1,0,1,0,1,0,0]=>4
[1,1,0,0,1,1,0,1,1,0,0,0]=>1
[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]=>2
[1,1,0,0,1,1,1,1,0,0,0,0]=>1
[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]=>3
[1,1,0,1,0,0,1,1,0,1,0,0]=>4
[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]=>3
[1,1,0,1,0,1,0,0,1,1,0,0]=>4
[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]=>5
[1,1,0,1,0,1,0,1,1,0,0,0]=>1
[1,1,0,1,0,1,1,0,0,0,1,0]=>1
[1,1,0,1,0,1,1,0,0,1,0,0]=>1
[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]=>1
[1,1,0,1,1,0,0,0,1,1,0,0]=>1
[1,1,0,1,1,0,0,1,0,0,1,0]=>1
[1,1,0,1,1,0,0,1,0,1,0,0]=>1
[1,1,0,1,1,0,0,1,1,0,0,0]=>2
[1,1,0,1,1,0,1,0,0,0,1,0]=>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]=>3
[1,1,0,1,1,0,1,1,0,0,0,0]=>1
[1,1,0,1,1,1,0,0,0,0,1,0]=>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]=>2
[1,1,0,1,1,1,1,0,0,0,0,0]=>1
[1,1,1,0,0,0,1,0,1,0,1,0]=>1
[1,1,1,0,0,0,1,0,1,1,0,0]=>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]=>2
[1,1,1,0,0,1,0,0,1,0,1,0]=>1
[1,1,1,0,0,1,0,0,1,1,0,0]=>1
[1,1,1,0,0,1,0,1,0,0,1,0]=>1
[1,1,1,0,0,1,0,1,0,1,0,0]=>1
[1,1,1,0,0,1,0,1,1,0,0,0]=>2
[1,1,1,0,0,1,1,0,0,0,1,0]=>2
[1,1,1,0,0,1,1,0,0,1,0,0]=>2
[1,1,1,0,0,1,1,0,1,0,0,0]=>3
[1,1,1,0,0,1,1,1,0,0,0,0]=>1
[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]=>2
[1,1,1,0,1,0,0,1,0,0,1,0]=>2
[1,1,1,0,1,0,0,1,0,1,0,0]=>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]=>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]=>4
[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]=>2
[1,1,1,0,1,1,1,0,0,0,0,0]=>1
[1,1,1,1,0,0,0,0,1,0,1,0]=>1
[1,1,1,1,0,0,0,0,1,1,0,0]=>1
[1,1,1,1,0,0,0,1,0,0,1,0]=>1
[1,1,1,1,0,0,0,1,0,1,0,0]=>1
[1,1,1,1,0,0,0,1,1,0,0,0]=>1
[1,1,1,1,0,0,1,0,0,0,1,0]=>1
[1,1,1,1,0,0,1,0,0,1,0,0]=>1
[1,1,1,1,0,0,1,0,1,0,0,0]=>1
[1,1,1,1,0,0,1,1,0,0,0,0]=>2
[1,1,1,1,0,1,0,0,0,0,1,0]=>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]=>3
[1,1,1,1,0,1,1,0,0,0,0,0]=>1
[1,1,1,1,1,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,0,0,0,0,1,0,0]=>1
[1,1,1,1,1,0,0,0,1,0,0,0]=>1
[1,1,1,1,1,0,0,1,0,0,0,0]=>1
[1,1,1,1,1,0,1,0,0,0,0,0]=>2
[1,1,1,1,1,1,0,0,0,0,0,0]=>1
[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]=>1
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>2
[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]=>3
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>1
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>1
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>2
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>2
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>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]=>3
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>4
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>1
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>1
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>1
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>1
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>1
[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
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>1
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>1
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>1
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>2
[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]=>1
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>2
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>3
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>2
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>1
[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]=>2
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>3
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>4
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>3
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>4
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>5
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>1
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>1
[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]=>1
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>1
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>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]=>1
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>2
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>1
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>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]=>1
[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]=>1
[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]=>1
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>2
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>2
[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]=>1
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>1
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>1
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>1
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>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]=>1
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>2
[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]=>1
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>2
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>3
[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]=>4
[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]=>1
[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]=>2
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>3
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>4
[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]=>5
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>2
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>1
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>1
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>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]=>3
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>1
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>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]=>2
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1
[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
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>4
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>1
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>3
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>4
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>5
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>4
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>5
[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]=>6
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>1
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>1
[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]=>1
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>1
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>1
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>2
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>2
[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
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>2
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>1
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>1
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>2
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>2
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>4
[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
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>2
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>1
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>1
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>1
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>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]=>2
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>1
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>1
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>1
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>2
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>1
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>1
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>1
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>1
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>1
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>1
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>2
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>2
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>2
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>4
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>1
[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]=>2
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>2
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>2
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>3
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>3
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>3
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>3
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>3
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>4
[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]=>5
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>1
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>1
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>1
[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
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>1
[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
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>1
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>1
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>1
[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]=>1
[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
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>1
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>1
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>1
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>1
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>1
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>1
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>2
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>2
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>2
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>2
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>2
[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
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>4
[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]=>2
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>1
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>1
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>1
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>1
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>1
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>1
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>1
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>1
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>1
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>2
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>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]=>3
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>1
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>1
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>2
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>2
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>3
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>2
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>1
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>2
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>3
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>1
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>1
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>1
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>3
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>1
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>1
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>1
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>2
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>1
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>2
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>2
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>3
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>3
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>4
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>2
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>1
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>2
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>1
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>4
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>3
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>1
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>2
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>1
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>1
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>2
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>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]=>1
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>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]=>1
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>1
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>1
[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]=>1
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2
[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]=>1
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>4
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>5
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>4
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>2
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>6
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>1
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>2
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>1
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>1
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1
[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]=>1
[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]=>2
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>4
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>2
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>2
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>4
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>5
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>5
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>6
[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]=>7
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>1
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>2
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>1
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>1
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>3
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>1
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>1
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>1
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>1
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>2
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>2
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>2
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>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]=>2
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>1
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>1
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>1
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>1
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>1
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>1
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>1
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>2
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>2
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>4
[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]=>2
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>2
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>4
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>3
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>3
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>4
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>4
[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]=>6
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>1
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>1
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>2
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>1
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>2
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>1
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>1
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>2
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>1
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>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]=>2
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>1
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>1
[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]=>2
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>1
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>2
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>3
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>1
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>1
[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]=>1
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>2
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>1
[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
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>2
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>1
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>1
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>1
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>2
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>1
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>2
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>2
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>1
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>2
[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
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>4
[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]=>2
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>1
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>1
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>1
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>1
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>1
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>1
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>2
[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
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>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]=>3
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>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]=>2
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>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]=>1
[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]=>1
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>2
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>1
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>2
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>2
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1
[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]=>1
[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]=>1
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>8
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>1
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>2
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>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]=>2
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>2
[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]=>7
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>2
[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]=>2
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>1
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>2
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>1
[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
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>2
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>2
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2
[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]=>1
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1
[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]=>1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2
[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]=>1
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>6
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>7
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>1
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>3
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>4
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>3
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3
[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]=>5
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>1
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>7
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>7
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>2
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>1
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>1
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>1
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>1
[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]=>1
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]=>2
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>2
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>9
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>8
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>3
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>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]=>2
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>8
[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]=>2
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>4
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>2
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>2
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>2
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>2
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>2
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>2
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>2
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>2
[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]=>2
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>2
[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]=>2
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>4
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>2
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>2
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>4
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>4
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>4
[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]=>2
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>4
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>2
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>2
[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]=>2
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>4
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>2
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>2
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>2
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>2
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>2
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>2
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>2
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>2
[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]=>2
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>2
[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]=>2
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>2
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>2
[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
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>10
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1
[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]=>2
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>9
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>1
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>1
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1
[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]=>2
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>4
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>2
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>2
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>2
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>2
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>2
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>2
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>2
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>2
[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]=>2
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>2
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>2
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>2
[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]=>2
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>2
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>4
[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]=>4
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]=>2
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>2
[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]=>2
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>2
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>2
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>2
[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]=>2
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>2
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>2
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>2
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>2
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>2
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>2
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>2
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>4
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>2
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>2
[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]=>2
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>4
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>2
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>2
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>2
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>2
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>2
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>2
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>2
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>2
[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]=>2
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>2
[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]=>2
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>6
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>2
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>2
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>2
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>2
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>6
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>2
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>2
[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]=>2
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>2
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>2
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>6
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>6
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>2
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>2
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>2
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>2
[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]=>2
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>4
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>2
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>2
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>2
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>2
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>2
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>2
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>2
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>2
[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]=>2
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>2
[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]=>2
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>4
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>2
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0]=>2
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>2
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>2
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>2
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>2
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]=>2
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]=>2
[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]=>2
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>2
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>2
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>2
[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]=>2
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>2
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>4
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>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]=>4
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0]=>2
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>2
[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]=>2
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>2
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>2
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0]=>2
[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]=>2
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>2
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>2
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>2
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>2
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>2
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]=>2
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>2
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>4
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>2
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>2
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Description
The number of global maxima of a Dyck path.
Code
def statistic(D): return D.heights().count(D.height())
Created
Aug 25, 2016 at 16:37 by Martin Rubey
Updated
Dec 29, 2017 at 16:24 by Martin Rubey
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