Identifier
- St000444: Dyck paths ⟶ ℤ
Values
=>
Cc0005;cc-rep
[1,0,1,0]=>1
[1,1,0,0]=>2
[1,0,1,0,1,0]=>1
[1,0,1,1,0,0]=>2
[1,1,0,0,1,0]=>2
[1,1,0,1,0,0]=>2
[1,1,1,0,0,0]=>3
[1,0,1,0,1,0,1,0]=>1
[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]=>3
[1,1,0,0,1,0,1,0]=>2
[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]=>2
[1,1,0,1,1,0,0,0]=>2
[1,1,1,0,0,0,1,0]=>3
[1,1,1,0,0,1,0,0]=>3
[1,1,1,0,1,0,0,0]=>3
[1,1,1,1,0,0,0,0]=>4
[1,0,1,0,1,0,1,0,1,0]=>1
[1,0,1,0,1,0,1,1,0,0]=>2
[1,0,1,0,1,1,0,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,0]=>2
[1,0,1,0,1,1,1,0,0,0]=>3
[1,0,1,1,0,0,1,0,1,0]=>2
[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]=>2
[1,0,1,1,0,1,1,0,0,0]=>2
[1,0,1,1,1,0,0,0,1,0]=>3
[1,0,1,1,1,0,0,1,0,0]=>3
[1,0,1,1,1,0,1,0,0,0]=>3
[1,0,1,1,1,1,0,0,0,0]=>4
[1,1,0,0,1,0,1,0,1,0]=>2
[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]=>2
[1,1,0,0,1,1,1,0,0,0]=>3
[1,1,0,1,0,0,1,0,1,0]=>2
[1,1,0,1,0,0,1,1,0,0]=>2
[1,1,0,1,0,1,0,0,1,0]=>2
[1,1,0,1,0,1,0,1,0,0]=>2
[1,1,0,1,0,1,1,0,0,0]=>2
[1,1,0,1,1,0,0,0,1,0]=>2
[1,1,0,1,1,0,0,1,0,0]=>2
[1,1,0,1,1,0,1,0,0,0]=>2
[1,1,0,1,1,1,0,0,0,0]=>3
[1,1,1,0,0,0,1,0,1,0]=>3
[1,1,1,0,0,0,1,1,0,0]=>3
[1,1,1,0,0,1,0,0,1,0]=>3
[1,1,1,0,0,1,0,1,0,0]=>3
[1,1,1,0,0,1,1,0,0,0]=>3
[1,1,1,0,1,0,0,0,1,0]=>3
[1,1,1,0,1,0,0,1,0,0]=>3
[1,1,1,0,1,0,1,0,0,0]=>3
[1,1,1,0,1,1,0,0,0,0]=>3
[1,1,1,1,0,0,0,0,1,0]=>4
[1,1,1,1,0,0,0,1,0,0]=>4
[1,1,1,1,0,0,1,0,0,0]=>4
[1,1,1,1,0,1,0,0,0,0]=>4
[1,1,1,1,1,0,0,0,0,0]=>5
[1,0,1,0,1,0,1,0,1,0,1,0]=>1
[1,0,1,0,1,0,1,0,1,1,0,0]=>2
[1,0,1,0,1,0,1,1,0,0,1,0]=>2
[1,0,1,0,1,0,1,1,0,1,0,0]=>2
[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]=>2
[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]=>2
[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]=>4
[1,0,1,1,0,0,1,0,1,0,1,0]=>2
[1,0,1,1,0,0,1,0,1,1,0,0]=>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]=>3
[1,0,1,1,0,1,0,0,1,0,1,0]=>2
[1,0,1,1,0,1,0,0,1,1,0,0]=>2
[1,0,1,1,0,1,0,1,0,0,1,0]=>2
[1,0,1,1,0,1,0,1,0,1,0,0]=>2
[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]=>3
[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]=>3
[1,0,1,1,1,0,0,1,0,0,1,0]=>3
[1,0,1,1,1,0,0,1,0,1,0,0]=>3
[1,0,1,1,1,0,0,1,1,0,0,0]=>3
[1,0,1,1,1,0,1,0,0,0,1,0]=>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]=>3
[1,0,1,1,1,1,0,0,0,0,1,0]=>4
[1,0,1,1,1,1,0,0,0,1,0,0]=>4
[1,0,1,1,1,1,0,0,1,0,0,0]=>4
[1,0,1,1,1,1,0,1,0,0,0,0]=>4
[1,0,1,1,1,1,1,0,0,0,0,0]=>5
[1,1,0,0,1,0,1,0,1,0,1,0]=>2
[1,1,0,0,1,0,1,0,1,1,0,0]=>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]=>3
[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]=>2
[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]=>2
[1,1,0,0,1,1,1,0,0,0,1,0]=>3
[1,1,0,0,1,1,1,0,0,1,0,0]=>3
[1,1,0,0,1,1,1,0,1,0,0,0]=>3
[1,1,0,0,1,1,1,1,0,0,0,0]=>4
[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]=>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]=>3
[1,1,0,1,0,1,0,0,1,0,1,0]=>2
[1,1,0,1,0,1,0,0,1,1,0,0]=>2
[1,1,0,1,0,1,0,1,0,0,1,0]=>2
[1,1,0,1,0,1,0,1,0,1,0,0]=>2
[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]=>3
[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]=>2
[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]=>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]=>2
[1,1,0,1,1,0,1,1,0,0,0,0]=>2
[1,1,0,1,1,1,0,0,0,0,1,0]=>3
[1,1,0,1,1,1,0,0,0,1,0,0]=>3
[1,1,0,1,1,1,0,0,1,0,0,0]=>3
[1,1,0,1,1,1,0,1,0,0,0,0]=>3
[1,1,0,1,1,1,1,0,0,0,0,0]=>4
[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]=>3
[1,1,1,0,0,0,1,1,0,0,1,0]=>3
[1,1,1,0,0,0,1,1,0,1,0,0]=>3
[1,1,1,0,0,0,1,1,1,0,0,0]=>3
[1,1,1,0,0,1,0,0,1,0,1,0]=>3
[1,1,1,0,0,1,0,0,1,1,0,0]=>3
[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]=>3
[1,1,1,0,0,1,1,0,0,0,1,0]=>3
[1,1,1,0,0,1,1,0,0,1,0,0]=>3
[1,1,1,0,0,1,1,0,1,0,0,0]=>3
[1,1,1,0,0,1,1,1,0,0,0,0]=>3
[1,1,1,0,1,0,0,0,1,0,1,0]=>3
[1,1,1,0,1,0,0,0,1,1,0,0]=>3
[1,1,1,0,1,0,0,1,0,0,1,0]=>3
[1,1,1,0,1,0,0,1,0,1,0,0]=>3
[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]=>3
[1,1,1,0,1,0,1,1,0,0,0,0]=>3
[1,1,1,0,1,1,0,0,0,0,1,0]=>3
[1,1,1,0,1,1,0,0,0,1,0,0]=>3
[1,1,1,0,1,1,0,0,1,0,0,0]=>3
[1,1,1,0,1,1,0,1,0,0,0,0]=>3
[1,1,1,0,1,1,1,0,0,0,0,0]=>3
[1,1,1,1,0,0,0,0,1,0,1,0]=>4
[1,1,1,1,0,0,0,0,1,1,0,0]=>4
[1,1,1,1,0,0,0,1,0,0,1,0]=>4
[1,1,1,1,0,0,0,1,0,1,0,0]=>4
[1,1,1,1,0,0,0,1,1,0,0,0]=>4
[1,1,1,1,0,0,1,0,0,0,1,0]=>4
[1,1,1,1,0,0,1,0,0,1,0,0]=>4
[1,1,1,1,0,0,1,0,1,0,0,0]=>4
[1,1,1,1,0,0,1,1,0,0,0,0]=>4
[1,1,1,1,0,1,0,0,0,0,1,0]=>4
[1,1,1,1,0,1,0,0,0,1,0,0]=>4
[1,1,1,1,0,1,0,0,1,0,0,0]=>4
[1,1,1,1,0,1,0,1,0,0,0,0]=>4
[1,1,1,1,0,1,1,0,0,0,0,0]=>4
[1,1,1,1,1,0,0,0,0,0,1,0]=>5
[1,1,1,1,1,0,0,0,0,1,0,0]=>5
[1,1,1,1,1,0,0,0,1,0,0,0]=>5
[1,1,1,1,1,0,0,1,0,0,0,0]=>5
[1,1,1,1,1,0,1,0,0,0,0,0]=>5
[1,1,1,1,1,1,0,0,0,0,0,0]=>6
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>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]=>2
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>2
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>3
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>3
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>3
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>4
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>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]=>2
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>2
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>2
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>2
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>2
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>2
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>2
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>3
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>3
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>3
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>3
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>3
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>3
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>3
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>3
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>3
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>4
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>4
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>5
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>2
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>2
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>2
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>2
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>2
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>2
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>2
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>3
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>3
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>3
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>4
[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]=>2
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>2
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>3
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>2
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>2
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>2
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>2
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>2
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>2
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>2
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>2
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>3
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>2
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>2
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>2
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>2
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>2
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>2
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>2
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>2
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>2
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>3
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>3
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>3
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>3
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>4
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>3
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>3
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>3
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>3
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>3
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>3
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>3
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>3
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>3
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>3
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>3
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>3
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>3
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>3
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>3
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>3
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>3
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>3
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>3
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>3
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>3
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>3
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>3
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>3
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>3
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>3
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>4
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>4
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>4
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>4
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>4
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>4
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>4
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>4
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>4
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>4
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>4
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>5
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>5
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>5
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>5
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>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]=>2
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>2
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>2
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>2
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>2
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>2
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>3
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>3
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>3
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>4
[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]=>2
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>2
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>2
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>3
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>2
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>2
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>2
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>2
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>2
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>2
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>2
[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]=>3
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>3
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>3
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>3
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>3
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>3
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>3
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>3
[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]=>3
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>4
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>4
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>4
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5
[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]=>2
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>2
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>2
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>3
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>2
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>2
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>2
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>2
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>2
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>3
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>3
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>3
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>4
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>2
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>2
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>2
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>2
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>3
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>2
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>2
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>2
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>2
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>2
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>2
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>2
[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]=>3
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>2
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>2
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>2
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>2
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>2
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>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]=>2
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>2
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>3
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>3
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>3
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>3
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>4
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>2
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>2
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>2
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>2
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>3
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>2
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>2
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>2
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>2
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>2
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>2
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>2
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>2
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>3
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>2
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>2
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>2
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>2
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>2
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>2
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>2
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>2
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>2
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>2
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>2
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>2
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>2
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>3
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>3
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>3
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>3
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>3
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>3
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>3
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>3
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>3
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>3
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>3
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>3
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>3
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>3
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>3
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>4
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>4
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>4
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>4
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>4
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>5
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>3
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>3
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>3
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>3
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>3
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>3
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>3
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>3
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>3
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>3
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>3
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>3
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>3
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>3
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>3
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>3
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>3
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>3
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>3
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>3
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>3
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>3
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>3
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>3
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>3
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>3
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>3
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>3
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>3
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>3
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>3
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>3
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>3
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>3
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>3
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>3
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>3
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>3
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>4
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>3
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>3
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>3
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>3
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>3
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>3
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>3
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>3
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>3
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>3
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>3
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>3
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>3
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>3
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>3
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>3
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>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]=>3
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>3
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>3
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>3
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>3
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>3
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>3
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>3
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>3
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>3
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>3
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>3
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>3
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>3
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>3
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>3
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>3
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>3
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>3
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>3
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>3
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>3
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>3
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>3
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>3
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>3
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>3
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>3
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>3
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>4
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>4
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>4
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>4
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>4
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>4
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>4
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>4
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>4
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>4
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>4
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>4
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>4
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>4
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>4
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>4
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>4
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>4
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>4
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>4
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>4
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>4
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>4
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>4
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>4
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>4
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>4
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>4
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>4
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>4
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>4
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>4
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>4
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>4
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>4
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>4
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>4
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>4
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>4
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>4
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>4
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>4
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>4
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>4
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>4
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>4
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>4
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>5
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>5
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>5
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>5
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>5
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>5
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>5
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>5
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>5
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>5
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>5
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>5
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>5
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>5
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>5
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>5
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>5
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>5
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>6
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>6
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>6
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>6
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>2
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>2
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>2
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>2
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>3
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>3
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>3
[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]=>2
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>2
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>2
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>2
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>2
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>2
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>2
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>2
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>2
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>2
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>2
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>2
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>3
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>3
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>3
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>3
[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]=>3
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>3
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>3
[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]=>5
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>2
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>2
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>2
[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]=>2
[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]=>2
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>2
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>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]=>4
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>2
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>2
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>3
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>2
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>2
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>2
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>2
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>2
[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]=>2
[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]=>2
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>2
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>2
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>2
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>2
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>2
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>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]=>4
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>3
[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]=>3
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>3
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>3
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>3
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>3
[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]=>3
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>3
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>3
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>3
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>3
[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]=>3
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>3
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>3
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>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]=>3
[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]=>4
[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]=>4
[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]=>4
[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]=>4
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>5
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>5
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>5
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>5
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>2
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>2
[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]=>2
[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]=>2
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>2
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>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]=>4
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>2
[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]=>3
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>2
[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]=>2
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>2
[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]=>3
[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]=>3
[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]=>3
[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]=>3
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>4
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>4
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>4
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>2
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>2
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>2
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>3
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>2
[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]=>2
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>2
[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]=>4
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>2
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>2
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>2
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>3
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>2
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>2
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>2
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>2
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>2
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>2
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>2
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>2
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>3
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>2
[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]=>2
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>2
[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]=>2
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>2
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>2
[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]=>4
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>2
[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]=>3
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>2
[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]=>2
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>2
[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]=>3
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>2
[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]=>2
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>2
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>2
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>2
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>2
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>2
[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]=>3
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>3
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>3
[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]=>3
[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]=>3
[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]=>3
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>4
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>4
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>4
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>4
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>4
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>5
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>3
[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]=>3
[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]=>3
[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]=>3
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>3
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>3
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>3
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>3
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>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]=>3
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>3
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>3
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>3
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>3
[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]=>3
[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]=>3
[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]=>3
[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]=>3
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>3
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>3
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>3
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>3
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>4
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>3
[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]=>3
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>3
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>3
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>3
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>3
[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]=>3
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>3
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>3
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>3
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>3
[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]=>3
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>3
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>3
[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]=>3
[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]=>3
[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]=>3
[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]=>3
[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]=>3
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>3
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>3
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>3
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>3
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>3
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>4
[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]=>4
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>4
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>4
[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]=>4
[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]=>4
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>4
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>4
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>4
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4
[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]=>4
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>4
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>4
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>4
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>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]=>4
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>4
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>4
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>4
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>4
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>4
[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]=>4
[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]=>4
[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]=>4
[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]=>4
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>4
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>4
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>4
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>4
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>4
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>4
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>5
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>5
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>5
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>5
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>5
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>5
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>5
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>5
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>5
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>5
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>5
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>5
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>5
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>5
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>5
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>5
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>5
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>5
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>6
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>6
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>6
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>6
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>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]=>2
[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]=>2
[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]=>2
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>2
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>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]=>4
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2
[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]=>3
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>2
[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]=>2
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>2
[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]=>3
[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]=>3
[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]=>3
[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]=>3
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>4
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>4
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>5
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2
[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]=>3
[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]=>2
[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]=>2
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>3
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>3
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>3
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>4
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>2
[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]=>3
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>2
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>2
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>2
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>2
[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]=>3
[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]=>2
[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]=>2
[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]=>2
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>3
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>3
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>3
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>3
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>4
[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]=>3
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>3
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>3
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3
[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]=>3
[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]=>3
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>3
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>3
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>3
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>3
[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]=>3
[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]=>3
[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]=>3
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>3
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>3
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>3
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>3
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>3
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>4
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>4
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>4
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>4
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>4
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>4
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>4
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>4
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>4
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>4
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>4
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>5
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>5
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>5
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>5
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>2
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>2
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>2
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>2
[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]=>2
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>2
[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]=>4
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>2
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Description
The length of the maximal rise of a Dyck path.
Code
def statistic(D): return max(D.rise_composition())
Created
Mar 07, 2016 at 20:05 by Christian Stump
Updated
Mar 07, 2016 at 20:05 by Christian Stump
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