Identifier
- St001809: Dyck paths ⟶ ℤ
Values
=>
Cc0005;cc-rep
[1,0]=>1
[1,0,1,0]=>1
[1,1,0,0]=>2
[1,0,1,0,1,0]=>1
[1,0,1,1,0,0]=>4
[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]=>6
[1,0,1,1,0,0,1,0]=>4
[1,0,1,1,0,1,0,0]=>4
[1,0,1,1,1,0,0,0]=>5
[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]=>5
[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]=>8
[1,0,1,0,1,1,0,0,1,0]=>6
[1,0,1,0,1,1,0,1,0,0]=>6
[1,0,1,0,1,1,1,0,0,0]=>7
[1,0,1,1,0,0,1,0,1,0]=>4
[1,0,1,1,0,0,1,1,0,0]=>4
[1,0,1,1,0,1,0,0,1,0]=>4
[1,0,1,1,0,1,0,1,0,0]=>4
[1,0,1,1,0,1,1,0,0,0]=>7
[1,0,1,1,1,0,0,0,1,0]=>5
[1,0,1,1,1,0,0,1,0,0]=>5
[1,0,1,1,1,0,1,0,0,0]=>5
[1,0,1,1,1,1,0,0,0,0]=>6
[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]=>7
[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]=>7
[1,1,0,1,1,0,0,0,1,0]=>5
[1,1,0,1,1,0,0,1,0,0]=>5
[1,1,0,1,1,0,1,0,0,0]=>5
[1,1,0,1,1,1,0,0,0,0]=>6
[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]=>6
[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]=>10
[1,0,1,0,1,0,1,1,0,0,1,0]=>8
[1,0,1,0,1,0,1,1,0,1,0,0]=>8
[1,0,1,0,1,0,1,1,1,0,0,0]=>9
[1,0,1,0,1,1,0,0,1,0,1,0]=>6
[1,0,1,0,1,1,0,0,1,1,0,0]=>6
[1,0,1,0,1,1,0,1,0,0,1,0]=>6
[1,0,1,0,1,1,0,1,0,1,0,0]=>6
[1,0,1,0,1,1,0,1,1,0,0,0]=>9
[1,0,1,0,1,1,1,0,0,0,1,0]=>7
[1,0,1,0,1,1,1,0,0,1,0,0]=>7
[1,0,1,0,1,1,1,0,1,0,0,0]=>7
[1,0,1,0,1,1,1,1,0,0,0,0]=>8
[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]=>4
[1,0,1,1,0,0,1,1,0,0,1,0]=>4
[1,0,1,1,0,0,1,1,0,1,0,0]=>4
[1,0,1,1,0,0,1,1,1,0,0,0]=>9
[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]=>4
[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]=>9
[1,0,1,1,0,1,1,0,0,0,1,0]=>7
[1,0,1,1,0,1,1,0,0,1,0,0]=>7
[1,0,1,1,0,1,1,0,1,0,0,0]=>7
[1,0,1,1,0,1,1,1,0,0,0,0]=>8
[1,0,1,1,1,0,0,0,1,0,1,0]=>5
[1,0,1,1,1,0,0,0,1,1,0,0]=>5
[1,0,1,1,1,0,0,1,0,0,1,0]=>5
[1,0,1,1,1,0,0,1,0,1,0,0]=>5
[1,0,1,1,1,0,0,1,1,0,0,0]=>5
[1,0,1,1,1,0,1,0,0,0,1,0]=>5
[1,0,1,1,1,0,1,0,0,1,0,0]=>5
[1,0,1,1,1,0,1,0,1,0,0,0]=>5
[1,0,1,1,1,0,1,1,0,0,0,0]=>8
[1,0,1,1,1,1,0,0,0,0,1,0]=>6
[1,0,1,1,1,1,0,0,0,1,0,0]=>6
[1,0,1,1,1,1,0,0,1,0,0,0]=>6
[1,0,1,1,1,1,0,1,0,0,0,0]=>6
[1,0,1,1,1,1,1,0,0,0,0,0]=>7
[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]=>9
[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]=>9
[1,1,0,0,1,1,1,0,0,0,1,0]=>7
[1,1,0,0,1,1,1,0,0,1,0,0]=>7
[1,1,0,0,1,1,1,0,1,0,0,0]=>7
[1,1,0,0,1,1,1,1,0,0,0,0]=>8
[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]=>9
[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]=>9
[1,1,0,1,0,1,1,0,0,0,1,0]=>7
[1,1,0,1,0,1,1,0,0,1,0,0]=>7
[1,1,0,1,0,1,1,0,1,0,0,0]=>7
[1,1,0,1,0,1,1,1,0,0,0,0]=>8
[1,1,0,1,1,0,0,0,1,0,1,0]=>5
[1,1,0,1,1,0,0,0,1,1,0,0]=>5
[1,1,0,1,1,0,0,1,0,0,1,0]=>5
[1,1,0,1,1,0,0,1,0,1,0,0]=>5
[1,1,0,1,1,0,0,1,1,0,0,0]=>5
[1,1,0,1,1,0,1,0,0,0,1,0]=>5
[1,1,0,1,1,0,1,0,0,1,0,0]=>5
[1,1,0,1,1,0,1,0,1,0,0,0]=>5
[1,1,0,1,1,0,1,1,0,0,0,0]=>8
[1,1,0,1,1,1,0,0,0,0,1,0]=>6
[1,1,0,1,1,1,0,0,0,1,0,0]=>6
[1,1,0,1,1,1,0,0,1,0,0,0]=>6
[1,1,0,1,1,1,0,1,0,0,0,0]=>6
[1,1,0,1,1,1,1,0,0,0,0,0]=>7
[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]=>8
[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]=>8
[1,1,1,0,1,1,0,0,0,0,1,0]=>6
[1,1,1,0,1,1,0,0,0,1,0,0]=>6
[1,1,1,0,1,1,0,0,1,0,0,0]=>6
[1,1,1,0,1,1,0,1,0,0,0,0]=>6
[1,1,1,0,1,1,1,0,0,0,0,0]=>7
[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]=>7
[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]=>12
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>10
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>10
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>11
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>8
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>8
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>8
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>8
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>11
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>9
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>9
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>9
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>10
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>6
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>6
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>6
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>11
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>6
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>6
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>6
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>6
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>11
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>9
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>9
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>9
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>10
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>7
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>7
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>7
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>7
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>7
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>7
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>7
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>7
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>10
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>8
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>8
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>8
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>8
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>9
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>4
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>4
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>11
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>4
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>4
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>4
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>11
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>9
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>9
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>9
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>10
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>4
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>4
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>4
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>4
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>11
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>4
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>4
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>4
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>4
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>11
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>9
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>9
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>9
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>10
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>7
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>7
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>7
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>7
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>7
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>7
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>7
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>7
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>10
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>8
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>8
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>8
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>8
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>9
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>5
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>5
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>5
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>5
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>5
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>5
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>5
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>5
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>5
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>5
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>5
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>10
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>5
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>5
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>5
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>5
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>5
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>5
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>5
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>5
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>10
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>8
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>8
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>8
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>8
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>9
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>6
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>6
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>6
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>6
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>6
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>6
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>6
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>6
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>6
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>6
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>6
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>6
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>9
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>7
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>7
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>7
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>7
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>8
[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]=>11
[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]=>11
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>9
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>9
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>9
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>10
[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]=>11
[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]=>11
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>9
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>9
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>9
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>10
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>7
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>7
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>7
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>7
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>7
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>7
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>7
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>10
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>8
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>8
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>8
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>8
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>9
[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]=>11
[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]=>11
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>9
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>9
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>9
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>10
[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]=>11
[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]=>11
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>9
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>9
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>9
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>10
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>7
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>7
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>7
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>7
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>7
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>7
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>7
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>7
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>10
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>8
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>8
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>8
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>8
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>9
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>5
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>5
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>5
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>5
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>5
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>5
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>5
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>5
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>5
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>5
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>5
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>5
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>5
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>10
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>5
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>5
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>5
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>5
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>5
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>5
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>5
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>5
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>10
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>8
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>8
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>8
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>8
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>9
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>6
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>6
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>6
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>6
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>6
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>6
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>6
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>6
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>6
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>6
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>6
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>6
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>6
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>9
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>7
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>7
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>7
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>7
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>7
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>8
[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]=>10
[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]=>10
[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]=>10
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>8
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>8
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>8
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>9
[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]=>10
[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]=>10
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>8
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>8
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>8
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>8
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>9
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>6
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>6
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>6
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>6
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>6
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>6
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>6
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>6
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>6
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>6
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>6
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>6
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>6
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>9
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>7
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>7
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>7
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>7
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>7
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>8
[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]=>9
[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]=>9
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>7
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>7
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>7
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>7
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>7
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>8
[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]=>8
[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]=>14
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>12
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>12
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>13
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>10
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>10
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>10
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>10
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>13
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>11
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>11
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>11
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>12
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>8
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>8
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>8
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>8
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>13
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>8
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>8
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>8
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>8
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>13
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>11
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>11
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>11
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>12
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>9
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>9
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>9
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>9
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>9
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>9
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>9
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>9
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>12
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>10
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>10
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>10
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>10
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>11
[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]=>6
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>6
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>13
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>6
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>6
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>13
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>11
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>11
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>11
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>12
[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]=>6
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>6
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>6
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>13
[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]=>6
[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]=>13
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>11
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>11
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>11
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>12
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>9
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>9
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>9
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>9
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>9
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>9
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>9
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>9
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>12
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>10
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>10
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>10
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>10
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>11
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>7
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>7
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>7
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>7
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>7
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>7
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>7
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>7
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>7
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>7
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>7
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>7
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>7
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>12
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>7
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>7
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>7
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>7
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>7
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>7
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>7
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>7
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>12
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>10
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>10
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>10
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>10
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>11
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>8
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>8
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>8
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>8
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>8
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>8
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>8
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>8
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>8
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>8
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>8
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>8
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>11
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>9
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>9
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>9
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>9
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>10
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>4
[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]=>13
[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]=>4
[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]=>13
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>11
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>11
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>11
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>12
[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]=>4
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>4
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>4
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>13
[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]=>4
[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]=>13
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>11
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>11
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>11
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>12
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>9
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>9
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>9
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>9
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>9
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>9
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>9
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>9
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>12
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>10
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>10
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>10
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>10
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>11
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>4
[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]=>13
[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]=>4
[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]=>13
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>11
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>11
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>11
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>12
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>4
[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]=>13
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>4
[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]=>4
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>4
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>13
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>11
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>11
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>11
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>12
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>9
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>9
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>9
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>9
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>9
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>9
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>9
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>9
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>12
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>10
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>10
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>10
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>10
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>11
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>7
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>7
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>7
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>7
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>7
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>7
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>7
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>7
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>7
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>7
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>7
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>7
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>12
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>7
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>7
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>7
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>7
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>7
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>7
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>7
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>7
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>12
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>10
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>10
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>10
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>10
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>11
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>8
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>8
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>8
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>8
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>8
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>8
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>8
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>8
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>8
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>8
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>8
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>8
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>11
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>9
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>9
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>9
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>9
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>9
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>10
[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]=>5
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>5
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>5
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>5
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>5
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>5
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>5
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>5
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>5
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>5
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>12
[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]=>5
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>5
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>5
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>5
[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]=>5
[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]=>5
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>5
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>5
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>5
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>12
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>5
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>5
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>5
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>5
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>5
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>5
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>5
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>5
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>12
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>10
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>10
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>10
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>10
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>11
[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]=>5
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>5
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>5
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>5
[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]=>5
[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]=>5
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>5
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>5
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>5
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>12
[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]=>5
[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]=>5
[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]=>12
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>10
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>10
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>10
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>10
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>11
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>8
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>8
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>8
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>8
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>8
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>8
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>8
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>8
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>8
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>8
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>8
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>8
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>8
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>11
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>9
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>9
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>9
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>9
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>9
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>10
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>6
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>6
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>6
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>6
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>6
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>6
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>6
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>6
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>6
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>6
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>6
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>6
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>6
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>6
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>6
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>6
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>6
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>6
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>6
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>6
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>6
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>6
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>6
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>6
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>6
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>6
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>11
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>6
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>6
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>6
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>6
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>6
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>6
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>6
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>6
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>6
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>6
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>6
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>6
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>6
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>11
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>9
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>9
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>9
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>9
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>9
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>10
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>7
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>7
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>7
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>7
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>7
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>7
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>7
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>7
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>7
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>7
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>7
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>7
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>7
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>7
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>7
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>7
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>7
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>7
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>7
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>10
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>8
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>8
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>8
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>8
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>8
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>8
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>9
[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]=>13
[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]=>13
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>11
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>11
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>11
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>12
[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]=>13
[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]=>13
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>11
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>11
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>11
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>12
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>9
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>9
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>9
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>9
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>9
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>9
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>9
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>9
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>12
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>10
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>10
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>10
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>10
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>11
[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]=>13
[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]=>13
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>11
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>11
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>11
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>12
[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]=>13
[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]=>13
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>11
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>11
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>11
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>12
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>9
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>9
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>9
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>9
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>9
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>9
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>9
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>9
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>12
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>10
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>10
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>10
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>10
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>11
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>7
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>7
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>7
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>7
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>7
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>7
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>7
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>7
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>7
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>7
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>7
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>7
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>7
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>12
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>7
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>7
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>7
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>7
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>7
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>7
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>7
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>7
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>12
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>10
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>10
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>10
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>10
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>11
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>8
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>8
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>8
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>8
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>8
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>8
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>8
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>8
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>8
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>8
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>8
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>8
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>11
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>9
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>9
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>9
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>9
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>10
[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]=>13
[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]=>13
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>11
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>11
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>11
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>12
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Description
The index of the step at the first peak of maximal height in a Dyck path.
Code
def statistic(D): return D.heights().index(D.height())
Created
Jun 16, 2022 at 22:31 by Martin Rubey
Updated
Jun 16, 2022 at 22:31 by Martin Rubey
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