Identifier
- St001034: Dyck paths ⟶ ℤ
Values
=>
Cc0005;cc-rep
[]=>0
[1,0]=>1
[1,0,1,0]=>2
[1,1,0,0]=>2
[1,0,1,0,1,0]=>3
[1,0,1,1,0,0]=>3
[1,1,0,0,1,0]=>3
[1,1,0,1,0,0]=>3
[1,1,1,0,0,0]=>4
[1,0,1,0,1,0,1,0]=>4
[1,0,1,0,1,1,0,0]=>4
[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]=>4
[1,1,0,0,1,1,0,0]=>4
[1,1,0,1,0,0,1,0]=>4
[1,1,0,1,0,1,0,0]=>4
[1,1,0,1,1,0,0,0]=>5
[1,1,1,0,0,0,1,0]=>5
[1,1,1,0,0,1,0,0]=>5
[1,1,1,0,1,0,0,0]=>6
[1,1,1,1,0,0,0,0]=>6
[1,0,1,0,1,0,1,0,1,0]=>5
[1,0,1,0,1,0,1,1,0,0]=>5
[1,0,1,0,1,1,0,0,1,0]=>5
[1,0,1,0,1,1,0,1,0,0]=>5
[1,0,1,0,1,1,1,0,0,0]=>6
[1,0,1,1,0,0,1,0,1,0]=>5
[1,0,1,1,0,0,1,1,0,0]=>5
[1,0,1,1,0,1,0,0,1,0]=>5
[1,0,1,1,0,1,0,1,0,0]=>5
[1,0,1,1,0,1,1,0,0,0]=>6
[1,0,1,1,1,0,0,0,1,0]=>6
[1,0,1,1,1,0,0,1,0,0]=>6
[1,0,1,1,1,0,1,0,0,0]=>7
[1,0,1,1,1,1,0,0,0,0]=>7
[1,1,0,0,1,0,1,0,1,0]=>5
[1,1,0,0,1,0,1,1,0,0]=>5
[1,1,0,0,1,1,0,0,1,0]=>5
[1,1,0,0,1,1,0,1,0,0]=>5
[1,1,0,0,1,1,1,0,0,0]=>6
[1,1,0,1,0,0,1,0,1,0]=>5
[1,1,0,1,0,0,1,1,0,0]=>5
[1,1,0,1,0,1,0,0,1,0]=>5
[1,1,0,1,0,1,0,1,0,0]=>5
[1,1,0,1,0,1,1,0,0,0]=>6
[1,1,0,1,1,0,0,0,1,0]=>6
[1,1,0,1,1,0,0,1,0,0]=>6
[1,1,0,1,1,0,1,0,0,0]=>7
[1,1,0,1,1,1,0,0,0,0]=>7
[1,1,1,0,0,0,1,0,1,0]=>6
[1,1,1,0,0,0,1,1,0,0]=>6
[1,1,1,0,0,1,0,0,1,0]=>6
[1,1,1,0,0,1,0,1,0,0]=>6
[1,1,1,0,0,1,1,0,0,0]=>7
[1,1,1,0,1,0,0,0,1,0]=>7
[1,1,1,0,1,0,0,1,0,0]=>7
[1,1,1,0,1,0,1,0,0,0]=>8
[1,1,1,0,1,1,0,0,0,0]=>8
[1,1,1,1,0,0,0,0,1,0]=>7
[1,1,1,1,0,0,0,1,0,0]=>7
[1,1,1,1,0,0,1,0,0,0]=>8
[1,1,1,1,0,1,0,0,0,0]=>8
[1,1,1,1,1,0,0,0,0,0]=>9
[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]=>6
[1,0,1,0,1,0,1,1,0,0,1,0]=>6
[1,0,1,0,1,0,1,1,0,1,0,0]=>6
[1,0,1,0,1,0,1,1,1,0,0,0]=>7
[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]=>7
[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]=>8
[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]=>6
[1,0,1,1,0,0,1,0,1,1,0,0]=>6
[1,0,1,1,0,0,1,1,0,0,1,0]=>6
[1,0,1,1,0,0,1,1,0,1,0,0]=>6
[1,0,1,1,0,0,1,1,1,0,0,0]=>7
[1,0,1,1,0,1,0,0,1,0,1,0]=>6
[1,0,1,1,0,1,0,0,1,1,0,0]=>6
[1,0,1,1,0,1,0,1,0,0,1,0]=>6
[1,0,1,1,0,1,0,1,0,1,0,0]=>6
[1,0,1,1,0,1,0,1,1,0,0,0]=>7
[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]=>8
[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]=>7
[1,0,1,1,1,0,0,0,1,1,0,0]=>7
[1,0,1,1,1,0,0,1,0,0,1,0]=>7
[1,0,1,1,1,0,0,1,0,1,0,0]=>7
[1,0,1,1,1,0,0,1,1,0,0,0]=>8
[1,0,1,1,1,0,1,0,0,0,1,0]=>8
[1,0,1,1,1,0,1,0,0,1,0,0]=>8
[1,0,1,1,1,0,1,0,1,0,0,0]=>9
[1,0,1,1,1,0,1,1,0,0,0,0]=>9
[1,0,1,1,1,1,0,0,0,0,1,0]=>8
[1,0,1,1,1,1,0,0,0,1,0,0]=>8
[1,0,1,1,1,1,0,0,1,0,0,0]=>9
[1,0,1,1,1,1,0,1,0,0,0,0]=>9
[1,0,1,1,1,1,1,0,0,0,0,0]=>10
[1,1,0,0,1,0,1,0,1,0,1,0]=>6
[1,1,0,0,1,0,1,0,1,1,0,0]=>6
[1,1,0,0,1,0,1,1,0,0,1,0]=>6
[1,1,0,0,1,0,1,1,0,1,0,0]=>6
[1,1,0,0,1,0,1,1,1,0,0,0]=>7
[1,1,0,0,1,1,0,0,1,0,1,0]=>6
[1,1,0,0,1,1,0,0,1,1,0,0]=>6
[1,1,0,0,1,1,0,1,0,0,1,0]=>6
[1,1,0,0,1,1,0,1,0,1,0,0]=>6
[1,1,0,0,1,1,0,1,1,0,0,0]=>7
[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]=>8
[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]=>6
[1,1,0,1,0,0,1,0,1,1,0,0]=>6
[1,1,0,1,0,0,1,1,0,0,1,0]=>6
[1,1,0,1,0,0,1,1,0,1,0,0]=>6
[1,1,0,1,0,0,1,1,1,0,0,0]=>7
[1,1,0,1,0,1,0,0,1,0,1,0]=>6
[1,1,0,1,0,1,0,0,1,1,0,0]=>6
[1,1,0,1,0,1,0,1,0,0,1,0]=>6
[1,1,0,1,0,1,0,1,0,1,0,0]=>6
[1,1,0,1,0,1,0,1,1,0,0,0]=>7
[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]=>8
[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]=>7
[1,1,0,1,1,0,0,0,1,1,0,0]=>7
[1,1,0,1,1,0,0,1,0,0,1,0]=>7
[1,1,0,1,1,0,0,1,0,1,0,0]=>7
[1,1,0,1,1,0,0,1,1,0,0,0]=>8
[1,1,0,1,1,0,1,0,0,0,1,0]=>8
[1,1,0,1,1,0,1,0,0,1,0,0]=>8
[1,1,0,1,1,0,1,0,1,0,0,0]=>9
[1,1,0,1,1,0,1,1,0,0,0,0]=>9
[1,1,0,1,1,1,0,0,0,0,1,0]=>8
[1,1,0,1,1,1,0,0,0,1,0,0]=>8
[1,1,0,1,1,1,0,0,1,0,0,0]=>9
[1,1,0,1,1,1,0,1,0,0,0,0]=>9
[1,1,0,1,1,1,1,0,0,0,0,0]=>10
[1,1,1,0,0,0,1,0,1,0,1,0]=>7
[1,1,1,0,0,0,1,0,1,1,0,0]=>7
[1,1,1,0,0,0,1,1,0,0,1,0]=>7
[1,1,1,0,0,0,1,1,0,1,0,0]=>7
[1,1,1,0,0,0,1,1,1,0,0,0]=>8
[1,1,1,0,0,1,0,0,1,0,1,0]=>7
[1,1,1,0,0,1,0,0,1,1,0,0]=>7
[1,1,1,0,0,1,0,1,0,0,1,0]=>7
[1,1,1,0,0,1,0,1,0,1,0,0]=>7
[1,1,1,0,0,1,0,1,1,0,0,0]=>8
[1,1,1,0,0,1,1,0,0,0,1,0]=>8
[1,1,1,0,0,1,1,0,0,1,0,0]=>8
[1,1,1,0,0,1,1,0,1,0,0,0]=>9
[1,1,1,0,0,1,1,1,0,0,0,0]=>9
[1,1,1,0,1,0,0,0,1,0,1,0]=>8
[1,1,1,0,1,0,0,0,1,1,0,0]=>8
[1,1,1,0,1,0,0,1,0,0,1,0]=>8
[1,1,1,0,1,0,0,1,0,1,0,0]=>8
[1,1,1,0,1,0,0,1,1,0,0,0]=>9
[1,1,1,0,1,0,1,0,0,0,1,0]=>9
[1,1,1,0,1,0,1,0,0,1,0,0]=>9
[1,1,1,0,1,0,1,0,1,0,0,0]=>10
[1,1,1,0,1,0,1,1,0,0,0,0]=>10
[1,1,1,0,1,1,0,0,0,0,1,0]=>9
[1,1,1,0,1,1,0,0,0,1,0,0]=>9
[1,1,1,0,1,1,0,0,1,0,0,0]=>10
[1,1,1,0,1,1,0,1,0,0,0,0]=>10
[1,1,1,0,1,1,1,0,0,0,0,0]=>11
[1,1,1,1,0,0,0,0,1,0,1,0]=>8
[1,1,1,1,0,0,0,0,1,1,0,0]=>8
[1,1,1,1,0,0,0,1,0,0,1,0]=>8
[1,1,1,1,0,0,0,1,0,1,0,0]=>8
[1,1,1,1,0,0,0,1,1,0,0,0]=>9
[1,1,1,1,0,0,1,0,0,0,1,0]=>9
[1,1,1,1,0,0,1,0,0,1,0,0]=>9
[1,1,1,1,0,0,1,0,1,0,0,0]=>10
[1,1,1,1,0,0,1,1,0,0,0,0]=>10
[1,1,1,1,0,1,0,0,0,0,1,0]=>9
[1,1,1,1,0,1,0,0,0,1,0,0]=>9
[1,1,1,1,0,1,0,0,1,0,0,0]=>10
[1,1,1,1,0,1,0,1,0,0,0,0]=>10
[1,1,1,1,0,1,1,0,0,0,0,0]=>11
[1,1,1,1,1,0,0,0,0,0,1,0]=>10
[1,1,1,1,1,0,0,0,0,1,0,0]=>10
[1,1,1,1,1,0,0,0,1,0,0,0]=>11
[1,1,1,1,1,0,0,1,0,0,0,0]=>11
[1,1,1,1,1,0,1,0,0,0,0,0]=>12
[1,1,1,1,1,1,0,0,0,0,0,0]=>12
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>7
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>7
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>7
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>7
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>8
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>7
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>7
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>7
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>7
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>8
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>8
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>8
[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]=>9
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>7
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>7
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>7
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>7
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>8
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>7
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>7
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>7
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>7
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>8
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>8
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>8
[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]=>9
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>8
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>8
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>8
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>8
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>9
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>9
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>9
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>10
[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]=>9
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>9
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>10
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>10
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>11
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>7
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>7
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>7
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>7
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>8
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>7
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>7
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>7
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>8
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>8
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>8
[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]=>9
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>7
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>7
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>7
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>7
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>8
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>7
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>7
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>7
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>7
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>8
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>8
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>8
[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]=>9
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>8
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>8
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>8
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>8
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>9
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>9
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>9
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>10
[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]=>9
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>9
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>10
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>10
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>11
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>8
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>8
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>8
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>8
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>9
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>8
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>8
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>8
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>8
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>9
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>9
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>9
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>10
[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]=>9
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>9
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>9
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>9
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>10
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>10
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>10
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>11
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>11
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>10
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>10
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>11
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>11
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>12
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>9
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>9
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>9
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>9
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>10
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>10
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>10
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>11
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>11
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>10
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>10
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>11
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>11
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>12
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>11
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>11
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>12
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>12
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>13
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>13
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>7
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>7
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>7
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>7
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>8
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>7
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>7
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>7
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>7
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>8
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>8
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>8
[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]=>9
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>7
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>7
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>7
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>7
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>8
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>7
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>7
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>7
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>7
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>8
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>8
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>8
[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]=>9
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>8
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>8
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>8
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>8
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>9
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>9
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>9
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>10
[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]=>9
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>9
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>10
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>10
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>11
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>7
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>7
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>7
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>7
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>8
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>7
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>7
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>7
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>7
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>8
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>8
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>8
[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]=>9
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>7
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>7
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>7
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>7
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>8
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>7
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>7
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>7
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>7
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>8
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>8
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>8
[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]=>9
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>8
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>8
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>8
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>8
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>9
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>9
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>9
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>10
[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]=>9
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>9
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>10
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>10
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>11
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>8
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>8
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>8
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>8
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>9
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>8
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>8
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>8
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>8
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>9
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>9
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>9
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>10
[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]=>9
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>9
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>9
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>9
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>10
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>10
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>10
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>11
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>11
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>10
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>10
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>11
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>11
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>12
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>9
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>9
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>9
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>9
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>10
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>10
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>11
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>11
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>10
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>10
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>11
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>11
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>12
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>11
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>11
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>12
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>12
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>13
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>13
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>8
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>8
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>8
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>8
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>9
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>8
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>8
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>8
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>8
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>9
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>9
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>9
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>10
[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]=>8
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>8
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>8
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>8
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>9
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>8
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>8
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>8
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>8
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>9
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>9
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>9
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>10
[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]=>9
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>9
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>9
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>9
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>10
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>10
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>10
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>11
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>11
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>10
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>10
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>11
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>11
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>12
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>9
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>9
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>9
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>9
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>10
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>9
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>9
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>9
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>9
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>10
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>10
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>10
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>11
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>11
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>10
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>10
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>10
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>10
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>11
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>11
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>11
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>12
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>12
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>11
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>11
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>12
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>12
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>13
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>10
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>10
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>10
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>10
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>11
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>11
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>11
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>12
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>12
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>11
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>11
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>12
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>12
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>13
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>12
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>12
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>13
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>13
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>14
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>14
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>9
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>9
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>9
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>9
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>10
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>9
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>9
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>9
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>9
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>10
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>10
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>10
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>11
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>11
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>10
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>10
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>10
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>10
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>11
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>11
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>11
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>12
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>12
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>11
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>11
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>12
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>12
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>13
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>10
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>10
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>10
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>10
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>11
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>11
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>11
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>12
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>12
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>11
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>11
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>12
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>12
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>13
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>12
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>12
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>13
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>13
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>14
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>14
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>11
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>11
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>11
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>11
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>12
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>12
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>12
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>13
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>13
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>12
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>12
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>13
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>13
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>14
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>13
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>13
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>14
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>14
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>15
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>13
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>13
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>14
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>14
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>15
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>15
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>16
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>8
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>8
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>8
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>8
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>9
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>8
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>8
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>8
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>8
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>9
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>9
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>9
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>10
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>10
[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]=>9
[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]=>9
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>9
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>9
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>10
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>10
[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]=>10
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>10
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>10
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>11
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>11
[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]=>11
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>11
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>12
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>8
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>8
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>8
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>8
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>9
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>8
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>8
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>8
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>8
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>9
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>9
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>9
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>10
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>10
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>8
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>8
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>8
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>8
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>9
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>8
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>8
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>8
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>8
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>9
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>9
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>9
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>10
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>10
[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]=>10
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>10
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>10
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>11
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>11
[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]=>11
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>11
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>12
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>9
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>9
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>9
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>9
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>10
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>9
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>9
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>9
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>9
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>10
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>10
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>10
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>11
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>11
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>10
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>10
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>10
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>10
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>11
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>11
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>11
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>12
[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]=>11
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>11
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>12
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>12
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>13
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>10
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>10
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>10
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>10
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>11
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>11
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>11
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>12
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>12
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>11
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>11
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>12
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>12
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>13
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>12
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>12
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>13
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>13
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>14
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>14
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>8
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>8
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>8
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>8
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>9
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>8
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>8
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>8
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>8
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>9
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>9
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>9
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>10
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>10
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>8
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>8
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>8
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>8
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>9
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>8
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>8
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>8
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>8
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>9
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>9
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>9
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>10
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>10
[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]=>10
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>10
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>10
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>11
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>11
[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]=>11
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>11
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>12
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>8
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>8
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>8
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>8
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>9
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>8
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>8
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>8
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>8
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>9
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>9
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>9
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>10
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>10
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>8
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>8
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>8
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>8
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>9
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>8
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>8
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>8
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>8
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>9
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>9
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>9
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>10
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>10
[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]=>10
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>10
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>10
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>11
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>11
[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]=>11
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>11
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>12
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>9
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>9
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>9
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>9
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>10
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>9
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>9
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>9
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>9
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>10
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>10
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>10
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>11
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>11
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>10
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>10
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>10
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>10
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>11
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>11
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>11
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>12
[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]=>11
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>11
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>12
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>12
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>13
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>10
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>10
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>10
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>10
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>11
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>11
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>11
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>12
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>12
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>11
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>11
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>12
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>12
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>13
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>12
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>12
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>13
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>13
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>14
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>14
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>9
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>9
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>9
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>9
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>10
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>9
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>9
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>9
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>9
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>10
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>10
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>10
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>11
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>11
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>9
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>9
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>9
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>9
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>10
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>9
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>9
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>9
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>9
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>10
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>10
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>10
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>11
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>11
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>10
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>10
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>10
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>10
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>11
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>11
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>11
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>12
[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]=>11
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>11
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>12
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>12
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>13
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>10
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>10
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>10
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>10
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>11
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>10
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>10
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>10
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>10
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>11
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>11
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>11
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>12
[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]=>11
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>11
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>11
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>11
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>12
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>12
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>12
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>13
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>13
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>12
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>12
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>13
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>13
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>14
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>11
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>11
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>11
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>11
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>12
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>12
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>12
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>13
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>13
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>12
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>12
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>13
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>13
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>14
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>13
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>13
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>14
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>14
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>15
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>10
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>10
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>10
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>10
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>11
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>10
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>10
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>10
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>10
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>11
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>11
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>11
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>12
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>12
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>11
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>11
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>11
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>11
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>12
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>12
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>12
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>13
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>13
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>12
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>13
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>13
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>14
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>11
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>11
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>11
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>11
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>12
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>12
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>12
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>13
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>13
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>12
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>12
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>13
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>13
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>14
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>13
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>13
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>14
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>14
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>15
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>15
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>12
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>12
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>12
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>12
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>13
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>13
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>13
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>14
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>14
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>13
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>13
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>14
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>14
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>15
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>14
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>14
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>15
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>16
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>16
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>14
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>14
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>15
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>15
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>16
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>16
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>17
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>8
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>8
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>8
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>8
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>9
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>8
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>8
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>8
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>8
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>9
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>9
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>9
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>10
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>10
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>8
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>8
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>8
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>8
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>9
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>8
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>8
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>8
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>8
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>9
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>9
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>9
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>10
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>10
[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]=>10
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>10
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>10
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>11
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>11
[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]=>11
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>11
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>12
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>8
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>8
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>8
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>8
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>9
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>8
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>8
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>8
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>8
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>9
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>9
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>9
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>10
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>10
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>8
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>8
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>8
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>8
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>9
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>8
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>8
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>8
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>8
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>9
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>9
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>9
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>10
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>10
[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]=>10
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>10
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>10
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>11
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>11
[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]=>11
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>11
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>12
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>9
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>9
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>9
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>9
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>10
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>9
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>9
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>9
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>9
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>10
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>10
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>10
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>11
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>11
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>10
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>10
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>10
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>10
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>11
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>11
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>11
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>12
[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]=>11
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>11
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>12
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>12
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>13
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>10
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>10
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>10
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>10
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>11
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>11
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>11
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>12
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>12
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>11
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>11
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>12
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>12
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>13
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>12
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>12
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>13
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>13
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>14
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>14
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>8
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>8
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>8
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>8
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>9
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>8
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>8
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>8
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>8
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>9
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>9
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>9
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>10
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>10
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>8
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>8
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>8
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>10
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>9
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>9
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>10
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>10
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>11
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>11
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>12
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>8
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>8
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>9
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>8
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>8
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>8
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>9
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>10
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>8
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>8
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>8
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>8
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>9
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>8
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>8
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>8
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>8
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>9
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>9
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>9
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>10
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>10
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>9
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>9
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>10
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>10
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>11
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>11
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>10
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>10
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>11
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>11
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>12
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>9
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>9
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>10
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>10
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>11
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>10
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>10
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>11
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>12
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>12
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>10
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>10
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>11
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>12
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>12
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>12
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>13
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>12
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>12
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>13
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>14
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>14
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>9
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>9
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>9
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>9
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>9
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>10
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>9
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>10
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>10
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>11
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>10
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>10
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>10
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>11
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>11
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>12
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>12
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>13
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>10
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>10
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>10
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>11
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>12
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>12
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>13
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>13
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>12
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>13
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>15
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>10
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>10
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>11
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>11
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>12
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>11
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>13
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>13
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>12
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>13
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>13
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>13
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>14
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>15
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>15
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>12
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>12
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>13
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>14
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>15
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>15
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>16
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>16
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>14
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>14
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>15
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>15
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>16
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>16
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>17
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>9
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>9
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>9
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>11
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>12
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>12
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>11
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>12
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>13
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>9
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>11
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>9
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>9
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>9
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>9
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>10
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>10
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>11
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>10
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>11
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>11
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>13
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>10
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>11
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>11
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>13
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>11
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>13
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>15
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>15
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>10
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>10
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>10
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>12
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>12
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>10
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>10
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>10
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>12
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>11
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>11
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>11
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>11
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>11
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>11
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>12
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>12
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>13
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>13
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>13
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>14
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>14
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>14
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>14
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>15
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>12
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>12
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>14
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>14
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>13
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>14
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>14
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>15
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>15
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>15
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>16
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>16
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>12
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>14
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>14
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>14
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>14
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>15
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>12
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>12
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>14
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>14
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>13
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>14
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>14
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>15
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>15
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>15
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>16
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>16
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>13
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>13
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>15
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>15
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>14
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>15
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>15
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>16
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>15
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>16
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>16
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>17
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>17
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>15
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>16
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>16
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>17
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>17
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>18
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>10
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>10
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>10
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>12
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>12
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>10
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>10
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>10
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>10
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>11
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>11
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>12
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>11
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>12
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>12
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>13
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>14
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>11
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>12
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>13
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>14
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>14
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>14
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>14
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>15
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>14
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>14
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>14
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>14
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>15
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>15
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>15
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>16
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>16
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>12
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>11
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>12
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>14
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>14
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>14
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>14
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>15
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>12
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>12
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>14
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>14
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>13
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>14
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>14
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>15
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>14
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>15
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>15
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>16
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>16
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>13
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>15
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>15
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>15
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>15
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>16
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>15
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>16
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>16
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>17
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>17
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>15
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>15
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>16
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>16
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>17
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>17
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>18
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>12
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>12
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>13
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>12
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>12
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>12
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>13
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>13
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>14
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>14
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>13
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>13
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>15
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>15
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>14
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>15
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>15
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>16
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>13
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>15
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>15
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>15
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>15
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>16
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>15
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>15
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>16
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>16
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>17
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>17
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>14
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>15
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>16
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>16
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>15
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>16
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>16
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>17
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>16
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>16
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>17
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>17
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>18
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>18
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>16
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>16
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>17
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>17
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>18
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>18
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>19
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>14
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>14
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>14
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>14
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>15
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>15
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>15
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>16
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>16
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>15
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>15
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>16
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>17
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>16
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>16
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>17
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>17
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>18
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>18
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>16
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>16
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>17
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>17
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>18
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>18
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>19
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>17
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>17
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>18
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>18
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>19
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>19
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>20
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>20
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>21
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>21
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>21
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>21
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>20
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>20
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>20
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>20
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>20
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>19
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>19
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>19
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>18
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>18
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>18
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>19
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>18
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>18
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>18
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>17
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>17
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>18
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>17
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>17
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>17
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>17
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>16
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>9
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>10
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>10
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>11
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>11
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>10
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>11
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>12
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>12
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>11
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>12
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>12
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>13
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>10
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>13
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>13
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>13
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>13
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>14
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>12
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>14
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>14
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>14
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>14
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>15
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>10
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>12
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>13
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>14
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>15
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>15
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>15
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>15
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>16
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>20
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>19
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>20
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>18
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>20
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>20
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>21
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>21
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>10
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>11
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>15
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>16
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>17
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>20
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>22
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>16
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]=>16
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>16
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>16
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]=>16
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>16
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>17
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>20
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>22
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]=>17
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]=>17
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>17
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>21
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>22
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>20
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>22
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>23
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>23
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>21
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]=>21
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0]=>21
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]=>19
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>22
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>20
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>22
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>23
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>23
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0]=>20
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>20
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>22
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>22
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>21
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>24
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>24
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>21
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>22
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>22
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>23
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>23
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>24
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>24
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>25
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>9
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>9
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>9
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>9
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>9
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>9
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>9
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>9
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>10
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>10
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>10
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>10
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>10
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>10
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>11
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>11
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>12
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>12
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>12
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>12
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>13
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>13
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>13
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>14
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>14
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>14
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>14
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>15
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>15
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>15
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>9
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>10
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>9
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>9
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>9
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>10
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>15
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>9
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>9
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>9
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>9
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>15
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>10
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>15
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>15
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>9
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>9
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>9
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>9
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>9
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>15
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>10
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>10
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>16
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>11
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>15
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>13
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>15
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>15
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>16
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>9
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>9
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>9
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>9
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>9
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>9
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>10
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>10
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>10
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>10
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>10
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>9
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>9
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>9
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>9
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>15
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>14
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>13
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>12
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>11
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>15
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]=>13
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>11
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>10
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>14
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>14
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>14
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>15
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>15
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]=>14
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]=>16
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>9
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>9
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>9
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>9
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>15
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>10
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>10
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>9
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>9
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>10
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>11
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>12
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>13
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>14
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>15
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>16
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>15
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]=>15
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]=>14
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>15
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]=>15
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>16
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>9
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>9
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>9
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>9
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>9
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>10
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>11
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>12
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>11
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>10
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>9
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>12
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>13
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>11
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>11
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>10
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>10
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>9
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>15
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>15
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>14
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>14
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>14
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>14
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>26
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>26
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>25
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>25
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>25
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>25
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>25
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>22
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>22
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>22
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>22
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>22
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]=>22
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>22
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>22
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>10
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>10
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>10
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>10
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>10
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>10
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>10
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>10
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>10
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>10
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>11
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>14
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>17
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>17
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>17
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>10
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>10
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>10
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>10
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>19
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>10
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>19
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>10
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>10
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>10
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>11
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>20
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>12
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>18
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>14
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>18
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>16
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>18
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>19
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>20
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>30
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>10
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>10
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>10
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>10
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>10
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>10
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>10
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>24
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]=>24
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>19
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>19
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>11
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>29
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>29
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>28
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>28
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>10
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>26
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>26
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>25
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>30
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>29
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>28
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>28
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>27
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>27
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>17
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>10
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>10
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>13
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>12
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>11
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>22
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>12
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>13
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>14
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>15
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>16
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>17
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>18
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>27
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>27
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>28
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>28
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>29
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>14
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0]=>25
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>25
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>11
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>12
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>13
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>14
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>13
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>12
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>11
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>10
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>12
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>13
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>15
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>16
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>18
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>13
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>14
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>15
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>16
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>17
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>18
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>18
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>18
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>16
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>18
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>18
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>16
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>16
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>16
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>16
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>18
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>18
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>16
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>18
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>18
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>14
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>14
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>14
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>14
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>14
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>14
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>14
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>14
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>14
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>14
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>14
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>14
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>14
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>14
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>18
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>18
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>16
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>18
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>18
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>16
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>16
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>16
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>16
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>18
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>18
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>16
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>18
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>18
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>17
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]=>28
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>25
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0]=>25
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0]=>25
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>25
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>25
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>18
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>18
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>31
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>31
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>11
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>11
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>11
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>27
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>27
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>11
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]=>35
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>35
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>31
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>35
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0]=>31
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>31
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>12
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>13
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>14
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>15
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>16
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>17
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>18
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>19
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>20
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>36
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>27
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>31
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>27
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>23
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>23
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>24
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>24
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>24
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>24
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>24
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>22
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>22
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>22
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>22
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>24
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>24
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>24
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>24
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>24
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>22
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>22
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>20
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>22
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>22
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>20
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>20
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>20
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>20
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]=>22
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>22
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>20
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>22
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>22
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>24
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>24
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>24
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>24
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>24
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>22
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>22
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>22
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>22
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>24
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>24
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>24
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>24
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>24
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>20
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>20
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>18
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>20
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>20
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>18
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>18
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>18
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>18
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>20
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>20
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>18
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>20
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>20
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>18
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>18
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>18
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>18
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>18
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>18
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>18
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>18
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>18
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>18
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]=>18
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>18
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>18
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>18
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>18
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>18
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>18
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>18
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>18
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>18
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>20
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>20
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>18
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>20
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>20
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>18
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>18
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>18
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>18
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>20
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>20
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>18
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>20
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>20
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>24
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>24
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>24
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>24
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0]=>24
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>22
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>22
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>22
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>22
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]=>24
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]=>24
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>24
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]=>24
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>24
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>22
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>22
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>20
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>22
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>22
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>20
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>20
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>20
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>20
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0]=>22
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>22
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>20
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>22
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>22
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>24
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0]=>24
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>24
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]=>24
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>24
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>22
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>22
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>22
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>22
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]=>24
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>24
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>24
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>24
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>24
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0]=>37
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>37
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Description
The area of the parallelogram polyomino associated with the Dyck path.
The (bivariate) generating function is given in [1].
The (bivariate) generating function is given in [1].
References
[1] Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n such that the sum of the height of the peaks is k (n>=0; n<=k<=floor((n+1)^2/4)). OEIS:A129183
Code
# depends on https://trac.sagemath.org/ticket/16110 def statistic(D): return ParallelogramPolyomino.from_dyck_word(D).area()
Created
Nov 06, 2017 at 10:53 by Martin Rubey
Updated
Feb 05, 2022 at 21:55 by Martin Rubey
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