Identifier
- St000984: Dyck paths ⟶ ℤ
Values
=>
Cc0005;cc-rep
[1,0,1,0]=>0
[1,1,0,0]=>1
[1,0,1,0,1,0]=>0
[1,0,1,1,0,0]=>1
[1,1,0,0,1,0]=>1
[1,1,0,1,0,0]=>2
[1,1,1,0,0,0]=>3
[1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,1,0,0]=>1
[1,0,1,1,0,0,1,0]=>1
[1,0,1,1,0,1,0,0]=>2
[1,0,1,1,1,0,0,0]=>3
[1,1,0,0,1,0,1,0]=>1
[1,1,0,0,1,1,0,0]=>2
[1,1,0,1,0,0,1,0]=>2
[1,1,0,1,0,1,0,0]=>3
[1,1,0,1,1,0,0,0]=>4
[1,1,1,0,0,0,1,0]=>3
[1,1,1,0,0,1,0,0]=>4
[1,1,1,0,1,0,0,0]=>4
[1,1,1,1,0,0,0,0]=>6
[1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,0,1,1,0,0,1,0]=>1
[1,0,1,0,1,1,0,1,0,0]=>2
[1,0,1,0,1,1,1,0,0,0]=>3
[1,0,1,1,0,0,1,0,1,0]=>1
[1,0,1,1,0,0,1,1,0,0]=>2
[1,0,1,1,0,1,0,0,1,0]=>2
[1,0,1,1,0,1,0,1,0,0]=>3
[1,0,1,1,0,1,1,0,0,0]=>4
[1,0,1,1,1,0,0,0,1,0]=>3
[1,0,1,1,1,0,0,1,0,0]=>4
[1,0,1,1,1,0,1,0,0,0]=>4
[1,0,1,1,1,1,0,0,0,0]=>6
[1,1,0,0,1,0,1,0,1,0]=>1
[1,1,0,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,1,0,0,1,0]=>2
[1,1,0,0,1,1,0,1,0,0]=>3
[1,1,0,0,1,1,1,0,0,0]=>4
[1,1,0,1,0,0,1,0,1,0]=>2
[1,1,0,1,0,0,1,1,0,0]=>3
[1,1,0,1,0,1,0,0,1,0]=>3
[1,1,0,1,0,1,0,1,0,0]=>4
[1,1,0,1,0,1,1,0,0,0]=>5
[1,1,0,1,1,0,0,0,1,0]=>4
[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]=>7
[1,1,1,0,0,0,1,0,1,0]=>3
[1,1,1,0,0,0,1,1,0,0]=>4
[1,1,1,0,0,1,0,0,1,0]=>4
[1,1,1,0,0,1,0,1,0,0]=>5
[1,1,1,0,0,1,1,0,0,0]=>6
[1,1,1,0,1,0,0,0,1,0]=>4
[1,1,1,0,1,0,0,1,0,0]=>5
[1,1,1,0,1,0,1,0,0,0]=>5
[1,1,1,0,1,1,0,0,0,0]=>7
[1,1,1,1,0,0,0,0,1,0]=>6
[1,1,1,1,0,0,0,1,0,0]=>7
[1,1,1,1,0,0,1,0,0,0]=>7
[1,1,1,1,0,1,0,0,0,0]=>6
[1,1,1,1,1,0,0,0,0,0]=>10
[1,0,1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,0,1,0,1,1,0,0,1,0]=>1
[1,0,1,0,1,0,1,1,0,1,0,0]=>2
[1,0,1,0,1,0,1,1,1,0,0,0]=>3
[1,0,1,0,1,1,0,0,1,0,1,0]=>1
[1,0,1,0,1,1,0,0,1,1,0,0]=>2
[1,0,1,0,1,1,0,1,0,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,1,0,0]=>3
[1,0,1,0,1,1,0,1,1,0,0,0]=>4
[1,0,1,0,1,1,1,0,0,0,1,0]=>3
[1,0,1,0,1,1,1,0,0,1,0,0]=>4
[1,0,1,0,1,1,1,0,1,0,0,0]=>4
[1,0,1,0,1,1,1,1,0,0,0,0]=>6
[1,0,1,1,0,0,1,0,1,0,1,0]=>1
[1,0,1,1,0,0,1,0,1,1,0,0]=>2
[1,0,1,1,0,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,0,1,1,0,1,0,0]=>3
[1,0,1,1,0,0,1,1,1,0,0,0]=>4
[1,0,1,1,0,1,0,0,1,0,1,0]=>2
[1,0,1,1,0,1,0,0,1,1,0,0]=>3
[1,0,1,1,0,1,0,1,0,0,1,0]=>3
[1,0,1,1,0,1,0,1,0,1,0,0]=>4
[1,0,1,1,0,1,0,1,1,0,0,0]=>5
[1,0,1,1,0,1,1,0,0,0,1,0]=>4
[1,0,1,1,0,1,1,0,0,1,0,0]=>5
[1,0,1,1,0,1,1,0,1,0,0,0]=>5
[1,0,1,1,0,1,1,1,0,0,0,0]=>7
[1,0,1,1,1,0,0,0,1,0,1,0]=>3
[1,0,1,1,1,0,0,0,1,1,0,0]=>4
[1,0,1,1,1,0,0,1,0,0,1,0]=>4
[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]=>6
[1,0,1,1,1,0,1,0,0,0,1,0]=>4
[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]=>7
[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]=>7
[1,0,1,1,1,1,0,0,1,0,0,0]=>7
[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]=>10
[1,1,0,0,1,0,1,0,1,0,1,0]=>1
[1,1,0,0,1,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,0,1,1,0,0,1,0]=>2
[1,1,0,0,1,0,1,1,0,1,0,0]=>3
[1,1,0,0,1,0,1,1,1,0,0,0]=>4
[1,1,0,0,1,1,0,0,1,0,1,0]=>2
[1,1,0,0,1,1,0,0,1,1,0,0]=>3
[1,1,0,0,1,1,0,1,0,0,1,0]=>3
[1,1,0,0,1,1,0,1,0,1,0,0]=>4
[1,1,0,0,1,1,0,1,1,0,0,0]=>5
[1,1,0,0,1,1,1,0,0,0,1,0]=>4
[1,1,0,0,1,1,1,0,0,1,0,0]=>5
[1,1,0,0,1,1,1,0,1,0,0,0]=>5
[1,1,0,0,1,1,1,1,0,0,0,0]=>7
[1,1,0,1,0,0,1,0,1,0,1,0]=>2
[1,1,0,1,0,0,1,0,1,1,0,0]=>3
[1,1,0,1,0,0,1,1,0,0,1,0]=>3
[1,1,0,1,0,0,1,1,0,1,0,0]=>4
[1,1,0,1,0,0,1,1,1,0,0,0]=>5
[1,1,0,1,0,1,0,0,1,0,1,0]=>3
[1,1,0,1,0,1,0,0,1,1,0,0]=>4
[1,1,0,1,0,1,0,1,0,0,1,0]=>4
[1,1,0,1,0,1,0,1,0,1,0,0]=>5
[1,1,0,1,0,1,0,1,1,0,0,0]=>6
[1,1,0,1,0,1,1,0,0,0,1,0]=>5
[1,1,0,1,0,1,1,0,0,1,0,0]=>6
[1,1,0,1,0,1,1,0,1,0,0,0]=>6
[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]=>4
[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]=>6
[1,1,0,1,1,0,0,1,1,0,0,0]=>7
[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]=>6
[1,1,0,1,1,0,1,0,1,0,0,0]=>6
[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]=>7
[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]=>8
[1,1,0,1,1,1,0,1,0,0,0,0]=>7
[1,1,0,1,1,1,1,0,0,0,0,0]=>11
[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]=>4
[1,1,1,0,0,0,1,1,0,0,1,0]=>4
[1,1,1,0,0,0,1,1,0,1,0,0]=>5
[1,1,1,0,0,0,1,1,1,0,0,0]=>6
[1,1,1,0,0,1,0,0,1,0,1,0]=>4
[1,1,1,0,0,1,0,0,1,1,0,0]=>5
[1,1,1,0,0,1,0,1,0,0,1,0]=>5
[1,1,1,0,0,1,0,1,0,1,0,0]=>6
[1,1,1,0,0,1,0,1,1,0,0,0]=>7
[1,1,1,0,0,1,1,0,0,0,1,0]=>6
[1,1,1,0,0,1,1,0,0,1,0,0]=>7
[1,1,1,0,0,1,1,0,1,0,0,0]=>7
[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]=>4
[1,1,1,0,1,0,0,0,1,1,0,0]=>5
[1,1,1,0,1,0,0,1,0,0,1,0]=>5
[1,1,1,0,1,0,0,1,0,1,0,0]=>6
[1,1,1,0,1,0,0,1,1,0,0,0]=>7
[1,1,1,0,1,0,1,0,0,0,1,0]=>5
[1,1,1,0,1,0,1,0,0,1,0,0]=>6
[1,1,1,0,1,0,1,0,1,0,0,0]=>6
[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]=>7
[1,1,1,0,1,1,0,0,0,1,0,0]=>8
[1,1,1,0,1,1,0,0,1,0,0,0]=>8
[1,1,1,0,1,1,0,1,0,0,0,0]=>7
[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]=>6
[1,1,1,1,0,0,0,0,1,1,0,0]=>7
[1,1,1,1,0,0,0,1,0,0,1,0]=>7
[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]=>7
[1,1,1,1,0,0,1,0,0,1,0,0]=>8
[1,1,1,1,0,0,1,0,1,0,0,0]=>8
[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]=>6
[1,1,1,1,0,1,0,0,0,1,0,0]=>7
[1,1,1,1,0,1,0,0,1,0,0,0]=>7
[1,1,1,1,0,1,0,1,0,0,0,0]=>7
[1,1,1,1,0,1,1,0,0,0,0,0]=>10
[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]=>11
[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]=>10
[1,1,1,1,1,0,1,0,0,0,0,0]=>8
[1,1,1,1,1,1,0,0,0,0,0,0]=>15
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>1
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>2
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>2
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>3
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>4
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>3
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>4
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>4
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>6
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>1
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>2
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>2
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>3
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>4
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>3
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>3
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>4
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>5
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>4
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>5
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>5
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>7
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>3
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>4
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>4
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>5
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>6
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>4
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>5
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>5
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>7
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>6
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>7
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>7
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>6
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>10
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>1
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>2
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>3
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>4
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>2
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>3
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>3
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>4
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>5
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>5
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>5
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>7
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>2
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>3
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>3
[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]=>5
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>3
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>4
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>4
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>5
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>6
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>5
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>6
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>6
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>8
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>4
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>5
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>5
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>6
[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]=>5
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>6
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>6
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>8
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>7
[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]=>7
[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]=>3
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>4
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4
[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]=>6
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>4
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>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]=>6
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>7
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>6
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>7
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>7
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>4
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>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]=>6
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>7
[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]=>6
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>6
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>8
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>7
[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]=>7
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>11
[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]=>7
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>7
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>8
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>9
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>7
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>8
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>8
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10
[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]=>7
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>7
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>7
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>10
[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]=>11
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>10
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>8
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>15
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>1
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>2
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>3
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>4
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>2
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>3
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>3
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>4
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>5
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>5
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>5
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>7
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>2
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>3
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>3
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>4
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>3
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>4
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>4
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>5
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>6
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>5
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>6
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>6
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>8
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>5
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>6
[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]=>5
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>6
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>6
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>8
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>7
[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]=>7
[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]=>2
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>3
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>3
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>4
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>5
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>3
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>4
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>4
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>5
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>6
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>5
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>6
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>6
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>8
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>3
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>4
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>4
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>5
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>6
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>4
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>5
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>5
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>6
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>7
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>6
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>7
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>7
[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]=>5
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>6
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>6
[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]=>8
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>6
[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]=>9
[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]=>9
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>9
[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]=>12
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>4
[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]=>6
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7
[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]=>6
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>6
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>7
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>8
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>7
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>8
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>8
[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]=>6
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>6
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>7
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>8
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>6
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>7
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>7
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>9
[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]=>9
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>9
[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]=>12
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>7
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>8
[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]=>8
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>9
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>9
[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]=>7
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>8
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>8
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>8
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>11
[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]=>12
[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]=>11
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>9
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>16
[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]=>4
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>5
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>6
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>5
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>6
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>7
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>6
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>7
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>7
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>9
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>4
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>5
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>5
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>6
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>7
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>5
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>6
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>6
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>7
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>8
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>7
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>8
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>8
[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]=>6
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>7
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>7
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>8
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>9
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>7
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>8
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>8
[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]=>9
[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]=>10
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>9
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>13
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>4
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>5
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>5
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>6
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>7
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>5
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>6
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>6
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>7
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>8
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>7
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>8
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>8
[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]=>5
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>6
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>6
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>7
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>8
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>6
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>7
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>7
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>9
[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]=>9
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>9
[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]=>12
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>7
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>8
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>8
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>9
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>10
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>8
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>9
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>9
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>11
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>7
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>8
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>8
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>8
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>11
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>11
[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]=>12
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>11
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>9
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>16
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>6
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>7
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>7
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>8
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>9
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>7
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>8
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>8
[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]=>9
[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]=>10
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>12
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>7
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>8
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>8
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>9
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>10
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>8
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>9
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>9
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>11
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>10
[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]=>11
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>10
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>14
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>6
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>7
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>7
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>8
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>9
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>7
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>8
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>8
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>10
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>7
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>8
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>8
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>8
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>11
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>11
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>11
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>10
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>9
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>15
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>10
[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]=>12
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>13
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>11
[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]=>12
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>14
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>10
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>11
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>11
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>11
[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]=>8
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>9
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>9
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>9
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>9
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>13
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>15
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>16
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>16
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>15
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>13
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>10
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>21
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>1
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>2
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>2
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>3
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>4
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>3
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>4
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>4
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>6
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>1
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>2
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>2
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>3
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>4
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>2
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>3
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>3
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>4
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>5
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>4
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>5
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>5
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>7
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>3
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>4
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>4
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>5
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>6
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>4
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>5
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>5
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>7
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>6
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>7
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>7
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>6
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>10
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>1
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>2
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>2
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>3
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>4
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>2
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>3
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>3
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>4
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>5
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>5
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>5
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>7
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>3
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>3
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>4
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>5
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>3
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>4
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>4
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>5
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>6
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>5
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>6
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>6
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>8
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>4
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>5
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>5
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>6
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>7
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>5
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>6
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>6
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>8
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>7
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>8
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>8
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>7
[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]=>3
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>4
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>5
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>4
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>5
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>5
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>6
[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]=>6
[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]=>9
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>4
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>5
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>5
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>6
[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]=>5
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>6
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>6
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>8
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>7
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>8
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>8
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>7
[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]=>6
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>7
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>7
[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]=>9
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>7
[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]=>10
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>6
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>7
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>7
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>7
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>10
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>11
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>11
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>10
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>8
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>15
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>1
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>2
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>3
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>4
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>2
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>3
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>3
[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]=>5
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>5
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>5
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>7
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>2
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>3
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>3
[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]=>5
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>3
[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]=>5
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>6
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>5
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>6
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>6
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>8
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>5
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>6
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>5
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>6
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>6
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>8
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>7
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>8
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>8
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>7
[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]=>2
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>3
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>3
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>4
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>5
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>3
[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]=>5
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>6
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>5
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>6
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>6
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>8
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>3
[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]=>5
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>6
[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]=>5
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>5
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>6
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>7
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>6
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>7
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>7
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>9
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>5
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>6
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>6
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>7
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>8
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>6
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>7
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>7
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>9
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>8
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>9
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>9
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>8
[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]=>4
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>5
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>5
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>6
[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]=>5
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>6
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>6
[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]=>8
[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]=>8
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>8
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>10
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>5
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>6
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>6
[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]=>8
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>6
[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]=>9
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>8
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>9
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>9
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>8
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>12
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>7
[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]=>9
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10
[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]=>9
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>9
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>11
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>7
[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]=>11
[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]=>12
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>11
[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]=>16
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>3
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>4
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4
[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]=>6
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4
[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]=>6
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>7
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>6
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>7
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>7
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>9
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>4
[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]=>6
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>7
[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]=>6
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>6
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>7
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>8
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>7
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>8
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>8
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>10
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>6
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>7
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>7
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>8
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>9
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>7
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>8
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>8
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>10
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>9
[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]=>9
[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]=>4
[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]=>6
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>7
[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]=>6
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>6
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>7
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>8
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>7
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>8
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>8
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>10
[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]=>6
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>6
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>7
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>8
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>6
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>7
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>7
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>9
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>8
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>9
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>9
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>8
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>12
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>7
[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]=>9
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>10
[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]=>9
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>9
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>11
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>7
[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]=>11
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>12
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>12
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>11
[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]=>16
[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]=>7
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>7
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>8
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>9
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>7
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>8
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>8
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>9
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>10
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>9
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>10
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>10
[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]=>7
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>8
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>8
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>9
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>10
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>8
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>9
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>9
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>11
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>10
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>11
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>11
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>10
[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]=>6
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>7
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>7
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>8
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>9
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>7
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>8
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>8
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>10
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>7
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>8
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>8
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>8
[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]=>10
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>11
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>11
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>10
[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]=>15
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>10
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>11
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>11
[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]=>11
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>12
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>12
[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]=>10
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>11
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>11
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>11
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>14
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>8
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>9
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>9
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>9
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>9
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>13
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>15
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>16
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>16
[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]=>13
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>10
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>21
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>3
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>4
[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]=>3
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>3
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>4
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>5
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>5
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>5
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>7
[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]=>3
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>3
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>4
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>3
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>4
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>4
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>5
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>6
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>5
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>6
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>6
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>8
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>5
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>6
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>7
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>5
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>6
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>6
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>8
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>7
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>8
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>8
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>7
[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]=>3
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>3
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>4
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>3
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>4
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>4
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>5
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>6
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>5
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>6
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>6
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>8
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>3
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>4
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>4
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>5
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>6
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>4
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>5
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>5
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>6
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>7
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>6
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>7
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>7
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>9
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>5
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>6
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>6
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>7
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>8
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>6
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>7
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>7
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>9
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>8
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>9
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>9
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>8
[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]=>4
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>5
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>6
[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]=>5
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>6
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>6
[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]=>8
[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]=>8
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>8
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>10
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>5
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>6
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>6
[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]=>8
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>6
[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]=>9
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>8
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>9
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>9
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>8
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>12
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>7
[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]=>9
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>10
[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]=>9
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>9
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>11
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>7
[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]=>11
[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]=>12
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>11
[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]=>16
[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]=>3
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>3
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>4
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>5
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>3
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>4
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>4
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>5
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>6
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>5
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>6
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>6
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>8
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>3
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Description
The number of boxes below precisely one peak.
Imagine that each peak of the Dyck path, drawn with north and east steps, casts a shadow onto the triangular region between it and the diagonal. This statistic is the number of cells which are in the shade of precisely one peak.
Imagine that each peak of the Dyck path, drawn with north and east steps, casts a shadow onto the triangular region between it and the diagonal. This statistic is the number of cells which are in the shade of precisely one peak.
Code
def cells(D): n = len(D)/2 + 1 a = list(reversed(D.reverse().to_area_sequence())) return [ (i,j) for j in range(1,n) for i in range(j) if j <= i+a[i]+1 ] def peaks(D): ps = [] for x in D.peaks(): x += 1 i = D[:x].count(0) j = x-i-1 if i < j: ps.append( (i,j) ) return ps def statistic(D): cs = cells(D) ps = peaks(D) return len([c for c in cs if sum( 1 for p in ps if p[0] <= c[0] < c[1] <= p[1] ) == 1])
Created
Sep 13, 2017 at 16:11 by Martin Rubey
Updated
Sep 13, 2017 at 16:11 by Martin Rubey
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