Identifier
- St000438: Dyck paths ⟶ ℤ
Values
=>
Cc0005;cc-rep
[1,0,1,0]=>3
[1,1,0,0]=>2
[1,0,1,0,1,0]=>5
[1,0,1,1,0,0]=>4
[1,1,0,0,1,0]=>5
[1,1,0,1,0,0]=>4
[1,1,1,0,0,0]=>3
[1,0,1,0,1,0,1,0]=>7
[1,0,1,0,1,1,0,0]=>6
[1,0,1,1,0,0,1,0]=>7
[1,0,1,1,0,1,0,0]=>6
[1,0,1,1,1,0,0,0]=>5
[1,1,0,0,1,0,1,0]=>7
[1,1,0,0,1,1,0,0]=>6
[1,1,0,1,0,0,1,0]=>7
[1,1,0,1,0,1,0,0]=>6
[1,1,0,1,1,0,0,0]=>5
[1,1,1,0,0,0,1,0]=>7
[1,1,1,0,0,1,0,0]=>6
[1,1,1,0,1,0,0,0]=>5
[1,1,1,1,0,0,0,0]=>4
[1,0,1,0,1,0,1,0,1,0]=>9
[1,0,1,0,1,0,1,1,0,0]=>8
[1,0,1,0,1,1,0,0,1,0]=>9
[1,0,1,0,1,1,0,1,0,0]=>8
[1,0,1,0,1,1,1,0,0,0]=>7
[1,0,1,1,0,0,1,0,1,0]=>9
[1,0,1,1,0,0,1,1,0,0]=>8
[1,0,1,1,0,1,0,0,1,0]=>9
[1,0,1,1,0,1,0,1,0,0]=>8
[1,0,1,1,0,1,1,0,0,0]=>7
[1,0,1,1,1,0,0,0,1,0]=>9
[1,0,1,1,1,0,0,1,0,0]=>8
[1,0,1,1,1,0,1,0,0,0]=>7
[1,0,1,1,1,1,0,0,0,0]=>6
[1,1,0,0,1,0,1,0,1,0]=>9
[1,1,0,0,1,0,1,1,0,0]=>8
[1,1,0,0,1,1,0,0,1,0]=>9
[1,1,0,0,1,1,0,1,0,0]=>8
[1,1,0,0,1,1,1,0,0,0]=>7
[1,1,0,1,0,0,1,0,1,0]=>9
[1,1,0,1,0,0,1,1,0,0]=>8
[1,1,0,1,0,1,0,0,1,0]=>9
[1,1,0,1,0,1,0,1,0,0]=>8
[1,1,0,1,0,1,1,0,0,0]=>7
[1,1,0,1,1,0,0,0,1,0]=>9
[1,1,0,1,1,0,0,1,0,0]=>8
[1,1,0,1,1,0,1,0,0,0]=>7
[1,1,0,1,1,1,0,0,0,0]=>6
[1,1,1,0,0,0,1,0,1,0]=>9
[1,1,1,0,0,0,1,1,0,0]=>8
[1,1,1,0,0,1,0,0,1,0]=>9
[1,1,1,0,0,1,0,1,0,0]=>8
[1,1,1,0,0,1,1,0,0,0]=>7
[1,1,1,0,1,0,0,0,1,0]=>9
[1,1,1,0,1,0,0,1,0,0]=>8
[1,1,1,0,1,0,1,0,0,0]=>7
[1,1,1,0,1,1,0,0,0,0]=>6
[1,1,1,1,0,0,0,0,1,0]=>9
[1,1,1,1,0,0,0,1,0,0]=>8
[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]=>5
[1,0,1,0,1,0,1,0,1,0,1,0]=>11
[1,0,1,0,1,0,1,0,1,1,0,0]=>10
[1,0,1,0,1,0,1,1,0,0,1,0]=>11
[1,0,1,0,1,0,1,1,0,1,0,0]=>10
[1,0,1,0,1,0,1,1,1,0,0,0]=>9
[1,0,1,0,1,1,0,0,1,0,1,0]=>11
[1,0,1,0,1,1,0,0,1,1,0,0]=>10
[1,0,1,0,1,1,0,1,0,0,1,0]=>11
[1,0,1,0,1,1,0,1,0,1,0,0]=>10
[1,0,1,0,1,1,0,1,1,0,0,0]=>9
[1,0,1,0,1,1,1,0,0,0,1,0]=>11
[1,0,1,0,1,1,1,0,0,1,0,0]=>10
[1,0,1,0,1,1,1,0,1,0,0,0]=>9
[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]=>11
[1,0,1,1,0,0,1,0,1,1,0,0]=>10
[1,0,1,1,0,0,1,1,0,0,1,0]=>11
[1,0,1,1,0,0,1,1,0,1,0,0]=>10
[1,0,1,1,0,0,1,1,1,0,0,0]=>9
[1,0,1,1,0,1,0,0,1,0,1,0]=>11
[1,0,1,1,0,1,0,0,1,1,0,0]=>10
[1,0,1,1,0,1,0,1,0,0,1,0]=>11
[1,0,1,1,0,1,0,1,0,1,0,0]=>10
[1,0,1,1,0,1,0,1,1,0,0,0]=>9
[1,0,1,1,0,1,1,0,0,0,1,0]=>11
[1,0,1,1,0,1,1,0,0,1,0,0]=>10
[1,0,1,1,0,1,1,0,1,0,0,0]=>9
[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]=>11
[1,0,1,1,1,0,0,0,1,1,0,0]=>10
[1,0,1,1,1,0,0,1,0,0,1,0]=>11
[1,0,1,1,1,0,0,1,0,1,0,0]=>10
[1,0,1,1,1,0,0,1,1,0,0,0]=>9
[1,0,1,1,1,0,1,0,0,0,1,0]=>11
[1,0,1,1,1,0,1,0,0,1,0,0]=>10
[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]=>8
[1,0,1,1,1,1,0,0,0,0,1,0]=>11
[1,0,1,1,1,1,0,0,0,1,0,0]=>10
[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]=>8
[1,0,1,1,1,1,1,0,0,0,0,0]=>7
[1,1,0,0,1,0,1,0,1,0,1,0]=>11
[1,1,0,0,1,0,1,0,1,1,0,0]=>10
[1,1,0,0,1,0,1,1,0,0,1,0]=>11
[1,1,0,0,1,0,1,1,0,1,0,0]=>10
[1,1,0,0,1,0,1,1,1,0,0,0]=>9
[1,1,0,0,1,1,0,0,1,0,1,0]=>11
[1,1,0,0,1,1,0,0,1,1,0,0]=>10
[1,1,0,0,1,1,0,1,0,0,1,0]=>11
[1,1,0,0,1,1,0,1,0,1,0,0]=>10
[1,1,0,0,1,1,0,1,1,0,0,0]=>9
[1,1,0,0,1,1,1,0,0,0,1,0]=>11
[1,1,0,0,1,1,1,0,0,1,0,0]=>10
[1,1,0,0,1,1,1,0,1,0,0,0]=>9
[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]=>11
[1,1,0,1,0,0,1,0,1,1,0,0]=>10
[1,1,0,1,0,0,1,1,0,0,1,0]=>11
[1,1,0,1,0,0,1,1,0,1,0,0]=>10
[1,1,0,1,0,0,1,1,1,0,0,0]=>9
[1,1,0,1,0,1,0,0,1,0,1,0]=>11
[1,1,0,1,0,1,0,0,1,1,0,0]=>10
[1,1,0,1,0,1,0,1,0,0,1,0]=>11
[1,1,0,1,0,1,0,1,0,1,0,0]=>10
[1,1,0,1,0,1,0,1,1,0,0,0]=>9
[1,1,0,1,0,1,1,0,0,0,1,0]=>11
[1,1,0,1,0,1,1,0,0,1,0,0]=>10
[1,1,0,1,0,1,1,0,1,0,0,0]=>9
[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]=>11
[1,1,0,1,1,0,0,0,1,1,0,0]=>10
[1,1,0,1,1,0,0,1,0,0,1,0]=>11
[1,1,0,1,1,0,0,1,0,1,0,0]=>10
[1,1,0,1,1,0,0,1,1,0,0,0]=>9
[1,1,0,1,1,0,1,0,0,0,1,0]=>11
[1,1,0,1,1,0,1,0,0,1,0,0]=>10
[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]=>8
[1,1,0,1,1,1,0,0,0,0,1,0]=>11
[1,1,0,1,1,1,0,0,0,1,0,0]=>10
[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]=>8
[1,1,0,1,1,1,1,0,0,0,0,0]=>7
[1,1,1,0,0,0,1,0,1,0,1,0]=>11
[1,1,1,0,0,0,1,0,1,1,0,0]=>10
[1,1,1,0,0,0,1,1,0,0,1,0]=>11
[1,1,1,0,0,0,1,1,0,1,0,0]=>10
[1,1,1,0,0,0,1,1,1,0,0,0]=>9
[1,1,1,0,0,1,0,0,1,0,1,0]=>11
[1,1,1,0,0,1,0,0,1,1,0,0]=>10
[1,1,1,0,0,1,0,1,0,0,1,0]=>11
[1,1,1,0,0,1,0,1,0,1,0,0]=>10
[1,1,1,0,0,1,0,1,1,0,0,0]=>9
[1,1,1,0,0,1,1,0,0,0,1,0]=>11
[1,1,1,0,0,1,1,0,0,1,0,0]=>10
[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]=>8
[1,1,1,0,1,0,0,0,1,0,1,0]=>11
[1,1,1,0,1,0,0,0,1,1,0,0]=>10
[1,1,1,0,1,0,0,1,0,0,1,0]=>11
[1,1,1,0,1,0,0,1,0,1,0,0]=>10
[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]=>11
[1,1,1,0,1,0,1,0,0,1,0,0]=>10
[1,1,1,0,1,0,1,0,1,0,0,0]=>9
[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]=>11
[1,1,1,0,1,1,0,0,0,1,0,0]=>10
[1,1,1,0,1,1,0,0,1,0,0,0]=>9
[1,1,1,0,1,1,0,1,0,0,0,0]=>8
[1,1,1,0,1,1,1,0,0,0,0,0]=>7
[1,1,1,1,0,0,0,0,1,0,1,0]=>11
[1,1,1,1,0,0,0,0,1,1,0,0]=>10
[1,1,1,1,0,0,0,1,0,0,1,0]=>11
[1,1,1,1,0,0,0,1,0,1,0,0]=>10
[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]=>11
[1,1,1,1,0,0,1,0,0,1,0,0]=>10
[1,1,1,1,0,0,1,0,1,0,0,0]=>9
[1,1,1,1,0,0,1,1,0,0,0,0]=>8
[1,1,1,1,0,1,0,0,0,0,1,0]=>11
[1,1,1,1,0,1,0,0,0,1,0,0]=>10
[1,1,1,1,0,1,0,0,1,0,0,0]=>9
[1,1,1,1,0,1,0,1,0,0,0,0]=>8
[1,1,1,1,0,1,1,0,0,0,0,0]=>7
[1,1,1,1,1,0,0,0,0,0,1,0]=>11
[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]=>9
[1,1,1,1,1,0,0,1,0,0,0,0]=>8
[1,1,1,1,1,0,1,0,0,0,0,0]=>7
[1,1,1,1,1,1,0,0,0,0,0,0]=>6
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>13
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>12
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>13
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>12
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>11
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>13
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>12
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>13
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>12
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>11
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>13
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>12
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>11
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>10
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>13
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>12
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>13
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>12
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>11
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>13
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>12
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>13
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>12
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>11
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>13
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>12
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>11
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>10
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>13
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>12
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>13
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>12
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>11
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>13
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>12
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>11
[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]=>13
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>12
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>11
[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]=>9
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>13
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>12
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>13
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>12
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>11
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>13
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>12
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>13
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>12
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>11
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>13
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>12
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>11
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>10
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>13
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>12
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>13
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>12
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>11
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>13
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>12
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>13
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>12
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>11
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>13
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>12
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>11
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>10
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>13
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>12
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>13
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>12
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>11
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>13
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>12
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>11
[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]=>13
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>12
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>11
[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]=>9
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>13
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>12
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>13
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>12
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>11
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>13
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>12
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>13
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>12
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>11
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>13
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>12
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>11
[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]=>13
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>12
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>13
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>12
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>11
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>13
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>12
[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]=>10
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>13
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>12
[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]=>10
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>9
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>13
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>12
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>13
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>12
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>11
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>13
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>12
[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]=>10
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>13
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>12
[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]=>10
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>9
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>13
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>12
[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]=>9
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>8
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>13
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>12
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>13
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>12
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>11
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>13
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>12
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>13
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>12
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>11
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>13
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>12
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>11
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>10
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>13
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>12
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>13
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>12
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>11
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>13
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>12
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>13
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>12
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>11
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>13
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>12
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>11
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>10
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>13
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>12
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>13
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>12
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>11
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>13
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>12
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>11
[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]=>13
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>12
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>11
[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]=>9
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>13
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>12
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>13
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>12
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>11
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>13
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>12
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>13
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>12
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>11
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>13
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>12
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>11
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>10
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>13
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>12
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>13
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>12
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>11
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>13
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>12
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>13
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>12
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>11
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>13
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>12
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>11
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>10
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>13
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>12
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>13
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>12
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>11
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>13
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>12
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>11
[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]=>13
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>12
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>11
[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]=>9
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>13
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>12
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>13
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>12
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>11
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>13
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>12
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>13
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>12
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>11
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>13
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>12
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>11
[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]=>13
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>12
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>13
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>12
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>11
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>13
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>12
[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]=>10
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>13
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>12
[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]=>10
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>9
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>13
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>12
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>13
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>12
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>11
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>13
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>12
[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]=>10
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>13
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>12
[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]=>10
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>9
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>13
[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]=>11
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>10
[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]=>8
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>13
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>12
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>13
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>12
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>11
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>13
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>12
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>13
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>12
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>11
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>13
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>12
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>11
[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]=>13
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>12
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>13
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>12
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>11
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>13
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>12
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>13
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>12
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>11
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>13
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>12
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>11
[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]=>13
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>12
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>13
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>12
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>11
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>13
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>12
[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]=>10
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>13
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>12
[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]=>10
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>9
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>13
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>12
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>13
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>12
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>11
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>13
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>12
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>13
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>12
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>11
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>13
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>12
[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]=>10
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>13
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>12
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>13
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>12
[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]=>13
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>12
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>11
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>10
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>13
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>12
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>11
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>10
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>9
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>13
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>12
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>13
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>12
[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]=>13
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>12
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>11
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>10
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>13
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>12
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>11
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>10
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>9
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>13
[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]=>11
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>10
[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]=>8
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>13
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>12
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>13
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>12
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>11
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>13
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>12
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>13
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>12
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>11
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>13
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>12
[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]=>10
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>13
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>12
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>13
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>12
[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]=>13
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>12
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>11
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>10
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>13
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12
[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]=>9
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>13
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>12
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>13
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>12
[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]=>13
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>12
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>11
[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]=>13
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>12
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>11
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>10
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>9
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>13
[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]=>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]=>8
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>13
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>12
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>13
[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]=>11
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>13
[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]=>11
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>10
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>13
[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]=>11
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>10
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>9
[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]=>12
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>11
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>10
[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]=>8
[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]=>12
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>11
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>10
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>9
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>8
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>15
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>14
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>15
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>14
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>13
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>15
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>14
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>15
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>14
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>13
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>15
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>14
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>13
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>12
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>15
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>14
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>15
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>14
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>13
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>15
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>14
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>15
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>14
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>13
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>15
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>14
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>13
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>12
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>15
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>14
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>15
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>14
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>13
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>15
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>14
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>13
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>12
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>15
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>14
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>13
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>12
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>11
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>15
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>14
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>15
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>14
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>13
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>15
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>14
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>15
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>14
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>13
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>15
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>14
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>13
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>12
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>15
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>14
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>15
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>14
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>13
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>15
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>14
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>15
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>14
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>13
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>15
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>14
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>13
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>12
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>15
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>14
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>15
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>14
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>13
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>15
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>14
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>13
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>12
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>15
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>14
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>13
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>12
[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]=>15
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>14
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>15
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>14
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>13
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>15
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>14
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>15
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>14
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>13
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>15
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>14
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>13
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>12
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>15
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>14
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>15
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>14
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>13
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>15
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>14
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>13
[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]=>15
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>14
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>13
[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]=>11
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>15
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>14
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>15
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>14
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>13
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>15
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>14
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>13
[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]=>15
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>14
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>13
[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]=>11
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>15
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>14
[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]=>12
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>11
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>10
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>15
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>14
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>15
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>14
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>13
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>15
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>14
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>15
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>14
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>13
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>15
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>14
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>13
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>12
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>15
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>14
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>15
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>14
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>13
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>15
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>14
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>15
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>14
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>13
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>15
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>14
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>13
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>12
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>15
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>14
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>15
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>14
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>13
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>15
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>14
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>13
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>12
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>15
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>14
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>13
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>12
[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]=>15
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>14
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>15
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>14
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>13
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>15
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>14
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>15
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>14
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>13
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>15
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>14
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>13
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>12
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>15
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>14
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>15
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>14
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>13
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>15
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>14
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>15
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>14
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>13
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>15
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>14
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>13
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>12
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>15
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>14
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>15
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>14
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>13
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>15
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>14
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>13
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>12
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>15
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>14
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>13
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>12
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>11
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>15
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>14
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>15
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>14
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>13
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>15
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>14
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>15
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>14
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>13
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>15
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>14
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>13
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>12
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>15
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>14
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>15
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>14
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>13
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>15
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>14
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>13
[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]=>15
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>14
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>13
[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]=>11
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>15
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>14
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>15
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>14
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>13
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>15
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>14
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>13
[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]=>15
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>14
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>13
[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]=>11
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>15
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>14
[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]=>12
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>11
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>10
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>15
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>14
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>15
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>14
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>13
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>15
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>14
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>15
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>14
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>13
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>15
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>14
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>13
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>12
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>15
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>14
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>15
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>14
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>13
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>15
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>14
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>15
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>14
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>13
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>15
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>14
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>13
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>12
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>15
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>14
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>15
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>14
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>13
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>15
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>14
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>13
[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]=>15
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>14
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>13
[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]=>11
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>15
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>14
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>15
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>14
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>13
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>15
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>14
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>15
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>14
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>13
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>15
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>14
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>13
[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]=>15
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>14
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>15
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>14
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>13
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>15
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>14
[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]=>12
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>15
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>14
[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]=>12
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>11
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>15
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>14
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>15
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>14
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>13
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>15
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>14
[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]=>12
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>15
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>14
[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]=>12
[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]=>15
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>14
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>13
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>12
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>11
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>10
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>15
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>14
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>15
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>14
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>13
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>15
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>14
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>15
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>14
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>13
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>15
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>14
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>13
[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]=>15
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>14
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>15
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>14
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>13
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>15
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>14
[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]=>12
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>15
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>14
[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]=>12
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>11
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>15
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>14
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>15
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>14
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>13
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>15
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>14
[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]=>12
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>15
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>14
[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]=>12
[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]=>15
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>14
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>13
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>12
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>11
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>10
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>15
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>14
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>15
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>14
[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]=>15
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>14
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>13
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>12
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>15
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>14
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>13
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>12
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>11
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>15
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>14
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>13
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>12
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>11
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>10
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>15
[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]=>13
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>12
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>11
[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]=>9
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>15
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>14
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>15
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>14
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>13
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>15
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>14
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>15
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>14
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>13
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>15
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>14
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>13
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>12
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>15
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>14
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>15
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>14
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>13
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>15
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>14
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>15
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>14
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>13
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>15
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>14
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>13
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>12
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>15
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>14
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>15
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>14
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>13
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>15
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>14
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>13
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>12
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>15
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>14
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>13
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>12
[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]=>15
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>14
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>15
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>14
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>13
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>15
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>14
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>15
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>14
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>13
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>15
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>14
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>13
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>12
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>15
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>14
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>15
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>14
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>13
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>15
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>14
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>15
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>14
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>13
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>15
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>14
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>13
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>12
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>15
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>14
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>15
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>14
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>13
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>15
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>14
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>13
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>12
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>15
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>14
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>13
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>12
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>11
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>15
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>14
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>15
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>14
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>13
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>15
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>14
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>15
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>14
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>13
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>15
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>14
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>13
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>12
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>15
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>14
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>15
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>14
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>13
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>15
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>14
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>13
[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]=>15
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>14
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>13
[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]=>11
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>15
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>14
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>15
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>14
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>13
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>15
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>14
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>13
[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]=>15
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>14
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>13
[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]=>11
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>15
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>14
[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]=>12
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>11
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>10
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>15
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>14
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>15
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>14
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>13
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>15
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>14
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>15
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>14
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>13
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>15
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>14
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>13
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>12
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>15
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Description
The position of the last up step in a Dyck path.
Code
def statistic(D): return len(D)-list(reversed(D)).index(1)
Created
Feb 28, 2016 at 08:53 by Christian Stump
Updated
Feb 28, 2016 at 08:53 by Christian Stump
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