edit this statistic or download as text // json
Identifier
Values
=>
Cc0005;cc-rep
[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]=>4 [1,1,0,0,1,0]=>3 [1,1,0,1,0,0]=>3 [1,1,1,0,0,0]=>3 [1,0,1,0,1,0,1,0]=>4 [1,0,1,0,1,1,0,0]=>5 [1,0,1,1,0,0,1,0]=>6 [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]=>4 [1,1,0,0,1,1,0,0]=>5 [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]=>4 [1,1,1,0,0,0,1,0]=>4 [1,1,1,0,0,1,0,0]=>5 [1,1,1,0,1,0,0,0]=>4 [1,1,1,1,0,0,0,0]=>4 [1,0,1,0,1,0,1,0,1,0]=>5 [1,0,1,0,1,0,1,1,0,0]=>6 [1,0,1,0,1,1,0,0,1,0]=>7 [1,0,1,0,1,1,0,1,0,0]=>7 [1,0,1,0,1,1,1,0,0,0]=>6 [1,0,1,1,0,0,1,0,1,0]=>8 [1,0,1,1,0,0,1,1,0,0]=>9 [1,0,1,1,0,1,0,0,1,0]=>8 [1,0,1,1,0,1,0,1,0,0]=>8 [1,0,1,1,0,1,1,0,0,0]=>8 [1,0,1,1,1,0,0,0,1,0]=>7 [1,0,1,1,1,0,0,1,0,0]=>7 [1,0,1,1,1,0,1,0,0,0]=>6 [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]=>6 [1,1,0,0,1,1,0,0,1,0]=>7 [1,1,0,0,1,1,0,1,0,0]=>7 [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]=>6 [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]=>5 [1,1,0,1,1,0,0,0,1,0]=>5 [1,1,0,1,1,0,0,1,0,0]=>6 [1,1,0,1,1,0,1,0,0,0]=>5 [1,1,0,1,1,1,0,0,0,0]=>5 [1,1,1,0,0,0,1,0,1,0]=>5 [1,1,1,0,0,0,1,1,0,0]=>6 [1,1,1,0,0,1,0,0,1,0]=>7 [1,1,1,0,0,1,0,1,0,0]=>7 [1,1,1,0,0,1,1,0,0,0]=>6 [1,1,1,0,1,0,0,0,1,0]=>5 [1,1,1,0,1,0,0,1,0,0]=>6 [1,1,1,0,1,0,1,0,0,0]=>5 [1,1,1,0,1,1,0,0,0,0]=>6 [1,1,1,1,0,0,0,0,1,0]=>5 [1,1,1,1,0,0,0,1,0,0]=>6 [1,1,1,1,0,0,1,0,0,0]=>5 [1,1,1,1,0,1,0,0,0,0]=>5 [1,1,1,1,1,0,0,0,0,0]=>5 [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]=>7 [1,0,1,0,1,0,1,1,0,0,1,0]=>8 [1,0,1,0,1,0,1,1,0,1,0,0]=>8 [1,0,1,0,1,0,1,1,1,0,0,0]=>7 [1,0,1,0,1,1,0,0,1,0,1,0]=>9 [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]=>9 [1,0,1,0,1,1,0,1,0,1,0,0]=>9 [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]=>8 [1,0,1,0,1,1,1,0,0,1,0,0]=>8 [1,0,1,0,1,1,1,0,1,0,0,0]=>7 [1,0,1,0,1,1,1,1,0,0,0,0]=>8 [1,0,1,1,0,0,1,0,1,0,1,0]=>10 [1,0,1,1,0,0,1,0,1,1,0,0]=>11 [1,0,1,1,0,0,1,1,0,0,1,0]=>12 [1,0,1,1,0,0,1,1,0,1,0,0]=>12 [1,0,1,1,0,0,1,1,1,0,0,0]=>11 [1,0,1,1,0,1,0,0,1,0,1,0]=>10 [1,0,1,1,0,1,0,0,1,1,0,0]=>11 [1,0,1,1,0,1,0,1,0,0,1,0]=>10 [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]=>10 [1,0,1,1,0,1,1,0,0,0,1,0]=>10 [1,0,1,1,0,1,1,0,0,1,0,0]=>11 [1,0,1,1,0,1,1,0,1,0,0,0]=>10 [1,0,1,1,0,1,1,1,0,0,0,0]=>10 [1,0,1,1,1,0,0,0,1,0,1,0]=>9 [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]=>9 [1,0,1,1,1,0,0,1,0,1,0,0]=>9 [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]=>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]=>7 [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]=>9 [1,0,1,1,1,1,0,0,0,1,0,0]=>9 [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]=>8 [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]=>7 [1,1,0,0,1,0,1,1,0,0,1,0]=>8 [1,1,0,0,1,0,1,1,0,1,0,0]=>8 [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]=>9 [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]=>9 [1,1,0,0,1,1,0,1,0,1,0,0]=>9 [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]=>8 [1,1,0,0,1,1,1,0,0,1,0,0]=>8 [1,1,0,0,1,1,1,0,1,0,0,0]=>7 [1,1,0,0,1,1,1,1,0,0,0,0]=>8 [1,1,0,1,0,0,1,0,1,0,1,0]=>6 [1,1,0,1,0,0,1,0,1,1,0,0]=>7 [1,1,0,1,0,0,1,1,0,0,1,0]=>8 [1,1,0,1,0,0,1,1,0,1,0,0]=>8 [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]=>7 [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]=>6 [1,1,0,1,0,1,1,0,0,0,1,0]=>6 [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]=>6 [1,1,0,1,0,1,1,1,0,0,0,0]=>6 [1,1,0,1,1,0,0,0,1,0,1,0]=>6 [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]=>8 [1,1,0,1,1,0,0,1,0,1,0,0]=>8 [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]=>6 [1,1,0,1,1,0,1,0,0,1,0,0]=>7 [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]=>7 [1,1,0,1,1,1,0,0,0,0,1,0]=>6 [1,1,0,1,1,1,0,0,0,1,0,0]=>7 [1,1,0,1,1,1,0,0,1,0,0,0]=>6 [1,1,0,1,1,1,0,1,0,0,0,0]=>6 [1,1,0,1,1,1,1,0,0,0,0,0]=>6 [1,1,1,0,0,0,1,0,1,0,1,0]=>6 [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]=>8 [1,1,1,0,0,0,1,1,0,1,0,0]=>8 [1,1,1,0,0,0,1,1,1,0,0,0]=>7 [1,1,1,0,0,1,0,0,1,0,1,0]=>9 [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]=>9 [1,1,1,0,0,1,0,1,0,1,0,0]=>9 [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]=>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]=>7 [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]=>6 [1,1,1,0,1,0,0,0,1,1,0,0]=>7 [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]=>7 [1,1,1,0,1,0,1,0,0,0,1,0]=>6 [1,1,1,0,1,0,1,0,0,1,0,0]=>7 [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]=>7 [1,1,1,0,1,1,0,0,0,0,1,0]=>8 [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]=>7 [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]=>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]=>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]=>7 [1,1,1,1,0,0,1,0,0,0,1,0]=>6 [1,1,1,1,0,0,1,0,0,1,0,0]=>7 [1,1,1,1,0,0,1,0,1,0,0,0]=>6 [1,1,1,1,0,0,1,1,0,0,0,0]=>7 [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]=>6 [1,1,1,1,0,1,0,1,0,0,0,0]=>6 [1,1,1,1,0,1,1,0,0,0,0,0]=>6 [1,1,1,1,1,0,0,0,0,0,1,0]=>6 [1,1,1,1,1,0,0,0,0,1,0,0]=>7 [1,1,1,1,1,0,0,0,1,0,0,0]=>6 [1,1,1,1,1,0,0,1,0,0,0,0]=>7 [1,1,1,1,1,0,1,0,0,0,0,0]=>6 [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]=>7 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>8 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>9 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>9 [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]=>10 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>11 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>10 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>10 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>10 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>9 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>9 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>8 [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]=>11 [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]=>13 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>12 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>11 [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]=>11 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>11 [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]=>11 [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]=>11 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>10 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>11 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>10 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>10 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>10 [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]=>8 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>9 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>10 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>10 [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]=>9 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>12 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>13 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>14 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>14 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>13 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>15 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>16 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>15 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>15 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>15 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>14 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>14 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>13 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>14 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>12 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>13 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>14 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>14 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>13 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>12 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>13 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>12 [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]=>12 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>12 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>13 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>12 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>12 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>12 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>13 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>14 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>14 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>13 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>12 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>13 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>12 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>13 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>12 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>13 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>12 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>12 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>12 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>11 [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]=>13 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>12 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>11 [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]=>11 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>11 [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]=>11 [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]=>11 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>10 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>11 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>10 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>10 [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]=>9 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>9 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>8 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>9 [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]=>10 [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]=>11 [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]=>11 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>11 [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]=>11 [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]=>11 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>11 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>11 [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]=>11 [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]=>10 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>10 [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]=>10 [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]=>8 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>9 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>9 [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]=>10 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>11 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>10 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>10 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>10 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>9 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>9 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>8 [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]=>11 [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]=>13 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>12 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>11 [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]=>11 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>11 [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]=>11 [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]=>11 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>10 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>11 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>10 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>10 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>10 [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]=>8 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>9 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>10 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>10 [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]=>9 [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]=>8 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>9 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>9 [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]=>10 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>11 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>10 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>10 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>10 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>9 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>9 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>8 [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]=>8 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>9 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>9 [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]=>8 [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]=>7 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>7 [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]=>7 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>7 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>7 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>8 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>9 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>9 [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]=>7 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>8 [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]=>8 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>7 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>8 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>7 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>7 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>7 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>7 [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]=>9 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>9 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>8 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>10 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>11 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>10 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>10 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>10 [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]=>8 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>9 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>7 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>8 [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]=>8 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>7 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>8 [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]=>8 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>9 [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]=>8 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>9 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>8 [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]=>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]=>8 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>7 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>8 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>7 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>8 [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]=>7 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>7 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>7 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>7 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>8 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>7 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>8 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>7 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>7 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>7 [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]=>9 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>9 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>8 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>10 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>11 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>10 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>10 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>10 [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]=>8 [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]=>11 [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]=>13 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>12 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>11 [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]=>11 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>11 [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]=>11 [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]=>11 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>10 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>11 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>10 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>10 [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]=>9 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>9 [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]=>9 [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]=>10 [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]=>7 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>8 [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]=>8 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>10 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>11 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>10 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>10 [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]=>9 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>9 [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]=>9 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>7 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>8 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>9 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>9 [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]=>7 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>8 [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]=>8 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>9 [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]=>8 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>9 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>8 [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]=>11 [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]=>10 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>9 [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]=>8 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>9 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>10 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>10 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>10 [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]=>9 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>9 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>8 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>9 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>8 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>9 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>7 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>8 [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]=>8 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>10 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>11 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>10 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>10 [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]=>9 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>8 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>9 [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]=>9 [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]=>8 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>7 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>8 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>7 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>8 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>9 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>9 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>8 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>9 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>8 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>7 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>8 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>9 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>9 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>8 [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]=>7 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>8 [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]=>7 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>7 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>7 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>7 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>8 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>7 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>8 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>7 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>7 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>7 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>8 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>9 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>9 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>8 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>7 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>8 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>7 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>8 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>9 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>9 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>8 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>9 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>7 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>8 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>7 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>8 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>7 [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]=>7 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>8 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>7 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>8 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>7 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>7 [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]=>8 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>9 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>10 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>10 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>9 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>11 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>12 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>11 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>11 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>11 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>10 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>10 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>9 [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]=>12 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>13 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>14 [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]=>12 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>13 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>12 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>12 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>12 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>12 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>13 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>12 [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]=>11 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>12 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>11 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>11 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>11 [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]=>9 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>10 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>11 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>11 [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]=>10 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>13 [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]=>15 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>14 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>16 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>17 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>16 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>16 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>16 [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]=>15 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>14 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>15 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>13 [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]=>15 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>14 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>13 [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]=>13 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>13 [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]=>13 [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]=>13 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>13 [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]=>15 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>14 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>13 [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]=>14 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>13 [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]=>13 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>13 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>12 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>13 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>14 [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]=>12 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>13 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>12 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>12 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>12 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>12 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>13 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>12 [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]=>11 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>12 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>11 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>11 [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]=>10 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>10 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>9 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>10 [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]=>11 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>11 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>12 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>13 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>12 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>12 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>12 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>12 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>13 [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]=>12 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>12 [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]=>12 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>11 [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]=>11 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>10 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>11 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>14 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>15 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>16 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>16 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>15 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>17 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>18 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>17 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>17 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>17 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>16 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>16 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>15 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>16 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>18 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>19 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>20 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>20 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>19 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>18 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>19 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>18 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>18 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>18 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>18 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>19 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>18 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>18 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>17 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>18 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>17 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>17 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>17 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>16 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>16 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>15 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>16 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>17 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>17 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>17 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>17 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>16 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>14 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>15 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>16 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>16 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>15 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>17 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>18 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>17 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>17 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>17 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>16 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>16 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>15 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>16 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>14 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>15 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>16 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>16 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>15 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>14 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>15 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>14 [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]=>14 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>14 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>15 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>14 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>14 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>14 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>15 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>16 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>16 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>15 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>14 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>15 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>14 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>15 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>14 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>15 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>14 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>14 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>14 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>14 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>15 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>16 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>16 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>15 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>17 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>18 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>17 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>17 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>17 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>16 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>16 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>15 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>16 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>14 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>15 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>16 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>16 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>15 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>14 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>15 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>14 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>15 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>16 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>16 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>15 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>16 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>15 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>14 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>15 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>16 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>16 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>15 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>14 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>15 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>14 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>15 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>14 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>15 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>14 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>14 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>14 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>14 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>15 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>14 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>15 [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]=>13 [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]=>15 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>14 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>16 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>17 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>16 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>16 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>16 [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]=>15 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>14 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>15 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>13 [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]=>15 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>14 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>13 [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]=>13 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>13 [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]=>13 [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]=>13 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>13 [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]=>15 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>14 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>13 [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]=>14 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>13 [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]=>13 [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]=>12 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>13 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>14 [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]=>12 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>13 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>12 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>12 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>12 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>12 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>13 [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]=>12 [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]=>11 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>10 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>10 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>9 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>10 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>11 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>11 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>11 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>11 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>10 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>12 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>13 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>12 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>12 [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]=>13 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>12 [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]=>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]=>12 [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]=>12 [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]=>11 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>11 [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]=>10 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>11 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>13 [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]=>15 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>14 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>13 [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]=>13 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>13 [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]=>13 [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]=>13 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>13 [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]=>15 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>14 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>13 [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]=>14 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>13 [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]=>13 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>13 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>13 [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]=>13 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>13 [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]=>13 [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]=>13 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>13 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>13 [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]=>13 [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]=>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]=>13 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>13 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>13 [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]=>13 [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]=>12 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>12 [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]=>12 [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]=>12 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>12 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [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]=>12 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>11 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>11 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>11 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>11 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>10 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>11 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>12 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>12 [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]=>12 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>12 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>11 [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]=>9 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>10 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>10 [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]=>11 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>12 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>11 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>11 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>11 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>10 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>10 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>9 [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]=>12 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>13 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>14 [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]=>12 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>13 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>12 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>12 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>12 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>12 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>13 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>12 [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]=>11 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>12 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>11 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>11 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>11 [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]=>9 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>10 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>11 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>11 [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]=>10 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>13 [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]=>15 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>14 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>16 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>17 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>16 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>16 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>16 [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]=>15 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>14 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>15 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>13 [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]=>15 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>14 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>13 [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]=>13 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>13 [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]=>13 [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]=>13 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>13 [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]=>15 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>14 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>13 [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]=>14 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>13 [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]=>13 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>13 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>12 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>13 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>14 [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]=>12 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>13 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>12 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>12 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>12 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>12 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>13 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>12 [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]=>11 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>12 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>11 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>11 [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]=>10 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>10 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>9 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>10 [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]=>11 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>11 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>12 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>13 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>12 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>12 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>12 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>12 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>13 [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]=>12 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>12 [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]=>12 [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]=>11 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>11 [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]=>10 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>11 [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]=>9 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>10 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>10 [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]=>11 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>12 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>11 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>11 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>11 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>10 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>10 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>9 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>10
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The bounce of the parallelogram polyomino associated with the Dyck path.
A bijection due to Delest and Viennot [1] associates a Dyck path with a parallelogram polyomino. The bounce statistic is defined in [2].
References
[1] Delest, M.-P., Viennot, Gérard Algebraic languages and polyominoes enumeration MathSciNet:0774044
[2] Aval, J.-C., D'Adderio, M., Dukes, M., Hicks, A., Le Borgne, Y. Statistics on parallelogram polyominoes and a q,t-analogue of the Narayana numbers arXiv:1301.4803
Code
def statistic(D):
    return ParallelogramPolyomino.from_dyck_word(D).bounce()
Created
Jan 26, 2019 at 16:12 by Martin Rubey
Updated
Jan 26, 2019 at 16:12 by Martin Rubey