edit this statistic or download as text // json
Identifier
Values
=>
Cc0005;cc-rep
[1,0]=>1 [1,0,1,0]=>3 [1,1,0,0]=>1 [1,0,1,0,1,0]=>5 [1,0,1,1,0,0]=>4 [1,1,0,0,1,0]=>4 [1,1,0,1,0,0]=>3 [1,1,1,0,0,0]=>1 [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]=>6 [1,1,0,0,1,1,0,0]=>6 [1,1,0,1,0,0,1,0]=>6 [1,1,0,1,0,1,0,0]=>6 [1,1,0,1,1,0,0,0]=>4 [1,1,1,0,0,0,1,0]=>5 [1,1,1,0,0,1,0,0]=>4 [1,1,1,0,1,0,0,0]=>3 [1,1,1,1,0,0,0,0]=>1 [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]=>9 [1,0,1,1,0,1,0,0,1,0]=>9 [1,0,1,1,0,1,0,1,0,0]=>9 [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]=>8 [1,1,0,0,1,0,1,1,0,0]=>7 [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]=>8 [1,1,0,1,0,0,1,0,1,0]=>8 [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]=>9 [1,1,0,1,0,1,1,0,0,0]=>8 [1,1,0,1,1,0,0,0,1,0]=>8 [1,1,0,1,1,0,0,1,0,0]=>7 [1,1,0,1,1,0,1,0,0,0]=>7 [1,1,0,1,1,1,0,0,0,0]=>5 [1,1,1,0,0,0,1,0,1,0]=>7 [1,1,1,0,0,0,1,1,0,0]=>8 [1,1,1,0,0,1,0,0,1,0]=>7 [1,1,1,0,0,1,0,1,0,0]=>8 [1,1,1,0,0,1,1,0,0,0]=>6 [1,1,1,0,1,0,0,0,1,0]=>7 [1,1,1,0,1,0,0,1,0,0]=>7 [1,1,1,0,1,0,1,0,0,0]=>6 [1,1,1,0,1,1,0,0,0,0]=>4 [1,1,1,1,0,0,0,0,1,0]=>6 [1,1,1,1,0,0,0,1,0,0]=>5 [1,1,1,1,0,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,0,0,0]=>3 [1,1,1,1,1,0,0,0,0,0]=>1 [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]=>11 [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]=>11 [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]=>12 [1,0,1,1,0,0,1,1,0,1,0,0]=>11 [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]=>11 [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]=>12 [1,0,1,1,0,1,0,1,0,1,0,0]=>12 [1,0,1,1,0,1,0,1,1,0,0,0]=>11 [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]=>10 [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]=>12 [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]=>12 [1,0,1,1,1,0,0,1,1,0,0,0]=>10 [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]=>11 [1,0,1,1,1,0,1,0,1,0,0,0]=>10 [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]=>10 [1,1,0,0,1,0,1,0,1,1,0,0]=>9 [1,1,0,0,1,0,1,1,0,0,1,0]=>10 [1,1,0,0,1,0,1,1,0,1,0,0]=>9 [1,1,0,0,1,0,1,1,1,0,0,0]=>8 [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]=>11 [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]=>11 [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]=>12 [1,1,0,0,1,1,1,0,0,1,0,0]=>11 [1,1,0,0,1,1,1,0,1,0,0,0]=>10 [1,1,0,0,1,1,1,1,0,0,0,0]=>10 [1,1,0,1,0,0,1,0,1,0,1,0]=>10 [1,1,0,1,0,0,1,0,1,1,0,0]=>9 [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]=>10 [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]=>11 [1,1,0,1,0,1,0,1,0,0,1,0]=>12 [1,1,0,1,0,1,0,1,0,1,0,0]=>12 [1,1,0,1,0,1,0,1,1,0,0,0]=>11 [1,1,0,1,0,1,1,0,0,0,1,0]=>12 [1,1,0,1,0,1,1,0,0,1,0,0]=>11 [1,1,0,1,0,1,1,0,1,0,0,0]=>11 [1,1,0,1,0,1,1,1,0,0,0,0]=>10 [1,1,0,1,1,0,0,0,1,0,1,0]=>10 [1,1,0,1,1,0,0,0,1,1,0,0]=>11 [1,1,0,1,1,0,0,1,0,0,1,0]=>10 [1,1,0,1,1,0,0,1,0,1,0,0]=>11 [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]=>11 [1,1,0,1,1,0,1,0,1,0,0,0]=>10 [1,1,0,1,1,0,1,1,0,0,0,0]=>9 [1,1,0,1,1,1,0,0,0,0,1,0]=>10 [1,1,0,1,1,1,0,0,0,1,0,0]=>9 [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]=>8 [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]=>9 [1,1,1,0,0,0,1,0,1,1,0,0]=>8 [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]=>11 [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]=>9 [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]=>11 [1,1,1,0,0,1,0,1,1,0,0,0]=>11 [1,1,1,0,0,1,1,0,0,0,1,0]=>10 [1,1,1,0,0,1,1,0,0,1,0,0]=>9 [1,1,1,0,0,1,1,0,1,0,0,0]=>10 [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]=>9 [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]=>10 [1,1,1,0,1,0,0,1,0,1,0,0]=>11 [1,1,1,0,1,0,0,1,1,0,0,0]=>10 [1,1,1,0,1,0,1,0,0,0,1,0]=>10 [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]=>10 [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]=>9 [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]=>5 [1,1,1,1,0,0,0,0,1,0,1,0]=>8 [1,1,1,1,0,0,0,0,1,1,0,0]=>10 [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]=>10 [1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,1,1,1,0,0,1,0,0,0,1,0]=>8 [1,1,1,1,0,0,1,0,0,1,0,0]=>9 [1,1,1,1,0,0,1,0,1,0,0,0]=>8 [1,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,1,1,1,0,1,0,0,0,0,1,0]=>8 [1,1,1,1,0,1,0,0,0,1,0,0]=>8 [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]=>6 [1,1,1,1,0,1,1,0,0,0,0,0]=>4 [1,1,1,1,1,0,0,0,0,0,1,0]=>7 [1,1,1,1,1,0,0,0,0,1,0,0]=>6 [1,1,1,1,1,0,0,0,1,0,0,0]=>5 [1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,1,1,1,1,0,1,0,0,0,0,0]=>3 [1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>12 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>13 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>12 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>13 [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]=>13 [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 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>12 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>14 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>13 [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]=>13 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>14 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>14 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>13 [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 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>13 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>14 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>13 [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]=>13 [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 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>12 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>14 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>15 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>13 [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 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>13 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>14 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>14 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>15 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>14 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>13 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>12 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>13 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>11 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>11 [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 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>15 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>13 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>13 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>11 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>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]=>15 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>13 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>13 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>13 [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]=>13 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>12 [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]=>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]=>12 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>11 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>12 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>11 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>10 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>12 [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]=>12 [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]=>10 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>12 [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]=>13 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>12 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>13 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>14 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>14 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>12 [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]=>14 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>13 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>14 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>13 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>11 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>15 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>14 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>13 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>12 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>12 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>12 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>11 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>11 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>14 [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 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>13 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>14 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>14 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>15 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>15 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>14 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>15 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>14 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>14 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>13 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>14 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>15 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>13 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>15 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>14 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>13 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>13 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>12 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>14 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>14 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>15 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>14 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>12 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>14 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>12 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>12 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>14 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>12 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>11 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>9 [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]=>7 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>11 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>10 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>10 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>15 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>14 [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]=>10 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>11 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>13 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>14 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>14 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>14 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>13 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>13 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>13 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>13 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>11 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>10 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>12 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>14 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>14 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>13 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>12 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>13 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>14 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>13 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>14 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>14 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>14 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>13 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>13 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>12 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>12 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>10 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>13 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>12 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>12 [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]=>10 [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]=>6 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>9 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>13 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>14 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>10 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>12 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>11 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>12 [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]=>13 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>11 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>10 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>12 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>11 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>12 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>11 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>11 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>10 [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]=>9 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>9 [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]=>5 [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]=>9 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>12 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>9 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>11 [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]=>10 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>9 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>6 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>9 [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]=>8 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>7 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>6 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>4 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>8 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>7 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>6 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>5 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>4 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>3 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>14 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>14 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>15 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>15 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>14 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>14 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>14 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>14 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>14 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>16 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>15 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>15 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>16 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>15 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>15 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>15 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>15 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>15 [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 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>14 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>14 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>15 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>14 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>14 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>17 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>15 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>15 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>15 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>15 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>18 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>18 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>16 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>15 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>16 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>15 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>15 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>15 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>17 [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]=>18 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>12 [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 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>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]=>14 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>13 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>14 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>13 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>12 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>14 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>14 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>15 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>16 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>15 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>15 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>17 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>16 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>17 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>15 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>12 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>19 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>15 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>13 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>18 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>17 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>16 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>15 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>14 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>14 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>13 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>13 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>14 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>16 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>16 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>15 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>17 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>17 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>18 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>18 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>17 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>17 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>17 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>16 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>18 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>17 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>16 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>18 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>14 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>17 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>16 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>17 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>16 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>17 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>10 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>10 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>8 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>13 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>12 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>12 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>19 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>16 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>17 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>17 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>16 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>15 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>15 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>16 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>14 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>17 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>18 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>14 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>17 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>16 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>17 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>18 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>18 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>18 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>17 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>15 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>16 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>14 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>15 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>16 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>13 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>12 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>13 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>11 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>10 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>10 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>9 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>15 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>16 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>18 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>17 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>15 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>15 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>14 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>13 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>12 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>10 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>15 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>12 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>9 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>12 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>11 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>10 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>10 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>8 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>6 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>12 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>13 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>14 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>11 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>13 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>12 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>12 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>8 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>14 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>12 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>12 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>10 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>8 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>11 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>10 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>10 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>9 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>8 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>7 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>5 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>14 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>10 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>12 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>10 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>8 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>10 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>11 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>9 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>8 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>10 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>10 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>8 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>7 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>4 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>9 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>8 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>7 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>6 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>4 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>3 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>10 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>10 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>11 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>11 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>11 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>12 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>12 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>11 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>13 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>13 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>16 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>16 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>17 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>16 [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>16 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>11 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>15 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>17 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>17 [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>11 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>11 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>12 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>12 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>13 [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>13 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>18 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>18 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>19 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]=>18 [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>18 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>12 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>12 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>12
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 Frobenius dimension of the Nakayama algebra corresponding to the Dyck path.
References
[1] Artenstein, D., González, A., Mata, G. Nearly Frobenius dimension on Frobenius algebras arXiv:2011.09790
Code
gap('LoadPackage("QPA");')

def kupisch(D):
    H = D.heights()
    return [1+H[i] for i, s in enumerate(D) if s == 0]+[1]

def statistic(D):
    D = DyckWord(D)
    K = kupisch(D)
    A = gap.NakayamaAlgebra(K, gap.GF(3))
    injA = gap.IndecInjectiveModules(A)
    projA = gap.IndecProjectiveModules(A)
    CoRegA = gap.DirectSumOfQPAModules(injA)
    RegA = gap.DirectSumOfQPAModules(projA)
    return gap.Size(gap.HomOverAlgebra(CoRegA, RegA))
Created
Nov 20, 2020 at 09:14 by Rene Marczinzik
Updated
Nov 20, 2020 at 12:53 by Martin Rubey