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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]=>3 [1,1,0,0,1,0]=>3 [1,1,0,1,0,0]=>4 [1,1,1,0,0,0]=>3 [1,0,1,0,1,0,1,0]=>4 [1,0,1,0,1,1,0,0]=>4 [1,0,1,1,0,0,1,0]=>4 [1,0,1,1,0,1,0,0]=>5 [1,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,0,1,0]=>4 [1,1,0,0,1,1,0,0]=>4 [1,1,0,1,0,0,1,0]=>5 [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]=>4 [1,1,1,0,0,1,0,0]=>5 [1,1,1,0,1,0,0,0]=>6 [1,1,1,1,0,0,0,0]=>4 [1,0,1,0,1,0,1,0,1,0]=>5 [1,0,1,0,1,0,1,1,0,0]=>5 [1,0,1,0,1,1,0,0,1,0]=>5 [1,0,1,0,1,1,0,1,0,0]=>6 [1,0,1,0,1,1,1,0,0,0]=>5 [1,0,1,1,0,0,1,0,1,0]=>5 [1,0,1,1,0,0,1,1,0,0]=>5 [1,0,1,1,0,1,0,0,1,0]=>6 [1,0,1,1,0,1,0,1,0,0]=>7 [1,0,1,1,0,1,1,0,0,0]=>6 [1,0,1,1,1,0,0,0,1,0]=>5 [1,0,1,1,1,0,0,1,0,0]=>6 [1,0,1,1,1,0,1,0,0,0]=>7 [1,0,1,1,1,1,0,0,0,0]=>5 [1,1,0,0,1,0,1,0,1,0]=>5 [1,1,0,0,1,0,1,1,0,0]=>5 [1,1,0,0,1,1,0,0,1,0]=>5 [1,1,0,0,1,1,0,1,0,0]=>6 [1,1,0,0,1,1,1,0,0,0]=>5 [1,1,0,1,0,0,1,0,1,0]=>6 [1,1,0,1,0,0,1,1,0,0]=>6 [1,1,0,1,0,1,0,0,1,0]=>7 [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]=>6 [1,1,0,1,1,0,0,1,0,0]=>7 [1,1,0,1,1,0,1,0,0,0]=>8 [1,1,0,1,1,1,0,0,0,0]=>6 [1,1,1,0,0,0,1,0,1,0]=>5 [1,1,1,0,0,0,1,1,0,0]=>5 [1,1,1,0,0,1,0,0,1,0]=>6 [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]=>7 [1,1,1,0,1,0,0,1,0,0]=>8 [1,1,1,0,1,0,1,0,0,0]=>9 [1,1,1,0,1,1,0,0,0,0]=>7 [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]=>7 [1,1,1,1,0,1,0,0,0,0]=>8 [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]=>6 [1,0,1,0,1,0,1,1,0,0,1,0]=>6 [1,0,1,0,1,0,1,1,0,1,0,0]=>7 [1,0,1,0,1,0,1,1,1,0,0,0]=>6 [1,0,1,0,1,1,0,0,1,0,1,0]=>6 [1,0,1,0,1,1,0,0,1,1,0,0]=>6 [1,0,1,0,1,1,0,1,0,0,1,0]=>7 [1,0,1,0,1,1,0,1,0,1,0,0]=>8 [1,0,1,0,1,1,0,1,1,0,0,0]=>7 [1,0,1,0,1,1,1,0,0,0,1,0]=>6 [1,0,1,0,1,1,1,0,0,1,0,0]=>7 [1,0,1,0,1,1,1,0,1,0,0,0]=>8 [1,0,1,0,1,1,1,1,0,0,0,0]=>6 [1,0,1,1,0,0,1,0,1,0,1,0]=>6 [1,0,1,1,0,0,1,0,1,1,0,0]=>6 [1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,0,1,1,0,0,1,1,0,1,0,0]=>7 [1,0,1,1,0,0,1,1,1,0,0,0]=>6 [1,0,1,1,0,1,0,0,1,0,1,0]=>7 [1,0,1,1,0,1,0,0,1,1,0,0]=>7 [1,0,1,1,0,1,0,1,0,0,1,0]=>8 [1,0,1,1,0,1,0,1,0,1,0,0]=>9 [1,0,1,1,0,1,0,1,1,0,0,0]=>8 [1,0,1,1,0,1,1,0,0,0,1,0]=>7 [1,0,1,1,0,1,1,0,0,1,0,0]=>8 [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]=>7 [1,0,1,1,1,0,0,0,1,0,1,0]=>6 [1,0,1,1,1,0,0,0,1,1,0,0]=>6 [1,0,1,1,1,0,0,1,0,0,1,0]=>7 [1,0,1,1,1,0,0,1,0,1,0,0]=>8 [1,0,1,1,1,0,0,1,1,0,0,0]=>7 [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]=>9 [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]=>6 [1,0,1,1,1,1,0,0,0,1,0,0]=>7 [1,0,1,1,1,1,0,0,1,0,0,0]=>8 [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]=>6 [1,1,0,0,1,0,1,0,1,0,1,0]=>6 [1,1,0,0,1,0,1,0,1,1,0,0]=>6 [1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,1,0,0,1,0,1,1,0,1,0,0]=>7 [1,1,0,0,1,0,1,1,1,0,0,0]=>6 [1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,1,0,0,1,1,0,1,0,0,1,0]=>7 [1,1,0,0,1,1,0,1,0,1,0,0]=>8 [1,1,0,0,1,1,0,1,1,0,0,0]=>7 [1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,1,0,0,1,1,1,0,0,1,0,0]=>7 [1,1,0,0,1,1,1,0,1,0,0,0]=>8 [1,1,0,0,1,1,1,1,0,0,0,0]=>6 [1,1,0,1,0,0,1,0,1,0,1,0]=>7 [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]=>7 [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]=>8 [1,1,0,1,0,1,0,0,1,1,0,0]=>8 [1,1,0,1,0,1,0,1,0,0,1,0]=>9 [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]=>8 [1,1,0,1,0,1,1,0,0,1,0,0]=>9 [1,1,0,1,0,1,1,0,1,0,0,0]=>10 [1,1,0,1,0,1,1,1,0,0,0,0]=>8 [1,1,0,1,1,0,0,0,1,0,1,0]=>7 [1,1,0,1,1,0,0,0,1,1,0,0]=>7 [1,1,0,1,1,0,0,1,0,0,1,0]=>8 [1,1,0,1,1,0,0,1,0,1,0,0]=>9 [1,1,0,1,1,0,0,1,1,0,0,0]=>8 [1,1,0,1,1,0,1,0,0,0,1,0]=>9 [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]=>11 [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]=>7 [1,1,0,1,1,1,0,0,0,1,0,0]=>8 [1,1,0,1,1,1,0,0,1,0,0,0]=>9 [1,1,0,1,1,1,0,1,0,0,0,0]=>10 [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]=>6 [1,1,1,0,0,0,1,0,1,1,0,0]=>6 [1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,1,1,0,0,0,1,1,0,1,0,0]=>7 [1,1,1,0,0,0,1,1,1,0,0,0]=>6 [1,1,1,0,0,1,0,0,1,0,1,0]=>7 [1,1,1,0,0,1,0,0,1,1,0,0]=>7 [1,1,1,0,0,1,0,1,0,0,1,0]=>8 [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]=>8 [1,1,1,0,0,1,1,0,0,0,1,0]=>7 [1,1,1,0,0,1,1,0,0,1,0,0]=>8 [1,1,1,0,0,1,1,0,1,0,0,0]=>9 [1,1,1,0,0,1,1,1,0,0,0,0]=>7 [1,1,1,0,1,0,0,0,1,0,1,0]=>8 [1,1,1,0,1,0,0,0,1,1,0,0]=>8 [1,1,1,0,1,0,0,1,0,0,1,0]=>9 [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]=>10 [1,1,1,0,1,0,1,0,0,1,0,0]=>11 [1,1,1,0,1,0,1,0,1,0,0,0]=>12 [1,1,1,0,1,0,1,1,0,0,0,0]=>10 [1,1,1,0,1,1,0,0,0,0,1,0]=>8 [1,1,1,0,1,1,0,0,0,1,0,0]=>9 [1,1,1,0,1,1,0,0,1,0,0,0]=>10 [1,1,1,0,1,1,0,1,0,0,0,0]=>11 [1,1,1,0,1,1,1,0,0,0,0,0]=>8 [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]=>6 [1,1,1,1,0,0,0,1,0,0,1,0]=>7 [1,1,1,1,0,0,0,1,0,1,0,0]=>8 [1,1,1,1,0,0,0,1,1,0,0,0]=>7 [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]=>10 [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]=>9 [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]=>11 [1,1,1,1,0,1,0,1,0,0,0,0]=>12 [1,1,1,1,0,1,1,0,0,0,0,0]=>9 [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]=>8 [1,1,1,1,1,0,0,1,0,0,0,0]=>9 [1,1,1,1,1,0,1,0,0,0,0,0]=>10 [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]=>7 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>7 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>8 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>7 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>7 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>7 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>8 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>9 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>8 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>7 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>8 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>9 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>7 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>7 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>7 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>7 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>8 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>7 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>8 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>8 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>9 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>10 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>9 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>8 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>9 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>10 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>8 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>7 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>7 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>8 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>9 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>8 [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]=>10 [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]=>9 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>7 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>8 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>9 [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]=>7 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>7 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>7 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>7 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>8 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>7 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>7 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>8 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>9 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>8 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>7 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>8 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>9 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>7 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>8 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>8 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>8 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>9 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>8 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>9 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>9 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>10 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>11 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>10 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>9 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>10 [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]=>9 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>8 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>8 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>9 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>10 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>9 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>10 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>11 [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]=>10 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>8 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>9 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>10 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>11 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>8 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>7 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>7 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>7 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>8 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>7 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>8 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>8 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>9 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>10 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>9 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>9 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>10 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>8 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>9 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>9 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>10 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>11 [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]=>11 [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]=>13 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>11 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>9 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>10 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>11 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>12 [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]=>7 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>7 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>8 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>9 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>9 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>10 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>11 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>9 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>10 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>11 [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]=>13 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>7 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>8 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>9 [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]=>11 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>7 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>7 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>7 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>7 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>8 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>7 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>7 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>7 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>8 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>9 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>8 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>7 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>8 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>9 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>7 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>7 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>7 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>7 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>8 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>7 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>8 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>8 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>9 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>10 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>9 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>8 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>9 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>10 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>8 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>7 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>7 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>8 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>9 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>8 [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]=>10 [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]=>9 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>7 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>8 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>9 [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]=>7 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>8 [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]=>8 [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]=>8 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>8 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>9 [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]=>9 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>8 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>9 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>10 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>8 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>9 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>9 [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]=>10 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>9 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>10 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>10 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>11 [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]=>10 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>11 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>12 [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]=>9 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>9 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>10 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>11 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>10 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>11 [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]=>13 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>11 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>9 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>10 [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]=>12 [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]=>8 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>8 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>8 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>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]=>9 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>9 [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]=>11 [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]=>10 [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]=>9 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>10 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>10 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>11 [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]=>12 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>13 [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]=>10 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>11 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>12 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>13 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>8 [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]=>10 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>9 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>10 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>11 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>12 [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]=>11 [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]=>13 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>14 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>11 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>8 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>9 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>10 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>11 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>12 [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]=>7 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>7 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>7 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>8 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>7 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>7 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>7 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>8 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>9 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>8 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>7 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>8 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>9 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>7 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>8 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>8 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>8 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>9 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>8 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>9 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>9 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>10 [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]=>10 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>9 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>10 [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]=>9 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>8 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>8 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>9 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>10 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>9 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>10 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>11 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>12 [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]=>8 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>9 [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]=>11 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>9 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>9 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>9 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>10 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>9 [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]=>10 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>11 [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]=>10 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>11 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>12 [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]=>11 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>11 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>12 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>13 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>12 [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]=>14 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>15 [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]=>11 [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]=>13 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>14 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>11 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>9 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>9 [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]=>11 [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]=>11 [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]=>13 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>11 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>12 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>13 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>14 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>15 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>12 [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]=>10 [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]=>12 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>13 [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]=>7 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>7 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>8 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>7 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>8 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>8 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>9 [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]=>9 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>8 [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]=>10 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>8 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>9 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>9 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>10 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>11 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>10 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>11 [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 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>11 [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]=>10 [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]=>12 [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]=>10 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>10 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>11 [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]=>12 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>13 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>14 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>12 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>13 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>14 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>15 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>16 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>13 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>11 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>12 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>13 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>14 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>10 [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]=>7 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>8 [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]=>9 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>10 [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]=>9 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>10 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>11 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>13 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>11 [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]=>13 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>14 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>15 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>11 [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]=>9 [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]=>11 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>12 [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]=>8 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>8 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>9 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>8 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>8 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>8 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>9 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>10 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>9 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>8 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>9 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>10 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>8 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>8 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>8 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>8 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>9 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>8 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>9 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>9 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>10 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>11 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>10 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>9 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>10 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>11 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>9 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>8 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>8 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>9 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>10 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>9 [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]=>11 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>12 [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]=>8 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>9 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>10 [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]=>8 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>8 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>8 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>8 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>9 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>8 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>8 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>8 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>9 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>10 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>9 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>8 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>9 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>10 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>8 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>9 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>9 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>9 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>10 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>9 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>10 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>10 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>11 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>12 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>11 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>10 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>11 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>12 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>10 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>9 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>9 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>10 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>11 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>10 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>11 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>12 [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]=>11 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>9 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>10 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>11 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>12 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>9 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>8 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>8 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>8 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>9 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>8 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>9 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>9 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>10 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>11 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>10 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>9 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>10 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>11 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>10 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>10 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>11 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>12 [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]=>12 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>13 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>14 [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]=>10 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>11 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>12 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>13 [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]=>8 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>8 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>9 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>10 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>9 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>10 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>11 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>12 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>11 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>12 [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]=>14 [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]=>8 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>9 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>10 [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]=>12 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>8 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>8 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>8 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>8 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>9 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>8 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>8 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>8 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>9 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>10 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>9 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>8 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>9 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>10 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>8 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>8 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>8 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>8 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>9 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>8 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>9 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>9 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>10 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>11 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>10 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>9 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>10 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>11 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>9 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>8 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>8 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>9 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>10 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>9 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>10 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>11 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>12 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>10 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>8 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>9 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>10 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>11 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>8 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>9 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>9 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>9 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>10 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>9 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>9 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>9 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>10 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>11 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>10 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>9 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>10 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>11 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>9 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>10 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>10 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>10 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>11 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>10 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>11 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>11 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>12 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>13 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>12 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>11 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>12 [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]=>11 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>10 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>10 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>11 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>12 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>11 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>12 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>13 [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]=>12 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>10 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>11 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>12 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>13 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>9 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>9 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>9 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>10 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>9 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>10 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>10 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>11 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>12 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>11 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>10 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>11 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>12 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>10 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>11 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>11 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>12 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>13 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>12 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>13 [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]=>15 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>13 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>11 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>12 [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]=>14 [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]=>9 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>9 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>10 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>11 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>11 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>12 [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]=>11 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>12 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>13 [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]=>15 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>12 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>9 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [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]=>13 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>9 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>8 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>8 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>8 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>9 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>8 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>8 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>8 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>9 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>10 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>9 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>8 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>9 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>10 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>8 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>9 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>9 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>9 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>10 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>9 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>10 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>10 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>11 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>12 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>11 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>10 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>11 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>12 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>10 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>9 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>9 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>10 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>11 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>10 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>11 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>12 [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]=>11 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>9 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>10 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>11 [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]=>9 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>10 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>10 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>10 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>11 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>10 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>11 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>11 [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]=>13 [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]=>11 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>12 [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]=>11 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>12 [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]=>13 [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]=>14 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>15 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>16 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>14 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>12 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>13 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>14 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>15 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>12 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>10 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>10 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>11 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>12 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>11 [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]=>14 [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]=>13 [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]=>15 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>16 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>13 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [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]=>12 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>13 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>14 [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]=>8 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>8 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>8 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>9 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>8 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>9 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>9 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>10 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>11 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>10 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>9 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>10 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>11 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>9 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>10 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>10 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>11 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>12 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>11 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>12 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>13 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>14 [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]=>10 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>11 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>12 [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]=>10 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>11 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>11 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>12 [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]=>12 [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]=>15 [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]=>14 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>15 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>16 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>17 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>14 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>11 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>12 [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]=>14 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>15 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>11 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>8 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>8 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>9 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>10 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>9 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>10 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>11 [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]=>10 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>11 [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]=>13 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>14 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>11 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>12 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>13 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>14 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>15 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>16 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>12 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>8 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>9 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>10 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>11 [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]=>13 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>8 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>8 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>8 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>8 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>9 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>8 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>8 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>8 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>9 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>10 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>9 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>8 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>9 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>10 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>8 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>8 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>8 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>8 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>9 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>8 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>9 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>9 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>10 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>11 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>10 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>9 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>10 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>11 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>9 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>8 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>8 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>9 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>10 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>9 [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]=>11 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>12 [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]=>8 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>9 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>10 [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]=>8 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>8 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>8 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>8 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>9 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>8 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>8 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>8 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>9 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>10 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>9 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>8 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>9 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>10 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>8 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>9 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>9 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>9 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>10 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>9 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>10 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>10 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>11 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>12 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>11 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>10 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>11 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>12 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>10 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>9 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>9 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>10 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>11 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>10 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>11 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>12 [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]=>11 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>9 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>10 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>11 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>12 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>9 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>8 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>8 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>8 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>9 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>8 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>9 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>9 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>10 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>11 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>10 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>9 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>10 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>11 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>10 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>10 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>11 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>12 [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]=>12 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>13 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>14 [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]=>10 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>11 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>12 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>13 [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]=>8 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>8 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>9 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>10 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>9 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>10 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>11 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>12 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>11 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>12 [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]=>14 [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]=>8 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>9 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>10 [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]=>12 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>8 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>9 [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]=>9 [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]=>9 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>9 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>10 [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]=>10 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>9 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>10 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>11 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>9 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>9
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Description
The sum of the heights of the peaks of a Dyck path.
References
[1] Feinberg, G., Lee, K.-H. Homogeneous representations of Type A KLR-algebras and Dyck paths arXiv:1505.04075
Code
def statistic(D):
    heights = D.heights()
    return sum( heights[i+1] for i in D.peaks() )
Created
Feb 17, 2016 at 20:33 by Christian Stump
Updated
Feb 21, 2022 at 18:53 by Martin Rubey