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Identifier
Values
=>
Cc0005;cc-rep
[1,0,1,0]=>0 [1,1,0,0]=>1 [1,0,1,0,1,0]=>0 [1,0,1,1,0,0]=>2 [1,1,0,0,1,0]=>3 [1,1,0,1,0,0]=>1 [1,1,1,0,0,0]=>1 [1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,0,1,0]=>5 [1,0,1,1,0,1,0,0]=>2 [1,0,1,1,1,0,0,0]=>2 [1,1,0,0,1,0,1,0]=>3 [1,1,0,0,1,1,0,0]=>6 [1,1,0,1,0,0,1,0]=>4 [1,1,0,1,0,1,0,0]=>1 [1,1,0,1,1,0,0,0]=>3 [1,1,1,0,0,0,1,0]=>4 [1,1,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,0,0]=>1 [1,1,1,1,0,0,0,0]=>1 [1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,1,0,0]=>4 [1,0,1,0,1,1,0,0,1,0]=>7 [1,0,1,0,1,1,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,0]=>5 [1,0,1,1,0,0,1,1,0,0]=>9 [1,0,1,1,0,1,0,0,1,0]=>6 [1,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,1,0,1,1,0,0,0]=>5 [1,0,1,1,1,0,0,0,1,0]=>6 [1,0,1,1,1,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,0,1,0,1,0]=>3 [1,1,0,0,1,0,1,1,0,0]=>7 [1,1,0,0,1,1,0,0,1,0]=>10 [1,1,0,0,1,1,0,1,0,0]=>6 [1,1,0,0,1,1,1,0,0,0]=>6 [1,1,0,1,0,0,1,0,1,0]=>4 [1,1,0,1,0,0,1,1,0,0]=>8 [1,1,0,1,0,1,0,0,1,0]=>5 [1,1,0,1,0,1,0,1,0,0]=>1 [1,1,0,1,0,1,1,0,0,0]=>4 [1,1,0,1,1,0,0,0,1,0]=>7 [1,1,0,1,1,0,0,1,0,0]=>6 [1,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,1,1,0,0,0,0]=>3 [1,1,1,0,0,0,1,0,1,0]=>4 [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]=>3 [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]=>4 [1,1,1,0,1,0,1,0,0,0]=>1 [1,1,1,0,1,1,0,0,0,0]=>3 [1,1,1,1,0,0,0,0,1,0]=>5 [1,1,1,1,0,0,0,1,0,0]=>4 [1,1,1,1,0,0,1,0,0,0]=>3 [1,1,1,1,0,1,0,0,0,0]=>1 [1,1,1,1,1,0,0,0,0,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,0,1,1,0,0]=>5 [1,0,1,0,1,0,1,1,0,0,1,0]=>9 [1,0,1,0,1,0,1,1,0,1,0,0]=>4 [1,0,1,0,1,0,1,1,1,0,0,0]=>4 [1,0,1,0,1,1,0,0,1,0,1,0]=>7 [1,0,1,0,1,1,0,0,1,1,0,0]=>12 [1,0,1,0,1,1,0,1,0,0,1,0]=>8 [1,0,1,0,1,1,0,1,0,1,0,0]=>3 [1,0,1,0,1,1,0,1,1,0,0,0]=>7 [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]=>7 [1,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,0,1,0]=>5 [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]=>14 [1,0,1,1,0,0,1,1,0,1,0,0]=>9 [1,0,1,1,0,0,1,1,1,0,0,0]=>9 [1,0,1,1,0,1,0,0,1,0,1,0]=>6 [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]=>7 [1,0,1,1,0,1,0,1,0,1,0,0]=>2 [1,0,1,1,0,1,0,1,1,0,0,0]=>6 [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]=>9 [1,0,1,1,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,0,0,0]=>5 [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]=>11 [1,0,1,1,1,0,0,1,0,0,1,0]=>10 [1,0,1,1,1,0,0,1,0,1,0,0]=>5 [1,0,1,1,1,0,0,1,1,0,0,0]=>9 [1,0,1,1,1,0,1,0,0,0,1,0]=>7 [1,0,1,1,1,0,1,0,0,1,0,0]=>6 [1,0,1,1,1,0,1,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,0,0]=>5 [1,0,1,1,1,1,0,0,0,0,1,0]=>7 [1,0,1,1,1,1,0,0,0,1,0,0]=>6 [1,0,1,1,1,1,0,0,1,0,0,0]=>5 [1,0,1,1,1,1,0,1,0,0,0,0]=>2 [1,0,1,1,1,1,1,0,0,0,0,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,0]=>3 [1,1,0,0,1,0,1,0,1,1,0,0]=>8 [1,1,0,0,1,0,1,1,0,0,1,0]=>12 [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]=>7 [1,1,0,0,1,1,0,0,1,0,1,0]=>10 [1,1,0,0,1,1,0,0,1,1,0,0]=>15 [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]=>6 [1,1,0,0,1,1,0,1,1,0,0,0]=>10 [1,1,0,0,1,1,1,0,0,0,1,0]=>11 [1,1,0,0,1,1,1,0,0,1,0,0]=>10 [1,1,0,0,1,1,1,0,1,0,0,0]=>6 [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]=>4 [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]=>13 [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]=>8 [1,1,0,1,0,1,0,0,1,0,1,0]=>5 [1,1,0,1,0,1,0,0,1,1,0,0]=>10 [1,1,0,1,0,1,0,1,0,0,1,0]=>6 [1,1,0,1,0,1,0,1,0,1,0,0]=>1 [1,1,0,1,0,1,0,1,1,0,0,0]=>5 [1,1,0,1,0,1,1,0,0,0,1,0]=>9 [1,1,0,1,0,1,1,0,0,1,0,0]=>8 [1,1,0,1,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,0,0,0]=>4 [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]=>12 [1,1,0,1,1,0,0,1,0,0,1,0]=>11 [1,1,0,1,1,0,0,1,0,1,0,0]=>6 [1,1,0,1,1,0,0,1,1,0,0,0]=>10 [1,1,0,1,1,0,1,0,0,0,1,0]=>8 [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]=>3 [1,1,0,1,1,0,1,1,0,0,0,0]=>6 [1,1,0,1,1,1,0,0,0,0,1,0]=>8 [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]=>3 [1,1,0,1,1,1,1,0,0,0,0,0]=>3 [1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,1,1,0,0,0,1,0,1,1,0,0]=>9 [1,1,1,0,0,0,1,1,0,0,1,0]=>13 [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]=>8 [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]=>12 [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]=>3 [1,1,1,0,0,1,0,1,1,0,0,0]=>7 [1,1,1,0,0,1,1,0,0,0,1,0]=>11 [1,1,1,0,0,1,1,0,0,1,0,0]=>10 [1,1,1,0,0,1,1,0,1,0,0,0]=>6 [1,1,1,0,0,1,1,1,0,0,0,0]=>6 [1,1,1,0,1,0,0,0,1,0,1,0]=>5 [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]=>9 [1,1,1,0,1,0,0,1,0,1,0,0]=>4 [1,1,1,0,1,0,0,1,1,0,0,0]=>8 [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]=>5 [1,1,1,0,1,0,1,0,1,0,0,0]=>1 [1,1,1,0,1,0,1,1,0,0,0,0]=>4 [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]=>7 [1,1,1,0,1,1,0,0,1,0,0,0]=>6 [1,1,1,0,1,1,0,1,0,0,0,0]=>3 [1,1,1,0,1,1,1,0,0,0,0,0]=>3 [1,1,1,1,0,0,0,0,1,0,1,0]=>5 [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]=>9 [1,1,1,1,0,0,0,1,0,1,0,0]=>4 [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]=>7 [1,1,1,1,0,0,1,0,1,0,0,0]=>3 [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]=>6 [1,1,1,1,0,1,0,0,0,1,0,0]=>5 [1,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,1,0,0,0,0]=>1 [1,1,1,1,0,1,1,0,0,0,0,0]=>3 [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]=>5 [1,1,1,1,1,0,0,0,1,0,0,0]=>4 [1,1,1,1,1,0,0,1,0,0,0,0]=>3 [1,1,1,1,1,0,1,0,0,0,0,0]=>1 [1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>6 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>11 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>5 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>5 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>9 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>15 [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]=>4 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>9 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>10 [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]=>4 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>4 [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]=>13 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>18 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>12 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>12 [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]=>14 [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]=>3 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>8 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>13 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>12 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>7 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>7 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>8 [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 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>7 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>12 [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]=>8 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>7 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>9 [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]=>7 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>5 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>11 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>16 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>10 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>10 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>14 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>20 [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]=>9 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>14 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>15 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>14 [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]=>9 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>6 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>12 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>17 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>11 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>11 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>7 [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]=>8 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>7 [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]=>11 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>6 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>6 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>10 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>16 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>15 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>9 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>14 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>11 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>10 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>9 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>11 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>10 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>9 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>6 [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]=>17 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>11 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>11 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>10 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>16 [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]=>5 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>10 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>15 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>14 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>9 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>7 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>13 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>12 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>6 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>11 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>8 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>7 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>6 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>11 [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]=>9 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>5 [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]=>13 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>12 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>6 [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]=>10 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>5 [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]=>8 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>7 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>6 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>2 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>5 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>8 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>6 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>5 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>2 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>3 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>9 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>14 [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]=>8 [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]=>18 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>13 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>7 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>12 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>13 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>12 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>7 [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]=>10 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>16 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>21 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>15 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>15 [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]=>17 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>12 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>6 [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]=>16 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>15 [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]=>10 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>11 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>17 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>16 [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]=>15 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>12 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>11 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>6 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>10 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>12 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>11 [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]=>6 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>6 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>4 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>10 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>15 [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]=>9 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>13 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>19 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>14 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>8 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>13 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>14 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>13 [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]=>8 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>5 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>11 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>16 [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]=>10 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>6 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>12 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>7 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>6 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>11 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>10 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>5 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>5 [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]=>15 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>14 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>8 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>13 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>10 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>9 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>4 [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]=>10 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>9 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>8 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>4 [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]=>13 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>18 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>12 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>12 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>11 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>17 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>12 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>6 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>11 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>16 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>15 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>10 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>10 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>8 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>14 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>13 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>7 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>12 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>9 [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]=>3 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>7 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>12 [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]=>10 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>6 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>6 [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]=>14 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>13 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>7 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>12 [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]=>6 [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]=>9 [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]=>3 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>6 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>9 [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]=>6 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>3 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>3 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>4 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>10 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>15 [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]=>9 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>13 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>19 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>14 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>8 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>13 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>14 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>13 [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]=>8 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>7 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>13 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>18 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>12 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>12 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>8 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>14 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>9 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>3 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>8 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>13 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>12 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>7 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>7 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>11 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>17 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>16 [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]=>15 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>12 [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]=>6 [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]=>12 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>11 [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]=>6 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>6 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>5 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>11 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>16 [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]=>10 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>9 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>15 [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]=>4 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>9 [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 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>8 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>8 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>6 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>12 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>11 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>5 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>10 [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]=>6 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>1 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>5 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>10 [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]=>4 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>4 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>8 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>14 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>13 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>7 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>12 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>12 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>11 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>6 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>10 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>9 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>8 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>7 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>3 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>6 [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]=>8 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>7 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>6 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>3 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>3 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>5 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>11 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>16 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>10 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>10 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>9 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>15 [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]=>4 [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]=>14 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>13 [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]=>8 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>8 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>14 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>13 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>7 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>12 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>9 [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]=>3 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>7 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>12 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>11 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>10 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>6 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>6 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>6 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>12 [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]=>5 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>10 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>10 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>9 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>4 [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]=>6 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>5 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>1 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>4 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>9 [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]=>6 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>3 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>3 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>6 [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]=>11 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>5 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>10 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>10 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>9 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>4 [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]=>8 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>7 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>3 [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]=>7 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>6 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>5 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>4 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>3 [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]=>6 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>5 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>3 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>7 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>13 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>6 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>6 [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]=>18 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>12 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>5 [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]=>12 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>11 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>5 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>5 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>9 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>16 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>22 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>15 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>15 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>10 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>17 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>11 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>4 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>10 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>16 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>15 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>9 [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]=>10 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>17 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>16 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>9 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>15 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>11 [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]=>4 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>9 [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]=>10 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>9 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>4 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>7 [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]=>20 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>13 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>13 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>18 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>25 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>19 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>12 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>18 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>19 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>18 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>12 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>12 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>8 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>15 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>21 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>14 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>14 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>9 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>16 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>10 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>3 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>9 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>15 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>14 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>8 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>8 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>13 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>20 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>19 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>12 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>18 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>14 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>13 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>7 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>12 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>14 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>13 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>12 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>7 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>7 [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]=>15 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>21 [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]=>14 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>13 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>20 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>14 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>7 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>13 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>19 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>18 [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]=>9 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>16 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>15 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>8 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>14 [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]=>9 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>8 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>14 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>13 [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]=>7 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>7 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>9 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>16 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>15 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>8 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>14 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>14 [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]=>7 [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]=>10 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>9 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>8 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>7 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>10 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>9 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>7 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>3 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>5 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>12 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>18 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>11 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>11 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>16 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>23 [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]=>10 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>16 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>17 [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]=>10 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>10 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>14 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>21 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>27 [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]=>20 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>15 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>22 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>16 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>9 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>15 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>21 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>20 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>14 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>14 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>15 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>22 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>21 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>14 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>20 [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]=>15 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>9 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>14 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>16 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>15 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>14 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>9 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>9 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>6 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>13 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>19 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>12 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>12 [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]=>24 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>18 [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]=>17 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>18 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>17 [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]=>11 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>7 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>14 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>20 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>13 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>13 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>8 [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]=>9 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>8 [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]=>13 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>7 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>7 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>12 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>19 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>18 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>11 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>17 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>13 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>12 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>6 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>11 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>13 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>12 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>11 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>6 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>6 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>10 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>17 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>23 [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]=>16 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>15 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>22 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>16 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>9 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>15 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>21 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>20 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>14 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>14 [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]=>18 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>17 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>10 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>16 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>12 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>11 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>10 [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]=>15 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>14 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>9 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>9 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>11 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>18 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>17 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>10 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>16 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>16 [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]=>9 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>14 [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]=>11 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>10 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>9 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>12 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>11 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>10 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>9 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>5 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>6 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>13 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>19 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>12 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>12 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>17 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>24 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>18 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>11 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>17 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>18 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>17 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>11 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>11 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>10 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>17 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>23 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>16 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>16 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>11 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>18 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>12 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>5 [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]=>17 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>16 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>10 [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]=>15 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>22 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>21 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>14 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>20 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>16 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>15 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>9 [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]=>16 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>15 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>14 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>9 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>9 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>7 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>14 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>20 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>13 [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]=>19 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>13 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>6 [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]=>18 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>17 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>11 [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]=>8 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>15 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>14 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>7 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>13 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>9 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>8 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>7 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>13 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>12 [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]=>6 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>6 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>11 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>18 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>17 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>10 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>16 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>16 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>15 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>9 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>14 [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]=>11 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>10 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>9 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>12 [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]=>10 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>9 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>5 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>5 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>7 [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]=>20 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>13 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>13 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>12 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>19 [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]=>6 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>12 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>18 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>17 [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]=>11 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>11 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>18 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>17 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>10 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>16 [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]=>11 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>5 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>10 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>16 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>15 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>14 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>9 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>8 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>15 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>14 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>7 [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]=>12 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>6 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>11 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>9 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>8 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>7 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>2 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>6 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>12 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>11 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>10 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>9 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>5 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>5 [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]=>15 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>14 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>7 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>13 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>13 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>12 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>6 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>11 [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]=>11 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>10 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>5 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>9 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>9 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>8 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>7 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>6 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>2 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>5 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>9 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>8 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>7 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>6 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>2 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>3 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>10 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>16 [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]=>9 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>14 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>21 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>15 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>8 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>14 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>15 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>14 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>8 [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]=>12 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>19 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>25 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>18 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>18 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>13 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>20 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>14 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>7 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>13 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>19 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>18 [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]=>13 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>20 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>19 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>12 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>18 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>14 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>13 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>7 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>12 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>14 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>13 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>12 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>7 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>7 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>10 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>17 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>23 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>16 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>16 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>21 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>28 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>22 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>15 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>21 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>22 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>21 [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 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>11 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>18 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>24 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>17 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>17 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>12 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>19 [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]=>6 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>12 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>18 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>17 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>11 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>11 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>16 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>23 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>22 [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]=>21 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>17 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>16 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>10 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>15 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>17 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>16 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>15 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>10 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>10 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>11 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>18 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>24 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>17 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>17 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>16 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>23 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>17 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>10 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>16 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>22 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>21 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>15 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>15 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>12 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>19 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>18 [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]=>17 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>13 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>12 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>6 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>11 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>17 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>16 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>15 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>10 [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]=>19 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>18 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>11 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>17 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>17 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>16 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>10 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>15 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>13 [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]=>11 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>6 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>13 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>12 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>11 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>10 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>6 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>4 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>11 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>17 [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]=>10 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>15 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>22 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>16 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>9 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>15 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>16 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>15 [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]=>9 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>13
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Description
The sum of the skew hook positions in a Dyck path.
A skew hook is an occurrence of a down step followed by two up steps or of an up step followed by a down step.
Write $U_i$ for the $i$-th up step and $D_j$ for the $j$-th down step in the Dyck path. Then the skew hook set is the set $$H = \{j: U_{i−1} U_i D_j \text{ is a skew hook}\} \cup \{i: D_{i−1} D_i U_j\text{ is a skew hook}\}.$$
This statistic is the sum of all elements in $H$.
References
[1] Zhao, H., Zhong, Z. Two statistics linking Dyck paths and non-crossing partitions MathSciNet:2788700
Code
def statistic(P):
    # record for each step how many steps of the same type there were before
    i = j = 0
    S = [None]*len(P)
    for k, s in enumerate(P):
        if s == 0:
            j += 1
            S[k] = j
        else:
            i += 1
            S[k] = i

    H = []
    for k in range(2, len(P)):
        if P[k-2] == P[k-1] == 1 and P[k] == 0:
            H.append(S[k])
        if P[k-2] == P[k-1] == 0 and P[k] == 1:
            H.append(S[k-1])

    return sum(H)
Created
Aug 23, 2017 at 01:00 by Martin Rubey
Updated
Aug 23, 2017 at 01:00 by Martin Rubey