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Identifier
Values
=>
Cc0005;cc-rep
[1,0,1,0]=>1 [1,1,0,0]=>0 [1,0,1,0,1,0]=>2 [1,0,1,1,0,0]=>1 [1,1,0,0,1,0]=>2 [1,1,0,1,0,0]=>1 [1,1,1,0,0,0]=>0 [1,0,1,0,1,0,1,0]=>3 [1,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,0]=>3 [1,0,1,1,0,1,0,0]=>2 [1,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,0]=>3 [1,1,0,0,1,1,0,0]=>2 [1,1,0,1,0,0,1,0]=>4 [1,1,0,1,0,1,0,0]=>2 [1,1,0,1,1,0,0,0]=>1 [1,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,1,0,0]=>2 [1,1,1,0,1,0,0,0]=>1 [1,1,1,1,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0]=>4 [1,0,1,0,1,0,1,1,0,0]=>3 [1,0,1,0,1,1,0,0,1,0]=>4 [1,0,1,0,1,1,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,0,0]=>2 [1,0,1,1,0,0,1,0,1,0]=>4 [1,0,1,1,0,0,1,1,0,0]=>3 [1,0,1,1,0,1,0,0,1,0]=>5 [1,0,1,1,0,1,0,1,0,0]=>3 [1,0,1,1,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,0,0,1,0]=>4 [1,0,1,1,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,0,0]=>1 [1,1,0,0,1,0,1,0,1,0]=>4 [1,1,0,0,1,0,1,1,0,0]=>3 [1,1,0,0,1,1,0,0,1,0]=>4 [1,1,0,0,1,1,0,1,0,0]=>3 [1,1,0,0,1,1,1,0,0,0]=>2 [1,1,0,1,0,0,1,0,1,0]=>5 [1,1,0,1,0,0,1,1,0,0]=>4 [1,1,0,1,0,1,0,0,1,0]=>6 [1,1,0,1,0,1,0,1,0,0]=>3 [1,1,0,1,0,1,1,0,0,0]=>2 [1,1,0,1,1,0,0,0,1,0]=>5 [1,1,0,1,1,0,0,1,0,0]=>3 [1,1,0,1,1,0,1,0,0,0]=>2 [1,1,0,1,1,1,0,0,0,0]=>1 [1,1,1,0,0,0,1,0,1,0]=>4 [1,1,1,0,0,0,1,1,0,0]=>3 [1,1,1,0,0,1,0,0,1,0]=>6 [1,1,1,0,0,1,0,1,0,0]=>3 [1,1,1,0,0,1,1,0,0,0]=>2 [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]=>2 [1,1,1,0,1,1,0,0,0,0]=>1 [1,1,1,1,0,0,0,0,1,0]=>4 [1,1,1,1,0,0,0,1,0,0]=>3 [1,1,1,1,0,0,1,0,0,0]=>2 [1,1,1,1,0,1,0,0,0,0]=>1 [1,1,1,1,1,0,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0]=>5 [1,0,1,0,1,0,1,0,1,1,0,0]=>4 [1,0,1,0,1,0,1,1,0,0,1,0]=>5 [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]=>3 [1,0,1,0,1,1,0,0,1,0,1,0]=>5 [1,0,1,0,1,1,0,0,1,1,0,0]=>4 [1,0,1,0,1,1,0,1,0,0,1,0]=>6 [1,0,1,0,1,1,0,1,0,1,0,0]=>4 [1,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,0]=>5 [1,0,1,0,1,1,1,0,0,1,0,0]=>4 [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]=>2 [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]=>4 [1,0,1,1,0,0,1,1,0,0,1,0]=>5 [1,0,1,1,0,0,1,1,0,1,0,0]=>4 [1,0,1,1,0,0,1,1,1,0,0,0]=>3 [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]=>5 [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]=>4 [1,0,1,1,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,0,1,1,0,0,0,1,0]=>6 [1,0,1,1,0,1,1,0,0,1,0,0]=>4 [1,0,1,1,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,0,0,1,0,1,0]=>5 [1,0,1,1,1,0,0,0,1,1,0,0]=>4 [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]=>4 [1,0,1,1,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,0,0,1,0]=>6 [1,0,1,1,1,0,1,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,0,0]=>2 [1,0,1,1,1,1,0,0,0,0,1,0]=>5 [1,0,1,1,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,0]=>3 [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]=>1 [1,1,0,0,1,0,1,0,1,0,1,0]=>5 [1,1,0,0,1,0,1,0,1,1,0,0]=>4 [1,1,0,0,1,0,1,1,0,0,1,0]=>5 [1,1,0,0,1,0,1,1,0,1,0,0]=>4 [1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,0]=>5 [1,1,0,0,1,1,0,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,1,0,0,1,0]=>6 [1,1,0,0,1,1,0,1,0,1,0,0]=>4 [1,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,1,1,0,0,0,1,0]=>5 [1,1,0,0,1,1,1,0,0,1,0,0]=>4 [1,1,0,0,1,1,1,0,1,0,0,0]=>3 [1,1,0,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,1,0,0,1,0,1,0,1,0]=>6 [1,1,0,1,0,0,1,0,1,1,0,0]=>5 [1,1,0,1,0,0,1,1,0,0,1,0]=>6 [1,1,0,1,0,0,1,1,0,1,0,0]=>5 [1,1,0,1,0,0,1,1,1,0,0,0]=>4 [1,1,0,1,0,1,0,0,1,0,1,0]=>7 [1,1,0,1,0,1,0,0,1,1,0,0]=>6 [1,1,0,1,0,1,0,1,0,0,1,0]=>8 [1,1,0,1,0,1,0,1,0,1,0,0]=>4 [1,1,0,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,1,0,1,1,0,0,0,1,0]=>7 [1,1,0,1,0,1,1,0,0,1,0,0]=>4 [1,1,0,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,1,1,0,0,0,0]=>2 [1,1,0,1,1,0,0,0,1,0,1,0]=>6 [1,1,0,1,1,0,0,0,1,1,0,0]=>5 [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]=>4 [1,1,0,1,1,0,0,1,1,0,0,0]=>3 [1,1,0,1,1,0,1,0,0,0,1,0]=>7 [1,1,0,1,1,0,1,0,0,1,0,0]=>5 [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]=>2 [1,1,0,1,1,1,0,0,0,0,1,0]=>6 [1,1,0,1,1,1,0,0,0,1,0,0]=>4 [1,1,0,1,1,1,0,0,1,0,0,0]=>3 [1,1,0,1,1,1,0,1,0,0,0,0]=>2 [1,1,0,1,1,1,1,0,0,0,0,0]=>1 [1,1,1,0,0,0,1,0,1,0,1,0]=>5 [1,1,1,0,0,0,1,0,1,1,0,0]=>4 [1,1,1,0,0,0,1,1,0,0,1,0]=>5 [1,1,1,0,0,0,1,1,0,1,0,0]=>4 [1,1,1,0,0,0,1,1,1,0,0,0]=>3 [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]=>6 [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]=>4 [1,1,1,0,0,1,0,1,1,0,0,0]=>3 [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]=>4 [1,1,1,0,0,1,1,0,1,0,0,0]=>3 [1,1,1,0,0,1,1,1,0,0,0,0]=>2 [1,1,1,0,1,0,0,0,1,0,1,0]=>6 [1,1,1,0,1,0,0,0,1,1,0,0]=>5 [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]=>5 [1,1,1,0,1,0,0,1,1,0,0,0]=>4 [1,1,1,0,1,0,1,0,0,0,1,0]=>7 [1,1,1,0,1,0,1,0,0,1,0,0]=>6 [1,1,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,1,0,1,0,1,1,0,0,0,0]=>2 [1,1,1,0,1,1,0,0,0,0,1,0]=>6 [1,1,1,0,1,1,0,0,0,1,0,0]=>5 [1,1,1,0,1,1,0,0,1,0,0,0]=>3 [1,1,1,0,1,1,0,1,0,0,0,0]=>2 [1,1,1,0,1,1,1,0,0,0,0,0]=>1 [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]=>4 [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]=>4 [1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,1,1,1,0,0,1,0,0,0,1,0]=>7 [1,1,1,1,0,0,1,0,0,1,0,0]=>6 [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]=>2 [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]=>2 [1,1,1,1,0,1,1,0,0,0,0,0]=>1 [1,1,1,1,1,0,0,0,0,0,1,0]=>5 [1,1,1,1,1,0,0,0,0,1,0,0]=>4 [1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,1,1,1,1,0,0,1,0,0,0,0]=>2 [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]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>6 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>5 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>6 [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]=>4 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>6 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>7 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>5 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>4 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>6 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>5 [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]=>3 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>6 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>5 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>4 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>7 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>6 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>8 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>5 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>4 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>7 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>5 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>4 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>6 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [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]=>5 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>4 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>7 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>6 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>4 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>6 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>5 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>4 [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]=>2 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>6 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>5 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>4 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>7 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>5 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>4 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>5 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>4 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>7 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>6 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>7 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>6 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>5 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>8 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>7 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>9 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>4 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>8 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>5 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>7 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>6 [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]=>5 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>4 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>8 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>6 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>4 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>7 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>5 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>2 [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]=>5 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>5 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>4 [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]=>7 [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]=>5 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>4 [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]=>5 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>3 [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]=>6 [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]=>6 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>5 [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]=>4 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>7 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>6 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>2 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>6 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>9 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>5 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>8 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>7 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>3 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>7 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>6 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>5 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>3 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>2 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>6 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>5 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>4 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>3 [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]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>6 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>5 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>6 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>5 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>6 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>7 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>5 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>4 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>6 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>5 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>4 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>6 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>5 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>7 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>6 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>8 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>5 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>4 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>7 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>5 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>4 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>6 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [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]=>5 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>4 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>7 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>6 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>4 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>6 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>5 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>7 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>6 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>7 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>6 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>7 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>8 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>6 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>5 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>7 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>6 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>5 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>8 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>7 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>8 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>7 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>6 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>9 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>8 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>10 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>4 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>9 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>5 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>3 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>8 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>7 [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]=>5 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>4 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>9 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>6 [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]=>3 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>8 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>5 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>3 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>2 [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]=>6 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>7 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>6 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>5 [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]=>8 [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]=>5 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>4 [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]=>5 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>3 [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]=>7 [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]=>6 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>5 [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]=>7 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>4 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>3 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>8 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>6 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>3 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>2 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>7 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>6 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>10 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>5 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>4 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>9 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>7 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>3 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>8 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>6 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>5 [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]=>2 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>7 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>5 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>4 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>3 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>2 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>6 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>5 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>6 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>5 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>4 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>6 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>7 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>5 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>4 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>6 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>4 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [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]=>7 [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]=>7 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>6 [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]=>8 [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]=>5 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>4 [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]=>5 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>4 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>3 [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]=>7 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>10 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>5 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>4 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>9 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>6 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>4 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>3 [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]=>5 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>4 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>3 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>2 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>7 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>6 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>7 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>6 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>5 [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]=>9 [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]=>6 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>5 [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]=>6 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>5 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>4 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>8 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>7 [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]=>7 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>6 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>9 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>8 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>4 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>3 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>8 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>7 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>4 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>3 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>2 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>7 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>6 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>11 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>6 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>5 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>9 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>8 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>3 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>8 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>7 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>5 [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]=>2 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>7 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>6 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>4 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>3 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>2 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>1 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>6 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>5 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>6 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>5 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>4 [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]=>8 [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]=>5 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>4 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>9 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>5 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>4 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>3 [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]=>7 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>12 [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]=>6 [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]=>4 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>3 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>8 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>7 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>4 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>3 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>2 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>7 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>6 [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]=>6 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>5 [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]=>5 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>4 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>8 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>7 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>6 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>3 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>2 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>7 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>6 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>5 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>3 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>2 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>1 [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]=>5 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>10 [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]=>4 [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]=>8 [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]=>3 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>8 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>7 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>6 [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]=>2 [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]=>2 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>5 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>4 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>3 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>2 [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]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>7 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>6 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>7 [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]=>5 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>7 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>6 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>8 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>6 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>5 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>7 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>6 [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]=>4 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>7 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>6 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>7 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>6 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>8 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>7 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>9 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>6 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>5 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>8 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>6 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>5 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>7 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>6 [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]=>6 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>5 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>8 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>7 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>5 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>4 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>7 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>6 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>5 [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]=>3 [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]=>6 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>7 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>6 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>7 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>8 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>6 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>5 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>7 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>6 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>5 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>4 [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]=>7 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>8 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>7 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>6 [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]=>8 [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]=>6 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>5 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>9 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>6 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>5 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>8 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>7 [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]=>6 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>5 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>9 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>7 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>5 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>8 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>6 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>5 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>7 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>6 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>7 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>6 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [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]=>8 [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]=>6 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>5 [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]=>6 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>5 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>8 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>7 [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]=>7 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>6 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>9 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>8 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>5 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>8 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>7 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>5 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>7 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>10 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>6 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>5 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>9 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>8 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>5 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>8 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>7 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>6 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>3 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>7 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>6 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>5 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [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]=>2 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>7 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>6 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>7 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>6 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>5 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>7 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>6 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>8 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>6 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>5 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>7 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>6 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>5 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>7 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>6 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>7 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>6 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>8 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>7 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>9 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>6 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>5 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>8 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>6 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>7 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>6 [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]=>6 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>5 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>8 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>7 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>5 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>4 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>7 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>5 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>8 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>7 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>8 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>7 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>6 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>8 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>9 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>7 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>6 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>8 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>7 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>6 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>9 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>8 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>9 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>8 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>7 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>10 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>9 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>11 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>6 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>5 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>10 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>6 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>4 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>9 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>8 [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]=>6 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>5 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>10 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>7 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>9 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>6 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>5 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>3 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>8 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>7 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>8 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>7 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>6 [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]=>9 [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]=>6 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>5 [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]=>6 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>9 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>8 [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]=>7 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>6 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>10 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>8 [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]=>4 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>9 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>7 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>8 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>7 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>11 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>6 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>10 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>8 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>9 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>7 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>6 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>3 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>8 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>6 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>3 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>2 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>7 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>6 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>7 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>6 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>5 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>7 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>6 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>8 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>6 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>5 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>7 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>6 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [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]=>8 [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]=>8 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>7 [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]=>9 [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]=>6 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>5 [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]=>6 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>4 [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]=>8 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>11 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>6 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>5 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>10 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>7 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>4 [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]=>6 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>5 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>3 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>8 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>7 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>8 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>7 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>6 [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]=>10 [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]=>7 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>6 [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]=>7 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>6 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>9 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>8 [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]=>8 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>7 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>10 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>9 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>4 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>9 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>8 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>8 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>7 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>12 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>7 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>6 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>10 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>9 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>9 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>8 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>6 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>3 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>8 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>7 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>4 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>3 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>2 [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]=>6 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>7 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>6 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>5 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>10 [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]=>11 [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]=>5 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>10 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>6 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>9 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>8 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>13 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>8 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>7 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>10 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>9 [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]=>4 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>9 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>8 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>5 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>3 [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]=>7 [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]=>7 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>6 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>11 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>10 [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]=>5 [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]=>4 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>3 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>8 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>7 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>6 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>4 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>3 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>2 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>7 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>6 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>11 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>6 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>5 [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]=>9 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>5 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>4 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>9 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>7 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>3 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>8 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>7 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>6 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>5 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>3 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>2 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>7 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>6 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>5 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>3 [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]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>7 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>6 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>7 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>6 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>5 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>7 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>6 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>8 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>6 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>5 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>7 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>6 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>5 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>7 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>6 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>7 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>6 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>8 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>7 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>9 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>6 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>5 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>8 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>6 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>5 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>7 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>6 [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]=>6 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>5 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>8 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>7 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>5 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>4 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>7 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>6 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>5 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>7 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>6 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>7 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>6 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>7 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>8 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>6 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>5 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>7 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>6 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>5 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>8 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>7 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>8 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>7 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>6 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>9 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>8 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>10 [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]=>5 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>9 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>6 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>5 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>8 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>7 [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]=>6 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>5 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>9 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>7 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>5 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>8 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>6 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>5 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>3 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>7 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>6 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>7 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>6 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [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]=>8 [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]=>6 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>5 [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]=>6 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>5 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>8 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>7 [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]=>7 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>6 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>9 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>8 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>5 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>8 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>7 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>5 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>3 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>7 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>10 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>6 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>5 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>9 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>8 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>5 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>8 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>7 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>6 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>3 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>7 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>6 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>5 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>3 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>8 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>7 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>8 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>7 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>6 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>8 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>7 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>9 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>7 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>6 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>8 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>7 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>6 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>5 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>8
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Description
The sum of the semi-lengths of tunnels before a valley of a Dyck path.
For each valley $v$ in a Dyck path $D$ there is a corresponding tunnel, which
is the factor $T_v = s_i\dots s_j$ of $D$ where $s_i$ is the step after the first intersection of $D$ with the line $y = ht(v)$ to the left of $s_j$. This statistic is
$$ \sum_v (j_v-i_v)/2. $$
References
[1] Cheng, S.-E., Elizalde, S., Kasraoui, A., Sagan, B. Inversion polynomials for 321-avoiding permutations arXiv:1112.6014
Code
def statistic(D):
    V = D.valleys()
    V_tunnels = [t for t in D.tunnels() if t[1]-1 in V]
    return sum(j-i for (i,j) in V_tunnels)/2
Created
May 02, 2016 at 06:41 by Martin Rubey
Updated
Jun 10, 2016 at 18:57 by Martin Rubey