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Identifier
  • St000932: Dyck paths ⟶ ℤ (values match St001067The number of simple modules of dominant dimension at least two in the corresponding Nakayama algebra., St001223Number of indecomposable projective non-injective modules P such that the modules X and Y in a an Auslander-Reiten sequence ending at P are torsionless.)
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]=>0 [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]=>1 [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]=>1 [1,1,0,0,1,1,0,0]=>0 [1,1,0,1,0,0,1,0]=>1 [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]=>0 [1,1,1,0,0,1,0,0]=>0 [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]=>2 [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]=>2 [1,0,1,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,0,1,0]=>2 [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]=>1 [1,0,1,1,1,0,0,1,0,0]=>1 [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]=>2 [1,1,0,0,1,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,0,1,0]=>0 [1,1,0,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,0]=>0 [1,1,0,1,0,0,1,0,1,0]=>2 [1,1,0,1,0,0,1,1,0,0]=>1 [1,1,0,1,0,1,0,0,1,0]=>2 [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]=>1 [1,1,0,1,1,0,0,1,0,0]=>1 [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]=>1 [1,1,1,0,0,0,1,1,0,0]=>0 [1,1,1,0,0,1,0,0,1,0]=>0 [1,1,1,0,0,1,0,1,0,0]=>1 [1,1,1,0,0,1,1,0,0,0]=>0 [1,1,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,0,0]=>1 [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]=>0 [1,1,1,1,0,0,0,1,0,0]=>0 [1,1,1,1,0,0,1,0,0,0]=>0 [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]=>3 [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]=>3 [1,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,1,0,0,1,0]=>3 [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]=>2 [1,0,1,0,1,1,1,0,0,1,0,0]=>2 [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]=>3 [1,0,1,1,0,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,0]=>3 [1,0,1,1,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,0,1,0,0,1,0]=>3 [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]=>2 [1,0,1,1,0,1,1,0,0,1,0,0]=>2 [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]=>2 [1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,0,1,0,0]=>2 [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]=>1 [1,0,1,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,0]=>1 [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]=>3 [1,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,0,0,1,1,0,0]=>0 [1,1,0,0,1,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,0]=>0 [1,1,0,0,1,1,1,0,0,1,0,0]=>0 [1,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,0]=>0 [1,1,0,1,0,0,1,0,1,0,1,0]=>3 [1,1,0,1,0,0,1,0,1,1,0,0]=>2 [1,1,0,1,0,0,1,1,0,0,1,0]=>1 [1,1,0,1,0,0,1,1,0,1,0,0]=>2 [1,1,0,1,0,0,1,1,1,0,0,0]=>1 [1,1,0,1,0,1,0,0,1,0,1,0]=>3 [1,1,0,1,0,1,0,0,1,1,0,0]=>2 [1,1,0,1,0,1,0,1,0,0,1,0]=>3 [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]=>2 [1,1,0,1,0,1,1,0,0,1,0,0]=>2 [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]=>2 [1,1,0,1,1,0,0,0,1,1,0,0]=>1 [1,1,0,1,1,0,0,1,0,0,1,0]=>1 [1,1,0,1,1,0,0,1,0,1,0,0]=>2 [1,1,0,1,1,0,0,1,1,0,0,0]=>1 [1,1,0,1,1,0,1,0,0,0,1,0]=>2 [1,1,0,1,1,0,1,0,0,1,0,0]=>2 [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]=>1 [1,1,0,1,1,1,0,0,0,1,0,0]=>1 [1,1,0,1,1,1,0,0,1,0,0,0]=>1 [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]=>2 [1,1,1,0,0,0,1,0,1,1,0,0]=>1 [1,1,1,0,0,0,1,1,0,0,1,0]=>0 [1,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,1,1,0,0,0,1,1,1,0,0,0]=>0 [1,1,1,0,0,1,0,0,1,0,1,0]=>1 [1,1,1,0,0,1,0,0,1,1,0,0]=>0 [1,1,1,0,0,1,0,1,0,0,1,0]=>1 [1,1,1,0,0,1,0,1,0,1,0,0]=>2 [1,1,1,0,0,1,0,1,1,0,0,0]=>1 [1,1,1,0,0,1,1,0,0,0,1,0]=>0 [1,1,1,0,0,1,1,0,0,1,0,0]=>0 [1,1,1,0,0,1,1,0,1,0,0,0]=>1 [1,1,1,0,0,1,1,1,0,0,0,0]=>0 [1,1,1,0,1,0,0,0,1,0,1,0]=>2 [1,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,1,0,0,1,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,0,1,0,0]=>2 [1,1,1,0,1,0,0,1,1,0,0,0]=>1 [1,1,1,0,1,0,1,0,0,0,1,0]=>2 [1,1,1,0,1,0,1,0,0,1,0,0]=>2 [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]=>1 [1,1,1,0,1,1,0,0,0,1,0,0]=>1 [1,1,1,0,1,1,0,0,1,0,0,0]=>1 [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]=>1 [1,1,1,1,0,0,0,0,1,1,0,0]=>0 [1,1,1,1,0,0,0,1,0,0,1,0]=>0 [1,1,1,1,0,0,0,1,0,1,0,0]=>1 [1,1,1,1,0,0,0,1,1,0,0,0]=>0 [1,1,1,1,0,0,1,0,0,0,1,0]=>0 [1,1,1,1,0,0,1,0,0,1,0,0]=>0 [1,1,1,1,0,0,1,0,1,0,0,0]=>1 [1,1,1,1,0,0,1,1,0,0,0,0]=>0 [1,1,1,1,0,1,0,0,0,0,1,0]=>1 [1,1,1,1,0,1,0,0,0,1,0,0]=>1 [1,1,1,1,0,1,0,0,1,0,0,0]=>1 [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]=>0 [1,1,1,1,1,0,0,0,0,1,0,0]=>0 [1,1,1,1,1,0,0,0,1,0,0,0]=>0 [1,1,1,1,1,0,0,1,0,0,0,0]=>0 [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]=>4 [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]=>4 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>4 [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]=>3 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>3 [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]=>4 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>3 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>2 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>4 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>3 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>4 [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]=>3 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>3 [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]=>3 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>2 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>3 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>3 [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]=>2 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>2 [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]=>4 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>3 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>3 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>2 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>2 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>4 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>3 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>2 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>4 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>3 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>4 [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]=>3 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>3 [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]=>3 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>3 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>3 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>3 [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]=>2 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>2 [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]=>3 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>2 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>2 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>2 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>3 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>2 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>3 [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]=>2 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>2 [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]=>2 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>2 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>2 [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]=>1 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>1 [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]=>4 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>3 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>3 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>0 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>0 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>3 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>0 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>0 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>0 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>2 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>0 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>0 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>0 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>0 [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]=>3 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>3 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>2 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>1 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>2 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>3 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>2 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>2 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>1 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>4 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>3 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>2 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>3 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>2 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>4 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>4 [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]=>3 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>3 [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]=>3 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>2 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>2 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>3 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>2 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>3 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>3 [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]=>2 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>2 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>2 [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]=>3 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>2 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>1 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>2 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>1 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>2 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>1 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>2 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>3 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>2 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>1 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>1 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>2 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>1 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>3 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>2 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>2 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>3 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>2 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>3 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>3 [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]=>2 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>2 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>2 [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]=>2 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>1 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>1 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>2 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>1 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>1 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>1 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>2 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>1 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>2 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>2 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>2 [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]=>1 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>1 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>1 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>1 [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]=>3 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>2 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>1 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>2 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>1 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>1 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>0 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>1 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>2 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>1 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>0 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>0 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>1 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>0 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>2 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>1 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>0 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>1 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>0 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>2 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>1 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>2 [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]=>2 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>1 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>1 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>2 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>1 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>1 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>0 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>0 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>1 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>0 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>1 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>2 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>1 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>0 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>0 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>0 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>1 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>0 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>3 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>2 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>1 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>2 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>1 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>2 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>1 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>2 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>3 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>2 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>2 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>1 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>3 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>2 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>2 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>3 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>2 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>3 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>3 [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]=>2 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>2 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>2 [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]=>2 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>1 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>1 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>2 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>1 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>1 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>2 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>1 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>2 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>2 [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]=>1 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>1 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>1 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>1 [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]=>2 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>1 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>0 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>1 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>0 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>1 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>0 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>1 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>2 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>1 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>0 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>0 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>1 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>0 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>1 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>0 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>0 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>1 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>0 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>1 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>1 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>2 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>1 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>0 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>0 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>0 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>1 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>0 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>2 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>1 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>2 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>1 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>1 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>1 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>2 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>1 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>2 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>2 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>2 [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]=>1 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>1 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>1 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>1 [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]=>1 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>0 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>0 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>1 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>0 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>0 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>0 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>1 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>0 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>0 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>0 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>0 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>1 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>0 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>1 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>1 [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]=>0 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>0 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>0 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>0 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>0 [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]=>5 [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]=>5 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>4 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>5 [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]=>4 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>4 [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]=>5 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>4 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>3 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>4 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>5 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>4 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>5 [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]=>4 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>4 [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]=>4 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>3 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>4 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>3 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>4 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>4 [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]=>3 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>3 [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]=>5 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>4 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>3 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>4 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>3 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>3 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>4 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>5 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>4 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>3 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>4 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>5 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>4 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>5 [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]=>4 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>4 [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]=>4 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>3 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>4 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>4 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>4 [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]=>3 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>3 [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]=>4 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>3 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>3 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>4 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>2 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>4 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>3 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>4 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>4 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>4 [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]=>3 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>3 [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]=>3 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>2 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>2 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>3 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>3 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>3 [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]=>2 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>2 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>2 [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]=>5 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>4 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>3 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>4 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>3 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>3 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>4 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>3 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>3 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>3 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>4 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>2 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>2 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>5 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>4 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>3 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>4 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>3 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>3 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>4 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>5 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>4 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>3 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>4 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>5 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>4 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>5 [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]=>4 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>4 [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]=>4 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>3 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>4 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>4 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>4 [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]=>3 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>3 [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]=>4 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>3 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>3 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>3 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>4 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>4 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>3 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>4 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>4 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>4 [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]=>3 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>3 [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]=>3 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>3 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>3 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>3 [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]=>2 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>2 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>2 [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]=>4 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>2 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>2 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>2 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>2 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>1 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>3 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>3 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>4 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>1 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>2 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>4 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>3 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>2 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>3 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>3 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>4 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>4 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>4 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>4 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>4 [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]=>3 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>3 [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]=>3 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>3 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>3 [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]=>2 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>2 [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]=>3 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>2 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>2 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>2 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>3 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>2 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>2 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>3 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>2 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>3 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>3 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>2 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>3 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>3 [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]=>2 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>2 [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]=>2 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>2 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>1 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>2 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>1 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>2 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>2 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>2 [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]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>1 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>1 [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]=>5 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>4 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>3 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>4 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>3 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>3 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>4 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>3 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>3 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>3 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>4 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>2 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>2 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>0 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>0 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>0 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>0 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>3 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>3 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>3 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>4 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>3 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>2 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>1 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>2 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>0 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>0 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>0 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>0 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>0 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>0 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>2 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>2 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>2 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>2 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>0 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>0 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>0 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>0 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>0 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>0 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>2 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>0 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>0 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>0 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>0 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>0 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>5 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>4 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>3 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>4 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>3 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>3 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>4 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>3
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Description
The number of occurrences of the pattern UDU in a Dyck path.
The number of Dyck paths with statistic value 0 are counted by the Motzkin numbers [1].
References
[1] Motzkin numbers: number of ways of drawing any number of nonintersecting chords joining n (labeled) points on a circle. OEIS:A001006
Code
def statistic(D):
    return sum(1 for i in range(len(D)-2) if D[i:i+3] == [1,0,1])
Created
Aug 09, 2017 at 14:30 by Christian Stump
Updated
Aug 09, 2017 at 14:30 by Christian Stump