WORST_CASE(?,O(n^1))

Solution:
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  "E" :: [] -(0)-> "A"(1)
  "E" :: [] -(0)-> "A"(0)
  "O" :: ["A"(1)] -(1)-> "A"(1)
  "O" :: ["A"(0)] -(0)-> "A"(0)
  "Z" :: ["A"(1)] -(1)-> "A"(1)
  "Z" :: ["A"(0)] -(0)-> "A"(0)
  "flip#1" :: ["A"(1)] -(1)-> "A"(0)
  "main" :: ["A"(1)] -(2)-> "A"(0)


Cost Free Signatures:
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