WORST_CASE(?,O(n^2))

Solution:
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  "0" :: [] -(0)-> "A"(6, 3)
  "0" :: [] -(0)-> "A"(1, 0)
  "f" :: ["A"(6, 3)] -(1)-> "A"(1, 0)
  "p" :: ["A"(3, 3)] -(0)-> "A"(6, 3)
  "s" :: ["A"(9, 3)] -(6)-> "A"(6, 3)
  "s" :: ["A"(6, 3)] -(3)-> "A"(3, 3)
  "s" :: ["A"(1, 0)] -(1)-> "A"(1, 0)


Cost Free Signatures:
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Base Constructors:
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