WORST_CASE(?,O(n^2))

Solution:
---------

  "f" :: ["A"(4, 0)] -(4)-> "A"(4, 3)
  "f" :: ["A"(4, 0)] -(4)-> "A"(4, 0)
  "f" :: ["A"(2, 0)] -(2)-> "A"(2, 2)
  "f" :: ["A"(2, 0)] -(2)-> "A"(2, 0)
  "f" :: ["A"(2, 0)] -(2)-> "A"(2, 14)
  "f" :: ["A"(0, 0)] -(0)-> "A"(0, 3)
  "f" :: ["A"(4, 0)] -(4)-> "A"(4, 15)
  "f" :: ["A"(0, 0)] -(0)-> "A"(0, 8)
  "g" :: ["A"(0, 3)] -(3)-> "A"(4, 3)
  "g" :: ["A"(0, 3)] -(3)-> "A"(0, 3)
  "g" :: ["A"(0, 2)] -(2)-> "A"(2, 2)
  "g" :: ["A"(0, 2)] -(2)-> "A"(0, 2)
  "g" :: ["A"(0, 0)] -(0)-> "A"(14, 0)
  "g" :: ["A"(0, 3)] -(3)-> "A"(8, 3)
  "g" :: ["A"(0, 0)] -(0)-> "A"(5, 0)
  "g" :: ["A"(0, 3)] -(3)-> "A"(12, 3)
  "p" :: ["A"(4, 3)] -(10)-> "A"(8, 10)
  "q" :: ["A"(2, 2)] -(11)-> "A"(8, 10)


Cost Free Signatures:
---------------------

  "f" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(0, 0)
  "f" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(0, 2)
  "f" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(0, 14)
  "f" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(0, 12)
  "f" :: ["A"_cf(4, 0)] -(4)-> "A"_cf(4, 0)
  "f" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(0, 1)
  "f" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(0, 6)
  "f" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(0, 4)
  "f" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(0, 15)
  "f" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(0, 10)
  "f" :: ["A"_cf(1, 0)] -(1)-> "A"_cf(1, 1)
  "f" :: ["A"_cf(1, 0)] -(1)-> "A"_cf(1, 0)
  "f" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(0, 7)
  "f" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(0, 11)
  "f" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(0, 8)
  "f" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(0, 3)
  "f" :: ["A"_cf(7, 0)] -(7)-> "A"_cf(7, 3)
  "f" :: ["A"_cf(7, 0)] -(7)-> "A"_cf(7, 0)
  "f" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(0, 13)
  "g" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(0, 0)
  "g" :: ["A"_cf(0, 2)] -(2)-> "A"_cf(0, 2)
  "g" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(15, 0)
  "g" :: ["A"_cf(0, 4)] -(4)-> "A"_cf(2, 4)
  "g" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(4, 0)
  "g" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(1, 0)
  "g" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(8, 0)
  "g" :: ["A"_cf(0, 1)] -(1)-> "A"_cf(0, 1)
  "g" :: ["A"_cf(0, 4)] -(4)-> "A"_cf(0, 4)
  "g" :: ["A"_cf(0, 4)] -(4)-> "A"_cf(8, 4)
  "g" :: ["A"_cf(0, 1)] -(1)-> "A"_cf(1, 1)
  "g" :: ["A"_cf(0, 1)] -(1)-> "A"_cf(8, 1)
  "g" :: ["A"_cf(0, 1)] -(1)-> "A"_cf(5, 1)
  "g" :: ["A"_cf(0, 3)] -(3)-> "A"_cf(0, 3)
  "g" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(14, 0)
  "g" :: ["A"_cf(0, 4)] -(4)-> "A"_cf(15, 4)
  "g" :: ["A"_cf(0, 3)] -(3)-> "A"_cf(7, 3)
  "g" :: ["A"_cf(0, 4)] -(4)-> "A"_cf(5, 4)
  "g" :: ["A"_cf(0, 3)] -(3)-> "A"_cf(13, 3)
  "g" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(9, 0)
  "p" :: ["A"_cf(0, 2)] -(0)-> "A"_cf(2, 0)
  "p" :: ["A"_cf(4, 0)] -(0)-> "A"_cf(2, 0)
  "p" :: ["A"_cf(0, 4)] -(0)-> "A"_cf(2, 0)
  "p" :: ["A"_cf(1, 1)] -(0)-> "A"_cf(2, 0)
  "p" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(0, 4)
  "q" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(2, 0)
  "q" :: ["A"_cf(0, 1)] -(0)-> "A"_cf(2, 0)
  "q" :: ["A"_cf(0, 3)] -(0)-> "A"_cf(2, 0)
  "q" :: ["A"_cf(7, 3)] -(0)-> "A"_cf(2, 0)
  "q" :: ["A"_cf(0, 1)] -(0)-> "A"_cf(0, 4)
  "q" :: ["A"_cf(1, 0)] -(0)-> "A"_cf(0, 4)


Base Constructors:
------------------
  "\"f\"_A" :: ["A"(1, 0)] -(1)-> "A"(1, 0)
  "\"f\"_A" :: ["A"(0, 0)] -(0)-> "A"(0, 1)
  "\"g\"_A" :: ["A"(0, 0)] -(0)-> "A"(1, 0)
  "\"g\"_A" :: ["A"(0, 1)] -(1)-> "A"(0, 1)