BEST_CASE(Omega(n^2),?)

Solution:
---------

  "0" :: [] -(0)-> "A"(0, 0)
  "Cons" :: ["A"(0, 0) x "A"(2, 0)] -(2)-> "A"(2, 0)
  "Cons" :: ["A"(0, 0) x "A"(3, 0)] -(3)-> "A"(3, 0)
  "Cons" :: ["A"(0, 0) x "A"(1, 0)] -(1)-> "A"(1, 0)
  "Cons" :: ["A"(0, 0) x "A"(0, 0)] -(0)-> "A"(0, 0)
  "Cons" :: ["A"(0, 0) x "A"(6, 5)] -(6)-> "A"(1, 5)
  "Cons" :: ["A"(0, 0) x "A"(13, 6)] -(13)-> "A"(7, 6)
  "False" :: [] -(0)-> "A"(15, 0)
  "False" :: [] -(0)-> "A"(0, 0)
  "False" :: [] -(0)-> "A"(3, 0)
  "Nil" :: [] -(0)-> "A"(2, 0)
  "Nil" :: [] -(0)-> "A"(3, 0)
  "Nil" :: [] -(0)-> "A"(1, 0)
  "Nil" :: [] -(0)-> "A"(0, 0)
  "Nil" :: [] -(0)-> "A"(1, 5)
  "Nil" :: [] -(0)-> "A"(7, 6)
  "Pair" :: ["A"(0, 0) x "A"(0, 0)] -(0)-> "A"(0, 0)
  "S" :: ["A"(0, 0)] -(0)-> "A"(0, 0)
  "Triple" :: ["A"(0, 0) x "A"(0, 0) x "A"(0, 0)] -(0)-> "A"(0, 0)
  "Triple" :: ["A"(1, 3) x "A"(0, 0) x "A"(0, 0)] -(1)-> "A"(1, 0)
  "True" :: [] -(0)-> "A"(15, 0)
  "True" :: [] -(0)-> "A"(0, 0)
  "True" :: [] -(0)-> "A"(3, 0)
  "append#2" :: ["A"(1, 0) x "A"(0, 0)] -(1)-> "A"(0, 0)
  "bot[1]" :: [] -(0)-> "A"(0, 0)
  "bot[2]" :: [] -(0)-> "A"(0, 0)
  "cid_map_1" :: ["A"(0, 0)] -(0)-> "A"(0, 0)
  "cond_average_grade'_student_id_course_ids_table" :: ["A"(0, 0)] -(5)-> "A"(0, 0)
  "cond_average_grade'_student_id_course_ids_table_1" :: ["A"(0, 0)] -(1)-> "A"(0, 0)
  "cond_div_mod_n_m" :: ["A"(0, 0) x "A"(0, 0)] -(1)-> "A"(0, 0)
  "cond_div_mod_n_m_2" :: ["A"(0, 0) x "A"(0, 0)] -(1)-> "A"(0, 0)
  "cond_quicksort_gt_acc_l_1" :: ["A"(1, 0) x "A"(0, 0) x "A"(0, 0)] -(6)-> "A"(0, 0)
  "cond_quicksort_gt_acc_l_2" :: ["A"(0, 0) x "A"(0, 0) x "A"(0, 0) x "A"(1, 5)] -(5)-> "A"(0, 0)
  "cond_quicksort_gt_acc_l_3" :: ["A"(0, 0) x "A"(0, 0) x "A"(1, 0)] -(3)-> "A"(0, 0)
  "cond_sort_students_efficient_student_ids_course_ids" :: ["A"(0, 0)] -(1)-> "A"(0, 0)
  "div_mod#2" :: ["A"(0, 0) x "A"(0, 0)] -(3)-> "A"(0, 0)
  "eqNat#2" :: ["A"(0, 0) x "A"(0, 0)] -(1)-> "A"(5, 0)
  "f" :: ["A"(0, 0)] -(0)-> "A"(0, 0)
  "f_1" :: ["A"(0, 0) x "A"(0, 0)] -(0)-> "A"(0, 0)
  "find#2" :: ["A"(0, 0) x "A"(1, 0)] -(1)-> "A"(0, 0)
  "find2#2" :: ["A"(0, 0) x "A"(3, 0)] -(1)-> "A"(0, 0)
  "foldl2#3" :: ["A"(0, 0) x "A"(0, 0) x "A"(2, 0)] -(1)-> "A"(0, 0)
  "geqNat#2" :: ["A"(0, 0) x "A"(0, 0)] -(1)-> "A"(0, 0)
  "greater_eq'_course_ids" :: ["A"(0, 0)] -(0)-> "A"(0, 0)
  "greater_eq'_course_ids_sid1" :: ["A"(0, 0) x "A"(0, 0)] -(0)-> "A"(0, 0)
  "ite2#3" :: ["A"(15, 0) x "A"(0, 0) x "A"(0, 0)] -(1)-> "A"(0, 0)
  "ite3#3" :: ["A"(15, 0) x "A"(0, 0)] -(1)-> "A"(0, 0)
  "ite_b#2" :: ["A"(15, 0) x "A"(0, 0) x "A"(0, 0)] -(1)-> "A"(0, 0)
  "lookup_sid_cid_table_1" :: ["A"(0, 0)] -(0)-> "A"(0, 0)
  "main" :: ["A"(0, 0) x "A"(0, 5)] -(1)-> "A"(0, 0)
  "map#2" :: ["A"(0, 0) x "A"(0, 0)] -(1)-> "A"(0, 0)
  "minus'#2" :: ["A"(0, 0) x "A"(0, 0)] -(1)-> "A"(0, 0)
  "mk_table#2" :: ["A"(2, 0) x "A"(0, 0)] -(1)-> "A"(0, 0)
  "partition#3" :: ["A"(0, 0) x "A"(0, 0) x "A"(7, 6)] -(1)-> "A"(0, 0)
  "plus#2" :: ["A"(0, 0) x "A"(0, 0)] -(1)-> "A"(0, 0)
  "quicksort#3" :: ["A"(0, 0) x "A"(0, 0) x "A"(1, 5)] -(1)-> "A"(0, 0)


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




Base Constructors:
------------------
  "\"0\"_A" :: [] -(0)-> "A"(1, 0)
  "\"0\"_A" :: [] -(0)-> "A"(0, 1)
  "\"Cons\"_A" :: ["A"(0, 0) x "A"(1, 0)] -(1)-> "A"(1, 0)
  "\"Cons\"_A" :: ["A"(0, 0) x "A"(1, 1)] -(1)-> "A"(0, 1)
  "\"False\"_A" :: [] -(0)-> "A"(1, 0)
  "\"False\"_A" :: [] -(0)-> "A"(0, 1)
  "\"Nil\"_A" :: [] -(0)-> "A"(1, 0)
  "\"Nil\"_A" :: [] -(0)-> "A"(0, 1)
  "\"Pair\"_A" :: ["A"(0, 0) x "A"(1, 0)] -(1)-> "A"(1, 0)
  "\"Pair\"_A" :: ["A"(0, 0) x "A"(0, 8)] -(1)-> "A"(0, 1)
  "\"S\"_A" :: ["A"(1, 0)] -(1)-> "A"(1, 0)
  "\"S\"_A" :: ["A"(0, 8)] -(1)-> "A"(0, 1)
  "\"Triple\"_A" :: ["A"(1, 3) x "A"(0, 0) x "A"(0, 0)] -(1)-> "A"(1, 0)
  "\"Triple\"_A" :: ["A"(8, 1) x "A"(0, 0) x "A"(0, 0)] -(1)-> "A"(0, 1)
  "\"True\"_A" :: [] -(0)-> "A"(1, 0)
  "\"True\"_A" :: [] -(0)-> "A"(0, 1)
  "\"bot[1]\"_A" :: [] -(0)-> "A"(1, 0)
  "\"bot[1]\"_A" :: [] -(0)-> "A"(0, 1)
  "\"bot[2]\"_A" :: [] -(0)-> "A"(1, 0)
  "\"bot[2]\"_A" :: [] -(0)-> "A"(0, 1)
  "\"cid_map_1\"_A" :: ["A"(0)] -(1)-> "A"(1, 0)
  "\"cid_map_1\"_A" :: ["A"(0)] -(1)-> "A"(0, 1)
  "\"f\"_A" :: ["A"(14, 14)] -(1)-> "A"(1, 0)
  "\"f\"_A" :: ["A"(14, 14)] -(1)-> "A"(0, 1)
  "\"f_1\"_A" :: ["A"(0) x "A"(0)] -(1)-> "A"(1, 0)
  "\"f_1\"_A" :: ["A"(0) x "A"(0)] -(1)-> "A"(0, 1)
  "\"greater_eq'_course_ids\"_A" :: ["A"(0)] -(1)-> "A"(1, 0)
  "\"greater_eq'_course_ids\"_A" :: ["A"(0)] -(1)-> "A"(0, 1)
  "\"greater_eq'_course_ids_sid1\"_A" :: ["A"(0) x "A"(0)] -(1)-> "A"(1, 0)
  "\"greater_eq'_course_ids_sid1\"_A" :: ["A"(0) x "A"(0)] -(1)-> "A"(0, 1)
  "\"lookup_sid_cid_table_1\"_A" :: ["A"(0)] -(1)-> "A"(1, 0)
  "\"lookup_sid_cid_table_1\"_A" :: ["A"(0)] -(1)-> "A"(0, 1)