WORST_CASE(?,O(n^2)) Solution: --------- 0 :: [] -(0)-> A(0, 0) 0 :: [] -(0)-> A(1, 0) 0 :: [] -(0)-> A(9, 5) 0 :: [] -(0)-> A(6, 5) false :: [] -(0)-> A(0, 0) false :: [] -(0)-> A(1, 1) gcd :: [A(9, 5) x A(6, 5)] -(2)-> A(0, 0) if_gcd :: [A(0, 0) x A(8, 5) x A(6, 5)] -(0)-> A(0, 0) le :: [A(0, 0) x A(1, 0)] -(1)-> A(1, 1) minus :: [A(11, 5) x A(0, 0)] -(1)-> A(11, 5) s :: [A(0, 0)] -(0)-> A(0, 0) s :: [A(1, 0)] -(1)-> A(1, 0) s :: [A(16, 5)] -(11)-> A(11, 5) s :: [A(14, 5)] -(9)-> A(9, 5) s :: [A(11, 5)] -(6)-> A(6, 5) s :: [A(13, 5)] -(8)-> A(8, 5) true :: [] -(0)-> A(0, 0) true :: [] -(0)-> A(1, 1) Cost Free Signatures: --------------------- 0 :: [] -(0)-> A_cf(0, 0) 0 :: [] -(0)-> A_cf(2, 0) false :: [] -(0)-> A_cf(0, 0) false :: [] -(0)-> A_cf(1, 1) gcd :: [A_cf(0, 0) x A_cf(0, 0)] -(1)-> A_cf(0, 0) gcd :: [A_cf(0, 0) x A_cf(0, 0)] -(0)-> A_cf(0, 0) gcd :: [A_cf(2, 0) x A_cf(2, 0)] -(2)-> A_cf(0, 0) if_gcd :: [A_cf(1, 1) x A_cf(0, 0) x A_cf(0, 0)] -(1)-> A_cf(0, 0) if_gcd :: [A_cf(0, 0) x A_cf(0, 0) x A_cf(0, 0)] -(0)-> A_cf(0, 0) if_gcd :: [A_cf(1, 1) x A_cf(2, 0) x A_cf(2, 0)] -(1)-> A_cf(0, 0) le :: [A_cf(0, 0) x A_cf(0, 0)] -(0)-> A_cf(0, 0) le :: [A_cf(0, 0) x A_cf(0, 0)] -(0)-> A_cf(1, 1) le :: [A_cf(0, 0) x A_cf(0, 0)] -(1)-> A_cf(1, 1) minus :: [A_cf(5, 0) x A_cf(0, 0)] -(1)-> A_cf(0, 0) minus :: [A_cf(0, 0) x A_cf(0, 0)] -(0)-> A_cf(0, 0) minus :: [A_cf(2, 0) x A_cf(0, 0)] -(1)-> A_cf(2, 0) s :: [A_cf(0, 0)] -(0)-> A_cf(0, 0) s :: [A_cf(5, 0)] -(5)-> A_cf(5, 0) s :: [A_cf(2, 0)] -(2)-> A_cf(2, 0) s :: [A_cf(1, 0)] -(1)-> A_cf(1, 0) true :: [] -(0)-> A_cf(0, 0) true :: [] -(0)-> A_cf(1, 1)