diff --git a/Sprint-2/improve_with_caches/fibonacci/fibonacci.py b/Sprint-2/improve_with_caches/fibonacci/fibonacci.py index 60cc667..746c38f 100644 --- a/Sprint-2/improve_with_caches/fibonacci/fibonacci.py +++ b/Sprint-2/improve_with_caches/fibonacci/fibonacci.py @@ -1,4 +1,11 @@ +cache = {} + + def fibonacci(n): if n <= 1: return n - return fibonacci(n - 1) + fibonacci(n - 2) + if n not in cache: + cache[n] = fibonacci(n - 1) + fibonacci(n - 2) + return cache[n] + else: + return cache[n] diff --git a/Sprint-2/improve_with_caches/making_change/making_change.py b/Sprint-2/improve_with_caches/making_change/making_change.py index 255612e..1a36c8b 100644 --- a/Sprint-2/improve_with_caches/making_change/making_change.py +++ b/Sprint-2/improve_with_caches/making_change/making_change.py @@ -10,6 +10,9 @@ def ways_to_make_change(total: int) -> int: return ways_to_make_change_helper(total, [200, 100, 50, 20, 10, 5, 2, 1]) +cache = {} + + def ways_to_make_change_helper(total: int, coins: List[int]) -> int: """ Helper function for ways_to_make_change to avoid exposing the coins parameter to callers. @@ -26,7 +29,14 @@ def ways_to_make_change_helper(total: int, coins: List[int]) -> int: if total_from_coins == total: ways += 1 else: - intermediate = ways_to_make_change_helper(total - total_from_coins, coins=coins[coin_index+1:]) + key = (total - total_from_coins, tuple(coins[coin_index + 1 :])) + if key not in cache: + cache[key] = ways_to_make_change_helper( + total - total_from_coins, coins=coins[coin_index + 1 :] + ) + intermediate = cache[key] + else: + intermediate = cache[key] ways += intermediate count_of_coin += 1 return ways