diff --git a/Sprint-2/improve_with_caches/fibonacci/fibonacci.py b/Sprint-2/improve_with_caches/fibonacci/fibonacci.py index 60cc667..ccceec1 100644 --- a/Sprint-2/improve_with_caches/fibonacci/fibonacci.py +++ b/Sprint-2/improve_with_caches/fibonacci/fibonacci.py @@ -1,4 +1,13 @@ +cache = {} + def fibonacci(n): + if n in cache: + return cache[n] + if n <= 1: - return n - return fibonacci(n - 1) + fibonacci(n - 2) + result = n + else: + result = fibonacci(n - 1) + fibonacci(n - 2) + + cache[n] = result + return result 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..f2de728 100644 --- a/Sprint-2/improve_with_caches/making_change/making_change.py +++ b/Sprint-2/improve_with_caches/making_change/making_change.py @@ -7,16 +7,24 @@ def ways_to_make_change(total: int) -> int: For instance, there are two ways to make a value of 3: with 3x 1 coins, or with 1x 1 coin and 1x 2 coin. """ - return ways_to_make_change_helper(total, [200, 100, 50, 20, 10, 5, 2, 1]) + # Cache to store computed results + cache = {} + 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: +def ways_to_make_change_helper(total: int, coins: List[int], cache: dict) -> int: """ Helper function for ways_to_make_change to avoid exposing the coins parameter to callers. """ if total == 0 or len(coins) == 0: return 0 + # Create cache key from current state + cache_key = (total, tuple(coins)) + + if cache_key in cache: + return cache[cache_key] + ways = 0 for coin_index in range(len(coins)): coin = coins[coin_index] @@ -26,7 +34,10 @@ 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:]) + intermediate = ways_to_make_change_helper(total - total_from_coins, coins=coins[coin_index+1:], cache=cache) ways += intermediate count_of_coin += 1 + + # Store result in cache + cache[cache_key] = ways return ways