diff --git a/Sprint-2/improve_with_caches/fibonacci/fibonacci.py b/Sprint-2/improve_with_caches/fibonacci/fibonacci.py index 60cc667..63016d7 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: + cache[n] = n return n - return fibonacci(n - 1) + fibonacci(n - 2) + + 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..2793536 100644 --- a/Sprint-2/improve_with_caches/making_change/making_change.py +++ b/Sprint-2/improve_with_caches/making_change/making_change.py @@ -1,19 +1,16 @@ from typing import List +cache = {} def ways_to_make_change(total: int) -> int: - """ - Given access to coins with the values 1, 2, 5, 10, 20, 50, 100, 200, returns a count of all of the ways to make the passed total value. - 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]) 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. - """ + key = (total, tuple(coins)) + + if total == 0 or len(coins) == 0: return 0 @@ -29,4 +26,7 @@ def ways_to_make_change_helper(total: int, coins: List[int]) -> int: intermediate = ways_to_make_change_helper(total - total_from_coins, coins=coins[coin_index+1:]) ways += intermediate count_of_coin += 1 + + cache[key] = ways + return ways