From 4fb5c721cd0605a777e78541ea3f9c6b2ed2f727 Mon Sep 17 00:00:00 2001 From: Droid-An Date: Mon, 13 Oct 2025 17:12:36 +0100 Subject: [PATCH 1/3] improved fibonacci --- Sprint-2/improve_with_caches/fibonacci/fibonacci.py | 9 ++++++++- 1 file changed, 8 insertions(+), 1 deletion(-) 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] From d66ee9b5cf9080fdf7a52da3e199f47f157583c3 Mon Sep 17 00:00:00 2001 From: Droid-An Date: Mon, 13 Oct 2025 17:16:16 +0100 Subject: [PATCH 2/3] improved making change with cache --- Sprint-2/improve_with_caches/making_change/making_change.py | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) 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..a941cb1 100644 --- a/Sprint-2/improve_with_caches/making_change/making_change.py +++ b/Sprint-2/improve_with_caches/making_change/making_change.py @@ -26,7 +26,9 @@ 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 :] + ) ways += intermediate count_of_coin += 1 return ways From 9561f642e0e8f4a7da48e10328c8b1e2685e866e Mon Sep 17 00:00:00 2001 From: Droid-An Date: Mon, 13 Oct 2025 17:17:59 +0100 Subject: [PATCH 3/3] actually done making change improvement --- .../making_change/making_change.py | 14 +++++++++++--- 1 file changed, 11 insertions(+), 3 deletions(-) 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 a941cb1..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. @@ -26,9 +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