Created
May 27, 2018 20:48
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count number of item combinations
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| import functools | |
| MENU = ( | |
| ('cake', 99), | |
| ('cupcake', 20), | |
| ('donut', 10), | |
| ('muffin', 25), | |
| ('cookie', 5) | |
| ) | |
| PRICE = 1035 | |
| @functools.lru_cache(maxsize=None) | |
| def combinations(menu, remaining): | |
| if not menu: | |
| if remaining == 0: | |
| return 1 | |
| else: | |
| return 0 | |
| cur_price = menu[0][1] | |
| return sum(combinations(menu[1:], | |
| remaining - num_cur * cur_price) | |
| for num_cur in range(remaining // cur_price + 1)) | |
| print("{} combinations".format(combinations(MENU, PRICE))) |
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