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4700297b3e
* Enable ruff RUF002 rule * Fix --------- Co-authored-by: Christian Clauss <cclauss@me.com>
66 lines
1.4 KiB
Python
66 lines
1.4 KiB
Python
"""
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Coin sums
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Problem 31: https://projecteuler.net/problem=31
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In England the currency is made up of pound, f, and pence, p, and there are
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eight coins in general circulation:
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1p, 2p, 5p, 10p, 20p, 50p, f1 (100p) and f2 (200p).
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It is possible to make f2 in the following way:
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1xf1 + 1x50p + 2x20p + 1x5p + 1x2p + 3x1p
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How many different ways can f2 be made using any number of coins?
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"""
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def one_pence() -> int:
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return 1
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def two_pence(x: int) -> int:
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return 0 if x < 0 else two_pence(x - 2) + one_pence()
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def five_pence(x: int) -> int:
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return 0 if x < 0 else five_pence(x - 5) + two_pence(x)
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def ten_pence(x: int) -> int:
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return 0 if x < 0 else ten_pence(x - 10) + five_pence(x)
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def twenty_pence(x: int) -> int:
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return 0 if x < 0 else twenty_pence(x - 20) + ten_pence(x)
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def fifty_pence(x: int) -> int:
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return 0 if x < 0 else fifty_pence(x - 50) + twenty_pence(x)
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def one_pound(x: int) -> int:
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return 0 if x < 0 else one_pound(x - 100) + fifty_pence(x)
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def two_pound(x: int) -> int:
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return 0 if x < 0 else two_pound(x - 200) + one_pound(x)
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def solution(n: int = 200) -> int:
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"""Returns the number of different ways can n pence be made using any number of
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coins?
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>>> solution(500)
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6295434
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>>> solution(200)
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73682
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>>> solution(50)
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451
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>>> solution(10)
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11
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"""
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return two_pound(n)
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if __name__ == "__main__":
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print(solution(int(input().strip())))
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