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maths/sylvester_sequence.py
44 строки
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Christian Clauss
Add more ruff rules (#8767)
26 май 2023, 10:34
Не верифицирован
26 май 2023, 10:34
4b79d77
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""" Calculates the nth number in Sylvester's sequence Source: https://en.wikipedia.org/wiki/Sylvester%27s_sequence """ def sylvester(number: int) -> int: """ :param number: nth number to calculate in the sequence :return: the nth number in Sylvester's sequence >>> sylvester(8) 113423713055421844361000443 >>> sylvester(-1) Traceback (most recent call last): ... ValueError: The input value of [n=-1] has to be > 0 >>> sylvester(8.0) Traceback (most recent call last): ... AssertionError: The input value of [n=8.0] is not an integer """ assert isinstance(number, int), f"The input value of [n={number}] is not an integer" if number == 1: return 2 elif number < 1: msg = f"The input value of [n={number}] has to be > 0" raise ValueError(msg) else: num = sylvester(number - 1) lower = num - 1 upper = num return lower * upper + 1 if __name__ == "__main__": print(f"The 8th number in Sylvester's sequence: {sylvester(8)}")