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maths/series/harmonic_series.py
46 строк
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imp
[mypy] Fix type annotations for maths (#4617)
18 авг 2021, 13:45
Не верифицирован
18 авг 2021, 13:45
af0810f
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""" This is a pure Python implementation of the Harmonic Series algorithm https://en.wikipedia.org/wiki/Harmonic_series_(mathematics) For doctests run following command: python -m doctest -v harmonic_series.py or python3 -m doctest -v harmonic_series.py For manual testing run: python3 harmonic_series.py """ def harmonic_series(n_term: str) -> list: """Pure Python implementation of Harmonic Series algorithm :param n_term: The last (nth) term of Harmonic Series :return: The Harmonic Series starting from 1 to last (nth) term Examples: >>> harmonic_series(5) ['1', '1/2', '1/3', '1/4', '1/5'] >>> harmonic_series(5.0) ['1', '1/2', '1/3', '1/4', '1/5'] >>> harmonic_series(5.1) ['1', '1/2', '1/3', '1/4', '1/5'] >>> harmonic_series(-5) [] >>> harmonic_series(0) [] >>> harmonic_series(1) ['1'] """ if n_term == "": return [] series: list = [] for temp in range(int(n_term)): series.append(f"1/{temp + 1}" if series else "1") return series if __name__ == "__main__": nth_term = input("Enter the last number (nth term) of the Harmonic Series") print("Formula of Harmonic Series => 1+1/2+1/3 ..... 1/n") print(harmonic_series(nth_term))