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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

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 n_term

series = []

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))

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