This is a pure Python implementation of the PSeries algorithm https:en.wikipedia.orgwikiHarmonicseriesmathematicsPseries For doctests run following command: python m doctest v pseries.py or python3 m doctest v pseries.py For manual testing run: python3 pseries.py Pure Python implementation of PSeries algorithm :return: The PSeries starting from 1 to last nth term Examples:  pseries5, 2 '1', '1  4', '1  9', '1  16', '1  25'  pseries5, 2   pseries5, 2 '1', '1  0.25', '1  0.1111111111111111', '1  0.0625', '1  0.04'  pseries, 1000 ''  pseries0, 0   pseries1, 1 '1'
from __future__ import annotations


def p_series(nth_term: float | str, power: float | str) -> list[str]:
    """
    Pure Python implementation of P-Series algorithm
    :return: The P-Series starting from 1 to last (nth) term
    Examples:
    >>> p_series(5, 2)
    ['1', '1 / 4', '1 / 9', '1 / 16', '1 / 25']
    >>> p_series(-5, 2)
    []
    >>> p_series(5, -2)
    ['1', '1 / 0.25', '1 / 0.1111111111111111', '1 / 0.0625', '1 / 0.04']
    >>> p_series("", 1000)
    ['']
    >>> p_series(0, 0)
    []
    >>> p_series(1, 1)
    ['1']
    """
    if nth_term == "":
        return [""]
    nth_term = int(nth_term)
    power = int(power)
    series: list[str] = []
    for temp in range(int(nth_term)):
        series.append(f"1 / {pow(temp + 1, int(power))}" if series else "1")
    return series


if __name__ == "__main__":
    import doctest

    doctest.testmod()

    nth_term = int(input("Enter the last number (nth term) of the P-Series"))
    power = int(input("Enter the power for  P-Series"))
    print("Formula of P-Series => 1+1/2^p+1/3^p ..... 1/n^p")
    print(p_series(nth_term, power))
