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52 lines
1.4 KiB
Python
52 lines
1.4 KiB
Python
"""
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This is a pure Python implementation of the P-Series algorithm
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https://en.wikipedia.org/wiki/Harmonic_series_(mathematics)#P-series
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For doctests run following command:
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python -m doctest -v p_series.py
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or
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python3 -m doctest -v p_series.py
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For manual testing run:
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python3 p_series.py
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"""
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from __future__ import annotations
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def p_series(nth_term: float | str, power: float | str) -> list[str]:
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"""
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Pure Python implementation of P-Series algorithm
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:return: The P-Series starting from 1 to last (nth) term
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Examples:
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>>> p_series(5, 2)
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['1', '1 / 4', '1 / 9', '1 / 16', '1 / 25']
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>>> p_series(-5, 2)
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[]
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>>> p_series(5, -2)
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['1', '1 / 0.25', '1 / 0.1111111111111111', '1 / 0.0625', '1 / 0.04']
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>>> p_series("", 1000)
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['']
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>>> p_series(0, 0)
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[]
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>>> p_series(1, 1)
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['1']
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"""
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if nth_term == "":
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return [""]
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nth_term = int(nth_term)
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power = int(power)
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series: list[str] = []
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for temp in range(int(nth_term)):
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series.append(f"1 / {pow(temp + 1, int(power))}" if series else "1")
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return series
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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nth_term = int(input("Enter the last number (nth term) of the P-Series"))
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power = int(input("Enter the power for P-Series"))
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print("Formula of P-Series => 1+1/2^p+1/3^p ..... 1/n^p")
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print(p_series(nth_term, power))
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