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maths/special_numbers/triangular_numbers.py
43 строки
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Tauseef Hilal Tantary
[New Algorithm] - Triangular Numbers (#10663)
23 окт 2023, 16:51
Не верифицирован
23 окт 2023, 16:51
4cbefad
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""" A triangular number or triangle number counts objects arranged in an equilateral triangle. This module provides a function to generate n'th triangular number. For more information about triangular numbers, refer to: https://en.wikipedia.org/wiki/Triangular_number """ def triangular_number(position: int) -> int: """ Generate the triangular number at the specified position. Args: position (int): The position of the triangular number to generate. Returns: int: The triangular number at the specified position. Raises: ValueError: If `position` is negative. Examples: >>> triangular_number(1) 1 >>> triangular_number(3) 6 >>> triangular_number(-1) Traceback (most recent call last): ... ValueError: param `position` must be non-negative """ if position < 0: raise ValueError("param `position` must be non-negative") return position * (position + 1) // 2 if __name__ == "__main__": import doctest doctest.testmod()