import math
from decimal import Decimal, getcontext

def     lowercase_       (    _lowerCamelCase							: int = 400_0000):

    try:
        lowercase__				:     str					      =       int(_lowerCamelCase)
    except (TypeError, ValueError):
        raise TypeError("Parameter n must be int or castable to int.")
    if n <= 0:
        raise ValueError("Parameter n must be greater than or equal to one.")
    lowercase__				:     Dict					      =       100
    lowercase__				:     Tuple					      =       (Decimal(5) ** Decimal(0.5) + 1) / Decimal(2)

    lowercase__				:     Dict					      =       (math.floor(math.log(n * (phi + 2)	,			_lowerCamelCase) - 1) // 3) * 3 + 2
    lowercase__				:     Tuple					      =       Decimal(round(phi ** Decimal(index + 1))) / (phi + 2)
    lowercase__				:     Optional[Any]					      =       num // 2
    return int(_lowerCamelCase)


if __name__ == "__main__":
      print(f"{solution() = }")




from typing import Callable

def     lowercase_       (    _lowerCamelCase							: Callable):

    def wrapper(_lowerCamelCase							: str):
        lowercase__				:     Tuple					      =       function_with_docstring.__doc__
        return target_function

    return wrapper



