



import math
from decimal import Decimal, getcontext

def 			lowerCAmelCase_  (						_lowercase       :     int = 400_0000)							-> int:







			"""simple docstring"""

			try:
						a__     :		Dict		 =						int(_lowercase)
			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.""")
			a__     :		Optional[int]		 =						100
			a__     :		Tuple		 =						(Decimal(5) ** Decimal(0.5) + 1) / Decimal(2)

			a__     :		List[str]		 =						(math.floor(math.log(n * (phi + 2)		,     _lowercase) - 1) // 3) * 3 + 2
			a__     :		List[Any]		 =						Decimal(round(phi ** Decimal(index + 1))) / (phi + 2)
			a__     :		Optional[int]		 =						num // 2
			return int(_lowercase)


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









from __future__ import annotations

def 			lowerCAmelCase_  (						_lowercase       :     list[int]		,     _lowercase       :     int)							-> list[int]:







			"""simple docstring"""
			a__     :		dict[int, int]		 =						{}
			for index, val in enumerate(_lowercase):
						a__     :		str		 =						target - val
						if compl in chk_map:
									return [chk_map[compl], index]
						a__     :		str		 =						index
			return []


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		print(f'{two_sum([2, 7, 11, 15], 9) = }')




