






"""simple docstring"""







from __future__ import annotations





def 						lowercase__(A					,		A						)				->list[int]:




						"""simple docstring"""



						lowercase__				:      dict[int, int]=       {}
						for index, val in enumerate(A						):
												lowercase__				:      List[str]=       target - val
												if compl in chk_map:
																		return [chk_map[compl], index]
												lowercase__				:      Optional[int]=       index
						return []


if __name__ == "__main__":
			import doctest

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














"""simple docstring"""







import math
from decimal import Decimal, getcontext





def 						lowercase__(A = 4_000_000						)				->int:




						"""simple docstring"""



						try:
												lowercase__				:      int=       int(A						)
						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__				:      Optional[Any]=       (Decimal(5						) ** Decimal(0.5						) + 1) / Decimal(2						)

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


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






