




"""simple docstring"""


from __future__ import annotations

from collections.abc import Generator






def    a__   (   )     ->     Union[str, Any]:
		__lowerCAmelCase:	List[str]   				=      {}
		__lowerCAmelCase:	List[str]   				=      2
		while True:
				__lowerCAmelCase:	Optional[Any]   				=      factor_map.pop(lowerCAmelCase__ ,			lowerCAmelCase__			)
				if factor:
						__lowerCAmelCase:	Dict   				=      factor + prime
						while x in factor_map:
								x += factor
						__lowerCAmelCase:	List[str]   				=      factor
				else:
						__lowerCAmelCase:	Union[str, Any]   				=      prime
						yield prime
				prime += 1






def    a__   (   __SCREAMING_SNAKE_CASE = 1E1_0			)     ->     Dict:
		__lowerCAmelCase:	int   				=      sieve()

		__lowerCAmelCase:	int   				=      1
		while True:
				__lowerCAmelCase:	List[str]   				=      next(lowerCAmelCase__			)
				if (2 * prime * n) > limit:
						return n
				# Ignore the next prime as the reminder will be 2.
				next(lowerCAmelCase__			)
				n += 2


if __name__ == "__main__":
			print(solution())





"""simple docstring"""


import numpy as np






def    a__   (   __SCREAMING_SNAKE_CASE			)     ->     np.array:
		return (2 / (1 + np.exp(-2 * vector			))) - 1


if __name__ == "__main__":
			import doctest

			doctest.testmod()


