

import numpy as np

def 						UpperCamelCase					(lowercase_: np.ndarray					)     ->      np.ndarray:
	return 1 / (1 + np.exp(-vector					))

def 						UpperCamelCase					(lowercase_: np.ndarray					)     ->      np.ndarray:
	return vector * sigmoid(lowercase_					)


if __name__ == "__main__":
	import doctest

	doctest.testmod()






def 						UpperCamelCase					(lowercase_: int = 10					)     ->      str:
	if not isinstance(lowercase_    ,      lowercase_					) or n < 0:
		raise ValueError("""Invalid input"""					)
	A__							:    List[str]        =		10**n
	A__							:    Any        =		28433 * (pow(2    ,      7830457    ,      lowercase_					)) + 1
	return str(number % modulus					)


if __name__ == "__main__":
	from doctest import testmod

	testmod()
	print(f'''{solution(10) = }''')



