




'''simple docstring'''






import numpy as np


def  _snake_case       (					A	)						->   np.array:
							return 1 / (1 + np.exp(-vector	))


def  _snake_case       (					A	)						->   np.array:
							return vector * sigmoid(1.702 * vector	)


if __name__ == "__main__":
		import doctest

		doctest.testmod()



'''simple docstring'''






def  _snake_case       (					A = 10	)						->   str:
							if not isinstance(A			,   A	) or n < 0:
														raise ValueError('''Invalid input'''	)
							lowerCAmelCase__	       =     10**n
							lowerCAmelCase__	       =     28433 * (pow(2			,   7830457			,   A	)) + 1
							return str(number % modulus	)


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

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