




import numpy as np


def 						lowerCamelCase__    (		_A							):







	'''simple docstring'''





	return 1 / (1 + np.exp(-vector							))


def 						lowerCamelCase__    (		_A							):







	'''simple docstring'''





	return vector * sigmoid(1.7_02 * vector							)


if __name__ == "__main__":
		import doctest

		doctest.testmod()






from __future__ import annotations


def 						lowerCamelCase__    (		_A							):







	'''simple docstring'''





	snake_case_		    =     str(_A							)
	return len(_A							) == 9 and set(_A							) == set("123456789"							)


def 						lowerCamelCase__    (		):







	'''simple docstring'''





	for base_num in range(9999     ,	4999     ,	-1							):
		snake_case_		    =     100002 * base_num
		if is_9_pandigital(_A							):
			return candidate

	for base_num in range(333     ,	99     ,	-1							):
		snake_case_		    =     1002003 * base_num
		if is_9_pandigital(_A							):
			return candidate

	return None


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