





import numpy as np





def      lowerCAmelCase_ (       __a		)     ->		np.array:







  """simple docstring"""





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





def      lowerCAmelCase_ (       __a		)     ->		np.array:







  """simple docstring"""





  return vector * sigmoid(1.7_0_2 * vector		)


if __name__ == "__main__":
     import doctest

     doctest.testmod()




from __future__ import annotations






def        UpperCamelCase_(							_snake_case   :  int	):




			"""simple docstring"""






			__a        =str(_snake_case	)
			return len(_snake_case	) == 9 and set(_snake_case	) == set('123456789'	)






def        UpperCamelCase_(							):




			"""simple docstring"""






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

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

			return None


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






