
"""simple docstring"""






import numpy as np





def __A						(   a_ :							np.array     )->							np.array:




		'''simple docstring'''






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


if __name__ == "__main__":
					import doctest

					doctest.testmod()







"""simple docstring"""






import math





def __A						(   a_ :							list		,		a_ :							int     )->							int:




		'''simple docstring'''






		SCREAMING_SNAKE_CASE       :     Optional[int]				= len(a_     )
		SCREAMING_SNAKE_CASE       :     Optional[Any]				= int(math.floor(math.sqrt(a_     )     )     )
		SCREAMING_SNAKE_CASE       :     List[str]				= 0
		while arr[min(a_		,		a_     ) - 1] < x:
				SCREAMING_SNAKE_CASE       :     Optional[Any]				= step
				step += int(math.floor(math.sqrt(a_     )     )     )
				if prev >= n:
						return -1

		while arr[prev] < x:
				SCREAMING_SNAKE_CASE       :     Any				= prev + 1
				if prev == min(a_		,		a_     ):
						return -1
		if arr[prev] == x:
				return prev
		return -1


if __name__ == "__main__":
					lowerCamelCase__ :       Union[str, Any]						     =			input("Enter numbers separated by a comma:\n").strip()
					lowerCamelCase__ :       List[str]						     =			[int(item) for item in user_input.split(",")]
					lowerCamelCase__ :       Dict						     =			int(input("Enter the number to be searched:\n"))
					lowerCamelCase__ :       Tuple						     =			jump_search(arr, x)
					if res == -1:
										print("Number not found!")
					else:
										print(f'''Number {x} is at index {res}''')





