


'''simple docstring'''

def lowerCamelCase      (      lowerCAmelCase    :     int = 6008_5147_5143		):





	"""simple docstring"""







	try:
		__magic_name__	:   Optional[int]					     =					int(lowerCAmelCase		)
	except (TypeError, ValueError):
		raise TypeError('Parameter n must be int or castable to int.'		)
	if n <= 0:
		raise ValueError('Parameter n must be greater than or equal to one.'		)
	__magic_name__	:   Dict					     =					2
	__magic_name__	:   int					     =					0
	if n == 2:
		return 2
	while n > 2:
		while n % i != 0:
			i += 1
		__magic_name__	:   List[str]					     =					i
		while n % i == 0:
			__magic_name__	:   str					     =					n // i
		i += 1
	return int(lowerCAmelCase		)


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



'''simple docstring'''

import math





def lowerCamelCase      (      lowerCAmelCase    :     float		,		lowerCAmelCase    :     float		):





	"""simple docstring"""







	return math.pow(lowerCAmelCase		,		2		) - a





def lowerCamelCase      (      lowerCAmelCase    :     float		):





	"""simple docstring"""







	return 2 * x





def lowerCamelCase      (      lowerCAmelCase    :     float		):





	"""simple docstring"""







	__magic_name__	:   List[Any]					     =					2.0

	while start <= a:
		__magic_name__	:   List[str]					     =					math.pow(lowerCAmelCase		,		2		)

	return start





def lowerCamelCase      (      lowerCAmelCase    :     float		,		lowerCAmelCase    :     int = 9999		,		lowerCAmelCase    :     float = 0.00_0000_0000_0001		):





	"""simple docstring"""







	if a < 0:
		raise ValueError('math domain error'		)

	__magic_name__	:   Any					     =					get_initial_point(lowerCAmelCase		)

	for _ in range(lowerCAmelCase		):
		__magic_name__	:   List[str]					     =					value
		__magic_name__	:   Optional[int]					     =					value - fx(lowerCAmelCase		,		lowerCAmelCase		) / fx_derivative(lowerCAmelCase		)
		if abs(prev_value - value		) < tolerance:
			return value

	return value


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

							testmod()