



def      UpperCamelCase(    __UpperCamelCase				:						int = 10					):
		if not isinstance(UpperCamelCase__	,UpperCamelCase__					) or n < 0:
				raise ValueError('''Invalid input'''					)
		lowerCAmelCase_     :	Optional[Any]							   =					10**n
		lowerCAmelCase_     :	Union[str, Any]							   =					28433 * (pow(2	,7830457	,UpperCamelCase__					)) + 1
		return str(number % modulus					)


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

						testmod()
						print(F'''{solution(10) = }''')






'''simple docstring'''


import math





def    lowerCAmelCase       (		UpperCamelCase__					: float     ,       UpperCamelCase__					: float							):


	"""simple docstring"""
	if (
	    not isinstance(UpperCamelCase__     ,       (int, float)							)
	    or power_factor < -1
	    or power_factor > 1
	):
		raise ValueError('''power_factor must be a valid float value between -1 and 1.'''							)
	return apparent_power * power_factor





def    lowerCAmelCase       (		UpperCamelCase__					: float     ,       UpperCamelCase__					: float							):


	"""simple docstring"""
	if (
	    not isinstance(UpperCamelCase__     ,       (int, float)							)
	    or power_factor < -1
	    or power_factor > 1
	):
		raise ValueError('''power_factor must be a valid float value between -1 and 1.'''							)
	return apparent_power * math.sqrt(1 - power_factor**2							)


if __name__ == "__main__":
					import doctest

					doctest.testmod()
