






"""simple docstring"""
def 			__UpperCamelCase	(		snake_case__   ,   snake_case__					):
	_validate_point(snake_case__					)
	_validate_point(snake_case__					)
	if len(snake_case__					) != len(snake_case__					):
		raise ValueError("""Both points must be in the same n-dimensional space"""					)

	return float(sum(abs(a - b					) for a, b in zip(snake_case__   ,   snake_case__					)					)					)






def 			__UpperCamelCase	(		snake_case__					):
	if point:
		if isinstance(snake_case__   ,   snake_case__					):
			for item in point:
				if not isinstance(snake_case__   ,   (int, float)					):
					A_		:						Optional[int]	    =   (
					    """Expected a list of numbers as input, found """
					    F"""{type(snake_case__					).__name__}"""
					)
					raise TypeError(snake_case__					)
		else:
			A_		:						Any	    =   F"""Expected a list of numbers as input, found {type(snake_case__					).__name__}"""
			raise TypeError(snake_case__					)
	else:
		raise ValueError("""Missing an input"""					)






def 			__UpperCamelCase	(		snake_case__   ,   snake_case__					):
	_validate_point(snake_case__					)
	_validate_point(snake_case__					)
	if len(snake_case__					) != len(snake_case__					):
		raise ValueError("""Both points must be in the same n-dimensional space"""					)

	return float(sum(abs(x - y					) for x, y in zip(snake_case__   ,   snake_case__					)					)					)


if __name__ == "__main__":
							import doctest

							doctest.testmod()









"""simple docstring"""
import math






def 			__UpperCamelCase	(		snake_case__   ,   snake_case__					):
	if (
	    not isinstance(snake_case__   ,   (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 			__UpperCamelCase	(		snake_case__   ,   snake_case__					):
	if (
	    not isinstance(snake_case__   ,   (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()

