



def      UpperCamelCase(    __UpperCamelCase				:						str	,__UpperCamelCase				:						str					):
		assert x is not None
		assert y is not None

		lowerCAmelCase_     :	List[str]							   =					len(UpperCamelCase__					)
		lowerCAmelCase_     :	Optional[Any]							   =					len(UpperCamelCase__					)

		# declaring the array for storing the dp values
		lowerCAmelCase_     :	int							   =					[[0] * (n + 1) for _ in range(m + 1					)]  # noqa: E741

		for i in range(1	,m + 1					):
				for j in range(1	,n + 1					):
						lowerCAmelCase_     :	Tuple							   =					1 if x[i - 1] == y[j - 1] else 0

						lowerCAmelCase_     :	Tuple							   =					max(l[i - 1][j]	,l[i][j - 1]	,l[i - 1][j - 1] + match					)

		lowerCAmelCase_     :	Dict							   =					''''''
		lowerCAmelCase_   ,    lowerCAmelCase_     :	List[Any]							   =					m, n
		while i > 0 and j > 0:
				lowerCAmelCase_     :	Optional[int]							   =					1 if x[i - 1] == y[j - 1] else 0

				if l[i][j] == l[i - 1][j - 1] + match:
						if match == 1:
								lowerCAmelCase_     :	int							   =					x[i - 1] + seq
						i -= 1
						j -= 1
				elif l[i][j] == l[i - 1][j]:
						i -= 1
				else:
						j -= 1

		return l[m][n], seq


if __name__ == "__main__":
						A__    :    Optional[int]        =   "AGGTAB"
						A__    :    Dict        =   "GXTXAYB"
						A__    :    int        =   4
						A__    :    List[Any]        =   "GTAB"

						A__    :    List[str]        =   longest_common_subsequence(a, b)
						print('''len =''', ln, ''', sub-sequence =''', subseq)
						import doctest

						doctest.testmod()






'''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()
