





def lowerCAmelCase__(__snake_case							)    ->				bool:







	'''simple docstring'''







	if not isinstance(__snake_case	,__snake_case							):
		raise ValueError('''Input series is not valid, valid series - [2, 4, 8]'''							)
	if len(__snake_case							) == 0:
		raise ValueError('''Input list must be a non empty list'''							)
	if len(__snake_case							) == 1:
		return True
	try:
		lowerCamelCase__        =		series[1] / series[0]
		for index in range(len(__snake_case							) - 1							):
			if series[index + 1] / series[index] != common_ratio:
				return False
	except ZeroDivisionError:
		return False
	return True





def lowerCAmelCase__(__snake_case							)    ->				float:







	'''simple docstring'''







	if not isinstance(__snake_case	,__snake_case							):
		raise ValueError('''Input series is not valid, valid series - [2, 4, 8]'''							)
	if len(__snake_case							) == 0:
		raise ValueError('''Input list must be a non empty list'''							)
	lowerCamelCase__        =		1
	for value in series:
		answer *= value
	return pow(__snake_case	,1 / len(__snake_case							)							)


if __name__ == "__main__":
			import doctest

			doctest.testmod()










import warnings

from .generation import FlaxGenerationMixin






class  __A   (   lowerCAmelCase			):

			'''simple docstring'''







			warnings.warn(
			    """Importing `FlaxGenerationMixin` from `src/transformers/generation_flax_utils.py` is deprecated and will """
			    """be removed in Transformers v5. Import as `from transformers import FlaxGenerationMixin` instead."""      ,    lowerCAmelCase      ,    )



