

def 	snake_case_      (__A     :						list     )			->	bool:
   if not isinstance(__A					,   __A     ):
      raise ValueError("""Input series is not valid, valid series - [2, 4, 8]"""     )
   if len(__A     ) == 0:
      raise ValueError("""Input list must be a non empty list"""     )
   if len(__A     ) == 1:
      return True
   try:
      __lowerCAmelCase  :			Dict					    =						series[1] / series[0]
      for index in range(len(__A     ) - 1     ):
         if series[index + 1] / series[index] != common_ratio:
            return False
   except ZeroDivisionError:
      return False
   return True





def 	snake_case_      (__A     :						list     )			->	float:
   if not isinstance(__A					,   __A     ):
      raise ValueError("""Input series is not valid, valid series - [2, 4, 8]"""     )
   if len(__A     ) == 0:
      raise ValueError("""Input list must be a non empty list"""     )
   __lowerCAmelCase  :			str					    =						1
   for value in series:
      answer *= value
   return pow(__A					,   1 / len(__A     )     )


if __name__ == "__main__":
   import doctest

   doctest.testmod()








'''simple docstring'''



import warnings

from ...utils import logging
from .image_processing_detr import DetrImageProcessor


UpperCAmelCase_				:     Dict     			=						logging.get_logger(__name__)





class 			lowerCAmelCase      (       __lowerCAmelCase):


       def __init__(      self			,     *__SCREAMING_SNAKE_CASE			,     **__SCREAMING_SNAKE_CASE     )					->     None:



            '''simple docstring'''




            warnings.warn(
                '''The class DetrFeatureExtractor is deprecated and will be removed in version 5 of Transformers.'''
                ''' Please use DetrImageProcessor instead.'''			,     __SCREAMING_SNAKE_CASE			,     )
            super().__init__(*__SCREAMING_SNAKE_CASE			,     **__SCREAMING_SNAKE_CASE     )






