code: 
  def 		UpperCamelCase    (					_UpperCAmelCase     :      Optional[int]     )      -> Union[str, Any]:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						if not isinstance(lowercase_   , lowercase_     ):
  												raise ValueError("Input series is not valid, valid series - [2, 4, 8]"     )
  						if len(lowercase_     ) == 0:
  												raise ValueError("Input list must be a non empty list"     )
  						if len(lowercase_     ) == 1:
  												return True
  						try:
  												_lowercase					:  Optional[int]    			=      series[1] / series[0]
  												for index in range(len(lowercase_     ) - 1     ):
  																		if series[index + 1] / series[index] != common_ratio:
  																								return False
  						except ZeroDivisionError:
  												return False
  						return True
  
  
  
  def 		UpperCamelCase    (					_UpperCAmelCase     :      int     )      -> int:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						if not isinstance(lowercase_   , lowercase_     ):
  												raise ValueError("Input series is not valid, valid series - [2, 4, 8]"     )
  						if len(lowercase_     ) == 0:
  												raise ValueError("Input list must be a non empty list"     )
  						_lowercase					:  Optional[Any]    			=      1
  						for value in series:
  												answer *= value
  						return pow(lowercase_   , 1 / len(lowercase_     )     )
  
  
  if __name__ == "__main__":
  							import doctest
  
  							doctest.testmod()
  
  
  
  
  
  
  
style_context: 
  import os
  
  
  
  def 		UpperCamelCase    (					)      -> Optional[int]:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						_lowercase					:  Tuple    			=      0
  						_lowercase					:  List[Any]    			=      0
  						with open(os.path.dirname(_UpperCAmelCase     ) + "/p022_names.txt"     ) as file:
  												_lowercase					:  Any    			=      str(file.readlines()[0]     )
  												_lowercase					:  int    			=      name.replace("\""   , ""     ).split(","     )
  
  						name.sort()
  						for i in range(len(_UpperCAmelCase     )     ):
  												for j in name[i]:
  																		temp_sum += ord(_UpperCAmelCase     ) - ord("A"     ) + 1
  												total_sum += (i + 1) * temp_sum
  												_lowercase					:  Tuple    			=      0
  						return total_sum
  
  
  if __name__ == "__main__":
  							print(solution())
  
  
  
  
  