

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()





from math import sqrt





def 	snake_case_      (__A     :						int     )			->	list[int]:
   __lowerCAmelCase  :			List[str]					    =						[1]
   for i in range(2					,   int(sqrt(__A     )     ) + 1					,   1     ):
      if number % i == 0:
         values.append(__A     )
         if int(number // i     ) != i:
            values.append(int(number // i     )     )
   return sorted(__A     )





def 	snake_case_      (__A     :						int     )			->	bool:
   return sum(factors(__A     )     ) > n





def 	snake_case_      (__A     :						int     )			->	bool:
   __lowerCAmelCase  :			Any					    =						factors(__A     )
   __lowerCAmelCase  :			Union[str, Any]					    =						len(__A     )
   __lowerCAmelCase  :			str					    =						[[0 for i in range(number + 1     )] for j in range(r + 1     )]
   for i in range(r + 1     ):
      __lowerCAmelCase  :			Tuple					    =						True

   for i in range(1					,   number + 1     ):
      __lowerCAmelCase  :			List[str]					    =						False

   for i in range(1					,   r + 1     ):
      for j in range(1					,   number + 1     ):
         if j < values[i - 1]:
            __lowerCAmelCase  :			Dict					    =						subset[i - 1][j]
         else:
            __lowerCAmelCase  :			Dict					    =						subset[i - 1][j] or subset[i - 1][j - values[i - 1]]

   return subset[r][number] != 0





def 	snake_case_      (__A     :						int     )			->	bool:
   return abundant(__A     ) and not semi_perfect(__A     )


if __name__ == "__main__":
   import doctest

   doctest.testmod(verbose=True)
   for number in (69, 70, 71):
      print(F'{number} is {"" if weird(number) else "not "}weird.')


