




from ..utils import DummyObject, requires_backends

class 			_lowerCamelCase    (      metaclass=_SCREAMING_SNAKE_CASE ):

      """simple docstring"""

      lowerCAmelCase__      :			Any     =       ["torch", "transformers", "invisible_watermark"]







      def __init__(  self       :			List[Any]			,							*snake_case       :			Union[str, Any]			,							**snake_case       :			Any					):
          requires_backends(self			,							['''torch''', '''transformers''', '''invisible_watermark''']					)







      @classmethod
      def    snake_case						(  cls       :			Union[str, Any]			,							*snake_case       :			int			,							**snake_case       :			Optional[int]					):
          requires_backends(cls			,							['''torch''', '''transformers''', '''invisible_watermark''']					)







      @classmethod
      def    snake_case						(  cls       :			List[Any]			,							*snake_case       :			List[str]			,							**snake_case       :			List[Any]					):
          requires_backends(cls			,							['''torch''', '''transformers''', '''invisible_watermark''']					)







class 			_lowerCamelCase    (      metaclass=_SCREAMING_SNAKE_CASE ):

      """simple docstring"""

      lowerCAmelCase__      :			Union[str, Any]     =       ["torch", "transformers", "invisible_watermark"]







      def __init__(  self       :			Any			,							*snake_case       :			Tuple			,							**snake_case       :			str					):
          requires_backends(self			,							['''torch''', '''transformers''', '''invisible_watermark''']					)







      @classmethod
      def    snake_case						(  cls       :			Any			,							*snake_case       :			Optional[int]			,							**snake_case       :			Dict					):
          requires_backends(cls			,							['''torch''', '''transformers''', '''invisible_watermark''']					)







      @classmethod
      def    snake_case						(  cls       :			Optional[Any]			,							*snake_case       :			Optional[int]			,							**snake_case       :			Optional[Any]					):
          requires_backends(cls			,							['''torch''', '''transformers''', '''invisible_watermark''']					)













from __future__ import annotations

def      a    (   _lowercase :  float | int			,    _lowercase :  float | int			,    _lowercase :  float | int			,    )  ->list[float | int]:
		if not all((nth_term, start_term_a, common_ratio_r)							):
				return []
		UpperCamelCase__								=						[]
		UpperCamelCase__								=						1
		UpperCamelCase__								=						common_ratio_r
		for _ in range(int(_lowercase							)							):
				if not series:
						series.append(_lowercase							)
				else:
						power += 1
						series.append(float(start_term_a * multiple							)							)
						UpperCamelCase__								=						pow(float(_lowercase							)			,    _lowercase							)
		return series


if __name__ == "__main__":
				import doctest

				doctest.testmod()

				__lowerCAmelCase 	=      float(input("Enter the last number (n term) of the Geometric Series"))
				__lowerCAmelCase 	=      float(input("Enter the starting term (a) of the Geometric Series"))
				__lowerCAmelCase 	=      float(
				    input("Enter the common ratio between two terms (r) of the Geometric Series")
				)
				print("Formula of Geometric Series => a + ar + ar^2 ... +ar^n")
				print(geometric_series(nth_term, start_term_a, common_ratio_r))





