code: 
  
  
  
  
  from __future__ import annotations
  
  def lowercase						(     SCREAMING_SNAKE_CASE					,						SCREAMING_SNAKE_CASE					,						SCREAMING_SNAKE_CASE					,						) ->       list[float | int]:
  
  
  			'''simple docstring'''
  
  
  
  
  
  
  
  			if not all((nth_term, start_term_a, common_ratio_r)   ):
  						return []
  			SCREAMING_SNAKE_CASE_			=	[]
  			SCREAMING_SNAKE_CASE_			=	1
  			SCREAMING_SNAKE_CASE_			=	common_ratio_r
  			for _ in range(int(SCREAMING_SNAKE_CASE   )   ):
  						if not series:
  									series.append(SCREAMING_SNAKE_CASE   )
  						else:
  									power += 1
  									series.append(float(start_term_a * multiple   )   )
  									SCREAMING_SNAKE_CASE_			=	pow(float(SCREAMING_SNAKE_CASE   )					,						SCREAMING_SNAKE_CASE   )
  			return series
  
  
  if __name__ == "__main__":
  				import doctest
  
  				doctest.testmod()
  
  				SCREAMING_SNAKE_CASE__    :    Dict								=					float(input("Enter the last number (n term) of the Geometric Series"))
  				SCREAMING_SNAKE_CASE__    :    List[Any]								=					float(input("Enter the starting term (a) of the Geometric Series"))
  				SCREAMING_SNAKE_CASE__    :    Any								=					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))
  
style_context: 
  
  
  
  
  from typing import TYPE_CHECKING
  
  from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available
  
  
  SCREAMING_SNAKE_CASE__    :    List[Any]								=					{"configuration_detr": ["DETR_PRETRAINED_CONFIG_ARCHIVE_MAP", "DetrConfig", "DetrOnnxConfig"]}
  
  try:
  				if not is_vision_available():
  								raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
  				pass
  else:
  				SCREAMING_SNAKE_CASE__    :    int								=					["DetrFeatureExtractor"]
  				SCREAMING_SNAKE_CASE__    :    Any								=					["DetrImageProcessor"]
  
  try:
  				if not is_torch_available():
  								raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
  				pass
  else:
  				SCREAMING_SNAKE_CASE__    :    List[Any]								=					[
  				    "DETR_PRETRAINED_MODEL_ARCHIVE_LIST",
  				    "DetrForObjectDetection",
  				    "DetrForSegmentation",
  				    "DetrModel",
  				    "DetrPreTrainedModel",
  				]
  
  
  if TYPE_CHECKING:
  				from .configuration_detr import DETR_PRETRAINED_CONFIG_ARCHIVE_MAP, DetrConfig, DetrOnnxConfig
  
  				try:
  								if not is_vision_available():
  												raise OptionalDependencyNotAvailable()
  				except OptionalDependencyNotAvailable:
  								pass
  				else:
  								from .feature_extraction_detr import DetrFeatureExtractor
  								from .image_processing_detr import DetrImageProcessor
  
  				try:
  								if not is_torch_available():
  												raise OptionalDependencyNotAvailable()
  				except OptionalDependencyNotAvailable:
  								pass
  				else:
  								from .modeling_detr import (
  								    DETR_PRETRAINED_MODEL_ARCHIVE_LIST,
  								    DetrForObjectDetection,
  								    DetrForSegmentation,
  								    DetrModel,
  								    DetrPreTrainedModel,
  								)
  
  else:
  				import sys
  
  				SCREAMING_SNAKE_CASE__    :    Tuple								=					_LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)
  