





'''simple docstring'''







from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


snake_case_  :							Union[str, Any]            =	{"configuration_visual_bert": ["VISUAL_BERT_PRETRAINED_CONFIG_ARCHIVE_MAP", "VisualBertConfig"]}

try:
					if not is_torch_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					snake_case_  :							Dict            =	[
					    "VISUAL_BERT_PRETRAINED_MODEL_ARCHIVE_LIST",
					    "VisualBertForMultipleChoice",
					    "VisualBertForPreTraining",
					    "VisualBertForQuestionAnswering",
					    "VisualBertForRegionToPhraseAlignment",
					    "VisualBertForVisualReasoning",
					    "VisualBertLayer",
					    "VisualBertModel",
					    "VisualBertPreTrainedModel",
					]


if TYPE_CHECKING:
					from .configuration_visual_bert import VISUAL_BERT_PRETRAINED_CONFIG_ARCHIVE_MAP, VisualBertConfig

					try:
										if not is_torch_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_visual_bert import (
										    VISUAL_BERT_PRETRAINED_MODEL_ARCHIVE_LIST,
										    VisualBertForMultipleChoice,
										    VisualBertForPreTraining,
										    VisualBertForQuestionAnswering,
										    VisualBertForRegionToPhraseAlignment,
										    VisualBertForVisualReasoning,
										    VisualBertLayer,
										    VisualBertModel,
										    VisualBertPreTrainedModel,
										)


else:
					import sys

					snake_case_  :							List[str]            =	_LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)










from __future__ import annotations
def 						snake_case__							(       __lowercase				,  __lowercase				,  __lowercase				,  )		->		list[float | int]:







						"""simple docstring"""

						if not all((nth_term, start_term_a, common_ratio_r)							):
												return []
						A__						:				list[float | int]         =			[]
						A__						:				Optional[Any]         =			1
						A__						:				List[Any]         =			common_ratio_r
						for _ in range(int(__lowercase							)							):
												if not series:
																		series.append(__lowercase							)
												else:
																		power += 1
																		series.append(float(start_term_a * multiple							)							)
																		A__						:				Optional[Any]         =			pow(float(__lowercase							)				,  __lowercase							)
						return series


if __name__ == "__main__":
		import doctest

		doctest.testmod()

		snake_case     :    Optional[int]						=    float(input('Enter the last number (n term) of the Geometric Series'))
		snake_case     :    str						=    float(input('Enter the starting term (a) of the Geometric Series'))
		snake_case     :    int						=    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))