





import torch

from transformers import AutoTokenizer




class 	_UpperCAmelCase						( _lowercase       ):




					def __init__(    self     ,   __lowerCAmelCase							)    ->	Union[str, Any]:
							UpperCamelCase__								=						AutoTokenizer.from_pretrained(__lowerCAmelCase							)




					def 						snake_case_		(    self     ,   __lowerCAmelCase							)    ->	List[str]:

							if isinstance(__lowerCAmelCase     ,   __lowerCAmelCase							) and all(isinstance(_x     ,   __lowerCAmelCase							) for _x in x							):
									UpperCamelCase__								=						None
									for l in x:
											UpperCamelCase__								=						self.tokenizer(
											    __lowerCAmelCase     ,   padding="""max_length"""     ,   max_length=384     ,   truncation=__lowerCAmelCase     ,   return_tensors="""pt"""     ,   )
											UpperCamelCase__								=						torch.tensor([len(__lowerCAmelCase							)]							)
											if d is not None:
													for k in d.keys():
															UpperCamelCase__								=						torch.cat((d[k], t[k])     ,   0							)
											else:
													UpperCamelCase__								=						t

									UpperCamelCase__								=						torch.tensor(self.tokenizer.convert_tokens_to_ids("""[E]"""							)							)
									UpperCamelCase__								=						torch.tensor(self.tokenizer.convert_tokens_to_ids("""[/E]"""							)							)

							elif isinstance(__lowerCAmelCase     ,   __lowerCAmelCase							) and all(isinstance(_x     ,   __lowerCAmelCase							) for _x in x							):
									UpperCamelCase__								=						self.tokenizer(
									    __lowerCAmelCase     ,   padding="""max_length"""     ,   max_length=384     ,   truncation=__lowerCAmelCase     ,   return_tensors="""pt"""     ,   )

							else:
									raise Exception(
									    """Type of parameter x was not recognized! Only `list of strings` for query or `list of lists of"""
									    """ strings` for supports are supported."""							)

							return d




					def 						snake_case_		(    self     ,   __lowerCAmelCase     ,   __lowerCAmelCase     ,   __lowerCAmelCase     ,   __lowerCAmelCase     ,   __lowerCAmelCase=0.7_0							)    ->	List[Any]:
							UpperCamelCase__								=						[]
							for idx in range(len(W_query["""input_ids"""]							)							):
									UpperCamelCase__								=						UpperCamelCase__								=						range(p_start.shape[1]							)

									UpperCamelCase__								=						[]
									for start_id in start_indexes:
											for end_id in end_indexes:
													if start_id < end_id:
															output.append(
															    (
															        start_id,
															        end_id,
															        p_start[idx][start_id].item(),
															        p_end[idx][end_id].item(),
															    )							)

									output.sort(key=lambda __lowerCAmelCase							: (tup[2] * tup[3])     ,   reverse=__lowerCAmelCase							)
									UpperCamelCase__								=						[]
									for k in range(len(__lowerCAmelCase							)							):
											if output[k][2] * output[k][3] >= thresh:
													UpperCamelCase__	,      UpperCamelCase__								=						output[k][0], output[k][1]
													UpperCamelCase__								=						self.tokenizer.decode(W_query["""input_ids"""][idx][c_start_pos:c_end_pos]							)
													temp.append((decoded, output[k][2] * output[k][3])							)

									final_outputs.append(__lowerCAmelCase							)

							return final_outputs












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))





