

"""simple docstring"""


import torch

from transformers import AutoTokenizer





class 					snake_case			(       __SCREAMING_SNAKE_CASE						):

				def __init__(			self							:       Union[str, Any]  ,						UpperCamelCase__							:       List[str])->     List[str]:



						'''simple docstring'''


						__lowerCAmelCase: List[Any]					   =    AutoTokenizer.from_pretrained(UpperCamelCase__)

				def 							lowercase_  (			self							:       Any  ,						UpperCamelCase__							:       str)->     Dict:



						'''simple docstring'''


						if isinstance(UpperCamelCase__  ,						UpperCamelCase__) and all(isinstance(_x  ,						UpperCamelCase__) for _x in x):
								__lowerCAmelCase: Any					   =    None
								for l in x:
										__lowerCAmelCase: str					   =    self.tokenizer(
										    UpperCamelCase__  ,						padding="max_length"  ,						max_length=3_8_4  ,						truncation=UpperCamelCase__  ,						return_tensors="pt"  ,						)
										__lowerCAmelCase: Tuple					   =    torch.tensor([len(UpperCamelCase__)])
										if d is not None:
												for k in d.keys():
														__lowerCAmelCase: int					   =    torch.cat((d[k], t[k])  ,						0)
										else:
												__lowerCAmelCase: List[str]					   =    t

								__lowerCAmelCase: Union[str, Any]					   =    torch.tensor(self.tokenizer.convert_tokens_to_ids("[E]"))
								__lowerCAmelCase: int					   =    torch.tensor(self.tokenizer.convert_tokens_to_ids("[/E]"))

						elif isinstance(UpperCamelCase__  ,						UpperCamelCase__) and all(isinstance(_x  ,						UpperCamelCase__) for _x in x):
								__lowerCAmelCase: Optional[int]					   =    self.tokenizer(
								    UpperCamelCase__  ,						padding="max_length"  ,						max_length=3_8_4  ,						truncation=UpperCamelCase__  ,						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 							lowercase_  (			self							:       int  ,						UpperCamelCase__							:       List[Any]  ,						UpperCamelCase__							:       List[Any]  ,						UpperCamelCase__							:       Any  ,						UpperCamelCase__							:       Tuple  ,						UpperCamelCase__							:       Any=0.70)->     Dict:



						'''simple docstring'''


						__lowerCAmelCase: str					   =    []
						for idx in range(len(W_query["input_ids"])):
								__lowerCAmelCase: Optional[int]					   =    range(p_start.shape[1])

								__lowerCAmelCase: str					   =    []
								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 UpperCamelCase__: (tup[2] * tup[3])  ,						reverse=UpperCamelCase__)
								__lowerCAmelCase: int					   =    []
								for k in range(len(UpperCamelCase__)):
										if output[k][2] * output[k][3] >= thresh:
												__lowerCAmelCase: Tuple					   =    output[k][0], output[k][1]
												__lowerCAmelCase: str					   =    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(UpperCamelCase__)

						return final_outputs





"""simple docstring"""


from __future__ import annotations






def 					a__					(					__SCREAMING_SNAKE_CASE      ,				__SCREAMING_SNAKE_CASE      ,				__SCREAMING_SNAKE_CASE				)			->			tuple[float, float]:
		assert (
		    c % greatest_common_divisor(__SCREAMING_SNAKE_CASE      ,				__SCREAMING_SNAKE_CASE				) == 0
		)  # greatest_common_divisor(a,b) function implemented below
		((__lowerCAmelCase)   ,				(__lowerCAmelCase)   ,				(__lowerCAmelCase)): Dict					   =    extended_gcd(__SCREAMING_SNAKE_CASE      ,				__SCREAMING_SNAKE_CASE				)  # extended_gcd(a,b) function implemented below
		__lowerCAmelCase: Optional[int]					   =    c / d
		return (r * x, r * y)






def 					a__					(					__SCREAMING_SNAKE_CASE      ,				__SCREAMING_SNAKE_CASE      ,				__SCREAMING_SNAKE_CASE      ,				__SCREAMING_SNAKE_CASE = 2				)			->			None:
		((__lowerCAmelCase)   ,				(__lowerCAmelCase)): Optional[Any]					   =    diophantine(__SCREAMING_SNAKE_CASE      ,				__SCREAMING_SNAKE_CASE      ,				__SCREAMING_SNAKE_CASE				)  # Initial value
		__lowerCAmelCase: Optional[Any]					   =    greatest_common_divisor(__SCREAMING_SNAKE_CASE      ,				__SCREAMING_SNAKE_CASE				)
		__lowerCAmelCase: Any					   =    a // d
		__lowerCAmelCase: str					   =    b // d

		for i in range(__SCREAMING_SNAKE_CASE				):
				__lowerCAmelCase: Dict					   =    xa + i * q
				__lowerCAmelCase: List[str]					   =    ya - i * p
				print(__SCREAMING_SNAKE_CASE      ,				__SCREAMING_SNAKE_CASE				)






def 					a__					(					__SCREAMING_SNAKE_CASE      ,				__SCREAMING_SNAKE_CASE				)			->			int:
		if a < b:
				__lowerCAmelCase   ,				__lowerCAmelCase: Any					   =    b, a

		while a % b != 0:
				__lowerCAmelCase   ,				__lowerCAmelCase: List[Any]					   =    b, a % b

		return b






def 					a__					(					__SCREAMING_SNAKE_CASE      ,				__SCREAMING_SNAKE_CASE				)			->			tuple[int, int, int]:
		assert a >= 0 and b >= 0

		if b == 0:
				__lowerCAmelCase   ,				__lowerCAmelCase   ,				__lowerCAmelCase: List[str]					   =    a, 1, 0
		else:
				((__lowerCAmelCase)   ,				(__lowerCAmelCase)   ,				(__lowerCAmelCase)): Dict					   =    extended_gcd(__SCREAMING_SNAKE_CASE      ,				a % b				)
				__lowerCAmelCase: Dict					   =    q
				__lowerCAmelCase: int					   =    p - q * (a // b)

		assert a % d == 0 and b % d == 0
		assert d == a * x + b * y

		return (d, x, y)


if __name__ == "__main__":
			from doctest import testmod

			testmod(name="diophantine", verbose=True)
			testmod(name="diophantine_all_soln", verbose=True)
			testmod(name="extended_gcd", verbose=True)
			testmod(name="greatest_common_divisor", verbose=True)


