



import os
from shutil import copyfile
from typing import List, Optional, Tuple

from ...tokenization_utils import AddedToken
from ...tokenization_utils_fast import PreTrainedTokenizerFast
from ...utils import is_sentencepiece_available, logging


if is_sentencepiece_available():
			from .tokenization_rembert import RemBertTokenizer
else:
			UpperCamelCase__ =						None

UpperCamelCase__ =						logging.get_logger(__name__)
UpperCamelCase__ =						{"vocab_file": "sentencepiece.model", "tokenizer_file": "tokenizer.json"}

UpperCamelCase__ =						{
    "vocab_file": {
        "google/rembert": "https://huggingface.co/google/rembert/resolve/main/sentencepiece.model",
    },
    "tokenizer_file": {
        "google/rembert": "https://huggingface.co/google/rembert/resolve/main/tokenizer.json",
    },
}

UpperCamelCase__ =						{
    "google/rembert": 2_56,
}

UpperCamelCase__ =						"▁"
class 			_lowerCAmelCase   ( _UpperCAmelCase			):






			"""simple docstring"""





			lowercase__      :  List[Any]      =			VOCAB_FILES_NAMES
			lowercase__      :  str      =			PRETRAINED_VOCAB_FILES_MAP
			lowercase__      :  Any      =			PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
			lowercase__      :  int      =			RemBertTokenizer





			def __init__(				self	:       Tuple			,     lowercase	:       int=None			,     lowercase	:       str=None			,     lowercase	:       Optional[Any]=True			,     lowercase	:       Union[str, Any]=True			,     lowercase	:       Optional[int]=False			,     lowercase	:       Optional[Any]="[CLS]"			,     lowercase	:       Dict="[SEP]"			,     lowercase	:       Tuple="<unk>"			,     lowercase	:       str="[SEP]"			,     lowercase	:       str="<pad>"			,     lowercase	:       int="[CLS]"			,     lowercase	:       Tuple="[MASK]"			,     **lowercase	:       Union[str, Any]			,     )						->					int:
									"""simple docstring"""







									__lowercase					=				AddedToken(lowercase			,     lstrip=lowercase			,     rstrip=lowercase   ) if isinstance(lowercase			,     lowercase   ) else mask_token

									super().__init__(
									    lowercase			,     tokenizer_file=lowercase			,     do_lower_case=lowercase			,     remove_space=lowercase			,     keep_accents=lowercase			,     bos_token=lowercase			,     eos_token=lowercase			,     unk_token=lowercase			,     sep_token=lowercase			,     pad_token=lowercase			,     cls_token=lowercase			,     mask_token=lowercase			,     **lowercase			,     )

									__lowercase					=				do_lower_case
									__lowercase					=				remove_space
									__lowercase					=				keep_accents
									__lowercase					=				vocab_file
									__lowercase					=				False if not self.vocab_file else True





			def 		snake_case__			(				self	:       Tuple			,     lowercase	:       List[int]			,     lowercase	:       Optional[List[int]] = None   )						->					List[int]:
									"""simple docstring"""







									__lowercase					=				[self.sep_token_id]
									__lowercase					=				[self.cls_token_id]
									if token_ids_a is None:
															return cls + token_ids_a + sep
									return cls + token_ids_a + sep + token_ids_a + sep





			def 		snake_case__			(				self	:       Tuple			,     lowercase	:       List[int]			,     lowercase	:       Optional[List[int]] = None			,     lowercase	:       bool = False   )						->					List[int]:
									"""simple docstring"""







									if already_has_special_tokens:
															if token_ids_a is not None:
																					raise ValueError(
																					    """You should not supply a second sequence if the provided sequence of """
																					    """ids is already formatted with special tokens for the model."""   )
															return [1 if x in [self.sep_token_id, self.cls_token_id] else 0 for x in token_ids_a]

									if token_ids_a is not None:
															return [1] + ([0] * len(lowercase   )) + [1] + ([0] * len(lowercase   )) + [1]
									return [1] + ([0] * len(lowercase   )) + [1]





			def 		snake_case__			(				self	:       Tuple			,     lowercase	:       List[int]			,     lowercase	:       Optional[List[int]] = None   )						->					List[int]:
									"""simple docstring"""







									__lowercase					=				[self.sep_token_id]
									__lowercase					=				[self.cls_token_id]

									if token_ids_a is None:
															return len(cls + token_ids_a + sep   ) * [0]
									return len(cls + token_ids_a + sep   ) * [0] + len(token_ids_a + sep   ) * [1]







			def 		snake_case__			(				self	:       int			,     lowercase	:       str			,     lowercase	:       Optional[str] = None   )						->					Tuple[str]:
									"""simple docstring"""







									if not os.path.isdir(lowercase   ):
															logger.error("""Vocabulary path ({}) should be a directory""".format(lowercase   )   )
															return
									__lowercase					=				os.path.join(
									    lowercase			,     (filename_prefix + """-""" if filename_prefix else """""") + VOCAB_FILES_NAMES["""vocab_file"""]   )

									if os.path.abspath(self.vocab_file   ) != os.path.abspath(lowercase   ):
															copyfile(self.vocab_file			,     lowercase   )

									return (out_vocab_file,)










from __future__ import annotations

from collections.abc import Callable

UpperCamelCase__ =						list[list[float | int]]






def  UpperCAmelCase__    (    lowercase__						,       lowercase__   ) ->      Matrix:
						__lowercase					=				len(lowercase__   )
						__lowercase					=				[[0 for _ in range(size + 1   )] for _ in range(lowercase__   )]
						__lowercase					=				42
						__lowercase					=				42
						__lowercase					=				42
						__lowercase					=				42
						__lowercase					=				42
						__lowercase					=				42

						for row in range(lowercase__   ):
												for col in range(lowercase__   ):
																		__lowercase					=				matrix[row][col]

												__lowercase					=				vector[row][0]

						__lowercase					=				0
						__lowercase					=				0
						while row < size and col < size:
												# pivoting
												__lowercase					=				max((abs(augmented[rowa][col]   ), rowa) for rowa in range(lowercase__						,       lowercase__   )   )[
												    1
												]
												if augmented[pivot_row][col] == 0:
																		col += 1
																		continue
												else:
																		__lowercase	,			__lowercase					=				augmented[pivot_row], augmented[row]

												for rowa in range(row + 1						,       lowercase__   ):
																		__lowercase					=				augmented[rowa][col] / augmented[row][col]
																		__lowercase					=				0
																		for cola in range(col + 1						,       size + 1   ):
																								augmented[rowa][cola] -= augmented[row][cola] * ratio

												row += 1
												col += 1

						# back substitution
						for col in range(1						,       lowercase__   ):
												for row in range(lowercase__   ):
																		__lowercase					=				augmented[row][col] / augmented[col][col]
																		for cola in range(lowercase__						,       size + 1   ):
																								augmented[row][cola] -= augmented[col][cola] * ratio

    # round to get rid of numbers like 2.000000000000004
						return [
						    [round(augmented[row][size] / augmented[row][row]						,       10   )] for row in range(lowercase__   )
						]






def  UpperCAmelCase__    (    lowercase__   ) ->      Callable[[int], int]:
						__lowercase					=				len(lowercase__   )
						__lowercase					=				[[0 for _ in range(lowercase__   )] for _ in range(lowercase__   )]
						__lowercase					=				[[0] for _ in range(lowercase__   )]
						__lowercase					=				42
						__lowercase					=				42
						__lowercase					=				42
						__lowercase					=				42

						for x_val, y_val in enumerate(lowercase__   ):
												for col in range(lowercase__   ):
																		__lowercase					=				(x_val + 1) ** (size - col - 1)
												__lowercase					=				y_val

						__lowercase					=				solve(lowercase__						,       lowercase__   )

						def interpolated_func(lowercase__   ) -> int:
												return sum(
												    round(coeffs[x_val][0]   ) * (var ** (size - x_val - 1))
												    for x_val in range(lowercase__   )   )

						return interpolated_func






def  UpperCAmelCase__    (    lowercase__   ) ->      int:
						return (
						    1
						    - variable
						    + variable**2
						    - variable**3
						    + variable**4
						    - variable**5
						    + variable**6
						    - variable**7
						    + variable**8
						    - variable**9
						    + variable**10
						)






def  UpperCAmelCase__    (    lowercase__ = question_function						,       lowercase__ = 10   ) ->      int:
						__lowercase					=				[func(lowercase__   ) for x_val in range(1						,       order + 1   )]

						__lowercase					=				[
						    interpolate(data_points[:max_coeff]   ) for max_coeff in range(1						,       order + 1   )
						]

						__lowercase					=				0
						__lowercase					=				42
						__lowercase					=				42

						for poly in polynomials:
												__lowercase					=				1
												while func(lowercase__   ) == poly(lowercase__   ):
																		x_val += 1

												ret += poly(lowercase__   )

						return ret


if __name__ == "__main__":
			print(F"""{solution() = }""")





