





from __future__ import annotations

from collections.abc import MutableSequence



class  __lowerCAmelCase	:






			def __init__(self ,							__magic_name__ ,							__magic_name__   )					->       None:


							'''simple docstring'''



							if len(__magic_name__   ) != degree + 1:
											raise ValueError(
											    '''The number of coefficients should be equal to the degree + 1.'''   )

							snake_case_						:   list[float]           =  list(__magic_name__   )
							snake_case_						:   Any           =  degree






			def __add__(self ,							__magic_name__   )					->       Polynomial:


							'''simple docstring'''



							if self.degree > polynomial_a.degree:
											snake_case_						:   List[Any]           =  self.coefficients[:]
											for i in range(polynomial_a.degree + 1   ):
															coefficients[i] += polynomial_a.coefficients[i]
											return Polynomial(self.degree ,							__magic_name__   )
							else:
											snake_case_						:   List[Any]           =  polynomial_a.coefficients[:]
											for i in range(self.degree + 1   ):
															coefficients[i] += self.coefficients[i]
											return Polynomial(polynomial_a.degree ,							__magic_name__   )






			def __sub__(self ,							__magic_name__   )					->       Polynomial:


							'''simple docstring'''



							return self + polynomial_a * Polynomial(0 ,							[-1]   )






			def __neg__(self   )					->       Polynomial:


							'''simple docstring'''



							return Polynomial(self.degree ,							[-c for c in self.coefficients]   )






			def __mul__(self ,							__magic_name__   )					->       Polynomial:


							'''simple docstring'''



							snake_case_						:   list[float]           =  [0] * (self.degree + polynomial_a.degree + 1)
							for i in range(self.degree + 1   ):
											for j in range(polynomial_a.degree + 1   ):
															coefficients[i + j] += (
															    self.coefficients[i] * polynomial_a.coefficients[j]
															)

							return Polynomial(self.degree + polynomial_a.degree ,							__magic_name__   )






			def       lowerCamelCase  (self ,							__magic_name__   )					->       int | float:


							'''simple docstring'''



							snake_case_						:   int | float           =  0
							for i in range(self.degree + 1   ):
											result += self.coefficients[i] * (substitution**i)
							return result






			def __str__(self   )					->       str:


							'''simple docstring'''



							snake_case_						:   Union[str, Any]           =  ''''''
							for i in range(self.degree ,							-1 ,							-1   ):
											if self.coefficients[i] == 0:
															continue
											elif self.coefficients[i] > 0:
															if polynomial:
																			polynomial += " + "
											else:
															polynomial += " - "

											if i == 0:
															polynomial += str(abs(self.coefficients[i]   )   )
											elif i == 1:
															polynomial += str(abs(self.coefficients[i]   )   ) + "x"
											else:
															polynomial += str(abs(self.coefficients[i]   )   ) + "x^" + str(__magic_name__   )

							return polynomial






			def __repr__(self   )					->       str:


							'''simple docstring'''



							return self.__str__()






			def       lowerCamelCase  (self   )					->       Polynomial:


							'''simple docstring'''



							snake_case_						:   list[float]           =  [0] * self.degree
							for i in range(self.degree   ):
											snake_case_						:   List[Any]           =  self.coefficients[i + 1] * (i + 1)
							return Polynomial(self.degree - 1 ,							__magic_name__   )






			def       lowerCamelCase  (self ,							__magic_name__ = 0   )					->       Polynomial:


							'''simple docstring'''



							snake_case_						:   list[float]           =  [0] * (self.degree + 2)
							snake_case_						:   str           =  constant
							for i in range(self.degree + 1   ):
											snake_case_						:   Optional[int]           =  self.coefficients[i] / (i + 1)
							return Polynomial(self.degree + 1 ,							__magic_name__   )






			def __eq__(self ,							__magic_name__   )					->       bool:


							'''simple docstring'''



							if not isinstance(__magic_name__ ,							__magic_name__   ):
											return False

							if self.degree != polynomial_a.degree:
											return False

							for i in range(self.degree + 1   ):
											if self.coefficients[i] != polynomial_a.coefficients[i]:
															return False

							return True






			def __ne__(self ,							__magic_name__   )					->       bool:


							'''simple docstring'''



							return not self.__eq__(__magic_name__   )







from typing import List, Optional

from tokenizers import ByteLevelBPETokenizer

from ...tokenization_utils_fast import PreTrainedTokenizerFast
from ...utils import logging
from .tokenization_blenderbot_small import BlenderbotSmallTokenizer


lowerCAmelCase_    =    logging.get_logger(__name__)

lowerCAmelCase_    =    {
    '''vocab_file''': '''vocab.json''',
    '''merges_file''': '''merges.txt''',
    '''tokenizer_config_file''': '''tokenizer_config.json''',
}

lowerCAmelCase_    =    {
    '''vocab_file''': {
        '''facebook/blenderbot_small-90M''': '''https://huggingface.co/facebook/blenderbot_small-90M/resolve/main/vocab.json'''
    },
    '''merges_file''': {
        '''facebook/blenderbot_small-90M''': '''https://huggingface.co/facebook/blenderbot_small-90M/resolve/main/merges.txt'''
    },
    '''tokenizer_config_file''': {
        '''facebook/blenderbot_small-90M''': (
            '''https://huggingface.co/facebook/blenderbot_small-90M/resolve/main/tokenizer_config.json'''
        )
    },
}

lowerCAmelCase_    =    {
    '''facebook/blenderbot_small-90M''': 5_1_2,
}



class  __lowerCAmelCase	(      _a					):
			lowerCamelCase_					:					int	      =				VOCAB_FILES_NAMES
			lowerCamelCase_					:					List[Any]	      =				PRETRAINED_VOCAB_FILES_MAP
			lowerCamelCase_					:					int	      =				PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
			lowerCamelCase_					:					Optional[Any]	      =				BlenderbotSmallTokenizer






			def __init__(self ,							__magic_name__=None ,							__magic_name__=None ,							__magic_name__="<|endoftext|>" ,							__magic_name__="<|endoftext|>" ,							__magic_name__="<|endoftext|>" ,							__magic_name__=False ,							__magic_name__=True ,							**__magic_name__ ,							)					->       Union[str, Any]:


							'''simple docstring'''



							super().__init__(
							    ByteLevelBPETokenizer(
							        vocab=__magic_name__ ,							merges=__magic_name__ ,							add_prefix_space=__magic_name__ ,							trim_offsets=__magic_name__ ,							) ,							bos_token=__magic_name__ ,							eos_token=__magic_name__ ,							unk_token=__magic_name__ ,							**__magic_name__ ,							)
							snake_case_						:   Optional[int]           =  add_prefix_space






			def       lowerCamelCase  (self ,							__magic_name__ ,							__magic_name__=None   )					->       Any:


							'''simple docstring'''



							snake_case_						:   Optional[int]           =  [self.bos_token_id] + token_ids_a + [self.eos_token_id]
							if token_ids_a is None:
											return output

							return output + [self.eos_token_id] + token_ids_a + [self.eos_token_id]






			def       lowerCamelCase  (self ,							__magic_name__ ,							__magic_name__ = None   )					->       List[int]:


							'''simple docstring'''



							snake_case_						:   List[str]           =  [self.sep_token_id]
							snake_case_						:   Optional[Any]           =  [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 + sep + token_ids_a + sep   ) * [0]
