




"""simple docstring"""






from __future__ import annotations

from collections.abc import MutableSequence




class   a__			:





						def __init__(							self      :	List[str]     ,a__      :	int     ,a__      :	MutableSequence[float])						->       None:




											"""simple docstring"""







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

											_lowerCAmelCase:list[float]									=  list(a__)
											_lowerCAmelCase:Optional[Any]									=  degree





						def __add__(							self      :	Any     ,a__      :	Polynomial)						->       Polynomial:




											"""simple docstring"""







											if self.degree > polynomial_a.degree:
																_lowerCAmelCase:Union[str, Any]									=  self.coefficients[:]
																for i in range(polynomial_a.degree + 1):
																					coefficients[i] += polynomial_a.coefficients[i]
																return Polynomial(self.degree     ,a__)
											else:
																_lowerCAmelCase:Tuple									=  polynomial_a.coefficients[:]
																for i in range(self.degree + 1):
																					coefficients[i] += self.coefficients[i]
																return Polynomial(polynomial_a.degree     ,a__)





						def __sub__(							self      :	Optional[int]     ,a__      :	Polynomial)						->       Polynomial:




											"""simple docstring"""







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





						def __neg__(							self      :	Optional[Any])						->       Polynomial:




											"""simple docstring"""







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





						def __mul__(							self      :	Tuple     ,a__      :	Polynomial)						->       Polynomial:




											"""simple docstring"""







											_lowerCAmelCase: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     ,a__)





						def       __UpperCamelCase     (							self      :	Tuple     ,a__      :	int | float)						->       int | float:




											"""simple docstring"""







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





						def __str__(							self      :	Tuple)						->       str:




											"""simple docstring"""







											_lowerCAmelCase:Dict									=  ''''''
											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(a__)

											return polynomial





						def __repr__(							self      :	Any)						->       str:




											"""simple docstring"""







											return self.__str__()





						def       __UpperCamelCase     (							self      :	int)						->       Polynomial:




											"""simple docstring"""







											_lowerCAmelCase:list[float]									=  [0] * self.degree
											for i in range(self.degree):
																_lowerCAmelCase:Optional[int]									=  self.coefficients[i + 1] * (i + 1)
											return Polynomial(self.degree - 1     ,a__)





						def       __UpperCamelCase     (							self      :	Any     ,a__      :	int | float = 0)						->       Polynomial:




											"""simple docstring"""







											_lowerCAmelCase:list[float]									=  [0] * (self.degree + 2)
											_lowerCAmelCase:List[str]									=  constant
											for i in range(self.degree + 1):
																_lowerCAmelCase:Dict									=  self.coefficients[i] / (i + 1)
											return Polynomial(self.degree + 1     ,a__)





						def __eq__(							self      :	Any     ,a__      :	object)						->       bool:




											"""simple docstring"""







											if not isinstance(a__     ,a__):
																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      :	Tuple     ,a__      :	object)						->       bool:




											"""simple docstring"""







											return not self.__eq__(a__)












"""simple docstring"""






from ...configuration_utils import PretrainedConfig




class   a__			(       UpperCamelCase_  ):
						snake_case__             = '''bert-generation'''





						def __init__(							self      :	Dict     ,a__      :	str=5_0358     ,a__      :	List[str]=1024     ,a__      :	int=24     ,a__      :	Optional[Any]=16     ,a__      :	List[str]=4096     ,a__      :	Optional[int]="gelu"     ,a__      :	str=0.1     ,a__      :	Union[str, Any]=0.1     ,a__      :	int=512     ,a__      :	Dict=0.02     ,a__      :	List[Any]=1E-12     ,a__      :	List[Any]=0     ,a__      :	int=2     ,a__      :	str=1     ,a__      :	Dict="absolute"     ,a__      :	int=True     ,**a__      :	List[str]     ,)						->       List[Any]:




											"""simple docstring"""







											super().__init__(pad_token_id=a__     ,bos_token_id=a__     ,eos_token_id=a__     ,**a__)

											_lowerCAmelCase:Optional[Any]									=  vocab_size
											_lowerCAmelCase:Union[str, Any]									=  hidden_size
											_lowerCAmelCase:Any									=  num_hidden_layers
											_lowerCAmelCase:int									=  num_attention_heads
											_lowerCAmelCase:int									=  hidden_act
											_lowerCAmelCase:List[Any]									=  intermediate_size
											_lowerCAmelCase:Optional[Any]									=  hidden_dropout_prob
											_lowerCAmelCase:int									=  attention_probs_dropout_prob
											_lowerCAmelCase:Optional[int]									=  max_position_embeddings
											_lowerCAmelCase:Dict									=  initializer_range
											_lowerCAmelCase:Union[str, Any]									=  layer_norm_eps
											_lowerCAmelCase:int									=  position_embedding_type
											_lowerCAmelCase:Tuple									=  use_cache






