






from __future__ import annotations

from collections.abc import MutableSequence


class      lowercase__     :

	def __init__(							self		,    __UpperCAmelCase		,    __UpperCAmelCase       )->					List[Any]:







							'''simple docstring'''





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

							lowerCAmelCase__       =						list(__UpperCAmelCase       )
							lowerCAmelCase__       =						degree

	def __add__(							self		,    __UpperCAmelCase       )->					Optional[Any]:







							'''simple docstring'''





							if self.degree > polynomial_a.degree:
													lowerCAmelCase__       =						self.coefficients[:]
													for i in range(polynomial_a.degree + 1       ):
																			coefficients[i] += polynomial_a.coefficients[i]
													return Polynomial(self.degree		,    __UpperCAmelCase       )
							else:
													lowerCAmelCase__       =						polynomial_a.coefficients[:]
													for i in range(self.degree + 1       ):
																			coefficients[i] += self.coefficients[i]
													return Polynomial(polynomial_a.degree		,    __UpperCAmelCase       )

	def __sub__(							self		,    __UpperCAmelCase       )->					Any:







							'''simple docstring'''





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

	def __neg__(							self       )->					Tuple:







							'''simple docstring'''





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

	def __mul__(							self		,    __UpperCAmelCase       )->					Optional[int]:







							'''simple docstring'''





							lowerCAmelCase__       =						[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		,    __UpperCAmelCase       )

	def 		UpperCAmelCase  (							self		,    __UpperCAmelCase       )->					str:







							'''simple docstring'''





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

	def __str__(							self       )->					Any:







							'''simple docstring'''





							lowerCAmelCase__       =						''
							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(__UpperCAmelCase       )

							return polynomial

	def __repr__(							self       )->					Union[str, Any]:







							'''simple docstring'''





							return self.__str__()

	def 		UpperCAmelCase  (							self       )->					List[str]:







							'''simple docstring'''





							lowerCAmelCase__       =						[0] * self.degree
							for i in range(self.degree       ):
													lowerCAmelCase__       =						self.coefficients[i + 1] * (i + 1)
							return Polynomial(self.degree - 1		,    __UpperCAmelCase       )

	def 		UpperCAmelCase  (							self		,    __UpperCAmelCase = 0       )->					Union[str, Any]:







							'''simple docstring'''





							lowerCAmelCase__       =						[0] * (self.degree + 2)
							lowerCAmelCase__       =						constant
							for i in range(self.degree + 1       ):
													lowerCAmelCase__       =						self.coefficients[i] / (i + 1)
							return Polynomial(self.degree + 1		,    __UpperCAmelCase       )

	def __eq__(							self		,    __UpperCAmelCase       )->					Tuple:







							'''simple docstring'''





							if not isinstance(__UpperCAmelCase		,    __UpperCAmelCase       ):
													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		,    __UpperCAmelCase       )->					Optional[Any]:







							'''simple docstring'''





							return not self.__eq__(__UpperCAmelCase       )














from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


a_							=    {'''configuration_ibert''': ['''IBERT_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''IBertConfig''', '''IBertOnnxConfig''']}

try:
	if not is_torch_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	a_							=    [
	    '''IBERT_PRETRAINED_MODEL_ARCHIVE_LIST''',
	    '''IBertForMaskedLM''',
	    '''IBertForMultipleChoice''',
	    '''IBertForQuestionAnswering''',
	    '''IBertForSequenceClassification''',
	    '''IBertForTokenClassification''',
	    '''IBertModel''',
	    '''IBertPreTrainedModel''',
	]

if TYPE_CHECKING:
	from .configuration_ibert import IBERT_PRETRAINED_CONFIG_ARCHIVE_MAP, IBertConfig, IBertOnnxConfig

	try:
		if not is_torch_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .modeling_ibert import (
		    IBERT_PRETRAINED_MODEL_ARCHIVE_LIST,
		    IBertForMaskedLM,
		    IBertForMultipleChoice,
		    IBertForQuestionAnswering,
		    IBertForSequenceClassification,
		    IBertForTokenClassification,
		    IBertModel,
		    IBertPreTrainedModel,
		)

else:
	import sys

	a_							=    _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)






