






from __future__ import annotations

from collections.abc import MutableSequence


class 							__UpperCamelCase     :







	def __init__(	self   :				Optional[Any]							,					_lowerCAmelCase   :				int							,					_lowerCAmelCase   :				MutableSequence[float]      )		->			None:
		"""simple docstring"""







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

		__lowercase   							=	list(_lowerCAmelCase      )
		__lowercase   							=	degree







	def __add__(	self   :				Optional[int]							,					_lowerCAmelCase   :				Polynomial      )		->			Polynomial:
		"""simple docstring"""







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







	def __sub__(	self   :				int							,					_lowerCAmelCase   :				Polynomial      )		->			Polynomial:
		"""simple docstring"""







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







	def __neg__(	self   :				Union[str, Any]      )		->			Polynomial:
		"""simple docstring"""







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







	def __mul__(	self   :				Optional[int]							,					_lowerCAmelCase   :				Polynomial      )		->			Polynomial:
		"""simple docstring"""







		__lowercase   							=	[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							,					_lowerCAmelCase      )







	def 			_a (	self   :				Optional[int]							,					_lowerCAmelCase   :				int | float      )		->			int | float:
		"""simple docstring"""







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







	def __str__(	self   :				Dict      )		->			str:
		"""simple docstring"""







		__lowercase   							=	""""""
		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(_lowerCAmelCase      )

		return polynomial







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







		return self.__str__()







	def 			_a (	self   :				List[str]      )		->			Polynomial:
		"""simple docstring"""







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







	def 			_a (	self   :				Optional[Any]							,					_lowerCAmelCase   :				int | float = 0      )		->			Polynomial:
		"""simple docstring"""







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







	def __eq__(	self   :				List[str]							,					_lowerCAmelCase   :				object      )		->			bool:
		"""simple docstring"""







		if not isinstance(_lowerCAmelCase							,					_lowerCAmelCase      ):
			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   :				Dict							,					_lowerCAmelCase   :				object      )		->			bool:
		"""simple docstring"""







		return not self.__eq__(_lowerCAmelCase      )






from ...configuration_utils import PretrainedConfig
from ...utils import logging


_lowercase    	=		logging.get_logger(__name__)



class      _UpperCAmelCase      (							A__  ):
     UpperCamelCase__		     =					'''timm_backbone'''




     def __init__(					self			,    a__=None			,    a__=3			,    a__=True			,    a__=True			,    a__=None			,    **a__			,    ):
         super().__init__(**a__)
         A__					=       backbone
         A__					=       num_channels
         A__					=       features_only
         A__					=       use_pretrained_backbone
         A__					=       True
         A__					=       out_indices if out_indices is not None else (-1,)
