



from __future__ import annotations

from collections.abc import MutableSequence



class   UpperCAmelCase_    :







							def __init__(   self,			__a,			__a):

														'''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     :							Any    =    degree







							def __add__(   self,			__a):

														'''simple docstring'''

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







							def __sub__(   self,			__a):

														'''simple docstring'''

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







							def __neg__(   self):

														'''simple docstring'''

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







							def __mul__(   self,			__a):

														'''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    snake_case__      (   self,			__a):

														'''simple docstring'''

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







							def __str__(   self):

														'''simple docstring'''

														_lowerCAmelCase     :							List[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(__a)

														return polynomial







							def __repr__(   self):

														'''simple docstring'''

														return self.__str__()







							def    snake_case__      (   self):

														'''simple docstring'''

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







							def    snake_case__      (   self,			__a = 0):

														'''simple docstring'''

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







							def __eq__(   self,			__a):

														'''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,			__a):

														'''simple docstring'''

														return not self.__eq__(__a)







import copy
from dataclasses import dataclass, field
from typing import ClassVar, Dict

from ..features import ClassLabel, Features, Image
from .base import TaskTemplate



@dataclass(frozen=__SCREAMING_SNAKE_CASE    )
class    _SCREAMING_SNAKE_CASE						(	__SCREAMING_SNAKE_CASE    ):







 '''simple docstring'''
 lowercase_		=			field(default="image-classification"    ,							metadata={"include_in_asdict_even_if_is_default": True}    )
 lowercase_		=			Features({"image": Image()}    )
 lowercase_		=			Features({"labels": ClassLabel}    )
 lowercase_		=			"image"
 lowercase_		=			"labels"

 def 							SCREAMING_SNAKE_CASE_					(self				:   Tuple       , UpperCAmelCase_				:   Union[str, Any])       ->Tuple:



   '''simple docstring'''



   if self.label_column not in features:
     raise ValueError(F"""Column {self.label_column} is not present in features.""")
   if not isinstance(features[self.label_column]       , UpperCAmelCase_):
     raise ValueError(F"""Column {self.label_column} is not a ClassLabel.""")
   lowerCamelCase__:      List[Any]			  =copy.deepcopy(self)
   lowerCamelCase__:      Optional[int]			  =self.label_schema.copy()
   lowerCamelCase__:      int			  =features[self.label_column]
   lowerCamelCase__:      int			  =label_schema
   return task_template







 @property
 def 							SCREAMING_SNAKE_CASE_					(self				:   Dict)       ->Dict[str, str]:



   '''simple docstring'''



   return {
       self.image_column: "image",
       self.label_column: "labels",
   }

