






from __future__ import annotations

from collections.abc import MutableSequence
class  lowerCAmelCase_       :




							def __init__(   self     :   str ,							SCREAMING_SNAKE_CASE_     :   int ,							SCREAMING_SNAKE_CASE_     :   MutableSequence[float]	):
											if len(SCREAMING_SNAKE_CASE_	) != degree + 1:
															raise ValueError(
															    '''The number of coefficients should be equal to the degree + 1.'''	)

											lowerCAmelCase__      			=						list(SCREAMING_SNAKE_CASE_	)
											lowerCAmelCase__      			=						degree




							def __add__(   self     :   Optional[int] ,							SCREAMING_SNAKE_CASE_     :   Polynomial	):

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




							def __sub__(   self     :   Tuple ,							SCREAMING_SNAKE_CASE_     :   Polynomial	):
											return self + polynomial_a * Polynomial(0 ,							[-1]	)




							def __neg__(   self     :   Optional[Any]	):
											return Polynomial(self.degree ,							[-c for c in self.coefficients]	)




							def __mul__(   self     :   Tuple ,							SCREAMING_SNAKE_CASE_     :   Polynomial	):
											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 ,							SCREAMING_SNAKE_CASE_	)




							def 						__snake_case					(   self     :   Dict ,							SCREAMING_SNAKE_CASE_     :   int | float	):
											lowerCAmelCase__      			=						0
											for i in range(self.degree + 1	):
															result += self.coefficients[i] * (substitution**i)
											return result




							def __str__(   self     :   Dict	):
											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(SCREAMING_SNAKE_CASE_	)

											return polynomial




							def __repr__(   self     :   Union[str, Any]	):
											return self.__str__()




							def 						__snake_case					(   self     :   List[Any]	):
											lowerCAmelCase__      			=						[0] * self.degree
											for i in range(self.degree	):
															lowerCAmelCase__      			=						self.coefficients[i + 1] * (i + 1)
											return Polynomial(self.degree - 1 ,							SCREAMING_SNAKE_CASE_	)




							def 						__snake_case					(   self     :   List[str] ,							SCREAMING_SNAKE_CASE_     :   int | float = 0	):
											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 ,							SCREAMING_SNAKE_CASE_	)




							def __eq__(   self     :   List[str] ,							SCREAMING_SNAKE_CASE_     :   object	):
											if not isinstance(SCREAMING_SNAKE_CASE_ ,							SCREAMING_SNAKE_CASE_	):
															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     :   List[Any] ,							SCREAMING_SNAKE_CASE_     :   object	):
											return not self.__eq__(SCREAMING_SNAKE_CASE_	)













import pytest

import datasets


# Import fixture modules as plugins
_UpperCAmelCase			:		Tuple   				=    ["tests.fixtures.files", "tests.fixtures.hub", "tests.fixtures.fsspec"]





def 	lowerCAmelCase_		(lowercase__						:       Optional[int]     ,					lowercase__						:       int       )		->    Any:


				'''simple docstring'''




				for item in items:
								if any(marker in item.keywords for marker in ['''integration''', '''unit''']       ):
												continue
								item.add_marker(pytest.mark.unit       )





def 	lowerCAmelCase_		(lowercase__						:       str       )		->    List[str]:


				'''simple docstring'''




				config.addinivalue_line('''markers'''     ,					'''torchaudio_latest: mark test to run with torchaudio>=0.12'''       )





@pytest.fixture(autouse=lowercase__       )
def 	lowerCAmelCase_		(lowercase__						:       int     ,					lowercase__						:       Dict       )		->    Optional[Any]:


				'''simple docstring'''




				lowerCAmelCase__      			=						tmp_path_factory.getbasetemp() / '''cache'''
				lowerCAmelCase__      			=						test_hf_cache_home / '''datasets'''
				lowerCAmelCase__      			=						test_hf_cache_home / '''metrics'''
				lowerCAmelCase__      			=						test_hf_cache_home / '''modules'''
				monkeypatch.setattr('''datasets.config.HF_DATASETS_CACHE'''     ,					str(lowercase__       )       )
				monkeypatch.setattr('''datasets.config.HF_METRICS_CACHE'''     ,					str(lowercase__       )       )
				monkeypatch.setattr('''datasets.config.HF_MODULES_CACHE'''     ,					str(lowercase__       )       )
				lowerCAmelCase__      			=						test_hf_datasets_cache / '''downloads'''
				monkeypatch.setattr('''datasets.config.DOWNLOADED_DATASETS_PATH'''     ,					str(lowercase__       )       )
				lowerCAmelCase__      			=						test_hf_datasets_cache / '''downloads''' / '''extracted'''
				monkeypatch.setattr('''datasets.config.EXTRACTED_DATASETS_PATH'''     ,					str(lowercase__       )       )





@pytest.fixture(autouse=lowercase__     ,					scope='''session'''       )
def 	lowerCAmelCase_		()		->    int:


				'''simple docstring'''




				datasets.disable_progress_bar()





@pytest.fixture(autouse=lowercase__       )
def 	lowerCAmelCase_		(lowercase__						:       Dict       )		->    List[str]:


				'''simple docstring'''




				monkeypatch.setattr('''datasets.config.HF_UPDATE_DOWNLOAD_COUNTS'''     ,					lowercase__       )





@pytest.fixture
def 	lowerCAmelCase_		(lowercase__						:       List[str]       )		->    List[Any]:


				'''simple docstring'''




				monkeypatch.setattr('''sqlalchemy.util.deprecations.SILENCE_UBER_WARNING'''     ,					lowercase__       )





