



import contextlib
import importlib
import io
import unittest

import transformers

# Try to import everything from transformers to ensure every object can be loaded.
from transformers import *  # noqa F406
from transformers.testing_utils import DUMMY_UNKNOWN_IDENTIFIER, require_flax, require_tf, require_torch
from transformers.utils import ContextManagers, find_labels, is_flax_available, is_tf_available, is_torch_available


if is_torch_available():
			from transformers import BertForPreTraining, BertForQuestionAnswering, BertForSequenceClassification

if is_tf_available():
			from transformers import TFBertForPreTraining, TFBertForQuestionAnswering, TFBertForSequenceClassification

if is_flax_available():
			from transformers import FlaxBertForPreTraining, FlaxBertForQuestionAnswering, FlaxBertForSequenceClassification


UpperCamelCase__    =						DUMMY_UNKNOWN_IDENTIFIER
# An actual model hosted on huggingface.co

UpperCamelCase__    =						"main"
# Default branch name
UpperCamelCase__    =						"f2c752cfc5c0ab6f4bdec59acea69eefbee381c2"
# One particular commit (not the top of `main`)
UpperCamelCase__    =						"aaaaaaa"
# This commit does not exist, so we should 404.

UpperCamelCase__    =						"d9e9f15bc825e4b2c9249e9578f884bbcb5e3684"
# Sha-1 of config.json on the top of `main`, for checking purposes
UpperCamelCase__    =						"4b243c475af8d0a7754e87d7d096c92e5199ec2fe168a2ee7998e3b8e9bcb1d3"






@contextlib.contextmanager
def  UpperCAmelCase__    (    ) ->      int:
						print("""Welcome!"""   )
						yield
						print("""Bye!"""   )






@contextlib.contextmanager
def  UpperCAmelCase__    (    ) ->      Any:
						print("""Bonjour!"""   )
						yield
						print("""Au revoir!"""   )
class 			_lowerCAmelCase   ( unittest.TestCase			):






			"""simple docstring"""





			def 		snake_case__			(				self	:       List[Any]   )						->					str:
									"""simple docstring"""







									assert transformers.__spec__ is not None
									assert importlib.util.find_spec("""transformers"""   ) is not None





class 			_lowerCAmelCase   ( unittest.TestCase			):






			"""simple docstring"""





			@unittest.mock.patch("""sys.stdout"""			,     new_callable=io.StringIO   )
			def 		snake_case__			(				self	:       Tuple			,     lowercase	:       Tuple   )						->					Optional[Any]:
									"""simple docstring"""







									with ContextManagers([]   ):
															print("""Transformers are awesome!"""   )
									# The print statement adds a new line at the end of the output
									self.assertEqual(mock_stdout.getvalue()			,     """Transformers are awesome!\n"""   )





			@unittest.mock.patch("""sys.stdout"""			,     new_callable=io.StringIO   )
			def 		snake_case__			(				self	:       Tuple			,     lowercase	:       str   )						->					Optional[int]:
									"""simple docstring"""







									with ContextManagers([context_en()]   ):
															print("""Transformers are awesome!"""   )
									# The output should be wrapped with an English welcome and goodbye
									self.assertEqual(mock_stdout.getvalue()			,     """Welcome!\nTransformers are awesome!\nBye!\n"""   )





			@unittest.mock.patch("""sys.stdout"""			,     new_callable=io.StringIO   )
			def 		snake_case__			(				self	:       Optional[int]			,     lowercase	:       Optional[Any]   )						->					List[Any]:
									"""simple docstring"""







									with ContextManagers([context_fr(), context_en()]   ):
															print("""Transformers are awesome!"""   )
									# The output should be wrapped with an English and French welcome and goodbye
									self.assertEqual(mock_stdout.getvalue()			,     """Bonjour!\nWelcome!\nTransformers are awesome!\nBye!\nAu revoir!\n"""   )





			@require_torch
			def 		snake_case__			(				self	:       str   )						->					Tuple:
									"""simple docstring"""







									self.assertEqual(find_labels(a_   )			,     ["""labels"""]   )
									self.assertEqual(find_labels(a_   )			,     ["""labels""", """next_sentence_label"""]   )
									self.assertEqual(find_labels(a_   )			,     ["""start_positions""", """end_positions"""]   )
									class 			_lowerCAmelCase   ( __lowerCamelCase			):






												"""simple docstring"""





												pass





									self.assertEqual(find_labels(a_   )			,     ["""labels"""]   )





			@require_tf
			def 		snake_case__			(				self	:       List[Any]   )						->					Any:
									"""simple docstring"""







									self.assertEqual(find_labels(a_   )			,     ["""labels"""]   )
									self.assertEqual(find_labels(a_   )			,     ["""labels""", """next_sentence_label"""]   )
									self.assertEqual(find_labels(a_   )			,     ["""start_positions""", """end_positions"""]   )
									class 			_lowerCAmelCase   ( __lowerCamelCase			):






												"""simple docstring"""





												pass





									self.assertEqual(find_labels(a_   )			,     ["""labels"""]   )







			@require_flax
			def 		snake_case__			(				self	:       Optional[int]   )						->					Optional[Any]:
									"""simple docstring"""







									self.assertEqual(find_labels(a_   )			,     []   )
									self.assertEqual(find_labels(a_   )			,     []   )
									self.assertEqual(find_labels(a_   )			,     []   )
									class 			_lowerCAmelCase   ( __lowerCamelCase			):






												"""simple docstring"""





												pass





									self.assertEqual(find_labels(a_   )			,     []   )










from __future__ import annotations

from collections.abc import Callable

UpperCamelCase__ =						list[list[float | int]]






def  UpperCAmelCase__    (    lowercase__						,       lowercase__   ) ->      Matrix:
						__lowercase					=				len(lowercase__   )
						__lowercase					=				[[0 for _ in range(size + 1   )] for _ in range(lowercase__   )]
						__lowercase					=				42
						__lowercase					=				42
						__lowercase					=				42
						__lowercase					=				42
						__lowercase					=				42
						__lowercase					=				42

						for row in range(lowercase__   ):
												for col in range(lowercase__   ):
																		__lowercase					=				matrix[row][col]

												__lowercase					=				vector[row][0]

						__lowercase					=				0
						__lowercase					=				0
						while row < size and col < size:
												# pivoting
												__lowercase					=				max((abs(augmented[rowa][col]   ), rowa) for rowa in range(lowercase__						,       lowercase__   )   )[
												    1
												]
												if augmented[pivot_row][col] == 0:
																		col += 1
																		continue
												else:
																		__lowercase	,			__lowercase					=				augmented[pivot_row], augmented[row]

												for rowa in range(row + 1						,       lowercase__   ):
																		__lowercase					=				augmented[rowa][col] / augmented[row][col]
																		__lowercase					=				0
																		for cola in range(col + 1						,       size + 1   ):
																								augmented[rowa][cola] -= augmented[row][cola] * ratio

												row += 1
												col += 1

						# back substitution
						for col in range(1						,       lowercase__   ):
												for row in range(lowercase__   ):
																		__lowercase					=				augmented[row][col] / augmented[col][col]
																		for cola in range(lowercase__						,       size + 1   ):
																								augmented[row][cola] -= augmented[col][cola] * ratio

    # round to get rid of numbers like 2.000000000000004
						return [
						    [round(augmented[row][size] / augmented[row][row]						,       10   )] for row in range(lowercase__   )
						]






def  UpperCAmelCase__    (    lowercase__   ) ->      Callable[[int], int]:
						__lowercase					=				len(lowercase__   )
						__lowercase					=				[[0 for _ in range(lowercase__   )] for _ in range(lowercase__   )]
						__lowercase					=				[[0] for _ in range(lowercase__   )]
						__lowercase					=				42
						__lowercase					=				42
						__lowercase					=				42
						__lowercase					=				42

						for x_val, y_val in enumerate(lowercase__   ):
												for col in range(lowercase__   ):
																		__lowercase					=				(x_val + 1) ** (size - col - 1)
												__lowercase					=				y_val

						__lowercase					=				solve(lowercase__						,       lowercase__   )

						def interpolated_func(lowercase__   ) -> int:
												return sum(
												    round(coeffs[x_val][0]   ) * (var ** (size - x_val - 1))
												    for x_val in range(lowercase__   )   )

						return interpolated_func






def  UpperCAmelCase__    (    lowercase__   ) ->      int:
						return (
						    1
						    - variable
						    + variable**2
						    - variable**3
						    + variable**4
						    - variable**5
						    + variable**6
						    - variable**7
						    + variable**8
						    - variable**9
						    + variable**10
						)






def  UpperCAmelCase__    (    lowercase__ = question_function						,       lowercase__ = 10   ) ->      int:
						__lowercase					=				[func(lowercase__   ) for x_val in range(1						,       order + 1   )]

						__lowercase					=				[
						    interpolate(data_points[:max_coeff]   ) for max_coeff in range(1						,       order + 1   )
						]

						__lowercase					=				0
						__lowercase					=				42
						__lowercase					=				42

						for poly in polynomials:
												__lowercase					=				1
												while func(lowercase__   ) == poly(lowercase__   ):
																		x_val += 1

												ret += poly(lowercase__   )

						return ret


if __name__ == "__main__":
			print(F"""{solution() = }""")





