






"""simple docstring"""





def   a    (     __UpperCAmelCase      :    int  )    ->							bool:

						if p < 2:
												raise ValueError("""p should not be less than 2!"""  )
						elif p == 2:
												return True

						__magic_name__:	str							=       4
						__magic_name__:	Tuple							=       (1 << p) - 1
						for _ in range(p - 2  ):
												__magic_name__:	Tuple							=       ((s * s) - 2) % m
						return s == 0


if __name__ == "__main__":
							print(lucas_lehmer_test(7))
							print(lucas_lehmer_test(11))











'''simple docstring'''
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 		__SCREAMING_SNAKE_CASE       (	):


   """simple docstring"""




   print("Welcome!"				)
   yield
   print("Bye!"				)




@contextlib.contextmanager
def 		__SCREAMING_SNAKE_CASE       (	):


   """simple docstring"""




   print("Bonjour!"				)
   yield
   print("Au revoir!"				)


class 							_UpperCAmelCase    (		unittest.TestCase      ):




    def 					lowerCAmelCase__					(      self	:							int      ):






       '''simple docstring'''






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


class 							_UpperCAmelCase    (		unittest.TestCase      ):




    @unittest.mock.patch("sys.stdout"	,  new_callable=io.StringIO      )
    def 					lowerCAmelCase__					(      self	:							str	,  a	:							List[str]      ):






       '''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 					lowerCAmelCase__					(      self	:							List[str]	,  a	:							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 					lowerCAmelCase__					(      self	:							Tuple	,  a	:							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 					lowerCAmelCase__					(      self	:							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 							_UpperCAmelCase    (		snake_case      ):
           pass


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




    @require_tf
    def 					lowerCAmelCase__					(      self	:							int      ):






       '''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 							_UpperCAmelCase    (		snake_case      ):
           pass


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





    @require_flax
    def 					lowerCAmelCase__					(      self	:							str      ):






       '''simple docstring'''






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


       class 							_UpperCAmelCase    (		snake_case      ):
           pass


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




