code: 
  
  
  
  import importlib.metadata
  import sys
  
  from transformers.testing_utils import TestCasePlus
  from transformers.utils.versions import require_version, require_version_core
  
  
  __A       					=		importlib.metadata.version('''numpy''')
  __A       					=		'''.'''.join([str(x) for x in sys.version_info[:3]])
  
  
  
  
  
  
  class 	lowercase		(				snake_case__):
  
  
  
  
  
  
  	"""simple docstring"""
  
  
  	def 						_SCREAMING_SNAKE_CASE	(			self			:		Optional[int]  )    ->				int:
  							# lt + different version strings
  							require_version_core("""numpy<1000.4.5"""  )
  							require_version_core("""numpy<1000.4"""  )
  							require_version_core("""numpy<1000"""  )
  
  							# le
  							require_version_core("""numpy<=1000.4.5"""  )
  							require_version_core(F"""numpy<={numpy_ver}"""  )
  
  							# eq
  							require_version_core(F"""numpy=={numpy_ver}"""  )
  
  							# ne
  							require_version_core("""numpy!=1000.4.5"""  )
  
  							# ge
  							require_version_core("""numpy>=1.0"""  )
  							require_version_core("""numpy>=1.0.0"""  )
  							require_version_core(F"""numpy>={numpy_ver}"""  )
  
  							# gt
  							require_version_core("""numpy>1.0.0"""  )
  
  							# mix
  							require_version_core("""numpy>1.0.0,<1000"""  )
  
  							# requirement w/o version
  							require_version_core("""numpy"""  )
  
  							# unmet requirements due to version conflict
  							for req in ["numpy==1.0.0", "numpy>=1000.0.0", F"""numpy<{numpy_ver}"""]:
  													try:
  																			require_version_core(__UpperCAmelCase  )
  													except ImportError as e:
  																			self.assertIn(F"""{req} is required"""		,						str(__UpperCAmelCase  )  )
  																			self.assertIn("""but found"""		,						str(__UpperCAmelCase  )  )
  
          # unmet requirements due to missing module
  							for req in ["numpipypie>1", "numpipypie2"]:
  													try:
  																			require_version_core(__UpperCAmelCase  )
  													except importlib.metadata.PackageNotFoundError as e:
  																			self.assertIn(F"""The '{req}' distribution was not found and is required by this application"""		,						str(__UpperCAmelCase  )  )
  																			self.assertIn("""Try: pip install transformers -U"""		,						str(__UpperCAmelCase  )  )
  
          # bogus requirements formats:
          # 1. whole thing
  							for req in ["numpy??1.0.0", "numpy1.0.0"]:
  													try:
  																			require_version_core(__UpperCAmelCase  )
  													except ValueError as e:
  																			self.assertIn("""requirement needs to be in the pip package format"""		,						str(__UpperCAmelCase  )  )
          # 2. only operators
  							for req in ["numpy=1.0.0", "numpy == 1.00", "numpy<>1.0.0", "numpy><1.00", "numpy>>1.0.0"]:
  													try:
  																			require_version_core(__UpperCAmelCase  )
  													except ValueError as e:
  																			self.assertIn("""need one of """		,						str(__UpperCAmelCase  )  )
  
  
  
  
  	def 						_SCREAMING_SNAKE_CASE	(			self			:		int  )    ->				str:
  							# matching requirement
  							require_version("""python>=3.6.0"""  )
  
  							# not matching requirements
  							for req in ["python>9.9.9", "python<3.0.0"]:
  													try:
  																			require_version_core(__UpperCAmelCase  )
  													except ImportError as e:
  																			self.assertIn(F"""{req} is required"""		,						str(__UpperCAmelCase  )  )
  																			self.assertIn(F"""but found python=={python_ver}"""		,						str(__UpperCAmelCase  )  )
  
  
  
  
  
style_context: 
  
  
  
  from __future__ import annotations
  
  
  
  def  __a  (					lowerCAmelCase_     :      int       )   ->				int | None:
  
  
  
  
  
  
  						'''simple docstring'''
  
  
  
  						for r in range(1    ,lowerCAmelCase_       ):
  												UpperCAmelCase_=     []
  												for x in range(n - 1       ):
  																		UpperCAmelCase_=     pow(lowerCAmelCase_    ,lowerCAmelCase_    ,lowerCAmelCase_       )
  																		if val in li:
  																								break
  																		li.append(lowerCAmelCase_       )
  												else:
  																		return r
  						return None
  
  
  if __name__ == "__main__":
  	__A       					=		int(input('''Enter a prime number q: '''))
  	__A       					=		find_primitive(q)
  	if a is None:
  		print(f'Cannot find the primitive for the value: {a!r}')
  	else:
  		__A       					=		int(input('''Enter private key of A: '''))
  		__A       					=		pow(a, a_private, q)
  		__A       					=		int(input('''Enter private key of B: '''))
  		__A       					=		pow(a, b_private, q)
  
  		__A       					=		pow(b_public, a_private, q)
  		__A       					=		pow(a_public, b_private, q)
  
  		print('''The key value generated by A is: ''', a_secret)
  		print('''The key value generated by B is: ''', b_secret)
  
  
  
  
  