
"""simple docstring"""


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 		lowerCamelCase__					(					__magic_name__				):





			'''simple docstring'''



			def 					_lowerCAmelCase		(							self  ) ->     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 					_lowerCAmelCase		(							self  ) ->     Union[str, Any]:
				# 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  )  )










"""simple docstring"""




def        a_				(							_lowercase = 10**6   ):

						if n <= 0:
												raise ValueError('''Please enter an integer greater than 0'''   )

						_UpperCamelCase			:					Any     =    list(range(n + 1   )   )
						for number in range(2       ,						n + 1   ):
												if phi[number] == number:
																		phi[number] -= 1
																		for multiple in range(number * 2       ,						n + 1       ,						_lowercase   ):
																								_UpperCamelCase			:					List[str]     =    (phi[multiple] // number) * (number - 1)

						_UpperCamelCase			:					Union[str, Any]     =    1
						for number in range(1       ,						n + 1   ):
												if (answer / phi[answer]) < (number / phi[number]):
																		_UpperCamelCase			:					List[str]     =    number

						return answer


if __name__ == "__main__":
						print(solution())



