
'''simple docstring'''







def 			_a		(	_SCREAMING_SNAKE_CASE		:   int = 100_0000  ):
						_SCREAMING_SNAKE_CASE				= set(range(3	,			snake_case__	,			2  )  )
						primes.add(2  )
						for p in range(3	,			snake_case__	,			2  ):
												if p not in primes:
																		continue
												primes.difference_update(set(range(p * p	,			snake_case__	,			snake_case__  )  )  )

						_SCREAMING_SNAKE_CASE				= [float(snake_case__  ) for n in range(limit + 1  )]

						for p in primes:
												for n in range(snake_case__	,			limit + 1	,			snake_case__  ):
																		phi[n] *= 1 - 1 / p

						return int(sum(phi[2:]  )  )


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

'''simple docstring'''







from ..utils import DummyObject, requires_backends


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Dict       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Tuple       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					str       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Tuple       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					List[Any]       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Any       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Any       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					int       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					str       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Any       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Any       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Optional[Any]       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Union[str, Any]       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Optional[Any]       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					str       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Union[str, Any]       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					int       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Dict       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					List[str]       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Optional[Any]       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Optional[int]       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Dict       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Dict       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					str       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Optional[Any]       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Tuple       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Union[str, Any]       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					str       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Optional[int]       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Optional[Any]       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )


class 			lowerCAmelCase (				metaclass=__UpperCAmelCase			):
		a							:					Dict       =					["""sentencepiece"""]




		def __init__(				self					,						*UpperCamelCase					,						**UpperCamelCase      ):
								requires_backends(self					,						["sentencepiece"]      )