




'''simple docstring'''
from ..utils import DummyObject, requires_backends






class 			SCREAMING_SNAKE_CASE(							metaclass=__A	):
       snake_case_					:	Tuple       =   ["""torch""", """transformers""", """invisible_watermark"""]

       def __init__(       self   ,						*lowerCamelCase__   ,						**lowerCamelCase__	)       ->   Union[str, Any]:

           """simple docstring"""



           requires_backends(self   ,						["""torch""", """transformers""", """invisible_watermark"""]	)

       @classmethod
       def        snake_case__     (       cls   ,						*lowerCamelCase__   ,						**lowerCamelCase__	)       ->   Optional[int]:

           """simple docstring"""



           requires_backends(cls   ,						["""torch""", """transformers""", """invisible_watermark"""]	)




       @classmethod
       def        snake_case__     (       cls   ,						*lowerCamelCase__   ,						**lowerCamelCase__	)       ->   Optional[int]:

           """simple docstring"""



           requires_backends(cls   ,						["""torch""", """transformers""", """invisible_watermark"""]	)






class 			SCREAMING_SNAKE_CASE(							metaclass=__A	):
       snake_case_					:	Tuple       =   ["""torch""", """transformers""", """invisible_watermark"""]

       def __init__(       self   ,						*lowerCamelCase__   ,						**lowerCamelCase__	)       ->   Dict:

           """simple docstring"""



           requires_backends(self   ,						["""torch""", """transformers""", """invisible_watermark"""]	)

       @classmethod
       def        snake_case__     (       cls   ,						*lowerCamelCase__   ,						**lowerCamelCase__	)       ->   Union[str, Any]:

           """simple docstring"""



           requires_backends(cls   ,						["""torch""", """transformers""", """invisible_watermark"""]	)




       @classmethod
       def        snake_case__     (       cls   ,						*lowerCamelCase__   ,						**lowerCamelCase__	)       ->   Dict:

           """simple docstring"""



           requires_backends(cls   ,						["""torch""", """transformers""", """invisible_watermark"""]	)










'''simple docstring'''
from math import gcd
def 							snake_case_    (  a__						:      int = 1_20_00     ):



    """simple docstring"""




    __lowercase     							=		0
    for d in range(max_d + 1     ):
        for n in range(d // 3 + 1       ,(d + 1) // 2     ):
            if gcd(a__       ,a__     ) == 1:
                fractions_number += 1
    return fractions_number


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




