

def    A_  (							):

      """simple docstring"""



      for n in range(1					,   1_0_0_0_0_0_0  ):
            yield n * (n + 1) // 2

def    A_  (							a  ):

      """simple docstring"""



      SCREAMING_SNAKE_CASE_				:  Dict           =     1
      SCREAMING_SNAKE_CASE_				:  Union[str, Any]           =     2
      while i * i <= n:
            SCREAMING_SNAKE_CASE_				:  Optional[int]           =     0
            while n % i == 0:
                  n //= i
                  multiplicity += 1
            divisors_count *= multiplicity + 1
            i += 1
      if n > 1:
            divisors_count *= 2
      return divisors_count

def    A_  (							):

      """simple docstring"""



      return next(i for i in triangle_number_generator() if count_divisors(a  ) > 5_0_0  )


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









from ..utils import DummyObject, requires_backends
class  _A		(  metaclass=__magic_name__):
  SCREAMING_SNAKE_CASE    :      Optional[int]       =  ['''flax''']

  def __init__(				self ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(self ,					['flax']					)

  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)



  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)

class  _A		(  metaclass=__magic_name__):
  SCREAMING_SNAKE_CASE    :      List[str]       =  ['''flax''']

  def __init__(				self ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(self ,					['flax']					)

  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)



  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)

class  _A		(  metaclass=__magic_name__):
  SCREAMING_SNAKE_CASE    :      Any       =  ['''flax''']

  def __init__(				self ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(self ,					['flax']					)

  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)



  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)

class  _A		(  metaclass=__magic_name__):
  SCREAMING_SNAKE_CASE    :      Optional[Any]       =  ['''flax''']

  def __init__(				self ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(self ,					['flax']					)

  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)



  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)

class  _A		(  metaclass=__magic_name__):
  SCREAMING_SNAKE_CASE    :      int       =  ['''flax''']

  def __init__(				self ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(self ,					['flax']					)

  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)



  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)

class  _A		(  metaclass=__magic_name__):
  SCREAMING_SNAKE_CASE    :      List[str]       =  ['''flax''']

  def __init__(				self ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(self ,					['flax']					)

  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)



  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)

class  _A		(  metaclass=__magic_name__):
  SCREAMING_SNAKE_CASE    :      int       =  ['''flax''']

  def __init__(				self ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(self ,					['flax']					)

  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)



  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)

class  _A		(  metaclass=__magic_name__):
  SCREAMING_SNAKE_CASE    :      Any       =  ['''flax''']

  def __init__(				self ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(self ,					['flax']					)

  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)



  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)

class  _A		(  metaclass=__magic_name__):
  SCREAMING_SNAKE_CASE    :      Optional[Any]       =  ['''flax''']

  def __init__(				self ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(self ,					['flax']					)

  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)



  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)

class  _A		(  metaclass=__magic_name__):
  SCREAMING_SNAKE_CASE    :      Dict       =  ['''flax''']

  def __init__(				self ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(self ,					['flax']					)

  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)



  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)

class  _A		(  metaclass=__magic_name__):
  SCREAMING_SNAKE_CASE    :      Any       =  ['''flax''']

  def __init__(				self ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(self ,					['flax']					)

  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)



  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)

class  _A		(  metaclass=__magic_name__):
  SCREAMING_SNAKE_CASE    :      Union[str, Any]       =  ['''flax''']

  def __init__(				self ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(self ,					['flax']					)

  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)



  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)

class  _A		(  metaclass=__magic_name__):
  SCREAMING_SNAKE_CASE    :      Union[str, Any]       =  ['''flax''']

  def __init__(				self ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(self ,					['flax']					)

  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)



  @classmethod
  def  UpperCAmelCase    (				cls ,					*_SCREAMING_SNAKE_CASE ,					**_SCREAMING_SNAKE_CASE					):





        """simple docstring"""







        requires_backends(cls ,					['flax']					)






