


"""simple docstring"""







from ..utils import DummyObject, requires_backends






class 						_A  (  metaclass=_a  ):







    """simple docstring"""




    UpperCAmelCase	:							Tuple     =	["""speech"""]






    def __init__( self    :   Tuple    ,			*__UpperCAmelCase    :   Dict    ,			**__UpperCAmelCase    :   Optional[Any]):
      requires_backends(self    ,			["speech"])






class 						_A  (  metaclass=_a  ):







    """simple docstring"""




    UpperCAmelCase	:							str     =	["""speech"""]






    def __init__( self    :   Optional[Any]    ,			*__UpperCAmelCase    :   Tuple    ,			**__UpperCAmelCase    :   Any):
      requires_backends(self    ,			["speech"])










"""simple docstring"""







from math import ceil, sqrt


def 					lowercase      (    A_ = 1_000_000	)->				int:
  '''simple docstring'''







  a						:		Tuple											=      0

  for outer_width in range(3  ,       (limit // 4) + 2	):
    if outer_width**2 > limit:
      a						:		str											=      max(ceil(sqrt(outer_width**2 - limit	)	)  ,       1	)
    else:
      a						:		Tuple											=      1
    if (outer_width - hole_width_lower_bound) % 2:
      hole_width_lower_bound += 1

    answer += (outer_width - hole_width_lower_bound - 2) // 2 + 1

  return answer


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






