





from math import ceil, sqrt
def      _A       (		SCREAMING_SNAKE_CASE     :   int = 1_000_000						):





  """simple docstring"""



  a__	:					int										=0

  for outer_width in range(3       ,       (limit // 4) + 2						):
    if outer_width**2 > limit:
      a__	:					Any										=max(ceil(sqrt(outer_width**2 - limit						)						)       ,       1						)
    else:
      a__	:					List[str]										=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() = }""")













from math import pi
def      _A       (		SCREAMING_SNAKE_CASE     :   int       ,       SCREAMING_SNAKE_CASE     :   int						):





  """simple docstring"""



  return 2 * pi * radius * (angle / 360)


if __name__ == "__main__":
     print(arc_length(90, 10))






