


"""simple docstring"""







def 					lowercase      (    A_	)->				bool:
  '''simple docstring'''







  return number & 1 == 0


if __name__ == "__main__":
 import doctest

 doctest.testmod()










"""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() = }''')






