


def       lowercase_		(		_A			:    int = 1000						):

      """simple docstring"""




      lowerCamelCase__		:				Optional[Any]    =  -1
      lowerCamelCase__		:				List[Any]    =  0
      for a in range(1    ,					n // 3						):
            # Solving the two equations a**2+b**2=c**2 and a+b+c=N eliminating c
            lowerCamelCase__		:				int    =  (n * n - 2 * a * n) // (2 * n - 2 * a)
            lowerCamelCase__		:				int    =  n - a - b
            if c * c == (a * a + b * b):
                  lowerCamelCase__		:				Tuple    =  a * b * c
                  if candidate >= product:
                        lowerCamelCase__		:				List[Any]    =  candidate
      return product


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






from PIL import Image

def       lowercase_		(		_A			:    Image						):

      """simple docstring"""




      lowerCamelCase__    ,   lowerCamelCase__		:				List[str]    =  image.size
      lowerCamelCase__		:				Dict    =  0
      lowerCamelCase__		:				Dict    =  image.load()
      for i in range(_A						):
            for j in range(_A						):
                  lowerCamelCase__		:				List[str]    =  pixels[j, i]
                  mean += pixel
      mean //= width * height

      for j in range(_A						):
            for i in range(_A						):
                  lowerCamelCase__		:				Union[str, Any]    =  255 if pixels[i, j] > mean else 0
      return image


if __name__ == "__main__":
    A      :    int		=					mean_threshold(Image.open("path_to_image").convert("L"))
    image.save("output_image_path")


