

def 							_lowerCamelCase   (			SCREAMING_SNAKE_CASE = 1000   ):
      '''simple docstring'''







      A_							       =		-1
      A_							       =		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
            A_							       =		(n * n - 2 * a * n) // (2 * n - 2 * a)
            A_							       =		n - a - b
            if c * c == (a * a + b * b):
                  A_							       =		a * b * c
                  if candidate >= product:
                        A_							       =		candidate
      return product


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








from PIL import Image







def 						lowerCamelCase__      ( __A    :Image		):


       """simple docstring"""




       __snake_case	,    __snake_case       	=							image.size
       __snake_case       	=							0
       __snake_case       	=							image.load()
       for i in range(__A		):
              for j in range(__A		):
                     __snake_case       	=							pixels[j, i]
                     mean += pixel
       mean //= width * height

       for j in range(__A		):
              for i in range(__A		):
                     __snake_case       	=							2_5_5 if pixels[i, j] > mean else 0
       return image


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

