





import numpy as np
from PIL import Image


def 			lowerCamelCase_		(					lowerCAmelCase:		np.array )->						np.array:
  _snake_case							,    _snake_case							,    _snake_case      : str														=		rgb[:, :, 0], rgb[:, :, 1], rgb[:, :, 2]
  return 0.2_9_8_9 * r + 0.5_8_7_0 * g + 0.1_1_4_0 * b


def 			lowerCamelCase_		(					lowerCAmelCase:		np.array )->						np.array:
  return (gray > 1_27) & (gray <= 2_55)


def 			lowerCamelCase_		(					lowerCAmelCase:		np.array			,							lowerCAmelCase:		np.array )->						np.array:
  _snake_case      : Dict														=		np.zeros_like(lowerCAmelCase )
  _snake_case      : List[Any]														=		np.zeros(
      (image.shape[0] + kernel.shape[0] - 1, image.shape[1] + kernel.shape[1] - 1) )

  # Copy image to padded image
  _snake_case      : Optional[int]														=		image

  # Iterate over image & apply kernel
  for x in range(image.shape[1] ):
    for y in range(image.shape[0] ):
      _snake_case      : Dict														=		(
          kernel * image_padded[y : y + kernel.shape[0], x : x + kernel.shape[1]]
      ).sum()
      _snake_case      : Dict														=		int(summation == 5 )
  return output


# kernel to be applied
lowerCAmelCase_        =			np.array([[0, 1, 0], [1, 1, 1], [0, 1, 0]])

if __name__ == "__main__":
      # read original image
      lowerCAmelCase_        =			np.array(Image.open(r"""..\image_data\lena.jpg"""))
      # Apply erosion operation to a binary image
      lowerCAmelCase_        =			erosion(grayabinary(rgbagray(image)), structuring_element)
      # Save the output image
      lowerCAmelCase_        =			Image.fromarray(output).convert("""RGB""")
      pil_img.save("""result_erosion.png""")






def 				A__    (  lowerCamelCase = 20  )     ->		int:

				try:
								UpperCamelCase_:							int		=  int(lowerCamelCase  )
				except (TypeError, ValueError):
								raise TypeError("""Parameter n must be int or castable to int."""  )
				if n <= 0:
								raise ValueError("""Parameter n must be greater than or equal to one."""  )
				UpperCamelCase_:							Any		=  0
				while 1:
								i += n * (n - 1)
								UpperCamelCase_:							List[Any]		=  0
								for j in range(2   ,			lowerCamelCase  ):
												if i % j != 0:
																UpperCamelCase_:							Union[str, Any]		=  1
																break
								if nfound == 0:
												if i == 0:
																UpperCamelCase_:							List[str]		=  1
												return i
				return None


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






