




"""simple docstring"""


from pathlib import Path

import numpy as np
from PIL import Image


def  UpperCAmelCase__	(snake_case__							: np.ndarray   ):
  """simple docstring"""

  _snake_case		, _snake_case		, _snake_case							:		Dict								=  rgb[:, :, 0], rgb[:, :, 1], rgb[:, :, 2]
  return 0.29_89 * r + 0.58_70 * g + 0.11_40 * b


def  UpperCAmelCase__	(snake_case__							: np.ndarray   ):
  """simple docstring"""

  return (gray > 1_27) & (gray <= 2_55)


def  UpperCAmelCase__	(snake_case__							: np.ndarray		,       snake_case__							: np.ndarray   ):
  """simple docstring"""

  _snake_case							:		Dict								=  np.zeros_like(snake_case__   )
  _snake_case							:		List[str]								=  np.zeros(
      (image.shape[0] + kernel.shape[0] - 1, image.shape[1] + kernel.shape[1] - 1)   )

  # Copy image to padded image
  _snake_case							:		Union[str, Any]								=  image

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


if __name__ == "__main__":
     # read original image
     A_      =    Path(__file__).resolve().parent / '''image_data''' / '''lena.jpg'''
     A_      =    np.array(Image.open(lena_path))
     # kernel to be applied
     A_      =    np.array([[0, 1, 0], [1, 1, 1], [0, 1, 0]])
     A_      =    dilation(gray_to_binary(rgb_to_gray(lena)), structuring_element)
     # Save the output image
     A_      =    Image.fromarray(output).convert('''RGB''')
     pil_img.save('''result_dilation.png''')








"""simple docstring"""


def  UpperCAmelCase__	(snake_case__							: int = 10_00   ):
  """simple docstring"""

  _snake_case		, _snake_case							:		List[Any]								=  1, 1
  _snake_case							:		str								=  []
  for i in range(1		,       n + 1   ):
    _snake_case							:		Any								=  prev_numerator + 2 * prev_denominator
    _snake_case							:		Optional[Any]								=  prev_numerator + prev_denominator
    if len(str(snake_case__   )   ) > len(str(snake_case__   )   ):
      result.append(snake_case__   )
    _snake_case							:		int								=  numerator
    _snake_case							:		Any								=  denominator

  return len(snake_case__   )


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


