


'''simple docstring'''






import numpy as np
from PIL import Image






def 						_A					(lowerCAmelCase__	:Optional[int]		) ->	Union[str, Any]:




     '''simple docstring'''



     _a   , _a   , _a         =				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 						_A					(lowerCAmelCase__	:Any		) ->	str:




     '''simple docstring'''



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






def 						_A					(lowerCAmelCase__	:List[str]					,    lowerCAmelCase__	:str		) ->	List[Any]:




     '''simple docstring'''



     _a         =				np.zeros_like(UpperCamelCase__		)
     _a         =				np.zeros(
         (image.shape[0] + kernel.shape[0] - 1, image.shape[1] + kernel.shape[1] - 1)		)

     # Copy image to padded image
     _a         =				image

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


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

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






"""simple docstring"""






import math


def 							A__ (     UpperCamelCase__    ):


  '''simple docstring'''


  if not isinstance(UpperCamelCase__       ,							UpperCamelCase__    ):
    _SCREAMING_SNAKE_CASE        =			F'''Input value of [number={number}] must be an integer'''
    raise TypeError(UpperCamelCase__    )
  if number < 1:
    _SCREAMING_SNAKE_CASE        =			F'''Input value of [number={number}] must be a positive integer'''
    raise ValueError(UpperCamelCase__    )
  _SCREAMING_SNAKE_CASE        =			[number]
  while number != 1:
    if number % 2 == 0:
      _SCREAMING_SNAKE_CASE        =			math.floor(math.sqrt(UpperCamelCase__    )    )
    else:
      _SCREAMING_SNAKE_CASE        =			math.floor(
          math.sqrt(UpperCamelCase__    ) * math.sqrt(UpperCamelCase__    ) * math.sqrt(UpperCamelCase__    )    )
    sequence.append(UpperCamelCase__    )
  return sequence


if __name__ == "__main__":
    import doctest

    doctest.testmod()
