


"""simple docstring"""


import numpy as np
from PIL import Image






def    a__       ( __lowercase      )		->		np.array:
				_A     ,						_A     ,						_A         =	rgb[:, :, 0], rgb[:, :, 1], rgb[:, :, 2]
				return 0.2_989 * r + 0.5_870 * g + 0.1_140 * b






def    a__       ( __lowercase      )		->		np.array:
				return (gray > 127) & (gray <= 255)






def    a__       ( __lowercase   ,	__lowercase      )		->		np.array:
				_A         =	np.zeros_like(__lowercase      )
				_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_											=			np.array([[0, 1, 0], [1, 1, 1], [0, 1, 0]])

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



"""simple docstring"""


import math
from decimal import Decimal, getcontext






def    a__       ( __lowercase = 400_0000      )		->		int:

				try:
								_A         =	int(__lowercase      )
				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."      )
				_A         =	100
				_A         =	(Decimal(5      ) ** Decimal(0.5      ) + 1) / Decimal(2      )

				_A         =	(math.floor(math.log(n * (phi + 2)   ,	__lowercase      ) - 1      ) // 3) * 3 + 2
				_A         =	Decimal(round(phi ** Decimal(index + 1      )      )      ) / (phi + 2)
				_A         =	num // 2
				return int(__lowercase      )


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