


from pathlib import Path

import numpy as np
from PIL import Image





def 	_lowerCAmelCase					( UpperCamelCase__:  np.ndarray    )			-> np.ndarray:





	"""simple docstring"""







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





def 	_lowerCAmelCase					( UpperCamelCase__:  np.ndarray    )			-> np.ndarray:





	"""simple docstring"""







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





def 	_lowerCAmelCase					( UpperCamelCase__:  np.ndarray				,       UpperCamelCase__:  np.ndarray    )			-> np.ndarray:





	"""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 > 0    )
	return output


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







def 	_lowerCAmelCase					( UpperCamelCase__:  Union[str, Any]    )			-> Dict:





	"""simple docstring"""







	return [
	    {
	        0: [1, 2],
	        1: [0, 2],
	        2: [0, 1, 3, 5],
	        3: [2, 4],
	        4: [3],
	        5: [2, 6, 8],
	        6: [5, 7],
	        7: [6, 8],
	        8: [5, 7],
	    },
	    {
	        0: [6],
	        1: [9],
	        2: [4, 5],
	        3: [4],
	        4: [2, 3],
	        5: [2],
	        6: [0, 7],
	        7: [6],
	        8: [],
	        9: [1],
	    },
	    {
	        0: [4],
	        1: [6],
	        2: [],
	        3: [5, 6, 7],
	        4: [0, 6],
	        5: [3, 8, 9],
	        6: [1, 3, 4, 7],
	        7: [3, 6, 8, 9],
	        8: [5, 7],
	        9: [5, 7],
	    },
	    {
	        0: [1, 3],
	        1: [0, 2, 4],
	        2: [1, 3, 4],
	        3: [0, 2, 4],
	        4: [1, 2, 3],
	    },
	][index]





def 	_lowerCAmelCase					( UpperCamelCase__:  dict[int, list[int]]    )			-> list[tuple[int, int]]:





	"""simple docstring"""







	A             =					0
	A             =					len(UpperCamelCase__    )  # No of vertices in graph
	A             =					[0] * n
	A             =					[False] * n

	def dfs(UpperCamelCase__:  Union[str, Any]				,       UpperCamelCase__:  str				,       UpperCamelCase__:  Union[str, Any]				,       UpperCamelCase__:  Any    ):
		A             =					True
		A             =					id_
		id_ += 1
		for to in graph[at]:
			if to == parent:
				pass
			elif not visited[to]:
				dfs(UpperCamelCase__				,       UpperCamelCase__				,       UpperCamelCase__				,       id_    )
				A             =					min(low[at]				,       low[to]    )
				if id_ <= low[to]:
					bridges.append((at, to) if at < to else (to, at)    )
			else:
				# This edge is a back edge and cannot be a bridge
				A             =					min(low[at]				,       low[to]    )

	A             =					[]
	for i in range(UpperCamelCase__    ):
		if not visited[i]:
			dfs(UpperCamelCase__				,       -1				,       UpperCamelCase__				,       id_    )
	return bridges


if __name__ == "__main__":
				import doctest

				doctest.testmod()



