



import numpy as np
from PIL import Image
def 						snake_case__							(       __lowercase							)		->		np.array:







						"""simple docstring"""

						A__     ,							A__     ,							A__						:				Tuple         =			rgb[:, :, 0], rgb[:, :, 1], rgb[:, :, 2]
						return 0.2989 * r + 0.5870 * g + 0.1140 * b
def 						snake_case__							(       __lowercase							)		->		np.array:







						"""simple docstring"""

						return (gray > 1_2_7) & (gray <= 2_5_5)
def 						snake_case__							(       __lowercase				,  __lowercase							)		->		np.array:







						"""simple docstring"""

						A__						:				Dict         =			np.zeros_like(__lowercase							)
						A__						:				Dict         =			np.zeros(
						    (image.shape[0] + kernel.shape[0] - 1, image.shape[1] + kernel.shape[1] - 1)							)

						# Copy image to padded image
						A__						:				Optional[Any]         =			image

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


# kernel to be applied
snake_case     :    Optional[Any]						=    np.array([[0, 1, 0], [1, 1, 1], [0, 1, 0]])

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




class 				lowerCAmelCase__	:







					def __init__(							self   :  Union[str, Any]):
											A__						:				Optional[int]         =			[0]
											A__						:				Any         =			0







					def 			_lowercase      (							self   :  Optional[int]      ,		_A   :  int):
											A__						:				Optional[Any]         =			self.__heap[i]
											while i // 2 > 0:
																	if self.__heap[i] > self.__heap[i // 2]:
																							A__						:				Union[str, Any]         =			self.__heap[i // 2]
																							A__						:				List[str]         =			temporary
																	i //= 2







					def 			_lowercase      (							self   :  Union[str, Any]      ,		_A   :  int):
											self.__heap.append(_A)
											self.__size += 1
											self.__swap_up(self.__size)







					def 			_lowercase      (							self   :  Any      ,		_A   :  int):
											while self.__size >= 2 * i:
																	if 2 * i + 1 > self.__size:
																							A__						:				str         =			2 * i
																	else:
																							if self.__heap[2 * i] > self.__heap[2 * i + 1]:
																													A__						:				Tuple         =			2 * i
																							else:
																													A__						:				Tuple         =			2 * i + 1
																	A__						:				Any         =			self.__heap[i]
																	if self.__heap[i] < self.__heap[bigger_child]:
																							A__						:				List[str]         =			self.__heap[bigger_child]
																							A__						:				Tuple         =			temporary
																	A__						:				Tuple         =			bigger_child







					def 			_lowercase      (							self   :  int):
											A__						:				str         =			self.__heap[1]
											A__						:				Tuple         =			self.__heap[self.__size]
											self.__size -= 1
											self.__heap.pop()
											self.__swap_down(1)
											return max_value







					@property
					def 			_lowercase      (							self   :  Any):
											return self.__heap[1:]







					def __len__(							self   :  Union[str, Any]):
											return self.__size


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		# create an instance of BinaryHeap
		snake_case     :    List[Any]						=    BinaryHeap()
		binary_heap.insert(6)
		binary_heap.insert(1_0)
		binary_heap.insert(1_5)
		binary_heap.insert(1_2)
		# pop root(max-values because it is max heap)
		print(binary_heap.pop())  # 15
		print(binary_heap.pop())  # 12
		# get the list and size after operations
		print(binary_heap.get_list)
		print(len(binary_heap))