'''simple docstring'''

from __future__ import annotations

import random
from collections.abc import Iterable
from typing import Any, Generic, TypeVar

__snake_case       :   Dict  		=    TypeVar('''T''', bound=bool)
class 							lowercase_    (     Generic[T]						):







    def __init__(	self       ,     UpperCamelCase__				)				->       None:





     """simple docstring"""

     UpperCAmelCase_				       =					value
     UpperCAmelCase_				       =					None
     UpperCAmelCase_				       =					None







    @property
    def   lowerCamelCase_    (	self				)				->       T:





     """simple docstring"""

     return self._value







    @staticmethod
    def   lowerCamelCase_    (	UpperCamelCase__       ,     UpperCamelCase__				)				->       RandomizedHeapNode[T] | None:





     """simple docstring"""

     if not roota:
      return roota

     if not roota:
      return roota

     if roota.value > roota.value:
      UpperCAmelCase_       ,       UpperCAmelCase_				       =					roota, roota

     if random.choice([True, False]				):
      UpperCAmelCase_       ,       UpperCAmelCase_				       =					roota.right, roota.left

     UpperCAmelCase_				       =					RandomizedHeapNode.merge(roota.left       ,     UpperCamelCase__				)

     return roota


class 							lowercase_    (     Generic[T]						):







    def __init__(	self       ,     UpperCamelCase__ = ()				)				->       None:





     """simple docstring"""

     UpperCAmelCase_				       =					None

     if data:
      for item in data:
       self.insert(UpperCamelCase__				)







    def   lowerCamelCase_    (	self       ,     UpperCamelCase__				)				->       None:





     """simple docstring"""

     UpperCAmelCase_				       =					RandomizedHeapNode.merge(self._root       ,     RandomizedHeapNode(UpperCamelCase__				)				)







    def   lowerCamelCase_    (	self				)				->       T | None:





     """simple docstring"""

     UpperCAmelCase_				       =					self.top()

     if self._root is None:
      return None

     UpperCAmelCase_				       =					RandomizedHeapNode.merge(self._root.left       ,     self._root.right				)

     return result







    def   lowerCamelCase_    (	self				)				->       T:





     """simple docstring"""

     if not self._root:
      raise IndexError("Can't get top element for the empty heap."				)
     return self._root.value







    def   lowerCamelCase_    (	self				)				->       None:





     """simple docstring"""

     UpperCAmelCase_				       =					None







    def   lowerCamelCase_    (	self				)				->       list[Any]:





     """simple docstring"""

     UpperCAmelCase_				       =					[]
     while self:
      result.append(self.pop()				)

     return result







    def __bool__(	self				)				->       bool:





     """simple docstring"""

     return self._root is not None


if __name__ == "__main__":
      import doctest

      doctest.testmod()

'''simple docstring'''

import numpy as np
from PIL import Image



def lowerCamelCase__						(       A_       ):
 UpperCAmelCase_       ,       UpperCAmelCase_       ,       UpperCAmelCase_				       =					rgb[:, :, 0], rgb[:, :, 1], rgb[:, :, 2]
 return 0.2989 * r + 0.5870 * g + 0.1140 * b



def lowerCamelCase__						(       A_       ):
 return (gray > 127) & (gray <= 255)



def lowerCamelCase__						(       A_       ,			A_       ):
 UpperCAmelCase_				       =					np.zeros_like(A_       )
 UpperCAmelCase_				       =					np.zeros(
     (image.shape[0] + kernel.shape[0] - 1, image.shape[1] + kernel.shape[1] - 1)       )

 # Copy image to padded image
 UpperCAmelCase_				       =					image

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


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

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