





from collections.abc import Iterable
from typing import Any
class SCREAMING_SNAKE_CASE_  :






						def __init__( self : Optional[int]						,				_A : int | None = None		)							->      Dict:







							"""simple docstring"""


							snake_case_						:     Dict     =		value
							snake_case_						:     Node | None     =		None  # Added in order to delete a node easier
							snake_case_						:     Node | None     =		None
							snake_case_						:     Node | None     =		None






						def __repr__( self : List[str]		)							->      str:







							"""simple docstring"""


							from pprint import pformat

							if self.left is None and self.right is None:
								return str(self.value		)
							return pformat({F"""{self.value}""": (self.left, self.right)}						,				indent=1		)
class SCREAMING_SNAKE_CASE_  :






						def __init__( self : str						,				_A : Node | None = None		)							->      Optional[int]:







							"""simple docstring"""


							snake_case_						:     str     =		root






						def __str__( self : Optional[Any]		)							->      str:







							"""simple docstring"""


							return str(self.root		)






						def UpperCAmelCase_			( self : str						,				_A : Node						,				_A : Node | None		)							->      None:







							"""simple docstring"""


							if new_children is not None:  # reset its kids
								snake_case_						:     Tuple     =		node.parent
							if node.parent is not None:  # reset its parent
								if self.is_right(_A		):  # If it is the right children
									snake_case_						:     Optional[Any]     =		new_children
								else:
									snake_case_						:     Dict     =		new_children
							else:
								snake_case_						:     Tuple     =		new_children






						def UpperCAmelCase_			( self : Tuple						,				_A : Node		)							->      bool:







							"""simple docstring"""


							if node.parent and node.parent.right:
								return node == node.parent.right
							return False






						def UpperCAmelCase_			( self : Optional[int]		)							->      bool:







							"""simple docstring"""


							return self.root is None






						def UpperCAmelCase_			( self : Any						,				_A : Optional[int]		)							->      None:







							"""simple docstring"""


							snake_case_						:     Any     =		Node(_A		)  # create a new Node
							if self.empty():  # if Tree is empty
								snake_case_						:     Dict     =		new_node  # set its root
							else:  # Tree is not empty
								snake_case_						:     Optional[Any]     =		self.root  # from root
								if parent_node is None:
									return
								while True:  # While we don't get to a leaf
									if value < parent_node.value:  # We go left
										if parent_node.left is None:
											snake_case_						:     Tuple     =		new_node  # We insert the new node in a leaf
											break
										else:
											snake_case_						:     str     =		parent_node.left
									else:
										if parent_node.right is None:
											snake_case_						:     Union[str, Any]     =		new_node
											break
										else:
											snake_case_						:     int     =		parent_node.right
								snake_case_						:     Optional[int]     =		parent_node






						def UpperCAmelCase_			( self : Optional[int]						,				*_A : int		)							->      None:







							"""simple docstring"""


							for value in values:
								self.__insert(_A		)






						def UpperCAmelCase_			( self : Dict						,				_A : Optional[int]		)							->      Node | None:







							"""simple docstring"""


							if self.empty():
								raise IndexError('Warning: Tree is empty! please use another.'		)
							else:
								snake_case_						:     List[str]     =		self.root
								# use lazy evaluation here to avoid NoneType Attribute error
								while node is not None and node.value is not value:
									snake_case_						:     Dict     =		node.left if value < node.value else node.right
								return node






						def UpperCAmelCase_			( self : Optional[Any]						,				_A : Node | None = None		)							->      Node | None:







							"""simple docstring"""


							if node is None:
								if self.root is None:
									return None
								snake_case_						:     List[str]     =		self.root

							if not self.empty():
								while node.right is not None:
									snake_case_						:     Optional[int]     =		node.right
							return node






						def UpperCAmelCase_			( self : Tuple						,				_A : Node | None = None		)							->      Node | None:







							"""simple docstring"""


							if node is None:
								snake_case_						:     int     =		self.root
							if self.root is None:
								return None
							if not self.empty():
								snake_case_						:     List[str]     =		self.root
								while node.left is not None:
									snake_case_						:     int     =		node.left
							return node






						def UpperCAmelCase_			( self : int						,				_A : int		)							->      None:







							"""simple docstring"""


							snake_case_						:     Dict     =		self.search(_A		)  # Look for the node with that label
							if node is not None:
								if node.left is None and node.right is None:  # If it has no children
									self.__reassign_nodes(_A						,				_A		)
								elif node.left is None:  # Has only right children
									self.__reassign_nodes(_A						,				node.right		)
								elif node.right is None:  # Has only left children
									self.__reassign_nodes(_A						,				node.left		)
								else:
									snake_case_						:     Tuple     =		self.get_max(
									    node.left		)  # Gets the max value of the left branch
									self.remove(tmp_node.value		)  # type: ignore
									snake_case_						:     Dict     =		(
									    tmp_node.value  # type: ignore
									)  # Assigns the value to the node to delete and keep tree structure






						def UpperCAmelCase_			( self : Optional[Any]						,				_A : Node | None		)							->      Iterable:







							"""simple docstring"""


							if node is not None:
								yield node  # Preorder Traversal
								yield from self.preorder_traverse(node.left		)
								yield from self.preorder_traverse(node.right		)






						def UpperCAmelCase_			( self : Tuple						,				_A : Tuple=None		)							->      Any:







							"""simple docstring"""


							if traversal_function is None:
								return self.preorder_traverse(self.root		)
							else:
								return traversal_function(self.root		)






						def UpperCAmelCase_			( self : int						,				_A : list						,				_A : Node | None		)							->      None:







							"""simple docstring"""


							if node:
								self.inorder(_A						,				node.left		)
								arr.append(node.value		)
								self.inorder(_A						,				node.right		)






						def UpperCAmelCase_			( self : str						,				_A : int						,				_A : Node		)							->      int:







							"""simple docstring"""


							snake_case_						:     list[int]     =		[]
							self.inorder(_A						,				_A		)  # append all values to list using inorder traversal
							return arr[k - 1]


def 							SCREAMING_SNAKE_CASE__  (      __a				):
	snake_case_						:     List[Any]     =		[]
	if curr_node is not None:
		snake_case_						:     Dict     =		postorder(curr_node.left				) + postorder(curr_node.right				) + [curr_node]
	return node_list


def 							SCREAMING_SNAKE_CASE__  (      ):
	snake_case_						:     Any     =		(8, 3, 6, 1, 10, 14, 13, 4, 7)
	snake_case_						:     Any     =		BinarySearchTree()
	for i in testlist:
		t.insert(__a				)

	# Prints all the elements of the list in order traversal
	print(__a				)

	if t.search(6				) is not None:
		print('The value 6 exists'				)
	else:
		print('The value 6 doesn\'t exist'				)

	if t.search(-1				) is not None:
		print('The value -1 exists'				)
	else:
		print('The value -1 doesn\'t exist'				)

	if not t.empty():
		print('Max Value: '				,	t.get_max().value				)  # type: ignore
		print('Min Value: '				,	t.get_min().value				)  # type: ignore

	for i in testlist:
		t.remove(__a				)
		print(__a				)


if __name__ == "__main__":
						import doctest

						doctest.testmod(verbose=True)








from itertools import product

from cva import COLOR_BGR2GRAY, cvtColor, imread, imshow, waitKey
from numpy import dot, exp, mgrid, pi, ravel, square, uinta, zeros


def 							SCREAMING_SNAKE_CASE__  (      __a				,	__a				):
	snake_case_						:     List[Any]     =		k_size // 2
	snake_case_  ,snake_case_						:     Any     =		mgrid[0 - center : k_size - center, 0 - center : k_size - center]
	snake_case_						:     Optional[Any]     =		1 / (2 * pi * sigma) * exp(-(square(__a				) + square(__a				)) / (2 * square(__a				))				)
	return g


def 							SCREAMING_SNAKE_CASE__  (      __a				,	__a				,	__a				):
	snake_case_  ,snake_case_						:     Union[str, Any]     =		image.shape[0], image.shape[1]
	# dst image height and width
	snake_case_						:     int     =		height - k_size + 1
	snake_case_						:     Optional[int]     =		width - k_size + 1

	# im2col, turn the k_size*k_size pixels into a row and np.vstack all rows
	snake_case_						:     Optional[Any]     =		zeros((dst_height * dst_width, k_size * k_size)				)
	snake_case_						:     Tuple     =		0
	for i, j in product(range(__a				)				,	range(__a				)				):
		snake_case_						:     Optional[int]     =		ravel(image[i : i + k_size, j : j + k_size]				)
		snake_case_						:     str     =		window
		row += 1

	#  turn the kernel into shape(k*k, 1)
	snake_case_						:     List[Any]     =		gen_gaussian_kernel(__a				,	__a				)
	snake_case_						:     str     =		ravel(__a				)

	# reshape and get the dst image
	snake_case_						:     Optional[int]     =		dot(__a				,	__a				).reshape(__a				,	__a				).astype(__a				)

	return dst


if __name__ == "__main__":
						# read original image
						_SCREAMING_SNAKE_CASE 		=						imread(R"""../image_data/lena.jpg""")
						# turn image in gray scale value
						_SCREAMING_SNAKE_CASE 		=						cvtColor(img, COLOR_BGR2GRAY)

						# get values with two different mask size
						_SCREAMING_SNAKE_CASE 		=						gaussian_filter(gray, 3, sigma=1)
						_SCREAMING_SNAKE_CASE 		=						gaussian_filter(gray, 5, sigma=0.8)

						# show result images
						imshow("""gaussian filter with 3x3 mask""", gaussianaxa)
						imshow("""gaussian filter with 5x5 mask""", gaussianaxa)
						waitKey()

