





from __future__ import annotations

import math
import random
from typing import Any
class SCREAMING_SNAKE_CASE_  :






						def __init__( self : List[Any]		)							->      List[str]:







							"""simple docstring"""


							snake_case_						:     List[str]     =		[]
							snake_case_						:     Optional[Any]     =		0
							snake_case_						:     Optional[int]     =		0






						def UpperCAmelCase_			( self : int		)							->      Union[str, Any]:







							"""simple docstring"""


							return self.head == self.tail






						def UpperCAmelCase_			( self : str						,				_A : str		)							->      List[str]:







							"""simple docstring"""


							self.data.append(__lowerCAmelCase		)
							snake_case_						:     Optional[int]     =		self.tail + 1






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







							"""simple docstring"""


							snake_case_						:     List[Any]     =		self.data[self.head]
							snake_case_						:     int     =		self.head + 1
							return ret






						def UpperCAmelCase_			( self : Any		)							->      Any:







							"""simple docstring"""


							return self.tail - self.head






						def UpperCAmelCase_			( self : List[Any]		)							->      List[str]:







							"""simple docstring"""


							print(self.data		)
							print('**************'		)
							print(self.data[self.head : self.tail]		)
class SCREAMING_SNAKE_CASE_  :






						def __init__( self : Tuple						,				_A : Union[str, Any]		)							->      List[str]:







							"""simple docstring"""


							snake_case_						:     List[str]     =		data
							snake_case_						:     List[str]     =		None
							snake_case_						:     str     =		None
							snake_case_						:     Any     =		1






						def UpperCAmelCase_			( self : int		)							->      Dict:







							"""simple docstring"""


							return self.data






						def UpperCAmelCase_			( self : int		)							->      int:







							"""simple docstring"""


							return self.left






						def UpperCAmelCase_			( self : Union[str, Any]		)							->      List[Any]:







							"""simple docstring"""


							return self.right






						def UpperCAmelCase_			( self : Any		)							->      List[str]:







							"""simple docstring"""


							return self.height






						def UpperCAmelCase_			( self : str						,				_A : Union[str, Any]		)							->      List[Any]:







							"""simple docstring"""


							snake_case_						:     Dict     =		data






						def UpperCAmelCase_			( self : Optional[int]						,				_A : List[str]		)							->      List[str]:







							"""simple docstring"""


							snake_case_						:     int     =		node






						def UpperCAmelCase_			( self : Any						,				_A : str		)							->      Union[str, Any]:







							"""simple docstring"""


							snake_case_						:     List[Any]     =		node






						def UpperCAmelCase_			( self : str						,				_A : Union[str, Any]		)							->      Optional[int]:







							"""simple docstring"""


							snake_case_						:     List[str]     =		height


def 							SCREAMING_SNAKE_CASE__  (      __a				):


	if node is None:
		return 0
	return node.get_height()


def 							SCREAMING_SNAKE_CASE__  (      __a				,	__a				):


	if a > b:
		return a
	return b


def 							SCREAMING_SNAKE_CASE__  (      __a				):
	print('left rotation node:'				,	node.get_data()				)
	snake_case_						:     int     =		node.get_left()
	assert ret is not None
	node.set_left(ret.get_right()				)
	ret.set_right(lowerCAmelCase__				)
	snake_case_						:     List[str]     =		my_max(get_height(node.get_right()				)				,	get_height(node.get_left()				)				) + 1
	node.set_height(lowerCAmelCase__				)
	snake_case_						:     Optional[int]     =		my_max(get_height(ret.get_right()				)				,	get_height(ret.get_left()				)				) + 1
	ret.set_height(lowerCAmelCase__				)
	return ret


def 							SCREAMING_SNAKE_CASE__  (      __a				):
	print('right rotation node:'				,	node.get_data()				)
	snake_case_						:     Any     =		node.get_right()
	assert ret is not None
	node.set_right(ret.get_left()				)
	ret.set_left(lowerCAmelCase__				)
	snake_case_						:     Dict     =		my_max(get_height(node.get_right()				)				,	get_height(node.get_left()				)				) + 1
	node.set_height(lowerCAmelCase__				)
	snake_case_						:     Optional[int]     =		my_max(get_height(ret.get_right()				)				,	get_height(ret.get_left()				)				) + 1
	ret.set_height(lowerCAmelCase__				)
	return ret


def 							SCREAMING_SNAKE_CASE__  (      __a				):
	snake_case_						:     Union[str, Any]     =		node.get_left()
	assert left_child is not None
	node.set_left(left_rotation(lowerCAmelCase__				)				)
	return right_rotation(lowerCAmelCase__				)


def 							SCREAMING_SNAKE_CASE__  (      __a				):
	snake_case_						:     str     =		node.get_right()
	assert right_child is not None
	node.set_right(right_rotation(lowerCAmelCase__				)				)
	return left_rotation(lowerCAmelCase__				)


def 							SCREAMING_SNAKE_CASE__  (      __a				,	__a				):


	if node is None:
		return MyNode(lowerCAmelCase__				)
	if data < node.get_data():
		node.set_left(insert_node(node.get_left()				,	lowerCAmelCase__				)				)
		if (
		    get_height(node.get_left()				) - get_height(node.get_right()				) == 2
		):  # an unbalance detected
			snake_case_						:     Dict     =		node.get_left()
			assert left_child is not None
			if (
			    data < left_child.get_data()
			):  # new node is the left child of the left child
				snake_case_						:     List[Any]     =		right_rotation(lowerCAmelCase__				)
			else:
				snake_case_						:     Dict     =		lr_rotation(lowerCAmelCase__				)
	else:
		node.set_right(insert_node(node.get_right()				,	lowerCAmelCase__				)				)
		if get_height(node.get_right()				) - get_height(node.get_left()				) == 2:
			snake_case_						:     str     =		node.get_right()
			assert right_child is not None
			if data < right_child.get_data():
				snake_case_						:     List[str]     =		rl_rotation(lowerCAmelCase__				)
			else:
				snake_case_						:     Optional[int]     =		left_rotation(lowerCAmelCase__				)
	snake_case_						:     List[Any]     =		my_max(get_height(node.get_right()				)				,	get_height(node.get_left()				)				) + 1
	node.set_height(lowerCAmelCase__				)
	return node


def 							SCREAMING_SNAKE_CASE__  (      __a				):


	while True:
		snake_case_						:     str     =		root.get_right()
		if right_child is None:
			break
		snake_case_						:     Union[str, Any]     =		right_child
	return root.get_data()


def 							SCREAMING_SNAKE_CASE__  (      __a				):


	while True:
		snake_case_						:     List[Any]     =		root.get_left()
		if left_child is None:
			break
		snake_case_						:     Optional[int]     =		left_child
	return root.get_data()


def 							SCREAMING_SNAKE_CASE__  (      __a				,	__a				):
	snake_case_						:     Tuple     =		root.get_left()
	snake_case_						:     Tuple     =		root.get_right()
	if root.get_data() == data:
		if left_child is not None and right_child is not None:
			snake_case_						:     Dict     =		get_left_most(lowerCAmelCase__				)
			root.set_data(lowerCAmelCase__				)
			root.set_right(del_node(lowerCAmelCase__				,	lowerCAmelCase__				)				)
		elif left_child is not None:
			snake_case_						:     List[Any]     =		left_child
		elif right_child is not None:
			snake_case_						:     List[Any]     =		right_child
		else:
			return None
	elif root.get_data() > data:
		if left_child is None:
			print('No such data'				)
			return root
		else:
			root.set_left(del_node(lowerCAmelCase__				,	lowerCAmelCase__				)				)
	else:  # root.get_data() < data
		if right_child is None:
			return root
		else:
			root.set_right(del_node(lowerCAmelCase__				,	lowerCAmelCase__				)				)

	if get_height(lowerCAmelCase__				) - get_height(lowerCAmelCase__				) == 2:
		assert right_child is not None
		if get_height(right_child.get_right()				) > get_height(right_child.get_left()				):
			snake_case_						:     Optional[Any]     =		left_rotation(lowerCAmelCase__				)
		else:
			snake_case_						:     Tuple     =		rl_rotation(lowerCAmelCase__				)
	elif get_height(lowerCAmelCase__				) - get_height(lowerCAmelCase__				) == -2:
		assert left_child is not None
		if get_height(left_child.get_left()				) > get_height(left_child.get_right()				):
			snake_case_						:     str     =		right_rotation(lowerCAmelCase__				)
		else:
			snake_case_						:     Any     =		lr_rotation(lowerCAmelCase__				)
	snake_case_						:     List[Any]     =		my_max(get_height(root.get_right()				)				,	get_height(root.get_left()				)				) + 1
	root.set_height(lowerCAmelCase__				)
	return root
class SCREAMING_SNAKE_CASE_  :






						def __init__( self : Union[str, Any]		)							->      int:







							"""simple docstring"""


							snake_case_						:     Union[str, Any]     =		None






						def UpperCAmelCase_			( self : str		)							->      Tuple:







							"""simple docstring"""


							return get_height(self.root		)






						def UpperCAmelCase_			( self : Optional[Any]						,				_A : List[str]		)							->      str:







							"""simple docstring"""


							print('insert:' + str(__lowerCAmelCase		)		)
							snake_case_						:     Optional[Any]     =		insert_node(self.root						,				__lowerCAmelCase		)






						def UpperCAmelCase_			( self : int						,				_A : int		)							->      Union[str, Any]:







							"""simple docstring"""


							print('delete:' + str(__lowerCAmelCase		)		)
							if self.root is None:
								print('Tree is empty!'		)
								return
							snake_case_						:     Optional[int]     =		del_node(self.root						,				__lowerCAmelCase		)






						def __str__( self : Dict						,				)							->      Dict:  # a level traversale, gives a more intuitive look on the tree







							"""simple docstring"""


							snake_case_						:     Optional[Any]     =		''
							snake_case_						:     Optional[int]     =		MyQueue()
							q.push(self.root		)
							snake_case_						:     str     =		self.get_height()
							if layer == 0:
								return output
							snake_case_						:     List[str]     =		0
							while not q.is_empty():
								snake_case_						:     Any     =		q.pop()
								snake_case_						:     Tuple     =		' ' * int(math.pow(2						,				layer - 1		)		)
								output += space
								if node is None:
									output += "*"
									q.push(__lowerCAmelCase		)
									q.push(__lowerCAmelCase		)
								else:
									output += str(node.get_data()		)
									q.push(node.get_left()		)
									q.push(node.get_right()		)
								output += space
								snake_case_						:     Union[str, Any]     =		cnt + 1
								for i in range(100		):
									if cnt == math.pow(2						,				__lowerCAmelCase		) - 1:
										snake_case_						:     List[Any]     =		layer - 1
										if layer == 0:
											output += "\n*************************************"
											return output
										output += "\n"
										break
							output += "\n*************************************"
							return output


def 							SCREAMING_SNAKE_CASE__  (      ):
	import doctest

	doctest.testmod()


if __name__ == "__main__":
					_test()
					_SCREAMING_SNAKE_CASE 		=						AVLtree()
					_SCREAMING_SNAKE_CASE 		=						list(range(10))
					random.shuffle(lst)
					for i in lst:
										t.insert(i)
										print(str(t))
					random.shuffle(lst)
					for i in lst:
										t.del_node(i)
										print(str(t))








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()

