

from __future__ import annotations

import math
import random
from typing import Any



class 					_a		:


					'''simple docstring'''






					def __init__(				self    ):
						A__							:					Optional[Any]       =	[]
						A__							:					List[Any]       =	0
						A__							:					List[Any]       =	0






					def 						__A    (				self    ):
						return self.head == self.tail






					def 						__A    (				self					, A__    ):
						self.data.append(A__    )
						A__							:					List[str]       =	self.tail + 1






					def 						__A    (				self    ):
						A__							:					List[Any]       =	self.data[self.head]
						A__							:					str       =	self.head + 1
						return ret






					def 						__A    (				self    ):
						return self.tail - self.head






					def 						__A    (				self    ):
						print(self.data    )
						print("""**************"""    )
						print(self.data[self.head : self.tail]    )



class 					_a		:


					'''simple docstring'''






					def __init__(				self					, A__    ):
						A__							:					List[Any]       =	data
						A__							:					int       =	None
						A__							:					Optional[int]       =	None
						A__							:					List[str]       =	1






					def 						__A    (				self    ):
						return self.data






					def 						__A    (				self    ):
						return self.left






					def 						__A    (				self    ):
						return self.right






					def 						__A    (				self    ):
						return self.height






					def 						__A    (				self					, A__    ):
						A__							:					List[str]       =	data






					def 						__A    (				self					, A__    ):
						A__							:					int       =	node






					def 						__A    (				self					, A__    ):
						A__							:					Any       =	node






					def 						__A    (				self					, A__    ):
						A__							:					Dict       =	height



def 		UpperCamelCase      (lowercase_:				Tuple      )  ->   int:
	if node is None:
		return 0
	return node.get_height()

def 		UpperCamelCase      (lowercase_:				Any					,   lowercase_:				str      )  ->   int:
	if a > b:
		return a
	return b

def 		UpperCamelCase      (lowercase_:				Union[str, Any]      )  ->   MyNode:
	print("""left rotation node:"""					,   node.get_data()      )
	A__							:					Any       =	node.get_left()
	assert ret is not None
	node.set_left(ret.get_right()      )
	ret.set_right(__SCREAMING_SNAKE_CASE      )
	A__							:					Union[str, Any]       =	my_max(get_height(node.get_right()      )					,   get_height(node.get_left()      )      ) + 1
	node.set_height(__SCREAMING_SNAKE_CASE      )
	A__							:					str       =	my_max(get_height(ret.get_right()      )					,   get_height(ret.get_left()      )      ) + 1
	ret.set_height(__SCREAMING_SNAKE_CASE      )
	return ret

def 		UpperCamelCase      (lowercase_:				str      )  ->   MyNode:
	print("""right rotation node:"""					,   node.get_data()      )
	A__							:					List[Any]       =	node.get_right()
	assert ret is not None
	node.set_right(ret.get_left()      )
	ret.set_left(__SCREAMING_SNAKE_CASE      )
	A__							:					str       =	my_max(get_height(node.get_right()      )					,   get_height(node.get_left()      )      ) + 1
	node.set_height(__SCREAMING_SNAKE_CASE      )
	A__							:					Any       =	my_max(get_height(ret.get_right()      )					,   get_height(ret.get_left()      )      ) + 1
	ret.set_height(__SCREAMING_SNAKE_CASE      )
	return ret

def 		UpperCamelCase      (lowercase_:				List[Any]      )  ->   MyNode:
	A__							:					str       =	node.get_left()
	assert left_child is not None
	node.set_left(left_rotation(__SCREAMING_SNAKE_CASE      )      )
	return right_rotation(__SCREAMING_SNAKE_CASE      )

def 		UpperCamelCase      (lowercase_:				Union[str, Any]      )  ->   MyNode:
	A__							:					Tuple       =	node.get_right()
	assert right_child is not None
	node.set_right(right_rotation(__SCREAMING_SNAKE_CASE      )      )
	return left_rotation(__SCREAMING_SNAKE_CASE      )

def 		UpperCamelCase      (lowercase_:				str					,   lowercase_:				Optional[int]      )  ->   MyNode | None:
	if node is None:
		return MyNode(__SCREAMING_SNAKE_CASE      )
	if data < node.get_data():
		node.set_left(insert_node(node.get_left()					,   __SCREAMING_SNAKE_CASE      )      )
		if (
		    get_height(node.get_left()      ) - get_height(node.get_right()      ) == 2
		):  # an unbalance detected
			A__							:					Union[str, Any]       =	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
				A__							:					List[Any]       =	right_rotation(__SCREAMING_SNAKE_CASE      )
			else:
				A__							:					int       =	lr_rotation(__SCREAMING_SNAKE_CASE      )
	else:
		node.set_right(insert_node(node.get_right()					,   __SCREAMING_SNAKE_CASE      )      )
		if get_height(node.get_right()      ) - get_height(node.get_left()      ) == 2:
			A__							:					List[str]       =	node.get_right()
			assert right_child is not None
			if data < right_child.get_data():
				A__							:					Any       =	rl_rotation(__SCREAMING_SNAKE_CASE      )
			else:
				A__							:					str       =	left_rotation(__SCREAMING_SNAKE_CASE      )
	A__							:					Union[str, Any]       =	my_max(get_height(node.get_right()      )					,   get_height(node.get_left()      )      ) + 1
	node.set_height(__SCREAMING_SNAKE_CASE      )
	return node

def 		UpperCamelCase      (lowercase_:				Dict      )  ->   Any:
	while True:
		A__							:					int       =	root.get_right()
		if right_child is None:
			break
		A__							:					Optional[int]       =	right_child
	return root.get_data()

def 		UpperCamelCase      (lowercase_:				List[str]      )  ->   Any:
	while True:
		A__							:					Dict       =	root.get_left()
		if left_child is None:
			break
		A__							:					Optional[int]       =	left_child
	return root.get_data()

def 		UpperCamelCase      (lowercase_:				Union[str, Any]					,   lowercase_:				Optional[int]      )  ->   MyNode | None:
	A__							:					Optional[int]       =	root.get_left()
	A__							:					Optional[int]       =	root.get_right()
	if root.get_data() == data:
		if left_child is not None and right_child is not None:
			A__							:					str       =	get_left_most(__SCREAMING_SNAKE_CASE      )
			root.set_data(__SCREAMING_SNAKE_CASE      )
			root.set_right(del_node(__SCREAMING_SNAKE_CASE					,   __SCREAMING_SNAKE_CASE      )      )
		elif left_child is not None:
			A__							:					Optional[int]       =	left_child
		elif right_child is not None:
			A__							:					List[str]       =	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(__SCREAMING_SNAKE_CASE					,   __SCREAMING_SNAKE_CASE      )      )
	else:  # root.get_data() < data
		if right_child is None:
			return root
		else:
			root.set_right(del_node(__SCREAMING_SNAKE_CASE					,   __SCREAMING_SNAKE_CASE      )      )

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



class 					_a		:


					'''simple docstring'''






					def __init__(				self    ):
						A__							:					Any       =	None






					def 						__A    (				self    ):
						return get_height(self.root    )






					def 						__A    (				self					, A__    ):
						print("""insert:""" + str(A__    )    )
						A__							:					str       =	insert_node(self.root					, A__    )






					def 						__A    (				self					, A__    ):
						print("""delete:""" + str(A__    )    )
						if self.root is None:
							print("""Tree is empty!"""    )
							return
						A__							:					Optional[int]       =	del_node(self.root					, A__    )






					def __str__(				self					, ):  # a level traversale, gives a more intuitive look on the tree
						A__							:					int       =	""""""
						A__							:					int       =	MyQueue()
						q.push(self.root    )
						A__							:					Optional[int]       =	self.get_height()
						if layer == 0:
							return output
						A__							:					List[str]       =	0
						while not q.is_empty():
							A__							:					List[Any]       =	q.pop()
							A__							:					List[str]       =	""" """ * int(math.pow(2					, layer - 1    )    )
							output += space
							if node is None:
								output += "*"
								q.push(A__    )
								q.push(A__    )
							else:
								output += str(node.get_data()    )
								q.push(node.get_left()    )
								q.push(node.get_right()    )
							output += space
							A__							:					List[Any]       =	cnt + 1
							for i in range(100    ):
								if cnt == math.pow(2					, A__    ) - 1:
									A__							:					int       =	layer - 1
									if layer == 0:
										output += "\n*************************************"
										return output
									output += "\n"
									break
						output += "\n*************************************"
						return output



def 		UpperCamelCase      ()  ->   None:
	import doctest

	doctest.testmod()


if __name__ == "__main__":
				_test()
				A_ :				Optional[Any]						 =    AVLtree()
				A_ :				List[str]						 =    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))






import inspect
import warnings
from typing import Any, Dict, Optional, Union

from packaging import version

def 		UpperCamelCase      (*lowercase_:				Optional[int]					,   lowercase_:				Optional[Union[Dict, Any]] = None					,   lowercase_:				Dict=True					,   lowercase_:				Tuple=2      )  ->   Dict:
	from .. import __version__

	A__							:					Dict       =	take_from
	A__							:					str       =	()
	if not isinstance(args[0]					,   lowercase_      ):
		A__							:					int       =	(args,)

	for attribute, version_name, message in args:
		if version.parse(version.parse(lowercase_      ).base_version      ) >= version.parse(lowercase_      ):
			raise ValueError(
			    f"""The deprecation tuple {(attribute, version_name, message)} should be removed since diffusers'"""
			    f""" version {__version__} is >= {version_name}"""      )

		A__							:					Any       =	None
		if isinstance(lowercase_					,   lowercase_      ) and attribute in deprecated_kwargs:
			values += (deprecated_kwargs.pop(lowercase_      ),)
			A__							:					List[str]       =	f"""The `{attribute}` argument is deprecated and will be removed in version {version_name}."""
		elif hasattr(lowercase_					,   lowercase_      ):
			values += (getattr(lowercase_					,   lowercase_      ),)
			A__							:					Optional[Any]       =	f"""The `{attribute}` attribute is deprecated and will be removed in version {version_name}."""
		elif deprecated_kwargs is None:
			A__							:					int       =	f"""`{attribute}` is deprecated and will be removed in version {version_name}."""

		if warning is not None:
			A__							:					int       =	warning + """ """ if standard_warn else """"""
			warnings.warn(warning + message					,   lowercase_					,   stacklevel=lowercase_      )

	if isinstance(lowercase_					,   lowercase_      ) and len(lowercase_      ) > 0:
		A__							:					Union[str, Any]       =	inspect.getouterframes(inspect.currentframe()      )[1]
		A__							:					Optional[Any]       =	call_frame.filename
		A__							:					Optional[int]       =	call_frame.lineno
		A__							:					Any       =	call_frame.function
		A__     ,     A__							:					List[str]       =	next(iter(deprecated_kwargs.items()      )      )
		raise TypeError(f"""{function} in {filename} line {line_number-1} got an unexpected keyword argument `{key}`"""      )

	if len(lowercase_      ) == 0:
		return
	elif len(lowercase_      ) == 1:
		return values[0]
	return values



