






'''simple docstring'''






from __future__ import annotations

import math
import random
from typing import Any




class a_    :







			def __init__(self)			->      None:
						"""simple docstring"""






						__snake_case				:      list[Any]     							= []
						__snake_case				:      int     							= 0
						__snake_case				:      int     							= 0







			def     SCREAMING_SNAKE_CASE__					(self)			->      bool:
						"""simple docstring"""






						return self.head == self.tail







			def     SCREAMING_SNAKE_CASE__					(self					,   __a)			->      None:
						"""simple docstring"""






						self.data.append(__a)
						__snake_case				:      Optional[Any]     							= self.tail + 1







			def     SCREAMING_SNAKE_CASE__					(self)			->      Any:
						"""simple docstring"""






						__snake_case				:      Optional[int]     							= self.data[self.head]
						__snake_case				:      Union[str, Any]     							= self.head + 1
						return ret







			def     SCREAMING_SNAKE_CASE__					(self)			->      int:
						"""simple docstring"""






						return self.tail - self.head







			def     SCREAMING_SNAKE_CASE__					(self)			->      None:
						"""simple docstring"""






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




class a_    :







			def __init__(self					,   __a)			->      None:
						"""simple docstring"""






						__snake_case				:      Tuple     							= data
						__snake_case				:      MyNode | None     							= None
						__snake_case				:      MyNode | None     							= None
						__snake_case				:      int     							= 1







			def     SCREAMING_SNAKE_CASE__					(self)			->      Any:
						"""simple docstring"""






						return self.data







			def     SCREAMING_SNAKE_CASE__					(self)			->      MyNode | None:
						"""simple docstring"""






						return self.left







			def     SCREAMING_SNAKE_CASE__					(self)			->      MyNode | None:
						"""simple docstring"""






						return self.right







			def     SCREAMING_SNAKE_CASE__					(self)			->      int:
						"""simple docstring"""






						return self.height







			def     SCREAMING_SNAKE_CASE__					(self					,   __a)			->      None:
						"""simple docstring"""






						__snake_case				:      Optional[int]     							= data







			def     SCREAMING_SNAKE_CASE__					(self					,   __a)			->      None:
						"""simple docstring"""






						__snake_case				:      List[str]     							= node







			def     SCREAMING_SNAKE_CASE__					(self					,   __a)			->      None:
						"""simple docstring"""






						__snake_case				:      Tuple     							= node







			def     SCREAMING_SNAKE_CASE__					(self					,   __a)			->      None:
						"""simple docstring"""






						__snake_case				:      List[str]     							= height




def        _SCREAMING_SNAKE_CASE  (				A  :       MyNode | None  )    -> int:







			"""simple docstring"""
			if node is None:
						return 0
			return node.get_height()




def        _SCREAMING_SNAKE_CASE  (				A  :       int  ,		A  :       int  )    -> int:







			"""simple docstring"""
			if a > b:
						return a
			return b




def        _SCREAMING_SNAKE_CASE  (				A  :       MyNode  )    -> MyNode:







			"""simple docstring"""
			print('left rotation node:'  ,		node.get_data()  )
			__snake_case				:      List[str]     							= node.get_left()
			assert ret is not None
			node.set_left(ret.get_right()  )
			ret.set_right(A  )
			__snake_case				:      Union[str, Any]     							= my_max(get_height(node.get_right()  )  ,		get_height(node.get_left()  )  ) + 1
			node.set_height(A  )
			__snake_case				:      Any     							= my_max(get_height(ret.get_right()  )  ,		get_height(ret.get_left()  )  ) + 1
			ret.set_height(A  )
			return ret




def        _SCREAMING_SNAKE_CASE  (				A  :       MyNode  )    -> MyNode:







			"""simple docstring"""
			print('right rotation node:'  ,		node.get_data()  )
			__snake_case				:      List[str]     							= node.get_right()
			assert ret is not None
			node.set_right(ret.get_left()  )
			ret.set_left(A  )
			__snake_case				:      Optional[Any]     							= my_max(get_height(node.get_right()  )  ,		get_height(node.get_left()  )  ) + 1
			node.set_height(A  )
			__snake_case				:      Optional[int]     							= my_max(get_height(ret.get_right()  )  ,		get_height(ret.get_left()  )  ) + 1
			ret.set_height(A  )
			return ret




def        _SCREAMING_SNAKE_CASE  (				A  :       MyNode  )    -> MyNode:







			"""simple docstring"""
			__snake_case				:      Dict     							= node.get_left()
			assert left_child is not None
			node.set_left(left_rotation(A  )  )
			return right_rotation(A  )




def        _SCREAMING_SNAKE_CASE  (				A  :       MyNode  )    -> MyNode:







			"""simple docstring"""
			__snake_case				:      List[str]     							= node.get_right()
			assert right_child is not None
			node.set_right(right_rotation(A  )  )
			return left_rotation(A  )




def        _SCREAMING_SNAKE_CASE  (				A  :       MyNode | None  ,		A  :       Any  )    -> MyNode | None:







			"""simple docstring"""
			if node is None:
						return MyNode(A  )
			if data < node.get_data():
						node.set_left(insert_node(node.get_left()  ,		A  )  )
						if (
						    get_height(node.get_left()  ) - get_height(node.get_right()  ) == 2
						):  # an unbalance detected
									__snake_case				:      Optional[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
												__snake_case				:      Union[str, Any]     							= right_rotation(A  )
									else:
												__snake_case				:      Any     							= lr_rotation(A  )
			else:
						node.set_right(insert_node(node.get_right()  ,		A  )  )
						if get_height(node.get_right()  ) - get_height(node.get_left()  ) == 2:
									__snake_case				:      Any     							= node.get_right()
									assert right_child is not None
									if data < right_child.get_data():
												__snake_case				:      List[str]     							= rl_rotation(A  )
									else:
												__snake_case				:      Dict     							= left_rotation(A  )
			__snake_case				:      Optional[int]     							= my_max(get_height(node.get_right()  )  ,		get_height(node.get_left()  )  ) + 1
			node.set_height(A  )
			return node




def        _SCREAMING_SNAKE_CASE  (				A  :       MyNode  )    -> Any:







			"""simple docstring"""
			while True:
						__snake_case				:      Optional[int]     							= root.get_right()
						if right_child is None:
									break
						__snake_case				:      Any     							= right_child
			return root.get_data()




def        _SCREAMING_SNAKE_CASE  (				A  :       MyNode  )    -> Any:







			"""simple docstring"""
			while True:
						__snake_case				:      Optional[Any]     							= root.get_left()
						if left_child is None:
									break
						__snake_case				:      Tuple     							= left_child
			return root.get_data()




def        _SCREAMING_SNAKE_CASE  (				A  :       MyNode  ,		A  :       Any  )    -> MyNode | None:







			"""simple docstring"""
			__snake_case				:      Tuple     							= root.get_left()
			__snake_case				:      Union[str, Any]     							= root.get_right()
			if root.get_data() == data:
						if left_child is not None and right_child is not None:
									__snake_case				:      Tuple     							= get_left_most(A  )
									root.set_data(A  )
									root.set_right(del_node(A  ,		A  )  )
						elif left_child is not None:
									__snake_case				:      List[str]     							= left_child
						elif right_child is not None:
									__snake_case				:      Dict     							= 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(A  ,		A  )  )
			else:  # root.get_data() < data
						if right_child is None:
									return root
						else:
									root.set_right(del_node(A  ,		A  )  )

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




class a_    :







			def __init__(self)			->      None:
						"""simple docstring"""






						__snake_case				:      MyNode | None     							= None







			def     SCREAMING_SNAKE_CASE__					(self)			->      int:
						"""simple docstring"""






						return get_height(self.root)







			def     SCREAMING_SNAKE_CASE__					(self					,   __a)			->      None:
						"""simple docstring"""






						print('insert:' + str(__a))
						__snake_case				:      Any     							= insert_node(self.root					,   __a)







			def     SCREAMING_SNAKE_CASE__					(self					,   __a)			->      None:
						"""simple docstring"""






						print('delete:' + str(__a))
						if self.root is None:
									print('Tree is empty!')
									return
						__snake_case				:      Union[str, Any]     							= del_node(self.root					,   __a)







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






						__snake_case				:      List[str]     							= ''
						__snake_case				:      Optional[int]     							= MyQueue()
						q.push(self.root)
						__snake_case				:      Union[str, Any]     							= self.get_height()
						if layer == 0:
									return output
						__snake_case				:      Union[str, Any]     							= 0
						while not q.is_empty():
									__snake_case				:      Dict     							= q.pop()
									__snake_case				:      Tuple     							= ' ' * 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
									__snake_case				:      Optional[Any]     							= cnt + 1
									for i in range(1_0_0):
												if cnt == math.pow(2					,   __a) - 1:
															__snake_case				:      Dict     							= layer - 1
															if layer == 0:
																		output += "\n*************************************"
																		return output
															output += "\n"
															break
						output += "\n*************************************"
						return output




def        _SCREAMING_SNAKE_CASE  (				)    -> None:







			"""simple docstring"""
			import doctest

			doctest.testmod()


if __name__ == "__main__":
						_test()
						__A    	=   AVLtree()
						__A    	=   list(range(1_0))
						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))







'''simple docstring'''






# tests directory-specific settings - this file is run automatically
# by pytest before any tests are run

import sys
import warnings
from os.path import abspath, dirname, join


# allow having multiple repository checkouts and not needing to remember to rerun
# 'pip install -e .[dev]' when switching between checkouts and running tests.
__A    	=   abspath(join(dirname(dirname(__file__)), '''src'''))
sys.path.insert(1, git_repo_path)

# silence FutureWarning warnings in tests since often we can't act on them until
# they become normal warnings - i.e. the tests still need to test the current functionality
warnings.simplefilter(action='''ignore''', category=FutureWarning)




def        _SCREAMING_SNAKE_CASE  (				A  :       Tuple  )    -> str:







   """simple docstring"""
   from diffusers.utils.testing_utils import pytest_addoption_shared

   pytest_addoption_shared(A  )





def        _SCREAMING_SNAKE_CASE  (				A  :       int  )    -> Optional[int]:







   """simple docstring"""
   from diffusers.utils.testing_utils import pytest_terminal_summary_main

   __snake_case				:      Any     							= terminalreporter.config.getoption('--make-reports'  )
   if make_reports:
      pytest_terminal_summary_main(A  ,		id=A  )