"""simple docstring"""






from __future__ import annotations

import math
import random
from typing import Any





class  _A						:

      def __init__(						self						):







            """simple docstring"""



            lowercase														=	[]
            lowercase														=	0
            lowercase														=	0

      def 				A__       (						self						):







            """simple docstring"""



            return self.head == self.tail

      def 				A__       (						self		,       __lowerCAmelCase						):







            """simple docstring"""



            self.data.append(__lowerCAmelCase						)
            lowercase														=	self.tail + 1

      def 				A__       (						self						):







            """simple docstring"""



            lowercase														=	self.data[self.head]
            lowercase														=	self.head + 1
            return ret

      def 				A__       (						self						):







            """simple docstring"""



            return self.tail - self.head







      def 				A__       (						self						):







            """simple docstring"""



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






class  _A						:

      def __init__(						self		,       __lowerCAmelCase						):







            """simple docstring"""



            lowercase														=	data
            lowercase														=	None
            lowercase														=	None
            lowercase														=	1

      def 				A__       (						self						):







            """simple docstring"""



            return self.data

      def 				A__       (						self						):







            """simple docstring"""



            return self.left

      def 				A__       (						self						):







            """simple docstring"""



            return self.right

      def 				A__       (						self						):







            """simple docstring"""



            return self.height

      def 				A__       (						self		,       __lowerCAmelCase						):







            """simple docstring"""



            lowercase														=	data

      def 				A__       (						self		,       __lowerCAmelCase						):







            """simple docstring"""



            lowercase														=	node

      def 				A__       (						self		,       __lowerCAmelCase						):







            """simple docstring"""



            lowercase														=	node







      def 				A__       (						self		,       __lowerCAmelCase						):







            """simple docstring"""



            lowercase														=	height






def 			UpperCAmelCase__       (				lowerCAmelCase__     :MyNode | None		) ->    int:
      '''simple docstring'''


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


def 			UpperCAmelCase__       (				lowerCAmelCase__     :int					,		lowerCAmelCase__     :int		) ->    int:
      '''simple docstring'''


      if a > b:
            return a
      return b


def 			UpperCAmelCase__       (				lowerCAmelCase__     :MyNode		) ->    MyNode:
      '''simple docstring'''


      print("""left rotation node:"""					,		node.get_data()		)
      lowercase														=	node.get_left()
      assert ret is not None
      node.set_left(ret.get_right()		)
      ret.set_right(lowerCAmelCase__		)
      lowercase														=	my_max(get_height(node.get_right()		)					,		get_height(node.get_left()		)		) + 1
      node.set_height(lowerCAmelCase__		)
      lowercase														=	my_max(get_height(ret.get_right()		)					,		get_height(ret.get_left()		)		) + 1
      ret.set_height(lowerCAmelCase__		)
      return ret


def 			UpperCAmelCase__       (				lowerCAmelCase__     :MyNode		) ->    MyNode:
      '''simple docstring'''


      print("""right rotation node:"""					,		node.get_data()		)
      lowercase														=	node.get_right()
      assert ret is not None
      node.set_right(ret.get_left()		)
      ret.set_left(lowerCAmelCase__		)
      lowercase														=	my_max(get_height(node.get_right()		)					,		get_height(node.get_left()		)		) + 1
      node.set_height(lowerCAmelCase__		)
      lowercase														=	my_max(get_height(ret.get_right()		)					,		get_height(ret.get_left()		)		) + 1
      ret.set_height(lowerCAmelCase__		)
      return ret


def 			UpperCAmelCase__       (				lowerCAmelCase__     :MyNode		) ->    MyNode:
      '''simple docstring'''


      lowercase														=	node.get_left()
      assert left_child is not None
      node.set_left(left_rotation(lowerCAmelCase__		)		)
      return right_rotation(lowerCAmelCase__		)


def 			UpperCAmelCase__       (				lowerCAmelCase__     :MyNode		) ->    MyNode:
      '''simple docstring'''


      lowercase														=	node.get_right()
      assert right_child is not None
      node.set_right(right_rotation(lowerCAmelCase__		)		)
      return left_rotation(lowerCAmelCase__		)


def 			UpperCAmelCase__       (				lowerCAmelCase__     :MyNode | None					,		lowerCAmelCase__     :Any		) ->    MyNode | None:
      '''simple docstring'''


      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
                  lowercase														=	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
                        lowercase														=	right_rotation(lowerCAmelCase__		)
                  else:
                        lowercase														=	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:
                  lowercase														=	node.get_right()
                  assert right_child is not None
                  if data < right_child.get_data():
                        lowercase														=	rl_rotation(lowerCAmelCase__		)
                  else:
                        lowercase														=	left_rotation(lowerCAmelCase__		)
      lowercase														=	my_max(get_height(node.get_right()		)					,		get_height(node.get_left()		)		) + 1
      node.set_height(lowerCAmelCase__		)
      return node


def 			UpperCAmelCase__       (				lowerCAmelCase__     :MyNode		) ->    Any:
      '''simple docstring'''


      while True:
            lowercase														=	root.get_right()
            if right_child is None:
                  break
            lowercase														=	right_child
      return root.get_data()


def 			UpperCAmelCase__       (				lowerCAmelCase__     :MyNode		) ->    Any:
      '''simple docstring'''


      while True:
            lowercase														=	root.get_left()
            if left_child is None:
                  break
            lowercase														=	left_child
      return root.get_data()


def 			UpperCAmelCase__       (				lowerCAmelCase__     :MyNode					,		lowerCAmelCase__     :Any		) ->    MyNode | None:
      '''simple docstring'''


      lowercase														=	root.get_left()
      lowercase														=	root.get_right()
      if root.get_data() == data:
            if left_child is not None and right_child is not None:
                  lowercase														=	get_left_most(lowerCAmelCase__		)
                  root.set_data(lowerCAmelCase__		)
                  root.set_right(del_node(lowerCAmelCase__					,		lowerCAmelCase__		)		)
            elif left_child is not None:
                  lowercase														=	left_child
            elif right_child is not None:
                  lowercase														=	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()		):
                  lowercase														=	left_rotation(lowerCAmelCase__		)
            else:
                  lowercase														=	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()		):
                  lowercase														=	right_rotation(lowerCAmelCase__		)
            else:
                  lowercase														=	lr_rotation(lowerCAmelCase__		)
      lowercase														=	my_max(get_height(root.get_right()		)					,		get_height(root.get_left()		)		) + 1
      root.set_height(lowerCAmelCase__		)
      return root





class  _A						:

      def __init__(						self						):







            """simple docstring"""



            lowercase														=	None

      def 				A__       (						self						):







            """simple docstring"""



            return get_height(self.root						)

      def 				A__       (						self		,       __lowerCAmelCase						):







            """simple docstring"""



            print("""insert:""" + str(__lowerCAmelCase						)						)
            lowercase														=	insert_node(self.root		,       __lowerCAmelCase						)

      def 				A__       (						self		,       __lowerCAmelCase						):







            """simple docstring"""



            print("""delete:""" + str(__lowerCAmelCase						)						)
            if self.root is None:
                  print("""Tree is empty!"""						)
                  return
            lowercase														=	del_node(self.root		,       __lowerCAmelCase						)







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







            """simple docstring"""



            lowercase														=	""""""
            lowercase														=	MyQueue()
            q.push(self.root						)
            lowercase														=	self.get_height()
            if layer == 0:
                  return output
            lowercase														=	0
            while not q.is_empty():
                  lowercase														=	q.pop()
                  lowercase														=	""" """ * 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
                  lowercase														=	cnt + 1
                  for i in range(100						):
                        if cnt == math.pow(2		,       __lowerCAmelCase						) - 1:
                              lowercase														=	layer - 1
                              if layer == 0:
                                    output += "\n*************************************"
                                    return output
                              output += "\n"
                              break
            output += "\n*************************************"
            return output






def 			UpperCAmelCase__       (				) ->    None:
      '''simple docstring'''


      import doctest

      doctest.testmod()


if __name__ == "__main__":
       _test()
       __lowerCAmelCase    :       Optional[int]					     =AVLtree()
       __lowerCAmelCase    :       Dict					     =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"""






from ..utils import DummyObject, requires_backends





class  _A						(       metaclass=lowerCAmelCase	):
      snake_case__			:   str							  =	['torch', 'transformers', 'onnx']

      def __init__(						self		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(self		,       ["""torch""", """transformers""", """onnx"""]						)

      @classmethod
      def 				A__       (						cls		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(cls		,       ["""torch""", """transformers""", """onnx"""]						)







      @classmethod
      def 				A__       (						cls		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(cls		,       ["""torch""", """transformers""", """onnx"""]						)






class  _A						(       metaclass=lowerCAmelCase	):
      snake_case__			:   List[Any]							  =	['torch', 'transformers', 'onnx']

      def __init__(						self		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(self		,       ["""torch""", """transformers""", """onnx"""]						)

      @classmethod
      def 				A__       (						cls		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(cls		,       ["""torch""", """transformers""", """onnx"""]						)







      @classmethod
      def 				A__       (						cls		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(cls		,       ["""torch""", """transformers""", """onnx"""]						)






class  _A						(       metaclass=lowerCAmelCase	):
      snake_case__			:   Optional[Any]							  =	['torch', 'transformers', 'onnx']

      def __init__(						self		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(self		,       ["""torch""", """transformers""", """onnx"""]						)

      @classmethod
      def 				A__       (						cls		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(cls		,       ["""torch""", """transformers""", """onnx"""]						)







      @classmethod
      def 				A__       (						cls		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(cls		,       ["""torch""", """transformers""", """onnx"""]						)






class  _A						(       metaclass=lowerCAmelCase	):
      snake_case__			:   int							  =	['torch', 'transformers', 'onnx']

      def __init__(						self		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(self		,       ["""torch""", """transformers""", """onnx"""]						)

      @classmethod
      def 				A__       (						cls		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(cls		,       ["""torch""", """transformers""", """onnx"""]						)







      @classmethod
      def 				A__       (						cls		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(cls		,       ["""torch""", """transformers""", """onnx"""]						)






class  _A						(       metaclass=lowerCAmelCase	):
      snake_case__			:   List[str]							  =	['torch', 'transformers', 'onnx']

      def __init__(						self		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(self		,       ["""torch""", """transformers""", """onnx"""]						)

      @classmethod
      def 				A__       (						cls		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(cls		,       ["""torch""", """transformers""", """onnx"""]						)







      @classmethod
      def 				A__       (						cls		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(cls		,       ["""torch""", """transformers""", """onnx"""]						)






class  _A						(       metaclass=lowerCAmelCase	):
      snake_case__			:   Optional[Any]							  =	['torch', 'transformers', 'onnx']

      def __init__(						self		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(self		,       ["""torch""", """transformers""", """onnx"""]						)

      @classmethod
      def 				A__       (						cls		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(cls		,       ["""torch""", """transformers""", """onnx"""]						)







      @classmethod
      def 				A__       (						cls		,       *__lowerCAmelCase		,       **__lowerCAmelCase						):







            """simple docstring"""



            requires_backends(cls		,       ["""torch""", """transformers""", """onnx"""]						)



