




from __future__ import annotations

import math
import random
from typing import Any







class   A:



 '''simple docstring'''


 def __init__(    self :  Tuple  )       ->     None:

       """simple docstring"""






       lowerCamelCase_							=   []
       lowerCamelCase_							=   0
       lowerCamelCase_							=   0

 def     a__			(    self :  str  )       ->     bool:

       """simple docstring"""






       return self.head == self.tail

 def     a__			(    self :  str						,							A_ :  Any  )       ->     None:

       """simple docstring"""






       self.data.append(A_  )
       lowerCamelCase_							=   self.tail + 1

 def     a__			(    self :  Tuple  )       ->     Any:

       """simple docstring"""






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

 def     a__			(    self :  Tuple  )       ->     int:

       """simple docstring"""






       return self.tail - self.head





 def     a__			(    self :  Optional[Any]  )       ->     None:

       """simple docstring"""






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







class   A:



 '''simple docstring'''


 def __init__(    self :  Tuple						,							A_ :  Any  )       ->     None:

       """simple docstring"""






       lowerCamelCase_							=   data
       lowerCamelCase_							=   None
       lowerCamelCase_							=   None
       lowerCamelCase_							=   1

 def     a__			(    self :  Any  )       ->     Any:

       """simple docstring"""






       return self.data

 def     a__			(    self :  Tuple  )       ->     MyNode | None:

       """simple docstring"""






       return self.left

 def     a__			(    self :  Dict  )       ->     MyNode | None:

       """simple docstring"""






       return self.right

 def     a__			(    self :  Optional[int]  )       ->     int:

       """simple docstring"""






       return self.height

 def     a__			(    self :  str						,							A_ :  Any  )       ->     None:

       """simple docstring"""






       lowerCamelCase_							=   data

 def     a__			(    self :  Optional[Any]						,							A_ :  MyNode | None  )       ->     None:

       """simple docstring"""






       lowerCamelCase_							=   node

 def     a__			(    self :  Dict						,							A_ :  MyNode | None  )       ->     None:

       """simple docstring"""






       lowerCamelCase_							=   node





 def     a__			(    self :  Tuple						,							A_ :  int  )       ->     None:

       """simple docstring"""






       lowerCamelCase_							=   height

def       _SCREAMING_SNAKE_CASE      (							lowercase     :	MyNode | None					):


      '''simple docstring'''



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

def       _SCREAMING_SNAKE_CASE      (							lowercase     :	int     ,							lowercase     :	int					):


      '''simple docstring'''



      if a > b:
            return a
      return b

def       _SCREAMING_SNAKE_CASE      (							lowercase     :	MyNode					):


      '''simple docstring'''



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

def       _SCREAMING_SNAKE_CASE      (							lowercase     :	MyNode					):


      '''simple docstring'''



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

def       _SCREAMING_SNAKE_CASE      (							lowercase     :	MyNode					):


      '''simple docstring'''



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

def       _SCREAMING_SNAKE_CASE      (							lowercase     :	MyNode					):


      '''simple docstring'''



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

def       _SCREAMING_SNAKE_CASE      (							lowercase     :	MyNode | None     ,							lowercase     :	Any					):


      '''simple docstring'''



      if node is None:
            return MyNode(lowercase					)
      if data < node.get_data():
            node.set_left(insert_node(node.get_left()     ,							lowercase					)					)
            if (
                get_height(node.get_left()					) - get_height(node.get_right()					) == 2
            ):  # an unbalance detected
                  lowerCamelCase_							=   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
                        lowerCamelCase_							=   right_rotation(lowercase					)
                  else:
                        lowerCamelCase_							=   lr_rotation(lowercase					)
      else:
            node.set_right(insert_node(node.get_right()     ,							lowercase					)					)
            if get_height(node.get_right()					) - get_height(node.get_left()					) == 2:
                  lowerCamelCase_							=   node.get_right()
                  assert right_child is not None
                  if data < right_child.get_data():
                        lowerCamelCase_							=   rl_rotation(lowercase					)
                  else:
                        lowerCamelCase_							=   left_rotation(lowercase					)
      lowerCamelCase_							=   my_max(get_height(node.get_right()					)     ,							get_height(node.get_left()					)					) + 1
      node.set_height(lowercase					)
      return node

def       _SCREAMING_SNAKE_CASE      (							lowercase     :	MyNode					):


      '''simple docstring'''



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

def       _SCREAMING_SNAKE_CASE      (							lowercase     :	MyNode					):


      '''simple docstring'''



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

def       _SCREAMING_SNAKE_CASE      (							lowercase     :	MyNode     ,							lowercase     :	Any					):


      '''simple docstring'''



      lowerCamelCase_							=   root.get_left()
      lowerCamelCase_							=   root.get_right()
      if root.get_data() == data:
            if left_child is not None and right_child is not None:
                  lowerCamelCase_							=   get_left_most(lowercase					)
                  root.set_data(lowercase					)
                  root.set_right(del_node(lowercase     ,							lowercase					)					)
            elif left_child is not None:
                  lowerCamelCase_							=   left_child
            elif right_child is not None:
                  lowerCamelCase_							=   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(lowercase     ,							lowercase					)					)
      else:  # root.get_data() < data
            if right_child is None:
                  return root
            else:
                  root.set_right(del_node(lowercase     ,							lowercase					)					)

      if get_height(lowercase					) - get_height(lowercase					) == 2:
            assert right_child is not None
            if get_height(right_child.get_right()					) > get_height(right_child.get_left()					):
                  lowerCamelCase_							=   left_rotation(lowercase					)
            else:
                  lowerCamelCase_							=   rl_rotation(lowercase					)
      elif get_height(lowercase					) - get_height(lowercase					) == -2:
            assert left_child is not None
            if get_height(left_child.get_left()					) > get_height(left_child.get_right()					):
                  lowerCamelCase_							=   right_rotation(lowercase					)
            else:
                  lowerCamelCase_							=   lr_rotation(lowercase					)
      lowerCamelCase_							=   my_max(get_height(root.get_right()					)     ,							get_height(root.get_left()					)					) + 1
      root.set_height(lowercase					)
      return root







class   A:



 '''simple docstring'''


 def __init__(    self :  Optional[int]  )       ->     None:

       """simple docstring"""






       lowerCamelCase_							=   None

 def     a__			(    self :  Dict  )       ->     int:

       """simple docstring"""






       return get_height(self.root  )

 def     a__			(    self :  List[str]						,							A_ :  Any  )       ->     None:

       """simple docstring"""






       print('insert:' + str(A_  )  )
       lowerCamelCase_							=   insert_node(self.root						,							A_  )

 def     a__			(    self :  List[str]						,							A_ :  Any  )       ->     None:

       """simple docstring"""






       print('delete:' + str(A_  )  )
       if self.root is None:
             print('Tree is empty!'  )
             return
       lowerCamelCase_							=   del_node(self.root						,							A_  )





 def __str__(    self :  Optional[Any]						,							)       ->     str:  # a level traversale, gives a more intuitive look on the tree

       """simple docstring"""






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

def       _SCREAMING_SNAKE_CASE      (							):


      '''simple docstring'''



      import doctest

      doctest.testmod()


if __name__ == "__main__":
      _test()
      lowerCamelCase    :		str			   =       AVLtree()
      lowerCamelCase    :		Dict			   =       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 ..utils import is_flax_available, is_torch_available


if is_torch_available():
 from .autoencoder_kl import AutoencoderKL
 from .controlnet import ControlNetModel
 from .dual_transformer_ad import DualTransformeraDModel
 from .modeling_utils import ModelMixin
 from .prior_transformer import PriorTransformer
 from .ta_film_transformer import TaFilmDecoder
 from .transformer_ad import TransformeraDModel
 from .unet_ad import UNetaDModel
 from .unet_ad import UNetaDModel
 from .unet_ad_condition import UNetaDConditionModel
 from .unet_ad_condition import UNetaDConditionModel
 from .vq_model import VQModel

if is_flax_available():
 from .controlnet_flax import FlaxControlNetModel
 from .unet_ad_condition_flax import FlaxUNetaDConditionModel
 from .vae_flax import FlaxAutoencoderKL



