


from __future__ import annotations

import math
import random
from typing import Any


class     lowercase__  :






  def __init__(					self      :					Any ):




         """simple docstring"""







         UpperCAmelCase__										=     []
         UpperCAmelCase__										=     0
         UpperCAmelCase__										=     0






  def 			_UpperCAmelCase  (					self      :					List[str] ):




         """simple docstring"""







         return self.head == self.tail






  def 			_UpperCAmelCase  (					self      :					Optional[int]		,						_lowercase      :					Any ):




         """simple docstring"""







         self.data.append(_lowercase )
         UpperCAmelCase__										=     self.tail + 1






  def 			_UpperCAmelCase  (					self      :					Union[str, Any] ):




         """simple docstring"""







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






  def 			_UpperCAmelCase  (					self      :					Tuple ):




         """simple docstring"""







         return self.tail - self.head






  def 			_UpperCAmelCase  (					self      :					Tuple ):




         """simple docstring"""







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




class     lowercase__  :






  def __init__(					self      :					List[Any]		,						_lowercase      :					Any ):




         """simple docstring"""







         UpperCAmelCase__										=     data
         UpperCAmelCase__										=     None
         UpperCAmelCase__										=     None
         UpperCAmelCase__										=     1






  def 			_UpperCAmelCase  (					self      :					int ):




         """simple docstring"""







         return self.data






  def 			_UpperCAmelCase  (					self      :					Union[str, Any] ):




         """simple docstring"""







         return self.left






  def 			_UpperCAmelCase  (					self      :					List[Any] ):




         """simple docstring"""







         return self.right






  def 			_UpperCAmelCase  (					self      :					Dict ):




         """simple docstring"""







         return self.height






  def 			_UpperCAmelCase  (					self      :					Optional[Any]		,						_lowercase      :					Any ):




         """simple docstring"""







         UpperCAmelCase__										=     data






  def 			_UpperCAmelCase  (					self      :					Any		,						_lowercase      :					MyNode | None ):




         """simple docstring"""







         UpperCAmelCase__										=     node






  def 			_UpperCAmelCase  (					self      :					Any		,						_lowercase      :					MyNode | None ):




         """simple docstring"""







         UpperCAmelCase__										=     node






  def 			_UpperCAmelCase  (					self      :					Tuple		,						_lowercase      :					int ):




         """simple docstring"""







         UpperCAmelCase__										=     height





def __UpperCAmelCase       (		__A			)						->					List[str]:



       '''simple docstring'''





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





def __UpperCAmelCase       (		__A ,						__A			)						->					Optional[Any]:



       '''simple docstring'''





       if a > b:
              return a
       return b





def __UpperCAmelCase       (		__A			)						->					Optional[int]:



       '''simple docstring'''





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





def __UpperCAmelCase       (		__A			)						->					Union[str, Any]:



       '''simple docstring'''





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





def __UpperCAmelCase       (		__A			)						->					Union[str, Any]:



       '''simple docstring'''





       UpperCAmelCase__										=     node.get_left()
       assert left_child is not None
       node.set_left(left_rotation(_lowerCamelCase			)			)
       return right_rotation(_lowerCamelCase			)





def __UpperCAmelCase       (		__A			)						->					int:



       '''simple docstring'''





       UpperCAmelCase__										=     node.get_right()
       assert right_child is not None
       node.set_right(right_rotation(_lowerCamelCase			)			)
       return left_rotation(_lowerCamelCase			)





def __UpperCAmelCase       (		__A ,						__A			)						->					int:



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





def __UpperCAmelCase       (		__A			)						->					Any:



       '''simple docstring'''





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





def __UpperCAmelCase       (		__A			)						->					Dict:



       '''simple docstring'''





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





def __UpperCAmelCase       (		__A ,						__A			)						->					Tuple:



       '''simple docstring'''





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


class     lowercase__  :






  def __init__(					self      :					List[Any] ):




         """simple docstring"""







         UpperCAmelCase__										=     None






  def 			_UpperCAmelCase  (					self      :					Optional[Any] ):




         """simple docstring"""







         return get_height(self.root )






  def 			_UpperCAmelCase  (					self      :					Optional[Any]		,						_lowercase      :					Any ):




         """simple docstring"""







         print("insert:" + str(_lowercase ) )
         UpperCAmelCase__										=     insert_node(self.root		,						_lowercase )






  def 			_UpperCAmelCase  (					self      :					Any		,						_lowercase      :					Any ):




         """simple docstring"""







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






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




         """simple docstring"""







         UpperCAmelCase__										=     ""
         UpperCAmelCase__										=     MyQueue()
         q.push(self.root )
         UpperCAmelCase__										=     self.get_height()
         if layer == 0:
                return output
         UpperCAmelCase__										=     0
         while not q.is_empty():
                UpperCAmelCase__										=     q.pop()
                UpperCAmelCase__										=     " " * int(math.pow(2		,						layer - 1 ) )
                output += space
                if node is None:
                       output += "*"
                       q.push(_lowercase )
                       q.push(_lowercase )
                else:
                       output += str(node.get_data() )
                       q.push(node.get_left() )
                       q.push(node.get_right() )
                output += space
                UpperCAmelCase__										=     cnt + 1
                for i in range(1_00 ):
                       if cnt == math.pow(2		,						_lowercase ) - 1:
                              UpperCAmelCase__										=     layer - 1
                              if layer == 0:
                                     output += "\n*************************************"
                                     return output
                              output += "\n"
                              break
         output += "\n*************************************"
         return output





def __UpperCAmelCase       (		)						->					List[str]:



       '''simple docstring'''





       import doctest

       doctest.testmod()


if __name__ == "__main__":
       _test()
       A      = AVLtree()
       A      = 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 typing import TYPE_CHECKING

from ....utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


A      = {"configuration_mmbt": ["MMBTConfig"]}

try:
    if not is_torch_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    A      = ["MMBTForClassification", "MMBTModel", "ModalEmbeddings"]


if TYPE_CHECKING:
    from .configuration_mmbt import MMBTConfig

    try:
        if not is_torch_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .modeling_mmbt import MMBTForClassification, MMBTModel, ModalEmbeddings

else:
    import sys

    A      = _LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)





