

from collections.abc import Iterable
from typing import Any







class 						__magic_name__			:

   '''simple docstring'''




   def __init__(				self,    lowercase_ = None       )							->    Optional[Any]:






     """simple docstring"""






     a__  =value
     a__  =None  # Added in order to delete a node easier
     a__  =None
     a__  =None



   def __repr__(				self       )							->    str:






     """simple docstring"""






     from pprint import pformat

     if self.left is None and self.right is None:
       return str(self.value       )
     return pformat({F"""{self.value}""": (self.left, self.right)},    indent=1       )







class 						__magic_name__			:

   '''simple docstring'''




   def __init__(				self,    lowercase_ = None       )							->    str:






     """simple docstring"""






     a__  =root



   def __str__(				self       )							->    str:






     """simple docstring"""






     return str(self.root       )



   def  _UpperCAmelCase (				self,    lowercase_,    lowercase_       )							->    None:






     """simple docstring"""






     if new_children is not None:  # reset its kids
       a__  =node.parent
     if node.parent is not None:  # reset its parent
       if self.is_right(lowercase_       ):  # If it is the right children
         a__  =new_children
       else:
         a__  =new_children
     else:
       a__  =new_children



   def  _UpperCAmelCase (				self,    lowercase_       )							->    bool:






     """simple docstring"""






     if node.parent and node.parent.right:
       return node == node.parent.right
     return False



   def  _UpperCAmelCase (				self       )							->    bool:






     """simple docstring"""






     return self.root is None



   def  _UpperCAmelCase (				self,    lowercase_       )							->    None:






     """simple docstring"""






     a__  =Node(lowercase_       )  # create a new Node
     if self.empty():  # if Tree is empty
       a__  =new_node  # set its root
     else:  # Tree is not empty
       a__  =self.root  # from root
       if parent_node is None:
         return
       while True:  # While we don't get to a leaf
         if value < parent_node.value:  # We go left
           if parent_node.left is None:
             a__  =new_node  # We insert the new node in a leaf
             break
           else:
             a__  =parent_node.left
         else:
           if parent_node.right is None:
             a__  =new_node
             break
           else:
             a__  =parent_node.right
       a__  =parent_node



   def  _UpperCAmelCase (				self,    *lowercase_       )							->    None:






     """simple docstring"""






     for value in values:
       self.__insert(lowercase_       )



   def  _UpperCAmelCase (				self,    lowercase_       )							->    Node | None:






     """simple docstring"""






     if self.empty():
       raise IndexError('''Warning: Tree is empty! please use another.'''       )
     else:
       a__  =self.root
       # use lazy evaluation here to avoid NoneType Attribute error
       while node is not None and node.value is not value:
         a__  =node.left if value < node.value else node.right
       return node



   def  _UpperCAmelCase (				self,    lowercase_ = None       )							->    Node | None:






     """simple docstring"""






     if node is None:
       if self.root is None:
         return None
       a__  =self.root

     if not self.empty():
       while node.right is not None:
         a__  =node.right
     return node



   def  _UpperCAmelCase (				self,    lowercase_ = None       )							->    Node | None:






     """simple docstring"""






     if node is None:
       a__  =self.root
     if self.root is None:
       return None
     if not self.empty():
       a__  =self.root
       while node.left is not None:
         a__  =node.left
     return node



   def  _UpperCAmelCase (				self,    lowercase_       )							->    None:






     """simple docstring"""






     a__  =self.search(lowercase_       )  # Look for the node with that label
     if node is not None:
       if node.left is None and node.right is None:  # If it has no children
         self.__reassign_nodes(lowercase_,    lowercase_       )
       elif node.left is None:  # Has only right children
         self.__reassign_nodes(lowercase_,    node.right       )
       elif node.right is None:  # Has only left children
         self.__reassign_nodes(lowercase_,    node.left       )
       else:
         a__  =self.get_max(
             node.left       )  # Gets the max value of the left branch
         self.remove(tmp_node.value       )  # type: ignore
         a__  =(
             tmp_node.value  # type: ignore
         )  # Assigns the value to the node to delete and keep tree structure



   def  _UpperCAmelCase (				self,    lowercase_       )							->    Iterable:






     """simple docstring"""






     if node is not None:
       yield node  # Preorder Traversal
       yield from self.preorder_traverse(node.left       )
       yield from self.preorder_traverse(node.right       )



   def  _UpperCAmelCase (				self,    lowercase_=None       )							->    Any:






     """simple docstring"""






     if traversal_function is None:
       return self.preorder_traverse(self.root       )
     else:
       return traversal_function(self.root       )



   def  _UpperCAmelCase (				self,    lowercase_,    lowercase_       )							->    None:






     """simple docstring"""






     if node:
       self.inorder(lowercase_,    node.left       )
       arr.append(node.value       )
       self.inorder(lowercase_,    node.right       )



   def  _UpperCAmelCase (				self,    lowercase_,    lowercase_       )							->    int:






     """simple docstring"""






     a__  =[]
     self.inorder(lowercase_,    lowercase_       )  # append all values to list using inorder traversal
     return arr[k - 1]





def 			UpperCAmelCase__				(			_A      : Node | None							):





  '''simple docstring'''







  a__  =[]
  if curr_node is not None:
    a__  =postorder(curr_node.left							) + postorder(curr_node.right							) + [curr_node]
  return node_list




def 			UpperCAmelCase__				(			):





  '''simple docstring'''







  a__  =(8, 3, 6, 1, 10, 14, 13, 4, 7)
  a__  =BinarySearchTree()
  for i in testlist:
    t.insert(_A							)

  # Prints all the elements of the list in order traversal
  print(_A							)

  if t.search(6							) is not None:
    print('''The value 6 exists'''							)
  else:
    print('''The value 6 doesn\'t exist'''							)

  if t.search(-1							) is not None:
    print('''The value -1 exists'''							)
  else:
    print('''The value -1 doesn\'t exist'''							)

  if not t.empty():
    print('''Max Value: '''	,      t.get_max().value							)  # type: ignore
    print('''Min Value: '''	,      t.get_min().value							)  # type: ignore

  for i in testlist:
    t.remove(_A							)
    print(_A							)


if __name__ == "__main__":
       import doctest

       doctest.testmod(verbose=True)



import os
import string
import sys


lowerCamelCase           =					1 << 8

lowerCamelCase           =					{
    '''tab''': ord('''\t'''),
    '''newline''': ord('''\r'''),
    '''esc''': 27,
    '''up''': 65 + ARROW_KEY_FLAG,
    '''down''': 66 + ARROW_KEY_FLAG,
    '''right''': 67 + ARROW_KEY_FLAG,
    '''left''': 68 + ARROW_KEY_FLAG,
    '''mod_int''': 91,
    '''undefined''': sys.maxsize,
    '''interrupt''': 3,
    '''insert''': 50,
    '''delete''': 51,
    '''pg_up''': 53,
    '''pg_down''': 54,
}

lowerCamelCase           =					KEYMAP['''up''']
lowerCamelCase           =					KEYMAP['''left''']

if sys.platform == "win32":
       lowerCamelCase           =					[]
       lowerCamelCase           =					{
           b'''\xe0H''': KEYMAP['''up'''] - ARROW_KEY_FLAG,
           b'''\x00H''': KEYMAP['''up'''] - ARROW_KEY_FLAG,
           b'''\xe0P''': KEYMAP['''down'''] - ARROW_KEY_FLAG,
           b'''\x00P''': KEYMAP['''down'''] - ARROW_KEY_FLAG,
           b'''\xe0M''': KEYMAP['''right'''] - ARROW_KEY_FLAG,
           b'''\x00M''': KEYMAP['''right'''] - ARROW_KEY_FLAG,
           b'''\xe0K''': KEYMAP['''left'''] - ARROW_KEY_FLAG,
           b'''\x00K''': KEYMAP['''left'''] - ARROW_KEY_FLAG,
       }

for i in range(10):
       lowerCamelCase           =					ord(str(i))




def 			UpperCAmelCase__				(			):





  '''simple docstring'''







  if os.name == "nt":
    import msvcrt

    a__  ='''mbcs'''
    # Flush the keyboard buffer
    while msvcrt.kbhit():
      msvcrt.getch()
    if len(_A							) == 0:
      # Read the keystroke
      a__  =msvcrt.getch()

      # If it is a prefix char, get second part
      if ch in (b"\x00", b"\xe0"):
        a__  =ch + msvcrt.getch()
        # Translate actual Win chars to bullet char types
        try:
          a__  =chr(WIN_KEYMAP[cha]							)
          WIN_CH_BUFFER.append(chr(KEYMAP['''mod_int''']							)							)
          WIN_CH_BUFFER.append(_A							)
          if ord(_A							) in (
              KEYMAP["insert"] - 1 << 9,
              KEYMAP["delete"] - 1 << 9,
              KEYMAP["pg_up"] - 1 << 9,
              KEYMAP["pg_down"] - 1 << 9,
          ):
            WIN_CH_BUFFER.append(chr(1_26							)							)
          a__  =chr(KEYMAP['''esc''']							)
        except KeyError:
          a__  =cha[1]
      else:
        a__  =ch.decode(_A							)
    else:
      a__  =WIN_CH_BUFFER.pop(0							)
  elif os.name == "posix":
    import termios
    import tty

    a__  =sys.stdin.fileno()
    a__  =termios.tcgetattr(_A							)
    try:
      tty.setraw(_A							)
      a__  =sys.stdin.read(1							)
    finally:
      termios.tcsetattr(_A	,      termios.TCSADRAIN	,      _A							)
  return ch




def 			UpperCAmelCase__				(			):





  '''simple docstring'''







  a__  =get_raw_chars()
  if ord(_A							) in [KEYMAP["interrupt"], KEYMAP["newline"]]:
    return char

  elif ord(_A							) == KEYMAP["esc"]:
    a__  =get_raw_chars()
    if ord(_A							) == KEYMAP["mod_int"]:
      a__  =get_raw_chars()
      if ord(_A							) >= KEYMAP["arrow_begin"] - ARROW_KEY_FLAG and ord(_A							) <= KEYMAP["arrow_end"] - ARROW_KEY_FLAG:
        return chr(ord(_A							) + ARROW_KEY_FLAG							)
      else:
        return KEYMAP["undefined"]
    else:
      return get_raw_chars()

  else:
    if char in string.printable:
      return char
    else:
      return KEYMAP["undefined"]
