



'''simple docstring'''





from collections.abc import Iterable
from typing import Any






class __A			:



 '''simple docstring'''







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


      """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 __A			:



 '''simple docstring'''







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


      """simple docstring"""



      _a      =  root



 def __str__(self       )    ->     str:


      """simple docstring"""



      return str(self.root       )



 def 					a__  (self ,   A ,   A       )    ->     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(A       ):  # If it is the right children
                _a      =  new_children
           else:
                _a      =  new_children
      else:
           _a      =  new_children



 def 					a__  (self ,   A       )    ->     bool:


      """simple docstring"""



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



 def 					a__  (self       )    ->     bool:


      """simple docstring"""



      return self.root is None



 def 					a__  (self ,   A       )    ->     None:


      """simple docstring"""



      _a      =  Node(A       )  # 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 					a__  (self ,   *A       )    ->     None:


      """simple docstring"""



      for value in values:
           self.__insert(A       )



 def 					a__  (self ,   A       )    ->     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 					a__  (self ,   A = 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 					a__  (self ,   A = 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 					a__  (self ,   A       )    ->     None:


      """simple docstring"""



      _a      =  self.search(A       )  # 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(A ,   A       )
           elif node.left is None:  # Has only right children
                self.__reassign_nodes(A ,   node.right       )
           elif node.right is None:  # Has only left children
                self.__reassign_nodes(A ,   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 					a__  (self ,   A       )    ->     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 					a__  (self ,   A=None       )    ->     Any:


      """simple docstring"""



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



 def 					a__  (self ,   A ,   A       )    ->     None:


      """simple docstring"""



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



 def 					a__  (self ,   A ,   A       )    ->     int:


      """simple docstring"""



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





def lowerCAmelCase  (__A):



     """simple docstring"""



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




def lowerCAmelCase  ():



     """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)








'''simple docstring'''





from collections.abc import Generator
from math import sin




def lowerCAmelCase  (__A):



     """simple docstring"""



     if len(__A) != 32:
          raise ValueError('''Input must be of length 32''')

     _a      =  b''''''
     for i in [3, 2, 1, 0]:
          little_endian += string_aa[8 * i : 8 * i + 8]
     return little_endian




def lowerCAmelCase  (__A):



     """simple docstring"""



     if i < 0:
          raise ValueError('''Input must be non-negative''')

     _a      =  format(__A  ,	'''08x''')[-8:]
     _a      =  b''''''
     for i in [3, 2, 1, 0]:
          little_endian_hex += hex_rep[2 * i : 2 * i + 2].encode('''utf-8''')
     return little_endian_hex




def lowerCAmelCase  (__A):



     """simple docstring"""



     _a      =  b''''''
     for char in message:
          bit_string += format(__A  ,	'''08b''').encode('''utf-8''')
     _a      =  format(len(__A)  ,	'''064b''').encode('''utf-8''')

     # Pad bit_string to a multiple of 512 chars
     bit_string += b"1"
     while len(__A) % 512 != 448:
          bit_string += b"0"
     bit_string += to_little_endian(start_len[32:]) + to_little_endian(start_len[:32])

     return bit_string




def lowerCAmelCase  (__A):



     """simple docstring"""



     if len(__A) % 512 != 0:
          raise ValueError('''Input must have length that\'s a multiple of 512''')

     for pos in range(0  ,	len(__A)  ,	512):
          _a      =  bit_string[pos : pos + 512]
          _a      =  []
          for i in range(0  ,	512  ,	32):
               block_words.append(int(to_little_endian(block[i : i + 32])  ,	2))
          yield block_words




def lowerCAmelCase  (__A):



     """simple docstring"""



     if i < 0:
          raise ValueError('''Input must be non-negative''')

     _a      =  format(__A  ,	'''032b''')
     _a      =  ''''''
     for c in i_str:
          new_str += "1" if c == "0" else "0"
     return int(__A  ,	2)




def lowerCAmelCase  (__A  ,	__A):



     """simple docstring"""



     return (a + b) % 2**32




def lowerCAmelCase  (__A  ,	__A):



     """simple docstring"""



     if i < 0:
          raise ValueError('''Input must be non-negative''')
     if shift < 0:
          raise ValueError('''Shift must be non-negative''')
     return ((i << shift) ^ (i >> (32 - shift))) % 2**32




def lowerCAmelCase  (__A):



     """simple docstring"""



     _a      =  preprocess(__A)

     _a      =  [int(2**32 * abs(sin(i + 1))) for i in range(64)]

     # Starting states
     _a      =  0x67_452_301
     _a      =  0xEF_CDA_B89
     _a      =  0x98_BAD_CFE
     _a      =  0x10_325_476

     _a      =  [
         7,
         12,
         17,
         22,
         7,
         12,
         17,
         22,
         7,
         12,
         17,
         22,
         7,
         12,
         17,
         22,
         5,
         9,
         14,
         20,
         5,
         9,
         14,
         20,
         5,
         9,
         14,
         20,
         5,
         9,
         14,
         20,
         4,
         11,
         16,
         23,
         4,
         11,
         16,
         23,
         4,
         11,
         16,
         23,
         4,
         11,
         16,
         23,
         6,
         10,
         15,
         21,
         6,
         10,
         15,
         21,
         6,
         10,
         15,
         21,
         6,
         10,
         15,
         21,
     ]

     # Process bit string in chunks, each with 16 32-char words
     for block_words in get_block_words(__A):
          _a      =  aa
          _a      =  ba
          _a      =  ca
          _a      =  da

          # Hash current chunk
          for i in range(64):
               if i <= 15:
                    # f = (b & c) | (not_32(b) & d)     # Alternate definition for f
                    _a      =  d ^ (b & (c ^ d))
                    _a      =  i
               elif i <= 31:
                    # f = (d & b) | (not_32(d) & c)     # Alternate definition for f
                    _a      =  c ^ (d & (b ^ c))
                    _a      =  (5 * i + 1) % 16
               elif i <= 47:
                    _a      =  b ^ c ^ d
                    _a      =  (3 * i + 5) % 16
               else:
                    _a      =  c ^ (b | not_aa(__A))
                    _a      =  (7 * i) % 16
               _a      =  (f + a + added_consts[i] + block_words[g]) % 2**32
               _a      =  d
               _a      =  c
               _a      =  b
               _a      =  sum_aa(__A  ,	left_rotate_aa(__A  ,	shift_amounts[i]))

          # Add hashed chunk to running total
          _a      =  sum_aa(__A  ,	__A)
          _a      =  sum_aa(__A  ,	__A)
          _a      =  sum_aa(__A  ,	__A)
          _a      =  sum_aa(__A  ,	__A)

     _a      =  reformat_hex(__A) + reformat_hex(__A) + reformat_hex(__A) + reformat_hex(__A)
     return digest


if __name__ == "__main__":
  import doctest

  doctest.testmod()



