




from __future__ import annotations

from collections import deque
from collections.abc import Sequence
from dataclasses import dataclass
from typing import Any





@dataclass
class 			__lowerCamelCase	:




    """simple docstring"""

    snake_case__ =				42
    snake_case__ =				None
    snake_case__ =				None






def 							_A       (						):
     """simple docstring"""

     lowerCAmelCase__          =			Node(1      )
     lowerCAmelCase__          =			Node(2      )
     lowerCAmelCase__          =			Node(3      )
     lowerCAmelCase__          =			Node(4      )
     lowerCAmelCase__          =			Node(5      )
     return tree



def 							_A       (						lowerCAmelCase_					: Node | None      ):
     """simple docstring"""

     return [root.data, *preorder(root.left      ), *preorder(root.right      )] if root else []



def 							_A       (						lowerCAmelCase_					: Node | None      ):
     """simple docstring"""

     return postorder(root.left      ) + postorder(root.right      ) + [root.data] if root else []



def 							_A       (						lowerCAmelCase_					: Node | None      ):
     """simple docstring"""

     return [*inorder(root.left      ), root.data, *inorder(root.right      )] if root else []



def 							_A       (						lowerCAmelCase_					: Node | None      ):
     """simple docstring"""

     return (max(height(root.left      )       ,    height(root.right      )      ) + 1) if root else 0



def 							_A       (						lowerCAmelCase_					: Node | None      ):
     """simple docstring"""

     lowerCAmelCase__          =			[]

     if root is None:
          return output

     lowerCAmelCase__          =			deque([root]      )

     while process_queue:
          lowerCAmelCase__          =			process_queue.popleft()
          output.append(node.data      )

          if node.left:
               process_queue.append(node.left      )
          if node.right:
               process_queue.append(node.right      )
     return output



def 							_A       (						lowerCAmelCase_					: Node | None       ,    lowerCAmelCase_					: int      ):
     """simple docstring"""

     lowerCAmelCase__          =			[]

     def populate_output(lowerCAmelCase_					: Node | None       ,    lowerCAmelCase_					: int      ) -> None:
          if not root:
               return
          if level == 1:
               output.append(root.data      )
          elif level > 1:
               populate_output(root.left       ,    level - 1      )
               populate_output(root.right       ,    level - 1      )

     populate_output(lowerCAmelCase_       ,    lowerCAmelCase_      )
     return output



def 							_A       (						lowerCAmelCase_					: Node | None       ,    lowerCAmelCase_					: int      ):
     """simple docstring"""

     lowerCAmelCase__          =			[]

     def populate_output(lowerCAmelCase_					: Node | None       ,    lowerCAmelCase_					: int      ) -> None:
          if root is None:
               return
          if level == 1:
               output.append(root.data      )
          elif level > 1:
               populate_output(root.right       ,    level - 1      )
               populate_output(root.left       ,    level - 1      )

     populate_output(lowerCAmelCase_       ,    lowerCAmelCase_      )
     return output



def 							_A       (						lowerCAmelCase_					: Node | None      ):
     """simple docstring"""

     if root is None:
          return []

     lowerCAmelCase__          =			[]

     lowerCAmelCase__          =			0
     lowerCAmelCase__          =			height(lowerCAmelCase_      )

     for h in range(1       ,    height_tree + 1      ):
          if not flag:
               output.append(get_nodes_from_left_to_right(lowerCAmelCase_       ,    lowerCAmelCase_      )      )
               lowerCAmelCase__          =			1
          else:
               output.append(get_nodes_from_right_to_left(lowerCAmelCase_       ,    lowerCAmelCase_      )      )
               lowerCAmelCase__          =			0

     return output



def 							_A       (						):  # Main function for testing.
     """simple docstring"""

     lowerCAmelCase__          =			make_tree()
     print(F'In-order Traversal: {inorder(lowerCAmelCase_      )}'      )
     print(F'Pre-order Traversal: {preorder(lowerCAmelCase_      )}'      )
     print(F'Post-order Traversal: {postorder(lowerCAmelCase_      )}'       ,    "\n"      )

     print(F'Height of Tree: {height(lowerCAmelCase_      )}'       ,    "\n"      )

     print("Complete Level Order Traversal: "      )
     print(level_order(lowerCAmelCase_      )       ,    "\n"      )

     print("Level-wise order Traversal: "      )

     for level in range(1       ,    height(lowerCAmelCase_      ) + 1      ):
          print(F'Level {level}:'       ,    get_nodes_from_left_to_right(lowerCAmelCase_       ,    level=lowerCAmelCase_      )      )

     print("\nZigZag order Traversal: "      )
     print(zigzag(lowerCAmelCase_      )      )


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     main()






import string



def 							_A       (						lowerCAmelCase_					: str      ):
     """simple docstring"""

     for key in range(len(string.ascii_uppercase      )      ):
          lowerCAmelCase__          =			""
          for symbol in message:
               if symbol in string.ascii_uppercase:
                    lowerCAmelCase__          =			string.ascii_uppercase.find(lowerCAmelCase_      )
                    lowerCAmelCase__          =			num - key
                    if num < 0:
                         lowerCAmelCase__          =			num + len(string.ascii_uppercase      )
                    lowerCAmelCase__          =			translated + string.ascii_uppercase[num]
               else:
                    lowerCAmelCase__          =			translated + symbol
          print(F'Decryption using Key #{key}: {translated}'      )



def 							_A       (						):
     """simple docstring"""

     lowerCAmelCase__          =			input("Encrypted message: "      )
     lowerCAmelCase__          =			message.upper()
     decrypt(lowerCAmelCase_      )


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     main()
