



"""simple docstring"""
from __future__ import annotations

from collections import deque
from collections.abc import Sequence
from dataclasses import dataclass
from typing import Any
@dataclass
class 					a	:
  UpperCamelCase	:				Union[str, Any]     						=					4_2
  UpperCamelCase	:				Optional[int]     						=					None
  UpperCamelCase	:				List[str]     						=					None







def      __magic_name__				(							):
   SCREAMING_SNAKE_CASE_: Optional[Any]     			=Node(1 )
   SCREAMING_SNAKE_CASE_: List[str]     			=Node(2 )
   SCREAMING_SNAKE_CASE_: Union[str, Any]     			=Node(3 )
   SCREAMING_SNAKE_CASE_: Tuple     			=Node(4 )
   SCREAMING_SNAKE_CASE_: int     			=Node(5 )
   return tree





def      __magic_name__				(							lowercase ):
   return [root.data, *preorder(root.left ), *preorder(root.right )] if root else []





def      __magic_name__				(							lowercase ):
   return postorder(root.left ) + postorder(root.right ) + [root.data] if root else []





def      __magic_name__				(							lowercase ):
   return [*inorder(root.left ), root.data, *inorder(root.right )] if root else []





def      __magic_name__				(							lowercase ):
   return (max(height(root.left )							,			height(root.right ) ) + 1) if root else 0





def      __magic_name__				(							lowercase ):
   SCREAMING_SNAKE_CASE_: list[Any]     			=[]

   if root is None:
      return output

   SCREAMING_SNAKE_CASE_: Tuple     			=deque([root] )

   while process_queue:
      SCREAMING_SNAKE_CASE_: Optional[Any]     			=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      __magic_name__				(							lowercase							,			lowercase ):
   SCREAMING_SNAKE_CASE_: list[Any]     			=[]

   def populate_output(lowercase							,			lowercase ) -> 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      __magic_name__				(							lowercase							,			lowercase ):
   SCREAMING_SNAKE_CASE_: list[Any]     			=[]

   def populate_output(lowercase							,			lowercase ) -> 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      __magic_name__				(							lowercase ):
   if root is None:
      return []

   SCREAMING_SNAKE_CASE_: list[Sequence[Node | None]]     			=[]

   SCREAMING_SNAKE_CASE_: List[str]     			=0
   SCREAMING_SNAKE_CASE_: Optional[Any]     			=height(_lowerCamelCase )

   for h in range(1							,			height_tree + 1 ):
      if not flag:
         output.append(get_nodes_from_left_to_right(_lowerCamelCase							,			_lowerCamelCase ) )
         SCREAMING_SNAKE_CASE_: Any     			=1
      else:
         output.append(get_nodes_from_right_to_left(_lowerCamelCase							,			_lowerCamelCase ) )
         SCREAMING_SNAKE_CASE_: Optional[Any]     			=0

   return output





def      __magic_name__				(							):  # Main function for testing.
   SCREAMING_SNAKE_CASE_: Union[str, Any]     			=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()








"""simple docstring"""
import string





def      __magic_name__				(							lowercase ):
   SCREAMING_SNAKE_CASE_: List[Any]     			=""""""
   for i in sequence:
      SCREAMING_SNAKE_CASE_: List[Any]     			=ord(lowercase )
      if 65 <= extract <= 90:
         output += chr(155 - extract )
      elif 97 <= extract <= 122:
         output += chr(219 - extract )
      else:
         output += i
   return output





def      __magic_name__				(							lowercase ):
   SCREAMING_SNAKE_CASE_: Any     			=string.ascii_letters
   SCREAMING_SNAKE_CASE_: Tuple     			=string.ascii_lowercase[::-1] + string.ascii_uppercase[::-1]
   return "".join(
       letters_reversed[letters.index(lowercase )] if c in letters else c for c in sequence )





def      __magic_name__				(							):
   from timeit import timeit

   print("""Running performance benchmarks...""" )
   SCREAMING_SNAKE_CASE_: int     			="""from string import printable ; from __main__ import atbash, atbash_slow"""
   print(f'''> atbash_slow(): {timeit("atbash_slow(printable)"							,			setup=lowercase )} seconds''' )
   print(f'''>      atbash(): {timeit("atbash(printable)"							,			setup=lowercase )} seconds''' )


if __name__ == "__main__":
   for example in ("ABCDEFGH", "123GGjj", "testStringtest", "with space"):
      print(f"""{example} encrypted in atbash: {atbash(example)}""")
   benchmark()



