

from __future__ import annotations

from collections import deque
from collections.abc import Sequence
from dataclasses import dataclass
from typing import Any
@dataclass
class  _A		:
  SCREAMING_SNAKE_CASE    :      int
  SCREAMING_SNAKE_CASE    :      Node | None       =  None
  SCREAMING_SNAKE_CASE    :      Node | None       =  None

def    A_  (							):

      """simple docstring"""



      SCREAMING_SNAKE_CASE_				:  str           =     Node(1  )
      SCREAMING_SNAKE_CASE_				:  List[str]           =     Node(2  )
      SCREAMING_SNAKE_CASE_				:  str           =     Node(3  )
      SCREAMING_SNAKE_CASE_				:  Optional[Any]           =     Node(4  )
      SCREAMING_SNAKE_CASE_				:  List[str]           =     Node(5  )
      return tree

def    A_  (							a  ):

      """simple docstring"""



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

def    A_  (							a  ):

      """simple docstring"""



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

def    A_  (							a  ):

      """simple docstring"""



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

def    A_  (							a  ):

      """simple docstring"""



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

def    A_  (							a  ):

      """simple docstring"""



      SCREAMING_SNAKE_CASE_				:  list[Any]           =     []

      if root is None:
            return output

      SCREAMING_SNAKE_CASE_				:  Optional[Any]           =     deque([root]  )

      while process_queue:
            SCREAMING_SNAKE_CASE_				:  Optional[int]           =     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_  (							a					,   a  ):

      """simple docstring"""



      SCREAMING_SNAKE_CASE_				:  list[Any]           =     []

      def populate_output(a					,   a  ) -> 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(a					,   a  )
      return output

def    A_  (							a					,   a  ):

      """simple docstring"""



      SCREAMING_SNAKE_CASE_				:  list[Any]           =     []

      def populate_output(a					,   a  ) -> 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(a					,   a  )
      return output

def    A_  (							a  ):

      """simple docstring"""



      if root is None:
            return []

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

      SCREAMING_SNAKE_CASE_				:  Optional[int]           =     0
      SCREAMING_SNAKE_CASE_				:  List[Any]           =     height(a  )

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

      return output

def    A_  (							):  # Main function for testing.

      """simple docstring"""



      SCREAMING_SNAKE_CASE_				:  Optional[int]           =     make_tree()
      print(f"In-order Traversal: {inorder(a  )}"  )
      print(f"Pre-order Traversal: {preorder(a  )}"  )
      print(f"Post-order Traversal: {postorder(a  )}"					,   '\n'  )

      print(f"Height of Tree: {height(a  )}"					,   '\n'  )

      print('Complete Level Order Traversal: '  )
      print(level_order(a  )					,   '\n'  )

      print('Level-wise order Traversal: '  )

      for level in range(1					,   height(a  ) + 1  ):
            print(f"Level {level}:"					,   get_nodes_from_left_to_right(a					,   level=a  )  )

      print('\nZigZag order Traversal: '  )
      print(zigzag(a  )  )


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    main()









from __future__ import annotations

import math

lowerCAmelCase     :   List[str]						     =  '2020.9.26'
lowerCAmelCase     :   List[Any]						     =  'xcodz-dot, cclaus, dhruvmanila'

def    A_  (							a					,   a					,   a					,   a					,   a  ):

      """simple docstring"""



      if not all(isinstance(a					,   (float, int)  ) for val in locals().values()  ):
            SCREAMING_SNAKE_CASE_				:  Optional[Any]           =     f"Input values must either be float or int: {list(locals().values()  )}"
            raise TypeError(a  )
      SCREAMING_SNAKE_CASE_				:  Optional[Any]           =     ((x * distance) / (z + distance)) * scale
      SCREAMING_SNAKE_CASE_				:  int           =     ((y * distance) / (z + distance)) * scale
      return projected_x, projected_y

def    A_  (							a					,   a					,   a					,   a					,   a  ):

      """simple docstring"""



      if not isinstance(a					,   a  ):
            raise TypeError('Axis must be a str'  )
      SCREAMING_SNAKE_CASE_				:  Any           =     locals()
      del input_variables["axis"]
      if not all(isinstance(a					,   (float, int)  ) for val in input_variables.values()  ):
            SCREAMING_SNAKE_CASE_				:  Optional[Any]           =     (
                'Input values except axis must either be float or int: '
                f"{list(input_variables.values()  )}"
            )
            raise TypeError(a  )
      SCREAMING_SNAKE_CASE_				:  List[Any]           =     (angle % 3_6_0) / 4_5_0 * 1_8_0 / math.pi
      if axis == "z":
            SCREAMING_SNAKE_CASE_				:  List[str]           =     x * math.cos(a  ) - y * math.sin(a  )
            SCREAMING_SNAKE_CASE_				:  List[Any]           =     y * math.cos(a  ) + x * math.sin(a  )
            SCREAMING_SNAKE_CASE_				:  Dict           =     z
      elif axis == "x":
            SCREAMING_SNAKE_CASE_				:  Any           =     y * math.cos(a  ) - z * math.sin(a  )
            SCREAMING_SNAKE_CASE_				:  Optional[Any]           =     z * math.cos(a  ) + y * math.sin(a  )
            SCREAMING_SNAKE_CASE_				:  str           =     x
      elif axis == "y":
            SCREAMING_SNAKE_CASE_				:  str           =     x * math.cos(a  ) - z * math.sin(a  )
            SCREAMING_SNAKE_CASE_				:  List[str]           =     z * math.cos(a  ) + x * math.sin(a  )
            SCREAMING_SNAKE_CASE_				:  Any           =     y
      else:
            raise ValueError('not a valid axis, choose one of \'x\', \'y\', \'z\''  )

      return new_x, new_y, new_z


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    print(F'{convert_to_ad(1.0, 2.0, 3.0, 10.0, 10.0) = }')
    print(F'{rotate(1.0, 2.0, 3.0, "y", 90.0) = }')






