

'''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__					:
    lowercase		    =						42
    lowercase		    =						None
    lowercase		    =						None

def 					UpperCAmelCase__			(					)	->	Node | None:
       A_		    =					Node(1 )
       A_		    =					Node(2 )
       A_		    =					Node(3 )
       A_		    =					Node(4 )
       A_		    =					Node(5 )
       return tree
def 					UpperCAmelCase__			(					UpperCAmelCase__ )	->	list[int]:
       return [root.data, *preorder(root.left ), *preorder(root.right )] if root else []
def 					UpperCAmelCase__			(					UpperCAmelCase__ )	->	list[int]:
       return postorder(root.left ) + postorder(root.right ) + [root.data] if root else []
def 					UpperCAmelCase__			(					UpperCAmelCase__ )	->	list[int]:
       return [*inorder(root.left ), root.data, *inorder(root.right )] if root else []
def 					UpperCAmelCase__			(					UpperCAmelCase__ )	->	int:
       return (max(height(root.left ),				height(root.right ) ) + 1) if root else 0
def 					UpperCAmelCase__			(					UpperCAmelCase__ )	->	Sequence[Node | None]:
       A_		    =					[]

       if root is None:
              return output

       A_		    =					deque([root] )

       while process_queue:
              A_		    =					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 					UpperCAmelCase__			(					UpperCAmelCase__,				UpperCAmelCase__ )	->	Sequence[Node | None]:
       A_		    =					[]

       def populate_output(UpperCAmelCase__,				UpperCAmelCase__ ) -> 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(UpperCAmelCase__,				UpperCAmelCase__ )
       return output
def 					UpperCAmelCase__			(					UpperCAmelCase__,				UpperCAmelCase__ )	->	Sequence[Node | None]:
       A_		    =					[]

       def populate_output(UpperCAmelCase__,				UpperCAmelCase__ ) -> 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(UpperCAmelCase__,				UpperCAmelCase__ )
       return output
def 					UpperCAmelCase__			(					UpperCAmelCase__ )	->	Sequence[Node | None] | list[Any]:
       if root is None:
              return []

       A_		    =					[]

       A_		    =					0
       A_		    =					height(UpperCAmelCase__ )

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

       return output
def 					UpperCAmelCase__			(					)	->	None:  # Main function for testing.
       A_		    =					make_tree()
       print(F'''In-order Traversal: {inorder(UpperCAmelCase__ )}''' )
       print(F'''Pre-order Traversal: {preorder(UpperCAmelCase__ )}''' )
       print(F'''Post-order Traversal: {postorder(UpperCAmelCase__ )}''',				"""\n""" )

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

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

       print("""Level-wise order Traversal: """ )

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

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


if __name__ == "__main__":
      import doctest

      doctest.testmod()
      main()







'''simple docstring'''







def  _lowerCamelCase				( lowercase						:      str						)	->	list:
				if n_term == "":
								return []
				_a								= []
				for temp in range(int(lowercase						)						):
								series.append(F'1/{temp + 1}' if series else "1"						)
				return series


if __name__ == "__main__":
					lowerCAmelCase_					:    Union[str, Any]      	=			input('Enter the last number (nth term) of the Harmonic Series')
					print('Formula of Harmonic Series => 1+1/2+1/3 ..... 1/n')
					print(harmonic_series(nth_term))
