
from __future__ import annotations

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






@dataclass
class        SCREAMING_SNAKE_CASE__    :

							"""simple docstring"""






							_snake_case     		=  42
							_snake_case     		=  None
							_snake_case     		=  None







def 	A_ (							)      ->    Node | None:



						'''simple docstring'''

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







def 	A_ (							snake_case							:   Node | None )      ->    list[int]:



						'''simple docstring'''

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







def 	A_ (							snake_case							:   Node | None )      ->    list[int]:



						'''simple docstring'''

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







def 	A_ (							snake_case							:   Node | None )      ->    list[int]:



						'''simple docstring'''

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







def 	A_ (							snake_case							:   Node | None )      ->    int:



						'''simple docstring'''

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







def 	A_ (							snake_case							:   Node | None )      ->    Sequence[Node | None]:



						'''simple docstring'''

						__UpperCamelCase       =			[]

						if root is None:
												return output

						__UpperCamelCase       =			deque([root] )

						while process_queue:
												__UpperCamelCase       =			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_ (							snake_case							:   Node | None ,      snake_case							:   int )      ->    Sequence[Node | None]:



						'''simple docstring'''

						__UpperCamelCase       =			[]

						def populate_output(snake_case							:   Node | None ,      snake_case							:   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(__snake_case ,      __snake_case )
						return output







def 	A_ (							snake_case							:   Node | None ,      snake_case							:   int )      ->    Sequence[Node | None]:



						'''simple docstring'''

						__UpperCamelCase       =			[]

						def populate_output(snake_case							:   Node | None ,      snake_case							:   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(__snake_case ,      __snake_case )
						return output







def 	A_ (							snake_case							:   Node | None )      ->    Sequence[Node | None] | list[Any]:



						'''simple docstring'''

						if root is None:
												return []

						__UpperCamelCase       =			[]

						__UpperCamelCase       =			0
						__UpperCamelCase       =			height(__snake_case )

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

						return output







def 	A_ (							)      ->    None:  # Main function for testing.



						'''simple docstring'''

						__UpperCamelCase       =			make_tree()
						print(f"In-order Traversal: {inorder(__snake_case )}" )
						print(f"Pre-order Traversal: {preorder(__snake_case )}" )
						print(f"Post-order Traversal: {postorder(__snake_case )}" ,      '''\n''' )

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

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

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

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

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


if __name__ == "__main__":
				import doctest

				doctest.testmod()
				main()






def 	A_ (							snake_case							:   int = 10 ,      snake_case							:   int = 1000 ,      snake_case							:   bool = True )      ->    int:



						'''simple docstring'''

						assert (
						    isinstance(snake_case ,      snake_case )
						    and isinstance(snake_case ,      snake_case )
						    and isinstance(snake_case ,      snake_case )
						), "Invalid type of value(s) specified to function!"

						if min_val > max_val:
												raise ValueError('''Invalid value for min_val or max_val (min_value < max_value)''' )
						return min_val if option else max_val




def 	A_ (							snake_case							:   int ,      snake_case							:   int )      ->    int:



						'''simple docstring'''

						return int((number_a + number_a) / 2 )




def 	A_ (							snake_case							:   int ,      snake_case							:   int ,      snake_case							:   int )      ->    None:



						'''simple docstring'''

						assert (
						    isinstance(snake_case ,      snake_case ) and isinstance(snake_case ,      snake_case ) and isinstance(snake_case ,      snake_case )
						), 'argument values must be type of "int"'

						if lower > higher:
												raise ValueError('''argument value for lower and higher must be(lower > higher)''' )

						if not lower < to_guess < higher:
												raise ValueError(
												    '''guess value must be within the range of lower and higher value''' )

						def answer(snake_case							:   int ) -> str:
												if number > to_guess:
																		return "high"
												elif number < to_guess:
																		return "low"
												else:
																		return "same"

						print('''started...''' )

						__UpperCamelCase       =			lower
						__UpperCamelCase       =			higher

						__UpperCamelCase       =			[]

						while True:
												__UpperCamelCase       =			get_avg(snake_case ,      snake_case )
												last_numbers.append(snake_case )

												if answer(snake_case ) == "low":
																		__UpperCamelCase       =			number
												elif answer(snake_case ) == "high":
																		__UpperCamelCase       =			number
												else:
																		break

						print(f"guess the number : {last_numbers[-1]}" )
						print(f"details : {last_numbers!s}" )




def 	A_ (							)      ->    None:



						'''simple docstring'''

						__UpperCamelCase       =			int(input('''Enter lower value : ''' ).strip() )
						__UpperCamelCase       =			int(input('''Enter high value : ''' ).strip() )
						__UpperCamelCase       =			int(input('''Enter value to guess : ''' ).strip() )
						guess_the_number(snake_case ,      snake_case ,      snake_case )


if __name__ == "__main__":
				main()




