






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   :   int
		_snake_case   :   Node | None							=  None
		_snake_case   :   Node | None							=  None





def 					lowercase__				(					):


					'''simple docstring'''


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




def 					lowercase__				(					__snake_case   :							Node | None  ):


					'''simple docstring'''


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




def 					lowercase__				(					__snake_case   :							Node | None  ):


					'''simple docstring'''


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




def 					lowercase__				(					__snake_case   :							Node | None  ):


					'''simple docstring'''


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




def 					lowercase__				(					__snake_case   :							Node | None  ):


					'''simple docstring'''


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




def 					lowercase__				(					__snake_case   :							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 					lowercase__				(					__snake_case   :							Node | None					,	__snake_case   :							int  ):


					'''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 					lowercase__				(					__snake_case   :							Node | None					,	__snake_case   :							int  ):


					'''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 					lowercase__				(					__snake_case   :							Node | None  ):


					'''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 					lowercase__				(					):  # 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()














from __future__ import annotations




def 					lowercase__				(					__snake_case   :							list[int]					,	__snake_case   :							int  ):


					'''simple docstring'''


					if len(__snake_case  ) == 0:
										return False
					UpperCAmelCase_   :				Optional[int]						=						len(__snake_case  ) // 2
					if a_list[midpoint] == item:
										return True
					if item < a_list[midpoint]:
										return binary_search(a_list[:midpoint]					,	__snake_case  )
					else:
										return binary_search(a_list[midpoint + 1 :]					,	__snake_case  )


if __name__ == "__main__":
		__UpperCAmelCase     							=						input('Enter numbers separated by comma:\n').strip()
		__UpperCAmelCase     							=						[int(item.strip()) for item in user_input.split(',')]
		__UpperCAmelCase     							=						int(input('Enter the number to be found in the list:\n').strip())
		__UpperCAmelCase     							=						'' if binary_search(sequence, target) else 'not '
		print(F'{target} was {not_str}found in {sequence}')






