






from __future__ import annotations

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


@dataclass
class 					_snake_case						:
	_A          =   42
	_A          =   None
	_A          =   None




def 					lowercase_ (    )     -> Node | None:





				'''simple docstring'''


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


def 					lowercase_ (    __snake_case     :							Node | None      )     -> list[int]:





				'''simple docstring'''


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


def 					lowercase_ (    __snake_case     :							Node | None      )     -> list[int]:





				'''simple docstring'''


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


def 					lowercase_ (    __snake_case     :							Node | None      )     -> list[int]:





				'''simple docstring'''


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


def 					lowercase_ (    __snake_case     :							Node | None      )     -> int:





				'''simple docstring'''


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


def 					lowercase_ (    __snake_case     :							Node | None      )     -> Sequence[Node | None]:





				'''simple docstring'''


				snake_case__      :list[Any]         =   []

				if root is None:
								return output

				snake_case__      :Tuple         =   deque([root]      )

				while process_queue:
								snake_case__      :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 					lowercase_ (    __snake_case     :							Node | None	,	__snake_case     :							int      )     -> Sequence[Node | None]:





				'''simple docstring'''


				snake_case__      :list[Any]         =   []

				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      )     -> Sequence[Node | None]:





				'''simple docstring'''


				snake_case__      :list[Any]         =   []

				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      )     -> Sequence[Node | None] | list[Any]:





				'''simple docstring'''


				if root is None:
								return []

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

				snake_case__      :List[str]         =   0
				snake_case__      :List[Any]         =   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      )      )
												snake_case__      :str         =   1
								else:
												output.append(get_nodes_from_right_to_left(__snake_case	,	__snake_case      )      )
												snake_case__      :Union[str, Any]         =   0

				return output


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





				'''simple docstring'''


				snake_case__      :Optional[Any]         =   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

import math





def 					lowercase_ (    __snake_case     :							int	,	__snake_case     :							int	,	__snake_case     :							bool	,	__snake_case     :							list[int]	,	__snake_case     :							float      )     -> int:





				'''simple docstring'''


				if depth < 0:
								raise ValueError("Depth cannot be less than 0"      )

				if len(__snake_case      ) == 0:
								raise ValueError("Scores cannot be empty"      )

				if depth == height:
								return scores[node_index]

				if is_max:
								return max(
								    minimax(depth + 1	,	node_index * 2	,	__snake_case	,	__snake_case	,	__snake_case      )	,	minimax(depth + 1	,	node_index * 2 + 1	,	__snake_case	,	__snake_case	,	__snake_case      )	,	)

				return min(
				    minimax(depth + 1	,	node_index * 2	,	__snake_case	,	__snake_case	,	__snake_case      )	,	minimax(depth + 1	,	node_index * 2 + 1	,	__snake_case	,	__snake_case	,	__snake_case      )	,	)





def 					lowercase_ (    )     -> None:





				'''simple docstring'''


				snake_case__      :List[Any]         =   [90, 23, 6, 33, 21, 65, 1_23, 3_44_23]
				snake_case__      :int         =   math.log(len(__snake_case      )	,	2      )
				print("Optimal value : "	,	end=""      )
				print(minimax(0	,	0	,	__snake_case	,	__snake_case	,	__snake_case      )      )


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()