

'''simple docstring'''


def     SCREAMING_SNAKE_CASE(	UpperCamelCase ,UpperCamelCase	)     ->     Dict:
	if not root or root not in binary_tree_mirror_dictionary:
		return
	UpperCAmelCase_						,     UpperCAmelCase_		:   Dict													=       binary_tree_mirror_dictionary[root][:2]
	UpperCAmelCase_		:   List[Any]													=       [right_child, left_child]
	binary_tree_mirror_dict(UpperCamelCase ,UpperCamelCase	)
	binary_tree_mirror_dict(UpperCamelCase ,UpperCamelCase	)







def     SCREAMING_SNAKE_CASE(	UpperCamelCase ,UpperCamelCase = 1	)     ->     dict:
	if not binary_tree:
		raise ValueError('binary tree cannot be empty'	)
	if root not in binary_tree:
		UpperCAmelCase_		:   Optional[int]													=       f"""root {root} is not present in the binary_tree"""
		raise ValueError(UpperCamelCase	)
	UpperCAmelCase_		:   List[str]													=       dict(UpperCamelCase	)
	binary_tree_mirror_dict(UpperCamelCase ,UpperCamelCase	)
	return binary_tree_mirror_dictionary


if __name__ == "__main__":
						lowerCAmelCase__      				=			{1: [2, 3], 2: [4, 5], 3: [6, 7], 7: [8, 9]}
						print(F'Binary tree: {binary_tree}')
						lowerCAmelCase__      				=			binary_tree_mirror(binary_tree, 5)
						print(F'Binary tree mirror: {binary_tree_mirror_dictionary}')









'''simple docstring'''


from __future__ import annotations

from collections.abc import Iterable, Iterator
from typing import Any, Generic, TypeVar

lowerCAmelCase__      				=			TypeVar("T", bound=bool)



class        lowercase    (	Generic[T]			):


							def __init__(      self     ,      _snake_case)				->					None:
								UpperCAmelCase_		:   T													=       value
								UpperCAmelCase_		:   SkewNode[T] | None													=       None
								UpperCAmelCase_		:   SkewNode[T] | None													=       None


							@property
							def     _snake_case				(      self)				->					T:
								return self._value





							@staticmethod
							def     _snake_case				(      _snake_case     ,      _snake_case)				->					SkewNode[T] | None:
								if not roota:
									return roota

								if not roota:
									return roota

								if roota.value > roota.value:
									UpperCAmelCase_						,     UpperCAmelCase_		:   Union[str, Any]													=       roota, roota

								UpperCAmelCase_		:   Dict													=       roota
								UpperCAmelCase_		:   Dict													=       roota.right
								UpperCAmelCase_		:   Optional[int]													=       roota.left
								UpperCAmelCase_		:   Dict													=       SkewNode.merge(_snake_case     ,      _snake_case)

								return result



class        lowercase    (	Generic[T]			):


							def __init__(      self     ,      _snake_case = ())				->					None:
								UpperCAmelCase_		:   SkewNode[T] | None													=       None
								if data:
									for item in data:
										self.insert(_snake_case)


							def __bool__(      self)				->					bool:
								return self._root is not None


							def __iter__(      self)				->					Iterator[T]:
								UpperCAmelCase_		:   list[Any]													=       []
								while self:
									result.append(self.pop())

								# Pushing items back to the heap not to clear it.
								for item in result:
									self.insert(_snake_case)

								return iter(_snake_case)


							def     _snake_case				(      self     ,      _snake_case)				->					None:
								UpperCAmelCase_		:   Any													=       SkewNode.merge(self._root     ,      SkewNode(_snake_case))


							def     _snake_case				(      self)				->					T | None:
								UpperCAmelCase_		:   Union[str, Any]													=       self.top()
								UpperCAmelCase_		:   Tuple													=       (
								    SkewNode.merge(self._root.left     ,      self._root.right) if self._root else None
								)

								return result


							def     _snake_case				(      self)				->					T:
								if not self._root:
									raise IndexError('Can\'t get top element for the empty heap.')
								return self._root.value





							def     _snake_case				(      self)				->					None:
								UpperCAmelCase_		:   Union[str, Any]													=       None


if __name__ == "__main__":
						import doctest

						doctest.testmod()






