





from __future__ import annotations

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

_SCREAMING_SNAKE_CASE   						=		TypeVar("""T""", bound=bool)
class SCREAMING_SNAKE_CASE_    (       Generic[T]       ):






						def __init__(   self   :   str		, _A   :   T						)				->     None:







							"""simple docstring"""


							snake_case_		:      T           =						value
							snake_case_		:      RandomizedHeapNode[T] | None           =						None
							snake_case_		:      RandomizedHeapNode[T] | None           =						None






						@property
						def UpperCAmelCase_					(   self   :   List[Any]						)				->     T:







							"""simple docstring"""


							return self._value






						@staticmethod
						def UpperCAmelCase_					(   _A   :   RandomizedHeapNode[T] | None		, _A   :   RandomizedHeapNode[T] | None						)				->     RandomizedHeapNode[T] | None:







							"""simple docstring"""


							if not roota:
								return roota

							if not roota:
								return roota

							if roota.value > roota.value:
								snake_case_    ,snake_case_		:      Optional[int]           =						roota, roota

							if random.choice([True, False]						):
								snake_case_    ,snake_case_		:      Any           =						roota.right, roota.left

							snake_case_		:      List[str]           =						RandomizedHeapNode.merge(roota.left		, _A						)

							return roota
class SCREAMING_SNAKE_CASE_    (       Generic[T]       ):






						def __init__(   self   :   Optional[int]		, _A   :   Iterable[T] | None = ()						)				->     None:







							"""simple docstring"""


							snake_case_		:      RandomizedHeapNode[T] | None           =						None

							if data:
								for item in data:
									self.insert(_A						)






						def UpperCAmelCase_					(   self   :   Union[str, Any]		, _A   :   T						)				->     None:







							"""simple docstring"""


							snake_case_		:      Optional[Any]           =						RandomizedHeapNode.merge(self._root		, RandomizedHeapNode(_A						)						)






						def UpperCAmelCase_					(   self   :   Tuple						)				->     T | None:







							"""simple docstring"""


							snake_case_		:      Union[str, Any]           =						self.top()

							if self._root is None:
								return None

							snake_case_		:      Tuple           =						RandomizedHeapNode.merge(self._root.left		, self._root.right						)

							return result






						def UpperCAmelCase_					(   self   :   str						)				->     T:







							"""simple docstring"""


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






						def UpperCAmelCase_					(   self   :   List[str]						)				->     None:







							"""simple docstring"""


							snake_case_		:      Union[str, Any]           =						None






						def UpperCAmelCase_					(   self   :   Union[str, Any]						)				->     list[Any]:







							"""simple docstring"""


							snake_case_		:      Any           =						[]
							while self:
								result.append(self.pop()						)

							return result






						def __bool__(   self   :   str						)				->     bool:







							"""simple docstring"""


							return self._root is not None


if __name__ == "__main__":
						import doctest

						doctest.testmod()








def 				SCREAMING_SNAKE_CASE__    (     __a ,			__a ):
	if not root or root not in binary_tree_mirror_dictionary:
		return
	snake_case_    ,snake_case_		:      Tuple           =						binary_tree_mirror_dictionary[root][:2]
	snake_case_		:      List[str]           =						[right_child, left_child]
	binary_tree_mirror_dict(__a ,			__a )
	binary_tree_mirror_dict(__a ,			__a )


def 				SCREAMING_SNAKE_CASE__    (     __a ,			__a = 1 ):
	if not binary_tree:
		raise ValueError('binary tree cannot be empty' )
	if root not in binary_tree:
		snake_case_		:      Dict           =						f"""root {root} is not present in the binary_tree"""
		raise ValueError(__a )
	snake_case_		:      Any           =						dict(__a )
	binary_tree_mirror_dict(__a ,			__a )
	return binary_tree_mirror_dictionary


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

