


'''simple docstring'''



from __future__ import annotations

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

__lowercase			:		List[Any] =			TypeVar('T', bound=bool)





class 							__UpperCamelCase       (	Generic[T]      ):




	def __init__(     self		,       __a							):

						'''simple docstring'''





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




	@property
	def    __UpperCAmelCase							(     self							):

						'''simple docstring'''





						return self._value





	@staticmethod
	def    __UpperCAmelCase							(     __a		,       __a							):

						'''simple docstring'''





						if not roota:
											return roota

						if not roota:
											return roota

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

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

						__a    : int      					=						RandomizedHeapNode.merge(roota.left		,       __a							)

						return roota





class 							__UpperCamelCase       (	Generic[T]      ):




	def __init__(     self		,       __a = ()							):

						'''simple docstring'''





						__a    : RandomizedHeapNode[T] | None      					=						None

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




	def    __UpperCAmelCase							(     self		,       __a							):

						'''simple docstring'''





						__a    : int      					=						RandomizedHeapNode.merge(self._root		,       RandomizedHeapNode(__a							)							)




	def    __UpperCAmelCase							(     self							):

						'''simple docstring'''





						__a    : Any      					=						self.top()

						if self._root is None:
											return None

						__a    : Optional[Any]      					=						RandomizedHeapNode.merge(self._root.left		,       self._root.right							)

						return result




	def    __UpperCAmelCase							(     self							):

						'''simple docstring'''





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




	def    __UpperCAmelCase							(     self							):

						'''simple docstring'''





						__a    : List[str]      					=						None




	def    __UpperCAmelCase							(     self							):

						'''simple docstring'''





						__a    : Tuple      					=						[]
						while self:
											result.append(self.pop()							)

						return result





	def __bool__(     self							):

						'''simple docstring'''





						return self._root is not None


if __name__ == "__main__":
	import doctest

	doctest.testmod()







'''simple docstring'''



def 						lowerCamelCase							(_SCREAMING_SNAKE_CASE   :     int = 30     ):
					__a    : Dict      					=						exponent + 2
					__a    : List[Any]      					=						(1 + 5**0.5) / 2
					__a    : Any      					=						(phi**fibonacci_index - (phi - 1) ** fibonacci_index) / 5**0.5

					return int(_SCREAMING_SNAKE_CASE     )


if __name__ == "__main__":
	print(f'''{solution() = }''')



