



'''simple docstring'''
from __future__ import annotations

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

_UpperCamelCase											=			TypeVar('''T''', bound=bool)



class _A  (    Generic[T]    ):





		def __init__(     self ,       __UpperCAmelCase				)       ->     None:

					'''simple docstring'''
					__UpperCAmelCase   :      T										=     value
					__UpperCAmelCase   :      RandomizedHeapNode[T] | None										=     None
					__UpperCAmelCase   :      RandomizedHeapNode[T] | None										=     None





		@property
		def 							__A       (     self				)       ->     T:

					'''simple docstring'''
					return self._value





		@staticmethod
		def 							__A       (     __UpperCAmelCase ,       __UpperCAmelCase				)       ->     RandomizedHeapNode[T] | None:

					'''simple docstring'''
					if not roota:
								return roota

					if not roota:
								return roota

					if roota.value > roota.value:
								__UpperCAmelCase				,  __UpperCAmelCase   :      Optional[Any]										=     roota, roota

					if random.choice([True, False]				):
								__UpperCAmelCase				,  __UpperCAmelCase   :      Optional[int]										=     roota.right, roota.left

					__UpperCAmelCase   :      List[Any]										=     RandomizedHeapNode.merge(roota.left ,       __UpperCAmelCase				)

					return roota



class _A  (    Generic[T]    ):





		def __init__(     self ,       __UpperCAmelCase = ()				)       ->     None:

					'''simple docstring'''
					__UpperCAmelCase   :      RandomizedHeapNode[T] | None										=     None

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





		def 							__A       (     self ,       __UpperCAmelCase				)       ->     None:

					'''simple docstring'''
					__UpperCAmelCase   :      str										=     RandomizedHeapNode.merge(self._root ,       RandomizedHeapNode(__UpperCAmelCase				)				)





		def 							__A       (     self				)       ->     T | None:

					'''simple docstring'''
					__UpperCAmelCase   :      Union[str, Any]										=     self.top()

					if self._root is None:
								return None

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

					return result





		def 							__A       (     self				)       ->     T:

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





		def 							__A       (     self				)       ->     None:

					'''simple docstring'''
					__UpperCAmelCase   :      int										=     None





		def 							__A       (     self				)       ->     list[Any]:

					'''simple docstring'''
					__UpperCAmelCase   :      int										=     []
					while self:
								result.append(self.pop()				)

					return result





		def __bool__(     self				)       ->     bool:

					'''simple docstring'''
					return self._root is not None


if __name__ == "__main__":
					import doctest

					doctest.testmod()









'''simple docstring'''
from __future__ import annotations

from typing import Any



class _A  :





		def __init__(     self ,       __UpperCAmelCase ,       __UpperCAmelCase				)       ->     None:  # noqa: A002

					'''simple docstring'''
					__UpperCAmelCase   :      Tuple										=     item
					__UpperCAmelCase   :      str										=     next



class _A  :





		def __init__(     self				)       ->     None:

					'''simple docstring'''
					__UpperCAmelCase   :      Node | None										=     None
					__UpperCAmelCase   :      Optional[int]										=     0





		def 							__A       (     self ,       __UpperCAmelCase				)       ->     None:

					'''simple docstring'''
					__UpperCAmelCase   :      Optional[Any]										=     Node(__UpperCAmelCase ,       self.head				)
					self.size += 1





		def 							__A       (     self				)       ->     Any:

					'''simple docstring'''
					# Switched 'self.is_empty()' to 'self.head is None'
					# because mypy was considering the possibility that 'self.head'
					# can be None in below else part and giving error
					if self.head is None:
								return None
					else:
								__UpperCAmelCase   :      str										=     self.head.item
								__UpperCAmelCase   :      Tuple										=     self.head.next
								self.size -= 1
								return item





		def 							__A       (     self				)       ->     bool:

					'''simple docstring'''
					return self.head is None





		def __str__(     self				)       ->     str:

					'''simple docstring'''
					if self.is_empty():
								return ""
					else:
								__UpperCAmelCase   :      Union[str, Any]										=     self.head
								__UpperCAmelCase   :      List[Any]										=     """"""
								__UpperCAmelCase   :      list[str]										=     []
								while iterate:
											item_list.append(str(iterate.item				)				)
											__UpperCAmelCase   :      Any										=     iterate.next

								__UpperCAmelCase   :      Dict										=     """ --> """.join(__UpperCAmelCase				)

								return item_str





		def __len__(     self				)       ->     int:

					'''simple docstring'''
					return self.size




