





from __future__ import annotations

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

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

class 		snake_case_      (       Generic[T]	):







	'''simple docstring'''




	def __init__(	self       :    Optional[int]				,			__lowerCamelCase       :    T      )					->   None:

			'''simple docstring'''




			__lowercase					=    value
			__lowercase					=    None
			__lowercase					=    None




	@property
	def       UpperCAmelCase (	self       :    Dict      )					->   T:

			'''simple docstring'''




			return self._value






	@staticmethod
	def       UpperCAmelCase (	__lowerCamelCase       :    RandomizedHeapNode[T] | None				,			__lowerCamelCase       :    RandomizedHeapNode[T] | None      )					->   RandomizedHeapNode[T] | None:

			'''simple docstring'''




			if not roota:
					return roota

			if not roota:
					return roota

			if roota.value > roota.value:
					__lowercase	,			__lowercase					=    roota, roota

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

			__lowercase					=    RandomizedHeapNode.merge(roota.left				,			__lowerCamelCase      )

			return roota





class 		snake_case_      (       Generic[T]	):







	'''simple docstring'''




	def __init__(	self       :    Tuple				,			__lowerCamelCase       :    Iterable[T] | None = ()      )					->   None:

			'''simple docstring'''




			__lowercase					=    None

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




	def       UpperCAmelCase (	self       :    List[Any]				,			__lowerCamelCase       :    T      )					->   None:

			'''simple docstring'''




			__lowercase					=    RandomizedHeapNode.merge(self._root				,			RandomizedHeapNode(__lowerCamelCase      )      )




	def       UpperCAmelCase (	self       :    Union[str, Any]      )					->   T | None:

			'''simple docstring'''




			__lowercase					=    self.top()

			if self._root is None:
					return None

			__lowercase					=    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[Any]      )					->   None:

			'''simple docstring'''




			__lowercase					=    None




	def       UpperCAmelCase (	self       :    str      )					->   list[Any]:

			'''simple docstring'''




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

			return result






	def __bool__(	self       :    Optional[int]      )					->   bool:

			'''simple docstring'''




			return self._root is not None


if __name__ == "__main__":
		import doctest

		doctest.testmod()











def    SCREAMING_SNAKE_CASE							(			snake_case       )		->						int:
		__lowercase					=    str(snake_case       ).strip()
		if not bin_string:
				raise ValueError('Empty string was passed to the function'       )
		__lowercase					=    bin_string[0] == '-'
		if is_negative:
				__lowercase					=    bin_string[1:]
		if not all(char in '01' for char in bin_string       ):
				raise ValueError('Non-binary value was passed to the function'       )
		__lowercase					=    0
		for char in bin_string:
				__lowercase					=    2 * decimal_number + int(snake_case       )
		return -decimal_number if is_negative else decimal_number


if __name__ == "__main__":
		from doctest import testmod

		testmod()




