




from __future__ import annotations

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

lowercase_      :							Dict    							=					TypeVar('T', bound=bool)






class        __lowerCAmelCase					(			Generic[T]					):







			def __init__(			self       :     Tuple       ,       snake_case__       :     T ):




									"""simple docstring"""


									_UpperCAmelCase						=	value
									_UpperCAmelCase						=	None
									_UpperCAmelCase						=	None







			@property
			def UpperCamelCase     (			self       :     Dict ):




									"""simple docstring"""


									return self._value







			@staticmethod
			def UpperCamelCase     (			snake_case__       :     RandomizedHeapNode[T] | None       ,       snake_case__       :     RandomizedHeapNode[T] | None ):




									"""simple docstring"""


									if not roota:
															return roota

									if not roota:
															return roota

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

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

									_UpperCAmelCase						=	RandomizedHeapNode.merge(roota.left       ,       snake_case__ )

									return roota






class        __lowerCAmelCase					(			Generic[T]					):







			def __init__(			self       :     str       ,       snake_case__       :     Iterable[T] | None = () ):




									"""simple docstring"""


									_UpperCAmelCase						=	None

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







			def UpperCamelCase     (			self       :     Tuple       ,       snake_case__       :     T ):




									"""simple docstring"""


									_UpperCAmelCase						=	RandomizedHeapNode.merge(self._root       ,       RandomizedHeapNode(snake_case__ ) )







			def UpperCamelCase     (			self       :     Tuple ):




									"""simple docstring"""


									_UpperCAmelCase						=	self.top()

									if self._root is None:
															return None

									_UpperCAmelCase						=	RandomizedHeapNode.merge(self._root.left       ,       self._root.right )

									return result







			def UpperCamelCase     (			self       :     List[str] ):




									"""simple docstring"""


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







			def UpperCamelCase     (			self       :     Any ):




									"""simple docstring"""


									_UpperCAmelCase						=	None







			def UpperCamelCase     (			self       :     Optional[Any] ):




									"""simple docstring"""


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

									return result







			def __bool__(			self       :     Optional[Any] ):




									"""simple docstring"""


									return self._root is not None


if __name__ == "__main__":
				import doctest

				doctest.testmod()










def 				__SCREAMING_SNAKE_CASE    (     snake_case_		):

						'''simple docstring'''


						return int(snake_case_		) if x - int(snake_case_		) >= 0 else int(snake_case_		) - 1


if __name__ == "__main__":
				import doctest

				doctest.testmod()




