


'''simple docstring'''







from __future__ import annotations

from collections.abc import Iterable, Iterator
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:	Dict      ,							__UpperCamelCase:	T     )							->	None:
										__magic_name__				:					T						       =       value
										__magic_name__				:					SkewNode[T] | None						       =       None
										__magic_name__				:					SkewNode[T] | None						       =       None







						@property
						def lowerCAmelCase__ (  self:	Optional[int]     )							->	T:
										return self._value







						@staticmethod
						def lowerCAmelCase__ (  __UpperCamelCase:	SkewNode[T] | None      ,							__UpperCamelCase:	SkewNode[T] | None     )							->	SkewNode[T] | None:
										if not roota:
														return roota

										if not roota:
														return roota

										if roota.value > roota.value:
														__magic_name__       ,     __magic_name__				:					str						       =       roota, roota

										__magic_name__				:					Tuple						       =       roota
										__magic_name__				:					str						       =       roota.right
										__magic_name__				:					Optional[Any]						       =       roota.left
										__magic_name__				:					Any						       =       SkewNode.merge(__UpperCamelCase      ,							__UpperCamelCase     )

										return result






class 		_snake_case    (				Generic[T]		):






						'''simple docstring'''







						def __init__(  self:	Dict      ,							__UpperCamelCase:	Iterable[T] | None = ()     )							->	None:
										__magic_name__				:					SkewNode[T] | None						       =       None
										if data:
														for item in data:
																		self.insert(__UpperCamelCase     )







						def __bool__(  self:	Tuple     )							->	bool:
										return self._root is not None







						def __iter__(  self:	List[str]     )							->	Iterator[T]:
										__magic_name__				:					list[Any]						       =       []
										while self:
														result.append(self.pop()     )

										# Pushing items back to the heap not to clear it.
										for item in result:
														self.insert(__UpperCamelCase     )

										return iter(__UpperCamelCase     )







						def lowerCAmelCase__ (  self:	List[str]      ,							__UpperCamelCase:	T     )							->	None:
										__magic_name__				:					List[str]						       =       SkewNode.merge(self._root      ,							SkewNode(__UpperCamelCase     )     )







						def lowerCAmelCase__ (  self:	Tuple     )							->	T | None:
										__magic_name__				:					Dict						       =       self.top()
										__magic_name__				:					Dict						       =       (
										    SkewNode.merge(self._root.left      ,							self._root.right     ) if self._root else None
										)

										return result







						def lowerCAmelCase__ (  self:	List[str]     )							->	T:
										if not self._root:
														raise IndexError("Can't get top element for the empty heap."     )
										return self._root.value







						def lowerCAmelCase__ (  self:	str     )							->	None:
										__magic_name__				:					List[Any]						       =       None


if __name__ == "__main__":
		import doctest

		doctest.testmod()



'''simple docstring'''







def 						_UpperCamelCase							( UpperCamelCase__		):






				"""simple docstring"""



				if not isinstance(UpperCamelCase__     ,   UpperCamelCase__		) or number < 0:
								raise ValueError("Input must be a non-negative integer"		)

				__magic_name__				:					str						       =       number & ~(number - 1)
				__magic_name__				:					Optional[int]						       =       0
				while intermediate:
								intermediate >>= 1
								index += 1
				return index - 1


if __name__ == "__main__":
		import doctest

		doctest.testmod(verbose=True)