from typing import Any, Generic, Generator, Iterable, List, Optional, overload, Tuple, TypeVar, Union


_DT = TypeVar('_DT') # data type
_T = TypeVar('_T') # any type


class Item(Generic[_DT]):
	@property
	def key(self) -> str:
		...

	@property
	def value(self) -> float:
		...

	@property
	def data(self) -> _DT:
		...

	def __eq__(self, other: Any) -> bool:
		...

	def __ne__(self, other: Any) -> bool:
		...


class KeyedPQ(Generic[_DT]):
	@overload
	def __init__(self, max_heap: bool=False) -> None:
		...

	@overload
	def __init__(self, iterable: Iterable[Tuple[str, float, _DT]], max_heap: bool=False) -> None:
		...

	def __len__(self) -> int:
		...

	def __contains__(self, identifier: Union[str, Item[_DT]]) -> bool:
		...

	def __iter__(self) -> Generator[Item[_DT], None, None]:
		...

	def __getitem__(self, identifier: Union[str, Item[_DT]]) -> Item[_DT]:
		...

	def __delitem__(self, identifier: Union[str, Item[_DT]]) -> None:
		...

	def __eq__(self, other: Any) -> bool:
		...

	def __ne__(self, other: Any) -> bool:
		...

	@overload
	def get(self, identifier: Union[str, Item[_DT]]) -> Optional[Item[_DT]]:
		...

	@overload
	def get(self, identifier: Union[str, Item[_DT]], default: Union[Item[_DT], _T]) -> Union[Item[_DT], _T]:
		...

	def clear(self) -> None:
		...

	def add(self, key: str, value: float, data: _DT) -> Item[_DT]:
		...

	def items(self) -> Generator[Tuple[str, Item[_DT]], None, None]:
		...

	def keys(self) -> Generator[str, None, None]:
		...

	def values(self) -> Generator[Item[_DT], None, None]:
		...

	def change_value(self, identifier: Union[str, Item[_DT]], value: float) -> Item[_DT]:
		...

	def add_or_change_value(self, key: str, value: float, data: _DT) -> Item[_DT]:
		...

	def peek(self) -> Item[_DT]:
		...

	def pop(self) -> Tuple[str, float, _DT]:
		...

	def ordered_iter(self) -> Generator[Item[_DT], None, None]:
		...

	def _export(self) -> List[float]:
		...

	def _verify_invariants(self) -> bool:
		...
