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


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


class KeyedItem(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, KeyedItem[_DT]]) -> bool:
        ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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