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# Source code for typing

    """
    The typing module: Support for gradual typing as defined by PEP 484.

    At large scale, the structure of the module is following:
    * Imports and exports, all public names should be explicitly added to __all__.
    * Internal helper functions: these should never be used in code outside this module.
    * _SpecialForm and its instances (special forms):
      Any, NoReturn, ClassVar, Union, Optional, Concatenate
    * Classes whose instances can be type arguments in addition to types:
      ForwardRef, TypeVar and ParamSpec
    * The core of internal generics API: _GenericAlias and _VariadicGenericAlias, the latter is
      currently only used by Tuple and Callable. All subscripted types like X[int], Union[int, str],
      etc., are instances of either of these classes.
    * The public counterpart of the generics API consists of two classes: Generic and Protocol.
    * Public helper functions: get_type_hints, overload, cast, no_type_check,
      no_type_check_decorator.
    * Generic aliases for collections.abc ABCs and few additional protocols.
    * Special types: NewType, NamedTuple, TypedDict.
    * Wrapper submodules for re and io related types.
    """

    from abc import abstractmethod, ABCMeta
    import collections
    import collections.abc
    import contextlib
    import functools
    import operator
    import re as stdlib_re  # Avoid confusion with the re we export.
    import sys
    import types
    from types import WrapperDescriptorType, MethodWrapperType, MethodDescriptorType, GenericAlias

    # Please keep __all__ alphabetized within each category.
    __all__ = [
        # Super-special typing primitives.
        'Annotated',
        'Any',
        'Callable',
        'ClassVar',
        'Concatenate',
        'Final',
        'ForwardRef',
        'Generic',
        'Literal',
        'Optional',
        'ParamSpec',
        'Protocol',
        'Tuple',
        'Type',
        'TypeVar',
        'Union',

        # ABCs (from collections.abc).
        'AbstractSet',  # collections.abc.Set.
        'ByteString',
        'Container',
        'ContextManager',
        'Hashable',
        'ItemsView',
        'Iterable',
        'Iterator',
        'KeysView',
        'Mapping',
        'MappingView',
        'MutableMapping',
        'MutableSequence',
        'MutableSet',
        'Sequence',
        'Sized',
        'ValuesView',
        'Awaitable',
        'AsyncIterator',
        'AsyncIterable',
        'Coroutine',
        'Collection',
        'AsyncGenerator',
        'AsyncContextManager',

        # Structural checks, a.k.a. protocols.
        'Reversible',
        'SupportsAbs',
        'SupportsBytes',
        'SupportsComplex',
        'SupportsFloat',
        'SupportsIndex',
        'SupportsInt',
        'SupportsRound',

        # Concrete collection types.
        'ChainMap',
        'Counter',
        'Deque',
        'Dict',
        'DefaultDict',
        'List',
        'OrderedDict',
        'Set',
        'FrozenSet',
        'NamedTuple',  # Not really a type.
        'TypedDict',  # Not really a type.
        'Generator',

        # Other concrete types.
        'BinaryIO',
        'IO',
        'Match',
        'Pattern',
        'TextIO',

        # One-off things.
        'AnyStr',
        'cast',
        'final',
        'get_args',
        'get_origin',
        'get_type_hints',
        'is_typeddict',
        'NewType',
        'no_type_check',
        'no_type_check_decorator',
        'NoReturn',
        'overload',
        'ParamSpecArgs',
        'ParamSpecKwargs',
        'runtime_checkable',
        'Text',
        'TYPE_CHECKING',
        'TypeAlias',
        'TypeGuard',
    ]

    # The pseudo-submodules 're' and 'io' are part of the public
    # namespace, but excluded from __all__ because they might stomp on
    # legitimate imports of those modules.

    def _type_convert(arg, module=None, *, allow_special_forms=False):
        """For converting None to type(None), and strings to ForwardRef."""
        if arg is None:
            return type(None)
        if isinstance(arg, str):
            return ForwardRef(arg, module=module, is_class=allow_special_forms)
        return arg

    def _type_check(arg, msg, is_argument=True, module=None, *, allow_special_forms=False):
        """Check that the argument is a type, and return it (internal helper).

        As a special case, accept None and return type(None) instead. Also wrap strings
        into ForwardRef instances. Consider several corner cases, for example plain
        special forms like Union are not valid, while Union[int, str] is OK, etc.
        The msg argument is a human-readable error message, e.g::

            "Union[arg, ...]: arg should be a type."

        We append the repr() of the actual value (truncated to 100 chars).
        """
        invalid_generic_forms = (Generic, Protocol)
        if not allow_special_forms:
            invalid_generic_forms += (ClassVar,)
            if is_argument:
                invalid_generic_forms += (Final,)

        arg = _type_convert(arg, module=module, allow_special_forms=allow_special_forms)
        if (isinstance(arg, _GenericAlias) and
                arg.__origin__ in invalid_generic_forms):
            raise TypeError(f"{arg} is not valid as type argument")
        if arg in (Any, NoReturn, Final, TypeAlias):
            return arg
        if isinstance(arg, _SpecialForm) or arg in (Generic, Protocol):
            raise TypeError(f"Plain {arg} is not valid as type argument")
        if isinstance(arg, (type, TypeVar, ForwardRef, types.UnionType, ParamSpec,
                            ParamSpecArgs, ParamSpecKwargs)):
            return arg
        if not callable(arg):
            raise TypeError(f"{msg} Got {arg!r:.100}.")
        return arg

    def _is_param_expr(arg):
        return arg is ... or isinstance(arg,
                (tuple, list, ParamSpec, _ConcatenateGenericAlias))

    def _type_repr(obj):
        """Return the repr() of an object, special-casing types (internal helper).

        If obj is a type, we return a shorter version than the default
        type.__repr__, based on the module and qualified name, which is
        typically enough to uniquely identify a type.  For everything
        else, we fall back on repr(obj).
        """
        if isinstance(obj, types.GenericAlias):
            return repr(obj)
        if isinstance(obj, type):
            if obj.__module__ == 'builtins':
                return obj.__qualname__
            return f'{obj.__module__}.{obj.__qualname__}'
        if obj is ...:
            return('...')
        if isinstance(obj, types.FunctionType):
            return obj.__name__
        return repr(obj)

    def _collect_type_vars(types_, typevar_types=None):
        """Collect all type variable contained
        in types in order of first appearance (lexicographic order). For example::

            _collect_type_vars((T, List[S, T])) == (T, S)
        """
        if typevar_types is None:
            typevar_types = TypeVar
        tvars = []
        for t in types_:
            if isinstance(t, typevar_types) and t not in tvars:
                tvars.append(t)
            if isinstance(t, (_GenericAlias, GenericAlias, types.UnionType)):
                tvars.extend([t for t in t.__parameters__ if t not in tvars])
        return tuple(tvars)

    def _check_generic(cls, parameters, elen):
        """Check correct count for parameters of a generic cls (internal helper).
        This gives a nice error message in case of count mismatch.
        """
        if not elen:
            raise TypeError(f"{cls} is not a generic class")
        alen = len(parameters)
        if alen != elen:
            raise TypeError(f"Too {'many' if alen > elen else 'few'} arguments for {cls};"
                            f" actual {alen}, expected {elen}")

    def _prepare_paramspec_params(cls, params):
        """Prepares the parameters for a Generic containing ParamSpec
        variables (internal helper).
        """
        # Special case where Z[[int, str, bool]] == Z[int, str, bool] in PEP 612.
        if (len(cls.__parameters__) == 1
                and params and not _is_param_expr(params[0])):
            assert isinstance(cls.__parameters__[0], ParamSpec)
            return (params,)
        else:
            _check_generic(cls, params, len(cls.__parameters__))
            _params = []
            # Convert lists to tuples to help other libraries cache the results.
            for p, tvar in zip(params, cls.__parameters__):
                if isinstance(tvar, ParamSpec) and isinstance(p, list):
                    p = tuple(p)
                _params.append(p)
            return tuple(_params)

    def _deduplicate(params):
        # Weed out strict duplicates, preserving the first of each occurrence.
        all_params = set(params)
        if len(all_params) < len(params):
            new_params = []
            for t in params:
                if t in all_params:
                    new_params.append(t)
                    all_params.remove(t)
            params = new_params
            assert not all_params, all_params
        return params

    def _remove_dups_flatten(parameters):
        """An internal helper for Union creation and substitution: flatten Unions
        among parameters, then remove duplicates.
        """
        # Flatten out Union[Union[...], ...].
        params = []
        for p in parameters:
            if isinstance(p, (_UnionGenericAlias, types.UnionType)):
                params.extend(p.__args__)
            elif isinstance(p, tuple) and len(p) > 0 and p[0] is Union:
                params.extend(p[1:])
            else:
                params.append(p)

        return tuple(_deduplicate(params))

    def _flatten_literal_params(parameters):
        """An internal helper for Literal creation: flatten Literals among parameters"""
        params = []
        for p in parameters:
            if isinstance(p, _LiteralGenericAlias):
                params.extend(p.__args__)
            else:
                params.append(p)
        return tuple(params)

    _cleanups = []

    def _tp_cache(func=None, /, *, typed=False):
        """Internal wrapper caching __getitem__ of generic types with a fallback to
        original function for non-hashable arguments.
        """
        def decorator(func):
            cached = functools.lru_cache(typed=typed)(func)
            _cleanups.append(cached.cache_clear)

            @functools.wraps(func)
            def inner(*args, **kwds):
                try:
                    return cached(*args, **kwds)
                except TypeError:
                    pass  # All real errors (not unhashable args) are raised below.
                return func(*args, **kwds)
            return inner

        if func is not None:
            return decorator(func)

        return decorator

    def _eval_type(t, globalns, localns, recursive_guard=frozenset()):
        """Evaluate all forward references in the given type t.
        For use of globalns and localns see the docstring for get_type_hints().
        recursive_guard is used to prevent infinite recursion with a recursive
        ForwardRef.
        """
        if isinstance(t, ForwardRef):
            return t._evaluate(globalns, localns, recursive_guard)
        if isinstance(t, (_GenericAlias, GenericAlias, types.UnionType)):
            ev_args = tuple(_eval_type(a, globalns, localns, recursive_guard) for a in t.__args__)
            if ev_args == t.__args__:
                return t
            if isinstance(t, GenericAlias):
                return GenericAlias(t.__origin__, ev_args)
            if isinstance(t, types.UnionType):
                return functools.reduce(operator.or_, ev_args)
            else:
                return t.copy_with(ev_args)
        return t

    class _Final:
        """Mixin to prohibit subclassing"""

        __slots__ = ('__weakref__',)

        def __init_subclass__(self, /, *args, **kwds):
            if '_root' not in kwds:
                raise TypeError("Cannot subclass special typing classes")

    class _Immutable:
        """Mixin to indicate that object should not be copied."""
        __slots__ = ()

        def __copy__(self):
            return self

        def __deepcopy__(self, memo):
            return self

    # Internal indicator of special typing constructs.
    # See __doc__ instance attribute for specific docs.
    class _SpecialForm(_Final, _root=True):
        __slots__ = ('_name', '__doc__', '_getitem')

        def __init__(self, getitem):
            self._getitem = getitem
            self._name = getitem.__name__
            self.__doc__ = getitem.__doc__

        def __getattr__(self, item):
            if item in {'__name__', '__qualname__'}:
                return self._name

            raise AttributeError(item)

        def __mro_entries__(self, bases):
            raise TypeError(f"Cannot subclass {self!r}")

        def __repr__(self):
            return 'typing.' + self._name

        def __reduce__(self):
            return self._name

        def __call__(self, *args, **kwds):
            raise TypeError(f"Cannot instantiate {self!r}")

        def __or__(self, other):
            return Union[self, other]

        def __ror__(self, other):
            return Union[other, self]

        def __instancecheck__(self, obj):
            raise TypeError(f"{self} cannot be used with isinstance()")

        def __subclasscheck__(self, cls):
            raise TypeError(f"{self} cannot be used with issubclass()")

        @_tp_cache
        def __getitem__(self, parameters):
            return self._getitem(self, parameters)

    class _LiteralSpecialForm(_SpecialForm, _root=True):
        def __getitem__(self, parameters):
            if not isinstance(parameters, tuple):
                parameters = (parameters,)
            return self._getitem(self, *parameters)

    @_SpecialForm
    def Any(self, parameters):
        """Special type indicating an unconstrained type.

        - Any is compatible with every type.
        - Any assumed to have all methods.
        - All values assumed to be instances of Any.

        Note that all the above statements are true from the point of view of
        static type checkers. At runtime, Any should not be used with instance
        or class checks.
        """
        raise TypeError(f"{self} is not subscriptable")

    @_SpecialForm
    def NoReturn(self, parameters):
        """Special type indicating functions that never return.
        Example::

          from typing import NoReturn

          def stop() -> NoReturn:
              raise Exception('no way')

        This type is invalid in other positions, e.g., ``List[NoReturn]``
        will fail in static type checkers.
        """
        raise TypeError(f"{self} is not subscriptable")

    @_SpecialForm
    def ClassVar(self, parameters):
        """Special type construct to mark class variables.

        An annotation wrapped in ClassVar indicates that a given
        attribute is intended to be used as a class variable and
        should not be set on instances of that class. Usage::

          class Starship:
              stats: ClassVar[Dict[str, int]] = {} # class variable
              damage: int = 10                     # instance variable

        ClassVar accepts only types and cannot be further subscribed.

        Note that ClassVar is not a class itself, and should not
        be used with isinstance() or issubclass().
        """
        item = _type_check(parameters, f'{self} accepts only single type.')
        return _GenericAlias(self, (item,))

    @_SpecialForm
    def Final(self, parameters):
        """Special typing construct to indicate final names to type checkers.

        A final name cannot be re-assigned or overridden in a subclass.
        For example:

          MAX_SIZE: Final = 9000
          MAX_SIZE += 1  # Error reported by type checker

          class Connection:
              TIMEOUT: Final[int] = 10

          class FastConnector(Connection):
              TIMEOUT = 1  # Error reported by type checker

        There is no runtime checking of these properties.
        """
        item = _type_check(parameters, f'{self} accepts only single type.')
        return _GenericAlias(self, (item,))

    @_SpecialForm
    def Union(self, parameters):
        """Union type; Union[X, Y] means either X or Y.

        To define a union, use e.g. Union[int, str].  Details:
        - The arguments must be types and there must be at least one.
        - None as an argument is a special case and is replaced by
          type(None).
        - Unions of unions are flattened, e.g.::

            Union[Union[int, str], float] == Union[int, str, float]

        - Unions of a single argument vanish, e.g.::

            Union[int] == int  # The constructor actually returns int

        - Redundant arguments are skipped, e.g.::

            Union[int, str, int] == Union[int, str]

        - When comparing unions, the argument order is ignored, e.g.::

            Union[int, str] == Union[str, int]

        - You cannot subclass or instantiate a union.
        - You can use Optional[X] as a shorthand for Union[X, None].
        """
        if parameters == ():
            raise TypeError("Cannot take a Union of no types.")
        if not isinstance(parameters, tuple):
            parameters = (parameters,)
        msg = "Union[arg, ...]: each arg must be a type."
        parameters = tuple(_type_check(p, msg) for p in parameters)
        parameters = _remove_dups_flatten(parameters)
        if len(parameters) == 1:
            return parameters[0]
        if len(parameters) == 2 and type(None) in parameters:
            return _UnionGenericAlias(self, parameters, name="Optional")
        return _UnionGenericAlias(self, parameters)

    @_SpecialForm
    def Optional(self, parameters):
        """Optional type.

        Optional[X] is equivalent to Union[X, None].
        """
        arg = _type_check(parameters, f"{self} requires a single type.")
        return Union[arg, type(None)]

    @_LiteralSpecialForm
    @_tp_cache(typed=True)
    def Literal(self, *parameters):
        """Special typing form to define literal types (a.k.a. value types).

        This form can be used to indicate to type checkers that the corresponding
        variable or function parameter has a value equivalent to the provided
        literal (or one of several literals):

          def validate_simple(data: Any) -> Literal[True]:  # always returns True
              ...

          MODE = Literal['r', 'rb', 'w', 'wb']
          def open_helper(file: str, mode: MODE) -> str:
              ...

          open_helper('/some/path', 'r')  # Passes type check
          open_helper('/other/path', 'typo')  # Error in type checker

        Literal[...] cannot be subclassed. At runtime, an arbitrary value
        is allowed as type argument to Literal[...], but type checkers may
        impose restrictions.
        """
        # There is no '_type_check' call because arguments to Literal[...] are
        # values, not types.
        parameters = _flatten_literal_params(parameters)

        try:
            parameters = tuple(p for p, _ in _deduplicate(list(_value_and_type_iter(parameters))))
        except TypeError:  # unhashable parameters
            pass

        return _LiteralGenericAlias(self, parameters)

    @_SpecialForm
    def TypeAlias(self, parameters):
        """Special marker indicating that an assignment should
        be recognized as a proper type alias definition by type
        checkers.

        For example::

            Predicate: TypeAlias = Callable[..., bool]

        It's invalid when used anywhere except as in the example above.
        """
        raise TypeError(f"{self} is not subscriptable")

    @_SpecialForm
    def Concatenate(self, parameters):
        """Used in conjunction with ``ParamSpec`` and ``Callable`` to represent a
        higher order function which adds, removes or transforms parameters of a
        callable.

        For example::

           Callable[Concatenate[int, P], int]

        See PEP 612 for detailed information.
        """
        if parameters == ():
            raise TypeError("Cannot take a Concatenate of no types.")
        if not isinstance(parameters, tuple):
            parameters = (parameters,)
        if not isinstance(parameters[-1], ParamSpec):
            raise TypeError("The last parameter to Concatenate should be a "
                            "ParamSpec variable.")
        msg = "Concatenate[arg, ...]: each arg must be a type."
        parameters = (*(_type_check(p, msg) for p in parameters[:-1]), parameters[-1])
        return _ConcatenateGenericAlias(self, parameters,
                                        _typevar_types=(TypeVar, ParamSpec),
                                        _paramspec_tvars=True)

    @_SpecialForm
    def TypeGuard(self, parameters):
        """Special typing form used to annotate the return type of a user-defined
        type guard function.  ``TypeGuard`` only accepts a single type argument.
        At runtime, functions marked this way should return a boolean.

        ``TypeGuard`` aims to benefit *type narrowing* -- a technique used by static
        type checkers to determine a more precise type of an expression within a
        program's code flow.  Usually type narrowing is done by analyzing
        conditional code flow and applying the narrowing to a block of code.  The
        conditional expression here is sometimes referred to as a "type guard".

        Sometimes it would be convenient to use a user-defined boolean function
        as a type guard.  Such a function should use ``TypeGuard[...]`` as its
        return type to alert static type checkers to this intention.

        Using  ``-> TypeGuard`` tells the static type checker that for a given
        function:

        1. The return value is a boolean.
        2. If the return value is ``True``, the type of its argument
           is the type inside ``TypeGuard``.

           For example::

              def is_str(val: Union[str, float]):
                  # "isinstance" type guard
                  if isinstance(val, str):
                      # Type of ``val`` is narrowed to ``str``
                      ...
                  else:
                      # Else, type of ``val`` is narrowed to ``float``.
                      ...

        Strict type narrowing is not enforced -- ``TypeB`` need not be a narrower
        form of ``TypeA`` (it can even be a wider form) and this may lead to
        type-unsafe results.  The main reason is to allow for things like
        narrowing ``List[object]`` to ``List[str]`` even though the latter is not
        a subtype of the former, since ``List`` is invariant.  The responsibility of
        writing type-safe type guards is left to the user.

        ``TypeGuard`` also works with type variables.  For more information, see
        PEP 647 (User-Defined Type Guards).
        """
        item = _type_check(parameters, f'{self} accepts only single type.')
        return _GenericAlias(self, (item,))

    class ForwardRef(_Final, _root=True):
        """Internal wrapper to hold a forward reference."""

        __slots__ = ('__forward_arg__', '__forward_code__',
                     '__forward_evaluated__', '__forward_value__',
                     '__forward_is_argument__', '__forward_is_class__',
                     '__forward_module__')

        def __init__(self, arg, is_argument=True, module=None, *, is_class=False):
            if not isinstance(arg, str):
                raise TypeError(f"Forward reference must be a string -- got {arg!r}")
            try:
                code = compile(arg, '<string>', 'eval')
            except SyntaxError:
                raise SyntaxError(f"Forward reference must be an expression -- got {arg!r}")
            self.__forward_arg__ = arg
            self.__forward_code__ = code
            self.__forward_evaluated__ = False
            self.__forward_value__ = None
            self.__forward_is_argument__ = is_argument
            self.__forward_is_class__ = is_class
            self.__forward_module__ = module

        def _evaluate(self, globalns, localns, recursive_guard):
            if self.__forward_arg__ in recursive_guard:
                return self
            if not self.__forward_evaluated__ or localns is not globalns:
                if globalns is None and localns is None:
                    globalns = localns = {}
                elif globalns is None:
                    globalns = localns
                elif localns is None:
                    localns = globalns
                if self.__forward_module__ is not None:
                    globalns = getattr(
                        sys.modules.get(self.__forward_module__, None), '__dict__', globalns
                    )
                type_ = _type_check(
                    eval(self.__forward_code__, globalns, localns),
                    "Forward references must evaluate to types.",
                    is_argument=self.__forward_is_argument__,
                    allow_special_forms=self.__forward_is_class__,
                )
                self.__forward_value__ = _eval_type(
                    type_, globalns, localns, recursive_guard | {self.__forward_arg__}
                )
                self.__forward_evaluated__ = True
            return self.__forward_value__

        def __eq__(self, other):
            if not isinstance(other, ForwardRef):
                return NotImplemented
            if self.__forward_evaluated__ and other.__forward_evaluated__:
                return (self.__forward_arg__ == other.__forward_arg__ and
                        self.__forward_value__ == other.__forward_value__)
            return (self.__forward_arg__ == other.__forward_arg__ and
                    self.__forward_module__ == other.__forward_module__)

        def __hash__(self):
            return hash((self.__forward_arg__, self.__forward_module__))

        def __repr__(self):
            return f'ForwardRef({self.__forward_arg__!r})'

    class _TypeVarLike:
        """Mixin for TypeVar-like types (TypeVar and ParamSpec)."""
        def __init__(self, bound, covariant, contravariant):
            """Used to setup TypeVars and ParamSpec's bound, covariant and
            contravariant attributes.
            """
            if covariant and contravariant:
                raise ValueError("Bivariant types are not supported.")
            self.__covariant__ = bool(covariant)
            self.__contravariant__ = bool(contravariant)
            if bound:
                self.__bound__ = _type_check(bound, "Bound must be a type.")
            else:
                self.__bound__ = None

        def __or__(self, right):
            return Union[self, right]

        def __ror__(self, left):
            return Union[left, self]

        def __repr__(self):
            if self.__covariant__:
                prefix = '+'
            elif self.__contravariant__:
                prefix = '-'
            else:
                prefix = '~'
            return prefix + self.__name__

        def __reduce__(self):
            return self.__name__

    class TypeVar( _Final, _Immutable, _TypeVarLike, _root=True):
        """Type variable.

        Usage::

          T = TypeVar('T')  # Can be anything
          A = TypeVar('A', str, bytes)  # Must be str or bytes

        Type variables exist primarily for the benefit of static type
        checkers.  They serve as the parameters for generic types as well
        as for generic function definitions.  See class Generic for more
        information on generic types.  Generic functions work as follows:

          def repeat(x: T, n: int) -> List[T]:
              '''Return a list containing n references to x.'''
              return [x]*n

          def longest(x: A, y: A) -> A:
              '''Return the longest of two strings.'''
              return x if len(x) >= len(y) else y

        The latter example's signature is essentially the overloading
        of (str, str) -> str and (bytes, bytes) -> bytes.  Also note
        that if the arguments are instances of some subclass of str,
        the return type is still plain str.

        At runtime, isinstance(x, T) and issubclass(C, T) will raise TypeError.

        Type variables defined with covariant=True or contravariant=True
        can be used to declare covariant or contravariant generic types.
        See PEP 484 for more details. By default generic types are invariant
        in all type variables.

        Type variables can be introspected. e.g.:

          T.__name__ == 'T'
          T.__constraints__ == ()
          T.__covariant__ == False
          T.__contravariant__ = False
          A.__constraints__ == (str, bytes)

        Note that only type variables defined in global scope can be pickled.
        """

        __slots__ = ('__name__', '__bound__', '__constraints__',
                     '__covariant__', '__contravariant__', '__dict__')

        def __init__(self, name, *constraints, bound=None,
                     covariant=False, contravariant=False):
            self.__name__ = name
            super().__init__(bound, covariant, contravariant)
            if constraints and bound is not None:
                raise TypeError("Constraints cannot be combined with bound=...")
            if constraints and len(constraints) == 1:
                raise TypeError("A single constraint is not allowed")
            msg = "TypeVar(name, constraint, ...): constraints must be types."
            self.__constraints__ = tuple(_type_check(t, msg) for t in constraints)
            try:
                def_mod = sys._getframe(1).f_globals.get('__name__', '__main__')  # for pickling
            except (AttributeError, ValueError):
                def_mod = None
            if def_mod != 'typing':
                self.__module__ = def_mod

    class ParamSpecArgs(_Final, _Immutable, _root=True):
        """The args for a ParamSpec object.

        Given a ParamSpec object P, P.args is an instance of ParamSpecArgs.

        ParamSpecArgs objects have a reference back to their ParamSpec:

           P.args.__origin__ is P

        This type is meant for runtime introspection and has no special meaning to
        static type checkers.
        """
        def __init__(self, origin):
            self.__origin__ = origin

        def __repr__(self):
            return f"{self.__origin__.__name__}.args"

        def __eq__(self, other):
            if not isinstance(other, ParamSpecArgs):
                return NotImplemented
            return self.__origin__ == other.__origin__

    class ParamSpecKwargs(_Final, _Immutable, _root=True):
        """The kwargs for a ParamSpec object.

        Given a ParamSpec object P, P.kwargs is an instance of ParamSpecKwargs.

        ParamSpecKwargs objects have a reference back to their ParamSpec:

           P.kwargs.__origin__ is P

        This type is meant for runtime introspection and has no special meaning to
        static type checkers.
        """
        def __init__(self, origin):
            self.__origin__ = origin

        def __repr__(self):
            return f"{self.__origin__.__name__}.kwargs"

        def __eq__(self, other):
            if not isinstance(other, ParamSpecKwargs):
                return NotImplemented
            return self.__origin__ == other.__origin__

    class ParamSpec(_Final, _Immutable, _TypeVarLike, _root=True):
        """Parameter specification variable.

        Usage::

           P = ParamSpec('P')

        Parameter specification variables exist primarily for the benefit of static
        type checkers.  They are used to forward the parameter types of one
        callable to another callable, a pattern commonly found in higher order
        functions and decorators.  They are only valid when used in ``Concatenate``,
        or as the first argument to ``Callable``, or as parameters for user-defined
        Generics.  See class Generic for more information on generic types.  An
        example for annotating a decorator::

           T = TypeVar('T')
           P = ParamSpec('P')

           def add_logging(f: Callable[P, T]) -> Callable[P, T]:
               '''A type-safe decorator to add logging to a function.'''
               def inner(*args: P.args, **kwargs: P.kwargs) -> T:
                   logging.info(f'{f.__name__} was called')
                   return f(*args, **kwargs)
               return inner

           @add_logging
           def add_two(x: float, y: float) -> float:
               '''Add two numbers together.'''
               return x + y

        Parameter specification variables defined with covariant=True or
        contravariant=True can be used to declare covariant or contravariant
        generic types.  These keyword arguments are valid, but their actual semantics
        are yet to be decided.  See PEP 612 for details.

        Parameter specification variables can be introspected. e.g.:

           P.__name__ == 'P'
           P.__bound__ == None
           P.__covariant__ == False
           P.__contravariant__ == False

        Note that only parameter specification variables defined in global scope can
        be pickled.
        """

        __slots__ = ('__name__', '__bound__', '__covariant__', '__contravariant__',
                     '__dict__')

        @property
        def args(self):
            return ParamSpecArgs(self)

        @property
        def kwargs(self):
            return ParamSpecKwargs(self)

        def __init__(self, name, *, bound=None, covariant=False, contravariant=False):
            self.__name__ = name
            super().__init__(bound, covariant, contravariant)
            try:
                def_mod = sys._getframe(1).f_globals.get('__name__', '__main__')
            except (AttributeError, ValueError):
                def_mod = None
            if def_mod != 'typing':
                self.__module__ = def_mod

    def _is_dunder(attr):
        return attr.startswith('__') and attr.endswith('__')

    class _BaseGenericAlias(_Final, _root=True):
        """The central part of internal API.

        This represents a generic version of type 'origin' with type arguments 'params'.
        There are two kind of these aliases: user defined and special. The special ones
        are wrappers around builtin collections and ABCs in collections.abc. These must
        have 'name' always set. If 'inst' is False, then the alias can't be instantiated,
        this is used by e.g. typing.List and typing.Dict.
        """
        def __init__(self, origin, *, inst=True, name=None):
            self._inst = inst
            self._name = name
            self.__origin__ = origin
            self.__slots__ = None  # This is not documented.

        def __call__(self, *args, **kwargs):
            if not self._inst:
                raise TypeError(f"Type {self._name} cannot be instantiated; "
                                f"use {self.__origin__.__name__}() instead")
            result = self.__origin__(*args, **kwargs)
            try:
                result.__orig_class__ = self
            except AttributeError:
                pass
            return result

        def __mro_entries__(self, bases):
            res = []
            if self.__origin__ not in bases:
                res.append(self.__origin__)
            i = bases.index(self)
            for b in bases[i+1:]:
                if isinstance(b, _BaseGenericAlias) or issubclass(b, Generic):
                    break
            else:
                res.append(Generic)
            return tuple(res)

        def __getattr__(self, attr):
            if attr in {'__name__', '__qualname__'}:
                return self._name or self.__origin__.__name__

            # We are careful for copy and pickle.
            # Also for simplicity we don't relay any dunder names
            if '__origin__' in self.__dict__ and not _is_dunder(attr):
                return getattr(self.__origin__, attr)
            raise AttributeError(attr)

        def __setattr__(self, attr, val):
            if _is_dunder(attr) or attr in {'_name', '_inst', '_nparams',
                                            '_typevar_types', '_paramspec_tvars'}:
                super().__setattr__(attr, val)
            else:
                setattr(self.__origin__, attr, val)

        def __instancecheck__(self, obj):
            return self.__subclasscheck__(type(obj))

        def __subclasscheck__(self, cls):
            raise TypeError("Subscripted generics cannot be used with"
                            " class and instance checks")

        def __dir__(self):
            return list(set(super().__dir__()
                    + [attr for attr in dir(self.__origin__) if not _is_dunder(attr)]))

    # Special typing constructs Union, Optional, Generic, Callable and Tuple
    # use three special attributes for internal bookkeeping of generic types:
    # * __parameters__ is a tuple of unique free type parameters of a generic
    #   type, for example, Dict[T, T].__parameters__ == (T,);
    # * __origin__ keeps a reference to a type that was subscripted,
    #   e.g., Union[T, int].__origin__ == Union, or the non-generic version of
    #   the type.
    # * __args__ is a tuple of all arguments used in subscripting,
    #   e.g., Dict[T, int].__args__ == (T, int).

    class _GenericAlias(_BaseGenericAlias, _root=True):
        def __init__(self, origin, params, *, inst=True, name=None,
                     _typevar_types=TypeVar,
                     _paramspec_tvars=False):
            super().__init__(origin, inst=inst, name=name)
            if not isinstance(params, tuple):
                params = (params,)
            self.__args__ = tuple(... if a is _TypingEllipsis else
                                  () if a is _TypingEmpty else
                                  a for a in params)
            self.__parameters__ = _collect_type_vars(params, typevar_types=_typevar_types)
            self._typevar_types = _typevar_types
            self._paramspec_tvars = _paramspec_tvars
            if not name:
                self.__module__ = origin.__module__

        def __eq__(self, other):
            if not isinstance(other, _GenericAlias):
                return NotImplemented
            return (self.__origin__ == other.__origin__
                    and self.__args__ == other.__args__)

        def __hash__(self):
            return hash((self.__origin__, self.__args__))

        def __or__(self, right):
            return Union[self, right]

        def __ror__(self, left):
            return Union[left, self]

        @_tp_cache
        def __getitem__(self, params):
            if self.__origin__ in (Generic, Protocol):
                # Can't subscript Generic[...] or Protocol[...].
                raise TypeError(f"Cannot subscript already-subscripted {self}")
            if not isinstance(params, tuple):
                params = (params,)
            params = tuple(_type_convert(p) for p in params)
            if (self._paramspec_tvars
                    and any(isinstance(t, ParamSpec) for t in self.__parameters__)):
                params = _prepare_paramspec_params(self, params)
            else:
                _check_generic(self, params, len(self.__parameters__))

            subst = dict(zip(self.__parameters__, params))
            new_args = []
            for arg in self.__args__:
                if isinstance(arg, self._typevar_types):
                    if isinstance(arg, ParamSpec):
                        arg = subst[arg]
                        if not _is_param_expr(arg):
                            raise TypeError(f"Expected a list of types, an ellipsis, "
                                            f"ParamSpec, or Concatenate. Got {arg}")
                    else:
                        arg = subst[arg]
                elif isinstance(arg, (_GenericAlias, GenericAlias, types.UnionType)):
                    subparams = arg.__parameters__
                    if subparams:
                        subargs = tuple(subst[x] for x in subparams)
                        arg = arg[subargs]
                # Required to flatten out the args for CallableGenericAlias
                if self.__origin__ == collections.abc.Callable and isinstance(arg, tuple):
                    new_args.extend(arg)
                else:
                    new_args.append(arg)
            return self.copy_with(tuple(new_args))

        def copy_with(self, params):
            return self.__class__(self.__origin__, params, name=self._name, inst=self._inst,
                                  _typevar_types=self._typevar_types,
                                  _paramspec_tvars=self._paramspec_tvars)

        def __repr__(self):
            if self._name:
                name = 'typing.' + self._name
            else:
                name = _type_repr(self.__origin__)
            args = ", ".join([_type_repr(a) for a in self.__args__])
            return f'{name}[{args}]'

        def __reduce__(self):
            if self._name:
                origin = globals()[self._name]
            else:
                origin = self.__origin__
            args = tuple(self.__args__)
            if len(args) == 1 and (not isinstance(args[0], tuple) or
                                   origin is Tuple and not args[0]):
                args, = args
            return operator.getitem, (origin, args)

        def __mro_entries__(self, bases):
            if isinstance(self.__origin__, _SpecialForm):
                raise TypeError(f"Cannot subclass {self!r}")

            if self._name:  # generic version of an ABC or built-in class
                return super().__mro_entries__(bases)
            if self.__origin__ is Generic:
                if Protocol in bases:
                    return ()
                i = bases.index(self)
                for b in bases[i+1:]:
                    if isinstance(b, _BaseGenericAlias) and b is not self:
                        return ()
            return (self.__origin__,)

    # _nparams is the number of accepted parameters, e.g. 0 for Hashable,
    # 1 for List and 2 for Dict.  It may be -1 if variable number of
    # parameters are accepted (needs custom __getitem__).

    class _SpecialGenericAlias(_BaseGenericAlias, _root=True):
        def __init__(self, origin, nparams, *, inst=True, name=None):
            if name is None:
                name = origin.__name__
            super().__init__(origin, inst=inst, name=name)
            self._nparams = nparams
            if origin.__module__ == 'builtins':
                self.__doc__ = f'A generic version of {origin.__qualname__}.'
            else:
                self.__doc__ = f'A generic version of {origin.__module__}.{origin.__qualname__}.'

        @_tp_cache
        def __getitem__(self, params):
            if not isinstance(params, tuple):
                params = (params,)
            msg = "Parameters to generic types must be types."
            params = tuple(_type_check(p, msg) for p in params)
            _check_generic(self, params, self._nparams)
            return self.copy_with(params)

        def copy_with(self, params):
            return _GenericAlias(self.__origin__, params,
                                 name=self._name, inst=self._inst)

        def __repr__(self):
            return 'typing.' + self._name

        def __subclasscheck__(self, cls):
            if isinstance(cls, _SpecialGenericAlias):
                return issubclass(cls.__origin__, self.__origin__)
            if not isinstance(cls, _GenericAlias):
                return issubclass(cls, self.__origin__)
            return super().__subclasscheck__(cls)

        def __reduce__(self):
            return self._name

        def __or__(self, right):
            return Union[self, right]

        def __ror__(self, left):
            return Union[left, self]

    class _CallableGenericAlias(_GenericAlias, _root=True):
        def __repr__(self):
            assert self._name == 'Callable'
            args = self.__args__
            if len(args) == 2 and _is_param_expr(args[0]):
                return super().__repr__()
            return (f'typing.Callable'
                    f'[[{", ".join([_type_repr(a) for a in args[:-1]])}], '
                    f'{_type_repr(args[-1])}]')

        def __reduce__(self):
            args = self.__args__
            if not (len(args) == 2 and _is_param_expr(args[0])):
                args = list(args[:-1]), args[-1]
            return operator.getitem, (Callable, args)

    class _CallableType(_SpecialGenericAlias, _root=True):
        def copy_with(self, params):
            return _CallableGenericAlias(self.__origin__, params,
                                         name=self._name, inst=self._inst,
                                         _typevar_types=(TypeVar, ParamSpec),
                                         _paramspec_tvars=True)

        def __getitem__(self, params):
            if not isinstance(params, tuple) or len(params) != 2:
                raise TypeError("Callable must be used as "
                                "Callable[[arg, ...], result].")
            args, result = params
            # This relaxes what args can be on purpose to allow things like
            # PEP 612 ParamSpec.  Responsibility for whether a user is using
            # Callable[...] properly is deferred to static type checkers.
            if isinstance(args, list):
                params = (tuple(args), result)
            else:
                params = (args, result)
            return self.__getitem_inner__(params)

        @_tp_cache
        def __getitem_inner__(self, params):
            args, result = params
            msg = "Callable[args, result]: result must be a type."
            result = _type_check(result, msg)
            if args is Ellipsis:
                return self.copy_with((_TypingEllipsis, result))
            if not isinstance(args, tuple):
                args = (args,)
            args = tuple(_type_convert(arg) for arg in args)
            params = args + (result,)
            return self.copy_with(params)

    class _TupleType(_SpecialGenericAlias, _root=True):
        @_tp_cache
        def __getitem__(self, params):
            if params == ():
                return self.copy_with((_TypingEmpty,))
            if not isinstance(params, tuple):
                params = (params,)
            if len(params) == 2 and params[1] is ...:
                msg = "Tuple[t, ...]: t must be a type."
                p = _type_check(params[0], msg)
                return self.copy_with((p, _TypingEllipsis))
            msg = "Tuple[t0, t1, ...]: each t must be a type."
            params = tuple(_type_check(p, msg) for p in params)
            return self.copy_with(params)

    class _UnionGenericAlias(_GenericAlias, _root=True):
        def copy_with(self, params):
            return Union[params]

        def __eq__(self, other):
            if not isinstance(other, (_UnionGenericAlias, types.UnionType)):
                return NotImplemented
            return set(self.__args__) == set(other.__args__)

        def __hash__(self):
            return hash(frozenset(self.__args__))

        def __repr__(self):
            args = self.__args__
            if len(args) == 2:
                if args[0] is type(None):
                    return f'typing.Optional[{_type_repr(args[1])}]'
                elif args[1] is type(None):
                    return f'typing.Optional[{_type_repr(args[0])}]'
            return super().__repr__()

        def __instancecheck__(self, obj):
            return self.__subclasscheck__(type(obj))

        def __subclasscheck__(self, cls):
            for arg in self.__args__:
                if issubclass(cls, arg):
                    return True

        def __reduce__(self):
            func, (origin, args) = super().__reduce__()
            return func, (Union, args)

    def _value_and_type_iter(parameters):
        return ((p, type(p)) for p in parameters)

    class _LiteralGenericAlias(_GenericAlias, _root=True):

        def __eq__(self, other):
            if not isinstance(other, _LiteralGenericAlias):
                return NotImplemented

            return set(_value_and_type_iter(self.__args__)) == set(_value_and_type_iter(other.__args__))

        def __hash__(self):
            return hash(frozenset(_value_and_type_iter(self.__args__)))

    class _ConcatenateGenericAlias(_GenericAlias, _root=True):
        def copy_with(self, params):
            if isinstance(params[-1], (list, tuple)):
                return (*params[:-1], *params[-1])
            if isinstance(params[-1], _ConcatenateGenericAlias):
                params = (*params[:-1], *params[-1].__args__)
            elif not isinstance(params[-1], ParamSpec):
                raise TypeError("The last parameter to Concatenate should be a "
                                "ParamSpec variable.")
            return super().copy_with(params)

    class Generic:
        """Abstract base class for generic types.

        A generic type is typically declared by inheriting from
        this class parameterized with one or more type variables.
        For example, a generic mapping type might be defined as::

          class Mapping(Generic[KT, VT]):
              def __getitem__(self, key: KT) -> VT:
                  ...
              # Etc.

        This class can then be used as follows::

          def lookup_name(mapping: Mapping[KT, VT], key: KT, default: VT) -> VT:
              try:
                  return mapping[key]
              except KeyError:
                  return default
        """
        __slots__ = ()
        _is_protocol = False

        @_tp_cache
        def __class_getitem__(cls, params):
            if not isinstance(params, tuple):
                params = (params,)
            if not params and cls is not Tuple:
                raise TypeError(
                    f"Parameter list to {cls.__qualname__}[...] cannot be empty")
            params = tuple(_type_convert(p) for p in params)
            if cls in (Generic, Protocol):
                # Generic and Protocol can only be subscripted with unique type variables.
                if not all(isinstance(p, (TypeVar, ParamSpec)) for p in params):
                    raise TypeError(
                        f"Parameters to {cls.__name__}[...] must all be type variables "
                        f"or parameter specification variables.")
                if len(set(params)) != len(params):
                    raise TypeError(
                        f"Parameters to {cls.__name__}[...] must all be unique")
            else:
                # Subscripting a regular Generic subclass.
                if any(isinstance(t, ParamSpec) for t in cls.__parameters__):
                    params = _prepare_paramspec_params(cls, params)
                else:
                    _check_generic(cls, params, len(cls.__parameters__))
            return _GenericAlias(cls, params,
                                 _typevar_types=(TypeVar, ParamSpec),
                                 _paramspec_tvars=True)

        def __init_subclass__(cls, *args, **kwargs):
            super().__init_subclass__(*args, **kwargs)
            tvars = []
            if '__orig_bases__' in cls.__dict__:
                error = Generic in cls.__orig_bases__
            else:
                error = Generic in cls.__bases__ and cls.__name__ != 'Protocol'
            if error:
                raise TypeError("Cannot inherit from plain Generic")
            if '__orig_bases__' in cls.__dict__:
                tvars = _collect_type_vars(cls.__orig_bases__, (TypeVar, ParamSpec))
                # Look for Generic[T1, ..., Tn].
                # If found, tvars must be a subset of it.
                # If not found, tvars is it.
                # Also check for and reject plain Generic,
                # and reject multiple Generic[...].
                gvars = None
                for base in cls.__orig_bases__:
                    if (isinstance(base, _GenericAlias) and
                            base.__origin__ is Generic):
                        if gvars is not None:
                            raise TypeError(
                                "Cannot inherit from Generic[...] multiple types.")
                        gvars = base.__parameters__
                if gvars is not None:
                    tvarset = set(tvars)
                    gvarset = set(gvars)
                    if not tvarset <= gvarset:
                        s_vars = ', '.join(str(t) for t in tvars if t not in gvarset)
                        s_args = ', '.join(str(g) for g in gvars)
                        raise TypeError(f"Some type variables ({s_vars}) are"
                                        f" not listed in Generic[{s_args}]")
                    tvars = gvars
            cls.__parameters__ = tuple(tvars)

    class _TypingEmpty:
        """Internal placeholder for () or []. Used by TupleMeta and CallableMeta
        to allow empty list/tuple in specific places, without allowing them
        to sneak in where prohibited.
        """

    class _TypingEllipsis:
        """Internal placeholder for ... (ellipsis)."""

    _TYPING_INTERNALS = ['__parameters__', '__orig_bases__',  '__orig_class__',
                         '_is_protocol', '_is_runtime_protocol']

    _SPECIAL_NAMES = ['__abstractmethods__', '__annotations__', '__dict__', '__doc__',
                      '__init__', '__module__', '__new__', '__slots__',
                      '__subclasshook__', '__weakref__', '__class_getitem__']

    # These special attributes will be not collected as protocol members.
    EXCLUDED_ATTRIBUTES = _TYPING_INTERNALS + _SPECIAL_NAMES + ['_MutableMapping__marker']

    def _get_protocol_attrs(cls):
        """Collect protocol members from a protocol class objects.

        This includes names actually defined in the class dictionary, as well
        as names that appear in annotations. Special names (above) are skipped.
        """
        attrs = set()
        for base in cls.__mro__[:-1]:  # without object
            if base.__name__ in ('Protocol', 'Generic'):
                continue
            annotations = getattr(base, '__annotations__', {})
            for attr in list(base.__dict__.keys()) + list(annotations.keys()):
                if not attr.startswith('_abc_') and attr not in EXCLUDED_ATTRIBUTES:
                    attrs.add(attr)
        return attrs

    def _is_callable_members_only(cls):
        # PEP 544 prohibits using issubclass() with protocols that have non-method members.
        return all(callable(getattr(cls, attr, None)) for attr in _get_protocol_attrs(cls))

    def _no_init_or_replace_init(self, *args, **kwargs):
        cls = type(self)

        if cls._is_protocol:
            raise TypeError('Protocols cannot be instantiated')

        # Already using a custom `__init__`. No need to calculate correct
        # `__init__` to call. This can lead to RecursionError. See bpo-45121.
        if cls.__init__ is not _no_init_or_replace_init:
            return

        # Initially, `__init__` of a protocol subclass is set to `_no_init_or_replace_init`.
        # The first instantiation of the subclass will call `_no_init_or_replace_init` which
        # searches for a proper new `__init__` in the MRO. The new `__init__`
        # replaces the subclass' old `__init__` (ie `_no_init_or_replace_init`). Subsequent
        # instantiation of the protocol subclass will thus use the new
        # `__init__` and no longer call `_no_init_or_replace_init`.
        for base in cls.__mro__:
            init = base.__dict__.get('__init__', _no_init_or_replace_init)
            if init is not _no_init_or_replace_init:
                cls.__init__ = init
                break
        else:
            # should not happen
            cls.__init__ = object.__init__

        cls.__init__(self, *args, **kwargs)

    def _caller(depth=1, default='__main__'):
        try:
            return sys._getframe(depth + 1).f_globals.get('__name__', default)
        except (AttributeError, ValueError):  # For platforms without _getframe()
            return None

    def _allow_reckless_class_checks(depth=3):
        """Allow instance and class checks for special stdlib modules.

        The abc and functools modules indiscriminately call isinstance() and
        issubclass() on the whole MRO of a user class, which may contain protocols.
        """
        try:
            return sys._getframe(depth).f_globals['__name__'] in ['abc', 'functools']
        except (AttributeError, ValueError):  # For platforms without _getframe().
            return True

    _PROTO_ALLOWLIST = {
        'collections.abc': [
            'Callable', 'Awaitable', 'Iterable', 'Iterator', 'AsyncIterable',
            'Hashable', 'Sized', 'Container', 'Collection', 'Reversible',
        ],
        'contextlib': ['AbstractContextManager', 'AbstractAsyncContextManager'],
    }

    class _ProtocolMeta(ABCMeta):
        # This metaclass is really unfortunate and exists only because of
        # the lack of __instancehook__.
        def __instancecheck__(cls, instance):
            # We need this method for situations where attributes are
            # assigned in __init__.
            if (
                getattr(cls, '_is_protocol', False) and
                not getattr(cls, '_is_runtime_protocol', False) and
                not _allow_reckless_class_checks(depth=2)
            ):
                raise TypeError("Instance and class checks can only be used with"
                                " @runtime_checkable protocols")

            if ((not getattr(cls, '_is_protocol', False) or
                    _is_callable_members_only(cls)) and
                    issubclass(instance.__class__, cls)):
                return True
            if cls._is_protocol:
                if all(hasattr(instance, attr) and
                        # All *methods* can be blocked by setting them to None.
                        (not callable(getattr(cls, attr, None)) or
                         getattr(instance, attr) is not None)
                        for attr in _get_protocol_attrs(cls)):
                    return True
            return super().__instancecheck__(instance)

    class Protocol(Generic, metaclass=_ProtocolMeta):
        """Base class for protocol classes.

        Protocol classes are defined as::

            class Proto(Protocol):
                def meth(self) -> int:
                    ...

        Such classes are primarily used with static type checkers that recognize
        structural subtyping (static duck-typing), for example::

            class C:
                def meth(self) -> int:
                    return 0

            def func(x: Proto) -> int:
                return x.meth()

            func(C())  # Passes static type check

        See PEP 544 for details. Protocol classes decorated with
        @typing.runtime_checkable act as simple-minded runtime protocols that check
        only the presence of given attributes, ignoring their type signatures.
        Protocol classes can be generic, they are defined as::

            class GenProto(Protocol[T]):
                def meth(self) -> T:
                    ...
        """
        __slots__ = ()
        _is_protocol = True
        _is_runtime_protocol = False

        def __init_subclass__(cls, *args, **kwargs):
            super().__init_subclass__(*args, **kwargs)

            # Determine if this is a protocol or a concrete subclass.
            if not cls.__dict__.get('_is_protocol', False):
                cls._is_protocol = any(b is Protocol for b in cls.__bases__)

            # Set (or override) the protocol subclass hook.
            def _proto_hook(other):
                if not cls.__dict__.get('_is_protocol', False):
                    return NotImplemented

                # First, perform various sanity checks.
                if not getattr(cls, '_is_runtime_protocol', False):
                    if _allow_reckless_class_checks():
                        return NotImplemented
                    raise TypeError("Instance and class checks can only be used with"
                                    " @runtime_checkable protocols")
                if not _is_callable_members_only(cls):
                    if _allow_reckless_class_checks():
                        return NotImplemented
                    raise TypeError("Protocols with non-method members"
                                    " don't support issubclass()")
                if not isinstance(other, type):
                    # Same error message as for issubclass(1, int).
                    raise TypeError('issubclass() arg 1 must be a class')

                # Second, perform the actual structural compatibility check.
                for attr in _get_protocol_attrs(cls):
                    for base in other.__mro__:
                        # Check if the members appears in the class dictionary...
                        if attr in base.__dict__:
                            if base.__dict__[attr] is None:
                                return NotImplemented
                            break

                        # ...or in annotations, if it is a sub-protocol.
                        annotations = getattr(base, '__annotations__', {})
                        if (isinstance(annotations, collections.abc.Mapping) and
                                attr in annotations and
                                issubclass(other, Generic) and other._is_protocol):
                            break
                    else:
                        return NotImplemented
                return True

            if '__subclasshook__' not in cls.__dict__:
                cls.__subclasshook__ = _proto_hook

            # We have nothing more to do for non-protocols...
            if not cls._is_protocol:
                return

            # ... otherwise check consistency of bases, and prohibit instantiation.
            for base in cls.__bases__:
                if not (base in (object, Generic) or
                        base.__module__ in _PROTO_ALLOWLIST and
                        base.__name__ in _PROTO_ALLOWLIST[base.__module__] or
                        issubclass(base, Generic) and base._is_protocol):
                    raise TypeError('Protocols can only inherit from other'
                                    ' protocols, got %r' % base)
            cls.__init__ = _no_init_or_replace_init

    class _AnnotatedAlias(_GenericAlias, _root=True):
        """Runtime representation of an annotated type.

        At its core 'Annotated[t, dec1, dec2, ...]' is an alias for the type 't'
        with extra annotations. The alias behaves like a normal typing alias,
        instantiating is the same as instantiating the underlying type, binding
        it to types is also the same.
        """
        def __init__(self, origin, metadata):
            if isinstance(origin, _AnnotatedAlias):
                metadata = origin.__metadata__ + metadata
                origin = origin.__origin__
            super().__init__(origin, origin)
            self.__metadata__ = metadata

        def copy_with(self, params):
            assert len(params) == 1
            new_type = params[0]
            return _AnnotatedAlias(new_type, self.__metadata__)

        def __repr__(self):
            return "typing.Annotated[{}, {}]".format(
                _type_repr(self.__origin__),
                ", ".join(repr(a) for a in self.__metadata__)
            )

        def __reduce__(self):
            return operator.getitem, (
                Annotated, (self.__origin__,) + self.__metadata__
            )

        def __eq__(self, other):
            if not isinstance(other, _AnnotatedAlias):
                return NotImplemented
            return (self.__origin__ == other.__origin__
                    and self.__metadata__ == other.__metadata__)

        def __hash__(self):
            return hash((self.__origin__, self.__metadata__))

        def __getattr__(self, attr):
            if attr in {'__name__', '__qualname__'}:
                return 'Annotated'
            return super().__getattr__(attr)

    class Annotated:
        """Add context specific metadata to a type.

        Example: Annotated[int, runtime_check.Unsigned] indicates to the
        hypothetical runtime_check module that this type is an unsigned int.
        Every other consumer of this type can ignore this metadata and treat
        this type as int.

        The first argument to Annotated must be a valid type.

        Details:

        - It's an error to call `Annotated` with less than two arguments.
        - Nested Annotated are flattened::

            Annotated[Annotated[T, Ann1, Ann2], Ann3] == Annotated[T, Ann1, Ann2, Ann3]

        - Instantiating an annotated type is equivalent to instantiating the
        underlying type::

            Annotated[C, Ann1](5) == C(5)

        - Annotated can be used as a generic type alias::

            Optimized = Annotated[T, runtime.Optimize()]
            Optimized[int] == Annotated[int, runtime.Optimize()]

            OptimizedList = Annotated[List[T], runtime.Optimize()]
            OptimizedList[int] == Annotated[List[int], runtime.Optimize()]
        """

        __slots__ = ()

        def __new__(cls, *args, **kwargs):
            raise TypeError("Type Annotated cannot be instantiated.")

        @_tp_cache
        def __class_getitem__(cls, params):
            if not isinstance(params, tuple) or len(params) < 2:
                raise TypeError("Annotated[...] should be used "
                                "with at least two arguments (a type and an "
                                "annotation).")
            msg = "Annotated[t, ...]: t must be a type."
            origin = _type_check(params[0], msg, allow_special_forms=True)
            metadata = tuple(params[1:])
            return _AnnotatedAlias(origin, metadata)

        def __init_subclass__(cls, *args, **kwargs):
            raise TypeError(
                "Cannot subclass {}.Annotated".format(cls.__module__)
            )

    def runtime_checkable(cls):
        """Mark a protocol class as a runtime protocol.

        Such protocol can be used with isinstance() and issubclass().
        Raise TypeError if applied to a non-protocol class.
        This allows a simple-minded structural check very similar to
        one trick ponies in collections.abc such as Iterable.
        For example::

            @runtime_checkable
            class Closable(Protocol):
                def close(self): ...

            assert isinstance(open('/some/file'), Closable)

        Warning: this will check only the presence of the required methods,
        not their type signatures!
        """
        if not issubclass(cls, Generic) or not cls._is_protocol:
            raise TypeError('@runtime_checkable can be only applied to protocol classes,'
                            ' got %r' % cls)
        cls._is_runtime_protocol = True
        return cls

    def cast(typ, val):
        """Cast a value to a type.

        This returns the value unchanged.  To the type checker this
        signals that the return value has the designated type, but at
        runtime we intentionally don't check anything (we want this
        to be as fast as possible).
        """
        return val

    def _get_defaults(func):
        """Internal helper to extract the default arguments, by name."""
        try:
            code = func.__code__
        except AttributeError:
            # Some built-in functions don't have __code__, __defaults__, etc.
            return {}
        pos_count = code.co_argcount
        arg_names = code.co_varnames
        arg_names = arg_names[:pos_count]
        defaults = func.__defaults__ or ()
        kwdefaults = func.__kwdefaults__
        res = dict(kwdefaults) if kwdefaults else {}
        pos_offset = pos_count - len(defaults)
        for name, value in zip(arg_names[pos_offset:], defaults):
            assert name not in res
            res[name] = value
        return res

    _allowed_types = (types.FunctionType, types.BuiltinFunctionType,
                      types.MethodType, types.ModuleType,
                      WrapperDescriptorType, MethodWrapperType, MethodDescriptorType)

    def get_type_hints(obj, globalns=None, localns=None, include_extras=False):
        """Return type hints for an object.

        This is often the same as obj.__annotations__, but it handles
        forward references encoded as string literals, adds Optional[t] if a
        default value equal to None is set and recursively replaces all
        'Annotated[T, ...]' with 'T' (unless 'include_extras=True').

        The argument may be a module, class, method, or function. The annotations
        are returned as a dictionary. For classes, annotations include also
        inherited members.

        TypeError is raised if the argument is not of a type that can contain
        annotations, and an empty dictionary is returned if no annotations are
        present.

        BEWARE -- the behavior of globalns and localns is counterintuitive
        (unless you are familiar with how eval() and exec() work).  The
        search order is locals first, then globals.

        - If no dict arguments are passed, an attempt is made to use the
          globals from obj (or the respective module's globals for classes),
          and these are also used as the locals.  If the object does not appear
          to have globals, an empty dictionary is used.  For classes, the search
          order is globals first then locals.

        - If one dict argument is passed, it is used for both globals and
          locals.

        - If two dict arguments are passed, they specify globals and
          locals, respectively.
        """

        if getattr(obj, '__no_type_check__', None):
            return {}
        # Classes require a special treatment.
        if isinstance(obj, type):
            hints = {}
            for base in reversed(obj.__mro__):
                if globalns is None:
                    base_globals = getattr(sys.modules.get(base.__module__, None), '__dict__', {})
                else:
                    base_globals = globalns
                ann = base.__dict__.get('__annotations__', {})
                if isinstance(ann, types.GetSetDescriptorType):
                    ann = {}
                base_locals = dict(vars(base)) if localns is None else localns
                if localns is None and globalns is None:
                    # This is surprising, but required.  Before Python 3.10,
                    # get_type_hints only evaluated the globalns of
                    # a class.  To maintain backwards compatibility, we reverse
                    # the globalns and localns order so that eval() looks into
                    # *base_globals* first rather than *base_locals*.
                    # This only affects ForwardRefs.
                    base_globals, base_locals = base_locals, base_globals
                for name, value in ann.items():
                    if value is None:
                        value = type(None)
                    if isinstance(value, str):
                        value = ForwardRef(value, is_argument=False, is_class=True)
                    value = _eval_type(value, base_globals, base_locals)
                    hints[name] = value
            return hints if include_extras else {k: _strip_annotations(t) for k, t in hints.items()}

        if globalns is None:
            if isinstance(obj, types.ModuleType):
                globalns = obj.__dict__
            else:
                nsobj = obj
                # Find globalns for the unwrapped object.
                while hasattr(nsobj, '__wrapped__'):
                    nsobj = nsobj.__wrapped__
                globalns = getattr(nsobj, '__globals__', {})
            if localns is None:
                localns = globalns
        elif localns is None:
            localns = globalns
        hints = getattr(obj, '__annotations__', None)
        if hints is None:
            # Return empty annotations for something that _could_ have them.
            if isinstance(obj, _allowed_types):
                return {}
            else:
                raise TypeError('{!r} is not a module, class, method, '
                                'or function.'.format(obj))
        defaults = _get_defaults(obj)
        hints = dict(hints)
        for name, value in hints.items():
            if value is None:
                value = type(None)
            if isinstance(value, str):
                # class-level forward refs were handled above, this must be either
                # a module-level annotation or a function argument annotation
                value = ForwardRef(
                    value,
                    is_argument=not isinstance(obj, types.ModuleType),
                    is_class=False,
                )
            value = _eval_type(value, globalns, localns)
            if name in defaults and defaults[name] is None:
                value = Optional[value]
            hints[name] = value
        return hints if include_extras else {k: _strip_annotations(t) for k, t in hints.items()}

    def _strip_annotations(t):
        """Strips the annotations from a given type.
        """
        if isinstance(t, _AnnotatedAlias):
            return _strip_annotations(t.__origin__)
        if isinstance(t, _GenericAlias):
            stripped_args = tuple(_strip_annotations(a) for a in t.__args__)
            if stripped_args == t.__args__:
                return t
            return t.copy_with(stripped_args)
        if isinstance(t, GenericAlias):
            stripped_args = tuple(_strip_annotations(a) for a in t.__args__)
            if stripped_args == t.__args__:
                return t
            return GenericAlias(t.__origin__, stripped_args)
        if isinstance(t, types.UnionType):
            stripped_args = tuple(_strip_annotations(a) for a in t.__args__)
            if stripped_args == t.__args__:
                return t
            return functools.reduce(operator.or_, stripped_args)

        return t

    def get_origin(tp):
        """Get the unsubscripted version of a type.

        This supports generic types, Callable, Tuple, Union, Literal, Final, ClassVar
        and Annotated. Return None for unsupported types. Examples::

            get_origin(Literal[42]) is Literal
            get_origin(int) is None
            get_origin(ClassVar[int]) is ClassVar
            get_origin(Generic) is Generic
            get_origin(Generic[T]) is Generic
            get_origin(Union[T, int]) is Union
            get_origin(List[Tuple[T, T]][int]) == list
            get_origin(P.args) is P
        """
        if isinstance(tp, _AnnotatedAlias):
            return Annotated
        if isinstance(tp, (_BaseGenericAlias, GenericAlias,
                           ParamSpecArgs, ParamSpecKwargs)):
            return tp.__origin__
        if tp is Generic:
            return Generic
        if isinstance(tp, types.UnionType):
            return types.UnionType
        return None

    def get_args(tp):
        """Get type arguments with all substitutions performed.

        For unions, basic simplifications used by Union constructor are performed.
        Examples::
            get_args(Dict[str, int]) == (str, int)
            get_args(int) == ()
            get_args(Union[int, Union[T, int], str][int]) == (int, str)
            get_args(Union[int, Tuple[T, int]][str]) == (int, Tuple[str, int])
            get_args(Callable[[], T][int]) == ([], int)
        """
        if isinstance(tp, _AnnotatedAlias):
            return (tp.__origin__,) + tp.__metadata__
        if isinstance(tp, (_GenericAlias, GenericAlias)):
            res = tp.__args__
            if (tp.__origin__ is collections.abc.Callable
                    and not (len(res) == 2 and _is_param_expr(res[0]))):
                res = (list(res[:-1]), res[-1])
            return res
        if isinstance(tp, types.UnionType):
            return tp.__args__
        return ()

    def is_typeddict(tp):
        """Check if an annotation is a TypedDict class

        For example::
            class Film(TypedDict):
                title: str
                year: int

            is_typeddict(Film)  # => True
            is_typeddict(Union[list, str])  # => False
        """
        return isinstance(tp, _TypedDictMeta)

    def no_type_check(arg):
        """Decorator to indicate that annotations are not type hints.

        The argument must be a class or function; if it is a class, it
        applies recursively to all methods and classes defined in that class
        (but not to methods defined in its superclasses or subclasses).

        This mutates the function(s) or class(es) in place.
        """
        if isinstance(arg, type):
            arg_attrs = arg.__dict__.copy()
            for attr, val in arg.__dict__.items():
                if val in arg.__bases__ + (arg,):
                    arg_attrs.pop(attr)
            for obj in arg_attrs.values():
                if isinstance(obj, types.FunctionType):
                    obj.__no_type_check__ = True
                if isinstance(obj, type):
                    no_type_check(obj)
        try:
            arg.__no_type_check__ = True
        except TypeError:  # built-in classes
            pass
        return arg

    def no_type_check_decorator(decorator):
        """Decorator to give another decorator the @no_type_check effect.

        This wraps the decorator with something that wraps the decorated
        function in @no_type_check.
        """

        @functools.wraps(decorator)
        def wrapped_decorator(*args, **kwds):
            func = decorator(*args, **kwds)
            func = no_type_check(func)
            return func

        return wrapped_decorator

    def _overload_dummy(*args, **kwds):
        """Helper for @overload to raise when called."""
        raise NotImplementedError(
            "You should not call an overloaded function. "
            "A series of @overload-decorated functions "
            "outside a stub module should always be followed "
            "by an implementation that is not @overload-ed.")

    def overload(func):
        """Decorator for overloaded functions/methods.

        In a stub file, place two or more stub definitions for the same
        function in a row, each decorated with @overload.  For example:

          @overload
          def utf8(value: None) -> None: ...
          @overload
          def utf8(value: bytes) -> bytes: ...
          @overload
          def utf8(value: str) -> bytes: ...

        In a non-stub file (i.e. a regular .py file), do the same but
        follow it with an implementation.  The implementation should *not*
        be decorated with @overload.  For example:

          @overload
          def utf8(value: None) -> None: ...
          @overload
          def utf8(value: bytes) -> bytes: ...
          @overload
          def utf8(value: str) -> bytes: ...
          def utf8(value):
              # implementation goes here
        """
        return _overload_dummy

    def final(f):
        """A decorator to indicate final methods and final classes.

        Use this decorator to indicate to type checkers that the decorated
        method cannot be overridden, and decorated class cannot be subclassed.
        For example:

          class Base:
              @final
              def done(self) -> None:
                  ...
          class Sub(Base):
              def done(self) -> None:  # Error reported by type checker
                    ...

          @final
          class Leaf:
              ...
          class Other(Leaf):  # Error reported by type checker
              ...

        There is no runtime checking of these properties.
        """
        return f

    # Some unconstrained type variables.  These are used by the container types.
    # (These are not for export.)
    T = TypeVar('T')  # Any type.
    KT = TypeVar('KT')  # Key type.
    VT = TypeVar('VT')  # Value type.
    T_co = TypeVar('T_co', covariant=True)  # Any type covariant containers.
    V_co = TypeVar('V_co', covariant=True)  # Any type covariant containers.
    VT_co = TypeVar('VT_co', covariant=True)  # Value type covariant containers.
    T_contra = TypeVar('T_contra', contravariant=True)  # Ditto contravariant.
    # Internal type variable used for Type[].
    CT_co = TypeVar('CT_co', covariant=True, bound=type)

    # A useful type variable with constraints.  This represents string types.
    # (This one *is* for export!)
    AnyStr = TypeVar('AnyStr', bytes, str)

    # Various ABCs mimicking those in collections.abc.
    _alias = _SpecialGenericAlias

    Hashable = _alias(collections.abc.Hashable, 0)  # Not generic.
    Awaitable = _alias(collections.abc.Awaitable, 1)
    Coroutine = _alias(collections.abc.Coroutine, 3)
    AsyncIterable = _alias(collections.abc.AsyncIterable, 1)
    AsyncIterator = _alias(collections.abc.AsyncIterator, 1)
    Iterable = _alias(collections.abc.Iterable, 1)
    Iterator = _alias(collections.abc.Iterator, 1)
    Reversible = _alias(collections.abc.Reversible, 1)
    Sized = _alias(collections.abc.Sized, 0)  # Not generic.
    Container = _alias(collections.abc.Container, 1)
    Collection = _alias(collections.abc.Collection, 1)
    Callable = _CallableType(collections.abc.Callable, 2)
    Callable.__doc__ = \
        """Callable type; Callable[[int], str] is a function of (int) -> str.

        The subscription syntax must always be used with exactly two
        values: the argument list and the return type.  The argument list
        must be a list of types or ellipsis; the return type must be a single type.

        There is no syntax to indicate optional or keyword arguments,
        such function types are rarely used as callback types.
        """
    AbstractSet = _alias(collections.abc.Set, 1, name='AbstractSet')
    MutableSet = _alias(collections.abc.MutableSet, 1)
    # NOTE: Mapping is only covariant in the value type.
    Mapping = _alias(collections.abc.Mapping, 2)
    MutableMapping = _alias(collections.abc.MutableMapping, 2)
    Sequence = _alias(collections.abc.Sequence, 1)
    MutableSequence = _alias(collections.abc.MutableSequence, 1)
    ByteString = _alias(collections.abc.ByteString, 0)  # Not generic
    # Tuple accepts variable number of parameters.
    Tuple = _TupleType(tuple, -1, inst=False, name='Tuple')
    Tuple.__doc__ = \
        """Tuple type; Tuple[X, Y] is the cross-product type of X and Y.

        Example: Tuple[T1, T2] is a tuple of two elements corresponding
        to type variables T1 and T2.  Tuple[int, float, str] is a tuple
        of an int, a float and a string.

        To specify a variable-length tuple of homogeneous type, use Tuple[T, ...].
        """
    List = _alias(list, 1, inst=False, name='List')
    Deque = _alias(collections.deque, 1, name='Deque')
    Set = _alias(set, 1, inst=False, name='Set')
    FrozenSet = _alias(frozenset, 1, inst=False, name='FrozenSet')
    MappingView = _alias(collections.abc.MappingView, 1)
    KeysView = _alias(collections.abc.KeysView, 1)
    ItemsView = _alias(collections.abc.ItemsView, 2)
    ValuesView = _alias(collections.abc.ValuesView, 1)
    ContextManager = _alias(contextlib.AbstractContextManager, 1, name='ContextManager')
    AsyncContextManager = _alias(contextlib.AbstractAsyncContextManager, 1, name='AsyncContextManager')
    Dict = _alias(dict, 2, inst=False, name='Dict')
    DefaultDict = _alias(collections.defaultdict, 2, name='DefaultDict')
    OrderedDict = _alias(collections.OrderedDict, 2)
    Counter = _alias(collections.Counter, 1)
    ChainMap = _alias(collections.ChainMap, 2)
    Generator = _alias(collections.abc.Generator, 3)
    AsyncGenerator = _alias(collections.abc.AsyncGenerator, 2)
    Type = _alias(type, 1, inst=False, name='Type')
    Type.__doc__ = \
        """A special construct usable to annotate class objects.

        For example, suppose we have the following classes::

          class User: ...  # Abstract base for User classes
          class BasicUser(User): ...
          class ProUser(User): ...
          class TeamUser(User): ...

        And a function that takes a class argument that's a subclass of
        User and returns an instance of the corresponding class::

          U = TypeVar('U', bound=User)
          def new_user(user_class: Type[U]) -> U:
              user = user_class()
              # (Here we could write the user object to a database)
              return user

          joe = new_user(BasicUser)

        At this point the type checker knows that joe has type BasicUser.
        """

    @runtime_checkable
    class SupportsInt(Protocol):
        """An ABC with one abstract method __int__."""
        __slots__ = ()

        @abstractmethod
        def __int__(self) -> int:
            pass

    @runtime_checkable
    class SupportsFloat(Protocol):
        """An ABC with one abstract method __float__."""
        __slots__ = ()

        @abstractmethod
        def __float__(self) -> float:
            pass

    @runtime_checkable
    class SupportsComplex(Protocol):
        """An ABC with one abstract method __complex__."""
        __slots__ = ()

        @abstractmethod
        def __complex__(self) -> complex:
            pass

    @runtime_checkable
    class SupportsBytes(Protocol):
        """An ABC with one abstract method __bytes__."""
        __slots__ = ()

        @abstractmethod
        def __bytes__(self) -> bytes:
            pass

    @runtime_checkable
    class SupportsIndex(Protocol):
        """An ABC with one abstract method __index__."""
        __slots__ = ()

        @abstractmethod
        def __index__(self) -> int:
            pass

    @runtime_checkable
    class SupportsAbs(Protocol[T_co]):
        """An ABC with one abstract method __abs__ that is covariant in its return type."""
        __slots__ = ()

        @abstractmethod
        def __abs__(self) -> T_co:
            pass

    @runtime_checkable
    class SupportsRound(Protocol[T_co]):
        """An ABC with one abstract method __round__ that is covariant in its return type."""
        __slots__ = ()

        @abstractmethod
        def __round__(self, ndigits: int = 0) -> T_co:
            pass

    def _make_nmtuple(name, types, module, defaults = ()):
        fields = [n for n, t in types]
        types = {n: _type_check(t, f"field {n} annotation must be a type")
                 for n, t in types}
        nm_tpl = collections.namedtuple(name, fields,
                                        defaults=defaults, module=module)
        nm_tpl.__annotations__ = nm_tpl.__new__.__annotations__ = types
        return nm_tpl

    # attributes prohibited to set in NamedTuple class syntax
    _prohibited = frozenset({'__new__', '__init__', '__slots__', '__getnewargs__',
                             '_fields', '_field_defaults',
                             '_make', '_replace', '_asdict', '_source'})

    _special = frozenset({'__module__', '__name__', '__annotations__'})

    class NamedTupleMeta(type):

        def __new__(cls, typename, bases, ns):
            assert bases[0] is _NamedTuple
            types = ns.get('__annotations__', {})
            default_names = []
            for field_name in types:
                if field_name in ns:
                    default_names.append(field_name)
                elif default_names:
                    raise TypeError(f"Non-default namedtuple field {field_name} "
                                    f"cannot follow default field"
                                    f"{'s' if len(default_names) > 1 else ''} "
                                    f"{', '.join(default_names)}")
            nm_tpl = _make_nmtuple(typename, types.items(),
                                   defaults=[ns[n] for n in default_names],
                                   module=ns['__module__'])
            # update from user namespace without overriding special namedtuple attributes
            for key in ns:
                if key in _prohibited:
                    raise AttributeError("Cannot overwrite NamedTuple attribute " + key)
                elif key not in _special and key not in nm_tpl._fields:
                    setattr(nm_tpl, key, ns[key])
            return nm_tpl

    def NamedTuple(typename, fields=None, /, **kwargs):
        """Typed version of namedtuple.

        Usage in Python versions >= 3.6::

            class Employee(NamedTuple):
                name: str
                id: int

        This is equivalent to::

            Employee = collections.namedtuple('Employee', ['name', 'id'])

        The resulting class has an extra __annotations__ attribute, giving a
        dict that maps field names to types.  (The field names are also in
        the _fields attribute, which is part of the namedtuple API.)
        Alternative equivalent keyword syntax is also accepted::

            Employee = NamedTuple('Employee', name=str, id=int)

        In Python versions <= 3.5 use::

            Employee = NamedTuple('Employee', [('name', str), ('id', int)])
        """
        if fields is None:
            fields = kwargs.items()
        elif kwargs:
            raise TypeError("Either list of fields or keywords"
                            " can be provided to NamedTuple, not both")
        try:
            module = sys._getframe(1).f_globals.get('__name__', '__main__')
        except (AttributeError, ValueError):
            module = None
        return _make_nmtuple(typename, fields, module=module)

    _NamedTuple = type.__new__(NamedTupleMeta, 'NamedTuple', (), {})

    def _namedtuple_mro_entries(bases):
        if len(bases) > 1:
            raise TypeError("Multiple inheritance with NamedTuple is not supported")
        assert bases[0] is NamedTuple
        return (_NamedTuple,)

    NamedTuple.__mro_entries__ = _namedtuple_mro_entries

    class _TypedDictMeta(type):
        def __new__(cls, name, bases, ns, total=True):
            """Create new typed dict class object.

            This method is called when TypedDict is subclassed,
            or when TypedDict is instantiated. This way
            TypedDict supports all three syntax forms described in its docstring.
            Subclasses and instances of TypedDict return actual dictionaries.
            """
            for base in bases:
                if type(base) is not _TypedDictMeta:
                    raise TypeError('cannot inherit from both a TypedDict type '
                                    'and a non-TypedDict base class')
            tp_dict = type.__new__(_TypedDictMeta, name, (dict,), ns)

            annotations = {}
            own_annotations = ns.get('__annotations__', {})
            own_annotation_keys = set(own_annotations.keys())
            msg = "TypedDict('Name', {f0: t0, f1: t1, ...}); each t must be a type"
            own_annotations = {
                n: _type_check(tp, msg, module=tp_dict.__module__)
                for n, tp in own_annotations.items()
            }
            required_keys = set()
            optional_keys = set()

            for base in bases:
                annotations.update(base.__dict__.get('__annotations__', {}))
                required_keys.update(base.__dict__.get('__required_keys__', ()))
                optional_keys.update(base.__dict__.get('__optional_keys__', ()))

            annotations.update(own_annotations)
            if total:
                required_keys.update(own_annotation_keys)
            else:
                optional_keys.update(own_annotation_keys)

            tp_dict.__annotations__ = annotations
            tp_dict.__required_keys__ = frozenset(required_keys)
            tp_dict.__optional_keys__ = frozenset(optional_keys)
            if not hasattr(tp_dict, '__total__'):
                tp_dict.__total__ = total
            return tp_dict

        __call__ = dict  # static method

        def __subclasscheck__(cls, other):
            # Typed dicts are only for static structural subtyping.
            raise TypeError('TypedDict does not support instance and class checks')

        __instancecheck__ = __subclasscheck__

    def TypedDict(typename, fields=None, /, *, total=True, **kwargs):
        """A simple typed namespace. At runtime it is equivalent to a plain dict.

        TypedDict creates a dictionary type that expects all of its
        instances to have a certain set of keys, where each key is
        associated with a value of a consistent type. This expectation
        is not checked at runtime but is only enforced by type checkers.
        Usage::

            class Point2D(TypedDict):
                x: int
                y: int
                label: str

            a: Point2D = {'x': 1, 'y': 2, 'label': 'good'}  # OK
            b: Point2D = {'z': 3, 'label': 'bad'}           # Fails type check

            assert Point2D(x=1, y=2, label='first') == dict(x=1, y=2, label='first')

        The type info can be accessed via the Point2D.__annotations__ dict, and
        the Point2D.__required_keys__ and Point2D.__optional_keys__ frozensets.
        TypedDict supports two additional equivalent forms::

            Point2D = TypedDict('Point2D', x=int, y=int, label=str)
            Point2D = TypedDict('Point2D', {'x': int, 'y': int, 'label': str})

        By default, all keys must be present in a TypedDict. It is possible
        to override this by specifying totality.
        Usage::

            class point2D(TypedDict, total=False):
                x: int
                y: int

        This means that a point2D TypedDict can have any of the keys omitted.A type
        checker is only expected to support a literal False or True as the value of
        the total argument. True is the default, and makes all items defined in the
        class body be required.

        The class syntax is only supported in Python 3.6+, while two other
        syntax forms work for Python 2.7 and 3.2+
        """
        if fields is None:
            fields = kwargs
        elif kwargs:
            raise TypeError("TypedDict takes either a dict or keyword arguments,"
                            " but not both")

        ns = {'__annotations__': dict(fields)}
        try:
            # Setting correct module is necessary to make typed dict classes pickleable.
            ns['__module__'] = sys._getframe(1).f_globals.get('__name__', '__main__')
        except (AttributeError, ValueError):
            pass

        return _TypedDictMeta(typename, (), ns, total=total)

    _TypedDict = type.__new__(_TypedDictMeta, 'TypedDict', (), {})
    TypedDict.__mro_entries__ = lambda bases: (_TypedDict,)

    class NewType:
        """NewType creates simple unique types with almost zero
        runtime overhead. NewType(name, tp) is considered a subtype of tp
        by static type checkers. At runtime, NewType(name, tp) returns
        a dummy callable that simply returns its argument. Usage::

            UserId = NewType('UserId', int)

            def name_by_id(user_id: UserId) -> str:
                ...

            UserId('user')          # Fails type check

            name_by_id(42)          # Fails type check
            name_by_id(UserId(42))  # OK

            num = UserId(5) + 1     # type: int
        """

        def __init__(self, name, tp):
            self.__qualname__ = name
            if '.' in name:
                name = name.rpartition('.')[-1]
            self.__name__ = name
            self.__supertype__ = tp
            def_mod = _caller()
            if def_mod != 'typing':
                self.__module__ = def_mod

        def __repr__(self):
            return f'{self.__module__}.{self.__qualname__}'

        def __call__(self, x):
            return x

        def __reduce__(self):
            return self.__qualname__

        def __or__(self, other):
            return Union[self, other]

        def __ror__(self, other):
            return Union[other, self]

    # Python-version-specific alias (Python 2: unicode; Python 3: str)
    Text = str

    # Constant that's True when type checking, but False here.
    TYPE_CHECKING = False

    class IO(Generic[AnyStr]):
        """Generic base class for TextIO and BinaryIO.

        This is an abstract, generic version of the return of open().

        NOTE: This does not distinguish between the different possible
        classes (text vs. binary, read vs. write vs. read/write,
        append-only, unbuffered).  The TextIO and BinaryIO subclasses
        below capture the distinctions between text vs. binary, which is
        pervasive in the interface; however we currently do not offer a
        way to track the other distinctions in the type system.
        """

        __slots__ = ()

        @property
        @abstractmethod
        def mode(self) -> str:
            pass

        @property
        @abstractmethod
        def name(self) -> str:
            pass

        @abstractmethod
        def close(self) -> None:
            pass

        @property
        @abstractmethod
        def closed(self) -> bool:
            pass

        @abstractmethod
        def fileno(self) -> int:
            pass

        @abstractmethod
        def flush(self) -> None:
            pass

        @abstractmethod
        def isatty(self) -> bool:
            pass

        @abstractmethod
        def read(self, n: int = -1) -> AnyStr:
            pass

        @abstractmethod
        def readable(self) -> bool:
            pass

        @abstractmethod
        def readline(self, limit: int = -1) -> AnyStr:
            pass

        @abstractmethod
        def readlines(self, hint: int = -1) -> List[AnyStr]:
            pass

        @abstractmethod
        def seek(self, offset: int, whence: int = 0) -> int:
            pass

        @abstractmethod
        def seekable(self) -> bool:
            pass

        @abstractmethod
        def tell(self) -> int:
            pass

        @abstractmethod
        def truncate(self, size: int = None) -> int:
            pass

        @abstractmethod
        def writable(self) -> bool:
            pass

        @abstractmethod
        def write(self, s: AnyStr) -> int:
            pass

        @abstractmethod
        def writelines(self, lines: List[AnyStr]) -> None:
            pass

        @abstractmethod
        def __enter__(self) -> 'IO[AnyStr]':
            pass

        @abstractmethod
        def __exit__(self, type, value, traceback) -> None:
            pass

    class BinaryIO(IO[bytes]):
        """Typed version of the return of open() in binary mode."""

        __slots__ = ()

        @abstractmethod
        def write(self, s: Union[bytes, bytearray]) -> int:
            pass

        @abstractmethod
        def __enter__(self) -> 'BinaryIO':
            pass

    class TextIO(IO[str]):
        """Typed version of the return of open() in text mode."""

        __slots__ = ()

        @property
        @abstractmethod
        def buffer(self) -> BinaryIO:
            pass

        @property
        @abstractmethod
        def encoding(self) -> str:
            pass

        @property
        @abstractmethod
        def errors(self) -> Optional[str]:
            pass

        @property
        @abstractmethod
        def line_buffering(self) -> bool:
            pass

        @property
        @abstractmethod
        def newlines(self) -> Any:
            pass

        @abstractmethod
        def __enter__(self) -> 'TextIO':
            pass

    class io:
        """Wrapper namespace for IO generic classes."""

        __all__ = ['IO', 'TextIO', 'BinaryIO']
        IO = IO
        TextIO = TextIO
        BinaryIO = BinaryIO

    io.__name__ = __name__ + '.io'
    sys.modules[io.__name__] = io

    Pattern = _alias(stdlib_re.Pattern, 1)
    Match = _alias(stdlib_re.Match, 1)

    class re:
        """Wrapper namespace for re type aliases."""

        __all__ = ['Pattern', 'Match']
        Pattern = Pattern
        Match = Match

    re.__name__ = __name__ + '.re'
    sys.modules[re.__name__] = re