Problem:


Score : 200 points

Problem Statement

Let S(n) denote the sum of the digits in the decimal notation of n.
For example, S(101) = 1 + 0 + 1 = 2.

Given an integer N, determine if S(N) divides N.

Constraints

1 \leq N \leq 10^9

Input

Input is given from Standard Input in the following format:

N

Output

If S(N) divides N, print Yes; if it does not, print No.

Sample Input 1

12

Sample Output 1

Yes

In this input, N=12.
As S(12) = 1 + 2 = 3, S(N) divides N.

Sample Input 2

101

Sample Output 2

No

As S(101) = 1 + 0 + 1 = 2, S(N) does not divide N.

Sample Input 3

999999999

Sample Output 3

Yes



Sample input:
12


Sample output:
Yes

Submission status: Wrong Answer

Solution code:
# encoding: utf-8
# module builtins
# from (built-in)
# by generator 1.147
"""
Built-in functions, exceptions, and other objects.

Noteworthy: None is the `nil' object; Ellipsis represents `...' in slices.
"""
# no imports

# Variables with simple values
# definition of False omitted
# definition of None omitted
# definition of True omitted
# definition of __debug__ omitted

# functions

def abs(*args, **kwargs): # real signature unknown
    """ Return the absolute value of the argument. """
    pass

def all(*args, **kwargs): # real signature unknown
    """
    Return True if bool(x) is True for all values x in the iterable.
    
    If the iterable is empty, return True.
    """
    pass

def any(*args, **kwargs): # real signature unknown
    """
    Return True if bool(x) is True for any x in the iterable.
    
    If the iterable is empty, return False.
    """
    pass

def ascii(*args, **kwargs): # real signature unknown
    """
    Return an ASCII-only representation of an object.
    
    As repr(), return a string containing a printable representation of an
    object, but escape the non-ASCII characters in the string returned by
    repr() using \\x, \\u or \\U escapes. This generates a string similar
    to that returned by repr() in Python 2.
    """
    pass

def bin(*args, **kwargs): # real signature unknown; NOTE: unreliably restored from __doc__ 
    """
    Return the binary representation of an integer.
    
       >>> bin(2796202)
       '0b1010101010101010101010'
    """
    pass

def breakpoint(*args, **kws): # real signature unknown; restored from __doc__
    """
    breakpoint(*args, **kws)
    
    Call sys.breakpointhook(*args, **kws).  sys.breakpointhook() must accept
    whatever arguments are passed.
    
    By default, this drops you into the pdb debugger.
    """
    pass

def callable(i_e_, some_kind_of_function): # real signature unknown; restored from __doc__
    """
    Return whether the object is callable (i.e., some kind of function).
    
    Note that classes are callable, as are instances of classes with a
    __call__() method.
    """
    pass

def chr(*args, **kwargs): # real signature unknown
    """ Return a Unicode string of one character with ordinal i; 0 <= i <= 0x10ffff. """
    pass

def compile(*args, **kwargs): # real signature unknown
    """
    Compile source into a code object that can be executed by exec() or eval().
    
    The source code may represent a Python module, statement or expression.
    The filename will be used for run-time error messages.
    The mode must be 'exec' to compile a module, 'single' to compile a
    single (interactive) statement, or 'eval' to compile an expression.
    The flags argument, if present, controls which future statements influence
    the compilation of the code.
    The dont_inherit argument, if true, stops the compilation inheriting
    the effects of any future statements in effect in the code calling
    compile; if absent or false these statements do influence the compilation,
    in addition to any features explicitly specified.
    """
    pass

def copyright(*args, **kwargs): # real signature unknown
    """
    interactive prompt objects for printing the license text, a list of
        contributors and the copyright notice.
    """
    pass

def credits(*args, **kwargs): # real signature unknown
    """
    interactive prompt objects for printing the license text, a list of
        contributors and the copyright notice.
    """
    pass

def delattr(x, y): # real signature unknown; restored from __doc__
    """
    Deletes the named attribute from the given object.
    
    delattr(x, 'y') is equivalent to ``del x.y''
    """
    pass

def dir(p_object=None): # real signature unknown; restored from __doc__
    """
    dir([object]) -> list of strings
    
    If called without an argument, return the names in the current scope.
    Else, return an alphabetized list of names comprising (some of) the attributes
    of the given object, and of attributes reachable from it.
    If the object supplies a method named __dir__, it will be used; otherwise
    the default dir() logic is used and returns:
      for a module object: the module's attributes.
      for a class object:  its attributes, and recursively the attributes
        of its bases.
      for any other object: its attributes, its class's attributes, and
        recursively the attributes of its class's base classes.
    """
    return []

def divmod(x, y): # known case of builtins.divmod
    """ Return the tuple (x//y, x%y).  Invariant: div*y + mod == x. """
    return (0, 0)

def eval(*args, **kwargs): # real signature unknown
    """
    Evaluate the given source in the context of globals and locals.
    
    The source may be a string representing a Python expression
    or a code object as returned by compile().
    The globals must be a dictionary and locals can be any mapping,
    defaulting to the current globals and locals.
    If only globals is given, locals defaults to it.
    """
    pass

def exec(*args, **kwargs): # real signature unknown
    """
    Execute the given source in the context of globals and locals.
    
    The source may be a string representing one or more Python statements
    or a code object as returned by compile().
    The globals must be a dictionary and locals can be any mapping,
    defaulting to the current globals and locals.
    If only globals is given, locals defaults to it.
    """
    pass

def exit(*args, **kwargs): # real signature unknown
    pass

def format(*args, **kwargs): # real signature unknown
    """
    Return value.__format__(format_spec)
    
    format_spec defaults to the empty string.
    See the Format Specification Mini-Language section of help('FORMATTING') for
    details.
    """
    pass

def getattr(object, name, default=None): # known special case of getattr
    """
    getattr(object, name[, default]) -> value
    
    Get a named attribute from an object; getattr(x, 'y') is equivalent to x.y.
    When a default argument is given, it is returned when the attribute doesn't
    exist; without it, an exception is raised in that case.
    """
    pass

def globals(*args, **kwargs): # real signature unknown
    """
    Return the dictionary containing the current scope's global variables.
    
    NOTE: Updates to this dictionary *will* affect name lookups in the current
    global scope and vice-versa.
    """
    pass

def hasattr(*args, **kwargs): # real signature unknown
    """
    Return whether the object has an attribute with the given name.
    
    This is done by calling getattr(obj, name) and catching AttributeError.
    """
    pass

def hash(*args, **kwargs): # real signature unknown
    """
    Return the hash value for the given object.
    
    Two objects that compare equal must also have the same hash value, but the
    reverse is not necessarily true.
    """
    pass

def help(): # real signature unknown; restored from __doc__
    """
    Define the builtin 'help'.
    
        This is a wrapper around pydoc.help that provides a helpful message
        when 'help' is typed at the Python interactive prompt.
    
        Calling help() at the Python prompt starts an interactive help session.
        Calling help(thing) prints help for the python object 'thing'.
    """
    pass

def hex(*args, **kwargs): # real signature unknown; NOTE: unreliably restored from __doc__ 
    """
    Return the hexadecimal representation of an integer.
    
       >>> hex(12648430)
       '0xc0ffee'
    """
    pass

def id(*args, **kwargs): # real signature unknown
    """
    Return the identity of an object.
    
    This is guaranteed to be unique among simultaneously existing objects.
    (CPython uses the object's memory address.)
    """
    pass

def input(*args, **kwargs): # real signature unknown
    """
    Read a string from standard input.  The trailing newline is stripped.
    
    The prompt string, if given, is printed to standard output without a
    trailing newline before reading input.
    
    If the user hits EOF (*nix: Ctrl-D, Windows: Ctrl-Z+Return), raise EOFError.
    On *nix systems, readline is used if available.
    """
    pass

def isinstance(x, A_tuple): # real signature unknown; restored from __doc__
    """
    Return whether an object is an instance of a class or of a subclass thereof.
    
    A tuple, as in ``isinstance(x, (A, B, ...))``, may be given as the target to
    check against. This is equivalent to ``isinstance(x, A) or isinstance(x, B)
    or ...`` etc.
    """
    pass

def issubclass(x, A_tuple): # real signature unknown; restored from __doc__
    """
    Return whether 'cls' is a derived from another class or is the same class.
    
    A tuple, as in ``issubclass(x, (A, B, ...))``, may be given as the target to
    check against. This is equivalent to ``issubclass(x, A) or issubclass(x, B)
    or ...`` etc.
    """
    pass

def iter(source, sentinel=None): # known special case of iter
    """
    iter(iterable) -> iterator
    iter(callable, sentinel) -> iterator
    
    Get an iterator from an object.  In the first form, the argument must
    supply its own iterator, or be a sequence.
    In the second form, the callable is called until it returns the sentinel.
    """
    pass

def len(*args, **kwargs): # real signature unknown
    """ Return the number of items in a container. """
    pass

def license(*args, **kwargs): # real signature unknown
    """
    interactive prompt objects for printing the license text, a list of
        contributors and the copyright notice.
    """
    pass

def locals(*args, **kwargs): # real signature unknown
    """
    Return a dictionary containing the current scope's local variables.
    
    NOTE: Whether or not updates to this dictionary will affect name lookups in
    the local scope and vice-versa is *implementation dependent* and not
    covered by any backwards compatibility guarantees.
    """
    pass

def max(*args, key=None): # known special case of max
    """
    max(iterable, *[, default=obj, key=func]) -> value
    max(arg1, arg2, *args, *[, key=func]) -> value
    
    With a single iterable argument, return its biggest item. The
    default keyword-only argument specifies an object to return if
    the provided iterable is empty.
    With two or more arguments, return the largest argument.
    """
    pass

def min(*args, key=None): # known special case of min
    """
    min(iterable, *[, default=obj, key=func]) -> value
    min(arg1, arg2, *args, *[, key=func]) -> value
    
    With a single iterable argument, return its smallest item. The
    default keyword-only argument specifies an object to return if
    the provided iterable is empty.
    With two or more arguments, return the smallest argument.
    """
    pass

def next(iterator, default=None): # real signature unknown; restored from __doc__
    """
    next(iterator[, default])
    
    Return the next item from the iterator. If default is given and the iterator
    is exhausted, it is returned instead of raising StopIteration.
    """
    pass

def oct(*args, **kwargs): # real signature unknown; NOTE: unreliably restored from __doc__ 
    """
    Return the octal representation of an integer.
    
       >>> oct(342391)
       '0o1234567'
    """
    pass

def open(file, mode='r', buffering=None, encoding=None, errors=None, newline=None, closefd=True): # known special case of open
    """
    Open file and return a stream.  Raise OSError upon failure.
    
    file is either a text or byte string giving the name (and the path
    if the file isn't in the current working directory) of the file to
    be opened or an integer file descriptor of the file to be
    wrapped. (If a file descriptor is given, it is closed when the
    returned I/O object is closed, unless closefd is set to False.)
    
    mode is an optional string that specifies the mode in which the file
    is opened. It defaults to 'r' which means open for reading in text
    mode.  Other common values are 'w' for writing (truncating the file if
    it already exists), 'x' for creating and writing to a new file, and
    'a' for appending (which on some Unix systems, means that all writes
    append to the end of the file regardless of the current seek position).
    In text mode, if encoding is not specified the encoding used is platform
    dependent: locale.getpreferredencoding(False) is called to get the
    current locale encoding. (For reading and writing raw bytes use binary
    mode and leave encoding unspecified.) The available modes are:
    
    ========= ===============================================================
    Character Meaning
    --------- ---------------------------------------------------------------
    'r'       open for reading (default)
    'w'       open for writing, truncating the file first
    'x'       create a new file and open it for writing
    'a'       open for writing, appending to the end of the file if it exists
    'b'       binary mode
    't'       text mode (default)
    '+'       open a disk file for updating (reading and writing)
    'U'       universal newline mode (deprecated)
    ========= ===============================================================
    
    The default mode is 'rt' (open for reading text). For binary random
    access, the mode 'w+b' opens and truncates the file to 0 bytes, while
    'r+b' opens the file without truncation. The 'x' mode implies 'w' and
    raises an `FileExistsError` if the file already exists.
    
    Python distinguishes between files opened in binary and text modes,
    even when the underlying operating system doesn't. Files opened in
    binary mode (appending 'b' to the mode argument) return contents as
    bytes objects without any decoding. In text mode (the default, or when
    't' is appended to the mode argument), the contents of the file are
    returned as strings, the bytes having been first decoded using a
    platform-dependent encoding or using the specified encoding if given.
    
    'U' mode is deprecated and will raise an exception in future versions
    of Python.  It has no effect in Python 3.  Use newline to control
    universal newlines mode.
    
    buffering is an optional integer used to set the buffering policy.
    Pass 0 to switch buffering off (only allowed in binary mode), 1 to select
    line buffering (only usable in text mode), and an integer > 1 to indicate
    the size of a fixed-size chunk buffer.  When no buffering argument is
    given, the default buffering policy works as follows:
    
    * Binary files are buffered in fixed-size chunks; the size of the buffer
      is chosen using a heuristic trying to determine the underlying device's
      "block size" and falling back on `io.DEFAULT_BUFFER_SIZE`.
      On many systems, the buffer will typically be 4096 or 8192 bytes long.
    
    * "Interactive" text files (files for which isatty() returns True)
      use line buffering.  Other text files use the policy described above
      for binary files.
    
    encoding is the name of the encoding used to decode or encode the
    file. This should only be used in text mode. The default encoding is
    platform dependent, but any encoding supported by Python can be
    passed.  See the codecs module for the list of supported encodings.
    
    errors is an optional string that specifies how encoding errors are to
    be handled---this argument should not be used in binary mode. Pass
    'strict' to raise a ValueError exception if there is an encoding error
    (the default of None has the same effect), or pass 'ignore' to ignore
    errors. (Note that ignoring encoding errors can lead to data loss.)
    See the documentation for codecs.register or run 'help(codecs.Codec)'
    for a list of the permitted encoding error strings.
    
    newline controls how universal newlines works (it only applies to text
    mode). It can be None, '', '\n', '\r', and '\r\n'.  It works as
    follows:
    
    * On input, if newline is None, universal newlines mode is
      enabled. Lines in the input can end in '\n', '\r', or '\r\n', and
      these are translated into '\n' before being returned to the
      caller. If it is '', universal newline mode is enabled, but line
      endings are returned to the caller untranslated. If it has any of
      the other legal values, input lines are only terminated by the given
      string, and the line ending is returned to the caller untranslated.
    
    * On output, if newline is None, any '\n' characters written are
      translated to the system default line separator, os.linesep. If
      newline is '' or '\n', no translation takes place. If newline is any
      of the other legal values, any '\n' characters written are translated
      to the given string.
    
    If closefd is False, the underlying file descriptor will be kept open
    when the file is closed. This does not work when a file name is given
    and must be True in that case.
    
    A custom opener can be used by passing a callable as *opener*. The
    underlying file descriptor for the file object is then obtained by
    calling *opener* with (*file*, *flags*). *opener* must return an open
    file descriptor (passing os.open as *opener* results in functionality
    similar to passing None).
    
    open() returns a file object whose type depends on the mode, and
    through which the standard file operations such as reading and writing
    are performed. When open() is used to open a file in a text mode ('w',
    'r', 'wt', 'rt', etc.), it returns a TextIOWrapper. When used to open
    a file in a binary mode, the returned class varies: in read binary
    mode, it returns a BufferedReader; in write binary and append binary
    modes, it returns a BufferedWriter, and in read/write mode, it returns
    a BufferedRandom.
    
    It is also possible to use a string or bytearray as a file for both
    reading and writing. For strings StringIO can be used like a file
    opened in a text mode, and for bytes a BytesIO can be used like a file
    opened in a binary mode.
    """
    pass

def ord(*args, **kwargs): # real signature unknown
    """ Return the Unicode code point for a one-character string. """
    pass

def pow(*args, **kwargs): # real signature unknown
    """
    Equivalent to base**exp with 2 arguments or base**exp % mod with 3 arguments
    
    Some types, such as ints, are able to use a more efficient algorithm when
    invoked using the three argument form.
    """
    pass

def print(self, *args, sep=' ', end='\n', file=None): # known special case of print
    """
    print(value, ..., sep=' ', end='\n', file=sys.stdout, flush=False)
    
    Prints the values to a stream, or to sys.stdout by default.
    Optional keyword arguments:
    file:  a file-like object (stream); defaults to the current sys.stdout.
    sep:   string inserted between values, default a space.
    end:   string appended after the last value, default a newline.
    flush: whether to forcibly flush the stream.
    """
    pass

def quit(*args, **kwargs): # real signature unknown
    pass

def repr(obj): # real signature unknown; restored from __doc__
    """
    Return the canonical string representation of the object.
    
    For many object types, including most builtins, eval(repr(obj)) == obj.
    """
    pass

def round(*args, **kwargs): # real signature unknown
    """
    Round a number to a given precision in decimal digits.
    
    The return value is an integer if ndigits is omitted or None.  Otherwise
    the return value has the same type as the number.  ndigits may be negative.
    """
    pass

def setattr(x, y, v): # real signature unknown; restored from __doc__
    """
    Sets the named attribute on the given object to the specified value.
    
    setattr(x, 'y', v) is equivalent to ``x.y = v''
    """
    pass

def sorted(*args, **kwargs): # real signature unknown
    """
    Return a new list containing all items from the iterable in ascending order.
    
    A custom key function can be supplied to customize the sort order, and the
    reverse flag can be set to request the result in descending order.
    """
    pass

def sum(*args, **kwargs): # real signature unknown
    """
    Return the sum of a 'start' value (default: 0) plus an iterable of numbers
    
    When the iterable is empty, return the start value.
    This function is intended specifically for use with numeric values and may
    reject non-numeric types.
    """
    pass

def vars(p_object=None): # real signature unknown; restored from __doc__
    """
    vars([object]) -> dictionary
    
    Without arguments, equivalent to locals().
    With an argument, equivalent to object.__dict__.
    """
    return {}

def __build_class__(func, name, *args, **kwargs): # real signature unknown; NOTE: unreliably restored from __doc__ 
    """
    __build_class__(func, name, /, *bases, [metaclass], **kwds) -> class
    
    Internal helper function used by the class statement.
    """
    pass

def __import__(name, globals=None, locals=None, fromlist=(), level=0): # real signature unknown; restored from __doc__
    """
    __import__(name, globals=None, locals=None, fromlist=(), level=0) -> module
    
    Import a module. Because this function is meant for use by the Python
    interpreter and not for general use, it is better to use
    importlib.import_module() to programmatically import a module.
    
    The globals argument is only used to determine the context;
    they are not modified.  The locals argument is unused.  The fromlist
    should be a list of names to emulate ``from name import ...'', or an
    empty list to emulate ``import name''.
    When importing a module from a package, note that __import__('A.B', ...)
    returns package A when fromlist is empty, but its submodule B when
    fromlist is not empty.  The level argument is used to determine whether to
    perform absolute or relative imports: 0 is absolute, while a positive number
    is the number of parent directories to search relative to the current module.
    """
    pass

# classes


class __generator(object):
    '''A mock class representing the generator function type.'''
    def __init__(self):
        self.gi_code = None
        self.gi_frame = None
        self.gi_running = 0

    def __iter__(self):
        '''Defined to support iteration over container.'''
        pass

    def __next__(self):
        '''Return the next item from the container.'''
        pass

    def close(self):
        '''Raises new GeneratorExit exception inside the generator to terminate the iteration.'''
        pass

    def send(self, value):
        '''Resumes the generator and "sends" a value that becomes the result of the current yield-expression.'''
        pass

    def throw(self, type, value=None, traceback=None):
        '''Used to raise an exception inside the generator.'''
        pass


class __asyncgenerator(object):
    '''A mock class representing the async generator function type.'''
    def __init__(self):
        '''Create an async generator object.'''
        self.__name__ = ''
        self.__qualname__ = ''
        self.ag_await = None
        self.ag_frame = None
        self.ag_running = False
        self.ag_code = None

    def __aiter__(self):
        '''Defined to support iteration over container.'''
        pass

    def __anext__(self):
        '''Returns an awaitable, that performs one asynchronous generator iteration when awaited.'''
        pass

    def aclose(self):
        '''Returns an awaitable, that throws a GeneratorExit exception into generator.'''
        pass

    def asend(self, value):
        '''Returns an awaitable, that pushes the value object in generator.'''
        pass

    def athrow(self, type, value=None, traceback=None):
        '''Returns an awaitable, that throws an exception into generator.'''
        pass


class __function(object):
    '''A mock class representing function type.'''

    def __init__(self):
        self.__name__ = ''
        self.__doc__ = ''
        self.__dict__ = ''
        self.__module__ = ''

        self.__defaults__ = {}
        self.__globals__ = {}
        self.__closure__ = None
        self.__code__ = None
        self.__name__ = ''

        self.__annotations__ = {}
        self.__kwdefaults__ = {}

        self.__qualname__ = ''


class __method(object):
    '''A mock class representing method type.'''

    def __init__(self):

        self.__func__ = None
        self.__self__ = None


class __coroutine(object):
    '''A mock class representing coroutine type.'''

    def __init__(self):
        self.__name__ = ''
        self.__qualname__ = ''
        self.cr_await = None
        self.cr_frame = None
        self.cr_running = False
        self.cr_code = None

    def __await__(self):
        return []

    def close(self):
        pass

    def send(self, value):
        pass

    def throw(self, type, value=None, traceback=None):
        pass


class __namedtuple(tuple):
    '''A mock base class for named tuples.'''

    __slots__ = ()
    _fields = ()

    def __new__(cls, *args, **kwargs):
        'Create a new instance of the named tuple.'
        return tuple.__new__(cls, *args)

    @classmethod
    def _make(cls, iterable, new=tuple.__new__, len=len):
        'Make a new named tuple object from a sequence or iterable.'
        return new(cls, iterable)

    def __repr__(self):
        return ''

    def _asdict(self):
        'Return a new dict which maps field types to their values.'
        return {}

    def _replace(self, **kwargs):
        'Return a new named tuple object replacing specified fields with new values.'
        return self

    def __getnewargs__(self):
        return tuple(self)

class object:
    """
    The base class of the class hierarchy.
    
    When called, it accepts no arguments and returns a new featureless
    instance that has no instance attributes and cannot be given any.
    """
    def __delattr__(self, *args, **kwargs): # real signature unknown
        """ Implement delattr(self, name). """
        pass

    def __dir__(self, *args, **kwargs): # real signature unknown
        """ Default dir() implementation. """
        pass

    def __eq__(self, *args, **kwargs): # real signature unknown
        """ Return self==value. """
        pass

    def __format__(self, *args, **kwargs): # real signature unknown
        """ Default object formatter. """
        pass

    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __ge__(self, *args, **kwargs): # real signature unknown
        """ Return self>=value. """
        pass

    def __gt__(self, *args, **kwargs): # real signature unknown
        """ Return self>value. """
        pass

    def __hash__(self, *args, **kwargs): # real signature unknown
        """ Return hash(self). """
        pass

    def __init_subclass__(self, *args, **kwargs): # real signature unknown
        """
        This method is called when a class is subclassed.
        
        The default implementation does nothing. It may be
        overridden to extend subclasses.
        """
        pass

    def __init__(self): # known special case of object.__init__
        """ Initialize self.  See help(type(self)) for accurate signature. """
        pass

    def __le__(self, *args, **kwargs): # real signature unknown
        """ Return self<=value. """
        pass

    def __lt__(self, *args, **kwargs): # real signature unknown
        """ Return self<value. """
        pass

    @staticmethod # known case of __new__
    def __new__(cls, *more): # known special case of object.__new__
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __ne__(self, *args, **kwargs): # real signature unknown
        """ Return self!=value. """
        pass

    def __reduce_ex__(self, *args, **kwargs): # real signature unknown
        """ Helper for pickle. """
        pass

    def __reduce__(self, *args, **kwargs): # real signature unknown
        """ Helper for pickle. """
        pass

    def __repr__(self, *args, **kwargs): # real signature unknown
        """ Return repr(self). """
        pass

    def __setattr__(self, *args, **kwargs): # real signature unknown
        """ Implement setattr(self, name, value). """
        pass

    def __sizeof__(self, *args, **kwargs): # real signature unknown
        """ Size of object in memory, in bytes. """
        pass

    def __str__(self, *args, **kwargs): # real signature unknown
        """ Return str(self). """
        pass

    @classmethod # known case
    def __subclasshook__(cls, subclass): # known special case of object.__subclasshook__
        """
        Abstract classes can override this to customize issubclass().
        
        This is invoked early on by abc.ABCMeta.__subclasscheck__().
        It should return True, False or NotImplemented.  If it returns
        NotImplemented, the normal algorithm is used.  Otherwise, it
        overrides the normal algorithm (and the outcome is cached).
        """
        pass

    __class__ = None # (!) forward: type, real value is "<class 'type'>"
    __dict__ = {}
    __doc__ = ''
    __module__ = ''


class BaseException(object):
    """ Common base class for all exceptions """
    def with_traceback(self, tb): # real signature unknown; restored from __doc__
        """
        Exception.with_traceback(tb) --
            set self.__traceback__ to tb and return self.
        """
        pass

    def __delattr__(self, *args, **kwargs): # real signature unknown
        """ Implement delattr(self, name). """
        pass

    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __reduce__(self, *args, **kwargs): # real signature unknown
        pass

    def __repr__(self, *args, **kwargs): # real signature unknown
        """ Return repr(self). """
        pass

    def __setattr__(self, *args, **kwargs): # real signature unknown
        """ Implement setattr(self, name, value). """
        pass

    def __setstate__(self, *args, **kwargs): # real signature unknown
        pass

    def __str__(self, *args, **kwargs): # real signature unknown
        """ Return str(self). """
        pass

    args = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default

    __cause__ = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception cause"""

    __context__ = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception context"""

    __suppress_context__ = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default

    __traceback__ = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default


    __dict__ = None # (!) real value is "mappingproxy({'__repr__': <slot wrapper '__repr__' of 'BaseException' objects>, '__str__': <slot wrapper '__str__' of 'BaseException' objects>, '__getattribute__': <slot wrapper '__getattribute__' of 'BaseException' objects>, '__setattr__': <slot wrapper '__setattr__' of 'BaseException' objects>, '__delattr__': <slot wrapper '__delattr__' of 'BaseException' objects>, '__init__': <slot wrapper '__init__' of 'BaseException' objects>, '__new__': <built-in method __new__ of type object at 0x1063c7460>, '__reduce__': <method '__reduce__' of 'BaseException' objects>, '__setstate__': <method '__setstate__' of 'BaseException' objects>, 'with_traceback': <method 'with_traceback' of 'BaseException' objects>, '__suppress_context__': <member '__suppress_context__' of 'BaseException' objects>, '__dict__': <attribute '__dict__' of 'BaseException' objects>, 'args': <attribute 'args' of 'BaseException' objects>, '__traceback__': <attribute '__traceback__' of 'BaseException' objects>, '__context__': <attribute '__context__' of 'BaseException' objects>, '__cause__': <attribute '__cause__' of 'BaseException' objects>, '__doc__': 'Common base class for all exceptions'})"


class Exception(BaseException):
    """ Common base class for all non-exit exceptions. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class ArithmeticError(Exception):
    """ Base class for arithmetic errors. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class AssertionError(Exception):
    """ Assertion failed. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class AttributeError(Exception):
    """ Attribute not found. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class OSError(Exception):
    """ Base class for I/O related errors. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __reduce__(self, *args, **kwargs): # real signature unknown
        pass

    def __str__(self, *args, **kwargs): # real signature unknown
        """ Return str(self). """
        pass

    characters_written = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default

    errno = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """POSIX exception code"""

    filename = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception filename"""

    filename2 = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """second exception filename"""

    strerror = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception strerror"""



IOError = OSError


EnvironmentError = OSError


class BlockingIOError(OSError):
    """ I/O operation would block. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass


class int(object):
    """
    int([x]) -> integer
    int(x, base=10) -> integer
    
    Convert a number or string to an integer, or return 0 if no arguments
    are given.  If x is a number, return x.__int__().  For floating point
    numbers, this truncates towards zero.
    
    If x is not a number or if base is given, then x must be a string,
    bytes, or bytearray instance representing an integer literal in the
    given base.  The literal can be preceded by '+' or '-' and be surrounded
    by whitespace.  The base defaults to 10.  Valid bases are 0 and 2-36.
    Base 0 means to interpret the base from the string as an integer literal.
    >>> int('0b100', base=0)
    4
    """
    def as_integer_ratio(self): # real signature unknown; restored from __doc__
        """
        Return integer ratio.
        
        Return a pair of integers, whose ratio is exactly equal to the original int
        and with a positive denominator.
        
        >>> (10).as_integer_ratio()
        (10, 1)
        >>> (-10).as_integer_ratio()
        (-10, 1)
        >>> (0).as_integer_ratio()
        (0, 1)
        """
        pass

    def bit_length(self): # real signature unknown; restored from __doc__
        """
        Number of bits necessary to represent self in binary.
        
        >>> bin(37)
        '0b100101'
        >>> (37).bit_length()
        6
        """
        pass

    def conjugate(self, *args, **kwargs): # real signature unknown
        """ Returns self, the complex conjugate of any int. """
        pass

    @classmethod # known case
    def from_bytes(cls, *args, **kwargs): # real signature unknown
        """
        Return the integer represented by the given array of bytes.
        
          bytes
            Holds the array of bytes to convert.  The argument must either
            support the buffer protocol or be an iterable object producing bytes.
            Bytes and bytearray are examples of built-in objects that support the
            buffer protocol.
          byteorder
            The byte order used to represent the integer.  If byteorder is 'big',
            the most significant byte is at the beginning of the byte array.  If
            byteorder is 'little', the most significant byte is at the end of the
            byte array.  To request the native byte order of the host system, use
            `sys.byteorder' as the byte order value.
          signed
            Indicates whether two's complement is used to represent the integer.
        """
        pass

    def to_bytes(self, *args, **kwargs): # real signature unknown
        """
        Return an array of bytes representing an integer.
        
          length
            Length of bytes object to use.  An OverflowError is raised if the
            integer is not representable with the given number of bytes.
          byteorder
            The byte order used to represent the integer.  If byteorder is 'big',
            the most significant byte is at the beginning of the byte array.  If
            byteorder is 'little', the most significant byte is at the end of the
            byte array.  To request the native byte order of the host system, use
            `sys.byteorder' as the byte order value.
          signed
            Determines whether two's complement is used to represent the integer.
            If signed is False and a negative integer is given, an OverflowError
            is raised.
        """
        pass

    def __abs__(self, *args, **kwargs): # real signature unknown
        """ abs(self) """
        pass

    def __add__(self, *args, **kwargs): # real signature unknown
        """ Return self+value. """
        pass

    def __and__(self, *args, **kwargs): # real signature unknown
        """ Return self&value. """
        pass

    def __bool__(self, *args, **kwargs): # real signature unknown
        """ self != 0 """
        pass

    def __ceil__(self, *args, **kwargs): # real signature unknown
        """ Ceiling of an Integral returns itself. """
        pass

    def __divmod__(self, *args, **kwargs): # real signature unknown
        """ Return divmod(self, value). """
        pass

    def __eq__(self, *args, **kwargs): # real signature unknown
        """ Return self==value. """
        pass

    def __float__(self, *args, **kwargs): # real signature unknown
        """ float(self) """
        pass

    def __floordiv__(self, *args, **kwargs): # real signature unknown
        """ Return self//value. """
        pass

    def __floor__(self, *args, **kwargs): # real signature unknown
        """ Flooring an Integral returns itself. """
        pass

    def __format__(self, *args, **kwargs): # real signature unknown
        pass

    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __getnewargs__(self, *args, **kwargs): # real signature unknown
        pass

    def __ge__(self, *args, **kwargs): # real signature unknown
        """ Return self>=value. """
        pass

    def __gt__(self, *args, **kwargs): # real signature unknown
        """ Return self>value. """
        pass

    def __hash__(self, *args, **kwargs): # real signature unknown
        """ Return hash(self). """
        pass

    def __index__(self, *args, **kwargs): # real signature unknown
        """ Return self converted to an integer, if self is suitable for use as an index into a list. """
        pass

    def __init__(self, x, base=10): # known special case of int.__init__
        """
        int([x]) -> integer
        int(x, base=10) -> integer
        
        Convert a number or string to an integer, or return 0 if no arguments
        are given.  If x is a number, return x.__int__().  For floating point
        numbers, this truncates towards zero.
        
        If x is not a number or if base is given, then x must be a string,
        bytes, or bytearray instance representing an integer literal in the
        given base.  The literal can be preceded by '+' or '-' and be surrounded
        by whitespace.  The base defaults to 10.  Valid bases are 0 and 2-36.
        Base 0 means to interpret the base from the string as an integer literal.
        >>> int('0b100', base=0)
        4
        # (copied from class doc)
        """
        pass

    def __int__(self, *args, **kwargs): # real signature unknown
        """ int(self) """
        pass

    def __invert__(self, *args, **kwargs): # real signature unknown
        """ ~self """
        pass

    def __le__(self, *args, **kwargs): # real signature unknown
        """ Return self<=value. """
        pass

    def __lshift__(self, *args, **kwargs): # real signature unknown
        """ Return self<<value. """
        pass

    def __lt__(self, *args, **kwargs): # real signature unknown
        """ Return self<value. """
        pass

    def __mod__(self, *args, **kwargs): # real signature unknown
        """ Return self%value. """
        pass

    def __mul__(self, *args, **kwargs): # real signature unknown
        """ Return self*value. """
        pass

    def __neg__(self, *args, **kwargs): # real signature unknown
        """ -self """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __ne__(self, *args, **kwargs): # real signature unknown
        """ Return self!=value. """
        pass

    def __or__(self, *args, **kwargs): # real signature unknown
        """ Return self|value. """
        pass

    def __pos__(self, *args, **kwargs): # real signature unknown
        """ +self """
        pass

    def __pow__(self, *args, **kwargs): # real signature unknown
        """ Return pow(self, value, mod). """
        pass

    def __radd__(self, *args, **kwargs): # real signature unknown
        """ Return value+self. """
        pass

    def __rand__(self, *args, **kwargs): # real signature unknown
        """ Return value&self. """
        pass

    def __rdivmod__(self, *args, **kwargs): # real signature unknown
        """ Return divmod(value, self). """
        pass

    def __repr__(self, *args, **kwargs): # real signature unknown
        """ Return repr(self). """
        pass

    def __rfloordiv__(self, *args, **kwargs): # real signature unknown
        """ Return value//self. """
        pass

    def __rlshift__(self, *args, **kwargs): # real signature unknown
        """ Return value<<self. """
        pass

    def __rmod__(self, *args, **kwargs): # real signature unknown
        """ Return value%self. """
        pass

    def __rmul__(self, *args, **kwargs): # real signature unknown
        """ Return value*self. """
        pass

    def __ror__(self, *args, **kwargs): # real signature unknown
        """ Return value|self. """
        pass

    def __round__(self, *args, **kwargs): # real signature unknown
        """
        Rounding an Integral returns itself.
        Rounding with an ndigits argument also returns an integer.
        """
        pass

    def __rpow__(self, *args, **kwargs): # real signature unknown
        """ Return pow(value, self, mod). """
        pass

    def __rrshift__(self, *args, **kwargs): # real signature unknown
        """ Return value>>self. """
        pass

    def __rshift__(self, *args, **kwargs): # real signature unknown
        """ Return self>>value. """
        pass

    def __rsub__(self, *args, **kwargs): # real signature unknown
        """ Return value-self. """
        pass

    def __rtruediv__(self, *args, **kwargs): # real signature unknown
        """ Return value/self. """
        pass

    def __rxor__(self, *args, **kwargs): # real signature unknown
        """ Return value^self. """
        pass

    def __sizeof__(self, *args, **kwargs): # real signature unknown
        """ Returns size in memory, in bytes. """
        pass

    def __sub__(self, *args, **kwargs): # real signature unknown
        """ Return self-value. """
        pass

    def __truediv__(self, *args, **kwargs): # real signature unknown
        """ Return self/value. """
        pass

    def __trunc__(self, *args, **kwargs): # real signature unknown
        """ Truncating an Integral returns itself. """
        pass

    def __xor__(self, *args, **kwargs): # real signature unknown
        """ Return self^value. """
        pass

    denominator = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """the denominator of a rational number in lowest terms"""

    imag = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """the imaginary part of a complex number"""

    numerator = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """the numerator of a rational number in lowest terms"""

    real = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """the real part of a complex number"""



class bool(int):
    """
    bool(x) -> bool
    
    Returns True when the argument x is true, False otherwise.
    The builtins True and False are the only two instances of the class bool.
    The class bool is a subclass of the class int, and cannot be subclassed.
    """
    def __and__(self, *args, **kwargs): # real signature unknown
        """ Return self&value. """
        pass

    def __init__(self, x): # real signature unknown; restored from __doc__
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __or__(self, *args, **kwargs): # real signature unknown
        """ Return self|value. """
        pass

    def __rand__(self, *args, **kwargs): # real signature unknown
        """ Return value&self. """
        pass

    def __repr__(self, *args, **kwargs): # real signature unknown
        """ Return repr(self). """
        pass

    def __ror__(self, *args, **kwargs): # real signature unknown
        """ Return value|self. """
        pass

    def __rxor__(self, *args, **kwargs): # real signature unknown
        """ Return value^self. """
        pass

    def __xor__(self, *args, **kwargs): # real signature unknown
        """ Return self^value. """
        pass


class ConnectionError(OSError):
    """ Connection error. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass


class BrokenPipeError(ConnectionError):
    """ Broken pipe. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass


class BufferError(Exception):
    """ Buffer error. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class bytearray(object):
    """
    bytearray(iterable_of_ints) -> bytearray
    bytearray(string, encoding[, errors]) -> bytearray
    bytearray(bytes_or_buffer) -> mutable copy of bytes_or_buffer
    bytearray(int) -> bytes array of size given by the parameter initialized with null bytes
    bytearray() -> empty bytes array
    
    Construct a mutable bytearray object from:
      - an iterable yielding integers in range(256)
      - a text string encoded using the specified encoding
      - a bytes or a buffer object
      - any object implementing the buffer API.
      - an integer
    """
    def append(self, *args, **kwargs): # real signature unknown
        """
        Append a single item to the end of the bytearray.
        
          item
            The item to be appended.
        """
        pass

    def capitalize(self): # real signature unknown; restored from __doc__
        """
        B.capitalize() -> copy of B
        
        Return a copy of B with only its first character capitalized (ASCII)
        and the rest lower-cased.
        """
        pass

    def center(self, *args, **kwargs): # real signature unknown
        """
        Return a centered string of length width.
        
        Padding is done using the specified fill character.
        """
        pass

    def clear(self, *args, **kwargs): # real signature unknown
        """ Remove all items from the bytearray. """
        pass

    def copy(self, *args, **kwargs): # real signature unknown
        """ Return a copy of B. """
        pass

    def count(self, sub, start=None, end=None): # real signature unknown; restored from __doc__
        """
        B.count(sub[, start[, end]]) -> int
        
        Return the number of non-overlapping occurrences of subsection sub in
        bytes B[start:end].  Optional arguments start and end are interpreted
        as in slice notation.
        """
        return 0

    def decode(self, *args, **kwargs): # real signature unknown
        """
        Decode the bytearray using the codec registered for encoding.
        
          encoding
            The encoding with which to decode the bytearray.
          errors
            The error handling scheme to use for the handling of decoding errors.
            The default is 'strict' meaning that decoding errors raise a
            UnicodeDecodeError. Other possible values are 'ignore' and 'replace'
            as well as any other name registered with codecs.register_error that
            can handle UnicodeDecodeErrors.
        """
        pass

    def endswith(self, suffix, start=None, end=None): # real signature unknown; restored from __doc__
        """
        B.endswith(suffix[, start[, end]]) -> bool
        
        Return True if B ends with the specified suffix, False otherwise.
        With optional start, test B beginning at that position.
        With optional end, stop comparing B at that position.
        suffix can also be a tuple of bytes to try.
        """
        return False

    def expandtabs(self, *args, **kwargs): # real signature unknown
        """
        Return a copy where all tab characters are expanded using spaces.
        
        If tabsize is not given, a tab size of 8 characters is assumed.
        """
        pass

    def extend(self, *args, **kwargs): # real signature unknown
        """
        Append all the items from the iterator or sequence to the end of the bytearray.
        
          iterable_of_ints
            The iterable of items to append.
        """
        pass

    def find(self, sub, start=None, end=None): # real signature unknown; restored from __doc__
        """
        B.find(sub[, start[, end]]) -> int
        
        Return the lowest index in B where subsection sub is found,
        such that sub is contained within B[start,end].  Optional
        arguments start and end are interpreted as in slice notation.
        
        Return -1 on failure.
        """
        return 0

    @classmethod # known case
    def fromhex(cls, *args, **kwargs): # real signature unknown; NOTE: unreliably restored from __doc__ 
        """
        Create a bytearray object from a string of hexadecimal numbers.
        
        Spaces between two numbers are accepted.
        Example: bytearray.fromhex('B9 01EF') -> bytearray(b'\\xb9\\x01\\xef')
        """
        pass

    def hex(self): # real signature unknown; restored from __doc__
        """
        Create a str of hexadecimal numbers from a bytearray object.
        
          sep
            An optional single character or byte to separate hex bytes.
          bytes_per_sep
            How many bytes between separators.  Positive values count from the
            right, negative values count from the left.
        
        Example:
        >>> value = bytearray([0xb9, 0x01, 0xef])
        >>> value.hex()
        'b901ef'
        >>> value.hex(':')
        'b9:01:ef'
        >>> value.hex(':', 2)
        'b9:01ef'
        >>> value.hex(':', -2)
        'b901:ef'
        """
        pass

    def index(self, sub, start=None, end=None): # real signature unknown; restored from __doc__
        """
        B.index(sub[, start[, end]]) -> int
        
        Return the lowest index in B where subsection sub is found,
        such that sub is contained within B[start,end].  Optional
        arguments start and end are interpreted as in slice notation.
        
        Raises ValueError when the subsection is not found.
        """
        return 0

    def insert(self, *args, **kwargs): # real signature unknown
        """
        Insert a single item into the bytearray before the given index.
        
          index
            The index where the value is to be inserted.
          item
            The item to be inserted.
        """
        pass

    def isalnum(self): # real signature unknown; restored from __doc__
        """
        B.isalnum() -> bool
        
        Return True if all characters in B are alphanumeric
        and there is at least one character in B, False otherwise.
        """
        return False

    def isalpha(self): # real signature unknown; restored from __doc__
        """
        B.isalpha() -> bool
        
        Return True if all characters in B are alphabetic
        and there is at least one character in B, False otherwise.
        """
        return False

    def isascii(self): # real signature unknown; restored from __doc__
        """
        B.isascii() -> bool
        
        Return True if B is empty or all characters in B are ASCII,
        False otherwise.
        """
        return False

    def isdigit(self): # real signature unknown; restored from __doc__
        """
        B.isdigit() -> bool
        
        Return True if all characters in B are digits
        and there is at least one character in B, False otherwise.
        """
        return False

    def islower(self): # real signature unknown; restored from __doc__
        """
        B.islower() -> bool
        
        Return True if all cased characters in B are lowercase and there is
        at least one cased character in B, False otherwise.
        """
        return False

    def isspace(self): # real signature unknown; restored from __doc__
        """
        B.isspace() -> bool
        
        Return True if all characters in B are whitespace
        and there is at least one character in B, False otherwise.
        """
        return False

    def istitle(self): # real signature unknown; restored from __doc__
        """
        B.istitle() -> bool
        
        Return True if B is a titlecased string and there is at least one
        character in B, i.e. uppercase characters may only follow uncased
        characters and lowercase characters only cased ones. Return False
        otherwise.
        """
        return False

    def isupper(self): # real signature unknown; restored from __doc__
        """
        B.isupper() -> bool
        
        Return True if all cased characters in B are uppercase and there is
        at least one cased character in B, False otherwise.
        """
        return False

    def join(self, *args, **kwargs): # real signature unknown
        """
        Concatenate any number of bytes/bytearray objects.
        
        The bytearray whose method is called is inserted in between each pair.
        
        The result is returned as a new bytearray object.
        """
        pass

    def ljust(self, *args, **kwargs): # real signature unknown
        """
        Return a left-justified string of length width.
        
        Padding is done using the specified fill character.
        """
        pass

    def lower(self): # real signature unknown; restored from __doc__
        """
        B.lower() -> copy of B
        
        Return a copy of B with all ASCII characters converted to lowercase.
        """
        pass

    def lstrip(self, *args, **kwargs): # real signature unknown
        """
        Strip leading bytes contained in the argument.
        
        If the argument is omitted or None, strip leading ASCII whitespace.
        """
        pass

    @staticmethod # known case
    def maketrans(*args, **kwargs): # real signature unknown
        """
        Return a translation table useable for the bytes or bytearray translate method.
        
        The returned table will be one where each byte in frm is mapped to the byte at
        the same position in to.
        
        The bytes objects frm and to must be of the same length.
        """
        pass

    def partition(self, *args, **kwargs): # real signature unknown
        """
        Partition the bytearray into three parts using the given separator.
        
        This will search for the separator sep in the bytearray. If the separator is
        found, returns a 3-tuple containing the part before the separator, the
        separator itself, and the part after it as new bytearray objects.
        
        If the separator is not found, returns a 3-tuple containing the copy of the
        original bytearray object and two empty bytearray objects.
        """
        pass

    def pop(self, *args, **kwargs): # real signature unknown
        """
        Remove and return a single item from B.
        
          index
            The index from where to remove the item.
            -1 (the default value) means remove the last item.
        
        If no index argument is given, will pop the last item.
        """
        pass

    def remove(self, *args, **kwargs): # real signature unknown
        """
        Remove the first occurrence of a value in the bytearray.
        
          value
            The value to remove.
        """
        pass

    def replace(self, *args, **kwargs): # real signature unknown
        """
        Return a copy with all occurrences of substring old replaced by new.
        
          count
            Maximum number of occurrences to replace.
            -1 (the default value) means replace all occurrences.
        
        If the optional argument count is given, only the first count occurrences are
        replaced.
        """
        pass

    def reverse(self, *args, **kwargs): # real signature unknown
        """ Reverse the order of the values in B in place. """
        pass

    def rfind(self, sub, start=None, end=None): # real signature unknown; restored from __doc__
        """
        B.rfind(sub[, start[, end]]) -> int
        
        Return the highest index in B where subsection sub is found,
        such that sub is contained within B[start,end].  Optional
        arguments start and end are interpreted as in slice notation.
        
        Return -1 on failure.
        """
        return 0

    def rindex(self, sub, start=None, end=None): # real signature unknown; restored from __doc__
        """
        B.rindex(sub[, start[, end]]) -> int
        
        Return the highest index in B where subsection sub is found,
        such that sub is contained within B[start,end].  Optional
        arguments start and end are interpreted as in slice notation.
        
        Raise ValueError when the subsection is not found.
        """
        return 0

    def rjust(self, *args, **kwargs): # real signature unknown
        """
        Return a right-justified string of length width.
        
        Padding is done using the specified fill character.
        """
        pass

    def rpartition(self, *args, **kwargs): # real signature unknown
        """
        Partition the bytearray into three parts using the given separator.
        
        This will search for the separator sep in the bytearray, starting at the end.
        If the separator is found, returns a 3-tuple containing the part before the
        separator, the separator itself, and the part after it as new bytearray
        objects.
        
        If the separator is not found, returns a 3-tuple containing two empty bytearray
        objects and the copy of the original bytearray object.
        """
        pass

    def rsplit(self, *args, **kwargs): # real signature unknown
        """
        Return a list of the sections in the bytearray, using sep as the delimiter.
        
          sep
            The delimiter according which to split the bytearray.
            None (the default value) means split on ASCII whitespace characters
            (space, tab, return, newline, formfeed, vertical tab).
          maxsplit
            Maximum number of splits to do.
            -1 (the default value) means no limit.
        
        Splitting is done starting at the end of the bytearray and working to the front.
        """
        pass

    def rstrip(self, *args, **kwargs): # real signature unknown
        """
        Strip trailing bytes contained in the argument.
        
        If the argument is omitted or None, strip trailing ASCII whitespace.
        """
        pass

    def split(self, *args, **kwargs): # real signature unknown
        """
        Return a list of the sections in the bytearray, using sep as the delimiter.
        
          sep
            The delimiter according which to split the bytearray.
            None (the default value) means split on ASCII whitespace characters
            (space, tab, return, newline, formfeed, vertical tab).
          maxsplit
            Maximum number of splits to do.
            -1 (the default value) means no limit.
        """
        pass

    def splitlines(self, *args, **kwargs): # real signature unknown
        """
        Return a list of the lines in the bytearray, breaking at line boundaries.
        
        Line breaks are not included in the resulting list unless keepends is given and
        true.
        """
        pass

    def startswith(self, prefix, start=None, end=None): # real signature unknown; restored from __doc__
        """
        B.startswith(prefix[, start[, end]]) -> bool
        
        Return True if B starts with the specified prefix, False otherwise.
        With optional start, test B beginning at that position.
        With optional end, stop comparing B at that position.
        prefix can also be a tuple of bytes to try.
        """
        return False

    def strip(self, *args, **kwargs): # real signature unknown
        """
        Strip leading and trailing bytes contained in the argument.
        
        If the argument is omitted or None, strip leading and trailing ASCII whitespace.
        """
        pass

    def swapcase(self): # real signature unknown; restored from __doc__
        """
        B.swapcase() -> copy of B
        
        Return a copy of B with uppercase ASCII characters converted
        to lowercase ASCII and vice versa.
        """
        pass

    def title(self): # real signature unknown; restored from __doc__
        """
        B.title() -> copy of B
        
        Return a titlecased version of B, i.e. ASCII words start with uppercase
        characters, all remaining cased characters have lowercase.
        """
        pass

    def translate(self, *args, **kwargs): # real signature unknown
        """
        Return a copy with each character mapped by the given translation table.
        
          table
            Translation table, which must be a bytes object of length 256.
        
        All characters occurring in the optional argument delete are removed.
        The remaining characters are mapped through the given translation table.
        """
        pass

    def upper(self): # real signature unknown; restored from __doc__
        """
        B.upper() -> copy of B
        
        Return a copy of B with all ASCII characters converted to uppercase.
        """
        pass

    def zfill(self, *args, **kwargs): # real signature unknown
        """
        Pad a numeric string with zeros on the left, to fill a field of the given width.
        
        The original string is never truncated.
        """
        pass

    def __add__(self, *args, **kwargs): # real signature unknown
        """ Return self+value. """
        pass

    def __alloc__(self): # real signature unknown; restored from __doc__
        """
        B.__alloc__() -> int
        
        Return the number of bytes actually allocated.
        """
        return 0

    def __contains__(self, *args, **kwargs): # real signature unknown
        """ Return key in self. """
        pass

    def __delitem__(self, *args, **kwargs): # real signature unknown
        """ Delete self[key]. """
        pass

    def __eq__(self, *args, **kwargs): # real signature unknown
        """ Return self==value. """
        pass

    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __getitem__(self, *args, **kwargs): # real signature unknown
        """ Return self[key]. """
        pass

    def __ge__(self, *args, **kwargs): # real signature unknown
        """ Return self>=value. """
        pass

    def __gt__(self, *args, **kwargs): # real signature unknown
        """ Return self>value. """
        pass

    def __iadd__(self, *args, **kwargs): # real signature unknown
        """ Implement self+=value. """
        pass

    def __imul__(self, *args, **kwargs): # real signature unknown
        """ Implement self*=value. """
        pass

    def __init__(self, source=None, encoding=None, errors='strict'): # known special case of bytearray.__init__
        """
        bytearray(iterable_of_ints) -> bytearray
        bytearray(string, encoding[, errors]) -> bytearray
        bytearray(bytes_or_buffer) -> mutable copy of bytes_or_buffer
        bytearray(int) -> bytes array of size given by the parameter initialized with null bytes
        bytearray() -> empty bytes array
        
        Construct a mutable bytearray object from:
          - an iterable yielding integers in range(256)
          - a text string encoded using the specified encoding
          - a bytes or a buffer object
          - any object implementing the buffer API.
          - an integer
        # (copied from class doc)
        """
        pass

    def __iter__(self, *args, **kwargs): # real signature unknown
        """ Implement iter(self). """
        pass

    def __len__(self, *args, **kwargs): # real signature unknown
        """ Return len(self). """
        pass

    def __le__(self, *args, **kwargs): # real signature unknown
        """ Return self<=value. """
        pass

    def __lt__(self, *args, **kwargs): # real signature unknown
        """ Return self<value. """
        pass

    def __mod__(self, *args, **kwargs): # real signature unknown
        """ Return self%value. """
        pass

    def __mul__(self, *args, **kwargs): # real signature unknown
        """ Return self*value. """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __ne__(self, *args, **kwargs): # real signature unknown
        """ Return self!=value. """
        pass

    def __reduce_ex__(self, *args, **kwargs): # real signature unknown
        """ Return state information for pickling. """
        pass

    def __reduce__(self, *args, **kwargs): # real signature unknown
        """ Return state information for pickling. """
        pass

    def __repr__(self, *args, **kwargs): # real signature unknown
        """ Return repr(self). """
        pass

    def __rmod__(self, *args, **kwargs): # real signature unknown
        """ Return value%self. """
        pass

    def __rmul__(self, *args, **kwargs): # real signature unknown
        """ Return value*self. """
        pass

    def __setitem__(self, *args, **kwargs): # real signature unknown
        """ Set self[key] to value. """
        pass

    def __sizeof__(self, *args, **kwargs): # real signature unknown
        """ Returns the size of the bytearray object in memory, in bytes. """
        pass

    def __str__(self, *args, **kwargs): # real signature unknown
        """ Return str(self). """
        pass

    __hash__ = None


class bytes(object):
    """
    bytes(iterable_of_ints) -> bytes
    bytes(string, encoding[, errors]) -> bytes
    bytes(bytes_or_buffer) -> immutable copy of bytes_or_buffer
    bytes(int) -> bytes object of size given by the parameter initialized with null bytes
    bytes() -> empty bytes object
    
    Construct an immutable array of bytes from:
      - an iterable yielding integers in range(256)
      - a text string encoded using the specified encoding
      - any object implementing the buffer API.
      - an integer
    """
    def capitalize(self): # real signature unknown; restored from __doc__
        """
        B.capitalize() -> copy of B
        
        Return a copy of B with only its first character capitalized (ASCII)
        and the rest lower-cased.
        """
        pass

    def center(self, *args, **kwargs): # real signature unknown
        """
        Return a centered string of length width.
        
        Padding is done using the specified fill character.
        """
        pass

    def count(self, sub, start=None, end=None): # real signature unknown; restored from __doc__
        """
        B.count(sub[, start[, end]]) -> int
        
        Return the number of non-overlapping occurrences of subsection sub in
        bytes B[start:end].  Optional arguments start and end are interpreted
        as in slice notation.
        """
        return 0

    def decode(self, *args, **kwargs): # real signature unknown
        """
        Decode the bytes using the codec registered for encoding.
        
          encoding
            The encoding with which to decode the bytes.
          errors
            The error handling scheme to use for the handling of decoding errors.
            The default is 'strict' meaning that decoding errors raise a
            UnicodeDecodeError. Other possible values are 'ignore' and 'replace'
            as well as any other name registered with codecs.register_error that
            can handle UnicodeDecodeErrors.
        """
        pass

    def endswith(self, suffix, start=None, end=None): # real signature unknown; restored from __doc__
        """
        B.endswith(suffix[, start[, end]]) -> bool
        
        Return True if B ends with the specified suffix, False otherwise.
        With optional start, test B beginning at that position.
        With optional end, stop comparing B at that position.
        suffix can also be a tuple of bytes to try.
        """
        return False

    def expandtabs(self, *args, **kwargs): # real signature unknown
        """
        Return a copy where all tab characters are expanded using spaces.
        
        If tabsize is not given, a tab size of 8 characters is assumed.
        """
        pass

    def find(self, sub, start=None, end=None): # real signature unknown; restored from __doc__
        """
        B.find(sub[, start[, end]]) -> int
        
        Return the lowest index in B where subsection sub is found,
        such that sub is contained within B[start,end].  Optional
        arguments start and end are interpreted as in slice notation.
        
        Return -1 on failure.
        """
        return 0

    @classmethod # known case
    def fromhex(cls, *args, **kwargs): # real signature unknown; NOTE: unreliably restored from __doc__ 
        """
        Create a bytes object from a string of hexadecimal numbers.
        
        Spaces between two numbers are accepted.
        Example: bytes.fromhex('B9 01EF') -> b'\\xb9\\x01\\xef'.
        """
        pass

    def hex(self): # real signature unknown; restored from __doc__
        """
        Create a str of hexadecimal numbers from a bytes object.
        
          sep
            An optional single character or byte to separate hex bytes.
          bytes_per_sep
            How many bytes between separators.  Positive values count from the
            right, negative values count from the left.
        
        Example:
        >>> value = b'\xb9\x01\xef'
        >>> value.hex()
        'b901ef'
        >>> value.hex(':')
        'b9:01:ef'
        >>> value.hex(':', 2)
        'b9:01ef'
        >>> value.hex(':', -2)
        'b901:ef'
        """
        pass

    def index(self, sub, start=None, end=None): # real signature unknown; restored from __doc__
        """
        B.index(sub[, start[, end]]) -> int
        
        Return the lowest index in B where subsection sub is found,
        such that sub is contained within B[start,end].  Optional
        arguments start and end are interpreted as in slice notation.
        
        Raises ValueError when the subsection is not found.
        """
        return 0

    def isalnum(self): # real signature unknown; restored from __doc__
        """
        B.isalnum() -> bool
        
        Return True if all characters in B are alphanumeric
        and there is at least one character in B, False otherwise.
        """
        return False

    def isalpha(self): # real signature unknown; restored from __doc__
        """
        B.isalpha() -> bool
        
        Return True if all characters in B are alphabetic
        and there is at least one character in B, False otherwise.
        """
        return False

    def isascii(self): # real signature unknown; restored from __doc__
        """
        B.isascii() -> bool
        
        Return True if B is empty or all characters in B are ASCII,
        False otherwise.
        """
        return False

    def isdigit(self): # real signature unknown; restored from __doc__
        """
        B.isdigit() -> bool
        
        Return True if all characters in B are digits
        and there is at least one character in B, False otherwise.
        """
        return False

    def islower(self): # real signature unknown; restored from __doc__
        """
        B.islower() -> bool
        
        Return True if all cased characters in B are lowercase and there is
        at least one cased character in B, False otherwise.
        """
        return False

    def isspace(self): # real signature unknown; restored from __doc__
        """
        B.isspace() -> bool
        
        Return True if all characters in B are whitespace
        and there is at least one character in B, False otherwise.
        """
        return False

    def istitle(self): # real signature unknown; restored from __doc__
        """
        B.istitle() -> bool
        
        Return True if B is a titlecased string and there is at least one
        character in B, i.e. uppercase characters may only follow uncased
        characters and lowercase characters only cased ones. Return False
        otherwise.
        """
        return False

    def isupper(self): # real signature unknown; restored from __doc__
        """
        B.isupper() -> bool
        
        Return True if all cased characters in B are uppercase and there is
        at least one cased character in B, False otherwise.
        """
        return False

    def join(self, *args, **kwargs): # real signature unknown; NOTE: unreliably restored from __doc__ 
        """
        Concatenate any number of bytes objects.
        
        The bytes whose method is called is inserted in between each pair.
        
        The result is returned as a new bytes object.
        
        Example: b'.'.join([b'ab', b'pq', b'rs']) -> b'ab.pq.rs'.
        """
        pass

    def ljust(self, *args, **kwargs): # real signature unknown
        """
        Return a left-justified string of length width.
        
        Padding is done using the specified fill character.
        """
        pass

    def lower(self): # real signature unknown; restored from __doc__
        """
        B.lower() -> copy of B
        
        Return a copy of B with all ASCII characters converted to lowercase.
        """
        pass

    def lstrip(self, *args, **kwargs): # real signature unknown
        """
        Strip leading bytes contained in the argument.
        
        If the argument is omitted or None, strip leading  ASCII whitespace.
        """
        pass

    @staticmethod # known case
    def maketrans(*args, **kwargs): # real signature unknown
        """
        Return a translation table useable for the bytes or bytearray translate method.
        
        The returned table will be one where each byte in frm is mapped to the byte at
        the same position in to.
        
        The bytes objects frm and to must be of the same length.
        """
        pass

    def partition(self, *args, **kwargs): # real signature unknown
        """
        Partition the bytes into three parts using the given separator.
        
        This will search for the separator sep in the bytes. If the separator is found,
        returns a 3-tuple containing the part before the separator, the separator
        itself, and the part after it.
        
        If the separator is not found, returns a 3-tuple containing the original bytes
        object and two empty bytes objects.
        """
        pass

    def replace(self, *args, **kwargs): # real signature unknown
        """
        Return a copy with all occurrences of substring old replaced by new.
        
          count
            Maximum number of occurrences to replace.
            -1 (the default value) means replace all occurrences.
        
        If the optional argument count is given, only the first count occurrences are
        replaced.
        """
        pass

    def rfind(self, sub, start=None, end=None): # real signature unknown; restored from __doc__
        """
        B.rfind(sub[, start[, end]]) -> int
        
        Return the highest index in B where subsection sub is found,
        such that sub is contained within B[start,end].  Optional
        arguments start and end are interpreted as in slice notation.
        
        Return -1 on failure.
        """
        return 0

    def rindex(self, sub, start=None, end=None): # real signature unknown; restored from __doc__
        """
        B.rindex(sub[, start[, end]]) -> int
        
        Return the highest index in B where subsection sub is found,
        such that sub is contained within B[start,end].  Optional
        arguments start and end are interpreted as in slice notation.
        
        Raise ValueError when the subsection is not found.
        """
        return 0

    def rjust(self, *args, **kwargs): # real signature unknown
        """
        Return a right-justified string of length width.
        
        Padding is done using the specified fill character.
        """
        pass

    def rpartition(self, *args, **kwargs): # real signature unknown
        """
        Partition the bytes into three parts using the given separator.
        
        This will search for the separator sep in the bytes, starting at the end. If
        the separator is found, returns a 3-tuple containing the part before the
        separator, the separator itself, and the part after it.
        
        If the separator is not found, returns a 3-tuple containing two empty bytes
        objects and the original bytes object.
        """
        pass

    def rsplit(self, *args, **kwargs): # real signature unknown
        """
        Return a list of the sections in the bytes, using sep as the delimiter.
        
          sep
            The delimiter according which to split the bytes.
            None (the default value) means split on ASCII whitespace characters
            (space, tab, return, newline, formfeed, vertical tab).
          maxsplit
            Maximum number of splits to do.
            -1 (the default value) means no limit.
        
        Splitting is done starting at the end of the bytes and working to the front.
        """
        pass

    def rstrip(self, *args, **kwargs): # real signature unknown
        """
        Strip trailing bytes contained in the argument.
        
        If the argument is omitted or None, strip trailing ASCII whitespace.
        """
        pass

    def split(self, *args, **kwargs): # real signature unknown
        """
        Return a list of the sections in the bytes, using sep as the delimiter.
        
          sep
            The delimiter according which to split the bytes.
            None (the default value) means split on ASCII whitespace characters
            (space, tab, return, newline, formfeed, vertical tab).
          maxsplit
            Maximum number of splits to do.
            -1 (the default value) means no limit.
        """
        pass

    def splitlines(self, *args, **kwargs): # real signature unknown
        """
        Return a list of the lines in the bytes, breaking at line boundaries.
        
        Line breaks are not included in the resulting list unless keepends is given and
        true.
        """
        pass

    def startswith(self, prefix, start=None, end=None): # real signature unknown; restored from __doc__
        """
        B.startswith(prefix[, start[, end]]) -> bool
        
        Return True if B starts with the specified prefix, False otherwise.
        With optional start, test B beginning at that position.
        With optional end, stop comparing B at that position.
        prefix can also be a tuple of bytes to try.
        """
        return False

    def strip(self, *args, **kwargs): # real signature unknown
        """
        Strip leading and trailing bytes contained in the argument.
        
        If the argument is omitted or None, strip leading and trailing ASCII whitespace.
        """
        pass

    def swapcase(self): # real signature unknown; restored from __doc__
        """
        B.swapcase() -> copy of B
        
        Return a copy of B with uppercase ASCII characters converted
        to lowercase ASCII and vice versa.
        """
        pass

    def title(self): # real signature unknown; restored from __doc__
        """
        B.title() -> copy of B
        
        Return a titlecased version of B, i.e. ASCII words start with uppercase
        characters, all remaining cased characters have lowercase.
        """
        pass

    def translate(self, *args, **kwargs): # real signature unknown
        """
        Return a copy with each character mapped by the given translation table.
        
          table
            Translation table, which must be a bytes object of length 256.
        
        All characters occurring in the optional argument delete are removed.
        The remaining characters are mapped through the given translation table.
        """
        pass

    def upper(self): # real signature unknown; restored from __doc__
        """
        B.upper() -> copy of B
        
        Return a copy of B with all ASCII characters converted to uppercase.
        """
        pass

    def zfill(self, *args, **kwargs): # real signature unknown
        """
        Pad a numeric string with zeros on the left, to fill a field of the given width.
        
        The original string is never truncated.
        """
        pass

    def __add__(self, *args, **kwargs): # real signature unknown
        """ Return self+value. """
        pass

    def __contains__(self, *args, **kwargs): # real signature unknown
        """ Return key in self. """
        pass

    def __eq__(self, *args, **kwargs): # real signature unknown
        """ Return self==value. """
        pass

    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __getitem__(self, *args, **kwargs): # real signature unknown
        """ Return self[key]. """
        pass

    def __getnewargs__(self, *args, **kwargs): # real signature unknown
        pass

    def __ge__(self, *args, **kwargs): # real signature unknown
        """ Return self>=value. """
        pass

    def __gt__(self, *args, **kwargs): # real signature unknown
        """ Return self>value. """
        pass

    def __hash__(self, *args, **kwargs): # real signature unknown
        """ Return hash(self). """
        pass

    def __init__(self, value=b'', encoding=None, errors='strict'): # known special case of bytes.__init__
        """
        bytes(iterable_of_ints) -> bytes
        bytes(string, encoding[, errors]) -> bytes
        bytes(bytes_or_buffer) -> immutable copy of bytes_or_buffer
        bytes(int) -> bytes object of size given by the parameter initialized with null bytes
        bytes() -> empty bytes object
        
        Construct an immutable array of bytes from:
          - an iterable yielding integers in range(256)
          - a text string encoded using the specified encoding
          - any object implementing the buffer API.
          - an integer
        # (copied from class doc)
        """
        pass

    def __iter__(self, *args, **kwargs): # real signature unknown
        """ Implement iter(self). """
        pass

    def __len__(self, *args, **kwargs): # real signature unknown
        """ Return len(self). """
        pass

    def __le__(self, *args, **kwargs): # real signature unknown
        """ Return self<=value. """
        pass

    def __lt__(self, *args, **kwargs): # real signature unknown
        """ Return self<value. """
        pass

    def __mod__(self, *args, **kwargs): # real signature unknown
        """ Return self%value. """
        pass

    def __mul__(self, *args, **kwargs): # real signature unknown
        """ Return self*value. """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __ne__(self, *args, **kwargs): # real signature unknown
        """ Return self!=value. """
        pass

    def __repr__(self, *args, **kwargs): # real signature unknown
        """ Return repr(self). """
        pass

    def __rmod__(self, *args, **kwargs): # real signature unknown
        """ Return value%self. """
        pass

    def __rmul__(self, *args, **kwargs): # real signature unknown
        """ Return value*self. """
        pass

    def __str__(self, *args, **kwargs): # real signature unknown
        """ Return str(self). """
        pass


class Warning(Exception):
    """ Base class for warning categories. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class BytesWarning(Warning):
    """
    Base class for warnings about bytes and buffer related problems, mostly
    related to conversion from str or comparing to str.
    """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class ChildProcessError(OSError):
    """ Child process error. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass


class classmethod(object):
    """
    classmethod(function) -> method
    
    Convert a function to be a class method.
    
    A class method receives the class as implicit first argument,
    just like an instance method receives the instance.
    To declare a class method, use this idiom:
    
      class C:
          @classmethod
          def f(cls, arg1, arg2, ...):
              ...
    
    It can be called either on the class (e.g. C.f()) or on an instance
    (e.g. C().f()).  The instance is ignored except for its class.
    If a class method is called for a derived class, the derived class
    object is passed as the implied first argument.
    
    Class methods are different than C++ or Java static methods.
    If you want those, see the staticmethod builtin.
    """
    def __get__(self, *args, **kwargs): # real signature unknown
        """ Return an attribute of instance, which is of type owner. """
        pass

    def __init__(self, function): # real signature unknown; restored from __doc__
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    __func__ = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default

    __isabstractmethod__ = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default


    __dict__ = None # (!) real value is "mappingproxy({'__get__': <slot wrapper '__get__' of 'classmethod' objects>, '__init__': <slot wrapper '__init__' of 'classmethod' objects>, '__new__': <built-in method __new__ of type object at 0x1063d09f8>, '__func__': <member '__func__' of 'classmethod' objects>, '__isabstractmethod__': <attribute '__isabstractmethod__' of 'classmethod' objects>, '__dict__': <attribute '__dict__' of 'classmethod' objects>, '__doc__': 'classmethod(function) -> method\\n\\nConvert a function to be a class method.\\n\\nA class method receives the class as implicit first argument,\\njust like an instance method receives the instance.\\nTo declare a class method, use this idiom:\\n\\n  class C:\\n      @classmethod\\n      def f(cls, arg1, arg2, ...):\\n          ...\\n\\nIt can be called either on the class (e.g. C.f()) or on an instance\\n(e.g. C().f()).  The instance is ignored except for its class.\\nIf a class method is called for a derived class, the derived class\\nobject is passed as the implied first argument.\\n\\nClass methods are different than C++ or Java static methods.\\nIf you want those, see the staticmethod builtin.'})"


class complex(object):
    """
    Create a complex number from a real part and an optional imaginary part.
    
    This is equivalent to (real + imag*1j) where imag defaults to 0.
    """
    def conjugate(self): # real signature unknown; restored from __doc__
        """
        complex.conjugate() -> complex
        
        Return the complex conjugate of its argument. (3-4j).conjugate() == 3+4j.
        """
        return complex

    def __abs__(self, *args, **kwargs): # real signature unknown
        """ abs(self) """
        pass

    def __add__(self, *args, **kwargs): # real signature unknown
        """ Return self+value. """
        pass

    def __bool__(self, *args, **kwargs): # real signature unknown
        """ self != 0 """
        pass

    def __divmod__(self, *args, **kwargs): # real signature unknown
        """ Return divmod(self, value). """
        pass

    def __eq__(self, *args, **kwargs): # real signature unknown
        """ Return self==value. """
        pass

    def __float__(self, *args, **kwargs): # real signature unknown
        """ float(self) """
        pass

    def __floordiv__(self, *args, **kwargs): # real signature unknown
        """ Return self//value. """
        pass

    def __format__(self): # real signature unknown; restored from __doc__
        """
        complex.__format__() -> str
        
        Convert to a string according to format_spec.
        """
        return ""

    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __getnewargs__(self, *args, **kwargs): # real signature unknown
        pass

    def __ge__(self, *args, **kwargs): # real signature unknown
        """ Return self>=value. """
        pass

    def __gt__(self, *args, **kwargs): # real signature unknown
        """ Return self>value. """
        pass

    def __hash__(self, *args, **kwargs): # real signature unknown
        """ Return hash(self). """
        pass

    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    def __int__(self, *args, **kwargs): # real signature unknown
        """ int(self) """
        pass

    def __le__(self, *args, **kwargs): # real signature unknown
        """ Return self<=value. """
        pass

    def __lt__(self, *args, **kwargs): # real signature unknown
        """ Return self<value. """
        pass

    def __mod__(self, *args, **kwargs): # real signature unknown
        """ Return self%value. """
        pass

    def __mul__(self, *args, **kwargs): # real signature unknown
        """ Return self*value. """
        pass

    def __neg__(self, *args, **kwargs): # real signature unknown
        """ -self """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __ne__(self, *args, **kwargs): # real signature unknown
        """ Return self!=value. """
        pass

    def __pos__(self, *args, **kwargs): # real signature unknown
        """ +self """
        pass

    def __pow__(self, *args, **kwargs): # real signature unknown
        """ Return pow(self, value, mod). """
        pass

    def __radd__(self, *args, **kwargs): # real signature unknown
        """ Return value+self. """
        pass

    def __rdivmod__(self, *args, **kwargs): # real signature unknown
        """ Return divmod(value, self). """
        pass

    def __repr__(self, *args, **kwargs): # real signature unknown
        """ Return repr(self). """
        pass

    def __rfloordiv__(self, *args, **kwargs): # real signature unknown
        """ Return value//self. """
        pass

    def __rmod__(self, *args, **kwargs): # real signature unknown
        """ Return value%self. """
        pass

    def __rmul__(self, *args, **kwargs): # real signature unknown
        """ Return value*self. """
        pass

    def __rpow__(self, *args, **kwargs): # real signature unknown
        """ Return pow(value, self, mod). """
        pass

    def __rsub__(self, *args, **kwargs): # real signature unknown
        """ Return value-self. """
        pass

    def __rtruediv__(self, *args, **kwargs): # real signature unknown
        """ Return value/self. """
        pass

    def __sub__(self, *args, **kwargs): # real signature unknown
        """ Return self-value. """
        pass

    def __truediv__(self, *args, **kwargs): # real signature unknown
        """ Return self/value. """
        pass

    imag = property(lambda self: 0.0)
    """the imaginary part of a complex number

    :type: float
    """

    real = property(lambda self: 0.0)
    """the real part of a complex number

    :type: float
    """



class ConnectionAbortedError(ConnectionError):
    """ Connection aborted. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass


class ConnectionRefusedError(ConnectionError):
    """ Connection refused. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass


class ConnectionResetError(ConnectionError):
    """ Connection reset. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass


class DeprecationWarning(Warning):
    """ Base class for warnings about deprecated features. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class dict(object):
    """
    dict() -> new empty dictionary
    dict(mapping) -> new dictionary initialized from a mapping object's
        (key, value) pairs
    dict(iterable) -> new dictionary initialized as if via:
        d = {}
        for k, v in iterable:
            d[k] = v
    dict(**kwargs) -> new dictionary initialized with the name=value pairs
        in the keyword argument list.  For example:  dict(one=1, two=2)
    """
    def clear(self): # real signature unknown; restored from __doc__
        """ D.clear() -> None.  Remove all items from D. """
        pass

    def copy(self): # real signature unknown; restored from __doc__
        """ D.copy() -> a shallow copy of D """
        pass

    @staticmethod # known case
    def fromkeys(*args, **kwargs): # real signature unknown
        """ Create a new dictionary with keys from iterable and values set to value. """
        pass

    def get(self, *args, **kwargs): # real signature unknown
        """ Return the value for key if key is in the dictionary, else default. """
        pass

    def items(self): # real signature unknown; restored from __doc__
        """ D.items() -> a set-like object providing a view on D's items """
        pass

    def keys(self): # real signature unknown; restored from __doc__
        """ D.keys() -> a set-like object providing a view on D's keys """
        pass

    def pop(self, k, d=None): # real signature unknown; restored from __doc__
        """
        D.pop(k[,d]) -> v, remove specified key and return the corresponding value.
        If key is not found, d is returned if given, otherwise KeyError is raised
        """
        pass

    def popitem(self, *args, **kwargs): # real signature unknown
        """
        Remove and return a (key, value) pair as a 2-tuple.
        
        Pairs are returned in LIFO (last-in, first-out) order.
        Raises KeyError if the dict is empty.
        """
        pass

    def setdefault(self, *args, **kwargs): # real signature unknown
        """
        Insert key with a value of default if key is not in the dictionary.
        
        Return the value for key if key is in the dictionary, else default.
        """
        pass

    def update(self, E=None, **F): # known special case of dict.update
        """
        D.update([E, ]**F) -> None.  Update D from dict/iterable E and F.
        If E is present and has a .keys() method, then does:  for k in E: D[k] = E[k]
        If E is present and lacks a .keys() method, then does:  for k, v in E: D[k] = v
        In either case, this is followed by: for k in F:  D[k] = F[k]
        """
        pass

    def values(self): # real signature unknown; restored from __doc__
        """ D.values() -> an object providing a view on D's values """
        pass

    def __contains__(self, *args, **kwargs): # real signature unknown
        """ True if the dictionary has the specified key, else False. """
        pass

    def __delitem__(self, *args, **kwargs): # real signature unknown
        """ Delete self[key]. """
        pass

    def __eq__(self, *args, **kwargs): # real signature unknown
        """ Return self==value. """
        pass

    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __getitem__(self, y): # real signature unknown; restored from __doc__
        """ x.__getitem__(y) <==> x[y] """
        pass

    def __ge__(self, *args, **kwargs): # real signature unknown
        """ Return self>=value. """
        pass

    def __gt__(self, *args, **kwargs): # real signature unknown
        """ Return self>value. """
        pass

    def __init__(self, seq=None, **kwargs): # known special case of dict.__init__
        """
        dict() -> new empty dictionary
        dict(mapping) -> new dictionary initialized from a mapping object's
            (key, value) pairs
        dict(iterable) -> new dictionary initialized as if via:
            d = {}
            for k, v in iterable:
                d[k] = v
        dict(**kwargs) -> new dictionary initialized with the name=value pairs
            in the keyword argument list.  For example:  dict(one=1, two=2)
        # (copied from class doc)
        """
        pass

    def __iter__(self, *args, **kwargs): # real signature unknown
        """ Implement iter(self). """
        pass

    def __len__(self, *args, **kwargs): # real signature unknown
        """ Return len(self). """
        pass

    def __le__(self, *args, **kwargs): # real signature unknown
        """ Return self<=value. """
        pass

    def __lt__(self, *args, **kwargs): # real signature unknown
        """ Return self<value. """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __ne__(self, *args, **kwargs): # real signature unknown
        """ Return self!=value. """
        pass

    def __repr__(self, *args, **kwargs): # real signature unknown
        """ Return repr(self). """
        pass

    def __reversed__(self, *args, **kwargs): # real signature unknown
        """ Return a reverse iterator over the dict keys. """
        pass

    def __setitem__(self, *args, **kwargs): # real signature unknown
        """ Set self[key] to value. """
        pass

    def __sizeof__(self): # real signature unknown; restored from __doc__
        """ D.__sizeof__() -> size of D in memory, in bytes """
        pass

    __hash__ = None


class enumerate(object):
    """
    Return an enumerate object.
    
      iterable
        an object supporting iteration
    
    The enumerate object yields pairs containing a count (from start, which
    defaults to zero) and a value yielded by the iterable argument.
    
    enumerate is useful for obtaining an indexed list:
        (0, seq[0]), (1, seq[1]), (2, seq[2]), ...
    """
    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __init__(self, iterable, start=0): # known special case of enumerate.__init__
        """ Initialize self.  See help(type(self)) for accurate signature. """
        pass

    def __iter__(self, *args, **kwargs): # real signature unknown
        """ Implement iter(self). """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __next__(self, *args, **kwargs): # real signature unknown
        """ Implement next(self). """
        pass

    def __reduce__(self, *args, **kwargs): # real signature unknown
        """ Return state information for pickling. """
        pass


class EOFError(Exception):
    """ Read beyond end of file. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class FileExistsError(OSError):
    """ File already exists. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass


class FileNotFoundError(OSError):
    """ File not found. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass


class filter(object):
    """
    filter(function or None, iterable) --> filter object
    
    Return an iterator yielding those items of iterable for which function(item)
    is true. If function is None, return the items that are true.
    """
    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __init__(self, function_or_None, iterable): # real signature unknown; restored from __doc__
        pass

    def __iter__(self, *args, **kwargs): # real signature unknown
        """ Implement iter(self). """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __next__(self, *args, **kwargs): # real signature unknown
        """ Implement next(self). """
        pass

    def __reduce__(self, *args, **kwargs): # real signature unknown
        """ Return state information for pickling. """
        pass


class float(object):
    """ Convert a string or number to a floating point number, if possible. """
    def as_integer_ratio(self): # real signature unknown; restored from __doc__
        """
        Return integer ratio.
        
        Return a pair of integers, whose ratio is exactly equal to the original float
        and with a positive denominator.
        
        Raise OverflowError on infinities and a ValueError on NaNs.
        
        >>> (10.0).as_integer_ratio()
        (10, 1)
        >>> (0.0).as_integer_ratio()
        (0, 1)
        >>> (-.25).as_integer_ratio()
        (-1, 4)
        """
        pass

    def conjugate(self, *args, **kwargs): # real signature unknown
        """ Return self, the complex conjugate of any float. """
        pass

    @staticmethod # known case
    def fromhex(*args, **kwargs): # real signature unknown; NOTE: unreliably restored from __doc__ 
        """
        Create a floating-point number from a hexadecimal string.
        
        >>> float.fromhex('0x1.ffffp10')
        2047.984375
        >>> float.fromhex('-0x1p-1074')
        -5e-324
        """
        pass

    def hex(self): # real signature unknown; restored from __doc__
        """
        Return a hexadecimal representation of a floating-point number.
        
        >>> (-0.1).hex()
        '-0x1.999999999999ap-4'
        >>> 3.14159.hex()
        '0x1.921f9f01b866ep+1'
        """
        pass

    def is_integer(self, *args, **kwargs): # real signature unknown
        """ Return True if the float is an integer. """
        pass

    def __abs__(self, *args, **kwargs): # real signature unknown
        """ abs(self) """
        pass

    def __add__(self, *args, **kwargs): # real signature unknown
        """ Return self+value. """
        pass

    def __bool__(self, *args, **kwargs): # real signature unknown
        """ self != 0 """
        pass

    def __divmod__(self, *args, **kwargs): # real signature unknown
        """ Return divmod(self, value). """
        pass

    def __eq__(self, *args, **kwargs): # real signature unknown
        """ Return self==value. """
        pass

    def __float__(self, *args, **kwargs): # real signature unknown
        """ float(self) """
        pass

    def __floordiv__(self, *args, **kwargs): # real signature unknown
        """ Return self//value. """
        pass

    def __format__(self, *args, **kwargs): # real signature unknown
        """ Formats the float according to format_spec. """
        pass

    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __getformat__(self, *args, **kwargs): # real signature unknown
        """
        You probably don't want to use this function.
        
          typestr
            Must be 'double' or 'float'.
        
        It exists mainly to be used in Python's test suite.
        
        This function returns whichever of 'unknown', 'IEEE, big-endian' or 'IEEE,
        little-endian' best describes the format of floating point numbers used by the
        C type named by typestr.
        """
        pass

    def __getnewargs__(self, *args, **kwargs): # real signature unknown
        pass

    def __ge__(self, *args, **kwargs): # real signature unknown
        """ Return self>=value. """
        pass

    def __gt__(self, *args, **kwargs): # real signature unknown
        """ Return self>value. """
        pass

    def __hash__(self, *args, **kwargs): # real signature unknown
        """ Return hash(self). """
        pass

    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    def __int__(self, *args, **kwargs): # real signature unknown
        """ int(self) """
        pass

    def __le__(self, *args, **kwargs): # real signature unknown
        """ Return self<=value. """
        pass

    def __lt__(self, *args, **kwargs): # real signature unknown
        """ Return self<value. """
        pass

    def __mod__(self, *args, **kwargs): # real signature unknown
        """ Return self%value. """
        pass

    def __mul__(self, *args, **kwargs): # real signature unknown
        """ Return self*value. """
        pass

    def __neg__(self, *args, **kwargs): # real signature unknown
        """ -self """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __ne__(self, *args, **kwargs): # real signature unknown
        """ Return self!=value. """
        pass

    def __pos__(self, *args, **kwargs): # real signature unknown
        """ +self """
        pass

    def __pow__(self, *args, **kwargs): # real signature unknown
        """ Return pow(self, value, mod). """
        pass

    def __radd__(self, *args, **kwargs): # real signature unknown
        """ Return value+self. """
        pass

    def __rdivmod__(self, *args, **kwargs): # real signature unknown
        """ Return divmod(value, self). """
        pass

    def __repr__(self, *args, **kwargs): # real signature unknown
        """ Return repr(self). """
        pass

    def __rfloordiv__(self, *args, **kwargs): # real signature unknown
        """ Return value//self. """
        pass

    def __rmod__(self, *args, **kwargs): # real signature unknown
        """ Return value%self. """
        pass

    def __rmul__(self, *args, **kwargs): # real signature unknown
        """ Return value*self. """
        pass

    def __round__(self, *args, **kwargs): # real signature unknown
        """
        Return the Integral closest to x, rounding half toward even.
        
        When an argument is passed, work like built-in round(x, ndigits).
        """
        pass

    def __rpow__(self, *args, **kwargs): # real signature unknown
        """ Return pow(value, self, mod). """
        pass

    def __rsub__(self, *args, **kwargs): # real signature unknown
        """ Return value-self. """
        pass

    def __rtruediv__(self, *args, **kwargs): # real signature unknown
        """ Return value/self. """
        pass

    def __set_format__(self, *args, **kwargs): # real signature unknown
        """
        You probably don't want to use this function.
        
          typestr
            Must be 'double' or 'float'.
          fmt
            Must be one of 'unknown', 'IEEE, big-endian' or 'IEEE, little-endian',
            and in addition can only be one of the latter two if it appears to
            match the underlying C reality.
        
        It exists mainly to be used in Python's test suite.
        
        Override the automatic determination of C-level floating point type.
        This affects how floats are converted to and from binary strings.
        """
        pass

    def __sub__(self, *args, **kwargs): # real signature unknown
        """ Return self-value. """
        pass

    def __truediv__(self, *args, **kwargs): # real signature unknown
        """ Return self/value. """
        pass

    def __trunc__(self, *args, **kwargs): # real signature unknown
        """ Return the Integral closest to x between 0 and x. """
        pass

    imag = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """the imaginary part of a complex number"""

    real = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """the real part of a complex number"""



class FloatingPointError(ArithmeticError):
    """ Floating point operation failed. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class frozenset(object):
    """
    frozenset() -> empty frozenset object
    frozenset(iterable) -> frozenset object
    
    Build an immutable unordered collection of unique elements.
    """
    def copy(self, *args, **kwargs): # real signature unknown
        """ Return a shallow copy of a set. """
        pass

    def difference(self, *args, **kwargs): # real signature unknown
        """
        Return the difference of two or more sets as a new set.
        
        (i.e. all elements that are in this set but not the others.)
        """
        pass

    def intersection(self, *args, **kwargs): # real signature unknown
        """
        Return the intersection of two sets as a new set.
        
        (i.e. all elements that are in both sets.)
        """
        pass

    def isdisjoint(self, *args, **kwargs): # real signature unknown
        """ Return True if two sets have a null intersection. """
        pass

    def issubset(self, *args, **kwargs): # real signature unknown
        """ Report whether another set contains this set. """
        pass

    def issuperset(self, *args, **kwargs): # real signature unknown
        """ Report whether this set contains another set. """
        pass

    def symmetric_difference(self, *args, **kwargs): # real signature unknown
        """
        Return the symmetric difference of two sets as a new set.
        
        (i.e. all elements that are in exactly one of the sets.)
        """
        pass

    def union(self, *args, **kwargs): # real signature unknown
        """
        Return the union of sets as a new set.
        
        (i.e. all elements that are in either set.)
        """
        pass

    def __and__(self, *args, **kwargs): # real signature unknown
        """ Return self&value. """
        pass

    def __contains__(self, y): # real signature unknown; restored from __doc__
        """ x.__contains__(y) <==> y in x. """
        pass

    def __eq__(self, *args, **kwargs): # real signature unknown
        """ Return self==value. """
        pass

    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __ge__(self, *args, **kwargs): # real signature unknown
        """ Return self>=value. """
        pass

    def __gt__(self, *args, **kwargs): # real signature unknown
        """ Return self>value. """
        pass

    def __hash__(self, *args, **kwargs): # real signature unknown
        """ Return hash(self). """
        pass

    def __init__(self, seq=()): # known special case of frozenset.__init__
        """ Initialize self.  See help(type(self)) for accurate signature. """
        pass

    def __iter__(self, *args, **kwargs): # real signature unknown
        """ Implement iter(self). """
        pass

    def __len__(self, *args, **kwargs): # real signature unknown
        """ Return len(self). """
        pass

    def __le__(self, *args, **kwargs): # real signature unknown
        """ Return self<=value. """
        pass

    def __lt__(self, *args, **kwargs): # real signature unknown
        """ Return self<value. """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __ne__(self, *args, **kwargs): # real signature unknown
        """ Return self!=value. """
        pass

    def __or__(self, *args, **kwargs): # real signature unknown
        """ Return self|value. """
        pass

    def __rand__(self, *args, **kwargs): # real signature unknown
        """ Return value&self. """
        pass

    def __reduce__(self, *args, **kwargs): # real signature unknown
        """ Return state information for pickling. """
        pass

    def __repr__(self, *args, **kwargs): # real signature unknown
        """ Return repr(self). """
        pass

    def __ror__(self, *args, **kwargs): # real signature unknown
        """ Return value|self. """
        pass

    def __rsub__(self, *args, **kwargs): # real signature unknown
        """ Return value-self. """
        pass

    def __rxor__(self, *args, **kwargs): # real signature unknown
        """ Return value^self. """
        pass

    def __sizeof__(self): # real signature unknown; restored from __doc__
        """ S.__sizeof__() -> size of S in memory, in bytes """
        pass

    def __sub__(self, *args, **kwargs): # real signature unknown
        """ Return self-value. """
        pass

    def __xor__(self, *args, **kwargs): # real signature unknown
        """ Return self^value. """
        pass


class FutureWarning(Warning):
    """
    Base class for warnings about constructs that will change semantically
    in the future.
    """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class GeneratorExit(BaseException):
    """ Request that a generator exit. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class ImportError(Exception):
    """ Import can't find module, or can't find name in module. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    def __reduce__(self, *args, **kwargs): # real signature unknown
        pass

    def __str__(self, *args, **kwargs): # real signature unknown
        """ Return str(self). """
        pass

    msg = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception message"""

    name = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """module name"""

    path = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """module path"""



class ImportWarning(Warning):
    """ Base class for warnings about probable mistakes in module imports """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class SyntaxError(Exception):
    """ Invalid syntax. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    def __str__(self, *args, **kwargs): # real signature unknown
        """ Return str(self). """
        pass

    filename = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception filename"""

    lineno = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception lineno"""

    msg = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception msg"""

    offset = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception offset"""

    print_file_and_line = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception print_file_and_line"""

    text = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception text"""



class IndentationError(SyntaxError):
    """ Improper indentation. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass


class LookupError(Exception):
    """ Base class for lookup errors. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class IndexError(LookupError):
    """ Sequence index out of range. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class InterruptedError(OSError):
    """ Interrupted by signal. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass


class IsADirectoryError(OSError):
    """ Operation doesn't work on directories. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass


class KeyboardInterrupt(BaseException):
    """ Program interrupted by user. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class KeyError(LookupError):
    """ Mapping key not found. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    def __str__(self, *args, **kwargs): # real signature unknown
        """ Return str(self). """
        pass


class list(object):
    """
    Built-in mutable sequence.
    
    If no argument is given, the constructor creates a new empty list.
    The argument must be an iterable if specified.
    """
    def append(self, *args, **kwargs): # real signature unknown
        """ Append object to the end of the list. """
        pass

    def clear(self, *args, **kwargs): # real signature unknown
        """ Remove all items from list. """
        pass

    def copy(self, *args, **kwargs): # real signature unknown
        """ Return a shallow copy of the list. """
        pass

    def count(self, *args, **kwargs): # real signature unknown
        """ Return number of occurrences of value. """
        pass

    def extend(self, *args, **kwargs): # real signature unknown
        """ Extend list by appending elements from the iterable. """
        pass

    def index(self, *args, **kwargs): # real signature unknown
        """
        Return first index of value.
        
        Raises ValueError if the value is not present.
        """
        pass

    def insert(self, *args, **kwargs): # real signature unknown
        """ Insert object before index. """
        pass

    def pop(self, *args, **kwargs): # real signature unknown
        """
        Remove and return item at index (default last).
        
        Raises IndexError if list is empty or index is out of range.
        """
        pass

    def remove(self, *args, **kwargs): # real signature unknown
        """
        Remove first occurrence of value.
        
        Raises ValueError if the value is not present.
        """
        pass

    def reverse(self, *args, **kwargs): # real signature unknown
        """ Reverse *IN PLACE*. """
        pass

    def sort(self, *args, **kwargs): # real signature unknown
        """
        Sort the list in ascending order and return None.
        
        The sort is in-place (i.e. the list itself is modified) and stable (i.e. the
        order of two equal elements is maintained).
        
        If a key function is given, apply it once to each list item and sort them,
        ascending or descending, according to their function values.
        
        The reverse flag can be set to sort in descending order.
        """
        pass

    def __add__(self, *args, **kwargs): # real signature unknown
        """ Return self+value. """
        pass

    def __contains__(self, *args, **kwargs): # real signature unknown
        """ Return key in self. """
        pass

    def __delitem__(self, *args, **kwargs): # real signature unknown
        """ Delete self[key]. """
        pass

    def __eq__(self, *args, **kwargs): # real signature unknown
        """ Return self==value. """
        pass

    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __getitem__(self, y): # real signature unknown; restored from __doc__
        """ x.__getitem__(y) <==> x[y] """
        pass

    def __ge__(self, *args, **kwargs): # real signature unknown
        """ Return self>=value. """
        pass

    def __gt__(self, *args, **kwargs): # real signature unknown
        """ Return self>value. """
        pass

    def __iadd__(self, *args, **kwargs): # real signature unknown
        """ Implement self+=value. """
        pass

    def __imul__(self, *args, **kwargs): # real signature unknown
        """ Implement self*=value. """
        pass

    def __init__(self, seq=()): # known special case of list.__init__
        """
        Built-in mutable sequence.
        
        If no argument is given, the constructor creates a new empty list.
        The argument must be an iterable if specified.
        # (copied from class doc)
        """
        pass

    def __iter__(self, *args, **kwargs): # real signature unknown
        """ Implement iter(self). """
        pass

    def __len__(self, *args, **kwargs): # real signature unknown
        """ Return len(self). """
        pass

    def __le__(self, *args, **kwargs): # real signature unknown
        """ Return self<=value. """
        pass

    def __lt__(self, *args, **kwargs): # real signature unknown
        """ Return self<value. """
        pass

    def __mul__(self, *args, **kwargs): # real signature unknown
        """ Return self*value. """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __ne__(self, *args, **kwargs): # real signature unknown
        """ Return self!=value. """
        pass

    def __repr__(self, *args, **kwargs): # real signature unknown
        """ Return repr(self). """
        pass

    def __reversed__(self, *args, **kwargs): # real signature unknown
        """ Return a reverse iterator over the list. """
        pass

    def __rmul__(self, *args, **kwargs): # real signature unknown
        """ Return value*self. """
        pass

    def __setitem__(self, *args, **kwargs): # real signature unknown
        """ Set self[key] to value. """
        pass

    def __sizeof__(self, *args, **kwargs): # real signature unknown
        """ Return the size of the list in memory, in bytes. """
        pass

    __hash__ = None


class map(object):
    """
    map(func, *iterables) --> map object
    
    Make an iterator that computes the function using arguments from
    each of the iterables.  Stops when the shortest iterable is exhausted.
    """
    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __init__(self, func, *iterables): # real signature unknown; restored from __doc__
        pass

    def __iter__(self, *args, **kwargs): # real signature unknown
        """ Implement iter(self). """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __next__(self, *args, **kwargs): # real signature unknown
        """ Implement next(self). """
        pass

    def __reduce__(self, *args, **kwargs): # real signature unknown
        """ Return state information for pickling. """
        pass


class MemoryError(Exception):
    """ Out of memory. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class memoryview(object):
    """ Create a new memoryview object which references the given object. """
    def cast(self, *args, **kwargs): # real signature unknown
        """ Cast a memoryview to a new format or shape. """
        pass

    def hex(self): # real signature unknown; restored from __doc__
        """
        Return the data in the buffer as a str of hexadecimal numbers.
        
          sep
            An optional single character or byte to separate hex bytes.
          bytes_per_sep
            How many bytes between separators.  Positive values count from the
            right, negative values count from the left.
        
        Example:
        >>> value = memoryview(b'\xb9\x01\xef')
        >>> value.hex()
        'b901ef'
        >>> value.hex(':')
        'b9:01:ef'
        >>> value.hex(':', 2)
        'b9:01ef'
        >>> value.hex(':', -2)
        'b901:ef'
        """
        pass

    def release(self, *args, **kwargs): # real signature unknown
        """ Release the underlying buffer exposed by the memoryview object. """
        pass

    def tobytes(self, *args, **kwargs): # real signature unknown
        """
        Return the data in the buffer as a byte string. Order can be {'C', 'F', 'A'}.
        When order is 'C' or 'F', the data of the original array is converted to C or
        Fortran order. For contiguous views, 'A' returns an exact copy of the physical
        memory. In particular, in-memory Fortran order is preserved. For non-contiguous
        views, the data is converted to C first. order=None is the same as order='C'.
        """
        pass

    def tolist(self, *args, **kwargs): # real signature unknown
        """ Return the data in the buffer as a list of elements. """
        pass

    def toreadonly(self, *args, **kwargs): # real signature unknown
        """ Return a readonly version of the memoryview. """
        pass

    def __delitem__(self, *args, **kwargs): # real signature unknown
        """ Delete self[key]. """
        pass

    def __enter__(self, *args, **kwargs): # real signature unknown
        pass

    def __eq__(self, *args, **kwargs): # real signature unknown
        """ Return self==value. """
        pass

    def __exit__(self, *args, **kwargs): # real signature unknown
        pass

    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __getitem__(self, *args, **kwargs): # real signature unknown
        """ Return self[key]. """
        pass

    def __ge__(self, *args, **kwargs): # real signature unknown
        """ Return self>=value. """
        pass

    def __gt__(self, *args, **kwargs): # real signature unknown
        """ Return self>value. """
        pass

    def __hash__(self, *args, **kwargs): # real signature unknown
        """ Return hash(self). """
        pass

    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    def __len__(self, *args, **kwargs): # real signature unknown
        """ Return len(self). """
        pass

    def __le__(self, *args, **kwargs): # real signature unknown
        """ Return self<=value. """
        pass

    def __lt__(self, *args, **kwargs): # real signature unknown
        """ Return self<value. """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __ne__(self, *args, **kwargs): # real signature unknown
        """ Return self!=value. """
        pass

    def __repr__(self, *args, **kwargs): # real signature unknown
        """ Return repr(self). """
        pass

    def __setitem__(self, *args, **kwargs): # real signature unknown
        """ Set self[key] to value. """
        pass

    contiguous = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """A bool indicating whether the memory is contiguous."""

    c_contiguous = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """A bool indicating whether the memory is C contiguous."""

    format = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """A string containing the format (in struct module style)
 for each element in the view."""

    f_contiguous = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """A bool indicating whether the memory is Fortran contiguous."""

    itemsize = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """The size in bytes of each element of the memoryview."""

    nbytes = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """The amount of space in bytes that the array would use in
 a contiguous representation."""

    ndim = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """An integer indicating how many dimensions of a multi-dimensional
 array the memory represents."""

    obj = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """The underlying object of the memoryview."""

    readonly = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """A bool indicating whether the memory is read only."""

    shape = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """A tuple of ndim integers giving the shape of the memory
 as an N-dimensional array."""

    strides = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """A tuple of ndim integers giving the size in bytes to access
 each element for each dimension of the array."""

    suboffsets = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """A tuple of integers used internally for PIL-style arrays."""



class ModuleNotFoundError(ImportError):
    """ Module not found. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass


class NameError(Exception):
    """ Name not found globally. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class NotADirectoryError(OSError):
    """ Operation only works on directories. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass


class RuntimeError(Exception):
    """ Unspecified run-time error. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class NotImplementedError(RuntimeError):
    """ Method or function hasn't been implemented yet. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class OverflowError(ArithmeticError):
    """ Result too large to be represented. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class PendingDeprecationWarning(Warning):
    """
    Base class for warnings about features which will be deprecated
    in the future.
    """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class PermissionError(OSError):
    """ Not enough permissions. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass


class ProcessLookupError(OSError):
    """ Process not found. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass


class property(object):
    """
    Property attribute.
    
      fget
        function to be used for getting an attribute value
      fset
        function to be used for setting an attribute value
      fdel
        function to be used for del'ing an attribute
      doc
        docstring
    
    Typical use is to define a managed attribute x:
    
    class C(object):
        def getx(self): return self._x
        def setx(self, value): self._x = value
        def delx(self): del self._x
        x = property(getx, setx, delx, "I'm the 'x' property.")
    
    Decorators make defining new properties or modifying existing ones easy:
    
    class C(object):
        @property
        def x(self):
            "I am the 'x' property."
            return self._x
        @x.setter
        def x(self, value):
            self._x = value
        @x.deleter
        def x(self):
            del self._x
    """
    def deleter(self, *args, **kwargs): # real signature unknown
        """ Descriptor to change the deleter on a property. """
        pass

    def getter(self, *args, **kwargs): # real signature unknown
        """ Descriptor to change the getter on a property. """
        pass

    def setter(self, *args, **kwargs): # real signature unknown
        """ Descriptor to change the setter on a property. """
        pass

    def __delete__(self, *args, **kwargs): # real signature unknown
        """ Delete an attribute of instance. """
        pass

    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __get__(self, *args, **kwargs): # real signature unknown
        """ Return an attribute of instance, which is of type owner. """
        pass

    def __init__(self, fget=None, fset=None, fdel=None, doc=None): # known special case of property.__init__
        """
        Property attribute.
        
          fget
            function to be used for getting an attribute value
          fset
            function to be used for setting an attribute value
          fdel
            function to be used for del'ing an attribute
          doc
            docstring
        
        Typical use is to define a managed attribute x:
        
        class C(object):
            def getx(self): return self._x
            def setx(self, value): self._x = value
            def delx(self): del self._x
            x = property(getx, setx, delx, "I'm the 'x' property.")
        
        Decorators make defining new properties or modifying existing ones easy:
        
        class C(object):
            @property
            def x(self):
                "I am the 'x' property."
                return self._x
            @x.setter
            def x(self, value):
                self._x = value
            @x.deleter
            def x(self):
                del self._x
        # (copied from class doc)
        """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __set__(self, *args, **kwargs): # real signature unknown
        """ Set an attribute of instance to value. """
        pass

    fdel = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default

    fget = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default

    fset = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default

    __isabstractmethod__ = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default



class range(object):
    """
    range(stop) -> range object
    range(start, stop[, step]) -> range object
    
    Return an object that produces a sequence of integers from start (inclusive)
    to stop (exclusive) by step.  range(i, j) produces i, i+1, i+2, ..., j-1.
    start defaults to 0, and stop is omitted!  range(4) produces 0, 1, 2, 3.
    These are exactly the valid indices for a list of 4 elements.
    When step is given, it specifies the increment (or decrement).
    """
    def count(self, value): # real signature unknown; restored from __doc__
        """ rangeobject.count(value) -> integer -- return number of occurrences of value """
        return 0

    def index(self, value): # real signature unknown; restored from __doc__
        """
        rangeobject.index(value) -> integer -- return index of value.
        Raise ValueError if the value is not present.
        """
        return 0

    def __bool__(self, *args, **kwargs): # real signature unknown
        """ self != 0 """
        pass

    def __contains__(self, *args, **kwargs): # real signature unknown
        """ Return key in self. """
        pass

    def __eq__(self, *args, **kwargs): # real signature unknown
        """ Return self==value. """
        pass

    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __getitem__(self, *args, **kwargs): # real signature unknown
        """ Return self[key]. """
        pass

    def __ge__(self, *args, **kwargs): # real signature unknown
        """ Return self>=value. """
        pass

    def __gt__(self, *args, **kwargs): # real signature unknown
        """ Return self>value. """
        pass

    def __hash__(self, *args, **kwargs): # real signature unknown
        """ Return hash(self). """
        pass

    def __init__(self, stop): # real signature unknown; restored from __doc__
        pass

    def __iter__(self, *args, **kwargs): # real signature unknown
        """ Implement iter(self). """
        pass

    def __len__(self, *args, **kwargs): # real signature unknown
        """ Return len(self). """
        pass

    def __le__(self, *args, **kwargs): # real signature unknown
        """ Return self<=value. """
        pass

    def __lt__(self, *args, **kwargs): # real signature unknown
        """ Return self<value. """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __ne__(self, *args, **kwargs): # real signature unknown
        """ Return self!=value. """
        pass

    def __reduce__(self, *args, **kwargs): # real signature unknown
        pass

    def __repr__(self, *args, **kwargs): # real signature unknown
        """ Return repr(self). """
        pass

    def __reversed__(self, *args, **kwargs): # real signature unknown
        """ Return a reverse iterator. """
        pass

    start = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default

    step = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default

    stop = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default



class RecursionError(RuntimeError):
    """ Recursion limit exceeded. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class ReferenceError(Exception):
    """ Weak ref proxy used after referent went away. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class ResourceWarning(Warning):
    """ Base class for warnings about resource usage. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class reversed(object):
    """ Return a reverse iterator over the values of the given sequence. """
    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    def __iter__(self, *args, **kwargs): # real signature unknown
        """ Implement iter(self). """
        pass

    def __length_hint__(self, *args, **kwargs): # real signature unknown
        """ Private method returning an estimate of len(list(it)). """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __next__(self, *args, **kwargs): # real signature unknown
        """ Implement next(self). """
        pass

    def __reduce__(self, *args, **kwargs): # real signature unknown
        """ Return state information for pickling. """
        pass

    def __setstate__(self, *args, **kwargs): # real signature unknown
        """ Set state information for unpickling. """
        pass


class RuntimeWarning(Warning):
    """ Base class for warnings about dubious runtime behavior. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class set(object):
    """
    set() -> new empty set object
    set(iterable) -> new set object
    
    Build an unordered collection of unique elements.
    """
    def add(self, *args, **kwargs): # real signature unknown
        """
        Add an element to a set.
        
        This has no effect if the element is already present.
        """
        pass

    def clear(self, *args, **kwargs): # real signature unknown
        """ Remove all elements from this set. """
        pass

    def copy(self, *args, **kwargs): # real signature unknown
        """ Return a shallow copy of a set. """
        pass

    def difference(self, *args, **kwargs): # real signature unknown
        """
        Return the difference of two or more sets as a new set.
        
        (i.e. all elements that are in this set but not the others.)
        """
        pass

    def difference_update(self, *args, **kwargs): # real signature unknown
        """ Remove all elements of another set from this set. """
        pass

    def discard(self, *args, **kwargs): # real signature unknown
        """
        Remove an element from a set if it is a member.
        
        If the element is not a member, do nothing.
        """
        pass

    def intersection(self, *args, **kwargs): # real signature unknown
        """
        Return the intersection of two sets as a new set.
        
        (i.e. all elements that are in both sets.)
        """
        pass

    def intersection_update(self, *args, **kwargs): # real signature unknown
        """ Update a set with the intersection of itself and another. """
        pass

    def isdisjoint(self, *args, **kwargs): # real signature unknown
        """ Return True if two sets have a null intersection. """
        pass

    def issubset(self, *args, **kwargs): # real signature unknown
        """ Report whether another set contains this set. """
        pass

    def issuperset(self, *args, **kwargs): # real signature unknown
        """ Report whether this set contains another set. """
        pass

    def pop(self, *args, **kwargs): # real signature unknown
        """
        Remove and return an arbitrary set element.
        Raises KeyError if the set is empty.
        """
        pass

    def remove(self, *args, **kwargs): # real signature unknown
        """
        Remove an element from a set; it must be a member.
        
        If the element is not a member, raise a KeyError.
        """
        pass

    def symmetric_difference(self, *args, **kwargs): # real signature unknown
        """
        Return the symmetric difference of two sets as a new set.
        
        (i.e. all elements that are in exactly one of the sets.)
        """
        pass

    def symmetric_difference_update(self, *args, **kwargs): # real signature unknown
        """ Update a set with the symmetric difference of itself and another. """
        pass

    def union(self, *args, **kwargs): # real signature unknown
        """
        Return the union of sets as a new set.
        
        (i.e. all elements that are in either set.)
        """
        pass

    def update(self, *args, **kwargs): # real signature unknown
        """ Update a set with the union of itself and others. """
        pass

    def __and__(self, *args, **kwargs): # real signature unknown
        """ Return self&value. """
        pass

    def __contains__(self, y): # real signature unknown; restored from __doc__
        """ x.__contains__(y) <==> y in x. """
        pass

    def __eq__(self, *args, **kwargs): # real signature unknown
        """ Return self==value. """
        pass

    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __ge__(self, *args, **kwargs): # real signature unknown
        """ Return self>=value. """
        pass

    def __gt__(self, *args, **kwargs): # real signature unknown
        """ Return self>value. """
        pass

    def __iand__(self, *args, **kwargs): # real signature unknown
        """ Return self&=value. """
        pass

    def __init__(self, seq=()): # known special case of set.__init__
        """
        set() -> new empty set object
        set(iterable) -> new set object
        
        Build an unordered collection of unique elements.
        # (copied from class doc)
        """
        pass

    def __ior__(self, *args, **kwargs): # real signature unknown
        """ Return self|=value. """
        pass

    def __isub__(self, *args, **kwargs): # real signature unknown
        """ Return self-=value. """
        pass

    def __iter__(self, *args, **kwargs): # real signature unknown
        """ Implement iter(self). """
        pass

    def __ixor__(self, *args, **kwargs): # real signature unknown
        """ Return self^=value. """
        pass

    def __len__(self, *args, **kwargs): # real signature unknown
        """ Return len(self). """
        pass

    def __le__(self, *args, **kwargs): # real signature unknown
        """ Return self<=value. """
        pass

    def __lt__(self, *args, **kwargs): # real signature unknown
        """ Return self<value. """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __ne__(self, *args, **kwargs): # real signature unknown
        """ Return self!=value. """
        pass

    def __or__(self, *args, **kwargs): # real signature unknown
        """ Return self|value. """
        pass

    def __rand__(self, *args, **kwargs): # real signature unknown
        """ Return value&self. """
        pass

    def __reduce__(self, *args, **kwargs): # real signature unknown
        """ Return state information for pickling. """
        pass

    def __repr__(self, *args, **kwargs): # real signature unknown
        """ Return repr(self). """
        pass

    def __ror__(self, *args, **kwargs): # real signature unknown
        """ Return value|self. """
        pass

    def __rsub__(self, *args, **kwargs): # real signature unknown
        """ Return value-self. """
        pass

    def __rxor__(self, *args, **kwargs): # real signature unknown
        """ Return value^self. """
        pass

    def __sizeof__(self): # real signature unknown; restored from __doc__
        """ S.__sizeof__() -> size of S in memory, in bytes """
        pass

    def __sub__(self, *args, **kwargs): # real signature unknown
        """ Return self-value. """
        pass

    def __xor__(self, *args, **kwargs): # real signature unknown
        """ Return self^value. """
        pass

    __hash__ = None


class slice(object):
    """
    slice(stop)
    slice(start, stop[, step])
    
    Create a slice object.  This is used for extended slicing (e.g. a[0:10:2]).
    """
    def indices(self, len): # real signature unknown; restored from __doc__
        """
        S.indices(len) -> (start, stop, stride)
        
        Assuming a sequence of length len, calculate the start and stop
        indices, and the stride length of the extended slice described by
        S. Out of bounds indices are clipped in a manner consistent with the
        handling of normal slices.
        """
        pass

    def __eq__(self, *args, **kwargs): # real signature unknown
        """ Return self==value. """
        pass

    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __ge__(self, *args, **kwargs): # real signature unknown
        """ Return self>=value. """
        pass

    def __gt__(self, *args, **kwargs): # real signature unknown
        """ Return self>value. """
        pass

    def __init__(self, stop): # real signature unknown; restored from __doc__
        pass

    def __le__(self, *args, **kwargs): # real signature unknown
        """ Return self<=value. """
        pass

    def __lt__(self, *args, **kwargs): # real signature unknown
        """ Return self<value. """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __ne__(self, *args, **kwargs): # real signature unknown
        """ Return self!=value. """
        pass

    def __reduce__(self, *args, **kwargs): # real signature unknown
        """ Return state information for pickling. """
        pass

    def __repr__(self, *args, **kwargs): # real signature unknown
        """ Return repr(self). """
        pass

    start = property(lambda self: 0)
    """:type: int"""

    step = property(lambda self: 0)
    """:type: int"""

    stop = property(lambda self: 0)
    """:type: int"""


    __hash__ = None


class staticmethod(object):
    """
    staticmethod(function) -> method
    
    Convert a function to be a static method.
    
    A static method does not receive an implicit first argument.
    To declare a static method, use this idiom:
    
         class C:
             @staticmethod
             def f(arg1, arg2, ...):
                 ...
    
    It can be called either on the class (e.g. C.f()) or on an instance
    (e.g. C().f()). Both the class and the instance are ignored, and
    neither is passed implicitly as the first argument to the method.
    
    Static methods in Python are similar to those found in Java or C++.
    For a more advanced concept, see the classmethod builtin.
    """
    def __get__(self, *args, **kwargs): # real signature unknown
        """ Return an attribute of instance, which is of type owner. """
        pass

    def __init__(self, function): # real signature unknown; restored from __doc__
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    __func__ = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default

    __isabstractmethod__ = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default


    __dict__ = None # (!) real value is "mappingproxy({'__get__': <slot wrapper '__get__' of 'staticmethod' objects>, '__init__': <slot wrapper '__init__' of 'staticmethod' objects>, '__new__': <built-in method __new__ of type object at 0x1063d0c68>, '__func__': <member '__func__' of 'staticmethod' objects>, '__isabstractmethod__': <attribute '__isabstractmethod__' of 'staticmethod' objects>, '__dict__': <attribute '__dict__' of 'staticmethod' objects>, '__doc__': 'staticmethod(function) -> method\\n\\nConvert a function to be a static method.\\n\\nA static method does not receive an implicit first argument.\\nTo declare a static method, use this idiom:\\n\\n     class C:\\n         @staticmethod\\n         def f(arg1, arg2, ...):\\n             ...\\n\\nIt can be called either on the class (e.g. C.f()) or on an instance\\n(e.g. C().f()). Both the class and the instance are ignored, and\\nneither is passed implicitly as the first argument to the method.\\n\\nStatic methods in Python are similar to those found in Java or C++.\\nFor a more advanced concept, see the classmethod builtin.'})"


class StopAsyncIteration(Exception):
    """ Signal the end from iterator.__anext__(). """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class StopIteration(Exception):
    """ Signal the end from iterator.__next__(). """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    value = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """generator return value"""



class str(object):
    """
    str(object='') -> str
    str(bytes_or_buffer[, encoding[, errors]]) -> str
    
    Create a new string object from the given object. If encoding or
    errors is specified, then the object must expose a data buffer
    that will be decoded using the given encoding and error handler.
    Otherwise, returns the result of object.__str__() (if defined)
    or repr(object).
    encoding defaults to sys.getdefaultencoding().
    errors defaults to 'strict'.
    """
    def capitalize(self, *args, **kwargs): # real signature unknown
        """
        Return a capitalized version of the string.
        
        More specifically, make the first character have upper case and the rest lower
        case.
        """
        pass

    def casefold(self, *args, **kwargs): # real signature unknown
        """ Return a version of the string suitable for caseless comparisons. """
        pass

    def center(self, *args, **kwargs): # real signature unknown
        """
        Return a centered string of length width.
        
        Padding is done using the specified fill character (default is a space).
        """
        pass

    def count(self, sub, start=None, end=None): # real signature unknown; restored from __doc__
        """
        S.count(sub[, start[, end]]) -> int
        
        Return the number of non-overlapping occurrences of substring sub in
        string S[start:end].  Optional arguments start and end are
        interpreted as in slice notation.
        """
        return 0

    def encode(self, *args, **kwargs): # real signature unknown
        """
        Encode the string using the codec registered for encoding.
        
          encoding
            The encoding in which to encode the string.
          errors
            The error handling scheme to use for encoding errors.
            The default is 'strict' meaning that encoding errors raise a
            UnicodeEncodeError.  Other possible values are 'ignore', 'replace' and
            'xmlcharrefreplace' as well as any other name registered with
            codecs.register_error that can handle UnicodeEncodeErrors.
        """
        pass

    def endswith(self, suffix, start=None, end=None): # real signature unknown; restored from __doc__
        """
        S.endswith(suffix[, start[, end]]) -> bool
        
        Return True if S ends with the specified suffix, False otherwise.
        With optional start, test S beginning at that position.
        With optional end, stop comparing S at that position.
        suffix can also be a tuple of strings to try.
        """
        return False

    def expandtabs(self, *args, **kwargs): # real signature unknown
        """
        Return a copy where all tab characters are expanded using spaces.
        
        If tabsize is not given, a tab size of 8 characters is assumed.
        """
        pass

    def find(self, sub, start=None, end=None): # real signature unknown; restored from __doc__
        """
        S.find(sub[, start[, end]]) -> int
        
        Return the lowest index in S where substring sub is found,
        such that sub is contained within S[start:end].  Optional
        arguments start and end are interpreted as in slice notation.
        
        Return -1 on failure.
        """
        return 0

    def format(self, *args, **kwargs): # known special case of str.format
        """
        S.format(*args, **kwargs) -> str
        
        Return a formatted version of S, using substitutions from args and kwargs.
        The substitutions are identified by braces ('{' and '}').
        """
        pass

    def format_map(self, mapping): # real signature unknown; restored from __doc__
        """
        S.format_map(mapping) -> str
        
        Return a formatted version of S, using substitutions from mapping.
        The substitutions are identified by braces ('{' and '}').
        """
        return ""

    def index(self, sub, start=None, end=None): # real signature unknown; restored from __doc__
        """
        S.index(sub[, start[, end]]) -> int
        
        Return the lowest index in S where substring sub is found,
        such that sub is contained within S[start:end].  Optional
        arguments start and end are interpreted as in slice notation.
        
        Raises ValueError when the substring is not found.
        """
        return 0

    def isalnum(self, *args, **kwargs): # real signature unknown
        """
        Return True if the string is an alpha-numeric string, False otherwise.
        
        A string is alpha-numeric if all characters in the string are alpha-numeric and
        there is at least one character in the string.
        """
        pass

    def isalpha(self, *args, **kwargs): # real signature unknown
        """
        Return True if the string is an alphabetic string, False otherwise.
        
        A string is alphabetic if all characters in the string are alphabetic and there
        is at least one character in the string.
        """
        pass

    def isascii(self, *args, **kwargs): # real signature unknown
        """
        Return True if all characters in the string are ASCII, False otherwise.
        
        ASCII characters have code points in the range U+0000-U+007F.
        Empty string is ASCII too.
        """
        pass

    def isdecimal(self, *args, **kwargs): # real signature unknown
        """
        Return True if the string is a decimal string, False otherwise.
        
        A string is a decimal string if all characters in the string are decimal and
        there is at least one character in the string.
        """
        pass

    def isdigit(self, *args, **kwargs): # real signature unknown
        """
        Return True if the string is a digit string, False otherwise.
        
        A string is a digit string if all characters in the string are digits and there
        is at least one character in the string.
        """
        pass

    def isidentifier(self, *args, **kwargs): # real signature unknown
        """
        Return True if the string is a valid Python identifier, False otherwise.
        
        Call keyword.iskeyword(s) to test whether string s is a reserved identifier,
        such as "def" or "class".
        """
        pass

    def islower(self, *args, **kwargs): # real signature unknown
        """
        Return True if the string is a lowercase string, False otherwise.
        
        A string is lowercase if all cased characters in the string are lowercase and
        there is at least one cased character in the string.
        """
        pass

    def isnumeric(self, *args, **kwargs): # real signature unknown
        """
        Return True if the string is a numeric string, False otherwise.
        
        A string is numeric if all characters in the string are numeric and there is at
        least one character in the string.
        """
        pass

    def isprintable(self, *args, **kwargs): # real signature unknown
        """
        Return True if the string is printable, False otherwise.
        
        A string is printable if all of its characters are considered printable in
        repr() or if it is empty.
        """
        pass

    def isspace(self, *args, **kwargs): # real signature unknown
        """
        Return True if the string is a whitespace string, False otherwise.
        
        A string is whitespace if all characters in the string are whitespace and there
        is at least one character in the string.
        """
        pass

    def istitle(self, *args, **kwargs): # real signature unknown
        """
        Return True if the string is a title-cased string, False otherwise.
        
        In a title-cased string, upper- and title-case characters may only
        follow uncased characters and lowercase characters only cased ones.
        """
        pass

    def isupper(self, *args, **kwargs): # real signature unknown
        """
        Return True if the string is an uppercase string, False otherwise.
        
        A string is uppercase if all cased characters in the string are uppercase and
        there is at least one cased character in the string.
        """
        pass

    def join(self, ab=None, pq=None, rs=None): # real signature unknown; restored from __doc__
        """
        Concatenate any number of strings.
        
        The string whose method is called is inserted in between each given string.
        The result is returned as a new string.
        
        Example: '.'.join(['ab', 'pq', 'rs']) -> 'ab.pq.rs'
        """
        pass

    def ljust(self, *args, **kwargs): # real signature unknown
        """
        Return a left-justified string of length width.
        
        Padding is done using the specified fill character (default is a space).
        """
        pass

    def lower(self, *args, **kwargs): # real signature unknown
        """ Return a copy of the string converted to lowercase. """
        pass

    def lstrip(self, *args, **kwargs): # real signature unknown
        """
        Return a copy of the string with leading whitespace removed.
        
        If chars is given and not None, remove characters in chars instead.
        """
        pass

    def maketrans(self, *args, **kwargs): # real signature unknown
        """
        Return a translation table usable for str.translate().
        
        If there is only one argument, it must be a dictionary mapping Unicode
        ordinals (integers) or characters to Unicode ordinals, strings or None.
        Character keys will be then converted to ordinals.
        If there are two arguments, they must be strings of equal length, and
        in the resulting dictionary, each character in x will be mapped to the
        character at the same position in y. If there is a third argument, it
        must be a string, whose characters will be mapped to None in the result.
        """
        pass

    def partition(self, *args, **kwargs): # real signature unknown
        """
        Partition the string into three parts using the given separator.
        
        This will search for the separator in the string.  If the separator is found,
        returns a 3-tuple containing the part before the separator, the separator
        itself, and the part after it.
        
        If the separator is not found, returns a 3-tuple containing the original string
        and two empty strings.
        """
        pass

    def replace(self, *args, **kwargs): # real signature unknown
        """
        Return a copy with all occurrences of substring old replaced by new.
        
          count
            Maximum number of occurrences to replace.
            -1 (the default value) means replace all occurrences.
        
        If the optional argument count is given, only the first count occurrences are
        replaced.
        """
        pass

    def rfind(self, sub, start=None, end=None): # real signature unknown; restored from __doc__
        """
        S.rfind(sub[, start[, end]]) -> int
        
        Return the highest index in S where substring sub is found,
        such that sub is contained within S[start:end].  Optional
        arguments start and end are interpreted as in slice notation.
        
        Return -1 on failure.
        """
        return 0

    def rindex(self, sub, start=None, end=None): # real signature unknown; restored from __doc__
        """
        S.rindex(sub[, start[, end]]) -> int
        
        Return the highest index in S where substring sub is found,
        such that sub is contained within S[start:end].  Optional
        arguments start and end are interpreted as in slice notation.
        
        Raises ValueError when the substring is not found.
        """
        return 0

    def rjust(self, *args, **kwargs): # real signature unknown
        """
        Return a right-justified string of length width.
        
        Padding is done using the specified fill character (default is a space).
        """
        pass

    def rpartition(self, *args, **kwargs): # real signature unknown
        """
        Partition the string into three parts using the given separator.
        
        This will search for the separator in the string, starting at the end. If
        the separator is found, returns a 3-tuple containing the part before the
        separator, the separator itself, and the part after it.
        
        If the separator is not found, returns a 3-tuple containing two empty strings
        and the original string.
        """
        pass

    def rsplit(self, *args, **kwargs): # real signature unknown
        """
        Return a list of the words in the string, using sep as the delimiter string.
        
          sep
            The delimiter according which to split the string.
            None (the default value) means split according to any whitespace,
            and discard empty strings from the result.
          maxsplit
            Maximum number of splits to do.
            -1 (the default value) means no limit.
        
        Splits are done starting at the end of the string and working to the front.
        """
        pass

    def rstrip(self, *args, **kwargs): # real signature unknown
        """
        Return a copy of the string with trailing whitespace removed.
        
        If chars is given and not None, remove characters in chars instead.
        """
        pass

    def split(self, *args, **kwargs): # real signature unknown
        """
        Return a list of the words in the string, using sep as the delimiter string.
        
          sep
            The delimiter according which to split the string.
            None (the default value) means split according to any whitespace,
            and discard empty strings from the result.
          maxsplit
            Maximum number of splits to do.
            -1 (the default value) means no limit.
        """
        pass

    def splitlines(self, *args, **kwargs): # real signature unknown
        """
        Return a list of the lines in the string, breaking at line boundaries.
        
        Line breaks are not included in the resulting list unless keepends is given and
        true.
        """
        pass

    def startswith(self, prefix, start=None, end=None): # real signature unknown; restored from __doc__
        """
        S.startswith(prefix[, start[, end]]) -> bool
        
        Return True if S starts with the specified prefix, False otherwise.
        With optional start, test S beginning at that position.
        With optional end, stop comparing S at that position.
        prefix can also be a tuple of strings to try.
        """
        return False

    def strip(self, *args, **kwargs): # real signature unknown
        """
        Return a copy of the string with leading and trailing whitespace removed.
        
        If chars is given and not None, remove characters in chars instead.
        """
        pass

    def swapcase(self, *args, **kwargs): # real signature unknown
        """ Convert uppercase characters to lowercase and lowercase characters to uppercase. """
        pass

    def title(self, *args, **kwargs): # real signature unknown
        """
        Return a version of the string where each word is titlecased.
        
        More specifically, words start with uppercased characters and all remaining
        cased characters have lower case.
        """
        pass

    def translate(self, *args, **kwargs): # real signature unknown
        """
        Replace each character in the string using the given translation table.
        
          table
            Translation table, which must be a mapping of Unicode ordinals to
            Unicode ordinals, strings, or None.
        
        The table must implement lookup/indexing via __getitem__, for instance a
        dictionary or list.  If this operation raises LookupError, the character is
        left untouched.  Characters mapped to None are deleted.
        """
        pass

    def upper(self, *args, **kwargs): # real signature unknown
        """ Return a copy of the string converted to uppercase. """
        pass

    def zfill(self, *args, **kwargs): # real signature unknown
        """
        Pad a numeric string with zeros on the left, to fill a field of the given width.
        
        The string is never truncated.
        """
        pass

    def __add__(self, *args, **kwargs): # real signature unknown
        """ Return self+value. """
        pass

    def __contains__(self, *args, **kwargs): # real signature unknown
        """ Return key in self. """
        pass

    def __eq__(self, *args, **kwargs): # real signature unknown
        """ Return self==value. """
        pass

    def __format__(self, *args, **kwargs): # real signature unknown
        """ Return a formatted version of the string as described by format_spec. """
        pass

    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __getitem__(self, *args, **kwargs): # real signature unknown
        """ Return self[key]. """
        pass

    def __getnewargs__(self, *args, **kwargs): # real signature unknown
        pass

    def __ge__(self, *args, **kwargs): # real signature unknown
        """ Return self>=value. """
        pass

    def __gt__(self, *args, **kwargs): # real signature unknown
        """ Return self>value. """
        pass

    def __hash__(self, *args, **kwargs): # real signature unknown
        """ Return hash(self). """
        pass

    def __init__(self, value='', encoding=None, errors='strict'): # known special case of str.__init__
        """
        str(object='') -> str
        str(bytes_or_buffer[, encoding[, errors]]) -> str
        
        Create a new string object from the given object. If encoding or
        errors is specified, then the object must expose a data buffer
        that will be decoded using the given encoding and error handler.
        Otherwise, returns the result of object.__str__() (if defined)
        or repr(object).
        encoding defaults to sys.getdefaultencoding().
        errors defaults to 'strict'.
        # (copied from class doc)
        """
        pass

    def __iter__(self, *args, **kwargs): # real signature unknown
        """ Implement iter(self). """
        pass

    def __len__(self, *args, **kwargs): # real signature unknown
        """ Return len(self). """
        pass

    def __le__(self, *args, **kwargs): # real signature unknown
        """ Return self<=value. """
        pass

    def __lt__(self, *args, **kwargs): # real signature unknown
        """ Return self<value. """
        pass

    def __mod__(self, *args, **kwargs): # real signature unknown
        """ Return self%value. """
        pass

    def __mul__(self, *args, **kwargs): # real signature unknown
        """ Return self*value. """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __ne__(self, *args, **kwargs): # real signature unknown
        """ Return self!=value. """
        pass

    def __repr__(self, *args, **kwargs): # real signature unknown
        """ Return repr(self). """
        pass

    def __rmod__(self, *args, **kwargs): # real signature unknown
        """ Return value%self. """
        pass

    def __rmul__(self, *args, **kwargs): # real signature unknown
        """ Return value*self. """
        pass

    def __sizeof__(self, *args, **kwargs): # real signature unknown
        """ Return the size of the string in memory, in bytes. """
        pass

    def __str__(self, *args, **kwargs): # real signature unknown
        """ Return str(self). """
        pass


class super(object):
    """
    super() -> same as super(__class__, <first argument>)
    super(type) -> unbound super object
    super(type, obj) -> bound super object; requires isinstance(obj, type)
    super(type, type2) -> bound super object; requires issubclass(type2, type)
    Typical use to call a cooperative superclass method:
    class C(B):
        def meth(self, arg):
            super().meth(arg)
    This works for class methods too:
    class C(B):
        @classmethod
        def cmeth(cls, arg):
            super().cmeth(arg)
    """
    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __get__(self, *args, **kwargs): # real signature unknown
        """ Return an attribute of instance, which is of type owner. """
        pass

    def __init__(self, type1=None, type2=None): # known special case of super.__init__
        """
        super() -> same as super(__class__, <first argument>)
        super(type) -> unbound super object
        super(type, obj) -> bound super object; requires isinstance(obj, type)
        super(type, type2) -> bound super object; requires issubclass(type2, type)
        Typical use to call a cooperative superclass method:
        class C(B):
            def meth(self, arg):
                super().meth(arg)
        This works for class methods too:
        class C(B):
            @classmethod
            def cmeth(cls, arg):
                super().cmeth(arg)
        
        # (copied from class doc)
        """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __repr__(self, *args, **kwargs): # real signature unknown
        """ Return repr(self). """
        pass

    __self_class__ = property(lambda self: type(object))
    """the type of the instance invoking super(); may be None

    :type: type
    """

    __self__ = property(lambda self: type(object))
    """the instance invoking super(); may be None

    :type: type
    """

    __thisclass__ = property(lambda self: type(object))
    """the class invoking super()

    :type: type
    """



class SyntaxWarning(Warning):
    """ Base class for warnings about dubious syntax. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class SystemError(Exception):
    """
    Internal error in the Python interpreter.
    
    Please report this to the Python maintainer, along with the traceback,
    the Python version, and the hardware/OS platform and version.
    """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class SystemExit(BaseException):
    """ Request to exit from the interpreter. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    code = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception code"""



class TabError(IndentationError):
    """ Improper mixture of spaces and tabs. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass


class TimeoutError(OSError):
    """ Timeout expired. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass


class tuple(object):
    """
    Built-in immutable sequence.
    
    If no argument is given, the constructor returns an empty tuple.
    If iterable is specified the tuple is initialized from iterable's items.
    
    If the argument is a tuple, the return value is the same object.
    """
    def count(self, *args, **kwargs): # real signature unknown
        """ Return number of occurrences of value. """
        pass

    def index(self, *args, **kwargs): # real signature unknown
        """
        Return first index of value.
        
        Raises ValueError if the value is not present.
        """
        pass

    def __add__(self, *args, **kwargs): # real signature unknown
        """ Return self+value. """
        pass

    def __contains__(self, *args, **kwargs): # real signature unknown
        """ Return key in self. """
        pass

    def __eq__(self, *args, **kwargs): # real signature unknown
        """ Return self==value. """
        pass

    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __getitem__(self, *args, **kwargs): # real signature unknown
        """ Return self[key]. """
        pass

    def __getnewargs__(self, *args, **kwargs): # real signature unknown
        pass

    def __ge__(self, *args, **kwargs): # real signature unknown
        """ Return self>=value. """
        pass

    def __gt__(self, *args, **kwargs): # real signature unknown
        """ Return self>value. """
        pass

    def __hash__(self, *args, **kwargs): # real signature unknown
        """ Return hash(self). """
        pass

    def __init__(self, seq=()): # known special case of tuple.__init__
        """
        Built-in immutable sequence.
        
        If no argument is given, the constructor returns an empty tuple.
        If iterable is specified the tuple is initialized from iterable's items.
        
        If the argument is a tuple, the return value is the same object.
        # (copied from class doc)
        """
        pass

    def __iter__(self, *args, **kwargs): # real signature unknown
        """ Implement iter(self). """
        pass

    def __len__(self, *args, **kwargs): # real signature unknown
        """ Return len(self). """
        pass

    def __le__(self, *args, **kwargs): # real signature unknown
        """ Return self<=value. """
        pass

    def __lt__(self, *args, **kwargs): # real signature unknown
        """ Return self<value. """
        pass

    def __mul__(self, *args, **kwargs): # real signature unknown
        """ Return self*value. """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __ne__(self, *args, **kwargs): # real signature unknown
        """ Return self!=value. """
        pass

    def __repr__(self, *args, **kwargs): # real signature unknown
        """ Return repr(self). """
        pass

    def __rmul__(self, *args, **kwargs): # real signature unknown
        """ Return value*self. """
        pass


class type(object):
    """
    type(object_or_name, bases, dict)
    type(object) -> the object's type
    type(name, bases, dict) -> a new type
    """
    def mro(self, *args, **kwargs): # real signature unknown
        """ Return a type's method resolution order. """
        pass

    def __call__(self, *args, **kwargs): # real signature unknown
        """ Call self as a function. """
        pass

    def __delattr__(self, *args, **kwargs): # real signature unknown
        """ Implement delattr(self, name). """
        pass

    def __dir__(self, *args, **kwargs): # real signature unknown
        """ Specialized __dir__ implementation for types. """
        pass

    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __init__(cls, what, bases=None, dict=None): # known special case of type.__init__
        """
        type(object_or_name, bases, dict)
        type(object) -> the object's type
        type(name, bases, dict) -> a new type
        # (copied from class doc)
        """
        pass

    def __instancecheck__(self, *args, **kwargs): # real signature unknown
        """ Check if an object is an instance. """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __prepare__(self): # real signature unknown; restored from __doc__
        """
        __prepare__() -> dict
        used to create the namespace for the class statement
        """
        return {}

    def __repr__(self, *args, **kwargs): # real signature unknown
        """ Return repr(self). """
        pass

    def __setattr__(self, *args, **kwargs): # real signature unknown
        """ Implement setattr(self, name, value). """
        pass

    def __sizeof__(self, *args, **kwargs): # real signature unknown
        """ Return memory consumption of the type object. """
        pass

    def __subclasscheck__(self, *args, **kwargs): # real signature unknown
        """ Check if a class is a subclass. """
        pass

    def __subclasses__(self, *args, **kwargs): # real signature unknown
        """ Return a list of immediate subclasses. """
        pass

    __abstractmethods__ = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default


    __bases__ = (
        object,
    )
    __base__ = object
    __basicsize__ = 880
    __dictoffset__ = 264
    __dict__ = None # (!) real value is "mappingproxy({'__repr__': <slot wrapper '__repr__' of 'type' objects>, '__call__': <slot wrapper '__call__' of 'type' objects>, '__getattribute__': <slot wrapper '__getattribute__' of 'type' objects>, '__setattr__': <slot wrapper '__setattr__' of 'type' objects>, '__delattr__': <slot wrapper '__delattr__' of 'type' objects>, '__init__': <slot wrapper '__init__' of 'type' objects>, '__new__': <built-in method __new__ of type object at 0x1063d8920>, 'mro': <method 'mro' of 'type' objects>, '__subclasses__': <method '__subclasses__' of 'type' objects>, '__prepare__': <method '__prepare__' of 'type' objects>, '__instancecheck__': <method '__instancecheck__' of 'type' objects>, '__subclasscheck__': <method '__subclasscheck__' of 'type' objects>, '__dir__': <method '__dir__' of 'type' objects>, '__sizeof__': <method '__sizeof__' of 'type' objects>, '__basicsize__': <member '__basicsize__' of 'type' objects>, '__itemsize__': <member '__itemsize__' of 'type' objects>, '__flags__': <member '__flags__' of 'type' objects>, '__weakrefoffset__': <member '__weakrefoffset__' of 'type' objects>, '__base__': <member '__base__' of 'type' objects>, '__dictoffset__': <member '__dictoffset__' of 'type' objects>, '__mro__': <member '__mro__' of 'type' objects>, '__name__': <attribute '__name__' of 'type' objects>, '__qualname__': <attribute '__qualname__' of 'type' objects>, '__bases__': <attribute '__bases__' of 'type' objects>, '__module__': <attribute '__module__' of 'type' objects>, '__abstractmethods__': <attribute '__abstractmethods__' of 'type' objects>, '__dict__': <attribute '__dict__' of 'type' objects>, '__doc__': <attribute '__doc__' of 'type' objects>, '__text_signature__': <attribute '__text_signature__' of 'type' objects>})"
    __flags__ = 2148291584
    __itemsize__ = 40
    __mro__ = (
        None, # (!) forward: type, real value is "<class 'type'>"
        object,
    )
    __name__ = 'type'
    __qualname__ = 'type'
    __text_signature__ = None
    __weakrefoffset__ = 368


class TypeError(Exception):
    """ Inappropriate argument type. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class UnboundLocalError(NameError):
    """ Local name referenced but not bound to a value. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class ValueError(Exception):
    """ Inappropriate argument value (of correct type). """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class UnicodeError(ValueError):
    """ Unicode related error. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class UnicodeDecodeError(UnicodeError):
    """ Unicode decoding error. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __str__(self, *args, **kwargs): # real signature unknown
        """ Return str(self). """
        pass

    encoding = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception encoding"""

    end = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception end"""

    object = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception object"""

    reason = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception reason"""

    start = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception start"""



class UnicodeEncodeError(UnicodeError):
    """ Unicode encoding error. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __str__(self, *args, **kwargs): # real signature unknown
        """ Return str(self). """
        pass

    encoding = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception encoding"""

    end = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception end"""

    object = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception object"""

    reason = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception reason"""

    start = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception start"""



class UnicodeTranslateError(UnicodeError):
    """ Unicode translation error. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __str__(self, *args, **kwargs): # real signature unknown
        """ Return str(self). """
        pass

    encoding = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception encoding"""

    end = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception end"""

    object = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception object"""

    reason = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception reason"""

    start = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """exception start"""



class UnicodeWarning(Warning):
    """
    Base class for warnings about Unicode related problems, mostly
    related to conversion problems.
    """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class UserWarning(Warning):
    """ Base class for warnings generated by user code. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class ZeroDivisionError(ArithmeticError):
    """ Second argument to a division or modulo operation was zero. """
    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass


class zip(object):
    """
    zip(*iterables) --> zip object
    
    Return a zip object whose .__next__() method returns a tuple where
    the i-th element comes from the i-th iterable argument.  The .__next__()
    method continues until the shortest iterable in the argument sequence
    is exhausted and then it raises StopIteration.
    """
    def __getattribute__(self, *args, **kwargs): # real signature unknown
        """ Return getattr(self, name). """
        pass

    def __init__(self, *iterables): # real signature unknown; restored from __doc__
        pass

    def __iter__(self, *args, **kwargs): # real signature unknown
        """ Implement iter(self). """
        pass

    @staticmethod # known case of __new__
    def __new__(*args, **kwargs): # real signature unknown
        """ Create and return a new object.  See help(type) for accurate signature. """
        pass

    def __next__(self, *args, **kwargs): # real signature unknown
        """ Implement next(self). """
        pass

    def __reduce__(self, *args, **kwargs): # real signature unknown
        """ Return state information for pickling. """
        pass


class __loader__(object):
    """
    Meta path import for built-in modules.
    
        All methods are either class or static methods to avoid the need to
        instantiate the class.
    """
    def create_module(self, *args, **kwargs): # real signature unknown
        """ Create a built-in module """
        pass

    def exec_module(self, *args, **kwargs): # real signature unknown
        """ Exec a built-in module """
        pass

    def find_module(self, *args, **kwargs): # real signature unknown
        """
        Find the built-in module.
        
                If 'path' is ever specified then the search is considered a failure.
        
                This method is deprecated.  Use find_spec() instead.
        """
        pass

    def find_spec(self, *args, **kwargs): # real signature unknown
        pass

    def get_code(self, *args, **kwargs): # real signature unknown
        """ Return None as built-in modules do not have code objects. """
        pass

    def get_source(self, *args, **kwargs): # real signature unknown
        """ Return None as built-in modules do not have source code. """
        pass

    def is_package(self, *args, **kwargs): # real signature unknown
        """ Return False as built-in modules are never packages. """
        pass

    def load_module(self, *args, **kwargs): # real signature unknown
        """
        Load the specified module into sys.modules and return it.
        
            This method is deprecated.  Use loader.exec_module instead.
        """
        pass

    def module_repr(module): # reliably restored by inspect
        """
        Return repr for the module.
        
                The method is deprecated.  The import machinery does the job itself.
        """
        pass

    def __init__(self, *args, **kwargs): # real signature unknown
        pass

    __weakref__ = property(lambda self: object(), lambda self, v: None, lambda self: None)  # default
    """list of weak references to the object (if defined)"""


    __dict__ = None # (!) real value is "mappingproxy({'__module__': '_frozen_importlib', '__doc__': 'Meta path import for built-in modules.\\n\\n    All methods are either class or static methods to avoid the need to\\n    instantiate the class.\\n\\n    ', 'module_repr': <staticmethod object at 0x106579430>, 'find_spec': <classmethod object at 0x106579460>, 'find_module': <classmethod object at 0x106579490>, 'create_module': <classmethod object at 0x1065794c0>, 'exec_module': <classmethod object at 0x1065794f0>, 'get_code': <classmethod object at 0x106579580>, 'get_source': <classmethod object at 0x106579610>, 'is_package': <classmethod object at 0x1065796a0>, 'load_module': <classmethod object at 0x1065796d0>, '__dict__': <attribute '__dict__' of 'BuiltinImporter' objects>, '__weakref__': <attribute '__weakref__' of 'BuiltinImporter' objects>})"


# variables with complex values

Ellipsis = None # (!) real value is 'Ellipsis'

NotImplemented = None # (!) real value is 'NotImplemented'

__spec__ = None # (!) real value is "ModuleSpec(name='builtins', loader=<class '_frozen_importlib.BuiltinImporter'>)"