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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def profile(fn=None, skip=0, filename=None, immediate=False, dirs=False, sort=None, entries=40, profiler=('cProfile', 'profile', 'hotshot')):
 """Mark `fn` for profiling. If `skip` is > 0, first `skip` calls to `fn` will not be profiled. If `immediate` is False, profiling results will be printed to sys.stdout on program termination. Otherwise results will be printed after each call. If `dirs` is False only the name of the file will be printed. Otherwise the full path is used. `sort` can be a list of sort keys (defaulting to ['cumulative', 'time', 'calls']). The following ones are recognized:: 'calls' -- call count 'cumulative' -- cumulative time 'file' -- file name 'line' -- line number 'module' -- file name 'name' -- function name 'nfl' -- name/file/line 'pcalls' -- call count 'stdname' -- standard name 'time' -- internal time `entries` limits the output to the first N entries. `profiler` can be used to select the preferred profiler, or specify a sequence of them, in order of preference. The default is ('cProfile'. 'profile', 'hotshot'). If `filename` is specified, the profile stats will be stored in the named file. You can load them pstats.Stats(filename). Usage:: fn = profile(fn, skip=1) If you are using Python 2.4, you should be able to use the decorator syntax:: @profile(skip=3) or just :: @profile """

    if fn is None: # @profile() syntax -- we are a decorator maker
        def decorator(fn):
            return profile(fn, skip=skip, filename=filename,
                           immediate=immediate, dirs=dirs,
                           sort=sort, entries=entries,
                           profiler=profiler)
        return decorator
    # @profile syntax -- we are a decorator.
    if isinstance(profiler, str):
        profiler = [profiler]
    for p in profiler:
        if p in AVAILABLE_PROFILERS:
            profiler_class = AVAILABLE_PROFILERS[p]
            break
    else:
        raise ValueError('only these profilers are available: %s'
                             % ', '.join(AVAILABLE_PROFILERS))
    fp = profiler_class(fn, skip=skip, filename=filename,
                        immediate=immediate, dirs=dirs,
                        sort=sort, entries=entries)
    # fp = HotShotFuncProfile(fn, skip=skip, filename=filename, ...)
         # or HotShotFuncProfile
    # We cannot return fp or fp.__call__ directly as that would break method
    # definitions, instead we need to return a plain function.
    def new_fn(*args, **kw):
        return fp(*args, **kw)
    new_fn.__doc__ = fn.__doc__
    new_fn.__name__ = fn.__name__
    new_fn.__dict__ = fn.__dict__
    new_fn.__module__ = fn.__module__
    return new_fn