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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 creation_ordered(class_to_decorate):
 """ Class decorator that ensures that instances will be ordered after creation order when sorted. :type class_to_decorate: class :rtype: class """


    next_index = functools.partial(next, itertools.count())

    __init__orig = class_to_decorate.__init__

    @functools.wraps(__init__orig, assigned=['__doc__'])
    def __init__(self, *args, **kwargs):
        object.__setattr__(self, '_index', next_index())
        __init__orig(self, *args, **kwargs)

    setattr(class_to_decorate, '__init__', __init__)

    # noinspection PyProtectedMember
    def __lt__(self, other):
        return self._index < other._index  # pragma: no mutate

    setattr(class_to_decorate, '__lt__', __lt__)

    class_to_decorate = functools.total_ordering(class_to_decorate)

    return class_to_decorate