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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 infer_bulk_complete_from_fs(datetimes, datetime_to_task, datetime_to_re):
 """ Efficiently determines missing datetimes by filesystem listing. The current implementation works for the common case of a task writing output to a ``FileSystemTarget`` whose path is built using strftime with ``exists()``. (Eventually Luigi could have ranges of completion as first-class citizens. Then this listing business could be factored away/be provided for explicitly in target API or some kind of a history server.) """

    filesystems_and_globs_by_location = _get_filesystems_and_globs(datetime_to_task, datetime_to_re)
    paths_by_datetime = [[o.path for o in flatten_output(datetime_to_task(d))] for d in datetimes]
    listing = set()
    for (f, g), p in zip(filesystems_and_globs_by_location, zip(*paths_by_datetime)):  # transposed, so here we're iterating over logical outputs, not datetimes
        listing |= _list_existing(f, g, p)

    # quickly learn everything that's missing
    missing_datetimes = []
    for d, p in zip(datetimes, paths_by_datetime):
        if not set(p) <= listing:
            missing_datetimes.append(d)

    return missing_datetimes