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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 _path_insensitive(path):
 """ Recursive part of path_insensitive to do the work. """

    path = str(path)
    if path == '' or os.path.exists(path):
        return path

    base = os.path.basename(path)  # may be a directory or a file
    dirname = os.path.dirname(path)

    suffix = ''
    if not base:  # dir ends with a slash?
        if len(dirname) < len(path):
            suffix = path[:len(path) - len(dirname)]

        base = os.path.basename(dirname)
        dirname = os.path.dirname(dirname)

    if not os.path.exists(dirname):
        dirname = _path_insensitive(dirname)
        if not dirname:
            return

    # at this point, the directory exists but not the file

    try:  # we are expecting dirname to be a directory, but it could be a file
        files = os.listdir(dirname)
    except OSError:
        return

    baselow = base.lower()
    try:
        basefinal = next(fl for fl in files if fl.lower() == baselow)
    except StopIteration:
        return

    if basefinal:
        return os.path.join(dirname, basefinal) + suffix
    else:
        return