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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 paths_in_directory(input_directory):
 """ Generate a list of all files in input_directory, each as a list containing path components. """

    paths = []
    for base_path, directories, filenames in os.walk(input_directory):
        relative_path = os.path.relpath(base_path, input_directory)
        path_components = relative_path.split(os.sep)
        if path_components[0] == ".":
            path_components = path_components[1:]
        if path_components and path_components[0].startswith("."):
            # hidden dir
            continue
        path_components = filter(bool, path_components)  # remove empty components
        for filename in filenames:
            if filename.startswith("."):
                # hidden file
                continue
            paths.append(path_components + [filename])
    return paths