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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 build_logger_tree():
 """ Build a DFS tree representing the logger layout. Adapted with much appreciation from: https://github.com/brandon-rhodes/logging_tree """

    cache = {}
    tree = make_logger_node("", root)
    for name, logger in sorted(root.manager.loggerDict.items()):
        if "." in name:
            parent_name = ".".join(name.split(".")[:-1])
            parent = cache[parent_name]
        else:
            parent = tree

        cache[name] = make_logger_node(name, logger, parent)
    return tree