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An Algorithm for a Better Bookshelf

Drop in at a library, and you’ll likely notice that most shelves aren’t full—librarians leave some empty space on each shelf. That way, when they get new books, they can slot them into place without having to move too many other books. It’s a simple-enough idea, but one that arises in a host of settings in computer science that involve sorted data, such as an alphabetically ordered census repository, or a list of connections between members of a social network. In such situations, where the ent