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I play the medium computer a lot. While the computer randomly selects its openings, once it gets out the opening, it will always make exactly the same moves given the same position. This has given me opportunity to completely perfect a few games against the machine in lines that it often plays. This is a mate that Computer2-Medium has fallen into against me many times, and it's one of my favorites:
I also have Computer4-Medium's approach to the two knights defense mostly memorized, but it's longer and far less beautiful :).