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Don't know if there's any other computer here (come on, there must be), but you could think of your layout as a fininte state machine, Chris. This is essentially what SpaceMouse is describing. If this is a simple enough layout, you can just do a table of all the various states for each switch and the voltage direction of each track segment. Then you just need to wire it all together with the right logic. In a sense you'd be building a computer, all be it a very specialized one.
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