I think a neat, but relatively simple problem, would be to create an reverse Polish notation calculator. It would take a line of input, like, 2 3 + 5 *, and display 25. You'd need to understand what reverse Polish notation is; you can look online, probably Wikipedia.
Or try playing with some other programming language(s), like Perl or Scheme or Ruby or Python or Io. Then you'll have some more time to think of some ideas
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