Blackjack is a wonderful game for coding sample algorithms to try out a new programming language, incidentally.
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For expert level / advanced coding, what game would you recommend coding an engine for? I guess chess would be a good start for advanced level algos, etc. -- Tree pruning, Monte Carlo (if going AI, etc.)
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Certain types of blackjack algorithms can vary from simple to medium complexity. Chess could blow up in complexity rather quickly, but a nice algorithm would be one to generate endgame tables. Basic algorithms for that should be of medium complexity.