Create a program that will solve perfect information klondike solitaire, or Thoughtful Solitaire, solitaire with all the cards visible, as quickly (little CPU) as possible. The paper by Diaconis explores roll-outs. We need some good heuristics.
For regular (face down cards) solitaire, but with a user interface that allows Undo or Restart Same Game, one can, by trial and error, learn the values of the hidden cards. Create a program that tries to solve solitaire in as few average operations (including Undo) as possible.
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