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> is it possible to create a board that has multiple valid solutions? Some simple boards like 11111111 22222222 33333333 44444444 55555555 6666666

• miningape 1y ago
  Thank you! Can't believe I didn't think of this
  • gus_massa 1y ago
    Mathematician here. A standard trick is to look for counterexamples as simple as possible. A usual joke is that if the professor ask a question in a class, the answer is 0 or 1. (In physics, it's 0 or infinity.) If the very simple counterexample fails, you try to understand why and make a new counterexample that is slightly less simple and solves the problem. And then you iterate until you run out of counterexamples and has proved the theorem.