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Well, recognizing that a particular solution is impossible (and then proving it) is part of mathematics, as LorenCobb says. For example, you could think of the Riemann hypothesis as requiring a proof of impossibility, and if you could come up with a solution for that you'd be quite famous.

Nice to see a confirmation in any case. It's possible that the omission of some key details (like the definition of a move) was a subtle tip-off on the part of the author, if it wasn't just a mistake.
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