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Aside from the other responses mentioning why cheating wouldn’t work, I don’t think it’s out of the question that people can solve these that quickly. The “trick”, from my experience, has been to quickly skim the problem, extract useful information (which you can “learn” to do if you do it enough), and try to figure out how to solve the problem while you are writing boilerplate to set up the problem. Using Python or a similarly high-level language often helps.

I vaguely remember something from last year or the year before one of them was pretty quick because I could just ask wolfram alpha to solve it:)

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