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Every time I see a Jane Street puzzle of this like I wonder in which way you can improve your problem solving skills for these things and how to extrapolate patterns from other things. I have a gut feeling that this is not only just grinding puzzles, there has to be a way to improve this. Curious if people have some insights on this

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Doing more hard problems and learning how to persevere through them, even if it ends in failure.

There are some smaller strategies you can employ like doing introspection about decision processes that led you astray and learning how to avoid them. Reflect on what worked and what did not afterward. Try to recognize trigger points for both good and bad decisions then try to nudge your thinking toward or away from those decision points in the future.

The majority of it is simply doing more and persevering.

do not give up before other people

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