Why can you sit 2 hours trying to solve a programming/math problem, give up, go to bed & then when you wake up, solve the problem in 10 minutes?
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It has to do with your brain working better when you are relaxed. After a long period of focused work, you tend to narrow your focus and ignore answers that seem improbable. Taking a break allows you to get a fresh perspective on the problem and during the break you think of a solution you wouldn’t have when you were super focused.
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