It would take you an amount of time proportional to N, that is, reciting 20 random numbers would take you twice as long as reciting 10 random numbers.įormally one would say that, "saying random numbers outloud" gets harder linearly in N. In fact, there is a whole field of study for characterizing how hard problems are, called algorithm complexity, and engineers at computer companies like Google and Facebook spend a lot of time analyzing questions like these to make the internet run efficiently.įor example, say you wanted to say N random numbers out-loud. Good news! We can say in general about how much harder a puzzle is depending on the number of pieces in it. You've probably realized it takes you more than 5 times as long to do a 500 piece puzzle than a 100 piece puzzle, but how much longer?
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