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Probably the most important thing I learned about algorithmic complexity analysis in grad school was that N is not constant, but rather it grows over time (probably at an exponential rate). That is, as our computing power increases, we continue to aspire to analyze larger and larger data sets. So anything beyond O(n*log(n)) that works right now is more or less guaranteed to blow up in the not-so-distant future, if it remains in use that long.


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