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by dsp1234
3465 days ago
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In the given case, it's actually the "English words" limitation that saves the question. An exact answer to top-k problems is O(N) is storage space where N is the number of distinct items. So since N is ~200k, it's not a terrible problem to deal with. When N is 3 as in your given case, it's not really a problem. The general case, of when the stream is unbounded in the number of distinct items, is much harder, say the stream is 1 quintillion non-repeating words, then starts repeating. This requires an approximation algorithm, but is not likely the solution that was looked for since the person specifically said "slight less trivial", and the streaming approximation algorithm is more complex. Though it could be still be saved by flipping the question back onto the interviewer's phrasing. They said "don't run out of memory", not "don't run out of disk space". So you could also solve this problem by, for example, writing the data into a database, then using SQL group by and top X functions to solve it once the stream has ended. But as an interviewer, I probably wouldn't be amused. |
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The only thing I'd add is that you can probably come up with a pretty simple heuristic or three to solve the problem for the case of truly random gibberish, without the need for elaborate data structures. But yes, this would be the answer of a great candidate.