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baddox 1502 days ago link

vecter 1501 days ago Nike Tracksuit Boys

is O(n^2), many techniques have been invented to avoid the worst cases and execute in just O(n log n) (average case), and it's usually faster than merge sort in practice.

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baddox 1503 days ago Nike Jacket Black And Gray

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Technically, you can't ever guarantee that you'll avoid the worst case of quicksort. All the techniques to make it nlogn are probabilistic, and you can always engineer a pathogenic input that will make quicksort run quadratic.

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Big O only says something about n = Infinite. Big O is a tool for saying how quickly an algorithm runs based on the size of n, and it's usually used to measure real things, like what will happen when the filesystem has to handle 100,000 files, then 1,000,000, etc.

Hardware is irrelevant. The analysis is mathematical and abstract. There are other models Nike Jacket Black And Blue that more closely resemble computers. If there are duplicate values, can you think of a way to still guarantee worst case O(n lg n)?

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Is it true that quicksort is worst case O(n lg n) if you always select the median? What if there are a lot of duplicate values at the median? My understanding has always been that for any quicksort algorithm on given hardware you can construct a pathogenic input that will be sorted in quadratic time.

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a very clear and accessible explanation of what big O complexity is all a

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