Programmer Humor

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Not everything can be done in constant time, that's O(k) (sh.itjust.works)

submitted 4 months ago by [email protected] to c/[email protected]

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[–] [email protected] 7 points 4 months ago

T = O(n) means that there exists a single constant k such that T < kn for all sufficiently large n. Therefore O(n!^2) is not the the same as O(n!), but for example both 10n!, 10000n!, n! + n^2 (note the plus) are O(n!).

Another way to think about this: suppose you believe that O(n) and O(n^2) are distinct. Now plug in only numbers that are factorials (2, 6, 24, ...).