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Asked: May 11, 20262026-05-11T02:21:35+00:00 2026-05-11T02:21:35+00:00

With the reference of this answer , what is Theta (tight bound)? Omega is

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With the reference of this answer, what is Theta (tight bound)?

Omega is lower bound, quite understood, the minimum time an algorithm may take. And we know Big-O is for upper bound, means the maximum time an algorithm may take. But I have no idea regarding the Theta.

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  1. 2026-05-11T02:21:35+00:00Added an answer on May 11, 2026 at 2:21 am

    Big O is the upper bound, while Omega is the lower bound. Theta requires both Big O and Omega, so that’s why it’s referred to as a tight bound (it must be both the upper and lower bound).

    For example, an algorithm taking Omega(n log n) takes at least n log n time, but has no upper limit. An algorithm taking Theta(n log n) is far preferential since it takes at least n log n (Omega n log n) and no more than n log n (Big O n log n).

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