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Big-Ω (Big-Omega) notation

Explore how Big Omega notation describes the asymptotic lower bound of an algorithm's running time. Learn to interpret and apply this notation to analyze minimum performance guarantees in algorithms for large input sizes.

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Sometimes, we want to say that an algorithm takes at least a certain amount of time, without providing an upper bound. We use big-Ω notation; that's the Greek letter "omega."

If a running time is Ω(f(n))\Omega(f(n)), then for large enough nn, the running time is at least kf(n ...