What is the Master Theorem in algorithm analysis?
An example of an AI chatbot conversation about the Master Theorem in algorithm analysis.
What is the Master Theorem in algorithm analysis?
The Master Theorem provides a method for analyzing the time complexity of divide-and-conquer algorithms.
Can you give me an example of how to apply the Master Theorem?
Sure! Consider the recurrence T(n) = 2T(n/2) + n. Here, a=2, b=2, and f(n)=n.
How do I determine which case of the Master Theorem to use?
You compare f(n) with n^(log_b(a)). If f(n) grows polynomially faster, you use case 3; otherwise, use case 1 or 2.
What are the cases of the Master Theorem?
There are three cases: 1) f(n) is polynomially smaller, 2) f(n) is asymptotically equal, and 3) f(n) is polynomially larger.
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