Consider the following recurrence relation: T(n)=3T(n/3)+n2/3,T(1)=1,T(0)=0 What is the complexity of T(n)? Options : Θ(n) Θ(nlogn) Θ(n^2/3) Θ(n^1.5)

Question

Consider the following recurrence relation: T(n)=3T(n/3)+n2/3,T(1)=1,T(0)=0 What is the complexity of T(n)? Options : Θ(n) Θ(nlogn) Θ(n^2/3) Θ(n^1.5)
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Solution 1

The complexity of the given recurrence relation T(n) = 3T(n/3) + n^2/3, T(1) = 1, T(0) = 0 is Θ(n^1.5). This is because the recurrence relation follows the form of the Master Theorem, which is used to determine the time complexity of divide and conquer algorithms. The Master Theorem states that for Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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