Algorithm Essentials Quiz
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Questions and Answers

Explain the divide-and-conquer design paradigm in algorithms.

The divide-and-conquer design paradigm in algorithms involves three steps: 1. Divide the problem into subproblems, 2. Conquer the subproblems by solving them recursively, and 3. Combine the subproblem solutions.

In the divide-and-conquer design paradigm, what is the first step?

  • Conquer the subproblems
  • Combine the subproblem solutions
  • Recursively sort 2 subarrays
  • Divide the problem into subproblems (correct)

What is the second step in merge sort?

  • Divide: Trivial
  • Combine: Linear-time merge
  • Conquer: Recursively sort 2 subarrays (correct)
  • Combine the subproblem solutions

What is the time complexity for merge sort's combining step?

<p>$\Theta(n)$ (D)</p> Signup and view all the answers

In the context of algorithms, what does 'VLSI' stand for?

<p>Very Large Scale Integration (B)</p> Signup and view all the answers

What is the recurrence relation for merge sort?

<p>$T(n) = 2T(n/2) + \Theta(n)$ (B)</p> Signup and view all the answers

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