Design and Analysis of Algorithms Quiz
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Questions and Answers

Which sorting algorithm has the best time complexity in the worst case?

  • Merge sort (correct)
  • Bubble sort
  • Insertion sort
  • Heap sort

    • What is the recurrence for the given algorithm?

  • $T(n) = T(\frac{n}{2}) + \theta(n)$
  • $T(n) = T(n-1) + \theta(n)$
  • $T(n) = 2T(\frac{n}{2}) + \theta(n)$ (correct)
  • $T(n) = T(n-1) + \theta(1)$

    • In a max-heap, where is the largest element stored?

  • In the middle of the heap
  • At the root (correct)
  • At the leaf nodes
  • At the head of the queue

    • When is the worst-case scenario for insertion sort?

    <p>When the input array is sorted in descending order</p> Signup and view all the answers

    'Dynamic programming' is commonly applied to which type of problems?

    <p>Optimization problems</p> Signup and view all the answers

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