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Algorithmic Best, Average, and Worst Case Analysis
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Algorithmic Best, Average, and Worst Case Analysis

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Questions and Answers

What does the term 'Big-O notation' refer to in the context of algorithm analysis?

  • The worst possible outcome in terms of the number of instructions required to complete the algorithm (correct)
  • The time complexity of an algorithm regardless of the input size
  • The best possible outcome in terms of the number of instructions required to complete the algorithm
  • The average outcome in terms of the number of instructions required to complete the algorithm

    • What is the Big-O notation for a linear search that fails to find the item in the list?

  • O(n) (correct)
  • O(n/2)
  • O(n^2)
  • O(1)

    • In algorithm analysis, which scenario represents the worst possible outcome in terms of efficiency?

  • Sorting a reversed list
  • Finding the item in the middle of the list
  • Finding the item in the last position or not at all (correct)
  • Finding the correct item on the first element

    • What is the Big-O notation for a bubble sort that is sorting a reversed list (i.e., a list whose items are ordered highest to lowest)?

    <p>O(n^2)</p> Signup and view all the answers

    Which of the following data structures has a constant time complexity (O(1)) for insertion and removal operations?

    <p>Queue</p> Signup and view all the answers

    What is the time complexity of a linear search algorithm on an unsorted array of size N?

    <p>O(N)</p> Signup and view all the answers

    Which sorting algorithm has a time complexity of O(N log N) in the average case?

    <p>Merge Sort</p> Signup and view all the answers

    What is the time complexity of calculating the nth Fibonacci number using a recursive approach without memoization?

    <p>O(2^N)</p> Signup and view all the answers

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