Algorithm Complexity and Growth Rate Functions
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Questions and Answers

What is the term used for problems that do not have any polynomial-time algorithm?

  • NP-easy
  • NP-hard (correct)
  • NP-quick
  • NP-simple
  • In the context of algorithms, what does 'nlogn' refer to?

  • Exponential time complexity
  • Linear time complexity
  • Logarithmic time complexity (correct)
  • Quadratic time complexity
  • What is the order of algorithm that should be reduced if it is above or equal to n^3?

  • n2
  • 2n
  • nlogn
  • n3 (correct)
  • What is the growth-rate function represented by O(n^2)?

    <p>Quadratic growth</p> Signup and view all the answers

    Study Notes

    Algorithm Complexity

    • NP-hard problems are those that do not have any polynomial-time algorithm.
    • 'nlogn' refers to a time complexity where the running time grows linearly with the size of the input, but with an additional logarithmic factor.
    • Algorithms with a time complexity above or equal to n^3 should have their order reduced to improve performance.
    • The growth-rate function O(n^2) represents a quadratic time complexity, where the running time grows quadratically with the size of the input.

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    Description

    This quiz covers topics related to algorithm complexity, including the order of algorithms, polynomial orders, reducing running time, NP-hard and NP-complete problems, and growth-rate functions. It also introduces formalism for NP-hard and NP-complete problems.

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