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Recursion, Sorting and Searching

Big O notation and algorithm complexity

  • 3 things to know
  • A2 Unit 3

Overview

Time complexity and space complexity.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

What does Big O notation express about an algorithm?

Key term

What is time complexity?

Key term

What is space complexity?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What does Big O notation express about an algorithm?

    Model answer

    It expresses how the work the algorithm does grows as its input grows, ignoring constant factors and lower-order terms.

  2. 2

    Why are constant factors dropped from a Big O expression?

    Model answer

    Constants depend on the machine and the language rather than on the algorithm, and they are swamped by the growth term once the input is large.

  3. 3

    What is time complexity?

    Model answer

    Time complexity describes how the number of steps an algorithm performs grows with the size of its input.

  4. 4

    What is space complexity?

    Model answer

    Space complexity describes how the amount of memory an algorithm needs grows with the size of its input.

  5. 5

    Name, in order from best to worst, five common Big O complexities.

    Model answer

    They are O(1), O(log n), O(n), O(n log n) and O(n²).

  6. 6

    What does a complexity of O(1) mean?

    Model answer

    The algorithm takes the same amount of work whatever the size of its input.

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