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10.1.5. Time Complexity of Binary Search

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Try these first

  1. 1.

    What is binary search?

    Hint

    Remember it reduces the search area significantly.

  2. 2.

    What time complexity does linear search have?

    Hint

    Think about the number of elements to check.

  3. 3.

    What is the time complexity of binary search?

    • O(n)
    • O(log n)
    • O(n^2)
    Hint

    Think about how many elements you eliminate each time.

  4. 4.

    True or False: Binary search can be applied to unsorted arrays.

    • True
    • False
    Hint

    Consider how the elements need to be ordered.

  5. 5.

    Design an algorithm in pseudocode for binary search and analyze its time complexity.

    Hint

    Ensure to consider how to handle the mid index calculation.

  6. 6.

    Explain a scenario in a real-world system where binary search would be preferred over linear search, justifying your reasoning.

    Hint

    Think about the magnitude of data and sorting.

Exercises

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting

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Quiz

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting

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Challenge Problems

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting