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Learning objective

Binary tree search: Be able to trace and analyse the time complexity of the binary tree search algorithm. Time complexity is O(log n).

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Topic

Searching algorithms

Subtopic

Binary tree search

Aqa A Level Computer ScienceFundamentals of algorithms

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Quick explanation

Binary tree search: Be able to trace and analyse the time complexity of the binary tree search algorithm. Time complexity is O(log n)

  • This point belongs to Searching algorithms, especially Binary tree search.
  • You need to be able to binary tree search: Be able to trace and analyse the time complexity of the binary tree search algorithm. Time complexity is O(log n).
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Why it matters

This objective helps connect Binary tree search to exam-style questions, flashcards, and revision notes for Searching algorithms.

Quick student answer

A binary tree search starts at the root node with value 50. The left child is 30 and the right child is 70. The target value is 30. Which node is examined first, and what happens next?

Direct answer

B. 50 is examined first, then the search moves left

Key terms

  • Root node: The starting node at the top of a binary tree, examined first during a binary tree search.
  • Time complexity: A description of how the amount of work required by an algorithm changes as the number of values, n, changes.

Common trap

Starting at the wrong node: Always record and compare the root value first, then follow the branch selected by the comparison.

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