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Class 9 · DSA · Enrichment

Binary search trees

Interactive explanation Gamified quiz, feedback & rewards

0 XP0 mastered
DSA enrichment · Learning goals & preparation

By the end, you can…

  • Explain The ordering rule applies recursively to entire subtrees.
  • Trace a small input and connect each operation to the algorithm’s rule.
  • Explain the implementation’s time and space cost and solve its mission.

Useful preparation: Reading arrays, indexing from zero and following step-by-step instructions. Suggested previous stop: Min heaps / priority queues.

DSA uses suggested Foundation (Class 8), Builder (Class 9) and Advanced (Class 10) levels. It is an enrichment pathway.

Trees · Builder

Binary search trees

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Step to create the first node.

Ready. Step through the algorithm and explain each change.

  1. start at root
  2. if value < node: go left
  3. if value > node: go right
  4. insert at the first empty child
  5. ignore an equal value

Up to 12 integers. Apply input to rebuild the trace and restart this topic’s quest.

A deliberate practice loop

Don’t just watch it move

  1. 1Before stepping, predict the next comparison, pointer move or state update.
  2. 2Read the explanation and identify the invariant that remains true.
  3. 3Change the input, then solve the concept quest without guessing.
About this pathway

From foundations to advanced patterns

The library covers core DSA techniques with bounded teaching examples. Foundation, Builder and Advanced describe learning progression, rather than a school-class syllabus. Snapshots are stored for playback and are excluded from algorithm-space labels.

Further study: MIT Introduction to Algorithms ↗