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Learning roadmap

Graphs & Structures

Choose a goal, then follow each stage as an ordered, explained outline.

Learning goal

Learn deeply

Build a durable mental model, then transfer it into a working application.

Foundation

Stage purpose: Establish the vocabulary and first working mental model.

Required background: Complete the linked prerequisites below or bring equivalent experience.

Expected outcome: Explain the core idea and use it in a small example.

Estimated time: 30 minutes

  1. Lesson · Estimated time: 30 minutes

    Trie — Four Problems

    Outcomes
    • Explain the core idea in Trie — Four Problems
    • Apply Trie — Four Problems in a representative exercise

    Prerequisites: No prerequisite topics

    Evidence: Practise the outcome in code and record what you learned.

    Current status: Not started

    Recommended next: Matrix — Data Structure — Carry the Trie — Four Problems mental model into the next step with a concrete transfer exercise.

Core concepts

Stage purpose: Connect the concepts into a repeatable problem-solving model.

Required background: Complete the linked prerequisites below or bring equivalent experience.

Expected outcome: Apply the model to a representative exercise without copying a recipe.

Estimated time: 30 minutes

  1. Lesson · Estimated time: 30 minutes

    Matrix — Data Structure

    Outcomes
    • Explain the core idea in Matrix — Data Structure
    • Apply Matrix — Data Structure in a representative exercise

    Prerequisites: Trie — Four Problems

    Evidence: Practise the outcome in code and record what you learned.

    Current status: Not started

    Recommended next: Graph Algorithms — Fourteen Problems — Carry the Matrix — Data Structure mental model into the next step with a concrete transfer exercise.

Applied transfer

Stage purpose: Transfer the concepts into a realistic implementation task.

Required background: Complete the linked prerequisites below or bring equivalent experience.

Expected outcome: Produce a small artifact that proves the decision works.

Estimated time: 30 minutes

  1. Lesson · Estimated time: 30 minutes

    Graph Algorithms — Fourteen Problems

    Outcomes
    • Explain the core idea in Graph Algorithms — Fourteen Problems
    • Apply Graph Algorithms — Fourteen Problems in a representative exercise

    Prerequisites: Matrix — Data Structure

    Evidence: Practise the outcome in code and record what you learned.

    Current status: Not started

    Recommended next: Complete this path by applying these outcomes in your own project.