Practice Union-find Operations (5.5.2) - Kruskal's Algorithm - Design & Analysis of Algorithms

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6 sample questions

Question 1.
What does the Find operation do in Union-Find?
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Think about how you identify groups.
Question 2.
What is the purpose of the Union operation?
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Consider the process of combining groups.
3Question 3.
What does the Union operation do?
- It finds a vertex component
- It connects two components
- It deletes an edge
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Think about merging groups together.
4Question 4.
The Find operation helps to:
- True
- False
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Think about finding out what group you're in.
Question 5.
Implement a Union-Find data structure with path compression and union by rank in Python. Explain how it improves efficiency.
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Focus on how each operation alters the arrays.
Question 6.
Explain a scenario where the Union-Find algorithm could fail or be less efficient than other methods.
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Consider the trade-offs between time complexity and the nature of the dataset.

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