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5 cards from this section. Quick, good the night before a test.
What are the two main operations of the Union-Find data structure?
Think about how we check connectivity and merge components.
Explain path compression in your own words.
Consider how you can represent connections more efficiently.
What does the find operation do in a Union-Find data structure?
Think about the purpose of the operation.
True or False: The union operation is always faster than the find operation.
Consider how merging is handled.
Given a series of union operations: union(1, 2), union(2, 3), union(4, 5), union(1, 4). What is the final representation of the components?
Visualize the unions as connections between nodes.
Explain how the efficiency of Kruskal's algorithm changes with the introduction of the Union-Find structure.
Consider the implications of fast merging and querying of components.
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