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3 cards from this section. Quick, good the night before a test.
What are the three main operations of the Union-Find data structure?
Think of the operations as initializing, discovering, and merging.
What is path compression in Union-Find?
It's about making paths shorter.
What operation does Union-Find use to initialize single element partitions?
Think about how we start the groups.
True or False: The union operation combines two partitions into one.
Consider what merging means.
Given a series of union operations on elements, demonstrate the state of the Union-Find structure at each step and compute the resulting sizes of components.
Map out each element and ensure to reflect on which joins which component.
Implement a simple Union-Find structure with path compression and demonstrate it using a few find and union operations, explaining the changes in structure.
Keep track of the structures before and after each operation!
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