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3 cards from this section. Quick, good the night before a test.
What does the 'make union-find' operation do?
Think about how each element relates to others initially.
What key operation allows us to merge two components together?
Consider the goal of combining disjoint sets.
What does the 'make union-find' operation establish?
Consider what happens at the very start of the process.
Path compression is used primarily to optimize which operation?
Think about which operations rely on following paths.
Consider a set of numbers {1, 2, 3, 4, 5}. After executing a series of union operations: union(1, 2), union(2, 3), and union(4, 5), describe the pointer structure.
Visualize each operation step-by-step.
If you perform find(2) on the structure created above with path compression enabled, what would be the new structure?
Consider how paths change after each 'find' operation.
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