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2 cards from this section. Quick, good the night before a test.
Define the Union-Find data structure.
Think about how subsets are formed and maintained.
What is the purpose of the 'Find' operation?
It checks the component of a specific element.
What operation does the Union-Find structure primarily support?
Think about what this structure is used for in algorithm design.
True or False: The initialization of Union-Find only requires one set for all elements.
Recall how subsets are formed during initialization.
Design a Union-Find data structure from scratch, explaining each part of your implementation. What optimizations can you include?
Consider both the data structure itself and how operations will be implemented.
Given m union operations in an initial set of n unique elements, calculate the worst-case time complexity for both union and find operations.
Break down the individual complexities of operations and accumulate over m steps.
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