6.2 - Union and Find Operations
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Practice Questions
Test your understanding with targeted questions
What are the two primary operations of the Union-Find data structure?
💡 Hint: Think about what these operations do to a set.
What is the worst-case time complexity for the naive union operation?
💡 Hint: Consider the number of elements you may have to visit in a union operation.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the find operation in the Union-Find structure do?
💡 Hint: Think about the purpose of checking components.
True or False: The union by size technique merges the larger tree into the smaller tree.
💡 Hint: Consider what it means for trees to be balanced.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a set of cities represented as nodes and roads as edges connecting them, explain how you would implement a Union-Find structure to detect cycles when planning a new road network.
💡 Hint: Consider the implications of connecting components when checking for cycles.
Implement a Union-Find algorithm with path compression and union by size. Analyze its complexity over a series of operations.
💡 Hint: Look at how merging impacts future operations and their costs.
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