6.9 - Amortized Complexity
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Practice Questions
Test your understanding with targeted questions
What does the union operation do in the Union-Find data structure?
💡 Hint: Think about combining groups.
What is the find operation used for?
💡 Hint: Consider it like identifying membership.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What operation combines two disjoint components into one?
💡 Hint: Think of it as joining two groups.
Is every union operation guaranteed to take O(1) time?
💡 Hint: Consider the worst-case scenario for unoptimized operations.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Design a contrived example where multiple union operations lead to one of the components experiencing maximum path length. Explain how path compression would have altered this scenario.
💡 Hint: Consider how repeatedly merging one element into another affects their relations.
Implement a basic version of the Union-Find structure in code. Discuss how your implementation optimizes the time complexity for a series of union operations.
💡 Hint: Ensure to keep methods distinct for union and find, highlighting time complexities.
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