7.10 - Effect of Path Compression on Complexity
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Practice Questions
Test your understanding with targeted questions
What are the three key operations of a union-find data structure?
💡 Hint: Think about what operations track and manage sets.
Explain what path compression does during a find operation.
💡 Hint: Consider how this affects subsequent operations.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does path compression primarily improve in the union-find data structure?
💡 Hint: Think about what operation is directly aided by reducing paths in the data structure.
True or False: With path compression, the union operation always takes constant time.
💡 Hint: Reflect on how merging trees might work.
1 more question available
Challenge Problems
Push your limits with advanced challenges
If a union-find structure has 1000 nodes, and 900 union operations are executed with path compression, how would you describe the final tree structure?
💡 Hint: Visualize how multiple unions lead to various branches merging.
In a scenario where elements are added incrementally to the union-find structure, come up with a strategy to apply path compression effectively.
💡 Hint: Consider how paths change with every operation.
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