7.2 - Array Based Implementation
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Practice Questions
Test your understanding with targeted questions
What is the purpose of the union-find data structure?
💡 Hint: Think about group management and connections.
Which operation checks the component of an element?
💡 Hint: This operation helps you know where an element's group is.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the initial time complexity for the find operation in union-find?
💡 Hint: Consider what happens during a direct lookup.
Is the amortized complexity for the union operation O(log m)?
💡 Hint: Think about the sequence of operations and how they merge.
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Challenge Problems
Push your limits with advanced challenges
Given a sequence of union operations, illustrate how the data structure looks after each operation. Describe what happens to the find operations for the involved elements.
💡 Hint: Use a diagram to represent the sequence and changes.
Suppose you implement path compression in the union-find structure. Analyze the implications of this on the time complexity of find operations across multiple sequences.
💡 Hint: Sketch out how the path updates during the process.
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Reference links
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