Practice Operations of Union-Find Data Structure - 7.1 | 7. Union-Find Data Structure Using Pointers | Design & Analysis of Algorithms - Vol 2
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Operations of Union-Find Data Structure

7.1 - Operations of Union-Find Data Structure

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What are the three main operations of the Union-Find data structure?

💡 Hint: Think of the operations as initializing, discovering, and merging.

Question 2 Easy

What is path compression in Union-Find?

💡 Hint: It's about making paths shorter.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What operation does Union-Find use to initialize single element partitions?

Union
Find
Make

💡 Hint: Think about how we start the groups.

Question 2

True or False: The union operation combines two partitions into one.

True
False

💡 Hint: Consider what merging means.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a series of union operations on elements, demonstrate the state of the Union-Find structure at each step and compute the resulting sizes of components.

💡 Hint: Map out each element and ensure to reflect on which joins which component.

Challenge 2 Hard

Implement a simple Union-Find structure with path compression and demonstrate it using a few find and union operations, explaining the changes in structure.

💡 Hint: Keep track of the structures before and after each operation!

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