Master the Union Find Pattern

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Which data structure is used in the Union Find pattern to keep track of which set each element belongs to?

  • Queue
  • Linked list
  • Stack
  • Array (correct)

What is the purpose of the find(x) operation in the Union Find pattern?

  • Finds the size of the set that contains x
  • Finds the height of the tree that contains x
  • Merges the sets of x and y into one
  • Finds the representative of the set that contains x (correct)

What is the time complexity of the worst-case scenario in the initial implementation of the Union Find pattern?

  • O(n^2)
  • O(log n)
  • O(1)
  • O(n) (correct)

What is the optimization called that improves the Union Find pattern by maintaining a rank for each tree?

<p>Union by rank (D)</p> Signup and view all the answers

What is the purpose of the union(x, y) operation in the Union Find pattern?

<p>Merges the sets of x and y into one (C)</p> Signup and view all the answers

Which of the following is an optimization technique used in the union find pattern?

<p>Path compression (D)</p> Signup and view all the answers

What is the worst-case time complexity of the union find pattern with both rank compression and path compression optimizations?

<p>O(alpha(n)) (A)</p> Signup and view all the answers

Which of the following problems can be solved using the union find pattern?

<p>Dividing a digital image into regions of similar colors (C)</p> Signup and view all the answers

What is the purpose of the union find pattern in image manipulation applications?

<p>To locate different objects within the image (B)</p> Signup and view all the answers

What does the union find pattern help determine in percolation problems?

<p>The percolation threshold (D)</p> Signup and view all the answers

Flashcards are hidden until you start studying

More Like This

Use Quizgecko on...
Browser
Browser