Master the Union Find Pattern
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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</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</p> Signup and view all the answers

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

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

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

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

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