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Union Find Pattern Quiz

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Questions and Answers

Which data structure is used in the Union Find pattern?

Stack
Linked List
Array (correct)
Queue

What does the find(x) operation do in the Union Find pattern?

Finds the representative of the set that contains x (correct)
Finds the rank of the set that contains x
Finds the parent of the element x
Finds the element x in the set

What does the union(x, y) operation do in the Union Find pattern?

Merges the sets of x and y into one (correct)
Finds the union of sets x and y
Finds the common elements between sets x and y
Finds the size of sets x and y

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

O(n) (D) Signup and view all the answers

What optimization can be used to improve the Union Find pattern?

Union by rank (B) Signup and view all the answers

Which of the following optimizations is used in the union find pattern to reduce the length of the path from a node to the root?

Path compression (B) Signup and view all the answers

What is the worst-case time complexity of the union find pattern when merging two trees with the union method?

$O(\log(n))$ (A) Signup and view all the answers

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

Identifying connected components in a graph (D) Signup and view all the answers

In the context of image manipulation, how is the union find pattern used?

To locate different objects within the image (B) Signup and view all the answers

What is the amortized time complexity of the union find pattern when performing multiple Union Find operations?

$O(m\alpha(n))$ (A) Signup and view all the answers

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