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What is the 'union by rank' optimization in Disjoint Set Union?

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Question: What is the \'union by rank\' optimization in Disjoint Set Union?

Options:

  1. Always attaching the smaller tree under the larger tree
  2. Always attaching the larger tree under the smaller tree
  3. Randomly attaching trees
  4. Merging trees based on their height

Correct Answer: Always attaching the smaller tree under the larger tree

Solution:

\'Union by rank\' optimization involves always attaching the smaller tree under the larger tree to keep the overall tree height minimized.

What is the 'union by rank' optimization in Disjoint Set Union?

Practice Questions

Q1
What is the 'union by rank' optimization in Disjoint Set Union?
  1. Always attaching the smaller tree under the larger tree
  2. Always attaching the larger tree under the smaller tree
  3. Randomly attaching trees
  4. Merging trees based on their height

Questions & Step-by-Step Solutions

What is the 'union by rank' optimization in Disjoint Set Union?
  • Union by Rank – A technique used in Disjoint Set Union to optimize the union operation by attaching the tree with a smaller rank under the tree with a larger rank, thereby minimizing the height of the resulting tree.
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