10. Consider the union-find container given below and suppose you used path compression whenimplementing union-find.Item13467810Representative 18154 610I. After calling find on item 7, 4's representative would be 8.II. After calling find on item 6, 8's representative would be 5.III. Calling find on 3 would change one or more representatives in the table.IV. There are 2 disjoint sets represented here.V. After calling find on item 2, 6's representative would be 5.Which of the following is true given these 10 elements and their representatives?A. I onlyВ. I, IVC. IV onlyD. I, III, IVЕ. I, IV, V

Path compression` is a way of flattening the structure of the tree whenever Find is used on it.…

Answered: 10. Consider the union-find container…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Consider this visualization of disjoint sets:a. What does find (20) return? b. What does find (18) return? c. In your own words, explain the differences between union by size and union by height in disjoint set implementations. Use the above illustration if it would help you answer this question better d. Now Suppose we call Find(12) and we are using path compression. Which links change, and what do they change to once compression is complete?
. The normalized representation for the above has an implicit 1 preceding the binary (radix) format is specified as follows. has an implicit 1 preceding the binary (radiX) point. Assume that only 0's are padded in while shifting a field. The normalized representation of the above number (0.239 × 213) is:
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Consider this visualization of disjoint sets:Now Suppose we call Find(12) and we are using path compression. Which links change, and what do they change to once compression is complete?
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