### Understanding Data Structures: Priority Queues and SetsWhen working with data structures such as **priority queues** and **sets**, it's important to understand their underlying properties and behavior. The following statements explore some of the characteristics of these data structures. Identify which of these statements are true.1. **By default, values for a priority queue exist in contiguous memory.** - Priority queues, often implemented as binary heaps, typically store their elements in contiguous memory for efficient access.2. **By default, values for a set exist in contiguous memory.** - Sets, depending on their implementation (e.g., hash sets or tree sets), may not necessarily store elements in contiguous memory. Hash sets, for instance, store elements based on hash values which do not ensure contiguous storage.3. **Sets are balanced trees, while priority queues are not.** - Sets, particularly in many standard libraries, are often implemented as balanced binary search trees (e.g., red-black trees) ensuring logarithmic time complexity for insertion, deletion, and search operations. Priority queues, implemented as binary heaps, do not maintain a balanced tree structure.4. **Both have \( O(\log(n)) \) runtimes for inserting new nodes, and for removing nodes.** - Both sets and priority queues offer logarithmic time complexity for insertion and removal operations due to their underlying tree and heap structures, respectively.5. **Both can be used to search for specific values.** - While you can search for specific values in both sets and priority queues, the performance characteristics and methods of doing so can differ. Sets offer direct search capabilities due to their inherent search tree structure. Priority queues are optimized for accessing the highest (or lowest) priority element and do not provide efficient methods for arbitrary searches.**Graphical Representation Explanation:**In this example, there is a list of checkbox options, each representing a statement about priority queues and sets. Users are prompted to select all that apply, assessing their understanding of the data structures in question. No graphs or diagrams are included in this particular question, but the statements themselves aim to test comprehension of memory storage, tree balancing, time complexity, and search capabilities.

Priority_queues is implemented by making Max-heap and Max-heap is create by using array Hence , by…

Which of the following statements about priority_queues and sets is/are TRUE? SELECT ALL THAT APPLY. by default, values for a priority queue exist in contiguous memory by default, values for a set exist in contiguous memory sets are balanced trees, while priority queues are not Both have O(log(n)) runtimes for inserting new nodes, and for removing nodes Both can be used to search for specific values

Which of the following statements about priority_queues and sets is/are TRUE? SELECT ALL THAT APPLY. by default, values for a priority queue exist in contiguous memory by default, values for a set exist in contiguous memory sets are balanced trees, while priority queues are not Both have O(log(n)) runtimes for inserting new nodes, and for removing nodes Both can be used to search for specific values

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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