3. Design a dynamic programming algorithm for the Longest Alternating Subsequence problemdescribed below:Input: A sequence of n integersOutput: The longest subsequence where the numbers alternate between being larger and smaller thantheir predecessorThe algorithm must take O(n) time. You must also write and explain the recurrence.Example 1:Input: [3, 5, 4, 1, 3, 6, 5, 7, 3, 4]Output: [3, 5, 4, 6, 5, 7, 3, 4]Example 2:Input: [4, 7, 2, 5, 8, 3, 8, 0, 4, 7, 8]Output: [4, 7, 2, 5, 3, 8, 0, 4]Write in Pseudocode, please 3. Design a dynamic programming algorithm for the Longest Alternating Subsequence problemdescribed below:Input: A sequence of n integersOutput: The longest subsequence where the numbers alternate between being larger and smaller thantheir predecessorThe algorithm must take O(n) time. You must also write and explain the recurrence.Example 1:Input: [3, 5, 4, 1, 3, 6, 5, 7, 3, 4]Output: [3,5, 4, 6, 5, 7, 3, 4]Example 2:Input: [4, 7, 2,5,8, 3, 8, 0, 4, 7, 8]Output: [4,7, 2, 5, 3, 8,0, 4]

If we use Dynamic programming to resolve this issue, Pseudo-code: 1. The variable pos is used to…

Answered: 3. Design a dynamic programming…

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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3. Design a dynamic programming algorithm for the Longest Alternating Subsequence problem
described below:
Input: A sequence of n integers
Output: The longest subsequence where the numbers alternate between being larger and smaller than
their predecessor
The algorithm must take O(n) time. You must also write and explain the recurrence.
Example 1:
Input: [3, 5, 4, 1, 3, 6, 5, 7, 3, 4]
Output: [3, 5, 4, 6, 5, 7, 3, 4]
Example 2:
Input: [4, 7, 2, 5, 8, 3, 8, 0, 4, 7, 8]
Output: [4, 7, 2, 5, 3, 8, 0, 4]

Write in Pseudocode, please

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