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
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
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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Question
3. Design a dynamic
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
![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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29176fe6-6fa3-4a86-8603-51952a73a9ea%2Fb2c92e26-894f-4e87-a32f-2e9630b8d4f5%2Fqvdisp_processed.png&w=3840&q=75)
Transcribed Image Text: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]
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