Design an efficient algorithm that takes a sequence x[1 … n] and returns the longest palindromic subsequence.

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
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A palindrome is a nonempty string over some alphabet that reads the same forward and backward. For instance, sequence ACGTGTCAAAATCG has palindromic subsequences, including ACGCA and CAAC, while ACG is not palindromic. Design an efficient algorithm that takes a sequence x[1 … n] and returns the longest palindromic subsequence. Give the Big-Oh characterization of your algorithm.

3. (25 points) a. A palindrome is a nonempty string over some alphabet that reads the same
forward and backward. For instance, sequence ACGTGTCAAAATCG has palindromic
subsequences, including ACGCA and CAAC, while ACG is not palindromic. Design an
efficient algorithm that takes a sequence x[1 . n] and returns the longest palindromic
subsequence. Give the Big-Oh characterization of your algorithm.
b. Solve the following optimal restaurant location problem using dynamic programming.
The distance constraint is that two selected locations cannot be within 10 miles.
Distance
between
locations (mi)
6 3
5
4
6
6
9
7
Estimated 15
17 4 11
9 2 8
5
Profit ($10k)
Total Profit
Select į
Do not select į
Best
|
Transcribed Image Text:3. (25 points) a. A palindrome is a nonempty string over some alphabet that reads the same forward and backward. For instance, sequence ACGTGTCAAAATCG has palindromic subsequences, including ACGCA and CAAC, while ACG is not palindromic. Design an efficient algorithm that takes a sequence x[1 . n] and returns the longest palindromic subsequence. Give the Big-Oh characterization of your algorithm. b. Solve the following optimal restaurant location problem using dynamic programming. The distance constraint is that two selected locations cannot be within 10 miles. Distance between locations (mi) 6 3 5 4 6 6 9 7 Estimated 15 17 4 11 9 2 8 5 Profit ($10k) Total Profit Select į Do not select į Best |
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