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COP 4534 Data Structure and Algorithm Design II
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Module 10: Dynamic Programming
Module 10: Dynamic Programming
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Contents:
Dynamic Programming
Overview
Characteristics
Applications
Benefits
Challenges
Approaches
Complexity Analysis
Max Sum Subarray Problem
Introduction
Baseline: Brute-force
Divide and Conquer Solution
Kadane’s Algorithm: Dynamic Programming Solution
Chain Matrix Multiplication Problem
Introduction
The Chain Matrix Multiplication Problem
Brute-Force Approach
Dynamic Programming Approach
Longest Common Subsequence Problem
Introduction
Brute Force Approach
DP Solution for LCS
Traceback to Find the LCS
Pseudocode
Variations
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Combinatorics Problems That Needs Algorithms
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COP 4534 Data Structure and Algorithm Design II
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Module 10: Dynamic Programming