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Dynamic Programming

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Session Overview

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This lecture introduces dynamic programming, and discusses the notions of optimal substructure and overlapping subproblems.

Image courtesy of aaroninthe360 on Flickr.

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Topics covered: Dynamic programming, optimal path, overlapping subproblems, weighted edges, specifications, restrictions, efficiency, pseudo-polynomials.

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What does it mean for a problem to have optimal substructure?

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A globally optimal solution can be found by combining solutions to local subproblems.

 

 

What does it mean for a problem to have overlapping subproblems?

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An optimal solution involves solving the same problem multiple times.

 

 

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