Lecture18 - Dynamic Programming CSE 421 Algorithms Richard...

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CSE 421 Algorithms Richard Anderson Lecture 18 Dynamic Programming Dynamic Programming • The most important algorithmic technique covered in CSE 421 • Key ideas – Express solution in terms of a polynomial number of sub problems – Order sub problems to avoid recomputation Today - Examples • Examples – Optimal Billboard Placement • Text, Solved Exercise, Pg 307 – Linebreaking with hyphenation • Compare with HW problem 6, Pg 317 – String approximation • Text, Solved Exercise, Page 309 Billboard Placement • Maximize income in placing billboards –b i = (p i , v i ), v i : value of placing billboard at position p i • Constraint: – At most one billboard every five miles •Examp le – {(6,5), (8,6), (12, 5), (14, 1)} Design a Dynamic Programming Algorithm for Billboard Placement • Compute Opt[1], Opt[2], . . ., Opt[n] • What is Opt[k]? Input b 1 , …, b n , where bi = (p i , v i ), position and value of billboard i Opt[k] = fun(Opt[0],…,Opt[k-1])
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This note was uploaded on 02/25/2012 for the course CSE 421 taught by Professor Richardanderson during the Fall '06 term at University of Washington.

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Lecture18 - Dynamic Programming CSE 421 Algorithms Richard...

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