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Dynamic Programming Part One

Dynamic Programming Part One. HKOI Training Team 2004. Recurrences. Function defined in terms of itself M(X) = X * M(X-1) F n+2 = F n+1 + F n K n+1 = max{K n-1 +100, K n } One or more base cases are needed M(0) = 1 F 0 = 1, F 1 = 1 K 10 = 100, K 11 = 177. Evaluating recurrences.

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Dynamic Programming (DP)

Dynamic Programming (DP). Like divide-and-conquer, solve problem by combining the solutions to sub-problems. Differences between divide-and-conquer and DP: Independent sub-problems, solve sub-problems independently and recursively , (so same sub(sub)problems solved repeatedly )

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Mcm dp - PowerPoint PPT Presentation

Dynamic Programming Part One

Dynamic Programming (DP)