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1 CPSC 320: Intermediate Algorithm Design and Analysis July 25, 2014.

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1 1 CPSC 320: Intermediate Algorithm Design and Analysis July 25, 2014

2 2 Course Outline Introduction and basic concepts Asymptotic notation Greedy algorithms Graph theory Amortized analysis Recursion Divide-and-conquer algorithms Randomized algorithms Dynamic programming algorithms NP-completeness

3 3 Dynamic Programming

4 4 Greedy algorithm: combines a choice with result of taking the choice What if right choice can’t be found easily?

5 5 Coin Change Problem

6 6

7 7 Coin Change Recursive

8 8 Recursive

9 9 Dynamic Programming Approach

10 10 Dynamic Programming Approach - Faster

11 11 Rod Cutting Problem

12 12 Rod Cutting Problem

13 13 Weighted Interval Scheduling

14 14 Weighted Interval Scheduling

15 15 Weighted Interval Scheduling (cont.)

16 16 Subset Sum Problem

17 17 Subset Sum Problem

18 18 Knapsack Problem

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