CS 3343: Analysis of Algorithms

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CS 3343: Analysis of Algorithms Review for final 11/13/2018

Final Exam Closed book exam Coverage: the whole semester Cheat sheet: you are allowed one letter-size sheet, both sides Tuesday, May 9, 9:45am – 12:15pm Basic calculator (no graphing) allowed No cell phones! 11/13/2018

Final Exam: Study Tips Study tips: Re-make your previous cheat sheets Study each lecture Study the homework and homework solutions Study the midterm exams Re-make your previous cheat sheets 11/13/2018

Topics covered (1) By reversed chronological order: Other topics Graph search & topological sort String matching P & NP Graph algorithms Representations MST (Prim’s, Kruskal’s) Shortest path (Dijkstra’s) Running time analysis with different implementations Greedy algorithm Uniform-profit restaurant location problem Fractional knapsack problem How to show that certain greedy choices are optimal Color key: Red: Absolutely need to know Blue: Ideally, you should know Grey: Possible extra credit question 11/13/2018

Topics covered (2) Dynamic programming Binary heap and priority queue LCS Restaurant location problem Shortest path problem on a grid Other problems Knapsack, event scheduling, coin changing, etc. How to define recurrence solution, and use dynamic programming to solve it Binary heap and priority queue Heapify, buildheap, insert, exatractMax, changeKey Running time and analysis 11/13/2018

Topics covered (3) Order statistics Sorting algorithms Rand-Select Worst-case Linear-time selection Running time Running time analysis using substitution method Expected running time analysis of probabilistic algorithm Sorting algorithms Insertion sort Merge sort Quick sort Heap sort Linear time sorting: counting sort, radix sort Stability of sorting algorithms Worst-case and expected running time Memory requirement of sorting algorithms Running time analysis of quick sort using substitution method 11/13/2018

Topics covered (4) Analysis Analyzing non-recursive algorithms Compare order of growth Prove asymptotic notation using basic definition Worst case and average case analysis Analyzing non-recursive algorithms Sum of arithmetic series Sum of geometric series Analyzing recursive algorithms Defining recurrence Solving recurrence Master theorem Recursion tree (iteration) method Substitution method 11/13/2018