CS 161: Design and Analysis of Algorithms – Spring 2016
- Instructor:
Virginia Vassilevska Williams
- Time: Tuesdays and Thursdays 3-4:20p
- Location: NVIDIA Auditorium
Description:
Worst and average case analysis. Recurrences and asymptotics.
Efficient algorithms for sorting, searching, and selection.
Data structures: binary search trees, heaps, hash tables.
Algorithm design techniques: divide-and-conquer, dynamic programming, greedy algorithms, amortized analysis, randomization.
Algorithms for fundamental graph problems: minimum-cost spanning tree, connected components, topological sort, and shortest paths.
Introduction to network flows and graph matchings.
Prerequisites:
Before taking CS 161, it is important that you complete
CS 103 and CS 109/STATS 116, or the equivalents.
In particular,
you should be comfortable with proofs, discrete mathematics,
basic graph and set theory, and introductory probability theory.
Useful Information:
Exams:
There will be two exams for the course: one midterm and one final.
The midterm will be on Tuesday, May 3th, in class: 3-4:20pm.
Midterm Solutions: [pdf]
The final exam will be on Saturday, June 4, 7-10pm at Dinkelspiel Auditorium,
as specified by the
registrar.
There will NOT be an alternate final exam, so plan
accordingly.
PRACTICE FINAL
Solution: [pdf]
Homework:
Before working on the homework, please read the homework policy.
- Homework 6: [pdf], due May 27, 12pm. (Please follow this post for clarifications/updates. ) Solution: [pdf]
- Homework 5: [pdf], due May 20, 12pm. (
Please follow this post for clarifications/updates.
Last update: May 13th at 8:50pm.) Solution: [pdf]
- Homework 4: [pdf], due May 13, 12pm. Solution: [pdf]
- Homework 3: [pdf], due April 29, 12pm. (Clarification for Q2 is added to PDF as of 4/25 11am.) Solution: [pdf] (We updated solutions after the midterm -- last update: May 10, 10am.)
- Homework 2: [pdf], due April 22, 12pm. Solution: [pdf]
- Homework 1: [pdf], due April 15, 12pm.
(please see this post for a clarification on Q4-d.)
Solution: [pdf]
- Homework 0: [pdf], due April 8, 12pm. Solution: [pdf]
Lectures:
- Introduction, Why are you here? [pdf]
- MergeSort, Recurrences, Asymptotic Analysis [pdf]
- Divide And Conquer, Solving Recurrences, Integer Multiplication [pdf]
- Median and Selection [pdf]
- Quicksort [pdf]
- Sorting Lower Bounds and Counting Sort [pdf]
- Binary Search Trees, Red-Black trees [pdf]
- (More) Red-Black Trees and Hashing with Chaining [pdf]
- Open Addressing [pdf]
- Graphs, DFS and Topological Sort [pdf]
- Single Source Shortest Paths: BFS and Dijkstra's Algorithm [pdf]
- Shortest Paths: (More) Dijkstra's, Bellman-Ford, Amortized Analysis and Incrementing a Binary Counter [pdf]
- Dynamic Programming: Floyd-Warshall, Longest Common Subsequence [pdf]
- Greedy Algorithms: Activity Selection, Minimum spanning tree: Boruvka, Kruskal, Prim [pdf]
- Minimum Cut: Karger's Algorithm [pdf]
- Max Flow / Min st-Cut, Ford-Fulkerson [pdf]
- Max Flow: Edmonds-Karp, Bipartite Perfect Matching [pdf]