Algorithm Design Manual Homework Solutions

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CSc 445 Introduction to Algorithms Time and place Tue Thu 5-6:16 Update Instructor 742 (520) 626-8047 Office hours: TueThu 1:15-2:30, or by an appointment TA. Shashwat Vidhu Sher. Office Hours: Mo & Wed 3:30-4:45 Gould-Simpson 909B. Deepak Muddebihal. Office Hours: Tues 12-1:15 Gould-Simpson 909A After a short illustration of algorithm design and analysis, the course begins by reviewing basic analysis techniques (approximating functions asymptotically, bounding sums, and solving recurrences). We then study problems that are efficiently solvable, focusing on basic design techniques (divide-and-conquer, dynamic programming, greedy, and others), We will review some graph algorithms (variants of shortest paths, maximum flow and stable marriage). Geometric algorithms (convex hull, closest point-pair) and other cool applications.

We will discuss some techniques for dealing with approximation algorithms and branch-and-bound algorithms. The emphasis is on learning algorithm design (the ability to synthesize correct and efficient procedures for new combinatorial problems), acquiring an algorithm repertoire (a toolbox of classic algorithms for well-solved problems), and applying algorithm reduction (the ability to reduce new problems to known problems from your repertoire).

These skills are developed through written assignments containing challenging exercises. Required text Thomas H. Cormen, Charles E. Leiserson, Ron L.

Solutions

Rivest, and Clifford Stein, McGraw-Hill, Boston. Optional text. Jon Kleinberg and Eva Tardos, Addison Wesley 2006.

The Algorithm Design Manual 2nd Edition

Skiena, The Algorithm Design Manual, Springer-Verlag, New York, 1998. Resources.

Schedule There are two exams. Midterm: Thu November 19 (review meeting would be on Tues November 17). Final: Thu 3:30-5:30 Grading 46% Homework grade 21% MidTerm exam grade 21% Final exam grade 12% Max( MidTermexamgrade, Finalexamgrade ) Grading Policies On homework, you are expected to think about and try to solve the problem for yourself. You may discuss general ideas with friends, but your solutions must be written up separately and represent individual work, and if ideas were developed during a collaborative discussion, list clearly with whom you brainstormed ideas. Use of solutions from previous offerings of the course (at UofA or any other university) is not permitted. Homework is due at the start of class; homework turned in once class begins is considered late. 5 points will be deducted per day for lateness, and late homework cannot be turned in after solutions have been discussed in class.

Use D2L to submit your homework. They should be.pdf files. You could use LaTeX, Word, Google Doc, etc, or you could write using your handwiting, scan and submit. It is your responsibility to verify that homework is legible. Please do not submit paper solutions.

Neatness, and especially conciseness, is required to earn the highest marks. If you cannot solve a problem, state this in your write-up, and write down only what you know to be correct; rambling at length about ideas that don't quite work may cause additional points to be deducted.

There are seven homeworks, which occur roughly after the conclusion of each of the chapters. The two homeworks with the lowest scores will be dropped from calculation of the final grade. University policy regarding grades and grading systems is available at link.

Grade Distribution for this course:​​​ A: ≥ 90% B: ≥ 80% C: ≥ 70%​ D: ≥ 60%​ E: ≤ 59% Failing the final exam might result in failing the course. Attendance Policy Attandance in classes is not mandatory. It is the student's responsibility to be aware of material discussed in class. Use of laptops and similar devices is allowed, but only to the level that your attention is focused on the discussion in class. The UA's policy concerning Class Attendance and Administrative Drops is available at link The UA policy regarding absences on and accommodation of religious holidays is available at link. A Dean's Excuse provides excused absences for university-sponsored events/activities for academic, non-academic, and recognized student organizations.

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Download The Algorithm Design Manual

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This is a problem from Steven Skiena's Algorithm Design Manual book. This is FOR HOMEWORK and I am not looking for a solution. I just want to know if I understand the concept and am approaching it the right way. Find two functions f(n) and g(n) that satisfy the following relationship. If no such f and g exist, write None. A) f(n)=o(g(n)) and f(n)≠Θ(g(n)) So I'm reading this as g(n) is strictly (little-oh) larger than f(n) and the average is not the same.

Algorithm Design Manual Homework Solutions Pdf Free Download

If I'm reading this correctly then my answer is: f(n) = n^2 and g(n) = n^3 b) f(n)=Θ(g(n)) and f(n)=o(g(n)) I'm taking this to mean that f(n) is on average the same as g(n) but g(n) is also larger, so my answer is: f(n)=n+2 and g(n)=n+10 c) f(n)=Θ(g(n)) and f(n)≠O(g(n)) f(n) is on average the same as g(n) and g(n) is not larger: f(n)=n^2+10 and g(n)=n^2 d) f(n)=Ω(g(n)) and f(n)≠O(g(n)) g(n) is the lower bound of f(n): f(n)=n^2+10 and g(n)=n^2 Now is my understanding of the problem correct? If not, what am I doing wrong? If it is correct, do my solutions make sense?

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