{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# exer7 - CMPT 307 Data Structures and Algorithms Exercises...

This preview shows page 1. Sign up to view the full content.

CMPT 307 — Data Structures and Algorithms Exercises on Divide and Conquer. Due: Thursday, November 19th (at the beginning of the class) Reminder: the work you submit must be your own. Any collaboration and consulting outside resources must be explicitly mentioned on your submission. 1. Recall the problem of finding the number of inversions. As in the class, we are given a sequence of n numbers a 1 , . . . , a n , which we assume are all distinct, and we define an inversion to be a pair i < j such that a i > a j . We motivated the problem of counting inversions as a good measure of how different two orderings are. However, one might feel that this measure is too sensitive. Let us call a pair a significant inversion if i < j and a i > 2 a j . Give an O ( n log n ) algorithm to count the number of significant inversions between two orderings. 2. Suppose you are consulting for a bank that is concerned about fraud detection, and they come to you with the following problem. They have a collection of n bank cards that they confiscated, suspecting them of being used in fraud. Each bank card is a small plastic object,
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern