COP 4531: Lecture 5

Learning objectives

After this class, you should be able to:

1. Given a recurrence, solve it using the recursion-tree method, and prove the correctness of your solution using induction, if necessary.

Reading assignment

1. CLR: Section 4.2.
2. CLR: Chapter 4, page 77.

Exercises and review questions

• Questions on current lecture's material
  1. Exercise 4.2-1.
  2. Exercise 4.2-2.
  3. Exercise 4.2-3.

• Questions on next lecture's material
  1. Draw the first three levels of the recurrence tree for each of the following recurrences: (i) T(n) = 3 T(n/b) + f(n), and (ii) T(n) = 4 T(n/b) + f(n).