Homework 2

Background: Ch. 33.2, 2.1, 4.1, 4.2, 4.3.

Due September 18th:

• 2.1 CLR Exercise 33.2-4 (pg 813).
• 2.2 CLR Exercise 2.1-2 (pg 31). Use the definition of big Theta, not the normal-form rules.
• 2.3 CLR Problem 2-3 (a) (pg 38-39).
• 2.4 Derive normal-form rules (like those for multiplication and addition) for minimization and logarithm.
• 2.5 Give a proof for the solution of T(1) = 1, T(n) = n + T(n/2) (not using Master Method).
• 2.6 CLR Exercise 4.1-5 (pg 57).
• 2.7 CLR Exercise 4.3-1 (pg 64).
• 2.8 CLR Problem 4-1 (pg 72).
• 2.9 CLR Problem 4-4 (pg 73-74).

Note: ``justification'' does not have to be a formal proof.