CMSC 441, Spring 1997

Homework Assignments

Homework 1, Due Thursday February 6.

• Exercise 1.3-7, page 16.
• Problem 2-2, page 38.
  Briefly justify your answers for each case. For part d, provide a full proof.
• Problem 2-4, parts a, b and e, page 39.

Homework 2, Due Thursday February 13.

• Problem 4-1, page 72.
  In the cases where you use the Master Theorem, clearly state which case you are using and the asymptotic bounds on T(n).
• Problem 4-2, page 73.
• Problem 8-3, page 169.

Homework 3, Due Thursday February 20.

• Exercise 7.3-3, page 147.
  If you cannot solve the general case, work on the special case where the heap is a full binary tree (i.e., n is of the form 2^k - 1 for some integer k).
• Problem 7-1, page 152.
• Problem 8-4, page 169.

Homework 4, Due Thursday March 6.

• Exercise 9.2-2, page 177.
• Exercise 9.3-4, page 180.
• Problem 9-2, page 184.

Homework 5, Due Thursday March 13.

• Exercise 10.3-1, page 191.
• Exercise 10.3-7, page 192.
• Exercise 12.3-2, page 232.

Homework 6, Due March February 20.

• Exercise 14.3-3, page 272.
• Problem 14-1, page 278.
• Problem 16-2, page 325.
  Your project will be based upon this problem.

Homework 7, Due April 3.

• Exercise 16.3-3, page 319.
• Exercise 16.3-5, page 319.
• Problem 16-3, page 325.

Homework 8, Due Thursday April 17.

• Exercise 22.1-3, page 443.
• Exercise 23.2-6, page 476.
• Problem 23-1, page 495.

Homework 9, Due Thursday April 24.

• Exercise 23.4-2, page 487.
• Exercise 23.5-4, page 494.
• Problem 23-3, page 496.

Homework 10, Due Thursday May 1.

• Problem 24-1, page 511.
• Exercise 25.2-2, page 531.
• Exercise 25.3-6 page 536.