CIS603 S03: Homework 1

Assigned: Monday, Feb. 10, 2003
Due: Monday, Feb. 17, 2003, in the beginning of class

1. Exercises 1.11, 1.12, and 1.13, pg. 31 Russell and Norvig, 2nd Edition (RN)

(20 points) Provide brief arguments.

2. Problem 3.7, pg. 90, RN

(20 points)

3. Problem 3.17, pg. 93, RN

(20 points)

4. Answer the following questions:

(40 points)
  1. Give an example of a problem where hill climbing and best first search behave differently.
  2. Construct a finite search tree for which it is possible that depth-first search uses more memory than breadth-first search. Please highlight the goal nodes in your tree.
  3. Construct a problem and a formulation for it so that hill climbing is at least as good as breadth-first search, depth-first search, and best-first search.
  4. Describe a search space where depth-first iterative deepening performs much worse than depth-first search. How many nodes does each algorithm expand?


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