Artificial Intelligence: A Modern Approach
Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
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Chapter 3, Problem 2E

a.

Explanation of Solution

State space:

  • The coordinate space is defined in such a way that the center of the maze is at (0,0), and the maze itself is a square from (-1,-1) to (1,1).
  • Initial state: robot at coordinate (0,0), facing North.
  • Goal test: either |x|>1 or |y|>1 where (x,y) is the current location...

b.

Explanation of Solution

Size of state space:

  • The state first records the intersection at which the robot is currently located at, along with the direction its facing.
  • At the end of each corridor leaving the maze, users can find an exit node.
  • If assumed that some node corresponds to the center of the maze.
  • Initial state: at the center of the maze and facing north...

c.

Explanation of Solution

Robot’s orientation:

  • Initial state: at the center of the maze.
  • Goal test: at an exit node.
  • Successor function: move to next intersection North, South, East, or West.
  • Cost function: total distance moved...

d.

Explanation of Solution

State abstractions:

  • Ignoring the height of the robot off the ground, whether it is tilted off the vertical.
  • The robot can face only four directions.
  • Other parts of the world ignored: possibility of other robots in the maze, the weather in the Caribbean...

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