Design a rational agent for a robot that searches through a room in Grid$-$Space World until a wall outlet is discovered.

The room is rectangular, and is assumed to contain no obstacles. An infrared sensor

attached to the outlet indicates when the robot has reached this location. Once the

outlet is found, the agent should plug itself into the wall $($and stop searching for an

outlet!$).$

A photoelectric sensor on the front of the robot carriage indicates when the agent is facing a wall. The simple motor attached to the unit can move forward, or turn either $90$ degrees to the left or right.

a$)$ Completely detail the environment for the problem above.

b$)$ Construct a mapping from percept to action $($design the agent function$).$