Question

Suppose you are designing an artificially intelligent wall painting robot. The wall is divided into 144 squares in a 12 x 12 grid design. The robot can paint a single square in a singular action. It then moves the hand to the next square and prints. The job is finished when the whole wall is painted. Give a formal description of this problem as a search problem. What is the size of the state space?

Answer 1

The problem is described as a search problem, with an initial state, actions, goal state, transition model, and cost. The size of the state space is 2^144.

Step-by-step explanation:

The formal description of the wall painting problem as a search problem is as follows:

• The initial state: an empty wall with all squares unpainted.
• The actions: paint a single square and move the hand to the next square.
• The goal state: a fully painted wall.
• The transition model: each action (painting a square and moving) leads to a new state.
• The cost: the number of actions taken.

The size of the state space can be calculated by considering the number of possible configurations of the wall. Since there are 144 squares and each square can be in one of two states (painted or unpainted), the size of the state space is 2^144, which is an extremely large number.