# Question: Suppose that an agent is in a 3 x 3

Suppose that an agent is in a 3 x 3 maze environment like the one shown in Figure. The agent knows that its initial location is (1, 1), that the goal is at (3, 3), and that the four actions Up, Down, Left, Right have their usual effects unless blocked by a wall. The agent does not know where the internal walls are. In any given state, the agent perceives the set of legal actions; it can also tell whether the state is one it has visited before or a new state.

a. Explain how this online search problem can be viewed as an offline search in belief state space, where the initial belief state includes all possible environment configurations. How large is the initial belief state? How large is the space of belief states?

b. How many distinct percepts are possible in the initial state?

c. Describe the first few branches of a contingency plan for this problem. How large (roughly) is the complete plan?

Notice that this contingency plan is a solution for every possible environment fitting the given description. Therefore, interleaving of search and execution is not strictly necessary even in unknownenvironments.

a. Explain how this online search problem can be viewed as an offline search in belief state space, where the initial belief state includes all possible environment configurations. How large is the initial belief state? How large is the space of belief states?

b. How many distinct percepts are possible in the initial state?

c. Describe the first few branches of a contingency plan for this problem. How large (roughly) is the complete plan?

Notice that this contingency plan is a solution for every possible environment fitting the given description. Therefore, interleaving of search and execution is not strictly necessary even in unknownenvironments.

## Answer to relevant Questions

In this exercise, we will explore the use of local search methods to solve TSPs of the type defined in Exercise 4.8.a. Devise a hill-climbing approach to solve TSPs. Compare the results with optimal solutions obtained via ...Explain why it is a good heuristic to choose the variable that is most constrained, but the value that is 1act constraining in a CSP searchShow how a single ternary constraint such as “A + B = C” can be turned into three binary constraints by using an auxiliary variable. You may assume finite domains. Next, show how constraints with more than three ...Consider the following procedure for choosing moves in games with chance nodes;• Generate some die-roll sequences (say, 50) down to a suitable depth (say, 8).• With known die rolls, the game tree becomes deterministic. ...Describe the wumpus world according to the properties of task environments listed.Post your question