Is the Manhattan distance from Pac$-$Man to the farthest remaining pill a consistent heuristic? Recall that your goal is to eat both pills. Explain your answer to the previous question. A formal proof is not needed, but you must demonstrate that you understand the definition of consistent in order to support your claim. Also, note that simply because the Manhattan distance to a singular goal location in a navigation problem is consistent, that is not the same thing as saying the proposed heuristic for this problem is consistent.