Assume the goal is changed, so that it is reached as soon as either one of the pills is eaten. Now reconsider: Is the Manhattan distance from Pac$-$Man to the farthest remaining pill still an admissible heuristic? Explain your answer to the previous question. A formal proof is not needed, but you must demonstrate that you understand the definition of admissible in order to support your claim. Also, note that simply because the Manhattan distance to a singular goal location in a navigation problem is admissible, that is not the same thing as saying the proposed heuristic for this problem is admissible.