Give a complete problem formulation for each of the following problems. You are not restricted by any formalism, but you should make sure that your formulation is sufficiently precise so as to be implementable. So for example, you can use specify your problem formulation in terms of Initial State, Goal State, Subroutines, Cost/Utility Function, etc. a. Using only four colors, e.g., Red, Blue, Green, Yellow, explain how your would color the 48 continental U.S. states shown below, such that no adjacent states have the same color. b. Suppose there is a room whose ceiling is 8-foot high, and there is a 3-foot tall monkey in that room. In this room, some bananas are suspended from the ceiling, and there are also two stackable, movable, climbable 3-foot high crates. Let us simplify all our assumptions; e.g. that the monkey's highest reach is its own height, that the monkey is strong enough to lift either crate, etc. Explain how the monkey would go about getting the bananas