Colonel Blotto is a well-known game in military strategy.† Here is a version of this game: Colonel Blotto has four regiments under his command, while his opponent, Captain Kije, has three. The armies are to try to occupy two locations, and each commander must decide how many regiments to send to each location. The army that sends more regiments to a location captures that location as well as the other army's regiments. If both armies send the same number of regiments to a location, then there is a draw. The payoffs are one point for each regiment captured and Captain Kije earns two points for each location captured, while Colonel Blotto earns only one point for each location captured. Find the optimum strategy for Colonel Blotto.