A country has two airfields with installations worth $ 2,000,000 and $ 10,000,000, respectively, of which it can defend only one against an attack by its enemy. The enemy, on the other hand, can attack only one of these airfields and take it successfully only if it is left undefended. Considering the “ payoff” to the country to be the total value of the installations it holds after the attack, find the optimum strategy of the country as well as that of its enemy and the value of the “ game.”