On a picnic outing, 2 two-person teams are playing hide-and-seek. There are four hiding locations (A, B, C, and D), and the two peoples of the hiding team can hideseparately in any of the four locations. The other team will then have the chance tosearch any two locations. The searching team gets a bonus point if they search bothmembers of the hiding team. If they miss both, they lose a point. Otherwise, the outcome is a draw.a. Set up the problem as a two-person zero-sum game.b. Determine the optimal strategy and the value of the game