Daeun draws a unit circle centered at the origin and inscribes within it a regular hexagon A B C D E F. Then Dylan chooses a point P within the circle of radius 2 centered at the origin. Let M be the maximum possible value of |P A| \cdot|P B| \cdot|P C| \cdot|P D| \cdot|P E| \cdot|P F|, and let N be the number of possible points P for which this maximal value is obtained. Find M+N^{2}.