Problem 2 Answer: "Too Many Men on the Playing Field"

With the main character's 100 points, he can have 2^16 100 point followers (20 points for one-fifth of the point value plus 80 points for 16 doublings). Each of these followers can have 2^16 duplicates (also 20 points for one-fifth of the point value plus 80 points for 16 doublings.) Thus the main character can field a total of 2^32 + 2^16 + 1, or a little over four billion, units.