C++ :: Obtaining Pointers To Represent Each Branch In Hierarchy?

My program has a large version of this, where every leaf class is singleton, and pointers of the base class to represent each possible path are stored in a map during compile time. I have it working as follows:

#include <iostream>
#include <string>
#include <map>

[Code].....

But System::initializePrototypes() is constructing the map manually, and I want to use recursion somehow, because my hierarchy is much bigger than this. It's also easy to miss a path doing it the above way, and when new classes are added to the hierarchy, it will be a nightmare to update the map. So the ideal solution is recursion constructing the map perfectly--and when new classes are introduced, nothing needs to be added to System::initializePrototypes().