c++ shared_ptr> initialized with different comparison function, any way?

if I have a field in class like below,

class MyClass {
public:
    shared_ptr<map<int, int>> my_map;
}

The default map<int,int>'s comparison function is less<int>, but I would like to initialize my_map as

my_map = make_shared<map<int, int, greater<int>>();

sometimes,

This doesnt compile, what other way I can have a shared_ptr<map<int, int>> that in two different object of MyClass, one has less<int> and the other have greater<int> so that the my_map in each object is sorted differently?