C++: Create integer vector of infinities

I'm working on an algorithm and I need to initialize the vector of ints:

std::vector<int> subs(10)

of fixed length with values:

{-inf, +inf, +inf …. }

This is where I read that it is possible to use MAX_INT, but it's not quiete correct because the elements of my vector are supposed to be greater than any possible int value.

I liked overrloading comparison operator method from this answer, but how do you initialize the vector with infinitytype class objects if there are supposed to be an int?

Thank you.