2022-7: Just Golfing Around

Apologies to the code golfers out there, but this problem has nothing to do with code golf! Instead, it addresses the problem of assigning places in a golf tournament. In regular golf, lower scores place higher – the lowest score places first and the highest score places last.

Write code that:

takes an argument that is a non-decreasing vector or scalar of strictly positive integers, representing a set of scores.

returns a numeric vector of the place for each score; for duplicate scores, it returns the average of the places they hold.