So at a high level, you need the ranking because you need to do computations on individual elements of the set (e.g. random samples) to refine the estimate. Whi

So at a high level, you need the ranking because you need to do computations on individual elements of the set (e.g. random samples) to refine the estimate. Which is not necessary in a lot of ordinary combinatorics problems, but is here because this one is so hard. Cool, thank you! I can imagine this project being of interest in the seminar of the right university department.