How to build a facet map in Bitrix?

Question

1C-Bitrix

Colleagues, perhaps someone has already encountered a problem, please tell me the solution:
there is a service catalog and a facet for 3 properties (for example, course, place and cause), a typical smart.filter generates addresses like /catalog/f/ courses-is-somecourse/a/, /catalog/f/causes-is-cause1/a/ etc. and their intersections /catalog/f/courses-is-supercourse/causes-is-cause234/a / etc.
Question: how to get all similar addresses with all possible intersections to form a directory map ? Simply enumeration of all values ​​of all properties is not suitable, because you can get combinations for which there are no elements.