Hey lessless: is that Cactus in Kiev?  Sounds like a movie title.

You do have the 3 basic ingredients for good cactus mix: sand, soil, crushed gravel/brick.  As has been stated here, everything else is fine-tuning.  A little vermiculite won't hurt, and could help with water retention.  But the extra things I like to add are a small amount of agricultural lime (it fertilizes and naturally acidifies the soil) and worm castings  (probably mucho Hyrvnias where you live) or seasoned cattle manure.  I know a professional cactus grower who uses 50% manure in his mixture and he gets incredible results here in southern California.  It's easy, even my dog grows cactus - here's Juul himself checking out his formulas.