The Swiss system takes at most n rounds to find a clear winners in a field of 2 powers n players but usually, with a normal number of draws, a clear winner can be found in 2 powers n-1 rounds. For every position other the the first one that must be clearly defined, two more rounds are required. Source, the obsolete FIDE Organisers Handbook. With the small turnout at both our Zonals, we can say that the second player has been reliably determined.