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I would question this point.The captain voting is a subjective choice, not an objective one. And the first in the voting is not necessarily the first in the ranking. A simple example – me. I participated in two team tournaments, in one I was captain #1, and in the other, captain #3, although my ranking was clearly far from the top 3. The same hypothetical Gomunguls and LuckyF, based on the voting, could be the opposite, 20 and 1, respectively. Therefore, the spread of captains can be considered partially random. This makes your calculations incorrect, or rather, the opposite, and the balance provides an even number of choices (not players). IMHO
The funniest thing is that I wrote the same thing to Roger yesterday in ICQ.
And my calculations turned out to be the same, simply based on logic, even without mathematical justification, as Silence's (he's great!).

