chess tournament
n players partecipate at a chess tournament (single round-robin). Players
are granted one point (1) for a win, a half (½) point for a draw, and no
points (0) for a loss. There are a total of 1/2 n (n-1) points. At the
end, there are: a Winner (w points}, a Second (s points) and n-2 players
with the same score (d points). Of course 1/2 n (n-1) = w + s + (n-2) d.
How many partecipants can obtain this result?
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