LogFAQs > #878610846

Xuxon posted...

you can also be eliminated even if no one person is guaranteed to beat you so long as every possibility puts someone ahead of you, though i'm not sure if that could even happen in a contest this simple. and if it could, it might be overlooked.

That's pretty difficult to have happen in round 1, anyway, and obviously it has to look down the road at the next match regardless.

Scenario:

Guru X votes for A>B, C>D, next round A>C
Guru Y votes for B>A, C>D, next round B>C
Guru Z votes for B>A, C>D, next round C>B

If the three gurus have identical brackets everywhere else moving forward, and Guru X is no more than 2 points ahead of Y and Z when the first match starts, he will be eliminated by a result of B>A because even though he will retain a 1 point lead going into the following round, either Y or Z will move ahead of him unless D wins the fourpack. Which means, curiously, that he will be eliminated on a match he gets right, rather than one he gets wrong.

NewerShadow posted...

I have a test for this, but we don't really have the separation in brackets for it to come into play yet.

I'd be really curious to see your algorithm, if you don't mind. As I've indicated in other posts, this is a mathematical puzzle I've always just wondered about from an academic perspective, so I'd love to see how you handled everything.