it's not actually a contest in that way. It's a sweepstakes. THey'll continue giving out hints through mid-November and anyone who figures it out between now and then will have their name thrown in a hat (figuratively, of course) and Alienware will draw a winner.
seriously, the entire message is going to be leaked soon and 100,000 ppl. are going to be in the drawing for the trip.
that is, if Alienware will let anyone enter If the other entrants are having the same problems that the NBF entrants are having, then the contest is going to end up being won by "John Doe in the Alienware IT department"