TOURNAMENT UPDATE: ALIEN TECHNOLOGY BASE METHOD
It's come to our attention that the spreadsheet method (giant space rock + pink diamond + rainbow gem + palladium + plutonium) is different from the wiki (16 space rocks). The wiki version is considerably easier, but if you've already been pursuing the spreadsheet version, we're going to allow that too.

It also says you have to tour the medical centre. This is actually impossible; that option doesn't exist, and it has been removed.

http://ts3ac.wikispaces.com/Alien+Technology