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I just read that thing about the Aliens showing up with better gear sooner if you raid the crap out of people enough times. Was just wondering: The Cult of Sirius seems to have less stuff if you raid them frequently. Does it ever get to the point where they only have like one guy with a pistol or can you always expect at least six Cultists?

The class of alien ships that show up doesn't seem to be a reaction to your score so much as how well you're doing at shooting them down. I've noticed that if you don't shoot down a lot of the ships in the first week, the first alien invasion the second week is typically 2 Transports and 3 Fast Attack Ships. In my games where I've shot down every single ship in the first week it was 2 Transports and 2 Fast Attack Ships. Then if I shot all of those down, it would be like a mix of tranports and scouts Until the aliens finally got peeved and sent in something bigger a week later.

Anyway, for research advice, the biggest limitation to research is the advanced labs. All you need for Adv. Bio Labs is to research a single Brainsucker Pod (much faster research than any other living alien). For Adv. Q. Physics, you have to research one of the UFO parts from anything bigger than the UFOs you see in week 1. I think one of the three researches faster but I forget which. Easy enough to find out by saving/reloading. To get the Adv. Workshops, just research the probe after you've finished the other two UFO parts (navigation, propulsion, power source). I usually build an extra bio lab and two extra Q. Physics labs. Check for scientists at the beginning of each day, especially Q. Physics guys as it can sometimes be hard to get enough for the three labs by week 2, which is when you'll want them.

Personally, I don't really think Devastator Cannons are all that. Shortly after they come into play, the aliens will have personal shields so you'll want to be using stun weapons on them until you can get the Toxigun anyway. Although they do show up faster in Superhuman, I guess.