[Chris is me]

I love thinking about this kind of thing and I'll possibly come back later to contradict myself.

First things first, full court shooters aren't going to help here. There are a few (67, 148, 195, 2169, etc) that are accurate enough to be a part of this discussion, but with 45 + 6 discs, it's just too easy to get 11-12 cycles out of three good cyclers. Anyone who wants to contest this can go watch Einstein and IRI again. One could argue that an FCS will more efficiently feed a ground loader, but there aren't a ton of ground loaders that work as quickly as an optimized cycler even with a ton of discs on the ground.

Autonomous mode has to be covered. At least 13 discs for the alliance, which isn't hard to do. 15 discs is nice but I don't think it's absolutely necessary - I'll say it'll break a tie in this discussion but so many robots are good at covering the middle discs that it almost doesn't matter.

Climbing points are where the discussion gets interesting. Obviously an ideal alliance wants as many as possible - but the more climbers you have, the less end game cycling happens. There's also diminishing returns to a small extent on climbing, as only two robots need to dump. I think it's pretty reasonable to say the ideal alliance needs at least two thirty point climbers.

So let's see what robots we have to work with here. I'm assuming every robot is playing at their peak performance in season or IRI. I won't consider "a better driven version of Team XYZ" or anything like that though.

My first guess for an alliance would be 254, 1114, 67. 67 is *the* 50 point dump FCS - and they happen to be one of the most accurate and fastest FCSes in the world. A perfect fit for a floor loader like 254. 90 climb points, 30 pyramid points, all 45 white discs in the goal, and 13 discs in autonomous gets you 303 points. I won't really try and guess how many opponent discs they can go for without some very hard data on how effective these three teams are...

The other three-climber alliance that could possibly exist would be 1986, 1114, 1334. This alliance gives up full court shooting in exchange for quicker and more reliable cyclers. I don't think there's a doubt in anyone's mind that these three robots could each manage four cycles a match. 1986's floor pickup isn't stellar in teleop but it's good enough that they could probably manage to get a cycle of missed discs. Same point ceiling, different (probably safer) strategy. Plus this alliance has more of a "new school FRC" feel to it.

There are other non 30 point climbing bots that are so exceptionally good that they deserve consideration. 2056, 469, 1310, and 118 are all absolutely excellent robots at their peak and I believe all of them have had 90+ point contributions in a match before. The only way these teams could keep up is if they found 20 points (opponent missed discs, etc) that 254 / 1986 couldn't find. That said, if anyone could do that, it'd be 2056 and 469. That would be an interesting alliance, 1114 / 2056 / 1334... now where have I seen that before...