Petals Around the Rose: Fraternity Register

Man, I must be some kind of bonehead! I came up with an algorithm (mental, not coded) that solved it, after about an hour of studying the examples in the article, and completely ignoring the name. It required a bunch of addition and subtraction (for those reading this who don't know the answer yet, my approach is killing an ant with a nuke). Then, when I tied the name back in, it became pretty apparent how people could get it so fast.