Ah, I think you do have a point on anti-climactic, as when I got it, I was kinda thinking, is that all? For predictability though, I don't think that's a problem here, as the process is the whole point, more so than finding an answer.
I'm not sure which way is better, that's a tough call. More satisfying to have a sensible backwards answer, but also more satisfying to have a significant final answer.