ACT Score Needed For Top Tier

Obviously, a student who got a 36 might get denied at any given Ivy League school. I understand that. However, is there a score where you can 100% say that if you did not get into an Ivy League school, that score was not the reason why. I’m thinking its around 33 and 34. Thoughts?

Without know about the rest of the application, I would say 34.