Obviously I can't say 100%, but I would say that there is a 99.99999% chance you're going to be fine.

110 days is a long time.

Before getting my current job, I quit smoking for around 4 weeks and was pissing clean. At that point, I had been smoking daily for at least a year, somewhat heavily. I'm around 5'11", 190lbs and at that time, wasn't active much at all.