I might add the place I got this riddle from had been able (after years and years and many many people trying) to get the average run-time down to 3,500 days. Well, I think - I didn't check the forum for it all the way through, so it is possible someone did better. Even so, I believe I will beat that. And that is without using (or even knowing) their formulas. I also believe my formula is the best possible method.