Problem 51246. Characterize the final state of another digit inventory sequence
Chris, we agree on everything except cases 11, 13 and 14. In those, I get a value of n that is smaller by 1.
I think the problem is in line 20 of your code. Notice that we agree except for the cases with period 1. I checked that our codes produce the same terms for cases 1 and 11.
Thanks Chris. You wrote very clearly that n was to be the 'start' of the periodic behavior, counting the initial seed as n=1, but somehow I took it to be something else. That's an interesting discovery about the final term. I tried 100,000 random seeds up to 12-digits and didn't find anything other than the two final values you mention.
I thought about possible final values because there's a constraint on the digits of terms after the initial seed. I haven't been able to think up another possible final state. Are there only two final states?
Oops - meant to hit run function and hit submit. I only had run it with '53'; turns out I DID need that eleventh element on the bins. I could swear I got 11 bins when I did 48:58 earlier.
Problem Recent Solvers9
Find the alphabetic word product
Project Euler: Problem 8, Find largest product in a large string of numbers
Convert Roman to Arabic Numerals
More from this Author190
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!Start Hunting!