For round 2009 1A, problem A (Multibase Happyness): can it be inferred
that all bases are <= 10? I didn't think so from the way the problem
was posed, but the datasets seem to imply it. Mabye it could be
inferred from the word "digits"?

My initial naive algorithm failed on the large dataset. Now I made one
that caches the results per each task, but even that takes very long
(as the happy num for the second task is > 11000000 I think). So I
think I should probably cache over tasks and bases - that would be
easy to do if all the bases were <= 10, but would maybe make less
sense if bases could be arbitrarily large.

Presumably there is an even easier way, but I am too much out of
practice with mathematics atm to think about it :-)


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