>
> Igor (the problem author) did that too, but without the panic since he had
> a little more time. :-)
>
> Yes, I actually implemented a complicated Dynamic Programming solution, in
rational numbers, with BigInteger. It had an exponential running time. And
then I spend a long time looking for the bug, when I saw that the answers
were always coming out as integers.

Of course, it didn't help that there were no input limits given to me, so I
did not know whether there was a polynomial-time solution or not.

David Arthur was actually first to formally prove that the simple solution
was always correct. He wrote the problem analysis.

igor

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