<p>Let N be the number of consecutive 0s at the right end of the decimal representation of the product 1!2!3!4!...99!100!. Find the remainder when N is divided by 1000.</p>
<p>No AIME discussion for a little while, on public forums at least ;) (especially since there are dual problems of discussion and not citing the problem and exact wording here)</p>
<p>ok sorry, I wasn't aware of that.</p>