I don’t want to ruin the great surprise, so just go and check it out yourself! (Click the banner.)
Even though there will only be one winner, for the sake of mathletes everywhere, I hope that Sol, Quan, and Daniel publish all the submissions and solutions.
Continuous Everywhere but Differentiable Nowhere 
Sam,
Thanks very much for the plug. We’ll be using some of the submitted problems, and crediting the submitters of course, in future contests.
Sol