I think the point of the contest is to spur innovation and fresh ideas in a system that's clearly lacking in that department, not just to build a simple "scheduling app"
Its all pointless, unless they scrap the legacy crap build a new system piecemeal. It is the legacy crap that has the current system snafu. I'm a vet and I can tell you this is a waste of yours and my time without a total solution that asses the system as it exists now, throws away what sucks and is broken, and build anew.