The Clash of the Stories!

Hey I've got an idea! What if the Characters from Percy Jackson and Harry Potter went to the same school?
I think everyone would agree that Hermione and Annabeth would get along great. And that there would be rivals. And say everyone had to vote off someone in the school for doing something bad like ruining a tournament everyone was enjoying or setting someone's dorm on fire. Also let's not forget Percabeth
And Jasper! And how would Malfoy and Percy clash together? Everyone knows that there will be hot action!
How would the characters think once they here about each other's back stories? And just to think what would happen during class....