Demigods go to Hogwarts

Percy, Annabeth, Piper, Jason, Hazel, Frank, Leo, Nico, Will, and Thalia are sent on a quest to Hogwarts. Harry, Ron, and Hermione, as well as a few other students, have been invited to redo their final year. Will everything go according to plan or will jealousy and love get in the way? Disclaimer for the whole story...