When world's collide (Harry Potter×Pjo and HOO)

How will Annabeth Chase, Percy Jackson, Nico Di Angelo, Reyna Ramírez-Arellano, Will Solace, Jason Grace, Piper McLean, Hazel Lavesque, Frank Zhang, and Leo Valdez react to the existance of wizards? More importantly how will they react when they are told they have to travel back in time to help the wizarding world? Unfortunately for these demigods every quest comes with a prophecy that has to be fufilled.

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Disclaimer : I do not own the rights to Percy Jackson and the Olympians, Hereos of Olympus and Harry Potter. All rights go to Rick Riordan and J.K Rowling.