S1·E20 I Like Books, but Sing It, Great Submarine Castle

Hayate is searching for an ultimate attack and Maria suggests looking in the Sanzen'in library for hints. They find a book that teaches the Sanzen'in secret ultimate attack. After some training, Nagi finds out that Hayate is training for Hinagiku's sake and burns the book. Depressed, Nagi leaves the house at night where she meets Ayumu Nishizawa who challenges Nagi.