If Each Half of Your Brain Were Transplanted into Different

If each half of your brain were transplanted into different bodies such that each one is psychologically continuous with the original "you" Derik Parfit would say about your personal identity that

A) you would not be identified with either person and, hence, your personal identity would be lost.
B) your identity would be more continuous with only one of those persons.
C) your personal identity would be transplanted into both persons.
D) there is no true answer, for personal identity is a faulty notion.