Read the following statements and choose the correct alternative.
(i) A is a north of E and west of C.
(ii) B is north of A and west of P.
(iii) D is south and east of A.
(iv) E is north of F and east of D.
(v) F is north D and west of A.
(vi) C is south of F and west of D.
Which of the following must be both north and east of F?
I. A II. C III. E
(A) II only
(B) III only
(C) I and II
(D) I and III