B is west of E. A is north-west of B. F is north-east of B. D is south-east of F, such that F is north-west of E and D is south-east of E as well. If C is south-west of E, what is the position of A with respect to E? (All positions are arranged in GRID pattern)

A

South-east

B

North-east

C

South-west

D

North-west