A, B, C, D, E and F live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it, number 2, and so on, till the topmost floor is numbered 6. E lives on an odd-numbered floor but not on floor number 5. Only one person lives between E and C. D lives immediately above F. B lives on a lower floor than C. A does not live on the topmost floor. Who lives on the topmost floor?