Eight girls A, B, C, D, E, F, G and H are sitting in a row facing north (not necessarily in the same order). Four girls sit between D and H. Two girls sit between H and B. G sits third to the left of A. E is the neighbor of D. F sits third to the right of C. B sits immediate left of A. Which of the following statement is correct?

I. C and E sit at the extreme ends.

II. Two girls sit between B and C.