Five students A, B, C, D and E attend five different schools S1, S2, S3, S4 and S5 (not necessarily in the same order). Each also likes a different subject namely D1, D2, D3, D4 and D5 (not necessarily in the same order). A goes to S5 but does not like D3. C likes D4. The one who goes to S1 likes D5. D goes to S3. E does not like D5. The one who goes to S2 likes D1.

Which of the following statement is correct?

I. B likes D5.

II. C goes to S4.