Looking to copy value down across blank cells until it hits another non blank value

I feel like I'm close, but I'm looking to solving this, but I'm trying to generate an output that looks like the preferred output tab (so student 1 next to each of their classes and the code next to that class). Compounding issues, students could be taking anywhere from 1 class, to 5.Data comes like this:

Ideally the data should ignore empty lines between data sets and output like this:

Using some interwebz searching I think the solution might be related to a vlookup and row arrays, but my indices on the lookup aren't really outputting what i want

Here's a sample portion of the sheet with names obfuscated.

Any help would be greatly appreciated!!!