frames, so that when you evict a physical page from its frame, you can
invalidate its translation(s).
+It is possible to do this translation without adding a new data
+structure, by modifying the code in @file{userprog/pagedir.c}. However,
+if you do that you'll need to carefully study and understand section 3.7
+in @bibref{IA32-v3}, and in practice it is probably easier to add a new
+data structure.
+
@item
Some way of finding a page on disk if it is not in memory. You won't
need this data structure until problem 3-2, but planning ahead is a