# Professor Knowfair's square dissection assignment

While at the public library with professor Knowfair, he also told me his plans for this week's assignment. He said:

Dissecting a triangle is all fine and dandy, but squares are the real deal. For next week's assignment, I'm going to ask the $n$-th student to dissect a square into $n$ equal-area triangles.

You can't help but wonder: this time, is the professor fair? How many students will be able to complete their tasks?