As stated before, 20 was just used as an example. What about 15? What about 10? Or even what about the crazy number of 5?
Either way, it's not worth discussing because we have been told that we three options:
2 castles
3 castles
4 castles
Pick your category and start arguing.
It might be the same old problem with the same three solutions, that end up reproducing the same old problem, but it's the only option that we are given. It's not a question of what is the right answer, it's a question of which one of our three options suck the least?