The 3 great empires were the Mughal, Ottoman, and the Safavid empire.
Answer:
I am almost certain that the answer is as follows:
Country A: Confederation (because the states have final authority, but they are all in alliance together with some form of a central government)
Country B: Federation (because the central government has final authority, but there is still a collection of states).
Hope this helps!
Should be christopher columbus