Question 8
Each of $n$ Robin Hoods ($n \ge 3$) robbed some coins. Together they have earned $100n$ coins. They have decided to cut the loot in a following way: in one step one Robin can take his two coins and give to some other two Hoods, one coin each. Find all positive integers $n \ge 3$ for which they can split the loot in equal parts ($100$ coins each). (Ján Mazák)