There is an island with infinite grass and vegetation. The island is inhabited by 1 sheep and n lions. The lions can survive by eating the sheep or vegetation, but they prefer to eat the sheep .
The catch is that, when a lion eats the sheep, it gets converted into a sheep itself and then can in turn be eaten by other lions. The lions want to eat the sheep, but not at the risk of being eaten themselves.
What is the number of n for which the sheep will be safe?
Hint: A lion will eat a sheep, only if there is no chance of it being eaten by any other lion when it is converted into a sheep.