
Hungry Lions

There are 25 hungry and extremely smart
lions in a cage into which a portion of food is thrown. The following
rules, known by the lions as well, apply:
-
One portion of food can either fully be eaten by a lion or it can
remain untouched, but it cannot be shared between two or more lions.
-
If a lion eats the food, he gets satisfied and falls asleep.
-
A sleeping lion is considered as one portion of food, just the same
portion of food he has eaten. Thus, a sleeping lion can be eaten by
another lion (in which case that lion will fall asleep, and so on).
-
The lions are hungry, but they are fed properly, so they won't die
if they don't eat extra food.
-
All the lions like to eat extra food and they don't care if a fellow
dies in the process.
-
They are smart: a lion will not eat any extra food if it can be known
that he would be eaten if he ate it.
Question is: what happens when the
extra food is thrown in?

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