- Consider a village with demons and a sleeping man(who never wakes up).
- Note that a demon can eat the sleeping man, but after eating him, the demon falls asleep.
- Similarly, any demon can eat any other sleeping demon, and this process repeats.
- Assume that the demons are very smart and would always choose to stay alive than to eat the man and risk their lives.
- Initially, there are 65 demons and 1 sleeping man. What would happen in the village?
Below given are few simpler cases for a better understanding of the above-given problem statement:
Case 1: 1 Demon and a sleeping man
In this case, the demon will eat the sleeping man. As demon knows, there is no one to eat him.
Case 2: 2 Demon and a sleeping man
- Nothing will happen in this case.
- If any of the demons eat the sleeping man, then the demon knows that the remaining demon will kill him.
- So both the demons would decide not to eat the sleeping man.
Case 3: 3 Demon and a sleeping man
- In this case, one of the demons would eat the sleeping man.
- As demon knows that the remaining 2 demons would choose not to eat him.
- As it would make them unsafe(consider case 2).
Case 4: 4 Demons and a sleeping man
- In this case, nothing will happen.
- All the demons will choose not to eat the sleeping man as they know that any of the remaining 3 demons would eat him.
- From the above 4 cases, it can be concluded that, if there are an odd number of eaters and one sleeping target(be it man or demon). The demon will decide to eat the target.
- If there are even several eaters then nothing will happen because if the demon eats the target then he would become the target.
- In the given problem, there are 65 demons(odd number of eaters). Therefore, one demon eats the sleeping man and nothing happens thereafter.