Blue Eyes Puzzle Math

He looks around and sees no one else and knows he should leave.

Blue eyes puzzle math. As far as he knows the totals could be 101 brown and 99 blue. They are all perfect logicians if a conclusion can be logically deduced they will do it instantly. If f n f n 1 then it s a jackpot and everyone cuts down the same number of days. Since he knows that at least one person has blue eyes he must conclude that it is he who has blue eyes.

So any given blue eyed person can see 100 people with brown eyes and 99 people with blue eyes and one with green but that does not tell him his own eye color. If there are n blue eyed people these blue eyed people will cut down f n 1 days while those without blue eyes will cut down f n ge f n 1 days. The hardest logic puzzle in the world a group of people with assorted eye colors live on an island. On this island there are 100 blue eyed people 100 brown eyed people and the guru she happens to have green eyes.

Theorem 1 if there is one blue eyed person he leaves the first night. They will each realize that if i don t have blue eyes hypothesis 1 then that guy is the only blue eyed. One more fucking day. Exactly one person has blue eyes the blue eyed person should look around and realize that no one else has blue eyes.

If you don t have blue eyes you see 100 people and they all leave 100 days after the announcement. You blue eyed bastards. Case c 2. Case c 1.

Varphi 2 if one of you has green eyes the other has blue eyes and if one of you has grey eyes the other has brown eyes and if neither of you have green or grey eyes then varphi 1 suppose i m one of the islanders and i can see blue eyes then i know that i have either green or brown eyes. Exactly two person has blue eyes.