{"action":"opened","issue":{"url":"https://api.github.com/repos/dserban/lambda2015summer/issues/3","labels_url":"https://api.github.com/repos/dserban/lambda2015summer/issues/3/labels{/name}","comments_url":"https://api.github.com/repos/dserban/lambda2015summer/issues/3/comments","events_url":"https://api.github.com/repos/dserban/lambda2015summer/issues/3/events","html_url":"https://github.com/dserban/lambda2015summer/issues/3","id":72663161,"number":3,"title":"Problema de logică","user":{"login":"dserban","id":400925,"avatar_url":"https://avatars.githubusercontent.com/u/400925?v=3","gravatar_id":"","url":"https://api.github.com/users/dserban","html_url":"https://github.com/dserban","followers_url":"https://api.github.com/users/dserban/followers","following_url":"https://api.github.com/users/dserban/following{/other_user}","gists_url":"https://api.github.com/users/dserban/gists{/gist_id}","starred_url":"https://api.github.com/users/dserban/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/dserban/subscriptions","organizations_url":"https://api.github.com/users/dserban/orgs","repos_url":"https://api.github.com/users/dserban/repos","events_url":"https://api.github.com/users/dserban/events{/privacy}","received_events_url":"https://api.github.com/users/dserban/received_events","type":"User","site_admin":false},"labels":[],"state":"open","locked":false,"assignee":null,"milestone":null,"comments":0,"created_at":"2015-05-02T15:52:47Z","updated_at":"2015-05-02T15:52:47Z","closed_at":null,"body":"Three players - Annie, Billy and Katie - each have a natural number written on their foreheads. Each player can only see the foreheads of the other two.\r\nThe following two things are common knowledge among the players:\r\n- One of the numbers is the sum of the other two.\r\n- One of the numbers is equal to exactly two thirds of one of the other numbers.\r\n\r\nAnnie, Billy and Katie tell the truth the whole time, without exception.\r\nEach player is also a perfect logician - anything that they could infer from the information and observations available to them, they instantly will.\r\nThe following truthful conversation may or may not take place:\r\n- Annie: I don’t know my number.\r\n- Billy: I don’t know my number.\r\n- Katie: I don’t know my number.\r\n- Annie: I now know my number, and it is 150.\r\n\r\nIs the above conversation plausible or not?\r\nIf yes, why yes? If not, why not?\r\nPlease explain your logical reasoning in the most detailed manner possible.\r\nYou will be evaluated according to the correctness of your logic as well as your ability to verbalize it eloquently.\r\n"}}