In Tautostadt there are only nobles and liars. Each sentence that is spoken by a noble is true. Each one that is spoken by a liar is false. One day some of them meet in a room and three speak as follows:
The first one says: “There are no more than three in this room. We are all liars.”
The second one says: “There are no more than four in this room. We are not all liars.”
The third one says: “In this room, we are five. Three of us are liars.”
Answer:
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