Twelve men are in a room, some of them always tell lies, while the others always tell the truth.
The first man says: "None of us is a truthteller."
The second man says: "At most one of us is a truthteller."
The third man says: "At most two of us are truthtellers."
The twelfth and last man says: "At most eleven of us are truthtellers."
Who are the liars?
Hint:It's OK to use trial and error, however, there might exist better methods.
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