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## Location: Josephus Miller

- To start off, look for hints from the same suspect that are contradictory.
- If you find two contradictory hints, then the third hint must be true.
- Suspect 1's first clue refers to Romeo and Juliet. Since both R and J have curved lines, 1 and 3 cannot both be true. Therefore the fourth letter must be M.
- Since we know the fourth letter is M, Suspect 3's second hint must be a lie (M has vertical symmetry). Therefore Suspect 3's first and last hints are factual.
- The most common letter in the English language is 'E', so the final letter is an 'E'.
- This means Suspect 1's first hint is a lie, and therefore the third hint is factual.
- Suspect 2's second hint can only give three letter pairs: I/T, A/E, and N/E.
- Suspect 2's third hint says the third letter must be a consonant. This theoretically rules out A/E and leaves N/E and T/I (placing the consonant in the third space).
- However Suspect 3's third hint is known to be factual, and says the 6th letter must be
**between** N and V, which means that Suspect 2's second and third hints are in conflict. Therefore Suspect 2's first hint is factual.
- Suspect 4's first hint refers to O and S.
- The numerical values of O and S would make it impossible for the letters in spaces 1/2/5 to add to 16. Therefore Suspect 4's first hint is a lie.
- If Suspect 4's first hint is a lie, then the second and third hints must be factual.
- If Suspect 4's third hint is factual, then Suspect 2's third hint is a lie, and therefore Suspect 2's second hint is factual.
- All four lies are now known (Suspect 1-1, Suspect 2-3, Suspect 3-2, Suspect 4-1).
- Combining Suspect 2's second hint (I/T, A/E, and N/E) with Suspect 3's third hint and Suspect 4's third hint leaves only one possibility - I/T.
- Lima is the capital of Peru, therefore the second letter is 'L'.
- 'L' has a value of 12 in the context of Suspect 2's first hint. That leaves 4 remaining for letters 1 and 5.
- The only possible combinations to add to 4 are A/C, B/B, and C/A.
- Suspect 1's third clue says the first letter is the only one without straight lines.
- CLIMATE