Here is a full solution to the logic puzzle.
- Asilata has to be in row 6. Because of Ruthi, she must be in column 1, 2, or 3. Because of Chris, she can only be in column 2 or 3.
- Chris has to be in row 4. Because of Asilata, he must be in column 1 or 2.
- This shows that column 2 has to be occupied.
- Don has to be in row 5 (and column 1 or 2).
- Jeff must be in row 4, 5, or 6, and in column 1, 2, or 3. In fact, he can only be in one of four different positions: (r6, c1), (r6, c2), (r5, c2), or (r5, c3)
- Because of Sachi, he can't be in (r6, c1). So Jeff must be in either (r6, c2), (r5,c2), or (r5,c3)
- Kevin is in Row 1, and in an empty column.
- Misha is in either row 2 or row 3, in an empty column.
- Nancy is in either row 2 or row 3. She's in Jeff's column, so she's in column 2 or 3.
- Pesto is in either row 3 or row 4, and has to be in column 3, 4, or 5. This constrains Misha's column to 3, 4, or 5.
- Sachi's position is constrained to one of (r6, c1), (r5, c3), or (r5, c4). This constrains Kevin's column to 1, 3, or 4.
- If Sachi were in (r6, c1), then Kevin would be in (r1,c1), and this would be a contradiction because of Sam. So Sachi and Kevin cannot be in column 1, and Jeff cannot be in (r6, c2).
- Steve must be in either (r1, c2) or (r1, c3).
- Tim! cannot be on the left edge: there aren't enough people there.
- This fixes Chris' position to be (r4, c2), and fixes Don, Asilata, Jeff, Sachi, and Ruthi accordingly.
- Now Kevin must be in (r1, c4), Steve must be in (r1, c3), Sam must be in (r3, c2), and Nancy must be in (r3, c3).
- This means that Misha must have been in row 2. Because of Pesto, he has to be in (r2, c5), and Pesto has to be in (r4, c5).
- Finally, Tim! has to be in (r3, c5).
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Steve |
Kevin |
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Misha |
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Sam |
Nancy |
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Tim! |
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Chris |
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Pesto |
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Don |
Jeff |
Sachi |
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Asilata |
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Ruthi |
Finally, we can convert each row to binary based on whether or not the seat is occupied.
This gives us the numbers 6, 1, 13, 9, 14, and 5, which spells out FAMINE.