Case 21: who took the Antique Violin?
A routine inventory at the theater has revealed that the Antique Violin, officially listed as being at the Box Office, is nowhere to be found. The insurance company won't pay a cent without a named culprit, so the pressure to solve this is real. Help the police unmask the thief.
The board
- 1Dressing Room
- 2Box Office
- 3Makeup Room
- 4Stage
- 5Rehearsal Room
- 6Costume Room
- 7Office
- 8Props Room
- 9Storage Room
- 10Private Box
- Seat: anyone can be on it.
- Shelf: no character can stand on its cell, but the stolen item can be there.
- Screen: nothing can be on its cell.
Suspects and clues
- DDiego
He's in row 2 and 3 columns away from the Private Box. - GGustavo
He's in row 5. - HHana
She's 1 column away from the Stage and in row 6. - LLucy
She's in column A. - FFatima
She's next to a shelf. - SSandra
She's in the Costume Room. - AAntique Violin (stolen item)
It's 4 rows away from the Office.
Remember the rules: no two suspects (nor the item) ever share a row or a column, each character is in a different room, and the thief is the only one sharing a room with the stolen item. Unsure? Read how to play and the clue types.
Solution
Try it yourself first: pen and paper are enough. When you want to check, open the reasoned solution.
Show the step-by-step solution
- Diego's clue: He's in row 2 and 3 columns away from the Private Box. It leaves a single cell: D2.
- Gustavo's clue: He's in row 5. 8 cells remain possible.
- Hana's clue: She's 1 column away from the Stage and in row 6. 2 cells remain possible: D6 and G6.
- Lucy's clue: She's in column A. 6 cells remain possible: A1, A2, A4, A5, A7 and A8.
- Fatima's clue: She's next to a shelf. 2 cells remain possible: H6 and H8.
- Sandra's clue: She's in the Costume Room. 4 cells remain possible: A1, B1, A2 and B2.
- The stolen item's clue: It's 4 rows away from the Office. It leaves a single cell: E7.
- Diego can only be on D2. No one else can be in row 2 or column D, and no other character can be in the Storage Room.
- D6 has already been ruled out, so Hana can only be on G6. No one else can be in row 6 or column G, and no other character can be in the Props Room.
- H6 has already been ruled out, so Fatima can only be on H8. No one else can be in row 8 or column H, and no other character can be in the Box Office.
- The Antique Violin can only be on E7. No one else can be in row 7 or column E.
- Every cell still open to Gustavo is in row 5, so no one else can be in that row.
- Every cell still open to Lucy is in column A, so no one else can be in that column.
- A1, A2 and B2 have already been ruled out, so Sandra can only be on B1. No one else can be in row 1 or column B, and no other character can be in the Costume Room.
- A1, A2, A5, A7 and A8 have already been ruled out, so Lucy can only be on A4. No one else can be in row 4 or column A, and no other character can be in the Makeup Room.
- A5, B5, C5, D5, E5, G5 and H5 have already been ruled out, so Gustavo can only be on F5.
Conclusion: Gustavo is the only person sharing the Stage with the Antique Violin, which is on E7. He is the thief.