Case 13: who took the Ceremonial Waraji?
The guard on duty at the theater admits, a little embarrassed, that he dozed off for ten minutes. When he woke up, the Ceremonial Waraji, resting in the Props Room, was gone. He swears he doesn't snore that loudly. Help the police unmask the thief.
The board
- 1Props Room
- 2Costume Room
- 3Stage
- 4Dressing Room
- 5Rehearsal Room
- 6Lobby
- 7Café
- 8Makeup Room
- 9Office
- Plant: no character can stand on its cell, but the stolen item can be there.
- Seat: anyone can be on it.
- Shelf: no character can stand on its cell, but the stolen item can be there.
- Table: nothing can be on its cell.
- Screen: nothing can be on its cell.
- Window: the blue line on a wall.
Suspects and clues
- SSven
He's next to a plant. - AAisha
She's in row 6. - FFatima
She's right next to the Lobby and next to a wall. - TTariq
He's in the Café. - PPriya
She's in column B. - OOmar
He's 2 rows away from the Café. - CCeremonial Waraji (stolen item)
It's 6 columns away from the Costume Room.
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
- Sven's clue: He's next to a plant. 2 cells remain possible: F3 and G4.
- Aisha's clue: She's in row 6. 7 cells remain possible.
- Fatima's clue: She's right next to the Lobby and next to a wall. 12 cells remain possible.
- Tariq's clue: He's in the Café. 6 cells remain possible: E1, C2, D2, E2, F2 and E3.
- Priya's clue: She's in column B. 6 cells remain possible: B1, B2, B3, B4, B6 and B7.
- Omar's clue: He's 2 rows away from the Café. 3 cells remain possible: D4, F4 and E5.
- The stolen item's clue: It's 6 columns away from the Costume Room. 2 cells remain possible: G3 and G4.
- There are as many suspects (counting the item) as columns, so each column holds exactly one. Only Aisha can still reach column A, so that is where she must be.
- B6, C6, D6, E6, F6 and G6 have already been ruled out, so Aisha can only be on A6. No one else can be in row 6 or column A, and no other character can be in the Rehearsal Room.
- There are as many suspects (counting the item) as rows, so each row holds exactly one. Only Fatima can still reach row 7, so that is where she must be.
- There are as many suspects (counting the item) as rows, so each row holds exactly one. Only Omar can still reach row 5, so that is where he must be.
- D4 and F4 have already been ruled out, so Omar can only be on E5. No one else can be in row 5 or column E, and no other character can be in the Lobby.
- Every other cell the clue allowed has already been ruled out, so Fatima can only be on D7. No one else can be in row 7 or column D, and no other character can be in the Office.
- There are as many suspects (counting the item) as rows, so each row holds exactly one. Only Priya can still reach row 1, so that is where she must be.
- B2, B3, B4, B6 and B7 have already been ruled out, so Priya can only be on B1.
- There are as many suspects (counting the item) as columns, so each column holds exactly one. Only Tariq can still reach column C, so that is where he must be.
- E1, D2, E2, F2 and E3 have already been ruled out, so Tariq can only be on C2.
- There are as many suspects (counting the item) as columns, so each column holds exactly one. Only Sven can still reach column F, so that is where he must be.
- G4 has already been ruled out, so Sven can only be on F3. No one else can be in row 3 or column F, and no other character can be in the Makeup Room.
- G3 has already been ruled out, so the Ceremonial Waraji can only be on G4.
Conclusion: Sven is the only person sharing the Makeup Room with the Ceremonial Waraji, which is on G4. He is the thief.