{"format":"murdoku-puzzle/1","id":"maths-lesson","version":1,"difficulty":"easy","level":3,"size":{"rows":8,"cols":8},"languages":["en","hu","de","fr","es","it","nl","pl","pt","ro","ca","cs","fi","vi","tr","el","ru","uk","ar","ko","ja","zh-Hans","zh-Hant"],"defaultLanguage":"en","title":"The Maths Lesson","tagline":"A primary school · open day · the inspector never wrote his report","author":"mathace","concept":"Murdoku – Manuel Garand (murdoku.com); unofficial fan-made case","created":"2026-10-08","story":"It was open day at the primary school on Hársfa Street: parents could sit in on any lesson, and this year even the school inspector came. Viktor had a notebook full of remarks and a reputation for finding fault with everything – the chalk triangle on the blackboard, the worn gym mats, the coffee in the Staff Room. When the bell rang at the end of the long break, the inspector did not turn up for the third lesson: he was found dead in the Staff Room. Three parents and four members of the school staff were still in the building, and each of them was asked where they had been.","rules":{"standard":["Every <b>row</b> and every <b>column</b> holds exactly <b>one person</b>. As soon as you place someone, cross out their whole row and column.","<b>“Beside”</b> = directly left, right, above or below, and <b>in the same area</b>. Squares with objects (the blackboard, the lockers, the desks, the bookcases, the plant, the espresso machine, the trophy, the table, the ball basket and the climbing wall) cannot be occupied; the chairs, the armchair, the benches, the gym mats and the sofa can.","The murderer was <b>alone with the victim</b>: nobody else was in that area."],"special":[]},"roleNames":{"parent":"parent","staff":"member of staff","inspector":"school inspector","victim":"victim"},"personGroups":[{"id":"parents","name":"Parents","persons":["A","B","C"]},{"id":"school","name":"School staff","persons":["D","E","F","I"]},{"id":"inspector","name":"The inspector","persons":["V"]}],"map":{"groups":[],"gaps":[],"areas":[{"id":"Maths Classroom","cells":[[1,1],[1,2],[1,3],[1,4],[1,5],[2,1],[2,2],[2,3],[2,4],[2,5],[3,1],[3,2],[3,3],[3,4],[4,2],[4,3]],"fill":"#efe2cb","pattern":"planks","labelAt":[3,2],"name":"Maths 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fill=\"#3d444b\"/>"},"espresso":{"occupiable":false,"name":"espresso machine","icon":"<path d=\"M12 16 q11 -13 22 0 z\" fill=\"#c8894a\" stroke=\"#6b4420\" stroke-width=\"1.3\"/><circle cx=\"23\" cy=\"5.5\" r=\"2.2\" fill=\"#e0b050\" stroke=\"#6b4420\" stroke-width=\".8\"/><rect x=\"8\" y=\"16\" width=\"30\" height=\"22\" rx=\"2\" fill=\"#cfd5db\" stroke=\"#555d66\" stroke-width=\"1.5\"/><rect x=\"11\" y=\"19\" width=\"24\" height=\"5\" rx=\"1\" fill=\"#8a929b\"/><circle cx=\"23\" cy=\"21.5\" r=\"1.8\" fill=\"#e0b050\"/><rect x=\"12\" y=\"24\" width=\"7\" height=\"4\" fill=\"#3b3f44\"/><rect x=\"27\" y=\"24\" width=\"7\" height=\"4\" fill=\"#3b3f44\"/><path d=\"M15.5 28 v2 M30.5 28 v2\" stroke=\"#6b4420\" stroke-width=\"1.2\"/><rect x=\"12.5\" y=\"31\" width=\"6\" height=\"5\" rx=\"1\" fill=\"#fff\" stroke=\"#555d66\"/><rect x=\"27.5\" y=\"31\" width=\"6\" height=\"5\" rx=\"1\" fill=\"#fff\" stroke=\"#555d66\"/><rect x=\"6\" y=\"38\" width=\"34\" height=\"4\" rx=\"1.5\" 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fill=\"#f0cdb0\"/><path d=\"M26 36 Q26 16 40 16 Q54 16 54 36 Q52 24 40 24 Q28 24 26 36 Z\" fill=\"#1c1a1a\"/><circle cx=\"34\" cy=\"35\" r=\"1.6\" fill=\"#2b2b2b\"/><circle cx=\"46\" cy=\"35\" r=\"1.6\" fill=\"#2b2b2b\"/><path d=\"M36 43 Q40 46 44 43\" fill=\"none\" stroke=\"#a5735a\" stroke-width=\"1.4\"/><path d=\"M30 58 Q40 70 50 58 L48 66 Q40 76 32 66 Z\" fill=\"#e0b050\"/></svg>","solverRole":"staff","constraints":[{"type":"only_beside","obj":"bench"}]},{"id":"F","name":"Feri","gender":"M","role":"staff","color":"#00838f","avatar":{"bg":"#2e5a3a","skin":"#e7b98f","hair":"#3a2a1c","style":"short","shirt":"#c62828","mustache":true,"mustacheColor":"#3a2a1c","whistle":true},"clue":"He was the <b>only one</b> sitting in a <b>chair</b>.","job":"PE teacher","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Feri\"><rect width=\"80\" height=\"80\" fill=\"#2e5a3a\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#c62828\"/><rect x=\"34\" y=\"44\" width=\"12\" height=\"13\" fill=\"#e7b98f\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#e7b98f\"/><path d=\"M26 32 Q26 15 40 15 Q54 15 54 32 Q50 24 40 24 Q30 24 26 32 Z\" fill=\"#3a2a1c\"/><circle cx=\"34\" cy=\"35\" r=\"1.6\" fill=\"#2b2b2b\"/><circle cx=\"46\" cy=\"35\" r=\"1.6\" fill=\"#2b2b2b\"/><path d=\"M36 43 Q40 46 44 43\" fill=\"none\" stroke=\"#a5735a\" stroke-width=\"1.4\"/><path d=\"M33 41 Q40 37 47 41 Q40 43 33 41 Z\" fill=\"#3a2a1c\"/><path d=\"M33 56 Q40 68 47 56\" fill=\"none\" stroke=\"#c9302c\" stroke-width=\"1.6\"/><rect x=\"37\" y=\"66\" width=\"7\" height=\"5\" rx=\"1.5\" fill=\"#e0b040\" stroke=\"#7a5a12\" stroke-width=\".8\"/></svg>","solverRole":"staff","constraints":[{"type":"only_on","obj":"chair"}]},{"id":"I","name":"Ildikó","gender":"F","role":"staff","color":"#ad1457","avatar":{"bg":"#e65100","skin":"#f6d8c0","hair":"#b7482c","style":"bun","shirt":"#f2a53a","glasses":true,"necklace":true},"clue":"She was the <b>only woman</b> beside the <b>blackboard</b>.","job":"maths teacher","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Ildikó\"><rect width=\"80\" height=\"80\" fill=\"#e65100\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#f2a53a\"/><path d=\"M31 58 Q40 66 49 58\" fill=\"none\" stroke=\"#f3e2b3\" stroke-width=\"2\" stroke-dasharray=\"2 2\"/><rect x=\"34\" y=\"44\" width=\"12\" height=\"13\" fill=\"#f6d8c0\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#f6d8c0\"/><circle cx=\"40\" cy=\"15\" r=\"7\" fill=\"#b7482c\"/><path d=\"M26 32 Q26 16 40 16 Q54 16 54 32 Q50 24 40 24 Q30 24 26 32 Z\" fill=\"#b7482c\"/><circle cx=\"34\" cy=\"35\" r=\"1.6\" fill=\"#2b2b2b\"/><circle cx=\"46\" cy=\"35\" r=\"1.6\" fill=\"#2b2b2b\"/><path d=\"M36 43 Q40 46 44 43\" fill=\"none\" stroke=\"#a5735a\" stroke-width=\"1.4\"/><circle cx=\"34\" cy=\"35\" r=\"5\" fill=\"none\" stroke=\"#2b2b2b\" stroke-width=\"1.4\"/><circle cx=\"46\" cy=\"35\" r=\"5\" fill=\"none\" stroke=\"#2b2b2b\" stroke-width=\"1.4\"/><line x1=\"39\" y1=\"35\" x2=\"41\" y2=\"35\" stroke=\"#2b2b2b\" stroke-width=\"1.4\"/></svg>","solverRole":"staff","constraints":[{"type":"only_beside","obj":"blackboard","gender":"F"}]},{"id":"V","name":"Viktor","gender":"M","role":"victim","color":"#1b1b1b","avatar":{"bg":"#5a2a2a","skin":"#f1c8a5","hair":"#d9d4cc","style":"bald","shirt":"#2f3b4c","glasses":true,"mustache":true,"mustacheColor":"#d9d4cc"},"clue":"<b>The victim.</b> He was found in the <b>Staff Room</b> – alone with the murderer.","job":"school inspector","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Viktor\"><rect width=\"80\" height=\"80\" fill=\"#5a2a2a\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#2f3b4c\"/><rect x=\"34\" y=\"44\" width=\"12\" height=\"13\" fill=\"#f1c8a5\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#f1c8a5\"/><path d=\"M26 30 Q26 22 30 20 L30 34 Q26 34 26 30 Z\" fill=\"#d9d4cc\"/><path d=\"M54 30 Q54 22 50 20 L50 34 Q54 34 54 30 Z\" fill=\"#d9d4cc\"/><circle cx=\"34\" cy=\"35\" r=\"1.6\" fill=\"#2b2b2b\"/><circle cx=\"46\" cy=\"35\" r=\"1.6\" fill=\"#2b2b2b\"/><path d=\"M36 43 Q40 46 44 43\" fill=\"none\" stroke=\"#a5735a\" stroke-width=\"1.4\"/><circle cx=\"34\" cy=\"35\" r=\"5\" fill=\"none\" stroke=\"#2b2b2b\" stroke-width=\"1.4\"/><circle cx=\"46\" cy=\"35\" r=\"5\" fill=\"none\" stroke=\"#2b2b2b\" stroke-width=\"1.4\"/><line x1=\"39\" y1=\"35\" x2=\"41\" y2=\"35\" stroke=\"#2b2b2b\" stroke-width=\"1.4\"/><path d=\"M33 41 Q40 37 47 41 Q40 43 33 41 Z\" fill=\"#d9d4cc\"/><path d=\"M12 12 L68 68 M68 12 L12 68\" stroke=\"#e0362e\" stroke-width=\"5\" stroke-linecap=\"round\" opacity=\".9\"/></svg>","solverRole":"inspector","constraints":[{"type":"area","areas":["Staff Room"]}]}],"victim":"V","murderer":"F","solution":{"I":[1,1],"D":[2,7],"C":[3,4],"E":[4,6],"B":[5,8],"F":[6,3],"V":[7,2],"A":[8,5]},"walkthrough":[{"place":["D"],"cand":{"A":[[8,1],[8,2],[8,3],[8,5],[8,6]],"B":[[3,4],[3,8],[4,2],[5,3],[5,4],[5,6],[5,8],[7,4],[8,1],[8,5]],"C":[[3,4]],"E":[[3,5],[4,4],[4,6],[5,5],[6,4],[7,5]],"F":[[4,3],[6,1],[6,3]],"I":[[1,1],[1,4]],"V":[[5,1],[5,2],[5,3],[7,1],[7,2],[7,3],[8,1],[8,2],[8,3]]},"text":"Ildikó was the only woman beside the blackboard (R1C2–R1C3). The free squares beside it are R1C1, R1C4 and R2C2 – but R2C2 is a chair, and only Feri sat on a chair. So Ildikó is at R1C1 or R1C4: row 1 is hers. Dávid had the ball basket (R6C7) in his column, so column 7 is his, and there was a desk in his area. Desks stand in the Maths Classroom and in the Headteacher's Office, and column 7 passes through only one of these areas, the Headteacher's Office, at R1C7 and R2C7. Row 1 is Ildikó's: <b>Dávid is at R2C7</b>, in the armchair."},{"place":["C","I"],"cand":{"A":[[8,2],[8,3],[8,5],[8,6]],"B":[[4,2],[5,3],[5,6],[5,8],[8,5]],"E":[[4,6],[5,5],[7,5]],"F":[[4,3],[6,3]],"V":[[5,2],[5,3],[7,2],[7,3],[8,2],[8,3]]},"text":"Csilla was beside a desk but not beside a bookcase. The desks are at R1C8, R2C3 and R3C3, and the free squares beside them are R1C7 and R2C8 (Headteacher's Office) and R2C2, R2C4, R3C2, R3C4 and R4C3 (Maths Classroom). R2C2 and R4C3 are chairs (only Feri sat on a chair), R3C2 is beside the bookcase (R3C1), R1C7 is in Dávid's column, and R2C4 and R2C8 are in his row: <b>Csilla is at R3C4.</b> Column 4 is hers now, so Ildikó cannot be at R1C4: <b>Ildikó is at R1C1.</b>"},{"place":["B"],"cand":{"A":[[8,2],[8,3],[8,5],[8,6]],"E":[[4,6],[7,5]],"F":[[4,3],[6,3]],"V":[[7,2],[7,3],[8,2],[8,3]]},"text":"Rows 1, 2 and 3 and columns 1, 4 and 7 are taken. Every column holds one person – who can be in column 8? R4C8 is the trophy and R8C8 the climbing wall, so only R5C8, R6C8 and R7C8 are left, all in the Gym. Attila was in row 8, Viktor in the Staff Room, Feri on a chair and Eszter beside a bench – none of these squares suits them. So column 8 is Bori's. She was in a corner of her area, and of the three squares only R5C8 is a corner of the Gym: <b>Bori is at R5C8.</b>"},{"place":["F"],"cand":{"A":[[8,2],[8,5],[8,6]],"E":[[4,6],[7,5]],"V":[[7,2],[8,2]]},"text":"Feri was the only one on a chair. The chairs are at R2C2, R4C3, R6C1 and R6C3; R2C2 is in Dávid's row and R6C1 in Ildikó's column, so Feri is at R4C3 or R6C3. Now row 6, which also needs somebody: R6C1 is in Ildikó's column, R6C2 is the table, R6C4 is in Csilla's column, R6C7 is the ball basket and R6C8 is in Bori's column. That leaves R6C3, R6C5 and R6C6. R6C5 and R6C6 are in the Gym but beside no bench, so they suit nobody: Attila was in row 8, Eszter beside a bench, Viktor in the Staff Room and Feri on a chair. R6C3 is a chair, and only Feri may sit on it: <b>Feri is at R6C3</b> – in the Staff Room, where the victim was found."},{"place":["E","A","V"],"text":"Row 4 needs somebody too. R4C1 is the espresso machine, R4C3 is in Feri's column, columns 4 and 7 are taken and R4C8 is the trophy. R4C2 and the bench itself (R4C5) are beside no bench, so nobody left can be there – row 4 is Eszter's, at R4C6 beside the bench: <b>Eszter is at R4C6.</b> Feri was in the Staff Room, and the murderer was alone with the victim there, so nobody else was in the Staff Room. Attila is in row 8: columns 1 and 7 are taken, R8C4 and R8C8 are objects, R8C2 and R8C3 belong to the Staff Room and R8C6 is in Eszter's column – <b>Attila is at R8C5.</b> Viktor was in the Staff Room; rows 5, 6 and 8 and columns 1 and 3 are taken, so <b>Viktor is at R7C2.</b>"},{"final":true,"text":"Case closed: Viktor was alone in the Staff Room with the PE teacher. <b>Feri is the murderer!</b>"}],"solver":{"rules":[],"occupiable":["armchair","bench","chair","crashmat","sofa"]},"verification":{"tool":"tools/murdoku_solver.py","unique":true,"guessFree":true,"checked":"2026-10-08"},"score":0.0025}