{"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":"Die Mathestunde","tagline":"Eine Grundschule · Tag der offenen Tür · der Schulrat schrieb seinen Bericht nie","author":"mathace","concept":"Murdoku – Manuel Garand (murdoku.com); unofficial fan-made case","created":"2026-10-08","story":"Es war Tag der offenen Tür in der Grundschule in der Hársfa-Straße: Eltern durften in jeder Stunde hospitieren, und dieses Jahr kam sogar der Schulrat. Viktor hatte ein Notizbuch voller Anmerkungen und den Ruf, an allem etwas auszusetzen – am Kreidedreieck an der Tafel, an den abgenutzten Turnmatten, am Kaffee im Lehrerzimmer. Als nach der großen Pause die Klingel läutete, erschien der Schulrat nicht zur dritten Stunde: Er wurde tot im Lehrerzimmer gefunden. Drei Eltern und vier Mitarbeiter der Schule waren noch im Gebäude, und jeder von ihnen wurde gefragt, wo er gewesen war.","rules":{"standard":["In jeder <b>Zeile</b> und jeder <b>Spalte</b> ist genau <b>eine Person</b>. Sobald du jemanden platzierst, streiche seine ganze Zeile und Spalte durch.","<b>„Neben“</b> = direkt links, rechts, darüber oder darunter, und <b>im selben Bereich</b>. Felder mit Gegenständen (die Tafel, die Spinde, die Schreibtische, die Bücherregale, die Pflanze, die Espressomaschine, der Pokal, der Tisch, der Ballkorb und die Kletterwand) können nicht besetzt werden; die Stühle, der Sessel, die Bänke, die Turnmatten und das Sofa schon.","Der Mörder war <b>allein mit dem Opfer</b>: Niemand sonst war in diesem Bereich."],"special":[]},"roleNames":{"parent":"Elternteil","staff":"Schulmitarbeiter","inspector":"Schulrat","victim":"Opfer"},"personGroups":[{"id":"parents","name":"Eltern","persons":["A","B","C"]},{"id":"school","name":"Schulpersonal","persons":["D","E","F","I"]},{"id":"inspector","name":"Der Schulrat","persons":["V"]}],"map":{"groups":[],"gaps":[],"areas":[{"id":"Maths 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war in der <b>letzten Zeile</b>.","job":"Vater eines Viertklässlers","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Attila\"><rect width=\"80\" height=\"80\" fill=\"#35607a\"/><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 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=\"M27 38 Q30 52 40 53 Q50 52 53 38 Q50 47 40 48 Q30 47 27 38 Z\" 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ry=\"16\" 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":"Er war der <b>Einzige</b>, der auf einem <b>Stuhl</b> saß.","job":"Sportlehrer","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":"Sie war die <b>einzige Frau</b> neben der <b>Tafel</b>.","job":"Mathelehrerin","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>Das Opfer.</b> Er wurde im <b>Lehrerzimmer</b> gefunden – allein mit dem Mörder.","job":"Schulrat","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 war die einzige Frau neben der Tafel (R1C2–R1C3). Die freien Felder daneben sind R1C1, R1C4 und R2C2 – aber R2C2 ist ein Stuhl, und nur Feri saß auf einem Stuhl. Ildikó ist also auf R1C1 oder R1C4: Zeile 1 gehört ihr. Dávid hatte den Ballkorb (R6C7) in seiner Spalte, also gehört Spalte 7 ihm, und in seinem Bereich war ein Schreibtisch. Schreibtische gibt es im Matheraum und im Rektorat, und Spalte 7 führt nur durch einen dieser Bereiche, das Rektorat, bei R1C7 und R2C7. Zeile 1 ist Ildikós: <b>Dávid ist auf R2C7</b>, im Sessel."},{"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 war neben einem Schreibtisch, aber nicht neben einem Bücherregal. Die Schreibtische sind auf R1C8, R2C3 und R3C3, und die freien Felder daneben sind R1C7 und R2C8 (Rektorat) sowie R2C2, R2C4, R3C2, R3C4 und R4C3 (Matheraum). R2C2 und R4C3 sind Stühle (nur Feri saß auf einem Stuhl), R3C2 liegt neben dem Bücherregal (R3C1), R1C7 liegt in Dávids Spalte, und R2C4 und R2C8 liegen in seiner Zeile: <b>Csilla ist auf R3C4.</b> Spalte 4 gehört jetzt ihr, also kann Ildikó nicht auf R1C4 sein: <b>Ildikó ist auf 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":"Die Zeilen 1, 2 und 3 und die Spalten 1, 4 und 7 sind vergeben. In jeder Spalte ist jemand – wer kann in Spalte 8 sein? R4C8 ist der Pokal und R8C8 die Kletterwand, also bleiben nur R5C8, R6C8 und R7C8, alle in der Turnhalle. Attila war in Zeile 8, Viktor im Lehrerzimmer, Feri auf einem Stuhl und Eszter neben einer Bank – auf keinen von ihnen passt eines dieser Felder. Spalte 8 gehört also Bori. Sie war in einer Ecke ihres Bereichs, und von den drei Feldern ist nur R5C8 eine Ecke der Turnhalle: <b>Bori ist auf R5C8.</b>"},{"place":["F"],"cand":{"A":[[8,2],[8,5],[8,6]],"E":[[4,6],[7,5]],"V":[[7,2],[8,2]]},"text":"Feri war der Einzige auf einem Stuhl. Die Stühle sind auf R2C2, R4C3, R6C1 und R6C3; R2C2 liegt in Dávids Zeile und R6C1 in Ildikós Spalte, also ist Feri auf R4C3 oder R6C3. Nun zu Zeile 6, in der ebenfalls jemand sein muss: R6C1 liegt in Ildikós Spalte, R6C2 ist der Tisch, R6C4 liegt in Csillas Spalte, R6C7 ist der Ballkorb und R6C8 liegt in Boris Spalte. Es bleiben R6C3, R6C5 und R6C6. R6C5 und R6C6 sind in der Turnhalle, aber neben keiner Bank, also passen sie auf niemanden: Attila war in Zeile 8, Eszter neben einer Bank, Viktor im Lehrerzimmer und Feri auf einem Stuhl. R6C3 ist ein Stuhl, und nur Feri darf darauf sitzen: <b>Feri ist auf R6C3</b> – im Lehrerzimmer, wo das Opfer gefunden wurde."},{"place":["E","A","V"],"text":"Auch in Zeile 4 muss jemand sein. R4C1 ist die Espressomaschine, R4C3 liegt in Feris Spalte, die Spalten 4 und 7 sind vergeben, und R4C8 ist der Pokal. R4C2 und die Bank selbst (R4C5) sind neben keiner Bank, also kann dort keiner der noch nicht Platzierten sein – Zeile 4 gehört Eszter, auf R4C6 neben der Bank: <b>Eszter ist auf R4C6.</b> Feri war im Lehrerzimmer, und der Mörder war dort allein mit dem Opfer, also war sonst niemand im Lehrerzimmer. Attila ist in Zeile 8: Die Spalten 1 und 7 sind vergeben, R8C4 und R8C8 sind Gegenstände, R8C2 und R8C3 gehören zum Lehrerzimmer, und R8C6 liegt in Eszters Spalte – <b>Attila ist auf R8C5.</b> Viktor war im Lehrerzimmer; die Zeilen 5, 6 und 8 und die Spalten 1 und 3 sind vergeben, also ist <b>Viktor auf R7C2.</b>"},{"final":true,"text":"Fall gelöst: Viktor war allein mit dem Sportlehrer im Lehrerzimmer. <b>Feri ist der Mörder!</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}