{"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":"De wiskundeles","tagline":"Een basisschool · open dag · de inspecteur schreef zijn rapport nooit","author":"mathace","concept":"Murdoku – Manuel Garand (murdoku.com); unofficial fan-made case","created":"2026-10-08","story":"Het was open dag op de basisschool in de Hársfastraat: ouders mochten bij elke les aanschuiven, en dit jaar kwam zelfs de schoolinspecteur. Viktor had een notitieboekje vol opmerkingen en stond erom bekend overal iets op aan te merken – de krijtdriehoek op het schoolbord, de versleten turnmatten, de koffie in de lerarenkamer. Toen aan het eind van de grote pauze de bel ging, kwam de inspecteur niet opdagen bij het derde lesuur: hij werd dood aangetroffen in de lerarenkamer. Drie ouders en vier medewerkers van de school waren nog in het gebouw, en aan ieder van hen werd gevraagd waar ze waren geweest.","rules":{"standard":["Elke <b>rij</b> en elke <b>kolom</b> bevat precies <b>één persoon</b>. Zodra je iemand plaatst, streep je zijn hele rij en kolom door.","<b>„Naast”</b> = direct links, rechts, erboven of eronder, en <b>in hetzelfde gebied</b>. Vakjes met een voorwerp (het schoolbord, de kluisjes, de bureaus, de boekenkasten, de plant, de espressomachine, de trofee, de tafel, de ballenmand en de klimwand) kunnen niet bezet worden; de stoelen, de fauteuil, de banken, de turnmatten en de sofa wel.","De moordenaar was <b>alleen met het slachtoffer</b>: niemand anders was in dat gebied."],"special":[]},"roleNames":{"parent":"ouder","staff":"schoolmedewerker","inspector":"schoolinspecteur","victim":"slachtoffer"},"personGroups":[{"id":"parents","name":"Ouders","persons":["A","B","C"]},{"id":"school","name":"Schoolpersoneel","persons":["D","E","F","I"]},{"id":"inspector","name":"De inspecteur","persons":["V"]}],"map":{"groups":[],"gaps":[],"areas":[{"id":"Maths 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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":"Ze was de <b>enige vrouw</b> naast het <b>schoolbord</b>.","job":"wiskundelerares","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>Het slachtoffer.</b> Hij werd gevonden in de <b>Lerarenkamer</b> – alleen met de moordenaar.","job":"schoolinspecteur","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 de enige vrouw naast het schoolbord (R1C2–R1C3). De vrije vakjes ernaast zijn R1C1, R1C4 en R2C2 – maar R2C2 is een stoel, en alleen Feri zat op een stoel. Ildikó is dus op R1C1 of R1C4: rij 1 is van haar. Dávid had de ballenmand (R6C7) in zijn kolom, dus kolom 7 is van hem, en er was een bureau in zijn gebied. Er zijn bureaus in het Wiskundelokaal en in de Directiekamer, en kolom 7 loopt maar door één van die gebieden, de Directiekamer, bij R1C7 en R2C7. Rij 1 is van Ildikó: <b>Dávid is op R2C7</b>, in de fauteuil."},{"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 naast een bureau, maar niet naast een boekenkast. De bureaus staan op R1C8, R2C3 en R3C3, en de vrije vakjes ernaast zijn R1C7 en R2C8 (Directiekamer) en R2C2, R2C4, R3C2, R3C4 en R4C3 (Wiskundelokaal). R2C2 en R4C3 zijn stoelen (alleen Feri zat op een stoel), R3C2 ligt naast de boekenkast (R3C1), R1C7 ligt in de kolom van Dávid, en R2C4 en R2C8 liggen in zijn rij: <b>Csilla is op R3C4.</b> Kolom 4 is nu van haar, dus Ildikó kan niet op R1C4 zijn: <b>Ildikó is op 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":"De rijen 1, 2 en 3 en de kolommen 1, 4 en 7 zijn bezet. Elke kolom bevat iemand – wie kan er in kolom 8 zijn? R4C8 is de trofee en R8C8 de klimwand, dus er blijven alleen R5C8, R6C8 en R7C8 over, allemaal in de Gymzaal. Attila was in rij 8, Viktor in de Lerarenkamer, Feri op een stoel en Eszter naast een bank – geen van deze vakjes past bij hen. Kolom 8 is dus van Bori. Ze was in een hoek van haar gebied, en van de drie vakjes is alleen R5C8 een hoek van de Gymzaal: <b>Bori is op 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 de enige op een stoel. De stoelen staan op R2C2, R4C3, R6C1 en R6C3; R2C2 ligt in de rij van Dávid en R6C1 in de kolom van Ildikó, dus Feri is op R4C3 of R6C3. Nu rij 6, waar ook iemand moet zijn: R6C1 ligt in de kolom van Ildikó, R6C2 is de tafel, R6C4 ligt in de kolom van Csilla, R6C7 is de ballenmand en R6C8 ligt in de kolom van Bori. Dan blijven R6C3, R6C5 en R6C6 over. R6C5 en R6C6 liggen in de Gymzaal, maar naast geen enkele bank, dus ze passen bij niemand: Attila was in rij 8, Eszter naast een bank, Viktor in de Lerarenkamer en Feri op een stoel. R6C3 is een stoel, en alleen Feri mag erop zitten: <b>Feri is op R6C3</b> – in de Lerarenkamer, waar het slachtoffer werd gevonden."},{"place":["E","A","V"],"text":"Ook in rij 4 moet iemand zijn. R4C1 is de espressomachine, R4C3 ligt in de kolom van Feri, de kolommen 4 en 7 zijn bezet en R4C8 is de trofee. R4C2 en de bank zelf (R4C5) liggen naast geen enkele bank, dus daar kan niemand van de overgebleven mensen zijn – rij 4 is van Eszter, op R4C6 naast de bank: <b>Eszter is op R4C6.</b> Feri was in de Lerarenkamer, en de moordenaar was daar alleen met het slachtoffer, dus niemand anders was in de Lerarenkamer. Attila is in rij 8: de kolommen 1 en 7 zijn bezet, R8C4 en R8C8 zijn voorwerpen, R8C2 en R8C3 horen bij de Lerarenkamer en R8C6 ligt in de kolom van Eszter – <b>Attila is op R8C5.</b> Viktor was in de Lerarenkamer; de rijen 5, 6 en 8 en de kolommen 1 en 3 zijn bezet, dus <b>Viktor is op R7C2.</b>"},{"final":true,"text":"Zaak gesloten: Viktor was alleen in de Lerarenkamer met de gymleraar. <b>Feri is de moordenaar!</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}