{"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":"Hodina matematiky","tagline":"Základní škola · den otevřených dveří · inspektor nikdy nenapsal svou zprávu","author":"mathace","concept":"Murdoku – Manuel Garand (murdoku.com); unofficial fan-made case","created":"2026-10-08","story":"Byl den otevřených dveří na základní škole v ulici Hársfa: rodiče mohli sedět na kterékoli hodině a letos přišel dokonce i školní inspektor. Viktor měl zápisník plný poznámek a pověst člověka, který na všem najde chybu – trojúhelník nakreslený křídou na tabuli, ošoupané žíněnky, kávu ve sborovně. Když na konci velké přestávky zazvonilo, inspektor se na třetí hodině neukázal: našli ho mrtvého ve sborovně. V budově byli stále tři rodiče a čtyři zaměstnanci školy a každého z nich se zeptali, kde byl.","rules":{"standard":["V každém <b>řádku</b> a každém <b>sloupci</b> je přesně <b>jeden člověk</b>. Jakmile někoho umístíš, škrtni celý jeho řádek a sloupec.","<b>„Vedle“</b> = přímo vlevo, vpravo, nad nebo pod, a <b>ve stejné oblasti</b>. 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fill=\"#8a8278\"/></svg>","solverRole":"staff","constraints":[{"type":"col_has","obj":"ballbasket"},{"type":"area_has","obj":"desk"}]},{"id":"E","name":"Eszter","gender":"F","role":"staff","color":"#e65100","avatar":{"bg":"#3d2a5a","skin":"#f0cdb0","hair":"#1c1a1a","style":"bob","shirt":"#5b2c6f","scarf":"#e0b050"},"clue":"Byla <b>jedinou osobou</b> vedle <b>lavičky</b>.","job":"školní sekretářka","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Eszter\"><rect width=\"80\" height=\"80\" fill=\"#3d2a5a\"/><path d=\"M22 40 Q22 14 40 14 Q58 14 58 40 L58 58 L22 58 Z\" fill=\"#1c1a1a\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#5b2c6f\"/><rect x=\"34\" y=\"44\" width=\"12\" height=\"13\" fill=\"#f0cdb0\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" 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":"Byl <b>jediný</b>, kdo seděl na <b>židli</b>.","job":"učitel tělocviku","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":"Byla <b>jedinou ženou</b> vedle <b>tabule</b>.","job":"učitelka matematiky","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>Oběť.</b> Našli ho ve <b>sborovně</b> – sám s vrahem.","job":"školní inspektor","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 byla jedinou ženou vedle tabule (R1C2–R1C3). Volná políčka vedle ní jsou R1C1, R1C4 a R2C2 – ale R2C2 je židle a na židli seděl jen Feri. Ildikó je tedy na R1C1 nebo R1C4: řádek 1 patří jí. V Dávidově sloupci byl koš na míče (R6C7), takže sloupec 7 patří Dávidovi a v jeho oblasti byl psací stůl. Psací stoly jsou v učebně matematiky a v ředitelně a sloupec 7 prochází jen jednou z těchto oblastí, ředitelnou, na R1C7 a R2C7. Řádek 1 patří Ildikó: <b>Dávid je na R2C7</b>, v křesle."},{"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 byla vedle psacího stolu, ale ne vedle knihovny. Psací stoly jsou na R1C8, R2C3 a R3C3 a volná políčka vedle nich jsou R1C7 a R2C8 (ředitelna) a R2C2, R2C4, R3C2, R3C4 a R4C3 (učebna matematiky). R2C2 a R4C3 jsou židle (na židli seděl jen Feri), R3C2 je vedle knihovny (R3C1), R1C7 je v Dávidově sloupci a R2C4 a R2C8 v jeho řádku: <b>Csilla je na R3C4.</b> Sloupec 4 je teď její, takže Ildikó nemůže být na R1C4: <b>Ildikó je na 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":"Řádky 1, 2 a 3 a sloupce 1, 4 a 7 jsou obsazené. Každý sloupec obsahuje jednoho člověka – kdo může být ve sloupci 8? R4C8 je pohár a R8C8 lezecká stěna, zbývají tedy jen R5C8, R6C8 a R7C8, všechna v tělocvičně. Attila byl v řádku 8, Viktor ve sborovně, Feri na židli a Eszter vedle lavičky – žádnému z nich tato políčka nevyhovují. Sloupec 8 tedy patří Bori. Byla v rohu své oblasti a ze tří políček je rohem tělocvičny jen R5C8: <b>Bori je na R5C8.</b>"},{"place":["F"],"cand":{"A":[[8,2],[8,5],[8,6]],"E":[[4,6],[7,5]],"V":[[7,2],[8,2]]},"text":"Feri byl jediný na židli. Židle jsou na R2C2, R4C3, R6C1 a R6C3; R2C2 je v Dávidově řádku a R6C1 ve sloupci Ildikó, takže Feri je na R4C3 nebo R6C3. Nyní řádek 6, ve kterém také někdo musí být: R6C1 je ve sloupci Ildikó, R6C2 je stůl, R6C4 je ve sloupci Csilly, R6C7 je koš na míče a R6C8 je ve sloupci Bori. Zbývají R6C3, R6C5 a R6C6. R6C5 a R6C6 jsou v tělocvičně, ale nejsou vedle žádné lavičky, takže nevyhovují nikomu: Attila byl v řádku 8, Eszter vedle lavičky, Viktor ve sborovně a Feri na židli. R6C3 je židle a na ní směl sedět jen Feri: <b>Feri je na R6C3</b> – ve sborovně, kde našli oběť."},{"place":["E","A","V"],"text":"I v řádku 4 musí někdo být. R4C1 je kávovar, R4C3 je ve Feriho sloupci, sloupce 4 a 7 jsou obsazené a R4C8 je pohár. R4C2 a samotná lavička (R4C5) nejsou vedle žádné lavičky, takže tam nikdo z dosud neumístěných být nemůže – řádek 4 patří Eszter, na R4C6 vedle lavičky: <b>Eszter je na R4C6.</b> Feri byl ve sborovně a vrah tam byl s obětí sám, takže nikdo jiný ve sborovně nebyl. Attila je v řádku 8: sloupce 1 a 7 jsou obsazené, R8C4 a R8C8 jsou předměty, R8C2 a R8C3 patří do sborovny a R8C6 je ve sloupci Eszter – <b>Attila je na R8C5.</b> Viktor byl ve sborovně; řádky 5, 6 a 8 a sloupce 1 a 3 jsou obsazené, takže <b>Viktor je na R7C2.</b>"},{"final":true,"text":"Případ uzavřen: Viktor byl ve sborovně sám s učitelem tělocviku. <b>Feri je vrah!</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}