{"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":"數學課","tagline":"小學 · 開放日 · 督學始終沒有寫完他的報告","author":"mathace","concept":"Murdoku – Manuel Garand (murdoku.com); unofficial fan-made case","created":"2026-10-08","story":"Hársfa 街的小學正在舉行開放日：家長可以旁聽任何一節課，今年連督學也來了。Viktor 的筆記本上寫滿了意見，他以事事挑剔而出名——黑板上用粉筆畫的三角形、磨舊的體操墊、教員室的咖啡。長課間結束的鐘聲響起時，督學沒有出現在第三節課上：有人發現他死在教員室裡。三位家長和四名學校職員還在樓裡，每個人都被問到當時在哪裡。","rules":{"standard":["每一<b>列</b>（橫行）和每一<b>欄</b>（直行）恰好有<b>一個人</b>。一旦放下某人，就劃掉他所在的整列和整欄。","<b>「旁邊」</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":"她是在一條<b>長椅</b>旁邊的<b>唯一一人</b>。","job":"學校秘書","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":"他是<b>唯一</b>坐在一把<b>椅子</b>上的人。","job":"體育老師","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":"她是在<b>黑板</b>旁邊的<b>唯一女人</b>。","job":"數學老師","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>受害者。</b>他被發現在<b>教員室</b>——與兇手獨處。","job":"督學","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是在黑板（R1C2–R1C3）旁邊的唯一女人。它旁邊的空方格是R1C1、R1C4和R2C2——但R2C2是椅子，而椅子上只有Feri坐過。所以Ildikó在R1C1或R1C4：第1列是她的。Dávid的欄裡有球籃（R6C7），所以第7欄是他的，而且他所在區域裡有一張書桌。書桌在數學教室和校長室裡，而第7欄只穿過這兩個區域中的校長室，即R1C7和R2C7。第1列是Ildikó的：<b>Dávid在R2C7</b>，坐在扶手椅裡。"},{"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在一張書桌旁邊，但不在書櫃旁邊。書桌在R1C8、R2C3和R3C3，它們旁邊的空方格是R1C7和R2C8（校長室），以及R2C2、R2C4、R3C2、R3C4和R4C3（數學教室）。R2C2和R4C3是椅子（椅子上只有Feri坐過），R3C2在書櫃（R3C1）旁邊，R1C7在Dávid的欄裡，R2C4和R2C8在他的列裡：<b>Csilla在R3C4。</b>現在第4欄是她的，所以Ildikó不可能在R1C4：<b>Ildikó在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":"第1、2、3列和第1、4、7欄已被佔用。每一欄都有一個人——第8欄會是誰？R4C8是獎盃，R8C8是攀岩牆，所以只剩下R5C8、R6C8和R7C8，都在體育館。Attila在第8列，Viktor在教員室，Feri在椅子上，Eszter在一條長椅旁邊——這三個方格都不適合他們。所以第8欄是Bori的。她在自己區域的角落，而三個方格中只有R5C8是體育館的角落：<b>Bori在R5C8。</b>"},{"place":["F"],"cand":{"A":[[8,2],[8,5],[8,6]],"E":[[4,6],[7,5]],"V":[[7,2],[8,2]]},"text":"Feri是唯一坐在椅子上的人。椅子在R2C2、R4C3、R6C1和R6C3；R2C2在Dávid的列裡，R6C1在Ildikó的欄裡，所以Feri在R4C3或R6C3。現在看第6列，那裡也必須有一個人：R6C1在Ildikó的欄裡，R6C2是桌子，R6C4在Csilla的欄裡，R6C7是球籃，R6C8在Bori的欄裡。剩下R6C3、R6C5和R6C6。R6C5和R6C6在體育館裡，但都不在任何長椅旁邊，所以不適合任何人：Attila在第8列，Eszter在一條長椅旁邊，Viktor在教員室，Feri在椅子上。R6C3是椅子，只有Feri可以坐：<b>Feri在R6C3</b>——在教員室，也就是發現受害者的地方。"},{"place":["E","A","V"],"text":"第4列也必須有一個人。R4C1是義式咖啡機，R4C3在Feri的欄裡，第4欄和第7欄已被佔用，R4C8是獎盃。R4C2和長椅本身（R4C5）都不在任何長椅旁邊，所以尚未安放的人都不可能在那裡——第4列是Eszter的，在長椅旁邊的R4C6：<b>Eszter在R4C6。</b>Feri在教員室，而兇手在那裡與受害者獨處，所以教員室裡沒有其他人。Attila在第8列：第1欄和第7欄已被佔用，R8C4和R8C8上有物品，R8C2和R8C3屬於教員室，R8C6在Eszter的欄裡——<b>Attila在R8C5。</b>Viktor在教員室；第5、6、8列和第1、3欄已被佔用，所以<b>Viktor在R7C2。</b>"},{"final":true,"text":"結案：Viktor在教員室裡與體育老師獨處。<b>Feri是兇手！</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}