{"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":"حصة الرياضيات","tagline":"مدرسة ابتدائية · يوم الأبواب المفتوحة · المفتش الذي لم يكتب تقريره أبدًا","author":"mathace","concept":"Murdoku – Manuel Garand (murdoku.com); unofficial fan-made case","created":"2026-10-08","story":"كان يوم الأبواب المفتوحة في المدرسة الابتدائية بشارع Hársfa: يستطيع أولياء الأمور حضور أي حصة، وهذا العام جاء حتى المفتش المدرسي. كان دفتر Viktor مليئًا بالملاحظات، واشتهر بأنه يجد عيبًا في كل شيء – المثلث المرسوم بالطباشير على السبورة، وحصائر الصالة الرياضية البالية، وقهوة غرفة المعلمين. وعندما رنّ الجرس في نهاية الاستراحة الطويلة، لم يظهر المفتش في الحصة الثالثة: عُثر عليه ميتًا في غرفة المعلمين. كان ثلاثة من أولياء الأمور وأربعة من العاملين في المدرسة لا يزالون في المبنى، 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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":"كان <b>الوحيد</b> الذي جلس على <b>كرسي</b>.","job":"مدرّس التربية الرياضية","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":"كانت <b>المرأة الوحيدة</b> بجانب <b>السبورة</b>.","job":"معلمة الرياضيات","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>الضحية.</b> عُثر عليه في <b>غرفة المعلمين</b> – وحده مع القاتل.","job":"مفتش مدرسي","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":"كانت Ildikó المرأة الوحيدة بجانب السبورة (R1C2–R1C3). المربعات الحرة بجانبها هي R1C1 وR1C4 وR2C2، لكن R2C2 كرسي، ولم يجلس على كرسي إلا Feri. إذن Ildikó في R1C1 أو R1C4: الصف 1 لها. كانت سلة الكرات (R6C7) في عمود Dávid، فالعمود 7 له، وكان في منطقته مكتب. توجد المكاتب في فصل الرياضيات وفي مكتب المدير، والعمود 7 يمر بواحدة فقط من هاتين المنطقتين، هي مكتب المدير، عند R1C7 وR2C7. الصف 1 لـIldikó: <b>Dávid في R2C7</b>، على المقعد الوثير."},{"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":"كانت Csilla بجانب مكتب لكن ليس بجانب خزانة كتب. المكاتب في R1C8 وR2C3 وR3C3، والمربعات الحرة بجانبها هي R1C7 وR2C8 (مكتب المدير) وR2C2 وR2C4 وR3C2 وR3C4 وR4C3 (فصل الرياضيات). R2C2 وR4C3 كرسيان (ولم يجلس على كرسي إلا Feri)، وR3C2 بجانب خزانة الكتب (R3C1)، وR1C7 في عمود Dávid، وR2C4 وR2C8 في صفّه: <b>Csilla في R3C4.</b> العمود 4 صار لها الآن، فلا يمكن أن تكون Ildikó في R1C4: <b>Ildikó في 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":"الصفوف 1 و2 و3 والأعمدة 1 و4 و7 مشغولة. في كل عمود شخص واحد – فمن يمكن أن يكون في العمود 8؟ R4C8 كأس وR8C8 جدار التسلق، فلم يبق إلا R5C8 وR6C8 وR7C8، وكلها في الصالة الرياضية. كان Attila في الصف 8، وViktor في غرفة المعلمين، وFeri على كرسي، وEszter بجانب دكّة – ولا يناسب أيٌّ منهم هذه المربعات. إذن العمود 8 لـBori. كانت في زاوية من منطقتها، ومن بين المربعات الثلاثة R5C8 وحده زاوية في الصالة الرياضية: <b>Bori في R5C8.</b>"},{"place":["F"],"cand":{"A":[[8,2],[8,5],[8,6]],"E":[[4,6],[7,5]],"V":[[7,2],[8,2]]},"text":"كان Feri الوحيد الذي جلس على كرسي. الكراسي في R2C2 وR4C3 وR6C1 وR6C3؛ R2C2 في صف Dávid وR6C1 في عمود Ildikó، فـFeri في R4C3 أو R6C3. والآن الصف 6 الذي يحتاج هو أيضًا إلى شخص: R6C1 في عمود Ildikó، وR6C2 طاولة، وR6C4 في عمود Csilla، وR6C7 سلة الكرات، وR6C8 في عمود Bori. يبقى R6C3 وR6C5 وR6C6. R6C5 وR6C6 في الصالة الرياضية لكنهما ليستا بجانب أي دكّة، فلا تناسبان أحدًا: كان Attila في الصف 8، وEszter بجانب دكّة، وViktor في غرفة المعلمين، وFeri على كرسي. R6C3 كرسي، ولا يجلس عليه إلا Feri: <b>Feri في R6C3</b> – في غرفة المعلمين، حيث عُثر على الضحية."},{"place":["E","A","V"],"text":"الصف 4 يحتاج هو أيضًا إلى شخص. R4C1 ماكينة الإسبريسو، وR4C3 في عمود Feri، والعمودان 4 و7 مشغولان، وR4C8 كأس. R4C2 والدكّة نفسها (R4C5) ليستا بجانب أي دكّة، فلا يمكن أن يكون هناك أحد ممن لم يوضعوا بعد – الصف 4 لـEszter، في R4C6 بجانب الدكّة: <b>Eszter في R4C6.</b> كان Feri في غرفة المعلمين، وكان القاتل وحده مع الضحية هناك، فلم يكن أحد آخر في غرفة المعلمين. Attila في الصف 8: العمودان 1 و7 مشغولان، وR8C4 وR8C8 فيهما أشياء، وR8C2 وR8C3 تتبعان غرفة المعلمين، وR8C6 في عمود Eszter – <b>Attila في R8C5.</b> كان Viktor في غرفة المعلمين؛ الصفوف 5 و6 و8 والعمودان 1 و3 مشغولة، فـ<b>Viktor في R7C2.</b>"},{"final":true,"text":"أُغلقت القضية: كان Viktor وحده مع مدرّس التربية الرياضية في غرفة المعلمين. <b>Feri هو القاتل!</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}