{"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":"Lekcja matematyki","tagline":"Szkoła podstawowa · dzień otwarty · inspektor nigdy nie napisał swojego raportu","author":"mathace","concept":"Murdoku – Manuel Garand (murdoku.com); unofficial fan-made case","created":"2026-10-08","story":"W szkole podstawowej przy ulicy Hársfa odbywał się dzień otwarty: rodzice mogli wejść na każdą lekcję, a w tym roku przyjechał nawet inspektor szkolny. Viktor miał notes pełen uwag i opinię człowieka, który do wszystkiego się przyczepi – do kredowego trójkąta na tablicy, do wysłużonych mat gimnastycznych, do kawy w pokoju nauczycieli. Kiedy po długiej przerwie zadzwonił dzwonek, inspektor nie pojawił się na trzeciej lekcji: znaleziono go martwego w pokoju nauczycieli. Troje rodziców i czworo pracowników szkoły wciąż było w budynku, a każde z nich zapytano, gdzie przebywało.","rules":{"standard":["W każdym <b>wierszu</b> i każdej <b>kolumnie</b> jest dokładnie <b>jedna osoba</b>. Gdy tylko kogoś umieścisz, skreśl cały jego wiersz i kolumnę.","<b>„Obok”</b> = bezpośrednio po lewej, po prawej, powyżej lub poniżej, i <b>w tym samym obszarze</b>. Pól z przedmiotami (tablica, szafki, biurka, regały, roślina, ekspres do kawy, puchar, stół, kosz na piłki i ścianka wspinaczkowa) nie można zajmować; krzesła, fotel, ławki, maty gimnastyczne i sofa – tak.","Morderca był <b>sam na sam z ofiarą</b>: nikogo innego nie było w tym obszarze."],"special":[]},"roleNames":{"parent":"rodzic","staff":"pracownik szkoły","inspector":"inspektor szkolny","victim":"ofiara"},"personGroups":[{"id":"parents","name":"Rodzice","persons":["A","B","C"]},{"id":"school","name":"Pracownicy szkoły","persons":["D","E","F","I"]},{"id":"inspector","name":"Inspektor","persons":["V"]}],"map":{"groups":[],"gaps":[],"areas":[{"id":"Maths Classroom","cells":[[1,1],[1,2],[1,3],[1,4],[1,5],[2,1],[2,2],[2,3],[2,4],[2,5],[3,1],[3,2],[3,3],[3,4],[4,2],[4,3]],"fill":"#efe2cb","pattern":"planks","labelAt":[3,2],"name":"Klasa 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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=\"#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":"Była <b>jedyną osobą</b> obok <b>ławki</b>.","job":"sekretarka szkolna","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":"Był <b>jedynym</b>, który siedział na <b>krześle</b>.","job":"nauczyciel wychowania fizycznego","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":"Była <b>jedyną kobietą</b> obok <b>tablicy</b>.","job":"nauczycielka matematyki","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>Ofiara.</b> Znaleziono go w <b>Pokoju nauczycieli</b> – sam na sam z mordercą.","job":"inspektor szkolny","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 była jedyną kobietą obok tablicy (R1C2–R1C3). Wolne pola obok tablicy to R1C1, R1C4 i R2C2 – ale R2C2 to krzesło, a na krześle siedział tylko Feri. Ildikó jest więc na R1C1 lub R1C4: wiersz 1 należy do niej. Dávid miał kosz na piłki (R6C7) w swojej kolumnie, więc kolumna 7 jest jego, a w jego obszarze było biurko. Biurka są w Klasie matematycznej i w Gabinecie dyrektora, a kolumna 7 przechodzi tylko przez jeden z tych obszarów, Gabinet dyrektora, na R1C7 i R2C7. Wiersz 1 jest Ildikó: <b>Dávid jest na R2C7</b>, w fotelu."},{"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 była obok biurka, ale nie obok regału. Biurka są na R1C8, R2C3 i R3C3, a wolne pola obok nich to R1C7 i R2C8 (Gabinet dyrektora) oraz R2C2, R2C4, R3C2, R3C4 i R4C3 (Klasa matematyczna). R2C2 i R4C3 to krzesła (na krześle siedział tylko Feri), R3C2 jest obok regału (R3C1), R1C7 leży w kolumnie Dávida, a R2C4 i R2C8 w jego wierszu: <b>Csilla jest na R3C4.</b> Kolumna 4 należy teraz do niej, więc Ildikó nie może być na R1C4: <b>Ildikó jest 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":"Wiersze 1, 2 i 3 oraz kolumny 1, 4 i 7 są zajęte. W każdej kolumnie ktoś jest – kto może być w kolumnie 8? R4C8 to puchar, a R8C8 to ścianka wspinaczkowa, zostają więc tylko R5C8, R6C8 i R7C8, wszystkie w Sali sportowej. Attila był w wierszu 8, Viktor w Pokoju nauczycieli, Feri na krześle, a Eszter obok ławki – żadne z tych pól do nich nie pasuje. Kolumna 8 należy więc do Bori. Była w rogu swojego obszaru, a z trzech pól tylko R5C8 jest rogiem Sali sportowej: <b>Bori jest 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 był jedynym na krześle. Krzesła są na R2C2, R4C3, R6C1 i R6C3; R2C2 leży w wierszu Dávida, a R6C1 w kolumnie Ildikó, więc Feri jest na R4C3 lub R6C3. Teraz wiersz 6, w którym też ktoś musi być: R6C1 leży w kolumnie Ildikó, R6C2 to stół, R6C4 leży w kolumnie Csilli, R6C7 to kosz na piłki, a R6C8 leży w kolumnie Bori. Zostają R6C3, R6C5 i R6C6. R6C5 i R6C6 są w Sali sportowej, ale nie obok żadnej ławki, więc nie pasują do nikogo: Attila był w wierszu 8, Eszter obok ławki, Viktor w Pokoju nauczycieli, a Feri na krześle. R6C3 to krzesło, a siedzieć na nim może tylko Feri: <b>Feri jest na R6C3</b> – w Pokoju nauczycieli, gdzie znaleziono ofiarę."},{"place":["E","A","V"],"text":"W wierszu 4 też ktoś musi być. R4C1 to ekspres do kawy, R4C3 leży w kolumnie Feriego, kolumny 4 i 7 są zajęte, a R4C8 to puchar. R4C2 i sama ławka (R4C5) nie są obok żadnej ławki, więc nikt z pozostałych nie może tam być – wiersz 4 należy do Eszter, na R4C6 obok ławki: <b>Eszter jest na R4C6.</b> Feri był w Pokoju nauczycieli, a morderca był tam sam na sam z ofiarą, więc nikogo innego w Pokoju nauczycieli nie było. Attila jest w wierszu 8: kolumny 1 i 7 są zajęte, R8C4 i R8C8 to przedmioty, R8C2 i R8C3 należą do Pokoju nauczycieli, a R8C6 leży w kolumnie Eszter – <b>Attila jest na R8C5.</b> Viktor był w Pokoju nauczycieli; wiersze 5, 6 i 8 oraz kolumny 1 i 3 są zajęte, więc <b>Viktor jest na R7C2.</b>"},{"final":true,"text":"Sprawa zamknięta: Viktor był sam w Pokoju nauczycieli z nauczycielem wychowania fizycznego. <b>Feri jest mordercą!</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}