{"format":"murdoku-puzzle/1","id":"league-night","iconSet":"catalogue","version":1,"difficulty":"easy","level":4,"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":"Đêm giải đấu","tagline":"Một thị trấn nhỏ ở Ohio, tối thứ Ba · những lượt cuối của giải bowling · tờ phiếu điểm biến mất","author":"mathace","concept":"Murdoku – Manuel Garand (murdoku.com); unofficial fan-made case","created":"2026-10-19","story":"Tối thứ Ba, giải đấu tại phòng bowling bốn làn Starlite Lanes, trên phố chính của một thị trấn nhỏ ở Ohio. Vicky, thư ký giải, nói với chủ quán rằng điểm trung bình của ai đó không khớp. Lúc chín giờ rưỡi đèn tắt, và Vicky không thấy đâu nữa. Vicky được tìm thấy đã chết; không ai còn kiểm tra điểm trung bình nữa.","rules":{"standard":["Mỗi <b>hàng</b> và mỗi <b>cột</b> có đúng <b>một người</b>. Ngay khi đặt ai đó, hãy gạch bỏ toàn bộ hàng và cột của người ấy.","<b>“Cạnh”</b> = ngay bên trái, bên phải, bên trên hoặc bên dưới, và <b>trong cùng một khu vực</b>. Các ô có đồ vật (các bãi pin, bảng tỷ số, máy arcade, máy pinball, các giá để bóng, các quầy, các kệ, chiếc cúp và máy bán hàng tự động) không thể có người ở; các băng ghế, các ghế tựa và ghế đẩu bar thì được.","Phương hướng chỉ hàng và cột, không cần cùng một đường thẳng: <i>“đúng một hàng về phía bắc của anh ấy có một người chơi trong giải”</i> = người ở hàng ngay phía trên là một người chơi trong giải, ở bất kỳ cột nào.","Hung thủ <b>ở một mình với nạn nhân</b>: không có ai khác trong khu vực đó. 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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\"/><rect x=\"26\" y=\"23\" width=\"28\" height=\"5\" rx=\"2\" fill=\"#ffffff\"/></svg>","solverRole":"staff","constraints":[{"type":"beside","obj":"stool"}]},{"id":"C","name":"Chuck","gender":"M","role":"staff","color":"#2e7d32","avatar":{"bg":"#1b2a33","skin":"#f1c8a5","hair":"#5a5a5a","style":"slick","mustache":true,"mustacheColor":"#5a5a5a","shirt":"#2e7d32"},"clue":"<b>Chiếc cúp</b> ở đâu đó trong <b>cột</b> của anh ấy. Anh ấy ở cạnh một <b>giá để bóng</b>.","job":"thợ máy của máy dựng pin","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Chuck\"><rect width=\"80\" height=\"80\" fill=\"#1b2a33\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#2e7d32\"/><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 Q27 16 44 15 Q56 15 55 26 Q48 22 40 23 Q30 24 26 30 Z\" fill=\"#5a5a5a\"/><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=\"#5a5a5a\"/></svg>","solverRole":"staff","constraints":[{"type":"col_has","obj":"trophy"},{"type":"beside","obj":"ballrack"}]},{"id":"D","name":"Destiny","gender":"F","role":"bowler","color":"#6a1b9a","avatar":{"bg":"#6e2c4b","skin":"#e7b98f","hair":"#1c1a1a","style":"bun","earrings":true,"shirt":"#6a1b9a"},"clue":"Cô ấy ở <b>Khu trò chơi</b>.","job":"đội trưởng Alley Cats","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Destiny\"><rect width=\"80\" height=\"80\" fill=\"#6e2c4b\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#6a1b9a\"/><rect x=\"34\" y=\"44\" width=\"12\" height=\"13\" fill=\"#e7b98f\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#e7b98f\"/><circle cx=\"40\" cy=\"15\" r=\"7\" fill=\"#1c1a1a\"/><path d=\"M26 32 Q26 16 40 16 Q54 16 54 32 Q50 24 40 24 Q30 24 26 32 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\"/><circle cx=\"26\" cy=\"41\" r=\"1.8\" fill=\"#f0c95a\"/><circle cx=\"54\" cy=\"41\" r=\"1.8\" fill=\"#f0c95a\"/></svg>","solverRole":"bowler","constraints":[{"type":"area","areas":["Arcade"]}]},{"id":"E","name":"Elvis","gender":"M","role":"bowler","color":"#e65100","avatar":{"bg":"#3d5a6e","skin":"#e9bf9b","hair":"#2a1c14","style":"short","cap":true,"beard":true,"shirt":"#e65100"},"clue":"Anh ấy <b>ở một mình trong khu vực của mình</b>.","job":"người đưa thư, Alley Cats","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Elvis\"><rect width=\"80\" height=\"80\" fill=\"#3d5a6e\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#e65100\"/><rect x=\"34\" y=\"44\" width=\"12\" height=\"13\" fill=\"#e9bf9b\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#e9bf9b\"/><path d=\"M26 32 Q26 15 40 15 Q54 15 54 32 Q50 24 40 24 Q30 24 26 32 Z\" fill=\"#2a1c14\"/><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=\"M27 38 Q30 52 40 53 Q50 52 53 38 Q50 47 40 48 Q30 47 27 38 Z\" fill=\"#2a1c14\"/><path d=\"M24 24 Q24 11 40 11 Q56 11 56 24 Z\" fill=\"#22406f\"/><rect x=\"22\" y=\"22\" width=\"36\" height=\"5\" rx=\"2\" fill=\"#12213a\"/><circle cx=\"40\" cy=\"18\" r=\"2.6\" fill=\"#f0b429\"/></svg>","solverRole":"bowler","constraints":[{"type":"alone"}]},{"id":"F","name":"Flo","gender":"F","role":"bowler","color":"#00838f","avatar":{"bg":"#35607a","skin":"#f3d3b5","hair":"#d9b464","style":"long","necklace":true,"shirt":"#00838f"},"clue":"Có một <b>băng ghế</b> ở đâu đó trong <b>cột</b> của cô ấy. Cô ấy ở <b>Làn 3–4</b>.","job":"thợ làm tóc, Pin Pals","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Flo\"><rect width=\"80\" height=\"80\" fill=\"#35607a\"/><path d=\"M22 42 Q20 14 40 14 Q60 14 58 42 L62 72 L18 72 Z\" fill=\"#d9b464\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#00838f\"/><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=\"#f3d3b5\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#f3d3b5\"/><path d=\"M26 36 Q26 16 40 16 Q54 16 54 36 Q52 24 40 24 Q28 24 26 36 Z\" fill=\"#d9b464\"/><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\"/></svg>","solverRole":"bowler","constraints":[{"type":"col_has","obj":"bench"},{"type":"area","areas":["Lanes 3-4"]}]},{"id":"G","name":"Gus","gender":"M","role":"bowler","color":"#5d4037","avatar":{"bg":"#5a2a2a","skin":"#efc7a3","hair":"#8a8278","style":"bald","glasses":true,"mustache":true,"mustacheColor":"#8a8278","shirt":"#5d4037"},"clue":"<b>Đúng một hàng về phía bắc</b> của anh ấy có một người ở cạnh một <b>cái kệ</b>. Một người khác trong khu vực của anh ấy ở cạnh một <b>cái kệ</b>.","job":"nhân viên bán ô tô, đội trưởng Pin Pals","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Gus\"><rect width=\"80\" height=\"80\" fill=\"#5a2a2a\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#5d4037\"/><rect x=\"34\" y=\"44\" width=\"12\" height=\"13\" fill=\"#efc7a3\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#efc7a3\"/><path d=\"M26 30 Q26 22 30 20 L30 34 Q26 34 26 30 Z\" fill=\"#8a8278\"/><path d=\"M54 30 Q54 22 50 20 L50 34 Q54 34 54 30 Z\" fill=\"#8a8278\"/><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=\"#8a8278\"/></svg>","solverRole":"bowler","constraints":[{"type":"rel_any","dir":"N","exact":1,"beside":"shelf"},{"type":"with_beside","obj":"shelf"}]},{"id":"V","name":"Vicky","gender":"F","role":"victim","color":"#1b1b1b","avatar":{"bg":"#7a6a3c","skin":"#f6d8c0","hair":"#8a5a3a","style":"bob","glasses":true,"shirt":"#1b1b1b"},"clue":"<b>Nạn nhân.</b> Cô ấy ở một mình với hung thủ.","job":"thư ký của giải","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Vicky\"><rect width=\"80\" height=\"80\" fill=\"#7a6a3c\"/><path d=\"M22 40 Q22 14 40 14 Q58 14 58 40 L58 58 L22 58 Z\" fill=\"#8a5a3a\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#1b1b1b\"/><rect x=\"34\" y=\"44\" width=\"12\" height=\"13\" fill=\"#f6d8c0\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#f6d8c0\"/><path d=\"M26 36 Q26 16 40 16 Q54 16 54 36 Q52 24 40 24 Q28 24 26 36 Z\" fill=\"#8a5a3a\"/><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=\"M12 12 L68 68 M68 12 L12 68\" stroke=\"#e0362e\" stroke-width=\"5\" stroke-linecap=\"round\" opacity=\".9\"/></svg>","solverRole":"bowler","constraints":[]}],"victim":"V","murderer":"G","solution":{"F":[1,6],"D":[2,7],"E":[3,1],"C":[4,3],"V":[5,5],"G":[6,4],"A":[7,2],"B":[8,8]},"walkthrough":[{"place":["C","F","D"],"cand":{"A":[[7,2],[7,4],[7,8]],"B":[[6,8],[8,8]],"E":[[3,1],[3,2],[3,4],[3,5],[3,8],[5,1],[5,2],[5,4],[5,5],[6,1],[6,4],[6,8],[7,1],[7,2],[7,4],[7,5],[7,8],[8,2],[8,4],[8,8]],"G":[[5,1],[5,2],[5,4],[5,5],[6,1],[6,4],[7,1],[7,2],[7,4],[7,5],[8,2],[8,4]],"V":[[3,1],[3,2],[3,4],[3,5],[3,8],[5,1],[5,2],[5,4],[5,5],[6,1],[6,4],[6,8],[7,1],[7,2],[7,4],[7,5],[7,8],[8,2],[8,4],[8,8]]},"text":"Chuck had the trophy in his column and was beside a ball rack. The trophy is at R6C3, so he is in column 3; the ball racks are at R4C4 and R8C5, and the only column-3 square beside one (in the same area) is R4C3: <b>Chuck is at R4C3.</b> Flo had a bench in her column and was on Lanes 3–4. The benches are at R4C2 and R4C6, and the only square of Lanes 3–4 in column 2 or 6 that can be occupied is R1C6 (R2C6 is the scoreboard): <b>Flo is at R1C6.</b> Destiny was in the Arcade, where R1C7 is the arcade cabinet and R2C8 the pinball machine, so she is at R1C8 or R2C7. R1C8 is in Flo's row, so <b>Destiny is at R2C7.</b>"},{"place":["B"],"cand":{"A":[[7,2],[7,4]],"E":[[3,1],[3,2],[3,4],[3,5],[5,1],[5,2],[5,4],[5,5]],"G":[[6,1],[6,4]],"V":[[3,1],[3,2],[3,4],[3,5],[5,1],[5,2],[5,4],[5,5]]},"text":"Arnold was not beside a shelf and had a bar stool in his row; the bar stool is at R7C8, so he is in row 7. Columns 3, 6 and 7 are taken by Chuck, Flo and Destiny, so his squares are R7C2, R7C4 and R7C8, all in row 7: the row is his, and R7C1, R7C3, R7C5, R7C6 and R7C7 are empty for everybody. Brandy was beside the bar stool, which means R6C8, R7C7 or R8C8. Column 7 belongs to Destiny, so R6C8 and R8C8 are left, both in column 8: the column is hers, and R1C8, R3C8, R4C8 and R7C8 are empty. Gus said that exactly one row north of him somebody was beside a shelf, and that somebody else in his area was beside one too. The shelves are at R8C1 and R6C5, so the squares beside a shelf (in the same area) are R7C1, R8C2, R5C5, R6C4 and R7C5. R7C1 and R7C5 are empty (row 7 is Arnold's, and he was not beside a shelf); with somebody at R8C2 Gus would have to be in a row 9 that does not exist; with somebody at R6C4 he would be in row 7, which is Arnold's. So that person is at R5C5 and Gus is in row 6: R5C1, R5C2, R5C4, R5C5, R8C2 and R8C4 drop out for him. His two squares R6C1 and R6C4 are both in row 6: the row is his, and R6C6 and R6C8 are empty. Brandy loses R6C8: <b>Brandy is at R8C8.</b>"},{"place":["G","A"],"cand":{"E":[[3,1],[3,5],[5,1],[5,5]],"V":[[3,1],[3,5],[5,1],[5,5]]},"text":"Could Gus be at R6C1, in the Front Desk? Then somebody else from the Front Desk would have to be beside the shelf R8C1, at R7C1 or R8C2. Nobody can be there: row 7 is Arnold's and he was not beside a shelf, row 8 is Brandy's, and Elvis and Vicky are out of rows 7 and 8 - everybody else is already placed. So R6C1 drops out: <b>Gus is at R6C4.</b> That also uses up column 4, so Arnold loses R7C4: <b>Arnold is at R7C2.</b>"},{"place":["E"],"cand":{"V":[[5,5]]},"text":"Gus is in the Pro Shop (R6C4), and somebody else in the Pro Shop was beside a shelf. The shelf is at R6C5, and the squares beside it are R5C5, R7C5 and R6C4, which is Gus himself. R7C5 is in Arnold's row, so R5C5 is occupied, and only Elvis and Vicky are left to be on it. Its row and column are therefore taken: R3C5 and R5C1 drop out for both of them, and each is left with R3C1 or R5C5. Elvis said he was alone in his area. R5C5 is in the Pro Shop, where Gus certainly is, so Elvis would not be alone there: R5C5 drops out for him, and <b>Elvis is at R3C1</b>, alone on Lanes 1–2."},{"place":["V"],"cand":{},"text":"Only Vicky is left, and the only free square is R5C5: <b>Vicky is at R5C5</b> – in the Pro Shop, beside the shelf at R6C5, with Gus."},{"final":true,"text":"Case closed: Gus, captain of the Pin Pals, was alone with Vicky in the Pro Shop – she had found that his suspiciously high scores did not add up. <b>Gus is the murderer!</b>"}],"solver":{"rules":[],"occupiable":["bench","chair","stool"]},"verification":{"tool":"tools/murdoku_solver.py","unique":true,"guessFree":true,"checked":"2026-10-19"},"score":4.1131}