{"format":"murdoku-puzzle/1","id":"strand","version":1,"difficulty":"medium","level":6,"size":{"rows":10,"cols":10},"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":"巴拉顿沙滩","tagline":"巴拉顿湖畔的沙滩 · 1978年8月的一个午后 · 兰戈什凉了","author":"mathace","concept":"Murdoku – Manuel Garand (murdoku.com); unofficial fan-made case","created":"2026-09-29","story":"巴拉顿湖，1978年8月。沙滩上连最后一张躺椅都占满了：来自布达佩斯的度假者，每年夏天都在这里与西边亲戚相聚的东德游客，从自助餐台飘来的兰戈什香味，还有在水面上摇晃的脚踏船。沙滩管理员Valér知道每个人的小秘密——谁无证出租房间，谁在白杨树下兑换西德马克。午后的酷热中，他被发现在租船处，售票亭旁边。沙滩上的每个人都作了陈述——找出是谁与他独处。","rules":{"standard":["每一<b>行</b>和每一<b>列</b>恰好有<b>一个人</b>。一旦放下某人，就划掉他所在的整行和整列。","<b>“旁边”</b> = 正左、正右、正上或正下，并且<b>在同一个区域内</b>。有物件的方格（芦苇、水、灯、橡皮艇、遮阳伞、售票亭、白杨、储物柜、桌子、滑梯、淋浴、柜台、冰箱、自行车）不能有人；脚踏船、划艇、躺椅、长椅、凳子和秋千上则可以有人。","方向指的是行和列，而不必在同一条直线上：<i>“他以北恰好一行处有一个女人”</i> = 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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\"/><rect x=\"26\" y=\"23\" width=\"28\" height=\"5\" rx=\"2\" fill=\"#f4efe6\"/></svg>","solverRole":"holidaymaker","constraints":[{"type":"not_beside","obj":"bench"}]},{"id":"D","name":"Donát","gender":"M","role":"holidaymaker","color":"#6a1b9a","avatar":{"bg":"#5d4037","skin":"#e4b998","hair":"#d9d4cc","style":"bald","shirt":"#f4efe6","mustache":true,"mustacheColor":"#d9d4cc"},"clue":"他<b>以北恰好一行</b>处有一名<b>东德游客</b>。","job":"退休铁路工人","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Donát\"><rect width=\"80\" height=\"80\" fill=\"#5d4037\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#f4efe6\"/><rect x=\"34\" y=\"44\" width=\"12\" height=\"13\" fill=\"#e4b998\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#e4b998\"/><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\"/><path d=\"M33 41 Q40 37 47 41 Q40 43 33 41 Z\" fill=\"#d9d4cc\"/></svg>","solverRole":"holidaymaker","constraints":[{"type":"rel_any","dir":"N","exact":1,"role":"tourist"}]},{"id":"E","name":"Edda","gender":"F","role":"tourist","color":"#e65100","avatar":{"bg":"#5b2c6f","skin":"#f6d8c0","hair":"#b7482c","style":"curly","shirt":"#2e7d32","earrings":true},"clue":"她是坐在<b>脚踏船</b>上的<b>唯一女性</b>。","job":"来自莱比锡的护士","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Edda\"><rect width=\"80\" height=\"80\" fill=\"#5b2c6f\"/><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=\"#f6d8c0\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#f6d8c0\"/><path d=\"M25 34 q-3 -8 4 -10 q0 -8 8 -7 q3 -4 8 -1 q6 -3 9 3 q7 0 5 8 q4 4 -1 9 q-6 -14 -16 -12 q-9 -1 -17 10 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=\"26\" cy=\"41\" r=\"1.8\" fill=\"#f0c95a\"/><circle cx=\"54\" cy=\"41\" r=\"1.8\" fill=\"#f0c95a\"/></svg>","solverRole":"tourist","constraints":[{"type":"only_on","obj":"pedalo","gender":"F"}]},{"id":"F","name":"Falk","gender":"M","role":"tourist","color":"#00838f","avatar":{"bg":"#2f4858","skin":"#f1c8a5","hair":"#8a5a2b","style":"short","shirt":"#c62828","beard":true},"clue":"他是<b>唯一</b>在<b>白杨</b>旁边的人。","job":"来自德累斯顿的汽车修理工","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Falk\"><rect width=\"80\" height=\"80\" fill=\"#2f4858\"/><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=\"#f1c8a5\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#f1c8a5\"/><path d=\"M26 32 Q26 15 40 15 Q54 15 54 32 Q50 24 40 24 Q30 24 26 32 Z\" fill=\"#8a5a2b\"/><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=\"#8a5a2b\"/></svg>","solverRole":"tourist","constraints":[{"type":"only_beside","obj":"tree"}]},{"id":"G","name":"Gitta","gender":"F","role":"staff","color":"#ad1457","avatar":{"bg":"#7a5a2c","skin":"#f3d3b5","hair":"#2b1d14","style":"bun","shirt":"#f4efe6","apron":true},"clue":"她在<b>柜台</b>旁边。","job":"兰戈什师傅","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Gitta\"><rect width=\"80\" height=\"80\" fill=\"#7a5a2c\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#f4efe6\"/><path d=\"M28 80 L30 62 Q40 58 50 62 L52 80 Z\" fill=\"#f4efe6\"/><rect x=\"34\" y=\"44\" width=\"12\" height=\"13\" fill=\"#f3d3b5\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#f3d3b5\"/><circle cx=\"40\" cy=\"15\" r=\"7\" fill=\"#2b1d14\"/><path d=\"M26 32 Q26 16 40 16 Q54 16 54 32 Q50 24 40 24 Q30 24 26 32 Z\" fill=\"#2b1d14\"/><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":"staff","constraints":[{"type":"beside","obj":"counter"}]},{"id":"H","name":"Huba","gender":"M","role":"staff","color":"#5d4037","avatar":{"bg":"#00838f","skin":"#d9a57a","hair":"#1c1a1a","style":"short","shirt":"#c62828","whistle":true,"beard":true},"clue":"他在<b>栈桥</b>上。","job":"救生员","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Huba\"><rect width=\"80\" height=\"80\" fill=\"#00838f\"/><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=\"#d9a57a\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#d9a57a\"/><path d=\"M26 32 Q26 15 40 15 Q54 15 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\"/><path d=\"M27 38 Q30 52 40 53 Q50 52 53 38 Q50 47 40 48 Q30 47 27 38 Z\" fill=\"#1c1a1a\"/><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":"area","areas":["Pier"]}]},{"id":"I","name":"Ildikó","gender":"F","role":"staff","color":"#455a64","avatar":{"bg":"#ad1457","skin":"#f6d8c0","hair":"#8a8278","style":"bob","shirt":"#4a5a7a","glasses":true,"necklace":true},"clue":"她的<b>列</b>中的某处有一艘<b>脚踏船</b>。","job":"收银员","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=\"#ad1457\"/><path d=\"M22 40 Q22 14 40 14 Q58 14 58 40 L58 58 L22 58 Z\" fill=\"#8a8278\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#4a5a7a\"/><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\"/><path d=\"M26 36 Q26 16 40 16 Q54 16 54 36 Q52 24 40 24 Q28 24 26 36 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\"/></svg>","solverRole":"staff","constraints":[{"type":"col_has","obj":"pedalo"}]},{"id":"V","name":"Valér","gender":"M","role":"victim","color":"#1b1b1b","avatar":{"bg":"#5a2a2a","skin":"#e0b48c","hair":"#8a8278","style":"slick","shirt":"#f4efe6","mustache":true,"mustacheColor":"#8a8278","cap":true},"clue":"<b>受害者。</b>他被发现在<b>租船处</b>，<b>售票亭</b>旁边——与凶手独处。","job":"沙滩管理员","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Valér\"><rect width=\"80\" height=\"80\" fill=\"#5a2a2a\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#f4efe6\"/><rect x=\"34\" y=\"44\" width=\"12\" height=\"13\" fill=\"#e0b48c\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#e0b48c\"/><path d=\"M26 30 Q27 16 44 15 Q56 15 55 26 Q48 22 40 23 Q30 24 26 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\"/><path d=\"M33 41 Q40 37 47 41 Q40 43 33 41 Z\" fill=\"#8a8278\"/><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\"/><path d=\"M12 12 L68 68 M68 12 L12 68\" stroke=\"#e0362e\" stroke-width=\"5\" stroke-linecap=\"round\" opacity=\".9\"/></svg>","solverRole":"staff","constraints":[{"type":"area","areas":["Boat Rental"]},{"type":"beside","obj":"booth"}]}],"victim":"V","murderer":"B","solution":{"E":[1,4],"D":[2,8],"H":[3,5],"V":[4,9],"B":[5,10],"A":[6,3],"F":[7,6],"C":[8,1],"G":[9,2],"I":[10,7]},"walkthrough":[{"place":["D","A"],"cand":{"V":[[3,10],[4,9]],"E":[[1,4],[1,7]],"G":[[9,2],[9,4]],"H":[[3,4],[3,5],[3,6],[3,7],[4,6]],"F":[[7,6],[8,7],[10,9]],"I":[[5,4],[5,7],[7,4],[7,7],[10,7]],"B":[[5,1],[5,2],[5,4],[5,5],[5,6],[5,7],[5,9],[5,10],[7,1],[7,2],[7,4],[7,5],[7,7],[7,9],[7,10],[8,1],[8,2],[8,5],[8,10],[10,1],[10,2],[10,6],[10,7]],"C":[[5,1],[5,2],[5,4],[5,5],[5,6],[5,7],[5,9],[5,10],[7,2],[7,4],[7,5],[7,7],[7,9],[8,1],[8,5],[8,10],[10,1],[10,2],[10,6],[10,7]]},"text":"Valér被发现在租船处的售票亭旁边——R2C9、R3C8、R3C10或R4C9——凶手当时在那里与他独处：租船处恰好有两个人。柜台在R9C3，所以第3列是Ágota的列，而她在遮阳伞旁边，所以在R4C3或R6C3。Gitta在柜台旁边，不能用第3列，所以她在R9C2或R9C4：第9行是她的。现在用总规则：恰好两个人坐在脚踏船上。Edda是其中之一，也是唯一的女性，所以另一个是男人。Falk在白杨旁边，Huba在栈桥上，Valér在租船处；而Balázs与一名员工独处，可是所有脚踏船所在的湖里已经有两个坐在脚踏船上的人，其中包括游客Edda——所以Balázs不在湖里。剩下Donát：一名游客在他以北恰好一行处，所以他不在第1行，而R2C3的脚踏船在Ágota的列中，所以<b>Donát在R2C8</b>。第1行的游客不可能是Falk，所以是Edda，在R1C4或R1C7的脚踏船上。第2行和第8列现在属于Donát，于是Valér只剩R3C10和R4C9；栈桥的方格全在第3行和第4行（灯在R2C6），所以这两行属于Huba和Valér。Ágota不可能在R4C3：<b>Ágota在R6C3</b>。"},{"place":["G","V"],"cand":{"E":[[1,4],[1,7]],"H":[[3,5],[3,6]],"F":[[7,6]],"I":[[7,4],[7,7],[10,7]],"B":[[5,10],[7,1],[7,5],[8,1],[8,5],[10,1],[10,6]],"C":[[5,10],[7,5],[8,1],[8,5],[10,1],[10,6]]},"text":"Ildikó的列中的某处有一艘脚踏船。脚踏船在第3、4、7、8列，而第3列和第8列已被占用，所以她在第4列或第7列——和Edda一样。因此这两列属于Edda和Ildikó，Gitta不可能在R9C4：<b>Gitta在R9C2</b>。回到租船处：除去Donát的行和列，它的空方格是R3C10、R4C9、R4C10和R5C10。第3行和第4行属于Huba和Valér，所以凶手——不管是谁——只能在R5C10。这样第10列被占用，Valér不在R3C10：<b>Valér在R4C9</b>，Huba在第3行。谁在R5C10？其他所有人现在都已被绑在沙滩的其他地方——只有Balázs或Csenge可能在那里。"},{"place":["F","H"],"cand":{"E":[[1,4],[1,7]],"I":[[10,7]],"B":[[5,10],[8,1],[10,1]],"C":[[5,10],[8,1],[10,1]]},"text":"第7、8、10行仍是空的；列中是第1、5、6列——以及属于Edda和Ildikó的第4列和第7列。Falk在白杨旁边，三棵白杨旁边的方格是R4C7、R5C8、R7C6、R8C7、R9C6、R9C10和R10C9。第4、5、9行和第8、9列已被占用，第7列不是他的，所以只剩一个：<b>Falk在R7C6</b>。Huba在第3行的栈桥上：R3C4、R3C5、R3C6或R3C7。第4列和第7列属于Edda和Ildikó，第6列现在是Falk的：<b>Huba在R3C5</b>。"},{"place":["I","E"],"cand":{"B":[[5,10],[8,1]],"C":[[5,10],[8,1]]},"text":"只有第8行和第10行仍是空的。Ildikó在第4列或第7列，但在这两行中，第4列有桌子（R8C4）和冰箱（R10C4）。在第7列，R8C7在R8C6的白杨旁边，而只有Falk在白杨旁边。所以<b>Ildikó在R10C7</b>，R1C7的脚踏船在她的列中。第7列是她的，Edda取第4列：<b>Edda在R1C4</b>。她和Donát就是坐在脚踏船上的那两个人——正如总规则所说。"},{"place":["C","B"],"text":"还剩两个人，Balázs和Csenge，以及两个方格：租船处的R5C10和更衣室的R8C1，后者是第8行和第1列唯一的空方格。在R8C1的人是更衣室里唯一的人。Balázs与一名员工独处，所以他不可能单独在那里：<b>Csenge在R8C1</b>——正如她所说，不在长椅旁边，因为R7C2的长椅只与她的方格斜角相接。所以在租船处能与Valér独处的只有Balázs：<b>Balázs在R5C10</b>。他的陈述甚至是真的——沙滩管理员Valér是一名员工。"},{"final":true,"text":"案件告破：Valér在租船处，独自和工程师在一起。<b>Balázs是凶手！</b>"}],"solver":{"rules":[{"type":"count_on","obj":"pedalo","n":2}],"occupiable":["bench","boat","lounger","pedalo","stool","swing"]},"verification":{"tool":"tools/murdoku_solver.py","unique":true,"guessFree":true,"checked":"2026-09-29"}}