{"format":"murdoku-puzzle/1","id":"midnight-waltz","version":1,"difficulty":"hard","level":8,"size":{"rows":16,"cols":16},"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":"午夜华尔兹","tagline":"除夕之夜 · 温特霍尔宫 · 午夜","author":"mathace","concept":"Murdoku – Manuel Garand (murdoku.com); unofficial fan-made case","created":"2026-09-15","story":"温特霍尔宫的除夕舞会。午夜钟声敲响时，主人Vernon勋爵被发现死在镜厅的沙发上。当时屋里有十五位客人：七对舞伴正在跳华尔兹——而有一位客人根本没有跳舞，因为他/她正与主人单独在一起。请阅读陈述，在平面图上找出每个人的确切位置，揭穿凶手：凶手曾在镜厅与Vernon单独在一起。","rules":{"standard":["每一<b>行</b>和每一<b>列</b>恰好有<b>一个人</b>。一旦放置了某人，就划掉其所在的整行和整列。","<b>“旁边”</b>＝正左、正右、正上或正下，且<b>在同一区域内</b>。有家具的格子（花箱、桌子、柱子、衣架等）不能被占用；长凳、椅子、扶手椅、沙发和门垫可以。","方向指的是行和列，不必在同一直线上：<i>“他在她的北边”</i>＝在更靠上的某一行，列不限；<i>“在他的东边”</i>＝在更靠右的某一列，行不限。","凶手曾与<b>受害者单独在一起</b>：该区域内没有其他人。"],"special":["除受害者和凶手外，所有人都在<b>成对跳舞</b>。一对舞伴在<b>对角相接的两个格子</b>上（角与角相碰），<b>在同一区域内</b>。一对舞伴总是<b>一位绅士和一位女士</b>，且<b>绅士在他的女士的北边</b>——正上方的那一行。","<b>没有人与其他任何人角对角相碰</b>：跳舞者唯一的对角邻居就是其舞伴，而受害者和凶手根本没有对角邻居。"]},"roleNames":{"lady":"女士","gentleman":"绅士","host":"主人","victim":"受害者"},"personGroups":[{"id":"ladies","name":"女士们","persons":["A","B","C","D","E","F","G","H"]},{"id":"gentlemen","name":"绅士们","persons":["I","J","K","L","M","N","O"]},{"id":"host","name":"主人","persons":["V"]}],"map":{"groups":[{"id":"north","name":"北翼","style":"building"},{"id":"middle","name":"舞厅层","style":"building"},{"id":"south","name":"南翼","style":"building"},{"id":"front","name":"入口","style":"building"}],"gaps":[],"areas":[{"id":"Terrace","cells":[[1,1],[1,2],[1,3],[1,4],[2,1],[2,2],[2,3],[2,4],[3,1],[3,2],[3,3],[3,4]],"fill":"#d7e4cf","pattern":"tiles","group":"north","name":"露台"},{"id":"Gallery","cells":[[1,5],[1,6],[1,7],[1,8],[1,9],[1,10],[1,11],[1,12]],"fill":"#e2cfa8","pattern":"planks","group":"north","name":"乐师廊"},{"id":"Library","cells":[[1,13],[1,14],[1,15],[1,16],[2,13],[2,14],[2,15],[2,16],[3,13],[3,14],[3,15],[3,16]],"fill":"#e9dcc4","group":"north","name":"书房"},{"id":"Ballroom","cells":[[2,5],[2,6],[2,7],[2,8],[2,9],[2,10],[2,11],[2,12],[3,5],[3,6],[3,7],[3,8],[3,9],[3,10],[3,11],[3,12],[4,5],[4,6],[4,7],[4,8],[4,9],[4,10],[4,11],[4,12],[5,5],[5,6],[5,7],[5,8],[5,9],[5,10],[5,11],[5,12],[6,5],[6,6],[6,7],[6,8],[6,9],[6,10],[6,11],[6,12],[7,5],[7,6],[7,7],[7,8],[7,9],[7,10],[7,11],[7,12],[8,5],[8,6],[8,7],[8,8],[8,9],[8,10],[8,11],[8,12]],"fill":"#f4e6c8","pattern":"planks","group":"middle","name":"大舞厅"},{"id":"Card 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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":"guest","constraints":[{"type":"beside","obj":"pillar"}]},{"id":"M","name":"Martin","gender":"M","role":"gentleman","color":"#00695c","avatar":{"bg":"#4e4e7a","skin":"#8a5a3c","hair":"#1a1210","style":"short","shirt":"#1b1b1b","bow":true,"mustache":true},"clue":"他在<b>餐厅</b>里跳舞。","job":"医生","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Martin\"><rect width=\"80\" height=\"80\" fill=\"#4e4e7a\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#1b1b1b\"/><path d=\"M40 60 l-8 -4 v8 z M40 60 l8 -4 v8 z\" fill=\"#b8302b\"/><circle cx=\"40\" cy=\"60\" r=\"2\" fill=\"#7a1f1c\"/><rect x=\"34\" y=\"44\" width=\"12\" height=\"13\" fill=\"#8a5a3c\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#8a5a3c\"/><path d=\"M26 32 Q26 15 40 15 Q54 15 54 32 Q50 24 40 24 Q30 24 26 32 Z\" fill=\"#1a1210\"/><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\"/></svg>","solverRole":"guest","constraints":[{"type":"area","areas":["Dining Room"]}]},{"id":"N","name":"Nathan","gender":"M","role":"gentleman","color":"#b71c1c","avatar":{"bg":"#7a1f3c","skin":"#e8bf9a","hair":"#2a1d16","style":"short","shirt":"#1b1b1b","bow":true},"clue":"他在<b>Oswald的北边</b>。","job":"律师","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Nathan\"><rect width=\"80\" height=\"80\" fill=\"#7a1f3c\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#1b1b1b\"/><path d=\"M40 60 l-8 -4 v8 z M40 60 l8 -4 v8 z\" fill=\"#b8302b\"/><circle cx=\"40\" cy=\"60\" r=\"2\" fill=\"#7a1f1c\"/><rect x=\"34\" y=\"44\" width=\"12\" height=\"13\" fill=\"#e8bf9a\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#e8bf9a\"/><path d=\"M26 32 Q26 15 40 15 Q54 15 54 32 Q50 24 40 24 Q30 24 26 32 Z\" fill=\"#2a1d16\"/><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":"guest","constraints":[{"type":"rel","q":"O","dir":"N"}]},{"id":"O","name":"Oswald","gender":"M","role":"gentleman","color":"#37474f","avatar":{"bg":"#8a5a2a","skin":"#e9c6a4","hair":"#c9c3b8","style":"bald","shirt":"#1b1b1b","bow":true,"glasses":true,"mustache":true,"mustacheColor":"#8a8a8a"},"clue":"他在<b>Martin的东边</b>。","job":"教授","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Oswald\"><rect width=\"80\" height=\"80\" fill=\"#8a5a2a\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#1b1b1b\"/><path d=\"M40 60 l-8 -4 v8 z M40 60 l8 -4 v8 z\" fill=\"#b8302b\"/><circle cx=\"40\" cy=\"60\" r=\"2\" fill=\"#7a1f1c\"/><rect x=\"34\" y=\"44\" width=\"12\" height=\"13\" fill=\"#e9c6a4\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#e9c6a4\"/><path d=\"M26 30 Q26 22 30 20 L30 34 Q26 34 26 30 Z\" fill=\"#c9c3b8\"/><path d=\"M54 30 Q54 22 50 20 L50 34 Q54 34 54 30 Z\" fill=\"#c9c3b8\"/><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=\"#8a8a8a\"/></svg>","solverRole":"guest","constraints":[{"type":"rel","q":"M","dir":"E"}]},{"id":"V","name":"Vernon","gender":"M","role":"victim","color":"#1b1b1b","avatar":{"bg":"#3a4a3a","skin":"#e4b998","hair":"#cfcfd2","style":"slick","shirt":"#22406f","bow":true,"mustache":true,"mustacheColor":"#bdbdbd"},"clue":"<b>受害者。</b>他被发现在镜厅的<b>沙发</b>上——与凶手单独在一起。","job":"主人","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Vernon\"><rect width=\"80\" height=\"80\" fill=\"#3a4a3a\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#22406f\"/><path d=\"M40 60 l-8 -4 v8 z M40 60 l8 -4 v8 z\" fill=\"#b8302b\"/><circle cx=\"40\" cy=\"60\" r=\"2\" fill=\"#7a1f1c\"/><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 Q27 16 44 15 Q56 15 55 26 Q48 22 40 23 Q30 24 26 30 Z\" fill=\"#cfcfd2\"/><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=\"#bdbdbd\"/><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":"on","obj":"sofa"}]}],"victim":"V","murderer":"D","solution":{"I":[1,4],"A":[2,3],"J":[3,7],"B":[4,8],"K":[5,12],"C":[6,11],"L":[7,5],"E":[8,6],"D":[9,10],"M":[10,14],"F":[11,13],"V":[12,9],"N":[13,2],"G":[14,1],"O":[15,15],"H":[16,16]},"walkthrough":[{"place":["V"],"focus":{"group":"south"},"text":"Vernon躺在<b>沙发</b>上：<b>R12C9</b>，在镜厅里。凶手曾在那里与他单独在一起。数一数客人：七位绅士和八位女士。每一对都是一位绅士加一位女士，所以七位绅士都在跳舞——没有跳舞的人，也就是凶手，是<b>八位女士</b>之一。"},{"text":"关键思路：舞伴角对角相碰，所以每一对舞伴占据<b>相邻的两行</b>和<b>相邻的两列</b>。只有Vernon的行（第12行）和凶手的行是“单独”的；其余十四行分成七对相邻的行，因此两个单独行之上、之间和之下的行段长度都是偶数。第12行是偶数，所以凶手的行是<b>奇数且在Vernon之上</b>：第9行或第11行（第1–8行配成1–2、3–4、5–6、7–8，然后是10–11或9–10，再然后是13–14和15–16）。列也一样：第9列是奇数，所以凶手的列是<b>偶数且在右边</b>：10或12。凶手在<b>R9C10、R9C12或R11C12</b>（R11C10会与Vernon角对角相碰）。进一步的推论：每对舞伴的绅士在其行对的上面一行，所以绅士们在第1、3、5、7、13、15行（以及第9或10行），女士们在第2、4、6、8、14、16行（以及第10或11行）；只有一格宽的乐师廊、西走廊和阳台容不下一对舞伴，因此是空的——楼梯间也一样，楼梯和盆栽没有留下任何对角格子对。"},{"place":["G","I","A"],"text":"第13行和第14行组成一对，同时包含这两行且能容纳一对舞伴的唯一区域是<b>衣帽间</b>：R13C4和R14C4的柜台排除了第3–4列，所以这对舞伴在第1–2列——绅士在R13C1或R13C2，女士在R14C2或R14C1。Grace在一个衣架旁边：她就是那位女士，<b>Grace R14C1</b>（在R15C1的衣架旁边），她的舞伴在R13C2。第1–2列已用完。第1–2行也是一对：露台或书房。Ian在一个花箱旁边，作为绅士他在上面一行——R1C4（若在R3C2，他的舞伴就会在第4行，在露台之外）：<b>Ian R1C4</b>，<b>与他跳舞的Alice R2C3</b>。第3–4列对现已被占用，所以牌室和吸烟室（第2–4列）容不下任何一对舞伴：两者都是空的。"},{"place":["F","M"],"text":"中间的行对（9–10或10–11）需要一个包含这些行的区域：吸烟室是空的，镜厅是Vernon的，所以这对舞伴在<b>餐厅</b>里跳舞——Martin是其中的绅士。Felicity在一座壁炉旁边：不在空的吸烟室里，所以<b>Felicity R11C13</b>，在餐厅的壁炉旁边。第11行是跳舞者的行，所以凶手在<b>第9行</b>，中间的行对是10–11：<b>Martin R10C14</b>（R10C12属于镜厅）。餐厅的这对舞伴占用第13–14列，所以暖房花园（第13–15列）是空的；书房需要第1–2行，而那是Alice和Ian的——也是空的。"},{"place":["O","H","N"],"cand":{"J":[[3,7],[5,7]],"B":[[4,8],[6,8]],"K":[[3,12],[5,12],[7,12]],"L":[[3,5],[7,5],[3,12],[5,12],[7,12]]},"text":"第15–16行：Harriet在和Oswald跳舞，而Oswald在Martin（第14列）的东边，所以他们这对占用第15–16列——只有<b>自助餐台</b>同时拥有这些行和列：<b>Oswald R15C15，Harriet R16C16</b>（R15C16是盆栽）。R13C2的绅士：Jeremy、Kenneth和Lucas都在舞厅里（Jeremy的舞伴Bridget在一张桌子旁边，而舞厅之外的桌子都在空房间或已满的房间里；Kenneth和Lucas旁边的柱子在舞厅里——镜厅的柱子绅士够不到），所以Grace的舞伴是<b>Nathan，R13C2</b>——正如他所说，在Oswald的北边。"},{"cand":{"J":[[3,7],[5,7]],"B":[[4,8],[6,8]],"K":[[3,12],[5,12],[7,12]],"L":[[3,5],[7,5]]},"text":"舞厅容纳行对3–4、5–6和7–8的三对舞伴，使用列对5–6、7–8和中间的列对（10–11或11–12）。Bridget在女士行，在香槟桌（R5C8–9）旁边：R4C8或R6C8（第9列是Vernon的），所以<b>Jeremy在R3C7或R5C7</b>，他们这对占用第7–8列。Kenneth在Jeremy的东边且在柱子旁边：R3C12、R5C12或R7C12——在<b>第12列</b>。第12列是跳舞者的列，所以中间的列对是11–12，凶手的列是10：凶手在<b>R9C10</b>。Lucas在柱子旁边，而第12列已被占用，所以他在R3C5或R7C5——第5–6列。"},{"place":["B","J","L","K"],"cand":{"C":[[6,11],[8,6]],"E":[[6,11],[8,6]]},"text":"Bridget在Celia的北边，Eleanor在Bridget的南边。如果Bridget在R6C8，Celia和Eleanor就都得在第8行——不可能。所以<b>Bridget R4C8，Jeremy R3C7</b>。第3行是Jeremy的，所以<b>Lucas R7C5</b>，第3行和第7行被占用后，<b>Kenneth R5C12</b>。"},{"place":["C","E","D"],"text":"Kenneth的舞伴在R6C11，Lucas的舞伴在R8C6（R6C13和R8C4在舞厅之外）。Celia在Lucas（第7行）的北边：<b>Celia R6C11</b>，与Kenneth跳舞；<b>Eleanor R8C6</b>与Lucas跳舞——正如她所说，在Bridget的南边。Delia是没有人与之跳舞的女士：她在镜厅与Vernon单独在一起，在<b>R9C10</b>——的确在Eleanor的东边。<b>Delia就是凶手。</b>"},{"final":true,"text":"结案。七对舞伴、七个行对和七个列对：华尔兹的多米诺结构在放置任何一位跳舞者之前就圈定了凶手的格子，列对决定了哪些房间空着，而Delia——唯一没有舞伴的女士——曾在镜厅与Vernon单独在一起。"}],"solver":{"rules":[{"type":"couples","opposite_gender":true,"man_north":true}],"groups":{"North wing":["Terrace","Gallery","Library"],"Middle":["Ballroom","Card Room","West Corridor","Winter Garden","Balcony"],"South wing":["Smoking Room","Mirror Hall","Dining Room"],"Front of house":["Cloakroom","Staircase","Entrance Hall","Buffet"]},"occupiable":["bench","chair","armchair","sofa","doormat"]},"verification":{"tool":"tools/murdoku_solver.py","unique":true,"guessFree":true,"checked":"2026-09-15"}}