{"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":"Der Mitternachtswalzer","tagline":"Silvester · Schloss Winterhall · Mitternacht","author":"mathace","concept":"Murdoku – Manuel Garand (murdoku.com); unofficial fan-made case","created":"2026-09-15","story":"Silvesterball auf Schloss Winterhall. Beim Schlag zwölf wird der Gastgeber, Lord Vernon, tot auf dem Sofa im Spiegelsaal gefunden. Fünfzehn Gäste waren im Haus: sieben Paare tanzten Walzer – und ein Gast tanzte gar nicht, denn er oder sie war allein beim Gastgeber. Lies die Aussagen, finde die genaue Position aller Personen auf dem Plan und entlarve den Mörder: Er oder sie war mit Vernon allein im Spiegelsaal.","rules":{"standard":["In jeder <b>Zeile</b> und jeder <b>Spalte</b> ist genau <b>eine Person</b>. Sobald du jemanden platziert hast, streiche die ganze Zeile und Spalte.","<b>„Neben“</b> = direkt links, rechts, darüber oder darunter, und <b>im selben Bereich</b>. Felder mit Möbeln (Pflanzkübel, Tische, Säulen, Garderobenständer …) können nicht besetzt werden; Bänke, Stühle, Sessel, das Sofa und die Fußmatten schon.","Richtungen beziehen sich auf Zeilen und Spalten, nicht auf dieselbe Linie: <i>„er war nördlich von ihr“</i> = in einer Zeile weiter oben, in irgendeiner Spalte; <i>„östlich von ihm“</i> = in einer Spalte weiter rechts, in irgendeiner Zeile.","Der Mörder war <b>mit dem Opfer allein</b>: niemand sonst befand sich in diesem Bereich."],"special":["Alle außer dem Opfer und dem Mörder <b>tanzten als Paar</b>. Die beiden Partner sind auf <b>diagonal berührenden Feldern</b> (Ecke an Ecke) <b>im selben Bereich</b>. Ein Paar besteht immer aus <b>einem Herrn und einer Dame</b>, und der <b>Herr ist nördlich von seiner Dame</b> – in der Zeile direkt über ihr.","<b>Niemand berührt sonst jemanden Ecke an Ecke</b>: Der einzige diagonale Nachbar eines Tänzers ist sein Partner, und das Opfer und der Mörder haben gar keinen diagonalen Nachbarn."]},"roleNames":{"lady":"Dame","gentleman":"Herr","host":"Gastgeber","victim":"Opfer"},"personGroups":[{"id":"ladies","name":"Damen","persons":["A","B","C","D","E","F","G","H"]},{"id":"gentlemen","name":"Herren","persons":["I","J","K","L","M","N","O"]},{"id":"host","name":"Der 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fill=\"#1c1a1a\"/></svg>","solverRole":"guest","constraints":[{"type":"beside","obj":"pillar"}]},{"id":"L","name":"Lucas","gender":"M","role":"gentleman","color":"#4e342e","avatar":{"bg":"#2f5d7c","skin":"#e9c6a4","hair":"#5a3a22","style":"slick","shirt":"#1b1b1b","bow":true,"glasses":true},"clue":"Er war neben einer <b>Säule</b>.","job":"Architekt","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Lucas\"><rect width=\"80\" height=\"80\" fill=\"#2f5d7c\"/><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 Q27 16 44 15 Q56 15 55 26 Q48 22 40 23 Q30 24 26 30 Z\" fill=\"#5a3a22\"/><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":"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":"Er tanzte im <b>Speisesaal</b>.","job":"Arzt","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":"Er war <b>nördlich von Oswald</b>.","job":"Anwalt","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":"Er war <b>östlich von Martin</b>.","job":"Professor","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>Das Opfer.</b> Er wurde auf dem <b>Sofa</b> im Spiegelsaal gefunden – allein mit dem Mörder.","job":"der Gastgeber","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 liegt auf dem <b>Sofa</b>: <b>R12C9</b>, im Spiegelsaal. Der Mörder war dort mit ihm allein. Zähle die Gäste: sieben Herren und acht Damen. Jedes Paar besteht aus einem Herrn und einer Dame, also tanzen alle sieben Herren – wer nicht tanzt, der Mörder, ist eine der <b>acht Damen</b>."},{"text":"Die Schlüsselidee: Partner berühren sich Ecke an Ecke, also belegt jedes Paar <b>zwei benachbarte Zeilen</b> und <b>zwei benachbarte Spalten</b>. Nur Vernons Zeile (12) und die Zeile der Mörderin sind „einzeln“; die übrigen vierzehn Zeilen zerfallen in sieben Nachbarpaare, also haben die Zeilenabschnitte über, zwischen und unter den beiden einzelnen Zeilen alle gerade Länge. Zeile 12 ist gerade, also ist die Zeile der Mörderin <b>ungerade und über Vernons</b>: Zeile 9 oder 11 (die Zeilen 1–8 paaren sich als 1–2, 3–4, 5–6, 7–8, dann 10–11 oder 9–10, dann 13–14 und 15–16). Dasselbe gilt für Spalten: Spalte 9 ist ungerade, also ist die Spalte der Mörderin <b>gerade und rechts davon</b>: 10 oder 12. Die Mörderin ist auf <b>R9C10, R9C12 oder R11C12</b> (R11C10 würde Vernon Ecke an Ecke berühren). Weitere Folgen: Der Herr eines Paares ist in der oberen Zeile seines Zeilenpaares, also sind die Herren in den Zeilen 1, 3, 5, 7, 13, 15 (und 9 oder 10), die Damen in den Zeilen 2, 4, 6, 8, 14, 16 (und 10 oder 11); die ein Feld breite Empore, der Westflur und der Balkon können kein Paar aufnehmen und sind leer – ebenso das Treppenhaus, wo Treppe und Pflanze kein diagonales Feldpaar lassen."},{"place":["G","I","A"],"text":"Die Zeilen 13 und 14 bilden ein Paar, und der einzige Bereich, der beide Zeilen enthält und Platz für ein Paar hat, ist die <b>Garderobe</b>: Die Theken auf R13C4 und R14C4 schließen die Spalten 3–4 aus, also ist dieses Paar in den Spalten 1–2 – der Herr auf R13C1 oder R13C2, die Dame auf R14C2 oder R14C1. Grace ist neben einem Garderobenständer: Sie ist diese Dame, <b>Grace R14C1</b> (neben dem Ständer auf R15C1), und ihr Partner ist auf R13C2. Die Spalten 1–2 sind verbraucht. Auch die Zeilen 1–2 sind ein Paar: Terrasse oder Bibliothek. Ian ist neben einem Pflanzkübel, und als Herr in einer oberen Zeile – R1C4 (auf R3C2 wäre seine Partnerin in Zeile 4, außerhalb der Terrasse): <b>Ian R1C4</b> und <b>Alice, die mit ihm tanzt, R2C3</b>. Das Spaltenpaar 3–4 ist nun belegt, also können Kartenzimmer und Rauchsalon (Spalten 2–4) kein Paar aufnehmen: Beide sind leer."},{"place":["F","M"],"text":"Das mittlere Zeilenpaar (9–10 oder 10–11) braucht einen Bereich mit diesen Zeilen: Der Rauchsalon ist leer und der Spiegelsaal ist Vernons, also tanzt dieses Paar im <b>Speisesaal</b> – Martin ist sein Herr. Felicity ist neben einem Kamin: nicht im leeren Rauchsalon, also <b>Felicity R11C13</b>, neben dem Kamin des Speisesaals. Zeile 11 ist eine Tänzerzeile, also ist die Mörderin in <b>Zeile 9</b> und das mittlere Paar ist 10–11: <b>Martin R10C14</b> (R10C12 gehört zum Spiegelsaal). Das Speisesaal-Paar nutzt die Spalten 13–14, also ist der Wintergarten (Spalten 13–15) leer; die Bibliothek bräuchte die Zeilen 1–2, die Alice und Ian gehören – ebenfalls leer."},{"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":"Zeilen 15–16: Harriet tanzt mit Oswald, und Oswald ist östlich von Martin (Spalte 14), also nutzt ihr Paar die Spalten 15–16 – nur das <b>Büfett</b> hat diese Zeilen und Spalten: <b>Oswald R15C15, Harriet R16C16</b> (R15C16 ist eine Pflanze). Der Herr auf R13C2: Jeremy, Kenneth und Lucas sind alle im Ballsaal (Bridget, Jeremys Partnerin, ist neben einem Tisch, und die Tische außerhalb des Ballsaals stehen in leeren oder vollen Räumen; die Säulen, neben denen Kenneth und Lucas sind, sind im Ballsaal – die des Spiegelsaals sind für einen Herrn unerreichbar), also ist Graces Partner <b>Nathan, R13C2</b> – nördlich von Oswald, wie er sagte."},{"cand":{"J":[[3,7],[5,7]],"B":[[4,8],[6,8]],"K":[[3,12],[5,12],[7,12]],"L":[[3,5],[7,5]]},"text":"Der Ballsaal beherbergt die drei Paare der Zeilenpaare 3–4, 5–6 und 7–8, mit den Spaltenpaaren 5–6, 7–8 und dem mittleren Paar (10–11 oder 11–12). Bridget, in einer Damenzeile, ist neben dem Champagnertisch (R5C8–9): R4C8 oder R6C8 (Spalte 9 ist Vernons), also ist <b>Jeremy auf R3C7 oder R5C7</b> und ihr Paar nimmt die Spalten 7–8. Kenneth ist östlich von Jeremy und neben einer Säule: R3C12, R5C12 oder R7C12 – in <b>Spalte 12</b>. Spalte 12 ist eine Tänzerspalte, also ist das mittlere Spaltenpaar 11–12 und die Spalte der Mörderin ist 10: Die Mörderin ist auf <b>R9C10</b>. Lucas, neben einer Säule mit belegter Spalte 12, ist auf R3C5 oder R7C5 – Spalten 5–6."},{"place":["B","J","L","K"],"cand":{"C":[[6,11],[8,6]],"E":[[6,11],[8,6]]},"text":"Bridget ist nördlich von Celia und Eleanor ist südlich von Bridget. Stünde Bridget auf R6C8, müssten Celia und Eleanor beide in Zeile 8 sein – unmöglich. Also <b>Bridget R4C8, Jeremy R3C7</b>. Zeile 3 ist Jeremys, also <b>Lucas R7C5</b>, und mit belegten Zeilen 3 und 7 <b>Kenneth R5C12</b>."},{"place":["C","E","D"],"text":"Kenneths Partnerin ist auf R6C11 und Lucas’ Partnerin auf R8C6 (R6C13 und R8C4 liegen außerhalb des Ballsaals). Celia ist nördlich von Lucas (Zeile 7): <b>Celia R6C11</b>, sie tanzt mit Kenneth; <b>Eleanor R8C6</b> mit Lucas – südlich von Bridget, wie sie sagte. Delia ist die Dame, mit der niemand tanzte: Sie war mit Vernon allein im Spiegelsaal, auf <b>R9C10</b> – tatsächlich östlich von Eleanor. <b>Delia ist die Mörderin.</b>"},{"final":true,"text":"Fall gelöst. Sieben Paare, sieben Zeilenpaare und sieben Spaltenpaare: Die Dominostruktur des Walzers hat das Feld der Mörderin eingegrenzt, bevor ein einziger Tänzer platziert war, die Spaltenpaare entschieden, welche Räume leer blieben, und Delia – die einzige Dame ohne Partner – war mit Vernon allein im Spiegelsaal."}],"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"}}