{"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":"Půlnoční valčík","tagline":"Silvestr · Zámek Winterhall · půlnoc","author":"mathace","concept":"Murdoku – Manuel Garand (murdoku.com); unofficial fan-made case","created":"2026-09-15","story":"Silvestrovský ples na zámku Winterhall. S úderem půlnoci je hostitel, lord Vernon, nalezen mrtvý na pohovce v zrcadlovém sále. V domě bylo patnáct hostů: sedm párů tančilo valčík – a jeden host netančil vůbec, protože byl s hostitelem sám. Přečti si výpovědi, najdi přesnou polohu všech na plánku a odhal vraha: byl s Vernonem v zrcadlovém sále sám.","rules":{"standard":["V každém <b>řádku</b> a každém <b>sloupci</b> je přesně <b>jedna osoba</b>. Jakmile někoho umístíš, škrtni celý jeho řádek a sloupec.","<b>„Vedle“</b> = přímo vlevo, vpravo, nad nebo pod, a <b>ve stejné oblasti</b>. Pole s nábytkem (truhlíky, stoly, sloupy, věšáky…) nelze obsadit; lavice, židle, křesla, pohovku a rohožky ano.","Směry se vztahují k řádkům a sloupcům, ne ke stejné přímce: <i>„byl severně od ní“</i> = v řádku výše, v libovolném sloupci; <i>„východně od něj“</i> = ve sloupci více vpravo, v libovolném řádku.","Vrah byl <b>s obětí sám</b>: nikdo jiný v té oblasti nebyl."],"special":["Všichni kromě oběti a vraha <b>tančili v páru</b>. Oba partneři jsou na <b>polích, která se dotýkají úhlopříčně</b> (rohem k rohu), <b>ve stejné oblasti</b>. Pár je vždy <b>jeden pán a jedna dáma</b> a <b>pán je severně od své dámy</b> – v řádku přímo nad ní.","<b>Nikdo se nikoho jiného nedotýká rohem k rohu</b>: jediným úhlopříčným sousedem tanečníka je jeho partner a oběť ani vrah nemají žádného úhlopříčného souseda."]},"roleNames":{"lady":"dáma","gentleman":"pán","host":"hostitel","victim":"oběť"},"personGroups":[{"id":"ladies","name":"Dámy","persons":["A","B","C","D","E","F","G","H"]},{"id":"gentlemen","name":"Pánové","persons":["I","J","K","L","M","N","O"]},{"id":"host","name":"Hostitel","persons":["V"]}],"map":{"groups":[{"id":"north","name":"SEVERNÍ KŘÍDLO","style":"building"},{"id":"middle","name":"PLESOVÉ PATRO","style":"building"},{"id":"south","name":"JIŽNÍ 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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\"/><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":"Tančil v <b>jídelně</b>.","job":"lékař","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":"Byl <b>severně od Oswalda</b>.","job":"advokát","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":"Byl <b>východně od Martina</b>.","job":"profesor","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>Oběť.</b> Byl nalezen na <b>pohovce</b> v zrcadlovém sále – sám s vrahem.","job":"hostitel","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 leží na <b>pohovce</b>: <b>R12C9</b>, v zrcadlovém sále. Vrah tam byl s ním sám. Spočítej hosty: sedm pánů a osm dam. Každý pár tvoří jeden pán a jedna dáma, takže všech sedm pánů tančí – kdo netančí, tedy vrah, je jednou z <b>osmi dam</b>."},{"text":"Klíčová myšlenka: partneři se dotýkají rohem k rohu, takže každý pár zabírá <b>dva sousední řádky</b> a <b>dva sousední sloupce</b>. Jen Vernonův řádek (12) a řádek vražedkyně jsou „samotné“; zbylých čtrnáct řádků se dělí na sedm dvojic sousedů, takže úseky řádků nad, mezi a pod dvěma samotnými řádky mají všechny sudou délku. Řádek 12 je sudý, takže řádek vražedkyně je <b>lichý a nad Vernonovým</b>: řádek 9 nebo 11 (řádky 1–8 se párují jako 1–2, 3–4, 5–6, 7–8, pak 10–11 nebo 9–10, pak 13–14 a 15–16). Totéž platí pro sloupce: sloupec 9 je lichý, takže sloupec vražedkyně je <b>sudý a vpravo</b>: 10 nebo 12. Vražedkyně je na <b>R9C10, R9C12 nebo R11C12</b> (R11C10 by se Vernona dotýkalo rohem k rohu). Další důsledky: pán z páru je v horním řádku své dvojice řádků, takže pánové jsou v řádcích 1, 3, 5, 7, 13, 15 (a 9 nebo 10), dámy v řádcích 2, 4, 6, 8, 14, 16 (a 10 nebo 11); jedno pole široká galerie, západní chodba a balkon nemohou pojmout pár a jsou prázdné – stejně jako schodiště, kde schody a rostlina nenechávají žádnou úhlopříčnou dvojici polí."},{"place":["G","I","A"],"text":"Řádky 13 a 14 tvoří dvojici a jedinou oblastí, která obsahuje oba řádky s místem pro pár, je <b>šatna</b>: pulty na R13C4 a R14C4 vylučují sloupce 3–4, takže tento pár je ve sloupcích 1–2 – pán na R13C1 nebo R13C2, dáma na R14C2 nebo R14C1. Grace je vedle věšáku: je to ona, <b>Grace R14C1</b> (vedle věšáku na R15C1), a její partner je na R13C2. Sloupce 1–2 jsou vyčerpány. Řádky 1–2 jsou také dvojice: Terasa nebo Knihovna. Ian je vedle truhlíku a jako pán v horním řádku – R1C4 (na R3C2 by jeho partnerka byla v řádku 4, mimo Terasu): <b>Ian R1C4</b> a <b>Alice, která s ním tančí, R2C3</b>. Dvojice sloupců 3–4 je nyní obsazena, takže karetní ani kuřácký salon (sloupce 2–4) nemohou pojmout pár: oba jsou prázdné."},{"place":["F","M"],"text":"Prostřední dvojice řádků (9–10 nebo 10–11) potřebuje oblast s těmito řádky: kuřácký salon je prázdný a zrcadlový sál je Vernonův, takže tento pár tančí v <b>jídelně</b> – Martin je jejím pánem. Felicity je vedle krbu: ne v prázdném kuřáckém salonu, takže <b>Felicity R11C13</b>, vedle krbu v jídelně. Řádek 11 je řádek tanečnice, takže vražedkyně je v <b>řádku 9</b> a prostřední dvojice je 10–11: <b>Martin R10C14</b> (R10C12 patří k zrcadlovému sálu). Pár z jídelny využívá sloupce 13–14, takže zimní zahrada (sloupce 13–15) je prázdná; knihovna by potřebovala řádky 1–2, které patří Alici a Ianovi – také prázdná."},{"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":"Řádky 15–16: Harriet tančí s Oswaldem a Oswald je východně od Martina (sloupec 14), takže jejich pár využívá sloupce 15–16 – jen <b>bufet</b> má tyto řádky a sloupce: <b>Oswald R15C15, Harriet R16C16</b> (R15C16 je rostlina). Pán na R13C2: Jeremy, Kenneth a Lucas jsou všichni v tanečním sále (Bridget, Jeremyho partnerka, je vedle stolu a stoly mimo taneční sál stojí v prázdných nebo plných místnostech; sloupy, u nichž jsou Kenneth a Lucas, jsou v tanečním sále – ty v zrcadlovém sále jsou pro pána nedostupné), takže partnerem Grace je <b>Nathan, R13C2</b> – severně od Oswalda, jak řekl."},{"cand":{"J":[[3,7],[5,7]],"B":[[4,8],[6,8]],"K":[[3,12],[5,12],[7,12]],"L":[[3,5],[7,5]]},"text":"Taneční sál hostí tři páry dvojic řádků 3–4, 5–6 a 7–8, ve dvojicích sloupců 5–6, 7–8 a prostřední dvojici (10–11 nebo 11–12). Bridget, v řádku dámy, je vedle stolu se šampaňským (R5C8–9): R4C8 nebo R6C8 (sloupec 9 je Vernonův), takže <b>Jeremy je na R3C7 nebo R5C7</b> a jejich pár zabírá sloupce 7–8. Kenneth je východně od Jeremyho a vedle sloupu: R3C12, R5C12 nebo R7C12 – ve <b>sloupci 12</b>. Sloupec 12 je sloupec tanečníka, takže prostřední dvojice sloupců je 11–12 a sloupec vražedkyně je 10: vražedkyně je na <b>R9C10</b>. Lucas, vedle sloupu s obsazeným sloupcem 12, je na R3C5 nebo R7C5 – sloupce 5–6."},{"place":["B","J","L","K"],"cand":{"C":[[6,11],[8,6]],"E":[[6,11],[8,6]]},"text":"Bridget je severně od Celie a Eleanor jižně od Bridget. Kdyby Bridget byla na R6C8, musely by Celia i Eleanor být obě v řádku 8 – nemožné. Takže <b>Bridget R4C8, Jeremy R3C7</b>. Řádek 3 je Jeremyho, takže <b>Lucas R7C5</b>, a s obsazenými řádky 3 a 7 <b>Kenneth R5C12</b>."},{"place":["C","E","D"],"text":"Kennethova partnerka je na R6C11 a Lucasova na R8C6 (R6C13 a R8C4 leží mimo taneční sál). Celia je severně od Lucase (řádek 7): <b>Celia R6C11</b>, tančí s Kennethem; <b>Eleanor R8C6</b> s Lucasem – jižně od Bridget, jak řekla. Delia je dáma, se kterou nikdo netančil: byla s Vernonem v zrcadlovém sále sama, na <b>R9C10</b> – skutečně východně od Eleanor. <b>Delia je vražedkyně.</b>"},{"final":true,"text":"Případ uzavřen. Sedm párů, sedm dvojic řádků a sedm dvojic sloupců: dominová struktura valčíku ohraničila pole vražedkyně dřív, než byl umístěn jediný tanečník, dvojice sloupců rozhodly, které místnosti zůstaly prázdné, a Delia – jediná dáma bez partnera – byla s Vernonem v zrcadlovém sále sama."}],"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"}}