{"format":"murdoku-puzzle/1","id":"handshakes","version":1,"difficulty":"hard","level":8,"size":{"rows":12,"cols":12},"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":"Podání rukou","tagline":"Vesnická fara · silvestr, půlnoc · deset mincí v pokladničce pro chudé, jedna za každé podání ruky","author":"mathace","concept":"Murdoku – Manuel Garand (murdoku.com); unofficial fan-made case","created":"2026-10-11","story":"Silvestr na faře: reverend Arnold hostí významné lidi z vesnice. V domě je stará tradice, že si o půlnoci každý podá ruku s každým, kdo je s ním v jedné místnosti, a za každé podání rukou padne do pokladničky pro chudé jedna mince. Krátce po půlnoci byl Vic, církevní správce, nalezen mrtvý v pracovně. Pokladnička prozradí, kolik bylo podání rukou – zbytek výpovědi.","rules":{"standard":["V každém <b>řádku</b> a každém <b>sloupci</b> je přesně <b>jeden člověk</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>. Políčka s předměty (úl, studna, sněhulák, stojan na ohňostroj, šatní skříň, truhla, svícny, regály na knihy, štafle, boty, rostlina v květináči, lucerna, věšák, sekretář, trezor, kachlová kamna, vánoční stromek, klavír, stojací hodiny, věž ze šampaňského, stoly, vitrína, police, sud, bedna, sporák, dřez, pult a hromada dřeva) nelze obsadit; křesla, židle, lavice, pohovku a stoličku – ano. Křeslo není židle. Dva předměty jsou stejného druhu jen tehdy, mají-li stejný obrázek. <b>Roh</b> oblasti je políčko této oblasti, které je na jedné vodorovné a na jedné svislé straně obráceno ven (k jiné oblasti nebo k okraji plánu).","Směry se vztahují k řádkům, ne ke stejnému sloupci: <i>„přesně jeden řádek jižně od něj byl někdo“</i> = někdo byl v řádku přímo pod ním, v libovolném sloupci. <i>„Na stejné úhlopříčce“</i> = obě políčka leží na jedné šikmé přímce plánu, v libovolném směru a v libovolné vzdálenosti.","Vrah byl <b>s obětí sám</b>: nikdo jiný v té oblasti nebyl."],"special":["<b>O půlnoci si každý podal ruku s každým, kdo byl s ním v jedné oblasti; celkem bylo 10 podání rukou.</b>"],"notes":["Křeslo není židle.","Dva předměty jsou stejné jen tehdy, mají-li stejný obrázek.","<i>„na stejné úhlopříčce“</i> = obě políčka leží na jedné úhlopříčce plánu, v kterémkoli směru a v jakékoli vzdálenosti."],"example":{}},"roleNames":{"household":"člen 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Q54 34 54 30 Z\" fill=\"#d8d4cc\"/><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=\"#d8d4cc\"/></svg>","solverRole":"guest","constraints":[{"type":"with_on","obj":"chair","gender":"F"}]},{"id":"G","name":"Gretchen","gender":"F","role":"guest","color":"#ad1457","avatar":{"bg":"#7a6a8a","skin":"#f6d8c0","hair":"#2a1a10","style":"ponytail","shirt":"#c56a8a","glasses":true},"clue":"<b>Nebyla</b> v <b>Knihovně</b>.","job":"učitelka","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Gretchen\"><rect width=\"80\" height=\"80\" fill=\"#7a6a8a\"/><path d=\"M50 30 Q64 34 60 62 L54 62 Q56 40 48 36 Z\" fill=\"#2a1a10\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#c56a8a\"/><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 33 Q26 16 40 16 Q54 16 54 33 Q50 24 40 24 Q30 24 26 33 Z\" fill=\"#2a1a10\"/><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":"not_area","areas":["Library"]}]},{"id":"H","name":"Harrison","gender":"M","role":"guest","color":"#5d4037","avatar":{"bg":"#4a5a4a","skin":"#e9c6a4","hair":"#4a3a2a","style":"short","shirt":"#2a2a2a","beard":true},"clue":"V jeho <b>řádku</b> byl někde <b>regál na knihy</b>. Byl <b>sám s</b> někým, kdo seděl v <b>křesle</b>.","job":"vesnický lékař","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Harrison\"><rect width=\"80\" height=\"80\" fill=\"#4a5a4a\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#2a2a2a\"/><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 32 Q26 15 40 15 Q54 15 54 32 Q50 24 40 24 Q30 24 26 32 Z\" fill=\"#4a3a2a\"/><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=\"#4a3a2a\"/></svg>","solverRole":"guest","constraints":[{"type":"row_has","obj":"bookcase"},{"type":"alone_with_on","obj":"armchair"}]},{"id":"I","name":"Isabel","gender":"F","role":"guest","color":"#558b2f","avatar":{"bg":"#8a6a4a","skin":"#efc7a3","hair":"#c8a050","style":"long","shirt":"#3a5a8a","scarf":"#c62828"},"clue":"V jejím <b>sloupci</b> bylo někde <b>křeslo</b>.","job":"poštmistrová","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Isabel\"><rect width=\"80\" height=\"80\" fill=\"#8a6a4a\"/><path d=\"M22 42 Q20 14 40 14 Q60 14 58 42 L62 72 L18 72 Z\" fill=\"#c8a050\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#3a5a8a\"/><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 36 Q26 16 40 16 Q54 16 54 36 Q52 24 40 24 Q28 24 26 36 Z\" fill=\"#c8a050\"/><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=\"M30 58 Q40 70 50 58 L48 66 Q40 76 32 66 Z\" fill=\"#c62828\"/></svg>","solverRole":"guest","constraints":[{"type":"col_has","obj":"armchair"}]},{"id":"J","name":"Julian","gender":"M","role":"guest","color":"#283593","avatar":{"bg":"#4a3a2a","skin":"#e4b998","hair":"#1c1a1a","style":"short","shirt":"#5a3a22","beard":true,"apron":true},"clue":"V jeho <b>sloupci</b> byla někde <b>lucerna</b>.","job":"kovář","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Julian\"><rect width=\"80\" height=\"80\" fill=\"#4a3a2a\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#5a3a22\"/><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=\"#e4b998\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#e4b998\"/><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\"/></svg>","solverRole":"guest","constraints":[{"type":"col_has","obj":"lantern"}]},{"id":"K","name":"Karina","gender":"F","role":"guest","color":"#f9a825","avatar":{"bg":"#4a6a6a","skin":"#f3d3b5","hair":"#1c1a1a","style":"bob","shirt":"#e8e8e8","earrings":true},"clue":"Byla <b>jedinou ženou</b> vedle <b>stolu</b>. Ona a <b>Brooke</b> byly na <b>stejné úhlopříčce</b>.","job":"lékárnice","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Karina\"><rect width=\"80\" height=\"80\" fill=\"#4a6a6a\"/><path d=\"M22 40 Q22 14 40 14 Q58 14 58 40 L58 58 L22 58 Z\" fill=\"#1c1a1a\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#e8e8e8\"/><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=\"#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":"guest","constraints":[{"type":"only_beside","obj":"table","gender":"F"},{"type":"same_diagonal","q":"B"}]},{"id":"V","name":"Vic","gender":"M","role":"victim","color":"#1b1b1b","avatar":{"bg":"#2a2a3a","skin":"#efc7a3","hair":"#e8e4dc","style":"bald","shirt":"#1b1b1b","mustache":true,"mustacheColor":"#e8e4dc"},"clue":"<b>Oběť.</b> Našli ho v <b>Pracovně</b>, vedle <b>sekretáře</b> – sám s vrahem.","job":"kostelník","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Vic\"><rect width=\"80\" height=\"80\" fill=\"#2a2a3a\"/><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=\"#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=\"#e8e4dc\"/><path d=\"M54 30 Q54 22 50 20 L50 34 Q54 34 54 30 Z\" fill=\"#e8e4dc\"/><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=\"#e8e4dc\"/><path d=\"M12 12 L68 68 M68 12 L12 68\" stroke=\"#e0362e\" stroke-width=\"5\" stroke-linecap=\"round\" opacity=\".9\"/></svg>","solverRole":"guest","constraints":[{"type":"area","areas":["Study"]},{"type":"beside","obj":"desk"}]}],"victim":"V","murderer":"H","solution":{"C":[1,6],"G":[2,3],"V":[3,11],"A":[4,7],"H":[5,12],"K":[6,10],"F":[7,8],"I":[8,9],"D":[9,4],"J":[10,1],"B":[11,5],"E":[12,2]},"walkthrough":[{"place":["E"],"cand":{"J":[[2,1],[4,1],[5,1],[7,1],[10,1],[11,1]]},"text":"Julian měl lucernu ve svém sloupci: stojí na R8C1, takže <b>Julian je ve sloupci 1</b> a nikdo jiný. Elizabeth byla vedle stoličky R11C2, na které nikdo neseděl. Z jejích sousedních políček leží R11C1 ve sloupci 1 a R10C2 a R11C3 jsou vedle kuchyňského stolu R10C3 – jenže Karina byla jedinou ženou vedle stolu. <b>Elizabeth je na R12C2</b>."},{"place":["K"],"cand":{"B":[[10,6],[11,5]],"J":[[2,1],[4,1],[5,1],[7,1],[10,1],[11,1]]},"text":"Farrel měl ve své oblasti ženu, která seděla na židli. Jediné židle jsou R6C10, R7C12 a R8C11 v jídelně a každá z nich stojí vedle jídelního stolu – ta žena byla tedy vedle stolu a může to být jen Karina. Karina sedí na jedné z těchto židlí a ona a Brooke byly na stejné úhlopříčce. Brooke byla v kuchyni: někdo jiný v její oblasti byl vedle dřezu a dřez je v kuchyni. Jen úhlopříčka z R6C10 sahá do kuchyně (R10C6, R11C5): <b>Karina je na R6C10</b>, Brooke na R10C6 nebo R11C5 a Farrel je v jídelně."},{"cand":{"D":[[9,4],[10,6],[11,5],[11,7]],"F":[[7,8],[7,9],[8,8],[8,9]],"B":[[10,6],[11,5]],"J":[[2,1],[4,1],[5,1],[7,1],[10,1],[11,1]]},"text":"Teď podání rukou. V pracovně jsou přesně dva lidé, Vic a vrah. Její políčka leží ve sloupcích 10–12 a sloupec 10 patří Karině, takže ti dva zabírají sloupce 11 a 12 – <b>nikdo jiný není ve sloupci 11 ani 12</b>. V jídelně pak kromě Kariny zbývají jen R7C8, R7C9, R8C8 a R8C9: nejvýše jeden člověk v řádku 7 a jeden v řádku 8, takže v jídelně jsou nejvýše tři lidé. V kuchyni jsou nejméně tři: Brooke, Elizabeth a člověk vedle dřezu – R9C2 leží v Elizabethině sloupci, takže <b>někdo je na R9C4</b>. Daphne měla ve své oblasti přesně tři další osoby: v její místnosti jsou čtyři, to je 6 podání rukou, a pracovna přidá 1. Zbylých šest lidí si dělí zbývající 3 podání: buď jedna místnost o třech (3 podání) a tři lidé o samotě, nebo tři dvojice. V prvním případě je pracovna jediná dvojice, takže jídelna (Karina, Farrel, nejvýše tři lidé) je místnost o třech; ve druhém žádná místnost o třech není. Tak či tak je kuchyně, v níž jsou nejméně tři lidé, Daphnina místnost o čtyřech: <b>v kuchyni jsou čtyři lidé, mezi nimi Daphne</b>, a protože leží v řádcích 9–12, patří tyto čtyři řádky kuchyni."},{"place":["V","H"],"cand":{"C":[[1,3],[1,6],[1,9]],"D":[[9,4],[10,6],[11,5],[11,7]],"F":[[7,8],[7,9],[8,8],[8,9]],"B":[[10,6],[11,5]],"J":[[2,1],[4,1],[7,1],[10,1],[11,1]]},"text":"Harrison měl ve svém řádku regál na knihy – řádek 1 (R1C8) nebo řádek 5 (R5C10) – a byl sám s někým, kdo seděl v křesle: R2C9 v knihovně, R3C11 v pracovně nebo R7C5 v salonku. V řádku 1 má křeslo jen knihovna a tam je R1C9 sloupec samotného křesla, R1C10 je Karinin sloupec a R1C11, R1C12 jsou sloupce pracovny. V řádku 5 leží políčko R5C1 verandy v Julianově sloupci a předsíň nemá křeslo; salonek by mu nechal R5C3 s někým v křesle R7C5 – pak jsou řádky 5, 6 a 7 obsazené, Farrel je v řádku 8, řádky 9–12 patří kuchyni a dva lidé z pracovny potřebují řádky 3 a 4: Arnoldovi, jehož předsíň leží v řádcích 4–10, by nezbyl žádný řádek. Harrison je tedy v pracovně a člověk v křesle R3C11 u něj je Vic: <b>Vic je na R3C11, Harrison na R5C12</b> (R5C11 je Vicův sloupec) – Harrison byl sám s obětí."},{"cand":{"C":[[1,3],[1,6],[1,9]],"A":[[4,6],[4,7],[7,7]],"D":[[9,4],[10,6],[11,5],[11,7]],"F":[[7,8],[7,9],[8,8],[8,9]],"B":[[10,6],[11,5]],"J":[[2,1],[4,1],[7,1],[10,1],[11,1]]},"text":"Které rozdělení to tedy bylo: čtyři, tři, dva a tři o samotě, nebo čtyři a čtyři dvojice? Connor nebyl v rohu své oblasti a přesně jeden řádek jižně od něj byl někdo vedle lavice. Políčka vedle lavice jsou R1C2, R2C1, R2C3 a R3C2 v zahradě a R4C1, R4C3 na verandě; řádek 3 patří Vicovi, takže Connor je v řádku 1 a člověk pod ním je na R2C1 nebo R2C3 v zahradě. Connor: R1C3, R1C6 nebo R1C9. Předpokládejme, že byly jen dvojice. V sakristii (R1C6) by musel být Connorův partner v řádku 2 – ale člověk z řádku 2 je v zahradě. V knihovně (R1C9) by byl partner na R4C8 a tam nemůže být nikdo (Gretchen nebyla v knihovně, v Isabelině sloupci je křeslo, ostatní jsou už umístěni nebo vázáni jinde). Connor by tedy byl na R1C3 a Julian na R2C1 v zahradě. Arnold pak potřebuje partnera v předsíni a kuchyně čtvrtého člověka a zbývají jen Gretchen a Isabel. Isabel nemá v předsíni žádné políčko, takže Gretchen jde k Arnoldovi a Isabel do kuchyně na R11C5 (na R10C5 by Brooke nezbylo žádné políčko), což posílá Brooke na R10C6 – a Arnold s Gretchen by se museli dělit o R4C7 a R7C7, obě ve sloupci 7. Nemožné: <b>rozdělení je 4 + 3 + 2 + 1 + 1 + 1</b>. V jídelně jsou tři lidé a všichni mimo kuchyni, jídelnu a pracovnu byli sami."},{"place":["I","F","G"],"cand":{"C":[[1,6],[1,9]],"A":[[4,6],[4,7]],"D":[[9,4],[10,6],[11,5],[11,7]],"B":[[10,6],[11,5]],"J":[[10,1],[11,1]]},"text":"Člověk v řádku 2 je v zahradě a je tam sám – Connor tedy není na R1C3. Kdo může být teď ve sloupci 3? Connor už ne; Daphne a Brooke jsou v kuchyni, kde je jediné volné políčko ve sloupci 3, R11C3 (R12C3 leží v Elizabethině řádku), vedle stolu a Karina byla jedinou ženou vedle stolu; Arnold je v předsíni, Farrel v jídelně, Isabelin sloupec je 5 nebo 9 a Julianův 1: <b>jen Gretchen</b>. Třetím člověkem v jídelně tedy není Gretchen, ale Isabel, jejíž jediné políčko v jídelně je <b>R8C9</b> (R7C9 je vedle stolu) – a <b>Farrel je na R7C8</b>. Jídelna vyplňuje řádky 7 a 8, takže Arnold je v řádku 4, a z Gretcheniných zbývajících políček ve sloupci 3 je R1C3 v Connorově řádku a R4C3, R7C3, R8C3 leží v obsazených řádcích: <b>Gretchen je na R2C3</b>, ta vedle lavice."},{"place":["D","C","A","B","J"],"text":"Julian nemůže být v zahradě (Gretchen tam byla sama) a R4C1 a R7C1 leží v řádcích Arnolda a Farrela: je v kuchyni, na R10C1 nebo R11C1. Čtyři v kuchyni jsou Brooke, Daphne, Elizabeth a Julian, takže člověk vedle dřezu na R9C4 je <b>Daphne</b>. Connor: R1C9 je Isabelin sloupec – <b>Connor je na R1C6</b> v sakristii, ne v rohu, a Gretchen vedle lavice o řádek jižně. <b>Arnold je na R4C7</b> (R4C6 je Connorův sloupec), <b>Brooke na R11C5</b> (R10C6 také) a <b>Julian na R10C1</b>. Spočítej mince: kuchyně 4 (6), jídelna 3 (3), pracovna 2 (1) – deset podání rukou."},{"final":true,"text":"Vica našli v pracovně vedle sekretáře, sedícího v křesle R3C11, a jediný další člověk tam byl Harrison na R5C12: <b>Harrison je vrah!</b>"}],"solver":{"rules":[{"type":"handshakes","n":10}],"occupiable":["armchair","bench","chair","sofa","stool"]},"verification":{"tool":"tools/murdoku_solver.py","unique":true,"guessFree":true,"checked":"2026-10-11"},"score":173.109}