{"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":"Der Balaton-Strand","tagline":"Ein Strand am Balaton · ein Augustnachmittag 1978 · der Lángos wurde kalt","author":"mathace","concept":"Murdoku – Manuel Garand (murdoku.com); unofficial fan-made case","created":"2026-09-29","story":"Balaton, August 1978. Der Strand war bis zur letzten Sonnenliege voll: Urlauber aus Budapest, DDR-Touristen, die hier jeden Sommer ihre Verwandten aus dem Westen trafen, der Duft von Lángos zog vom Büfett herüber, und auf dem Wasser schaukelten Tretboote. Valér, der Strandverwalter, kannte die kleinen Geheimnisse aller – wer ohne Genehmigung Zimmer vermietete, wer unter den Pappeln D-Mark tauschte. In der Nachmittagshitze wurde er im Bootsverleih gefunden, neben dem Kassenhäuschen. Jeder am Strand gibt eine Aussage ab – finde heraus, wer allein mit ihm war.","rules":{"standard":["In jeder <b>Zeile</b> und jeder <b>Spalte</b> ist genau <b>eine Person</b>. Sobald du jemanden platzierst, streiche seine ganze Zeile und Spalte durch.","<b>„Neben“</b> = direkt links, rechts, darüber oder darunter, und <b>im selben Bereich</b>. Felder mit Gegenständen (das Schilf, das Wasser, die Lampe, das Schlauchboot, die Sonnenschirme, das Kassenhäuschen, die Pappeln, der Spind, der Tisch, die Rutsche, die Dusche, die Theke, der Kühlschrank und das Fahrrad) können nicht besetzt werden; die Tretboote, das Ruderboot, die Sonnenliegen, die Bänke, die Hocker und die Schaukeln schon.","Richtungen beziehen sich auf Zeilen und Spalten, nicht auf dieselbe Linie: <i>„genau eine Zeile nördlich von ihm war eine Frau“</i> = die Person in der Zeile direkt darüber ist eine Frau, in beliebiger Spalte.","Der Mörder war <b>allein mit dem Opfer</b>: Niemand sonst war in diesem Bereich."],"special":["<b>Genau zwei</b> Personen saßen auf <b>Tretbooten</b>."]},"roleNames":{"holidaymaker":"Urlauber","tourist":"DDR-Tourist","staff":"Personal","victim":"Opfer"},"personGroups":[{"id":"holidaymakers","name":"Urlauber","persons":["A","B","C","D"]},{"id":"tourists","name":"Touristen aus der 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fill=\"#f0cdb0\"/><path d=\"M26 33 Q26 16 40 16 Q54 16 54 33 Q50 24 40 24 Q30 24 26 33 Z\" fill=\"#d9b464\"/><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\"/><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":"<b>Genau eine Zeile nördlich</b> von ihm war ein <b>DDR-Tourist</b>.","job":"pensionierter Eisenbahner","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":"Sie war die <b>einzige Frau</b>, die auf einem <b>Tretboot</b> saß.","job":"Krankenschwester aus Leipzig","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":"Er war der <b>Einzige</b> neben einer <b>Pappel</b>.","job":"Automechaniker aus Dresden","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":"Sie war neben der <b>Theke</b>.","job":"die Lángos-Bäckerin","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":"Er war auf dem <b>Steg</b>.","job":"der Bademeister","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":"Ein <b>Tretboot</b> war irgendwo in ihrer <b>Spalte</b>.","job":"die Kassiererin","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>Das Opfer.</b> Er wurde im <b>Bootsverleih</b> gefunden, neben dem <b>Kassenhäuschen</b> – allein mit dem Mörder.","job":"der Strandverwalter","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 wurde im Bootsverleih gefunden, neben dem Kassenhäuschen – auf R2C9, R3C8, R3C10 oder R4C9 – und der Mörder war dort allein mit ihm: Im Bootsverleih waren genau zwei Personen. Die Theke steht auf R9C3, also ist Spalte 3 Ágotas, und neben einem Sonnenschirm ist sie auf R4C3 oder R6C3. Gitta war neben der Theke und kann Spalte 3 nicht benutzen, also ist sie auf R9C2 oder R9C4: Zeile 9 gehört ihr. Nun die allgemeine Regel: Genau zwei Personen saßen auf Tretbooten. Edda ist eine davon und die einzige Frau, also ist die andere ein Mann. Falk war neben einer Pappel, Huba auf dem Steg, Valér im Bootsverleih; und Balázs war allein mit einem Mitglied des Personals, während der See, wo alle Tretboote sind, beide Personen auf Tretbooten enthält, darunter Edda, eine Touristin – also war Balázs nicht auf dem See. Bleibt Donát: Ein Tourist war eine Zeile nördlich von ihm, also ist er nicht in Zeile 1, und das Tretboot auf R2C3 liegt in Ágotas Spalte, also <b>Donát ist auf R2C8</b>. Der Tourist in Zeile 1 kann nicht Falk sein, also ist es Edda, auf dem Tretboot auf R1C4 oder R1C7. Zeile 2 und Spalte 8 gehören nun Donát, damit bleiben für Valér R3C10 und R4C9; die Felder des Stegs liegen alle in den Zeilen 3 und 4 (die Lampe steht auf R2C6), also gehören diese beiden Zeilen Huba und Valér. Ágota kann nicht auf R4C3 sein: <b>Ágota ist auf 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":"Ein Tretboot war irgendwo in Ildikós Spalte. Die Tretboote stehen in den Spalten 3, 4, 7 und 8, und die Spalten 3 und 8 sind vergeben, also ist sie in Spalte 4 oder 7 – genau wie Edda. Diese beiden Spalten gehören daher Edda und Ildikó, und Gitta kann nicht auf R9C4 sein: <b>Gitta ist auf R9C2</b>. Zurück zum Bootsverleih: Außerhalb von Donáts Zeile und Spalte sind dort noch R3C10, R4C9, R4C10 und R5C10 frei. Die Zeilen 3 und 4 gehören Huba und Valér, also kann der Mörder – wer auch immer es war – nur auf R5C10 gewesen sein. Damit ist Spalte 10 vergeben, und Valér ist nicht auf R3C10: <b>Valér ist auf R4C9</b>, und Huba ist in Zeile 3. Wer war auf R5C10? Alle anderen sind inzwischen an einen anderen Teil des Strandes gebunden – nur Balázs oder Csenge kann dort gewesen sein."},{"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":"Die Zeilen 7, 8 und 10 sind noch leer; bei den Spalten sind es 1, 5 und 6 – und die Spalten 4 und 7, die Edda und Ildikó gehören. Falk war neben einer Pappel, und die Felder neben den drei Pappeln sind R4C7, R5C8, R7C6, R8C7, R9C6, R9C10 und R10C9. Die Zeilen 4, 5 und 9 und die Spalten 8 und 9 sind vergeben, und Spalte 7 ist nicht seine, also bleibt nur eines davon übrig: <b>Falk ist auf R7C6</b>. Huba ist in Zeile 3 auf dem Steg: R3C4, R3C5, R3C6 oder R3C7. Die Spalten 4 und 7 gehören Edda und Ildikó, und Spalte 6 ist jetzt Falks: <b>Huba ist auf R3C5</b>."},{"place":["I","E"],"cand":{"B":[[5,10],[8,1]],"C":[[5,10],[8,1]]},"text":"Nur die Zeilen 8 und 10 sind noch leer. Ildikó ist in Spalte 4 oder 7, aber in diesen beiden Zeilen hält Spalte 4 den Tisch (R8C4) und den Kühlschrank (R10C4). In Spalte 7 ist R8C7 neben der Pappel auf R8C6, und nur Falk war neben einer Pappel. Also ist <b>Ildikó auf R10C7</b>, mit dem Tretboot auf R1C7 in ihrer Spalte. Spalte 7 ist ihre, und Edda nimmt Spalte 4: <b>Edda ist auf R1C4</b>. Sie und Donát sind die beiden Personen, die auf Tretbooten saßen – genau wie es die allgemeine Regel sagt."},{"place":["C","B"],"text":"Zwei Personen sind übrig, Balázs und Csenge, und zwei Felder: R5C10 im Bootsverleih und R8C1 in den Umkleidekabinen, das einzige freie Feld von Zeile 8 und Spalte 1. Wer auf R8C1 ist, ist die einzige Person in den Umkleidekabinen. Balázs war allein mit einem Mitglied des Personals, also kann er dort nicht für sich allein gewesen sein: <b>Csenge ist auf R8C1</b> – nicht neben einer Bank, wie sie sagte, denn die Bank auf R7C2 berührt ihr Feld nur diagonal. Die einzige Person, die im Bootsverleih allein mit Valér gewesen sein kann, ist also Balázs: <b>Balázs ist auf R5C10</b>. Seine Aussage stimmt sogar – Valér, der Strandverwalter, gehört zum Personal."},{"final":true,"text":"Fall gelöst: Valér war im Bootsverleih allein mit dem Ingenieur. <b>Balázs ist der Mörder!</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"}}