{"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":"Plaja de pe Balaton","tagline":"O plajă la lacul Balaton · o după-amiază de august din 1978 · langoșul s-a răcit","author":"mathace","concept":"Murdoku – Manuel Garand (murdoku.com); unofficial fan-made case","created":"2026-09-29","story":"Lacul Balaton, august 1978. Plaja era plină până la ultimul șezlong: vacanțieri din Budapesta, turiști est-germani care se întâlneau aici în fiecare vară cu rudele lor din Vest, mirosul de langoș plutind dinspre bufet și bărci cu pedale legănându-se pe apă. Valér, directorul plajei, știa micile secrete ale tuturor – cine închiria camere fără autorizație, cine schimba mărci vest-germane sub plopi. În arșița după-amiezii, a fost găsit la închirierea de bărci, lângă chioșcul de bilete. Toată lumea de pe plajă dă o declarație – află cine a fost singur cu el.","rules":{"standard":["Fiecare <b>rând</b> și fiecare <b>coloană</b> conține exact <b>o persoană</b>. De îndată ce plasezi pe cineva, taie tot rândul și toată coloana sa.","<b>„Lângă”</b> = direct la stânga, la dreapta, deasupra sau dedesubt, și <b>în aceeași zonă</b>. Pătratele cu obiecte (stuful, apa, lampa, barca pneumatică, umbrelele de soare, chioșcul de bilete, plopii, dulapul, masa, toboganul, dușul, tejgheaua, frigiderul și bicicleta) nu pot fi ocupate; bărcile cu pedale, barca cu vâsle, șezlongurile, băncile, taburetele și leagănele pot.","Direcțiile se referă la rânduri și coloane, nu la aceeași linie: <i>„exact un rând la nord de el se afla o femeie”</i> = persoana din rândul imediat de deasupra este o femeie, în orice coloană.","Ucigașul a fost <b>singur cu victima</b>: nimeni altcineva nu se afla în acea zonă."],"special":["<b>Exact două</b> persoane erau așezate pe <b>bărci cu pedale</b>."]},"roleNames":{"holidaymaker":"vacanțier","tourist":"turist est-german","staff":"personal","victim":"victimă"},"personGroups":[{"id":"holidaymakers","name":"Vacanțieri","persons":["A","B","C","D"]},{"id":"tourists","name":"Turiști est-germani","persons":["E","F"]},{"id":"staff","name":"Personalul 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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>Exact un rând la nord</b> de el se afla un <b>turist est-german</b>.","job":"pensionar de la căile ferate","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":"A fost <b>singura femeie</b> așezată pe o <b>barcă cu pedale</b>.","job":"asistentă medicală din 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":"A fost <b>singurul</b> lângă un <b>plop</b>.","job":"mecanic auto din Dresda","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":"A fost lângă <b>tejghea</b>.","job":"prăjitoarea de langoși","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":"A fost pe <b>Ponton</b>.","job":"salvamarul","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":"O <b>barcă cu pedale</b> se afla undeva pe <b>coloana</b> ei.","job":"casiera","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>Victima.</b> A fost găsit în <b>Închirierea de bărci</b>, lângă <b>chioșcul de bilete</b> – singur cu ucigașul.","job":"directorul plajei","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 a fost găsit în Închirierea de bărci, lângă chioșcul de bilete – la R2C9, R3C8, R3C10 sau R4C9 – iar ucigașul a fost acolo singur cu el: Închirierea de bărci are exact două persoane. Tejgheaua este la R9C3, deci coloana 3 este a Ágotei, iar lângă o umbrelă de soare ea este la R4C3 sau R6C3. Gitta a fost lângă tejghea și nu poate folosi coloana 3, deci este la R9C2 sau R9C4: rândul 9 este al ei. Acum regula generală: exact două persoane erau așezate pe bărci cu pedale. Edda este una dintre ele și singura femeie, deci cealaltă este un bărbat. Falk a fost lângă un plop, Huba pe Ponton, Valér în Închirierea de bărci; iar Balázs a fost singur cu un membru al personalului, în timp ce Lacul, unde se află toate bărcile cu pedale, are ambele persoane așezate pe bărci cu pedale, printre ele Edda, o turistă – deci Balázs nu a fost pe Lac. Rămâne Donát: un turist se afla exact un rând la nord de el, deci nu este pe rândul 1, iar barca cu pedale de la R2C3 este pe coloana Ágotei, deci <b>Donát este la R2C8</b>. Turistul de pe rândul 1 nu poate fi Falk, deci este Edda, pe barca cu pedale de la R1C4 sau R1C7. Rândul 2 și coloana 8 sunt acum ale lui Donát, ceea ce lasă R3C10 și R4C9 pentru Valér; pătratele Pontonului sunt toate în rândurile 3 și 4 (lampa este la R2C6), deci aceste două rânduri sunt ale lui Huba și Valér. Ágota nu poate fi la R4C3: <b>Ágota este la 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":"O barcă cu pedale se afla undeva pe coloana lui Ildikó. Bărcile cu pedale sunt pe coloanele 3, 4, 7 și 8, iar coloanele 3 și 8 sunt ocupate, deci ea este pe coloana 4 sau 7 – ca și Edda. Aceste două coloane aparțin deci Eddei și lui Ildikó, iar Gitta nu poate fi la R9C4: <b>Gitta este la R9C2</b>. Înapoi la Închirierea de bărci: în afara rândului și coloanei lui Donát, pătratele sale libere sunt R3C10, R4C9, R4C10 și R5C10. Rândurile 3 și 4 aparțin lui Huba și Valér, deci ucigașul – oricine ar fi fost – nu poate fi decât la R5C10. Coloana 10 este atunci ocupată, iar Valér nu este la R3C10: <b>Valér este la R4C9</b>, iar Huba este pe rândul 3. Cine a fost la R5C10? Toți ceilalți sunt acum legați de altă parte a plajei – nu putea fi acolo decât Balázs sau Csenge."},{"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":"Rândurile 7, 8 și 10 sunt încă goale; dintre coloane, 1, 5 și 6 – și coloanele 4 și 7, care aparțin Eddei și lui Ildikó. Falk a fost lângă un plop, iar pătratele de lângă cei trei plopi sunt R4C7, R5C8, R7C6, R8C7, R9C6, R9C10 și R10C9. Rândurile 4, 5 și 9 și coloanele 8 și 9 sunt ocupate, iar coloana 7 nu este a lui, deci nu rămâne decât unul: <b>Falk este la R7C6</b>. Huba este pe rândul 3, pe Ponton: R3C4, R3C5, R3C6 sau R3C7. Coloanele 4 și 7 sunt ale Eddei și ale lui Ildikó, iar coloana 6 este acum a lui Falk: <b>Huba este la R3C5</b>."},{"place":["I","E"],"cand":{"B":[[5,10],[8,1]],"C":[[5,10],[8,1]]},"text":"Doar rândurile 8 și 10 sunt încă goale. Ildikó este pe coloana 4 sau 7, dar pe aceste două rânduri coloana 4 conține masa (R8C4) și frigiderul (R10C4). Pe coloana 7, R8C7 este lângă plopul de la R8C6, iar doar Falk a fost lângă un plop. Deci <b>Ildikó este la R10C7</b>, cu barca cu pedale de la R1C7 pe coloana ei. Coloana 7 este a ei, iar Edda ia coloana 4: <b>Edda este la R1C4</b>. Ea și Donát sunt cele două persoane așezate pe bărci cu pedale – exact cum spune regula generală."},{"place":["C","B"],"text":"Au rămas două persoane, Balázs și Csenge, și două pătrate: R5C10 în Închirierea de bărci și R8C1 în Cabine, singurul pătrat liber de pe rândul 8 și coloana 1. Cine se află la R8C1 este singura persoană din Cabine. Balázs a fost singur cu un membru al personalului, deci nu putea fi singura persoană de acolo: <b>Csenge este la R8C1</b> – nu lângă o bancă, cum a spus, pentru că banca de la R7C2 atinge pătratul ei doar în diagonală. Așadar, singura persoană care putea fi singură cu Valér în Închirierea de bărci este Balázs: <b>Balázs este la R5C10</b>. Declarația lui este chiar adevărată – Valér, directorul plajei, este un membru al personalului."},{"final":true,"text":"Caz închis: Valér a fost singur în Închirierea de bărci cu inginerul. <b>Balázs este ucigașul!</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"}}