{"format":"murdoku-puzzle/1","id":"polar","version":1,"difficulty":"medium","level":6,"size":{"rows":9,"cols":9},"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":"L’estació polar","tagline":"Base Aurora, Antàrtida · l’última setmana de la nit polar · la perforadora s’havia aturat","author":"mathace","concept":"Murdoku – Manuel Garand (murdoku.com); unofficial fan-made case","created":"2026-09-29","story":"La base Aurora, a la costa antàrtica, l’última setmana de la nit polar. Feia quatre mesos que nou persones compartien les cabanes, el brunzit del generador i els udols dels huskies, i l’última mostra de gel acabava de mostrar alguna cosa que faria la carrera d’un i enfonsaria la d’un altre. Vigdis, la cap de l’estació, volia transmetre els resultats per ràdio tan bon punt tornés el sol. No ho va fer mai: la van trobar al laboratori, al costat de la perforadora de gel. Ningú no podia haver vingut de fora – tothom fa una declaració, descobreix qui estava sol amb ella.","rules":{"standard":["Cada <b>fila</b> i cada <b>columna</b> conté exactament <b>una persona</b>. Tan bon punt col·loquis algú, ratlla tota la seva fila i la seva columna.","<b>«Al costat»</b> = directament a l’esquerra, a la dreta, a sobre o a sota, i <b>a la mateixa zona</b>. Les caselles amb objectes (els pingüins, el pal de la bandera, el pal de ràdio, la caixa, els escriptoris, els forats al gel, el fogó, la taula, el quadre elèctric, la perforadora de gel, l’armari, els huskies i el bidó de combustible) no es poden ocupar; les motos de neu, les lliteres, la cadira i els trineus de gossos sí.","Les direccions es refereixen a files i columnes, no a la mateixa línia: <i>«exactament una fila al nord d’ell hi havia una dona»</i> = la persona de la fila immediatament de sobre és una dona, en qualsevol columna.","L’assassí estava <b>sol amb la víctima</b>: ningú més era en aquella zona."],"special":["<b>Exactament una</b> zona estava <b>buida</b>."]},"roleNames":{"scientist":"científic","crew":"personal","victim":"víctima"},"personGroups":[{"id":"scientists","name":"Els científics","persons":["A","B","C","D","V"]},{"id":"crew","name":"El personal","persons":["E","F","G","H"]}],"map":{"groups":[],"gaps":[],"areas":[{"id":"Penguin 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Z\" fill=\"#1c1a1a\"/><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=\"#c68a5e\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#c68a5e\"/><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\"/><path d=\"M27 30 Q40 15 53 30\" fill=\"none\" stroke=\"#e26d8a\" stroke-width=\"3\"/><circle cx=\"26\" cy=\"35\" r=\"5\" fill=\"#e26d8a\"/><circle cx=\"54\" cy=\"35\" r=\"5\" fill=\"#e26d8a\"/></svg>","solverRole":"scientist","constraints":[{"type":"rel_any","dir":"N","exact":1,"role":"crew"}]},{"id":"D","name":"Dag","gender":"M","role":"scientist","color":"#6a1b9a","avatar":{"bg":"#1b2a33","skin":"#e7b98f","hair":"#7a4a2a","style":"short","shirt":"#e65100","beard":true,"glasses":true},"clue":"La <b>cadira</b> es trobava en algun lloc de la seva <b>fila</b>.","job":"el geofísic","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Dag\"><rect width=\"80\" height=\"80\" fill=\"#1b2a33\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#e65100\"/><rect x=\"34\" y=\"44\" width=\"12\" height=\"13\" fill=\"#e7b98f\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#e7b98f\"/><path d=\"M26 32 Q26 15 40 15 Q54 15 54 32 Q50 24 40 24 Q30 24 26 32 Z\" fill=\"#7a4a2a\"/><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=\"M27 38 Q30 52 40 53 Q50 52 53 38 Q50 47 40 48 Q30 47 27 38 Z\" fill=\"#7a4a2a\"/></svg>","solverRole":"scientist","constraints":[{"type":"row_has","obj":"chair"}]},{"id":"E","name":"Eirik","gender":"M","role":"crew","color":"#e65100","avatar":{"bg":"#5d4037","skin":"#f1c8a5","hair":"#b7482c","style":"short","shirt":"#4a5a7a","beard":true,"cap":true},"clue":"L’<b>armari</b> es trobava en algun lloc de la seva <b>fila</b>.","job":"el mecànic","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Eirik\"><rect width=\"80\" height=\"80\" fill=\"#5d4037\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#4a5a7a\"/><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=\"#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\"/><path d=\"M27 38 Q30 52 40 53 Q50 52 53 38 Q50 47 40 48 Q30 47 27 38 Z\" fill=\"#b7482c\"/><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\"/></svg>","solverRole":"crew","constraints":[{"type":"row_has","obj":"cabinet"}]},{"id":"F","name":"Fenna","gender":"F","role":"crew","color":"#00838f","avatar":{"bg":"#00695c","skin":"#f3d3b5","hair":"#7a4a2a","style":"bob","shirt":"#f4efe6","glasses":true},"clue":"Era l’<b>única</b> al costat de la <b>cadira</b>.","job":"la metgessa","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Fenna\"><rect width=\"80\" height=\"80\" fill=\"#00695c\"/><path d=\"M22 40 Q22 14 40 14 Q58 14 58 40 L58 58 L22 58 Z\" fill=\"#7a4a2a\"/><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=\"#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=\"#7a4a2a\"/><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":"crew","constraints":[{"type":"only_beside","obj":"chair"}]},{"id":"G","name":"Galina","gender":"F","role":"crew","color":"#ad1457","avatar":{"bg":"#5b2c6f","skin":"#f6d8c0","hair":"#2b1d14","style":"bun","shirt":"#6e2c4b","headphones":true},"clue":"<b>No</b> era en una cantonada de la seva zona.","job":"la radiooperadora","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Galina\"><rect width=\"80\" height=\"80\" fill=\"#5b2c6f\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#6e2c4b\"/><rect x=\"34\" y=\"44\" width=\"12\" height=\"13\" fill=\"#f6d8c0\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#f6d8c0\"/><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\"/><path d=\"M25 34 Q25 12 40 12 Q55 12 55 34\" fill=\"none\" stroke=\"#111\" stroke-width=\"3\"/><rect x=\"21\" y=\"30\" width=\"7\" height=\"12\" rx=\"3\" fill=\"#111\"/><rect x=\"52\" y=\"30\" width=\"7\" height=\"12\" rx=\"3\" fill=\"#111\"/></svg>","solverRole":"crew","constraints":[{"type":"not_corner_of_area"}]},{"id":"H","name":"Hemi","gender":"M","role":"crew","color":"#5d4037","avatar":{"bg":"#7a5a2c","skin":"#a9714b","hair":"#1c1a1a","style":"short","shirt":"#f4efe6","apron":true,"mustache":true,"mustacheColor":"#1c1a1a"},"clue":"Hi havia una <b>llitera</b> en algun lloc de la seva zona.","job":"el cuiner","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Hemi\"><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=\"#a9714b\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#a9714b\"/><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=\"M33 41 Q40 37 47 41 Q40 43 33 41 Z\" fill=\"#1c1a1a\"/></svg>","solverRole":"crew","constraints":[{"type":"area_has","obj":"bed"}]},{"id":"V","name":"Vigdis","gender":"F","role":"victim","color":"#1b1b1b","avatar":{"bg":"#5a2a2a","skin":"#f6d8c0","hair":"#d9d4cc","style":"bob","shirt":"#1565c0","scarf":"#c62828"},"clue":"<b>La víctima.</b> La van trobar al <b>Laboratori</b>, al costat de la <b>perforadora de gel</b> – sola amb l’assassí.","job":"la cap de l’estació","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Vigdis\"><rect width=\"80\" height=\"80\" fill=\"#5a2a2a\"/><path d=\"M22 40 Q22 14 40 14 Q58 14 58 40 L58 58 L22 58 Z\" fill=\"#d9d4cc\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#1565c0\"/><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=\"#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=\"M30 58 Q40 70 50 58 L48 66 Q40 76 32 66 Z\" fill=\"#c62828\"/><path d=\"M12 12 L68 68 M68 12 L12 68\" stroke=\"#e0362e\" stroke-width=\"5\" stroke-linecap=\"round\" opacity=\".9\"/></svg>","solverRole":"scientist","constraints":[{"type":"area","areas":["Laboratory"]},{"type":"beside","obj":"drill"}]}],"victim":"V","murderer":"D","solution":{"G":[1,8],"C":[2,2],"H":[3,5],"B":[4,9],"F":[5,6],"D":[6,4],"E":[7,7],"V":[8,3],"A":[9,1]},"walkthrough":[{"place":["V","F"],"cand":{"A":[[1,1],[2,1],[4,1],[9,1]],"B":[[1,4],[1,7],[1,8],[2,2],[2,5],[2,7],[2,8],[3,2],[3,4],[3,5],[3,7],[3,9],[4,2],[4,4],[4,7],[4,8],[4,9],[9,2],[9,5],[9,7],[9,8]],"C":[[2,2],[2,5],[2,7],[2,8],[3,2],[3,4],[3,5],[3,7],[3,9],[4,2],[4,4],[4,7],[4,8],[4,9],[9,2],[9,5],[9,7],[9,8]],"D":[[6,4],[6,8],[6,9]],"E":[[7,2],[7,4],[7,7],[7,8],[7,9]],"G":[[1,8],[2,2],[2,5],[4,8],[9,2],[9,5],[9,8]],"H":[[3,5],[4,4],[4,7]]},"text":"Van trobar Vigdis al Laboratori, al costat de la perforadora de gel: R6C3, R7C2, R7C4 o R8C3. L’assassí estava sol amb ella, així que al Laboratori hi ha exactament dues persones. La cadira (R6C6) era a la fila de Dag i l’armari (R7C5) a la d’Eirik: la fila 6 és de Dag, la fila 7 és d’Eirik, i a la víctima només li queda una casella – <b>Vigdis és a l’R8C3</b>. Fenna era l’única al costat de la cadira. A la zona de la mateixa cadira, la Cabana Principal, la cadira té dues caselles veïnes lliures, R5C6 i R6C5 (R6C7 és el quadre elèctric, R7C6 pertany a la Gossera), i R6C5 és a la fila de Dag: <b>Fenna és a l’R5C6</b>. Ningú més era al costat de la cadira, així que Dag no és a l’R6C5; la columna 1 és d’Anneli segons la seva pròpia declaració, les columnes 3 i 6 estan ocupades, així que Dag és a l’R6C4, a l’R6C8 o a l’R6C9. Hemi, que tenia una llitera a la seva zona, és a la Cabana Principal (R3C5, R4C4 o R4C7). Galina no era en una cantonada de la seva zona, i Camila, que tenia un membre del personal exactament una fila al nord d’ella, no és a la fila 1."},{"place":["A"],"cand":{"B":[[1,4],[2,5],[2,7],[3,4],[3,7],[4,2],[4,8],[4,9]],"C":[[2,2],[2,5],[2,7],[2,8],[3,2],[3,4],[3,5],[3,7],[3,9],[4,2],[4,4],[4,7],[4,8],[4,9]],"D":[[6,4],[6,8],[6,9]],"E":[[7,2],[7,4],[7,7],[7,8],[7,9]],"G":[[1,8],[2,2],[2,5],[4,8]],"H":[[3,5],[4,4],[4,7]]},"text":"Bjørn diu que algú de la seva zona era al costat d’un trineu de gossos. Hi ha dos trineus de gossos, R8C5 a la Gossera i R9C2 al Camp de Gel, i «al costat» només compta dins de la mateixa zona: al costat del trineu de R8C5 només hi ha R9C5 (R8C4 és al Laboratori, R7C5 és l’armari, R8C6 un husky), al costat del trineu de R9C2 hi ha R9C1 i R9C3 (R8C2 és al Laboratori). Bjørn no pot ser a la Gossera: amb aquella persona a l’R9C5, necessitaria una casella de la Gossera fora de la fila 9, però R7C6 és a la fila d’Eirik, i R8C5 i R8C7 a la de Vigdis. Així que Bjørn és al Camp de Gel, i allà hi ha algú a l’R9C1 o a l’R9C3. R9C3 és a la columna de Vigdis, queda R9C1 – i la columna 1 és d’Anneli: <b>Anneli és a l’R9C1</b>. Mirem ara la Gossera: les files 8 i 9 estan ocupades, i la seva última casella lliure, R7C6, és a la fila d’Eirik però a la columna de Fenna. La Gossera és buida. Exactament una zona estava buida – és la Gossera, així que cadascuna de les altres sis zones té algú."},{"place":["G"],"cand":{"B":[[2,5],[2,7],[3,7],[4,9]],"C":[[2,2],[2,5],[2,7],[3,2],[3,5],[3,7],[3,9],[4,7],[4,9]],"D":[[6,4],[6,9]],"E":[[7,4],[7,7],[7,9]],"H":[[3,5],[4,7]]},"text":"Comencem per la Colònia de Pingüins: les columnes 1 i 3 estan ocupades, així que les seves úniques caselles lliures són R2C2 i R3C2. A la Colònia de Pingüins hi ha algú, així que aquesta persona ocupa la columna 2, i ningú de fora de la Colònia pot ser en aquesta columna. L’assassí estava sol amb Vigdis al Laboratori, a la fila 6 o a la fila 7 – és Dag o Eirik. Les caselles del Laboratori d’aquestes dues files són R6C3, R6C4, R7C2 i R7C4; la columna 3 és de Vigdis i la columna 2 pertany a la Colònia, així que l’assassí és a l’R6C4 o a l’R7C4 i ocupa la columna 4. Les files 5, 8 i 9 estan ocupades, les files 6 i 7 són de Dag i d’Eirik, així que les files de la 1 a la 4 queden per a Bjørn, Camila, Galina i Hemi. A la fila 1 queden fora les columnes 1, 3, 4 i 6, R1C2 és un pingüí, R1C5 el pal de la bandera i R1C9 el pal de ràdio: només queden R1C7 i R1C8, totes dues a la Cabina de Ràdio. Bjørn és al Camp de Gel, Hemi a la Cabana Principal i Camila no és a la fila 1, així que la fila 1 és de Galina. R1C7 és una cantonada de la Cabina de Ràdio, i ella no era en una cantonada: <b>Galina és a l’R1C8</b>."},{"place":["C","H"],"cand":{"B":[[4,9]],"D":[[6,4],[6,9]],"E":[[7,4],[7,7],[7,9]]},"text":"A la Colònia de Pingüins hi ha algú – i per a això només queda Camila: Dag i Eirik són a les files 6 i 7, Bjørn al Camp de Gel, Hemi a la Cabana Principal i Galina a la Cabina de Ràdio. Així que Camila és a l’R2C2 o a l’R3C2. Exactament una fila al nord d’ella hi havia un membre del personal. A l’R3C2 seria la persona de la fila 2 – però Galina és a la fila 1, Fenna a la fila 5, Eirik a la fila 7, i la Cabana Principal, on és Hemi, no té cap casella a la fila 2. Per tant, <b>Camila és a l’R2C2</b>, una fila al sud de Galina, la radiooperadora. Qui és a la columna 5? R1C5 és el pal de la bandera, R4C5 el fogó, R5C5 la taula i R7C5 l’armari; les files 2, 8 i 9 estan ocupades; i R6C5, a la fila de Dag, és al costat de la cadira, on només hi havia Fenna. Només queda R3C5, una casella de la Cabana Principal: <b>Hemi és a l’R3C5</b>."},{"place":["B","D","E"],"text":"La fila 4 és l’única que li queda a Bjørn, i és al Camp de Gel: R4C2 és a la columna de Camila, R4C3 a la de Vigdis i R4C8 a la de Galina. <b>Bjørn és a l’R4C9</b>, assegut a la moto de neu que hi ha allà – i la persona de la seva declaració és Anneli, a l’R9C1, al costat del trineu de gossos de R9C2. Només queden lliures les columnes 4 i 7, per a Dag a la fila 6 i Eirik a la fila 7. R6C7 és el quadre elèctric, així que <b>Dag és a l’R6C4</b> i <b>Eirik és a l’R7C7</b>, al Cobert del Generador. Totes les zones excepte la Gossera tenen algú, tal com exigeix la regla. R6C4 és una casella del Laboratori: l’única persona que estava sola amb Vigdis al Laboratori és Dag – ell és l’assassí."},{"final":true,"text":"Cas tancat: Vigdis estava sola al Laboratori amb el geofísic. <b>Dag és l’assassí!</b>"}],"solver":{"rules":[{"type":"n_empty_areas","n":1}],"occupiable":["bed","chair","sled","snowmobile"]},"verification":{"tool":"tools/murdoku_solver.py","unique":true,"guessFree":true,"checked":"2026-09-29"}}