{"format":"murdoku-puzzle/1","id":"skyscraper","version":1,"difficulty":"expert","level":9,"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":"Gratacels","tagline":"Un parc de maquetes · una prova de llums al vespre · deu torres, un taller","author":"mathace","concept":"Murdoku – Manuel Garand (murdoku.com); unofficial fan-made case","created":"2026-10-23","story":"Un parc de maquetes a la vora d’Istanbul, la secció «Torres del món», a finals de setembre. El parc ha tancat, però es proven els reflectors de les deu maquetes de gratacels, així que els maquetistes, tres membres del personal del parc i quatre visitants encara són a les parcel·les. El parc s’enfosqueix per a la prova – i quan s’encenen els llums, Volkan, el maquetista en cap, el troben mort. L’espectacle es va cancel·lar.","rules":{"standard":["Cada fila i cada columna conté exactament una persona. Tan bon punt col·loquis algú, ratlla tota la seva fila i la seva columna.","«Al costat» = directament a l’esquerra, a la dreta, a sobre o a sota, i a la mateixa zona. Les caselles amb objectes (les deu maquetes, els arbres, els rètols, les làmpades, la font, la màquina expenedora, la taquilla, els norais, la taula, el prestatge, la caixa) no es poden ocupar; els bancs i els tamborets sí. Una cantonada d’una zona és una casella d’aquesta zona que dona a l’exterior (una altra zona o la vora del tauler) per un costat horitzontal i per un de vertical.","Les direccions es refereixen a files, no a la mateixa columna: «exactament una fila al nord d’ella hi havia un home del personal del parc» = la persona de la fila immediatament superior és un home del personal del parc, en qualsevol columna.","«Hi havia un rètol en algun lloc de la seva columna» = hi ha un rètol en una de les caselles de la seva columna, en qualsevol zona; «hi havia un banc en algun lloc de la seva zona» = en una casella de la zona on era. La «primera fila» és la fila 1, l’«última columna» és la columna 12.","L’assassí estava sol amb la víctima: ningú més era en aquella zona."],"special":["A cada zona de gratacels hi havia exactament una persona."],"notes":["Les zones de gratacels són les deu zones que porten el nom d’una torre – tota la parcel·la al voltant de la maqueta, no només les caselles del costat; el Taller no n’és una."],"example":{}},"roleNames":{"maker":"maquetista","visitor":"visitant","staff":"personal","victim":"víctima"},"personGroups":[{"id":"makers","name":"Volkan i els maquetistes","persons":["A","B","C","D","V"]},{"id":"visitors","name":"Els visitants","persons":["E","F","G","H"]},{"id":"staff","name":"El personal del parc","persons":["I","J","K"]}],"map":{"groups":[],"gaps":[],"areas":[{"id":"Petronas Towers","labelAt":[2,3],"cells":[[1,1],[1,2],[1,3],[1,4],[1,5],[2,1],[2,2],[2,3],[2,4],[3,1],[3,2],[3,4],[4,4]],"fill":"#d9e4d2","pattern":"tiles","name":"Torres Petronas"},{"id":"Empire State Building","labelAt":[2,6],"cells":[[1,6],[1,7],[1,8],[1,9],[2,5],[2,6],[2,7],[2,8],[3,5],[3,6],[3,7]],"fill":"#e2dccb","pattern":"tiles","name":"Empire State Building"},{"id":"Chrysler Building","labelAt":[3,10],"cells":[[1,10],[1,11],[1,12],[2,9],[2,10],[2,11],[2,12],[3,9],[3,10],[3,11],[3,12],[4,11]],"fill":"#d6dde6","pattern":"tiles","name":"Chrysler Building"},{"id":"The Shard","labelAt":[4,2],"cells":[[3,3],[4,1],[4,2],[4,3],[5,1],[5,2],[5,3],[6,1],[6,2],[7,2],[7,3]],"fill":"#dfe6e8","pattern":"tiles","name":"The Shard"},{"id":"Taipei 101","labelAt":[5,11],"cells":[[3,8],[4,8],[4,9],[4,10],[4,12],[5,9],[5,10],[5,11],[5,12],[6,8],[6,9],[6,10],[7,8]],"fill":"#e6d9d2","pattern":"tiles","name":"Taipei 101"},{"id":"Workshop","labelAt":[6,4],"cells":[[4,5],[4,6],[4,7],[5,4],[5,5],[5,6],[5,7],[5,8],[6,3],[6,4],[6,5],[6,6],[6,7],[7,4],[7,5],[7,6],[8,4],[8,5]],"fill":"#dcc9ab","pattern":"planks","name":"Taller"},{"id":"Shanghai Tower","labelAt":[7,10],"cells":[[6,11],[6,12],[7,9],[7,10],[7,11],[7,12],[8,9],[8,10],[8,12],[9,12],[10,12],[11,12],[12,12]],"fill":"#d5e3e3","pattern":"tiles","name":"Torre de Xangai"},{"id":"Burj Khalifa","labelAt":[12,2],"cells":[[7,1],[8,1],[8,2],[8,3],[9,1],[9,2],[9,3],[9,4],[10,1],[10,2],[10,3],[10,4],[11,1],[11,2],[11,3],[12,1],[12,2],[12,3],[12,4]],"fill":"#e8dfd0","pattern":"tiles","name":"Burj Khalifa"},{"id":"The Gherkin","labelAt":[12,6],"cells":[[7,7],[8,6],[8,7],[8,8],[9,5],[9,6],[9,7],[10,5],[10,6],[11,4],[11,5],[11,6],[12,5],[12,6],[12,7],[12,8]],"fill":"#d8e6d0","pattern":"tiles","name":"The Gherkin"},{"id":"Transamerica Pyramid","labelAt":[10,10],"cells":[[8,11],[9,10],[9,11],[10,9],[10,10],[10,11],[11,9],[11,10],[11,11],[12,9],[12,10],[12,11]],"fill":"#e4e0cf","pattern":"tiles","name":"Piràmide Transamerica"},{"id":"Flatiron Building","labelAt":[10,8],"cells":[[9,8],[9,9],[10,7],[10,8],[11,7],[11,8]],"fill":"#e3d4d8","pattern":"tiles","name":"Flatiron Building"}],"objectTypes":{"bench":{"occupiable":true,"name":"banc","icon":""},"stool":{"occupiable":true,"name":"tamboret","icon":""},"petronas":{"occupiable":false,"name":"maqueta de les Torres Petronas","icon":"","iconTall":""},"empire":{"occupiable":false,"name":"maqueta de l’Empire State Building","icon":"","iconTall":""},"chrysler":{"occupiable":false,"name":"maqueta del Chrysler Building","icon":"","iconTall":""},"shard":{"occupiable":false,"name":"maqueta de The Shard","icon":"","iconTall":""},"taipei":{"occupiable":false,"name":"maqueta de Taipei 101","icon":"","iconTall":""},"shanghai":{"occupiable":false,"name":"maqueta de la Torre de Xangai","icon":"","iconTall":""},"transamerica":{"occupiable":false,"name":"maqueta de la Piràmide Transamerica","icon":"","iconTall":""},"burj":{"occupiable":false,"name":"maqueta del Burj Khalifa","icon":"","iconTall":""},"gherkin":{"occupiable":false,"name":"maqueta de The Gherkin","icon":"","iconTall":""},"flatiron":{"occupiable":false,"name":"maqueta del Flatiron Building","icon":"","iconTall":""},"tree":{"occupiable":false,"name":"arbre","icon":""},"sign":{"occupiable":false,"name":"rètol","icon":""},"lamp":{"occupiable":false,"name":"làmpada","icon":""},"fountain":{"occupiable":false,"name":"font","icon":""},"vending":{"occupiable":false,"name":"màquina expenedora","icon":""},"booth":{"occupiable":false,"name":"taquilla","icon":"","iconTall":""},"bollard":{"occupiable":false,"name":"norai","icon":""},"table":{"occupiable":false,"name":"taula","icon":"","iconTall":""},"shelf":{"occupiable":false,"name":"prestatge","icon":""},"crate":{"occupiable":false,"name":"caixa","icon":""}},"wallTypes":{},"objects":[{"cell":[1,1],"type":"tree"},{"cell":[1,2],"type":"petronas","span":[2,1]},{"cell":[1,7],"type":"empire","span":[2,1]},{"cell":[1,11],"type":"chrysler","span":[2,1]},{"cell":[2,4],"type":"bench"},{"cell":[2,9],"type":"lamp"},{"cell":[3,6],"type":"bench"},{"cell":[4,5],"type":"shelf"},{"cell":[4,10],"type":"taipei","span":[2,1]},{"cell":[5,2],"type":"shard","span":[2,1]},{"cell":[5,6],"type":"table"},{"cell":[6,6],"type":"stool"},{"cell":[6,9],"type":"bench"},{"cell":[6,11],"type":"shanghai","span":[2,1]},{"cell":[7,1],"type":"sign"},{"cell":[7,5],"type":"stool"},{"cell":[8,4],"type":"crate"},{"cell":[8,7],"type":"fountain"},{"cell":[8,11],"type":"booth"},{"cell":[9,2],"type":"burj","span":[2,1]},{"cell":[9,5],"type":"bollard"},{"cell":[9,6],"type":"gherkin","span":[2,1]},{"cell":[9,7],"type":"bollard"},{"cell":[9,8],"type":"sign"},{"cell":[9,10],"type":"vending"},{"cell":[10,4],"type":"tree"},{"cell":[10,7],"type":"flatiron","span":[2,1]},{"cell":[10,9],"type":"lamp"},{"cell":[10,11],"type":"transamerica","span":[2,1]},{"cell":[11,1],"type":"bench"},{"cell":[11,9],"type":"tree"},{"cell":[11,10],"type":"lamp"},{"cell":[12,4],"type":"lamp"},{"cell":[12,8],"type":"sign"},{"cell":[12,10],"type":"lamp"}],"wallFeatures":[],"extras":[],"cellSize":46,"labelStyle":2},"persons":[{"id":"A","name":"Ahmet","gender":"M","role":"maker","color":"#c62828","avatar":{"bg":"#3a4a5a","skin":"#e9c6a4","hair":"#1c1a1a","style":"short","shirt":"#5a6a7a","beard":true},"clue":"Era a la zona de la Piràmide Transamerica. Era al costat d’una làmpada.","job":"maquetista, façanes","avatarSvg":"","solverRole":"maker","constraints":[{"type":"area","areas":["Transamerica Pyramid"]},{"type":"beside","obj":"lamp"}]},{"id":"B","name":"Berna","gender":"F","role":"maker","color":"#1565c0","avatar":{"bg":"#4a3a4a","skin":"#f1d0b0","hair":"#2a1a10","style":"long","shirt":"#2a5a6a","earrings":true,"lips":"#9a2a3a"},"clue":"Era en una cantonada de la seva zona. Hi havia un rètol en algun lloc de la seva columna.","job":"maquetista, il·luminació","avatarSvg":"","solverRole":"maker","constraints":[{"type":"corner_of_area"},{"type":"col_has","obj":"sign"}]},{"id":"C","name":"Cem","gender":"M","role":"maker","color":"#2e7d32","avatar":{"bg":"#3a3a4a","skin":"#e7b98f","hair":"#2a1a10","style":"short","shirt":"#3a4a6a","mustache":true,"mustacheColor":"#2a1a10"},"clue":"Era a la zona del Burj Khalifa. Era en una cantonada de la seva zona.","job":"maquetista, impressió 3D","avatarSvg":"","solverRole":"maker","constraints":[{"type":"area","areas":["Burj Khalifa"]},{"type":"corner_of_area"}]},{"id":"D","name":"Defne","gender":"F","role":"maker","color":"#6a1b9a","avatar":{"bg":"#5a4a3a","skin":"#f3d3b5","hair":"#5a3a22","style":"bob","shirt":"#6a7a3a","glasses":true},"clue":"Era a la zona de The Gherkin. Era en una cantonada de la seva zona.","job":"maquetista, paisatgisme","avatarSvg":"","solverRole":"maker","constraints":[{"type":"area","areas":["The Gherkin"]},{"type":"corner_of_area"}]},{"id":"E","name":"Emre","gender":"M","role":"visitor","color":"#e65100","avatar":{"bg":"#2f3f4f","skin":"#efc7a3","hair":"#1c1a1a","style":"slick","shirt":"#2a2a30","glasses":true},"clue":"Era a l’última columna.","job":"estudiant d’arquitectura","avatarSvg":"","solverRole":"visitor","constraints":[{"type":"col","cols":[12]}]},{"id":"F","name":"Fatma","gender":"F","role":"visitor","color":"#00838f","avatar":{"bg":"#5a2a3a","skin":"#f3d3b5","hair":"#3a2a1a","style":"bun","shirt":"#7a2a3a","scarf":"#c8a050","lips":"#b03050"},"clue":"Era a la zona de la Torre de Xangai. Era en una cantonada de la seva zona.","job":"bloguera de viatges","avatarSvg":"","solverRole":"visitor","constraints":[{"type":"area","areas":["Shanghai Tower"]},{"type":"corner_of_area"}]},{"id":"G","name":"Gökhan","gender":"M","role":"visitor","color":"#5d4037","avatar":{"bg":"#3a4a3a","skin":"#d9a77c","hair":"#4a4a4a","style":"bald","shirt":"#4a3a2a","beard":true},"clue":"No era en una cantonada de la seva zona.","job":"fotògraf","avatarSvg":"","solverRole":"visitor","constraints":[{"type":"not_corner_of_area"}]},{"id":"H","name":"Hande","gender":"F","role":"visitor","color":"#ad1457","avatar":{"bg":"#3a3a5a","skin":"#f2d2b4","hair":"#8a4a1a","style":"ponytail","shirt":"#1f3a6a","necklace":true},"clue":"Hi havia un banc en algun lloc de la seva zona. Exactament una fila al nord d’ella hi havia un home del personal del parc.","job":"professora","avatarSvg":"","solverRole":"visitor","constraints":[{"type":"area_has","obj":"bench"},{"type":"rel_any","dir":"N","exact":1,"gender":"M","role":"staff"}]},{"id":"I","name":"İsmail","gender":"M","role":"staff","color":"#558b2f","avatar":{"bg":"#2a2a3a","skin":"#e9c6a4","hair":"#2a1a10","style":"short","shirt":"#2b3a4f","mustache":true,"mustacheColor":"#2a1a10","cap":"#2a2a30"},"clue":"No era al costat de la caixa.","job":"vigilant nocturn","avatarSvg":"","solverRole":"staff","constraints":[{"type":"not_beside","obj":"crate"}]},{"id":"J","name":"Jale","gender":"F","role":"staff","color":"#283593","avatar":{"bg":"#4a4a3a","skin":"#f1c8a5","hair":"#1c1a1a","style":"bun","shirt":"#3a4a4a","glasses":true,"earrings":true},"clue":"Era a la zona de The Shard.","job":"taquillera","avatarSvg":"","solverRole":"staff","constraints":[{"type":"area","areas":["The Shard"]}]},{"id":"K","name":"Kerem","gender":"M","role":"staff","color":"#f9a825","avatar":{"bg":"#4a3a3a","skin":"#efc7a3","hair":"#5a3a22","style":"short","shirt":"#5a4a2a","beard":true,"cap":"#2a2a30"},"clue":"Era a la primera fila.","job":"electricista","avatarSvg":"","solverRole":"staff","constraints":[{"type":"row","rows":[1]}]},{"id":"V","name":"Volkan","gender":"M","role":"victim","color":"#1b1b1b","avatar":{"bg":"#2a2a3a","skin":"#e9c6a4","hair":"#8a8a8a","style":"slick","shirt":"#1f1f24","mustache":true,"mustacheColor":"#8a8a8a","apron":"#6a5a4a"},"clue":"La víctima. El van trobar al Taller, al costat de la taula – sol amb l’assassí.","job":"el maquetista en cap","avatarSvg":"","solverRole":"maker","constraints":[{"type":"area","areas":["Workshop"]},{"type":"beside","obj":"table"}]}],"victim":"V","murderer":"I","solution":{"A":[10,10],"B":[11,8],"C":[9,4],"D":[12,5],"E":[4,12],"F":[8,9],"G":[3,11],"H":[2,1],"I":[6,3],"J":[7,2],"K":[1,6],"V":[5,7]},"walkthrough":[{"place":[],"cand":{"E":[[2,12],[3,12],[4,12],[5,12]],"K":[[1,3],[1,4],[1,5],[1,6],[1,8],[1,9],[1,10]],"A":[[10,10],[12,9],[12,11]],"C":[[8,3],[9,4],[12,1]],"F":[[7,9],[8,9],[8,10]],"D":[[7,7],[8,6],[8,8],[11,4],[12,5]],"J":[[3,3],[4,1],[4,2],[4,3],[5,1],[5,3],[6,1],[7,2],[7,3]]},"text":"The bookkeeping. Every square of Emre’s is in the last column, so column 12 is his and nobody else may stand in it; Kerem’s squares are all in row 1, so row 1 is his. Five suspects name their skyscraper area – Jale The Shard, Fatma the Shanghai Tower, Cem the Burj Khalifa, Defne The Gherkin, Ahmet the Transamerica Pyramid – and every skyscraper area held exactly one person, so those five areas are theirs alone: cross everybody else out of them. Cem’s corners of the Burj Khalifa area are R8C3, R9C4 and R12C1; Defne’s corners of the Gherkin area R7C7, R8C6, R8C8, R11C4 and R12C5; Ahmet stands beside a lamp on R10C10, R12C9 or R12C11."},{"place":[],"cand":{"C":[[8,3],[9,4],[12,1]],"D":[[7,7],[8,6],[8,8],[11,4],[12,5]],"B":[[2,8],[3,1],[3,8],[4,8],[5,8],[6,8],[7,8],[11,8]],"G":[[2,1],[2,3],[2,4],[2,6],[2,10],[3,4],[3,6],[3,10],[3,11],[4,6],[4,9],[5,5],[5,7],[5,9],[5,11],[6,4],[6,5],[6,6],[6,9],[7,4],[7,5]],"I":[[2,1],[2,3],[2,4],[2,5],[2,6],[2,8],[2,10],[3,1],[3,2],[3,4],[3,5],[3,6],[3,7],[3,9],[3,10],[3,11],[4,4],[4,6],[4,7],[4,8],[4,9],[4,11],[5,4],[5,5],[5,7],[5,8],[5,9],[5,11],[6,3],[6,4],[6,5],[6,6],[6,7],[6,8],[6,9],[6,10],[7,5],[7,6],[7,8],[9,9],[11,8]]},"text":"The skyscraper. Rows 9 and 11 each have only two free squares left: R9C4 (Cem’s Burj corner) and R9C9 (a corner of the Flatiron Building) in row 9, R11C4 (Defne’s Gherkin corner) and R11C8 (the other Flatiron corner) in row 11. The two “feet” R9C4 and R11C4 stand in the same column, so at most one of them is occupied – which means at least one of the “roofs” R9C9 / R11C8 is: the Flatiron Building area’s one person stands on one of them. The area’s third free square, R10C8, is therefore nobody’s – cross it out for everybody."},{"place":["A"],"cand":{"F":[[7,9],[8,9]],"C":[[8,3],[9,4],[12,1]],"D":[[7,7],[8,6],[8,8],[11,4],[12,5]],"B":[[2,8],[3,1],[3,8],[4,8],[5,8],[6,8],[7,8],[11,8]]},"text":"Row 10. With R10C8 gone, row 10 has a single free square: Ahmet is on R10C10, beside the lamp of the Transamerica Pyramid. Column 10 is closed, so Fatma is left with R7C9 and R8C9 – column 9 is hers."},{"place":["C","D","F"],"cand":{"B":[[3,1],[11,8]],"K":[[1,3],[1,6]],"E":[[2,12],[3,12],[4,12],[5,12]],"G":[[2,1],[2,3],[2,6],[3,6],[3,11],[4,6],[5,7],[5,11],[6,6]],"H":[[2,1],[2,3],[2,6],[3,1],[3,2],[3,6],[3,7],[5,11]],"I":[[2,1],[2,3],[2,6],[3,1],[3,2],[3,6],[3,7],[3,11],[4,6],[4,7],[4,11],[5,7],[5,11],[6,3],[6,6],[6,7],[7,6],[11,8]],"J":[[3,3],[4,1],[4,2],[4,3],[5,1],[5,3],[6,1],[7,2],[7,3]],"V":[[4,6],[5,7],[6,6]]},"text":"The chain. Column 9 being Fatma’s, R9C9 is nobody else’s, and row 9 keeps one square: Cem is on R9C4. Column 4 is closed, so Defne loses R11C4 and row 12 keeps one square for her: Defne is on R12C5. Row 8 is left with R8C9: Fatma is on R8C9. Row 11 now has a single free square, R11C8 – Berna or İsmail stands there; either way column 8 is closed for everybody else, so Berna is down to R3C1 or R11C8."},{"place":[],"cand":{"V":[[4,6],[5,7],[6,6]],"K":[[1,3],[1,6]],"G":[[2,1],[2,3],[2,6],[3,6],[3,11],[5,11]],"I":[[2,1],[2,3],[2,6],[3,1],[3,2],[3,6],[3,7],[3,11],[4,11],[5,11],[6,3],[11,8]],"J":[[3,3],[4,1],[4,2],[4,3],[5,1],[5,3],[6,1],[7,2],[7,3]]},"text":"Two columns, two people. Volkan was beside the table: his squares R4C6, R5C7 and R6C6 are all in columns 6–7. The Empire State Building area’s free squares – R1C6, R2C6, R3C6, R3C7 – are in columns 6–7 too, and that area holds exactly one person. Columns 6 and 7 hold exactly two people, so they are Volkan and the Empire State Building area’s person and nobody else: the Workshop’s squares in columns 6–7 (R4C6, R4C7, R5C7, R6C6, R6C7, R7C6) are not Gökhan’s or İsmail’s."},{"place":["I","J","K","V"],"cand":{"B":[[3,1],[11,8]],"E":[[2,12],[3,12],[4,12]],"G":[[2,1],[3,11]],"H":[[2,1],[3,1]]},"text":"The murderer. Row 7 is left with Jale’s squares only, R7C2 and R7C3. The Workshop must hold a second person beside Volkan – the murderer – and the only suspect who can still stand there is İsmail, on R6C3: İsmail is the murderer. Column 3 closes: Jale is on R7C2, Kerem on R1C6 (the Empire State Building), and Volkan loses R4C6 (Kerem’s column) and R6C6 (İsmail’s row): Volkan lay on R5C7."},{"place":["B","G","H","E"],"text":"Column 1. Hande’s two remaining squares, R2C1 and R3C1, are both in column 1, so the column is hers: Berna is on R11C8 (the Flatiron Building), Gökhan loses R2C1 and stands on R3C11 (the Chrysler Building), Hande on R2C1 (the Petronas Towers – Kerem, a man of the park staff, is indeed exactly one row north of her) and Emre on R4C12 (Taipei 101)."},{"final":true,"text":"All twelve are placed: ten skyscraper areas with one person each, and in the Workshop only İsmail was with Volkan – the night guard is the murderer."}],"solver":{"rules":[{"type":"area_count_min_each","areas":["Petronas Towers","Empire State Building","Chrysler Building","The Shard","Taipei 101","Shanghai Tower","Transamerica Pyramid","Burj Khalifa","The Gherkin","Flatiron Building"],"n":1},{"type":"area_count_max_each","areas":["Petronas Towers","Empire State Building","Chrysler Building","The Shard","Taipei 101","Shanghai Tower","Transamerica Pyramid","Burj Khalifa","The Gherkin","Flatiron Building"],"n":1}],"occupiable":["bench","stool"]},"verification":{"tool":"tools/murdoku_solver.py","unique":true,"guessFree":true,"checked":"2026-10-23"},"score":255.071}