Skyscraper Sudoku
3
5
3
1
4
2
3
2
2
2
3
1
2
3
2
3
3
3
5
1
3
9
8
7
7
2
5
6
7
3
4
5
1
8
7
4
2
6
9
3
8
7
9
5
4
6
7
4
8
5
2
4
3
1
8
5
5
1
5
2
4
2
3
2
3
4
3
2
4
4
2
1
2
4
Kesilapan
0/3
Skor
-
Masa
00:00
Kemajuan0%
Mudah · Sudoku Pencakar Langit
Tukar kesukaran di atas ↑
Cara bermain Skyscraper Sudoku
Peraturan Sudoku standard terpakai. Setiap nombor petunjuk biru memberitahu anda berapa digit yang kelihatan melihat ke dalam grid dari tepi itu — satu digit kelihatan hanya jika ia lebih besar daripada semua digit sebelumnya dari arah itu.
Panduan penuh →
Outside clues menunjukkan berapa banyak 'bangunan' yang kelihatan dari tepi tersebut.
Skyscraper Sudoku Mudah
Skyscraper Sudoku Sederhana
Skyscraper Sudoku Sukar
Skyscraper Sudoku Pakar
Apakah Skyscraper Sudoku?
Sudoku Skyscraper membayangkan setiap digit sebagai bangunan dengan ketinggian tersebut. Petunjuk di luar grid menunjukkan berapa banyak bangunan yang dapat anda lihat dari tepi tersebut ke dalam — bangunan yang lebih tinggi menghalang semua bangunan yang lebih pendek di belakangnya. Petunjuk 1 bermaksud bangunan pertama mestilah 9. Petunjuk 9 bermaksud bangunan disusun dalam urutan meningkat secara ketat (1,2,3,4,5,6,7,8,9). Varian ini memerlukan kedua-dua logik Sudoku dan penaakulan pilih atur.
Sekilas Pandang
| Jenis kekangan | Petunjuk Luar |
| Biasa diberi | 4–10 clue values |
| Penilaian kesukaran | ★★★★☆ 4/5 |
| Purata masa selesaikan — Mudah | 12 min |
| Purata masa selesaikan — Sederhana | 25 min |
| Purata masa selesaikan — Sukar | 50 min |
| Purata masa selesaikan — Pakar | 80 min |
Cara Menyelesaikan Skyscraper Sudoku
| Teknik | Apa yang dilakukannya | Tahap |
|---|---|---|
| Clue 1 Forces 9 First | A visibility clue of 1 means the first building from that edge must be a 9. All shorter buildings behind it are hidden. | Lanjutan |
| Clue 9 Forces Ascending Order | A clue of 9 means all buildings are visible, so digits are in strictly ascending order from that edge: 1, 2, 3, 4, 5, 6, 7, 8, 9. | Lanjutan |
| Permutation Enumeration | For each clue value V, enumerate all permutations of 1–9 that give exactly V visible buildings. Cross-reference opposite-edge clues. | Lanjutan |
| 9 Always Visible | The digit 9 is always visible from either edge. The digit 8 is visible only if it appears before any 9 from that edge. | Lanjutan |
| Multi-Edge Constraint | Combine the clue from one edge with the opposite edge's clue. Both must be simultaneously satisfiable. | Lanjutan |
Purata Masa Selesaikan
Mudah
12 min
Sederhana
25 min
Sukar
50 min
Pakar
80 min
Soalan Lazim
Apakah Skyscraper Sudoku?
Skyscraper Sudoku is a variant where numbers appear outside the grid on all four sides. Each number tells you how many distinct 'buildings' (digits) are visible when looking into that row or column from that side. Taller buildings hide shorter ones behind them — a larger digit blocks any smaller digit placed further into the row.
How does visibility work in Skyscraper Sudoku?
Imagine the digits in a row as buildings of different heights. Looking from one end, you can see a building only if no taller building stands between you and it. A clue of 1 means only the first building is visible, so it must be the tallest (digit 9). A clue of 9 means all buildings are visible, so the row must be in ascending order from that side.
What do extreme clue values tell me?
A clue of 1 means the first cell from that side holds a 9 — it blocks everything else. A clue of 9 means the row or column is in strictly ascending order from that direction (1,2,3,4,5,6,7,8,9). Both are immediately actionable. Mid-range clues require enumerating valid permutations.
Is Skyscraper Sudoku harder than regular Sudoku?
Yes, generally. Skyscraper clues require enumerating valid digit permutations for each row and column, which is more combinatorially intensive than classic Sudoku elimination. Easy puzzles are accessible; hard and expert puzzles require tracking visibility across multiple rows and columns simultaneously.
What is the best first strategy for Skyscraper Sudoku?
Start with clues of 1 and 9 — they immediately fix a digit or fully determine the order of a row. Then look for clues of 2, which constrain the position of the 9 significantly. Combine skyscraper deductions with standard Sudoku box and row/column scans.
How long does Skyscraper Sudoku take to solve?
Easy puzzles take 8–20 minutes. Medium puzzles run 20–40 minutes. Hard puzzles average 40–75 minutes and expert puzzles often exceed 90 minutes. Fast solvers develop the ability to enumerate valid visibility permutations quickly without writing them all out.