反連續數獨
6
4
5
1
3
2
3
8
1
4
6
8
9
7
4
6
2
4
8
9
5
3
7
4
8
4
8
7
9
2
6
1
6
9
8
3
9
7
正交相鄰嘅單元格唔可以包含連續數字
什麼是 反連續數獨？
Anti-Consecutive Sudoku（一種更嚴格的Non-Consecutive Sudoku形式）規定沒有兩個正交相鄰的單元格可以包含連續的整數。這種變體通常需要更少的給定數字，因為僅該約束就消除了許多candidate pairs。它有時與Anti-King或Anti-Knight結合以創造極度受限的謎題。
一覽
| 約束類型 | 反限制 |
| 典型給定數字 | 18–24 |
| 難度評級 | ★★★☆☆ 3/5 |
| 平均解題時間 — 簡單 | 5 分鐘 |
| 平均解題時間 — 中等 | 13 分鐘 |
| 平均解題時間 — 困難 | 26 分鐘 |
| 平均解題時間 — 專家 | 48 分鐘 |
如何解 反連續數獨
| 技巧 | 它的作用 | 等級 |
|---|---|---|
| Global Candidate Pruning | For every filled cell, remove its ±1 neighbours from all orthogonally adjacent cells immediately. | 進階 |
| Digit 5 is Most Constrained | 5 cannot be adjacent to 4 or 6. Use this to restrict placement of 5 across the entire grid. | 進階 |
| Chain Propagation | Placing a digit propagates constraints along rows and columns, often triggering a cascade of forced placements. | 進階 |
| Forbidden Pair Maps | Build a map of forbidden digit pairs for each adjacent pair of cells and use it to eliminate candidates systematically. | 進階 |
平均解題時間
簡單
5 分鐘
中等
13 分鐘
困難
26 分鐘
專家
48 分鐘
常見問題
乜嘢係Anti-Consecutive Sudoku？
Anti-Consecutive Sudoku is a variant where no two orthogonally adjacent cells (horizontally or vertically neighbouring) may contain consecutive digits. The rule applies everywhere on the grid without any markers. Standard Sudoku rules also apply throughout.
How is Anti-Consecutive different from Non-Consecutive Sudoku?
Anti-Consecutive and Non-Consecutive Sudoku are the same constraint — the name is used interchangeably by different puzzle communities. Both mean: no two horizontally or vertically neighbouring cells may hold digits that differ by exactly 1.
Which digit placements trigger the most eliminations?
Digits in the middle of the range (4, 5, 6) eliminate two consecutive neighbours simultaneously. Placing a 5 removes both 4 and 6 from all four orthogonal neighbours, and placing those 4s and 6s in turn removes 3 and 7 from their neighbours — creating a cascade effect. Starting with central digits often unlocks large portions of the grid.
Is Anti-Consecutive Sudoku accessible for beginners?
What is the best approach to Anti-Consecutive Sudoku?
Treat the anti-consecutive constraint as an additional elimination layer. After every digit placement, immediately update all four orthogonal neighbours to remove ±1 from their candidate lists. The more given digits you have to start with, the more these cascade eliminations interact.
How long does Anti-Consecutive Sudoku take to solve?
Easy puzzles take 5–15 minutes. Medium puzzles run 15–30 minutes. Hard puzzles average 30–55 minutes and expert puzzles can take 60–90 minutes. Expert puzzles with very few given digits rely entirely on the anti-consecutive constraint for deductions.