反连续数独
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
正交相邻的单元格不能包含连续的数字
什么是反连续数独?
反连续数独(非连续数独的更严格形式)规定没有两个正交相邻的单元格可以包含连续整数。这种变体通常需要更少的给定数字,因为仅约束就消除了许多候选对。它有时与反国王或反骑士结合以创建极度受限的谜题。
一览
| 约束类型 | 反约束 |
| 典型给定数 | 18–24 |
| 难度评级 | ★★★☆☆ 3/5 |
| 平均解题时间 — 简单 | 5 分钟 |
| 平均解题时间 — 中等 | 13 分钟 |
| 平均解题时间 — 困难 | 26 分钟 |
| 平均解题时间 — 专家 | 48 分钟 |
如何解反连续数独
| 技巧 | 它的作用 | 级别 |
|---|---|---|
| Global Candidate Pruning | For every filled cell, remove its ±1 neighbours from all orthogonally adjacent cells immediately. | 高级 |
| Digit 5 is Most Constrained | 5 cannot be adjacent to 4 or 6. Use this to restrict placement of 5 across the entire grid. | 高级 |
| Chain Propagation | Placing a digit propagates constraints along rows and columns, often triggering a cascade of forced placements. | 高级 |
| Forbidden Pair Maps | Build a map of forbidden digit pairs for each adjacent pair of cells and use it to eliminate candidates systematically. | 高级 |
平均解题时间
简单
5 分钟
中等
13 分钟
困难
26 分钟
专家
48 分钟
常见问题
什么是反连续数独?
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.