非连续数独
4
8
5
2
7
6
7
1
9
8
2
6
8
7
2
6
6
7
2
1
8
5
4
9
7
1
5
8
7
4
9
2
8
7
7
6
4
2
没有两个正交相邻的单元格可以包含连续的数字
什么是非连续数独？
非连续数独施加了一个全局约束：没有两个共享边（正交相邻）的单元格可以包含连续的数字。所以如果一个单元格包含5，它的所有邻居必须避免4和6。这一条规则极大地限制了候选数的放置，并且可以在仍然产生唯一可解谜题的同时减少标准已知数的数量。
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 |
如何解非连续数独
| 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
什么是非连续数独？
Non-Consecutive Sudoku is a variant where no two horizontally or vertically adjacent cells may contain consecutive digits. There are no markers on the grid — the non-consecutive rule applies globally to every pair of neighbours. Standard Sudoku rules also apply.
How does the global non-consecutive rule constrain the grid?
Every pair of adjacent cells cannot differ by exactly 1. This means you cannot place a 4 next to a 3 or a 5. For every digit you place, you must eliminate that digit ±1 from all orthogonal neighbours. This propagates eliminations across the entire board immediately after every placement.
Which digits are most affected by the non-consecutive rule?
Digits 1 and 9 can only be invalid next to 2 and 8 respectively — so they are least affected. Digit 5 cannot be adjacent to either 4 or 6, which is a moderate restriction. Digits 4, 5, and 6 are most affected because they are adjacent to two common digit pairs simultaneously.
非连续数独比常规数独更难吗？
Yes, typically. The global constraint eliminates many more candidates than standard rules alone. Easy puzzles are accessible and resolve quickly. Hard and expert puzzles compensate with fewer given digits, making the non-consecutive constraint the primary source of all deductions.
What is the best first strategy for Non-Consecutive Sudoku?
After placing each digit, immediately mark all orthogonal neighbours as unable to hold ±1. Scan rows and columns for digits that can now only go in one cell due to these combined eliminations. Digit 5 is particularly useful as a placement anchor — wherever 5 is placed, both 4 and 6 are eliminated from all four neighbours.
How long does Non-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. Non-Consecutive Sudoku rewards players who apply the constraint globally and systematically after every move.