非連續數獨
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
沒有兩個正交相鄰的 cell 可以包含連續的數字
什麼是 非連續數獨？
Non-Consecutive Sudoku 施加了一個全局約束：沒有兩個共享邊的單元格（正交相鄰）可以包含連續數字。因此，如果一個單元格包含 5，其所有鄰居都必須避開 4 和 6。這單一規則大幅限制了候選數的放置，並且可以在仍產生唯一可解謎題的同時減少標準提示數。
一覽
| 約束類型 | 反限制 |
| 典型給定數 | 18–24 |
| 難度評分 | ★★★☆☆ 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 非連續數獨
| 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
什麼是 Non-Consecutive Sudoku？
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.
非連續數獨比常規數獨更難嗎？
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.