德国耳语数独
4
9
5
3
2
6
7
2
8
6
1
5
3
8
3
5
6
3
1
2
8
1
8
9
3
5
9
4
6
2
7
4
3
9
8
7
9
2
绿色线上的相邻数字必须至少相差5
什么是德国耳语？
德国低语（也称为低语数独）在网格上绘制绿色线条。线上相邻的任何两个数字必须至少相差5。由于最小差值为5且数字范围为1–9，这创建了强烈的高低交替模式：如果一个单元格是低（1–4），下一个必须是高（6–9），反之亦然。线条约束排除了5在大多数位置作为有效数字。
一览
| 约束类型 | 线条约束 |
| 典型给定数 | 18–26 |
| 难度评级 | ★★★★☆ 4/5 |
| 平均解题时间 — 简单 | 10 分钟 |
| 平均解题时间 — 中等 | 22 分钟 |
| 平均解题时间 — 困难 | 44 分钟 |
| 平均解题时间 — 专家 | 74 分钟 |
如何解德国耳语
| 技巧 | 它的作用 | 级别 |
|---|---|---|
| High-Low Alternation | Adjacent cells on the line must differ by ≥ 5. This forces a strict alternating high-low pattern: low (1–4) alternates with high (6–9). | 高级 |
| Digit 5 Exclusion | 5 cannot appear on any German Whispers line — no digit within 1–9 differs from 5 by at least 5. Eliminate 5 from all line cells immediately. | 高级 |
| Low-Set {1,2,3,4} / High-Set {6,7,8,9} | Every whisper cell belongs to one of these two sets. Apply row/column/box constraints within each set to narrow candidates. | 高级 |
| Endpoint Parity | The parity (high or low) of the line is not fixed — it's determined by surrounding constraints. Resolving one endpoint propagates the alternation inward. | 高级 |
平均解题时间
简单
10 分钟
中等
22 分钟
困难
44 分钟
专家
74 分钟
常见问题
什么是德语低语数独？
German Whispers Sudoku is a variant where green lines are drawn across the grid. Any two cells adjacent along a green line must contain digits that differ by at least 5. Standard Sudoku rules apply — every row, column, and 3×3 box must contain 1–9 exactly once.
Why is it called German Whispers?
The name comes from the puzzle community and refers to a variant popularised in German puzzle circles, with 'whispers' evoking the idea of information passing along a line with a significant minimum separation at each step.
What digits can sit next to each other on a whisper line?
Only pairs with a difference of 5 or more: 1&6, 1&7, 1&8, 1&9, 2&7, 2&8, 2&9, 3&8, 3&9, 4&9. This means whisper cells must alternate between the low group (1–4) and high group (6–9). Digit 5 cannot appear on any whisper line.
What is the best first move in German Whispers Sudoku?
Identify the longest whisper lines and mark each cell as low (1–4) or high (6–9) based on alternation. Any whisper cell in a row, column, or box where the low or high group is almost fully placed gives you a direct elimination or placement.
Is German Whispers Sudoku hard to learn?
The constraint is simple to understand but its consequences take practice to apply automatically. The forced high-low alternation is the key insight — once you internalise it, you can immediately split each line cell into one of two groups and halve your candidate list from the start.
How long does German Whispers Sudoku take to solve?
Easy puzzles take 8–18 minutes. Medium puzzles run 18–35 minutes. Hard and expert puzzles can take 45 minutes to well over an hour. Longer whisper lines spanning the full grid are the most time-consuming because they interact with almost every row, column, and box simultaneously.