专家 德国低语数独
绿色线上的相邻数字之差至少为5。由此强制的高低交替塑造了整个解题过程。
专家 德国耳语数独。整个盘面的奇偶强制链——这是网站上最难的低语谜题。
6
4
9
5
3
1
3
6
5
8
2
7
5
3
5
4
6
4
3
1
8
1
6
9
7
1
什么是德国耳语?
难度
★★★★☆
4/5
约束类型
线条约束
典型给定数
18–26
平均解题 (专家)
74 分钟
专家 级别的解题技巧
| 技巧 | 描述 | 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). | 初级 |
| 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. | 初级 |
| 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. | 中级 |
| 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 |
在专家需要掌握的技巧
- X翼技巧 — Expert whisper grids thread lines through nearly every box; once alternation is mapped, fish on 4 and 6 — the digits with the single whisper partner (9 and 1 respectively).
- Swordfish technique — Long lines push lows and highs into repeating column patterns across rows; a Swordfish on a low digit across three line-heavy rows typically breaks the expert endgame.
按难度划分的平均解题时间
简单
10 分钟
中等
22 分钟
困难
44 分钟
专家
74 分钟
想要规则、策略和解题步骤的完整指南吗?
如何玩德国耳语 →
相关变体
连体数独
Both are coloured-line constraints — whispers force big jumps between neighbours while renban forces a tight consecutive set.
线间数独
Another line variant about value ranges: every line digit must fall strictly between the two circled endpoints.
温度计数独
If you like how whisper lines polarise digits into highs and lows, thermometers impose a full ordering along the line.
常见问题 — 专家 德语低语数独
更多问题?请参阅完整 德国耳语数独指南.