困難德國低語數獨
綠色線上的相鄰數字必須相差至少5。這種高低交替的模式影響整個解題過程。
困難 德式低語數獨。密集的線網絡需要奇偶推理鏈和高級數獨技巧協同工作。
7
2
8
3
5
4
1
9
1
8
2
4
5
3
6
9
2
5
9
7
5
7
8
5
2
6
7
什麼是 德式低語？
難度
★★★★☆
4/5
約束類型
線條約束
典型給定數
18–26
平均解題時間（困難）
44分鐘
解題技巧：困難 等級
| 技巧 | 描述 | 等級 |
|---|---|---|
| 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). | 初學者 |
| 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. | 初學者 |
| 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. | 中級 |
| 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. | 進階 |
準備好終極測試了嗎？試試 專家 德式低語 — 數獨 上最難的謎題。
在 困難 需要掌握的技巧
- Hidden Pairs technique — The difference-of-5 rule prunes high cells beside low extremes hard (a 4 forces its neighbour to 9) — recount boxes the line crosses and pairs surface among the high digits.
- X-Wing 技巧 — Whisper lines forbid 5 entirely, so 5's candidates collapse onto off-line cells — X-Wings on 5 are unusually compact and are the signature hard-mode move in German Whispers.
依難度平均解題時間
簡單
10分鐘
中等
22分鐘
困難
44分鐘
專家
74分鐘
想要規則、策略和解題步驟的完整演練嗎？
如何遊玩 德式低語 →
相關變體
Renban數獨
Both are coloured-line constraints — whispers force big jumps between neighbours while renban forces a tight consecutive set.
區間數獨
Another line variant about value ranges: every line digit must fall strictly between the two circled endpoints.
溫度計數獨
If you like how whisper lines polarise digits into highs and lows, thermometers impose a full ordering along the line.
常見問題 — 困難 德式低語數獨
還有問題？請參閱完整 德式低語數獨指南.