專家德國低語數獨
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。
專家 德式低語數獨。整個棋盤上的奇偶強制鏈——網站上最難的耳語謎題。
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(專家)
74分鐘
解題技巧:專家 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 |
在 專家 需要掌握的技巧
- X-Wing 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.
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?
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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 — 專家 德式低語數獨
還有問題?請參閱完整 德式低語數獨指南.