德式低語數獨
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
綠色線上的相鄰數字必須至少相差5
什麼是 德式低語？
German Whispers（也稱為 Whisper Sudoku）在網格上繪製綠色線條。任何在線上相鄰的兩個數字必須相差至少 5。由於最小差值為 5 且數字範圍為 1–9，這會產生強烈的交替高低模式：如果一個格子是低（1–4），下一個必須是高（6–9），反之亦然。線條約束在多數位置消除了 5 作為有效數字。
一覽
| 約束類型 | 線條約束 |
| 典型給定數 | 18–26 |
| 難度評分 | ★★★★☆ 4/5 |
| 平均解題時間 — 簡單 | 10分鐘 |
| 平均解題時間 — 中等 | 22分鐘 |
| 平均解題時間 — 困難 | 44分鐘 |
| 平均解題時間 — 專家 | 74分鐘 |
如何解 德式低語
| 技巧 | 它的作用 | 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). | 進階 |
| 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. | 進階 |
| 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. | 進階 |
| 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 |
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
常見問題
什麼是 German Whispers Sudoku？
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.