困難連番數獨
每條紫色線上的數字形成一組連續數字，順序不限。線的長度告訴你範圍。
困難 Renban數獨。更長的線條，更多可能的序列——預期系統性枚舉和多步驟刪除。
3
9
2
9
4
5
5
8
1
5
6
7
1
9
3
6
4
5
2
3
9
6
4
9
6
4
8
什麼是 Renban數獨？
難度
★★★★☆
4/5
約束類型
線條約束
典型給定數
20–28
平均解題時間（困難）
42分鐘
解題技巧：困難 等級
| 技巧 | 描述 | 等級 |
|---|---|---|
| Length-Based Range | A Renban line of length L must contain L consecutive integers. The starting value is between 1 and 10−L, giving 10−L possible ranges. | 初學者 |
| Shared Cell Intersection | If two Renban lines share a cell, that cell's value must fit both lines' consecutive ranges. Intersect the ranges to find valid values. | 中級 |
| Single-Range Reduction | When a Renban line's valid range reduces to a single starting value, all cell values are fully determined (in some order). | 中級 |
| Renban–Box Interaction | Digits on a Renban line within one box restrict the box's remaining cells. Use box uniqueness to narrow the line's range. | 進階 |
準備好終極測試了嗎？試試 專家 Renban數獨 — 數獨 上最難的謎題。
在 困難 需要掌握的技巧
- Hidden Pairs technique — Where two renban lines cross, the shared cell must fit both runs — the intersection maths strips candidates until pairs hide in the cells flanking the crossing.
- X-Wing 技巧 — Runs exclude 1 and 9 from most mid-grid lines, concentrating the extremes in off-line cells — hard renban X-Wings on 1 and 9 are the standard consequence.
依難度平均解題時間
簡單
10分鐘
中等
22分鐘
困難
42分鐘
專家
72分鐘
想要規則、策略和解題步驟的完整演練嗎？
如何遊玩 Renban數獨 →
相關變體
德式低語
The mirror image of renban logic: lines that forbid close digits instead of requiring a consecutive run.
回文數獨
Another line whose meaning is about the set of digits on it — here the line must read the same in both directions.
區間數獨
Swaps the consecutive-run rule for a bounded-range rule anchored by two endpoint circles — kindred range reasoning.
常見問題 — 困難 連番數獨
還有問題？請參閱完整 Renban數獨指南.