Renban數獨
4
7
9
8
1
6
3
8
1
5
3
4
7
7
9
8
1
2
6
9
7
2
9
4
1
6
8
5
5
9
9
8
2
3
1
6
4
1
紫色線條必須以任意順序包含連續數字
什麼是 Renban數獨？
Renban Sudoku 在網格上繪製紫色線條。任何紫色線條上的數字必須形成一組連續整數（例如3,4,5或7,8），儘管它們可以沿線條以任何順序出現。線條的長度告訴你恰好涉及多少個連續數字。這創造了強大的範圍限制：一條5格 Renban 線條只能涵蓋可能範圍1–9中的5個連續數值。
一覽
| 約束類型 | 線條約束 |
| 典型給定數 | 20–28 |
| 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 | 42分鐘 |
| 平均解題時間 — 專家 | 72分鐘 |
如何解 Renban數獨
| 技巧 | 它的作用 | 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. | 進階 |
| 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. | 進階 |
| 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). | 進階 |
| 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 |
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
常見問題
什麼是 Renban Sudoku？
Renban Sudoku is a variant where purple lines are drawn across the grid. Every purple line must contain a set of consecutive digits (in any order along the line). For example, a 4-cell renban line might hold 3,4,5,6 or 6,4,5,3 — any arrangement, as long as the set forms a run of consecutive numbers. Standard Sudoku rules apply.
Do renban digits have to be in order?
No. The digits on a renban line must form a set of consecutive numbers, but they can appear in any order along the line. A 3-cell renban line holds three consecutive digits arranged in any sequence — it's the set that matters, not the sequence.
數字能否在一條 renban line 上重複？
No. Because the digits must form a consecutive set and each digit in a set is unique, no digit can repeat on a renban line. This is an implicit constraint: a 4-cell renban line always contains exactly four distinct consecutive digits.
How do I start solving Renban Sudoku?
Start with the shortest lines and look for lines that share cells with highly constrained rows, columns, or boxes. A 2-cell renban line can only hold adjacent digit pairs (1&2, 2&3, ..., 8&9). Identifying which consecutive set fits each line, then cross-referencing with standard Sudoku constraints, is the core technique.
Is Renban Sudoku harder than regular Sudoku?
Easy and medium renban puzzles are comparable in difficulty to classic Sudoku at the same level. Hard and expert puzzles become significantly harder because you must track which consecutive sets are possible for multiple overlapping lines simultaneously, which requires combinatorial thinking on top of standard Sudoku logic.
How long does Renban Sudoku take to solve?
Easy puzzles take 8–18 minutes. Medium puzzles run 18–35 minutes. Hard puzzles average 35–60 minutes and expert puzzles can take over an hour. Solve time is most affected by the number and length of renban lines — more lines mean more interacting constraints.