克隆数独
3
9
6
4
9
8
5
4
6
3
7
2
1
9
3
7
8
9
1
6
6
9
2
1
5
2
1
9
7
4
8
9
7
1
2
5
6
3
克隆A
克隆B
两个区域必须具有相同的数字
如何玩克隆数独
标准数独规则适用。两个高亮区域(克隆A琥珀色,克隆B紫色)必须包含相同的数字排列——对应的单元格必须持有相同的数字。在一个克隆中放置一个数字会自动约束另一个克隆中的相同位置。
完整指南 →
标记的区域必须包含相同的数字排列
什么是克隆数独?
Clone Sudoku在网格上标记区域对(克隆)。每对克隆区域必须包含完全相同的数字排列——如果一个克隆在其左上角单元格中有3,那么另一个克隆在其对应的单元格中也必须有3。克隆约束创建了强大的基于对称性的推理,可以一次解决整个区域。
一览
| 约束类型 | Clone Regions |
| 典型给定数 | 24–32 |
| 难度评级 | ★★★★☆ 4/5 |
| 平均解题时间 — 简单 | 10 分钟 |
| 平均解题时间 — 中等 | 22 分钟 |
| 平均解题时间 — 困难 | 42 分钟 |
| 平均解题时间 — 专家 | 72 分钟 |
如何解克隆数独
| 技巧 | 它的作用 | 级别 |
|---|---|---|
| Clone Pair Deduction | Any digit placed in one clone region immediately forces the same digit in the corresponding cell of the other clone region. | 高级 |
| Constraint Propagation | A clone placement propagates through standard row, column, and box constraints in both regions simultaneously. | 高级 |
| Clone-Box Interaction | If both clone regions share boxes with heavily constrained cells, the clone constraint rapidly resolves entire boxes. | 高级 |
| Mirror Elimination | When a digit is eliminated from a position in one clone region by standard logic, it can be eliminated from the same position in the other clone region. | 高级 |
| Multi-Clone Logic | With two clone regions, solving either provides equal information about both. Alternate deduction paths between clones for maximum efficiency. | 高级 |
平均解题时间
简单
10 分钟
中等
22 分钟
困难
42 分钟
专家
72 分钟
常见问题
什么是克隆数独?
Clone Sudoku is a variant where two highlighted regions of the same shape appear on the grid. The two regions are 'clones' — they must contain exactly the same digit arrangement. Every cell in one region holds the same digit as the corresponding cell in the other region. Standard Sudoku rules apply.
How do the clone regions correspond?
The two clone regions are the same shape and size. Each cell in one region is paired with the corresponding positionally-equivalent cell in the other region. Placing a digit in any cell of one clone immediately fixes that digit in the matching cell of the other clone.
Can clone regions overlap with the same rows or columns?
Yes. The puzzle constructor ensures that the clone constraint is always consistent with Sudoku rules — the two regions are positioned so that corresponding cells are in different rows, columns, and boxes, allowing the same digit to appear in both without violating uniqueness.
Is Clone Sudoku harder than regular Sudoku?
The clone constraint effectively halves the number of independent cells to solve — every deduction in one region automatically applies to the other. Easy Clone puzzles resolve noticeably faster than classic Sudoku. Hard and expert puzzles use the clones to create complex bi-directional constraint chains.
What is the best strategy for Clone Sudoku?
Treat the two clone regions as a single constraint. Whenever you eliminate a candidate from a cell in one region, immediately eliminate it from the corresponding cell in the other. Focus on the rows, columns, and boxes that interact with both regions simultaneously.
How long does Clone Sudoku take to solve?
Easy puzzles take 6–15 minutes. Medium puzzles run 15–30 minutes. Hard puzzles average 30–60 minutes and expert puzzles can take 60–90 minutes. The bilateral nature of the clone constraint makes mid-game breakthroughs especially satisfying.