克隆數獨
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
兩個區域必須有相同的數字
如何遊玩克隆數獨
標準數獨規則適用。兩個突出顯示的區域(克隆 A 為琥珀色,克隆 B 為紫色)必須包含相同的數字排列 — 對應的單元格必須持有相同的數字。在一個克隆中放置數字會自動限制另一個克隆中的相同位置。
完整指南 →
標記的regions必須包含相同的數字排列
什麼是 克隆數獨?
克隆數獨在網格上標記區域對(克隆)。每對克隆區域必須包含完全相同的數字排列——如果一個克隆在其左上角單元格有3,那麼另一個克隆在其對應的單元格中也必須有3。克隆約束創建了基於對稱的強大推理,可以一次解決整個區域。
一覽
| 約束類型 | Clone Regions |
| 典型給定數字 | 24–32 |
| 難度評級 | ★★★★☆ 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 克隆數獨
| 技巧 | 它的作用 | 等級 |
|---|---|---|
| Clone Pair Deduction | Any digit placed in one clone region immediately forces the same digit in the corresponding cell of the other clone region. | 進階 |
| Constraint Propagation | A clone placement propagates through standard row, column, and box constraints in both regions simultaneously. | 進階 |
| Clone-Box Interaction | If both clone regions share boxes with heavily constrained cells, the clone constraint rapidly resolves entire boxes. | 進階 |
| 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. | 進階 |
| Multi-Clone Logic | With two clone regions, solving either provides equal information about both. Alternate deduction paths between clones for maximum efficiency. | 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
乜嘢係Clone Sudoku?
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.