武士数独
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简单 · 武士 · 5个子网格0%
五个重叠的9×9网格共享角宫
什么是武士数独?
武士数独由五个相互锁定的9×9网格组成,排列成X形——一个中央网格和四个角落网格,它们共享一个3×3的重叠宫。五个子网格中的每一个都必须独立满足标准数独规则。解决一个子网格常常提供解锁另一个的线索。整个谜题跨越一个21×21的网格。
一览
| 约束类型 | 5 Overlapping Grids |
| 典型给定数 | ~30 per sub-grid |
| 难度评级 | ★★★★★ 5/5 |
| 平均解题时间 — 简单 | 45 分钟 |
| 平均解题时间 — 中等 | 90 分钟 |
| 平均解题时间 — 困难 | 150 分钟 |
| 平均解题时间 — 专家 | 240 分钟 |
如何解武士数独
| 技巧 | 它的作用 | 级别 |
|---|---|---|
| Sub-Grid Independence | Each of the five 9×9 sub-grids satisfies standard Sudoku rules independently. Solve each one using all standard techniques. | 高级 |
| Overlap Box Exploitation | The four corner boxes where sub-grids meet are shared between two grids. Any digit placed in a shared box eliminates that digit from two sub-grids at once. | 高级 |
| Cross-Grid Cascade | Completing a corner box in the central grid forces values in the corresponding corner grid's box, which may cascade further through that grid. | 高级 |
| Shared Box Forcing | When a shared box is nearly complete, use both sub-grids' row and column constraints to force the remaining digits. | 高级 |
| Global Number Counting | Across all five sub-grids, each digit 1–9 appears 5×9=45 times total. This global count can confirm placement decisions near the end. | 高级 |
平均解题时间
简单
45 分钟
中等
90 分钟
困难
150 分钟
专家
240 分钟
常见问题
什么是武士数独?
Samurai Sudoku is a variant consisting of five overlapping 9×9 Sudoku grids arranged on a 21×21 board. One grid occupies the centre, and four grids are placed at the corners with their inner 3×3 boxes overlapping the centre grid's corner boxes. All five grids must be solved simultaneously.
How do the overlapping boxes work?
Each of the four outer grids shares one 3×3 box with the centre grid. Any digit placed in a shared box satisfies the constraint for both grids simultaneously. This means information flows between grids through the shared boxes — solving one grid's corner often directly advances the centre grid.
Do all five grids have standard Sudoku rules?
Yes. Each of the five 9×9 grids individually follows all standard Sudoku rules: every row, column, and 3×3 box within that grid must contain 1–9 exactly once. The only interaction between grids is through the shared corner boxes.
Is Samurai Sudoku harder than regular Sudoku?
Samurai puzzles take significantly longer than single-grid Sudoku simply due to scale — you're solving five grids. Individual difficulty can range from easy to expert. The cross-grid interactions through shared boxes add a satisfying extra layer that single-grid Sudoku doesn't offer.
What is the best approach to Samurai Sudoku?
Work on all five grids simultaneously rather than trying to complete one before moving to another. When you get stuck on one grid, the shared boxes often provide a breakthrough from a neighbouring grid. Scan all five grids for hidden singles after every placement in any shared box.
How long does Samurai Sudoku take to solve?
Easy puzzles take 25–45 minutes. Medium puzzles run 45–90 minutes. Hard and expert puzzles can take 2–4 hours. The time is primarily driven by scale — five full grids — rather than by individual deduction difficulty.