对角线数独
1
8
9
6
5
9
2
3
1
8
3
4
9
2
9
3
8
1
7
7
1
3
6
9
4
7
8
9
2
3
6
3
5
8
2
2
8
6
如何玩对角线数独
标准数独规则适用：在每行、每列和3×3宫中放置1–9。附加规则：两个高亮对角线（↘和↙）也必须恰好包含每个数字一次。中心单元格位于两条对角线上，使其成为棋盘上约束最多的单元格。
完整指南 →
两条主对角线也必须包含1–9
什么是对角线数独？
在对角线数独中，标准的9×9规则适用——但有一个强大的额外约束：两条主对角线（左上到右下，右上到左下）必须各自包含数字1到9各一次。这个额外约束通常使谜题更容易解决，因为对角线充当了两个额外的排除单元。
一览
| 约束类型 | 额外区域 |
| 典型给定数 | 22–28 |
| 难度评级 | ★★☆☆☆ 2/5 |
| 平均解题时间 — 简单 | 4 分钟 |
| 平均解题时间 — 中等 | 10 分钟 |
| 平均解题时间 — 困难 | 20 分钟 |
| 平均解题时间 — 专家 | 40 分钟 |
如何解对角线数独
| 技巧 | 它的作用 | 级别 |
|---|---|---|
| Diagonal as a Unit | Treat each diagonal exactly like a row or column — every digit 1–9 appears exactly once. Standard scanning and counting apply. | 高级 |
| Diagonal–Box Interaction | When a digit on a diagonal is confined to one box segment, eliminate it from the rest of that box. | 高级 |
| Diagonal Naked Pairs | If two cells on a diagonal share the same two candidates, eliminate those values from all other diagonal cells. | 高级 |
| Three-Unit Intersection | A cell on the main diagonal also belongs to a row, column, and box — four constraint units simultaneously — maximising elimination power. | 高级 |
平均解题时间
简单
4 分钟
中等
10 分钟
困难
20 分钟
专家
40 分钟
常见问题
什么是对角线数独？
Diagonal Sudoku adds two extra constraints on top of standard Sudoku: both main diagonals of the 9×9 grid must each contain the digits 1–9 exactly once. This means every cell on either diagonal belongs to four uniqueness groups simultaneously: its row, column, box, and diagonal.
Which cells are on the diagonals?
The main diagonals run from the top-left corner to the bottom-right corner, and from the top-right corner to the bottom-left corner. Together they cover 17 cells (the centre cell is on both). Any cell at position (r, c) is on a diagonal if r equals c or if r + c equals 10 (using 1-based numbering).
How does the diagonal constraint help solving?
Diagonal cells carry four constraints instead of the usual three, making them the most restricted cells on the board. Whenever you place a digit anywhere on a diagonal, it eliminates that digit from the entire row, column, box, and the diagonal simultaneously — often triggering a cascade of placements.
Is Diagonal Sudoku harder than regular Sudoku?
At easy difficulty, Diagonal Sudoku is actually easier than equivalent classic Sudoku because the extra constraints eliminate more candidates immediately. At hard and expert levels, the diagonal interactions create subtler deductions that experienced players find more challenging to spot.
Can I solve Diagonal Sudoku using standard techniques?
Yes — all standard Sudoku techniques (naked pairs, hidden singles, pointing pairs, X-Wings, etc.) apply. You simply treat each diagonal as an additional house. The most important habit is scanning both diagonals after every placement, the same way you scan rows, columns, and boxes.
How long does Diagonal Sudoku take to solve?
Easy puzzles take 5–12 minutes — often faster than equivalent classic puzzles because of the extra constraints. Medium puzzles run 12–25 minutes. Hard and expert puzzles can take 30–70 minutes depending on how heavily the diagonal interactions need to be exploited.