反国王数独
8
2
5
1
7
4
7
4
3
5
9
1
4
5
9
7
8
2
1
6
9
6
5
4
2
7
2
9
3
5
3
6
6
3
9
5
4
1
国王移动距离的两个单元格不能包含相同的数字
什么是反国王数独？
反国王数独添加了一个受国际象棋启发的约束：在单个国王移动中可达的单元格（正交或对角相邻）不能共享相同的数字。这将非重复规则扩展到行、列和宫之外，包括对角邻居，显著收紧整个网格的约束空间。
一览
| 约束类型 | 反约束 |
| 典型给定数 | 22–28 |
| 难度评级 | ★★★☆☆ 3/5 |
| 平均解题时间 — 简单 | 5 分钟 |
| 平均解题时间 — 中等 | 13 分钟 |
| 平均解题时间 — 困难 | 26 分钟 |
| 平均解题时间 — 专家 | 48 分钟 |
如何解反国王数独
| 技巧 | 它的作用 | 级别 |
|---|---|---|
| Diagonal Exclusion | The king constraint extends the exclusion zone to all 8 neighbours including diagonals. Apply diagonal exclusions before standard row/col/box logic. | 高级 |
| Corner Restriction | Corner cells (e.g., r1c1) only have 3 king-move neighbours. Start with corners and edges to build initial placements. | 高级 |
| King-Chain Elimination | When a digit is placed, eliminate it simultaneously from all 8 surrounding cells. | 高级 |
| Parity via King's Move | In Anti-King, consecutive digits often become mutually king-move incompatible — trace valid placement paths using this property. | 高级 |
平均解题时间
简单
5 分钟
中等
13 分钟
困难
26 分钟
专家
48 分钟
常见问题
什么是反国王数独？
Anti-King Sudoku is a variant where no two diagonally adjacent cells may contain the same digit. Combined with standard Sudoku rules (which already forbid matching digits in the same row, column, and box), this means a digit cannot appear in any of the eight cells surrounding a given cell.
Why is it called Anti-King?
The name comes from chess: a king can move to any of the eight adjacent squares (horizontally, vertically, or diagonally). The Anti-King constraint says no digit may be repeated within a king's move of any placed digit — it's the opposite of the king's reach being unrestricted.
How many cells does the anti-king constraint affect?
Each interior cell has eight neighbours (up to eight for corner and edge cells). All eight must hold different digits from the placed cell, on top of the standard uniqueness rules. Cells in the top-left to bottom-right diagonal neighbourhood are constrained in ways that standard Sudoku doesn't cover.
Is Anti-King Sudoku harder than regular Sudoku?
Easy Anti-King puzzles resolve faster than classic Sudoku because the extra diagonal constraint eliminates more candidates. Hard and expert puzzles compensate with fewer givens, and the diagonal interactions create subtle deduction chains that can be difficult to spot.
What is the best first move in Anti-King Sudoku?
Focus on corner cells first — they have the fewest anti-king neighbours (only 3 for a true corner). Then look at cells near already-placed digits and check how many of the eight neighbours already have that digit. Dense clustering of given digits often creates immediate anti-king placements.
How long does Anti-King 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 diagonal constraint makes early progress fast but creates subtle interactions in the middle and end game.