反騎士數獨
4
6
3
9
5
8
5
9
1
4
6
3
6
7
1
3
9
1
4
7
6
6
4
7
2
3
7
2
2
8
6
7
3
9
4
6
3
1
如何遊玩反騎士數獨
標準數獨規則適用。附加規則：任何兩個可以通過西洋棋騎士移動（2+1格，L形）到達的儲存格不得包含相同的數字。此限制是看不見的 — 棋盤上沒有標記 — 所以在解題時請記住。
完整指南 →
相距一個 knight's move 的兩個 cell 不能包含相同的數字
什麼是 反騎士數獨？
反騎士數獨用一個國際象棋規則擴展了數獨：任何可以通過國際象棋騎士移動（2+1方格，L形）相互到達的兩個單元格不能共享相同的數字。每個單元格最多有8個潛在的騎士移動鄰居。這創建了一個豐富的約束網絡，它獨立於並擴展了標準的行/列/宮規則。
一覽
| 約束類型 | 反限制 |
| 典型給定數 | 20–26 |
| 難度評分 | ★★★☆☆ 3/5 |
| 平均解題時間 — 簡單 | 5分鐘 |
| 平均解題時間 — 中等 | 12分鐘 |
| 平均解題時間 — 困難 | 24分鐘 |
| 平均解題時間 — 專家 | 45分鐘 |
如何解 反騎士數獨
| 技巧 | 它的作用 | 等級 |
|---|---|---|
| Knight-Zone Mapping | For each cell, mark all potential knight-move destinations (up to 8 cells). None may share the same digit as the source cell. | 進階 |
| Corner and Edge Advantage | Corner cells have only 2 knight-move neighbours; edge cells have at most 4. These restricted zones are easiest to resolve first. | 進階 |
| Knight Chains | Placing a digit can eliminate it from a chain of knight-move positions that span diagonally across the grid. | 進階 |
| Graph Coloring | Model the knight-move network as a graph and two-color it to find cells that cannot share a digit. | 進階 |
平均解題時間
簡單
5分鐘
中等
12分鐘
困難
24分鐘
專家
45分鐘
常見問題
什麼是 Anti-Knight Sudoku？
Anti-Knight Sudoku is a variant where no two cells that are a chess knight's move apart may contain the same digit. A knight moves in an L-shape: two cells in one direction and one cell perpendicular. This adds a non-adjacent constraint that reaches across boxes and rows in ways standard Sudoku cannot.
How far does the anti-knight constraint reach?
A knight's move covers up to eight possible cells: two squares in any cardinal direction plus one square perpendicular. These eight cells can span across different rows, columns, and boxes — so the anti-knight constraint connects parts of the grid that standard Sudoku treats as independent.
Is Anti-Knight Sudoku harder than regular Sudoku?
Yes. The knight-move relationships are less intuitive than row/column/box constraints and require deliberate mapping. Easy puzzles are accessible once you visualise the knight's reach. Hard and expert puzzles use the constraint to create deductions that would be impossible without it.
What is the hardest part of Anti-Knight Sudoku?
Remembering that the constraint spans across boxes. It is easy to forget that placing a 5 in the top-left corner eliminates 5 from cells that are in a completely different box. Systematically checking all eight knight-reach cells after every placement is essential.
Can standard Sudoku techniques still be used?
Yes — all standard techniques apply, with the knight-move relationships treated as additional elimination links. Naked pairs and hidden singles can be found by treating any two knight-move-related cells as a pair subject to uniqueness.
How long does Anti-Knight Sudoku take to solve?
Easy puzzles take 8–18 minutes. Medium puzzles run 18–35 minutes. Hard puzzles average 35–65 minutes and expert puzzles often exceed 90 minutes. The key to faster solving is visualising the full knight-reach pattern automatically after each placement.