專家反國王數獨
兩個相同的數字不能對角相鄰(如同西洋棋中國王的移動)。每個儲存格最多有8個受限的相鄰格。
專家 反國王數獨。每個填入都由交錯的對角線和標準邏輯強制。網站上最難的反國王謎題——無需猜測。
3
9
8
2
2
5
1
3
2
9
9
2
6
1
4
6
9
8
7
7
1
5
7
什麼是 反國王數獨?
難度
★★★☆☆
3/5
約束類型
反限制
典型給定數
22–28
平均解題時間(專家)
48分鐘
解題技巧:專家 等級
| 技巧 | 描述 | 等級 |
|---|---|---|
| Diagonal Exclusion | The king constraint extends the exclusion zone to all 8 neighbours including diagonals. Apply diagonal exclusions before standard row/col/box logic. | 初學者 |
| Corner Restriction | Corner cells (e.g., r1c1) only have 3 king-move neighbours. Start with corners and edges to build initial placements. | 中級 |
| King-Chain Elimination | When a digit is placed, eliminate it simultaneously from all 8 surrounding cells. | 中級 |
| Parity via King's Move | In Anti-King, consecutive digits often become mutually king-move incompatible — trace valid placement paths using this property. | 進階 |
在 專家 需要掌握的技巧
- X-Wing 技巧 — At expert level, combine the fish with king logic: an X-Wing corner placement also clears the digit from eight surrounding cells, often collapsing a whole region.
- Swordfish technique — Expert Anti-King puzzles thin candidates with diagonal pressure until three-row Swordfish patterns become the only path — look for them on digits clustered near the grid centre.
依難度平均解題時間
簡單
5分鐘
中等
13分鐘
困難
26分鐘
專家
48分鐘
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相關變體
反騎士數獨
The companion chess constraint — the forbidden repeat jumps a knight's move instead of one diagonal step.
反連續數獨
Forbids a value relationship instead of a position: neighbours may touch, but their digits can't be consecutive.
非連續數獨
Another global anti-rule solved with the same reflex — every placement immediately bans candidates around it.
常見問題 — 專家 反國王數獨
還有問題?請參閱完整 反國王數獨指南.