困難箭頭數獨
每個箭頭上的數字總和必須等於圓圈中的數字。箭頭與經典數獨規則結合，純粹邏輯。
困難 箭頭數獨。長箭頭有許多可能的組合，需要完整枚舉並仔細與標準數獨限制交叉參考。
6
5
9
2
3
8
6
7
8
3
5
6
8
2
2
9
5
6
7
2
9
1
5
9
6
1
5
什麼是 箭頭數獨？
難度
★★★★☆
4/5
約束類型
線條約束
典型給定數
20–26
平均解題時間（困難）
50分鐘
解題技巧：困難 等級
| 技巧 | 描述 | 等級 |
|---|---|---|
| Arrow Sum Bounding | The circle digit equals the sum of all arrow shaft cells. A 3-cell arrow with circle 5 means the three shaft cells average under 2 — severely constraining options. | 初學者 |
| Max/Min Arrow Analysis | The maximum sum of N cells is 9+8+7+…; the minimum is 1+2+3+…. If the circle digit falls outside these bounds, a constraint error exists. | 中級 |
| Bifurcation on Short Arrows | For 2-cell arrows with a small circle (e.g., 3), only (1,2) or (2,1) works — enumerate cases to find forced placements quickly. | 初學者 |
| Arrow–Region Interaction | Arrow cells sharing a box or row with the circle create indirect constraints — combine the sum equation with standard Sudoku uniqueness. | 中級 |
| Repeating Digits on Arrows | Arrow shaft cells can repeat digits (unlike Killer cages). Factor this in when enumerating possible sums. | 進階 |
準備好終極測試了嗎？試試 專家 箭頭數獨 — 數獨 上最難的謎題。
在 困難 需要掌握的技巧
- Hidden Pairs technique — Sum arithmetic strips middle candidates from shaft cells until two digits hide in two cells of a box — recount boxes crossed by long arrows after every sum deduction.
- X-Wing 技巧 — Arrows pin 9s into circles and out of shafts, so the digit 9's candidate map is the thinnest on the grid — that's where hard arrow X-Wings live.
依難度平均解題時間
簡單
12分鐘
中等
25分鐘
困難
50分鐘
專家
80分鐘
想要規則、策略和解題步驟的完整演練嗎？
如何遊玩 箭頭數獨 →
相關變體
溫度計數獨
Arrows demand sums along a line; thermometers demand growth along one — both reward tracking minimums and maximums cell by cell.
殺手數獨
The cage-based cousin of arrow arithmetic, adding a no-repeat rule and the powerful 45 trick to your sum toolkit.
Renban數獨
Trades arithmetic for set logic on the same drawn-line canvas: line digits must form a consecutive run.
常見問題 — 困難 箭頭數獨
還有問題？請參閱完整 箭頭數獨指南.