專家 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。
專家 箭頭數獨。需要多箭頭強迫鏈和奇偶推理。這是網站上最難的箭頭謎題——每個數字都可以邏輯證明。
3
8
2
3
6
4
4
6
3
7
8
1
4
6
4
5
5
1
5
9
7
5
6
9
2
什麼是 箭頭數獨?
難度
★★★★☆
4/5
約束類型
線條約束
典型給定數字
20–26
平均解題(專家)
80 分鐘
解謎技巧(專家 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 |
在 專家 需要掌握的技巧
- X翼技巧 — Expert arrow grids interlock multiple sums so no single arrow resolves — fish on the high digits that all circles compete for, then feed eliminations back into the sums.
- Swordfish technique — When three arrows cross the same three columns, their shared low digits form Swordfish geometry — the intended break-in for many expert arrow endgames.
按難度劃分的平均解題時間
簡單
12 分鐘
中等
25 分鐘
困難
50 分鐘
專家
80 分鐘
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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 — 專家 箭頭數獨
更多問題?請參閱完整 箭頭數獨指南.