专家 箭头数独
沿每个箭头的数字之和必须等于圆圈中的数字。箭头和经典数独规则结合,构成纯逻辑。
专家 箭头数独。需要多箭头强制链和奇偶推理。这是网站上最难的箭头谜题——每个数字都可以逻辑证明。
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
什么是箭头数独?
难度
★★★★☆
4/5
约束类型
线条约束
典型给定数
20–26
平均解题 (专家)
80 分钟
专家 级别的解题技巧
| 技巧 | 描述 | 级别 |
|---|---|---|
| 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. | 初级 |
| 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. | 中级 |
| 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. | 初级 |
| Arrow–Region Interaction | Arrow cells sharing a box or row with the circle create indirect constraints — combine the sum equation with standard Sudoku uniqueness. | 中级 |
| Repeating Digits on Arrows | Arrow shaft cells can repeat digits (unlike Killer cages). Factor this in when enumerating possible sums. | 高级 |
在专家需要掌握的技巧
- 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.
按难度划分的平均解题时间
简单
12 分钟
中等
25 分钟
困难
50 分钟
专家
80 分钟
想要规则、策略和解题步骤的完整指南吗?
如何玩箭头数独 →
相关变体
温度计数独
Arrows demand sums along a line; thermometers demand growth along one — both reward tracking minimums and maximums cell by cell.
杀手数独
The cage-based cousin of arrow arithmetic, adding a no-repeat rule and the powerful 45 trick to your sum toolkit.
连体数独
Trades arithmetic for set logic on the same drawn-line canvas: line digits must form a consecutive run.
常见问题 — 专家 箭头数独
更多问题?请参阅完整 箭头数独指南.