困难 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。
困难 箭头数独。长箭头有许多可能的组合，需要完全枚举并仔细与标准数独约束交叉引用。
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 (困难)
50 分钟
困难 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 |
准备好终极测试了吗?试试 专家 箭头数独 — 数独 上最难的谜题。
在困难需要掌握的技巧
- 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翼技巧 — 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.
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 — 困难 箭头数独
更多问题？请参阅完整 箭头数独指南.