困难 温度计数独
沿每个温度计，数字必须从灯泡端到尖端递增。温度方向约束每一次填入。
困难 温度计数独。更少的已知数、重叠的温度计——期待多步边界推理和广泛的 候选数标记 工作。
5
4
6
1
2
5
8
9
3
9
4
1
8
3
2
9
6
2
8
1
5
3
5
4
8
1
7
什么是温度计数独？
难度
★★★★☆
4/5
约束类型
线条约束
典型给定数
20–28
平均解题 (困难)
45 分钟
困难 级别的解题技巧
| 技巧 | 描述 | 级别 |
|---|---|---|
| Range Restriction from Length | A thermometer with N cells must use N strictly increasing distinct values. The bulb is at least 1 and the tip is at most 9, giving a calculable valid range for each cell. | 初级 |
| Minimum/Maximum Bounding | The bulb value is ≤ 9 − (N − 1). The tip value is ≥ N. Apply these bounds immediately to prune all thermometer candidates. | 初级 |
| Overlapping Thermometer Deduction | Two thermometers sharing a cell give tighter combined bounds than either alone. | 中级 |
| Forcing Chains via Thermometers | When a value is forced into a thermometer cell, all cells closer to the bulb must be smaller and all closer to the tip must be larger. | 高级 |
| Short vs. Long Thermometers | A 2-cell thermometer is simply a greater-than relationship. A 9-cell thermometer forces exactly 1–9 in order. | 中级 |
准备好终极测试了吗?试试 专家 温度计数独 — 数独 上最难的谜题。
在困难需要掌握的技巧
- Hidden Pairs technique — Overlapping thermometers compress candidate windows until two digits share only two line cells; hard thermo grids hide their pairs along the slow middle of long lines.
- X翼技巧 — Bulb and tip bounds eliminate so many extreme-digit candidates that X-Wings on 1, 2, 8, and 9 appear early — hunt fish on the digits the thermometers exclude.
按难度划分的平均解题时间
简单
10 分钟
中等
22 分钟
困难
45 分钟
专家
75 分钟
想要规则、策略和解题步骤的完整指南吗？
如何玩温度计数独 →
相关变体
箭头数独
Thermo and Arrow both constrain digits along drawn lines — increase swaps for summation, but the cell-by-cell bounding feels the same.
德国耳语
Another drawn-line rule: instead of strictly increasing, neighbouring line digits must differ by at least 5.
连体数独
Line cells must form a consecutive set rather than an increasing one — the same range-tracking instinct, loosened by one degree.
常见问题 — 困难 温度计数独
更多问题？请参阅完整 温度计数独指南.