困難溫度計數獨
每個溫度計上的數字必須從燈泡端到尖端遞增。溫度方向約束每個放置。
困難 溫度計數獨。較少的給定數字、重疊的溫度計——預期多步驟邊界推導和廣泛的 筆記 工作。
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5
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9
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8
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什麼是 溫度計數獨？
難度
★★★★☆
4/5
約束類型
線條約束
典型給定數
20–28
平均解題時間（困難）
45分鐘
解題技巧：困難 等級
| 技巧 | 描述 | 等級 |
|---|---|---|
| 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. | 初學者 |
| Minimum/Maximum Bounding | The bulb value is ≤ 9 − (N − 1). The tip value is ≥ N. Apply these bounds immediately to prune all thermometer candidates. | 初學者 |
| Overlapping Thermometer Deduction | Two thermometers sharing a cell give tighter combined bounds than either alone. | 中級 |
| 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. | 進階 |
| Short vs. Long Thermometers | A 2-cell thermometer is simply a greater-than relationship. A 9-cell thermometer forces exactly 1–9 in order. | 中級 |
準備好終極測試了嗎？試試 專家 溫度計數獨 — 數獨 上最難的謎題。
在 困難 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-Wing 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.
依難度平均解題時間
簡單
10分鐘
中等
22分鐘
困難
45分鐘
專家
75分鐘
想要規則、策略和解題步驟的完整演練嗎？
如何遊玩 溫度計數獨 →
相關變體
箭頭數獨
Thermo and Arrow both constrain digits along drawn lines — increase swaps for summation, but the cell-by-cell bounding feels the same.
德式低語
Another drawn-line rule: instead of strictly increasing, neighbouring line digits must differ by at least 5.
Renban數獨
Line cells must form a consecutive set rather than an increasing one — the same range-tracking instinct, loosened by one degree.
常見問題 — 困難 溫度計數獨
還有問題？請參閱完整 溫度計數獨指南.