專家溫度計數獨
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。
專家 溫度計數獨。網站上最難的溫度計謎題——每個填入都來自精確的邊界計算和邏輯推理。
2
4
3
7
2
6
1
9
4
5
1
3
1
8
5
6
3
6
9
3
8
7
9
3
2
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（專家）
75分鐘
解題技巧：專家 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 |
在 專家 需要掌握的技巧
- X-Wing 技巧 — Expert thermo endgames run on the extremes: thermometers force 8s and 9s away from tips of short lines, leaving textbook two-per-row X-Wing geometry.
- Swordfish technique — When several long thermometers parallel each other, mid-range digits get confined to the same three columns across three rows — exactly the Swordfish setup expert grids exploit.
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？
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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 — 專家 溫度計數獨
還有問題？請參閱完整 溫度計數獨指南.