溫度計數獨
2
6
9
4
5
4
1
2
5
6
7
8
7
9
8
6
2
7
8
5
3
6
2
1
7
3
9
1
8
8
9
2
1
3
4
1
5
6
如何玩溫度計數獨
標準數獨規則適用。附加規則：沿每條灰色溫度計的數字必須從 bulb（圓形端）到尖端嚴格增加。一個3格溫度計可以是2,5,8或1,4,9，但不能是3,3,7或5,4,8。
完整指南 →
數字必須沿溫度計形狀嚴格增加
什麼是 溫度計數獨？
Thermo Sudoku在網格上疊加溫度計形狀。每個溫度計在一端有一個 bulb（圓形），另一端有一個 tip。沿任何溫度計的數字必須從 bulb 到 tip 嚴格增加。結合標準數獨約束，這創造了強大的推導鏈——知道 bulb 至少為1且 tip 至多為9，你可以根據位置計算溫度計上每個單元格的有效值範圍。
一覽
| 約束類型 | 線條約束 |
| 典型給定數 | 20–28 |
| 難度評分 | ★★★★☆ 4/5 |
| 平均解題時間 — 簡單 | 10分鐘 |
| 平均解題時間 — 中等 | 22分鐘 |
| 平均解題時間 — 困難 | 45分鐘 |
| 平均解題時間 — 專家 | 75分鐘 |
如何解 溫度計數獨
| 技巧 | 它的作用 | 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. | 進階 |
| Minimum/Maximum Bounding | The bulb value is ≤ 9 − (N − 1). The tip value is ≥ N. Apply these bounds immediately to prune all thermometer candidates. | 進階 |
| Overlapping Thermometer Deduction | Two thermometers sharing a cell give tighter combined bounds than either alone. | 進階 |
| 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. | 進階 |
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
常見問題
什麼是 Thermo Sudoku？
Thermo Sudoku is a variant where thermometer shapes are drawn on the grid. Each thermometer has a bulb (rounded end) and extends through several cells toward a tip. The digits must strictly increase from the bulb to the tip — so every cell along a thermometer must hold a larger digit than the one before it.
如何閱讀thermometer clues？
The bulb is the starting point and must hold the smallest digit on that thermometer. Each subsequent cell must be strictly larger. For example, a 3-cell thermometer starting at the bulb means the bulb holds at most 7 (since two larger digits must follow). A 5-cell thermometer means the bulb holds at most 5.
Can digits repeat on a thermometer?
No. Because digits must strictly increase, no digit can appear twice on the same thermometer. A 4-cell thermometer uses four different increasing digits. Combined with standard Sudoku uniqueness rules, thermometers create very tight constraints on every cell they pass through.
Is Thermo Sudoku hard to learn?
The core rule is simple — digits increase from bulb to tip. Beginners can start solving after understanding just that one constraint. What makes higher difficulties challenging is tracking minimum and maximum values for each thermometer cell simultaneously across many overlapping thermometers.
What is the best first move in Thermo Sudoku?
Look for long thermometers. A 7-cell thermometer can only start at 1 and end at 7, 8, or 9 — drastically limiting all seven cells. Also check for thermometers where the bulb or tip overlaps with a constrained row, column, or box, as this often pins the starting digit immediately.
How long does Thermo Sudoku take to solve?
Easy puzzles take 8–15 minutes. Medium puzzles typically run 15–30 minutes. Hard puzzles average 35–60 minutes and expert puzzles can exceed 90 minutes. The difficulty scales sharply as thermometer lengths decrease and the number of simultaneously active constraints increases.