Pakar Thermo Sudoku
Digit mesti meningkat dari hujung mentol ke hujung di sepanjang setiap termometer. Arah suhu menyekat setiap penempatan.
Pakar Thermo Sudoku. Teka-teki termometer paling sukar di laman — setiap penempatan mengikut dari pengiraan sempadan tepat dan penalaran logik.
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
Apakah Thermo Sudoku?
Kesukaran
★★★★☆
4/5
Jenis Kekangan
Kekangan Garis
Biasa Diberi
20–28
Purata Selesaikan (Pakar)
75 min
Teknik Penyelesaian untuk Tahap Pakar
| Teknik | Penerangan | Tahap |
|---|---|---|
| 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. | Pemula |
| Minimum/Maximum Bounding | The bulb value is ≤ 9 − (N − 1). The tip value is ≥ N. Apply these bounds immediately to prune all thermometer candidates. | Pemula |
| Overlapping Thermometer Deduction | Two thermometers sharing a cell give tighter combined bounds than either alone. | Pertengahan |
| 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. | Lanjutan |
| Short vs. Long Thermometers | A 2-cell thermometer is simply a greater-than relationship. A 9-cell thermometer forces exactly 1–9 in order. | Pertengahan |
Teknik untuk Dikuasai pada Pakar
- Teknik X-Wing — 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.
Purata Masa Selesaikan mengikut Kesukaran
Mudah
10 min
Sederhana
22 min
Sukar
45 min
Pakar
75 min
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Varian Berkaitan
Arrow Sudoku
Thermo and Arrow both constrain digits along drawn lines — increase swaps for summation, but the cell-by-cell bounding feels the same.
Bisikan Jerman
Another drawn-line rule: instead of strictly increasing, neighbouring line digits must differ by at least 5.
Sudoku Renban
Line cells must form a consecutive set rather than an increasing one — the same range-tracking instinct, loosened by one degree.
Soalan Lazim — Pakar Sudoku Termo
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