大於 / 小於數獨
9
7
5
8
6
2
1
8
2
7
6
4
9
8
5
9
4
1
7
2
6
2
9
2
1
5
8
6
1
3
3
8
7
6
5
9
7
4
單元格之間的不等式符號約束哪個更大
什麼是 大於 / 小於？
大於 Sudoku（也稱為 Futoshiki 風格 Sudoku）在相鄰格子之間放置 < 和 > 不等式符號。符號指示兩個格子中哪個必須持有較大的數值。有些變體用不等式符號取代所有給定數字；其他則提供混合。約束創建推理鏈：如果 A > B > C > D，則 A ≥ 4，B ≥ 3，C ≥ 2，D ≥ 1。
一覽
| 約束類型 | 儲存格關係 |
| 典型給定數 | 18–24 |
| 難度評分 | ★★★☆☆ 3/5 |
| 平均解題時間 — 簡單 | 7分鐘 |
| 平均解題時間 — 中等 | 16分鐘 |
| 平均解題時間 — 困難 | 32分鐘 |
| 平均解題時間 — 專家 | 58分鐘 |
如何解 大於 / 小於
| 技巧 | 它的作用 | 等級 |
|---|---|---|
| Chain Inequality — Minimums | Link inequalities in a chain: if A > B > C, then A ≥ 3, B ≥ 2, C ≥ 1. Use these minimums to prune candidates immediately. | 進階 |
| Chain Inequality — Maximums | In the chain A > B > C > D, also bound from above: A ≤ 9, B ≤ 8, C ≤ 7, D ≤ 6. | 進階 |
| Inequality Propagation | After placing a digit, check all inequality arrows from that cell and eliminate impossible values from its neighbours. | 進階 |
| Forced Single via Range | When an inequality chain reduces a cell's valid range to a single digit, place it directly. | 進階 |
平均解題時間
簡單
7分鐘
中等
16分鐘
困難
32分鐘
專家
58分鐘
常見問題
什麼是 Greater Than Sudoku？
Greater Than Sudoku is a variant where inequality signs (< and >) appear between adjacent cells. Each sign shows which of the two neighbouring cells must hold a larger digit. Standard Sudoku rules apply — every row, column, and box contains 1–9 exactly once.
How do I use the inequality clues?
Each inequality sign tells you the relative order of two neighbouring digits. If you see A > B, then A must be greater than B. You can chain inequalities — if A > B > C, then A is at least 3 and C is at most 7. Propagating minimum and maximum values through chains of inequalities is the core solving technique.
What is the most useful first move?
Find cells that sit at the end of a long chain of inequalities pointing toward them — these cells must hold either the minimum or maximum value in the chain. A cell where five arrows all point away from it must hold the largest digit in all five relationships; combined with Sudoku constraints this often pins the digit immediately.
Is Greater Than Sudoku harder than regular Sudoku?
It depends on difficulty level. Easy Greater Than puzzles are comparable to medium classic Sudoku. Hard and expert puzzles require systematic bound propagation across many overlapping inequality chains, which is substantially harder than any classic Sudoku difficulty.
Can I solve Greater Than Sudoku without arithmetic?
Mostly yes — the inequalities involve relative ordering, not sums or products. The key skill is tracking minimum and maximum possible values for each cell as constraints propagate. Some players find this more intuitive than cage arithmetic in variants like Killer or Arrow Sudoku.
How long does Greater Than Sudoku take to solve?
Easy puzzles take 8–18 minutes. Medium puzzles run 18–35 minutes. Hard puzzles average 35–65 minutes and expert puzzles can take over 90 minutes. Longer inequality chains dramatically increase solve time at hard and expert levels.