大于 / 小于数独
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
单元格之间的不等号约束哪个更大
什么是大于 / 小于？
大于数独（也称为Futoshiki式数独）在相邻单元格之间放置<和>不等号。符号指示两个单元格中哪个必须持有较大的值。一些变体用不等号替换所有给定数字；其他变体提供混合。约束创建推理链：如果A > B > C > D，那么A ≥ 4，B ≥ 3，C ≥ 2，D ≥ 1。
一览
| 约束类型 | 单元格关系 |
| 典型给定数 | 18–24 |
| 难度评级 | ★★★☆☆ 3/5 |
| 平均解题时间 — 简单 | 7 分钟 |
| 平均解题时间 — 中等 | 16 分钟 |
| 平均解题时间 — 困难 | 32 分钟 |
| 平均解题时间 — 专家 | 58 分钟 |
如何解大于 / 小于
| 技巧 | 它的作用 | 级别 |
|---|---|---|
| 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. | 高级 |
| Chain Inequality — Maximums | In the chain A > B > C > D, also bound from above: A ≤ 9, B ≤ 8, C ≤ 7, D ≤ 6. | 高级 |
| Inequality Propagation | After placing a digit, check all inequality arrows from that cell and eliminate impossible values from its neighbours. | 高级 |
| Forced Single via Range | When an inequality chain reduces a cell's valid range to a single digit, place it directly. | 高级 |
平均解题时间
简单
7 分钟
中等
16 分钟
困难
32 分钟
专家
58 分钟
常见问题
什么是大于数独？
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.