困难 三明治数独
网格外部的提示数给出每行和每列中夹在1和9之间的数字之和。
困难 三明治数独。更少的极端和线索——交叉引用行和列的三明治约束来定位1和9至关重要。
32
6
4
8
21
3
15
22
23
32
28
0
26
13
7
25
0
27
6
1
4
8
5
9
7
7
8
8
2
4
1
9
6
5
4
2
9
8
3
1
4
2
4
3
8
什么是三明治数独？
难度
★★★★☆
4/5
约束类型
外部线索
典型给定数
4–10 clue values
平均解题 (困难)
52 分钟
困难 级别的解题技巧
| 技巧 | 描述 | 级别 |
|---|---|---|
| Clue 0 Means Adjacent 1 and 9 | A sandwich clue of 0 means 1 and 9 are side-by-side with nothing between them. Place this pair immediately. | 初级 |
| Clue 35 Means 1 and 9 at Ends | A clue of 35 = 2+3+4+5+6+7+8. All middle digits are sandwiched, placing 1 and 9 at the two ends of the row/column. | 初级 |
| Position Enumeration | For each clue, enumerate all valid positions of 1 and 9 such that the enclosed digits sum to the clue. Cross-reference with column clues. | 中级 |
| Sandwich Intersection | Row and column clues intersect at one cell. Combining row positions of 1 and 9 with column positions pinpoints key placements. | 高级 |
| Digit Forcing from Both Sides | Use clues from both the row and column sides to triangulate the positions of 1 and 9 simultaneously. | 中级 |
准备好终极测试了吗?试试 专家 三明治数独 — 数独 上最难的谜题。
在困难需要掌握的技巧
- Hidden Pairs technique — With almost no givens, candidates stay wide except where sum arithmetic bites — recount cells adjacent to resolved crusts, where hard sandwich grids hide their pairs.
- X翼技巧 — The whole variant revolves around locating 1 and 9, so fish on exactly those digits: an X-Wing on 9 collapses crust possibilities in two rows and two columns at once.
按难度划分的平均解题时间
简单
12 分钟
中等
26 分钟
困难
52 分钟
专家
85 分钟
想要规则、策略和解题步骤的完整指南吗？
如何玩三明治数独 →
相关变体
杀手数独
Both are sum-deduction puzzles at heart — killer's 45 rule and sandwich's crust sums exercise the same arithmetic.
摩天楼数独
Outside clues again, but read as building visibility instead of sums — the same edge-of-grid deduction style.
外部数独
The gentlest outside-clue cousin: border digits simply belong in the nearest three cells, no arithmetic required.
常见问题 — 困难 三明治数独
更多问题？请参阅完整 三明治数独指南.