小杀手数独
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8
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9
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8
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1
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8
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7
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9
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9
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9
对角线提示
↘
从 (1,1):
42
（9 个单元格）
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从 (1,2):
34
（8 个单元格）
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从 (1,3):
27
（7 个单元格）
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从 (1,4):
29
（6 个单元格）
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从 (1,5):
25
（5 个单元格）
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从 (1,6):
16
（4 个单元格）
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从 (1,7):
20
（3 个单元格）
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从 (1,8):
9
（2 个单元格）
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从 (2,1):
58
（8 个单元格）
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从 (3,1):
37
（7 个单元格）
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从 (4,1):
27
（6 个单元格）
↘
从 (5,1):
18
（5 个单元格）
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从 (6,1):
20
（4 个单元格）
↘
从 (7,1):
15
（3 个单元格）
↘
从 (8,1):
17
（2 个单元格）
↙
从 (1,2):
15
（2 个单元格）
↙
从 (1,3):
11
（3 个单元格）
↙
从 (1,4):
21
（4 个单元格）
↙
从 (1,5):
13
（5 个单元格）
↙
从 (1,6):
37
（6 个单元格）
↙
从 (1,7):
50
（7 个单元格）
↙
从 (1,8):
42
（8 个单元格）
↙
从 (1,9):
35
（9 个单元格）
↙
从 (2,9):
41
（8 个单元格）
↙
从 (3,9):
36
（7 个单元格）
↙
从 (4,9):
30
（6 个单元格）
↙
从 (5,9):
28
（5 个单元格）
↙
从 (6,9):
16
（4 个单元格）
↙
从 (7,9):
15
（3 个单元格）
↙
从 (8,9):
8
（2 个单元格）
网格外部的线索给出对角线的和
什么是小杀手数独？
Little Killer Sudoku将clues放置在grid外部，并带有一个diagonal arrow。arrow指向一个diagonal stripe of cells，clue给出沿该diagonal的所有digits的sum。与standard Killer Sudoku cages不同，digits可以在Little Killer diagonals上重复，只要它们不违反row/column/box rules。这使得arithmetic与standard cage solving不同。
一览
| 约束类型 | 外部线索 |
| 典型给定数 | 0–6 given digits |
| 难度评级 | ★★★★☆ 4/5 |
| 平均解题时间 — 简单 | 14 分钟 |
| 平均解题时间 — 中等 | 28 分钟 |
| 平均解题时间 — 困难 | 55 分钟 |
| 平均解题时间 — 专家 | 88 分钟 |
如何解小杀手数独
| 技巧 | 它的作用 | 级别 |
|---|---|---|
| Diagonal Enumeration | For each clue, enumerate all combinations of N digits (allowing repeats, 1–9) that sum to the clue value. | 高级 |
| Repeating Digits Allowed | Unlike Killer cages, Little Killer diagonals can repeat digits as long as standard row/column/box uniqueness is preserved. | 高级 |
| Short Diagonal Logic | A 1-cell diagonal directly gives that cell's digit. A 2-cell diagonal with clue C has limited pairs — enumerate them immediately. | 高级 |
| Cross-Diagonal Intersection | When two diagonals share a cell, the shared cell must satisfy both sum constraints simultaneously. | 高级 |
| Row/Column Interaction | A diagonal cell belongs to a row, column, and box — combine Little Killer sum constraints with standard uniqueness rules. | 高级 |
平均解题时间
简单
14 分钟
中等
28 分钟
困难
55 分钟
专家
88 分钟
常见问题
什么是小杀手数独？
Little Killer Sudoku is a variant where numbers appear outside the grid next to diagonal arrows. Each clue gives the sum of all cells along the diagonal that arrow points into. Unlike Killer Sudoku cages, digits may repeat along a Little Killer diagonal — the only uniqueness constraints are the standard row, column, and box rules.
How is Little Killer different from Killer Sudoku?
In Killer Sudoku, cage digits cannot repeat. In Little Killer Sudoku, diagonal digits can repeat freely — only standard Sudoku uniqueness rules apply. This changes the solving logic significantly: you cannot directly eliminate combinations based on uniqueness within a diagonal.
Can digits repeat along a Little Killer diagonal?
Yes. Digits may repeat along a Little Killer diagonal as long as they are in different rows, columns, and boxes — which standard Sudoku rules enforce. For example, a 3-cell diagonal summing to 6 could be {1,1,4}, {1,2,3}, {2,2,2}, {3,2,1}, etc.
How do I start solving Little Killer Sudoku?
Start with the shortest diagonals. A 1-cell diagonal tells you the digit directly. A 2-cell diagonal with a very small or very large sum severely limits possible combinations. Then look for diagonals that intersect — where the same cell must satisfy two diagonal sum constraints simultaneously.
Is Little Killer Sudoku hard to learn?
The core rule is straightforward. The challenge comes from the arithmetic of diagonal enumeration combined with the fact that digits can repeat. Beginners benefit from writing out all possible combinations for each diagonal before starting to eliminate. This habit makes the variant much more approachable.
How long does Little Killer Sudoku take to solve?
Easy puzzles take 10–20 minutes. Medium puzzles run 20–40 minutes. Hard puzzles average 40–75 minutes and expert puzzles often exceed 90 minutes. Cross-diagonal intersection analysis is the key skill that distinguishes fast solvers from slower ones.