小殺手數獨
2
3
8
4
6
9
2
9
3
8
4
7
3
1
4
8
1
7
3
2
2
9
5
1
8
7
3
9
2
4
3
4
2
6
7
5
5
9
對角線提示
↘
來自 (1,1):
42
(9 格)
↘
來自 (1,2):
34
(8 格)
↘
來自 (1,3):
27
(7 格)
↘
來自 (1,4):
29
(6 格)
↘
來自 (1,5):
25
(5 格)
↘
來自 (1,6):
16
(4 格)
↘
來自 (1,7):
20
(3 格)
↘
來自 (1,8):
9
(2 格)
↘
來自 (2,1):
58
(8 格)
↘
來自 (3,1):
37
(7 格)
↘
來自 (4,1):
27
(6 格)
↘
來自 (5,1):
18
(5 格)
↘
來自 (6,1):
20
(4 格)
↘
來自 (7,1):
15
(3 格)
↘
來自 (8,1):
17
(2 格)
↙
來自 (1,2):
15
(2 格)
↙
來自 (1,3):
11
(3 格)
↙
來自 (1,4):
21
(4 格)
↙
來自 (1,5):
13
(5 格)
↙
來自 (1,6):
37
(6 格)
↙
來自 (1,7):
50
(7 格)
↙
來自 (1,8):
42
(8 格)
↙
來自 (1,9):
35
(9 格)
↙
來自 (2,9):
41
(8 格)
↙
來自 (3,9):
36
(7 格)
↙
來自 (4,9):
30
(6 格)
↙
來自 (5,9):
28
(5 格)
↙
來自 (6,9):
16
(4 格)
↙
來自 (7,9):
15
(3 格)
↙
來自 (8,9):
8
(2 格)
網格外的提示給出一條對角線的和。
什麼是 小殺手數獨?
小殺手數獨將線索放置在網格外部,並帶有對角線箭頭。箭頭指向一個對角線條帶的單元格,線索給出沿該對角線的所有數字的總和。與標準殺手數獨籠不同,數字可以在小殺手對角線上重複,只要它們不違反行/列/宮規則。這使得算術與標準籠解題不同。
一覽
| 約束類型 | 外部線索 |
| 典型給定數 | 0–6 given digits |
| 難度評分 | ★★★★☆ 4/5 |
| 平均解題時間 — 簡單 | 14分鐘 |
| 平均解題時間 — 中等 | 28分鐘 |
| 平均解題時間 — 困難 | 55分鐘 |
| 平均解題時間 — 專家 | 88分鐘 |
如何解 小殺手數獨
| 技巧 | 它的作用 | 等級 |
|---|---|---|
| Diagonal Enumeration | For each clue, enumerate all combinations of N digits (allowing repeats, 1–9) that sum to the clue value. | 進階 |
| Repeating Digits Allowed | Unlike Killer cages, Little Killer diagonals can repeat digits as long as standard row/column/box uniqueness is preserved. | 進階 |
| 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. | 進階 |
| Cross-Diagonal Intersection | When two diagonals share a cell, the shared cell must satisfy both sum constraints simultaneously. | 進階 |
| Row/Column Interaction | A diagonal cell belongs to a row, column, and box — combine Little Killer sum constraints with standard uniqueness rules. | 進階 |
平均解題時間
簡單
14分鐘
中等
28分鐘
困難
55分鐘
專家
88分鐘
常見問題
什麼是 Little Killer Sudoku?
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.