不規則對角線數獨
9
4
6
5
6
2
6
8
2
9
1
4
7
4
8
5
4
2
9
6
1
1
3
8
3
5
2
8
1
7
1
8
3
7
6
9
1
3
結合拼圖區域與主對角線約束
什麼是 不規則對角線數獨？
不規則對角線數獨結合了兩種變體類型：拼圖數獨的不規則拼圖區域和對角線數獨的對角線約束。兩條主對角線和所有不規則區域都必須包含1–9。這種組合創造了高度約束的謎題，具有獨特的解題邏輯。
一覽
| 約束類型 | Combined: Irregular + Diagonal |
| 典型給定數 | 22–30 |
| 難度評分 | ★★★★☆ 4/5 |
| 平均解題時間 — 簡單 | 8分鐘 |
| 平均解題時間 — 中等 | 18分鐘 |
| 平均解題時間 — 困難 | 35分鐘 |
| 平均解題時間 — 專家 | 65分鐘 |
如何解 不規則對角線數獨
| 技巧 | 它的作用 | 等級 |
|---|---|---|
| Map All 29 Units First | You have 9 rows + 9 columns + 9 irregular regions + 2 diagonals = 29 constraint units. Identify all irregular regions and both diagonals before starting. | 進階 |
| Diagonal–Region Intersection | Cells on a diagonal that also sit in the same irregular region create a powerful two-unit intersection — use both constraints simultaneously. | 進階 |
| Diagonal Pointing Pairs | If a digit on a diagonal is confined to one irregular region, eliminate it from all other cells of that region. | 進階 |
| Region Coloring for Diagonals | Trace which irregular regions each diagonal passes through. Regions with many diagonal cells are the most constrained. | 進階 |
| Chain Deduction Across Units | With 29 units, a forced digit in one unit often cascades through 3–4 other units. Track chains carefully to avoid errors. | 進階 |
平均解題時間
簡單
8分鐘
中等
18分鐘
困難
35分鐘
專家
65分鐘
常見問題
什麼是 Irregular Diagonal Sudoku？
Irregular Diagonal Sudoku combines two variants: irregular jigsaw-shaped regions replace the standard 3×3 boxes, and both main diagonals of the 9×9 grid must each contain 1–9 exactly once. Cells on a diagonal therefore belong to four groups: row, column, jigsaw region, and diagonal. It is one of the most constraint-dense variants available.
How many constraint groups does a diagonal cell belong to?
A cell on one of the main diagonals belongs to four groups simultaneously: its row, its column, its jigsaw region, and its diagonal. The centre cell belongs to five groups — both diagonals, plus row, column, and region. This extreme constraint density makes every placement very powerful.
Is Irregular Diagonal Sudoku the hardest variant?
It is among the most constrained variants. The combination of irregular regions and diagonal constraints means almost every cell interacts with an unusually large portion of the grid. Expert puzzles in this variant are among the most demanding logic puzzles on the site.
What order should I tackle the constraints?
Start with the diagonals, since diagonal cells carry the most constraints. Find hidden singles on each diagonal first. Then scan the jigsaw regions, keeping diagonal eliminations active. Update all four constraint groups — row, column, region, diagonal — after every single placement.
Can I use standard Sudoku techniques?
Yes — all standard techniques apply. You simply treat each diagonal as an additional house alongside the nine rows, nine columns, and nine jigsaw regions. The diagonal pointing pair (where a digit in a diagonal is confined to one row or column) is a particularly powerful technique unique to diagonal variants.
How long does Irregular Diagonal 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. The combined constraint density means that even easy puzzles require tracking four constraint groups simultaneously.