如何玩超数独 / 窗口数独

四个额外的阴影3×3宫必须各自包含1–9

Hyper Sudoku — Windoku, to fans of the four "window pane" regions — was popularised by the Dutch newspaper NRC Handelsblad, and it remains the thinking solver's extra-region variant. Four shaded 3×3 windows sit offset from the standard boxes, each one required to contain 1 to 9. What makes it deeper than it looks is geometry: the four windows interlock with the nine standard boxes so tightly that they secretly imply further regions — the cells between the windows inherit constraints nobody printed. Cells inside a window answer to five houses, and the grid carries thirteen box-type regions in total. It suits solvers who like density over novelty: there's no arithmetic, no lines, no symbols, just more uniqueness pressing on the same 81 cells. Easy hyper puzzles solve noticeably faster than easy classics — the windows shower you with eliminations — while hard ones demand that you track interactions between overlapping houses with real discipline. If diagonal Sudoku is the gateway variant, hyper is the second course.

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规则

标准数独规则适用: 填充每一行、每一列和每个 3×3 宫格,数字 1-9 各出现一次。

Hyper Sudoku(也称为Windoku)在标准网格中增加了四个额外的阴影3×3区域。这些区域与普通宫重叠,并且必须各自包含数字1-9各一次,就像标准宫一样。额外的约束可以显著减少候选数,并且通常使谜题比最初看起来更容易。

关于这个谜题的来源、它如何与相关变体比较以及策略摘要,请参阅我们的 超数独 / 窗口数独 变体概述.

一览

26–32
典型给定数
额外区域
约束类型
~6m
简单 解题时间
~15m
中等 解题时间

如何解超数独 / 窗口数独

初级
Region Overlap Analysis
Each Hyper region overlaps with two standard 3×3 boxes. Any digit placed in the standard box cells within a Hyper region also constrains the full Hyper region.
初级
Extended Naked Singles
With 13 regions total (9 standard boxes + 4 Hyper), naked singles appear far more often than in classic Sudoku.
中级
Pointing Pairs (Hyper)
If a digit in a Hyper region is locked to one row or column of that region, eliminate it from the rest of that row or column.
中级
Hyper–Box Interaction
A digit placed in a standard box cell that falls inside a Hyper region removes that digit from the entire Hyper region.
高级
X-Wing across Hyper
Hyper regions can serve as a fifth unit type in advanced X-Wing and Swordfish patterns.

示例:打开一个超数独 / 窗口数独谜题

Take the top-left window, covering rows 2–4 and columns 2–4. Suppose a given 7 sits at r3c3, inside both the window and standard box 1. That 7 is now barred from the entire window — including r2c4 and r3c4 (cells of box 2), r4c2 and r4c3 (cells of box 4), and r4c4 (a cell of box 5). Follow the box-2 thread: box 2 still needs a 7, its row-3 cells are ruled out by the given itself, and the window has just killed r2c4 — leaving only r1c4, r1c5, r1c6, r2c5, and r2c6. If row 1 already holds a 7 further right, box 2's 7 is squeezed into r2c5 or r2c6: a pointing pair that bans 7 from the rest of row 2, including all three box-3 cells. One given digit, and the ripple has crossed half the grid before anything new was placed. That is the standard hyper opening: take any digit inside a window, push its elimination through every box the window overlaps, and harvest the hidden singles and pointing pairs that surface two boxes away.

超数独 / 窗口数独中的常见错误

错误如何修复
Treating the windows as decoration and solving the classic grid first The windows are where the information is. Scan all four for hidden singles before anything else — a digit confined to one window cell is the most common opening move in Windoku.
Forgetting that window eliminations spill into multiple standard boxes Each window overlaps four standard boxes, so one window elimination can kill candidates in up to four boxes at once. After every window deduction, check each overlapped box for new singles.
Missing the implied regions between the windows Because the four windows plus rows and columns lock 36 cells so tightly, the leftover cells (like row 1, row 5, row 9 and their column counterparts) inherit hidden structure — advanced Windoku setters hide their key deductions there.
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常见问题

什么是超数独? ▾

Hyper Sudoku (also called Windoku or Hyper-Sudoku) adds four shaded 3×3 regions to the standard 9×9 grid. Each shaded region, like a standard box, must contain the digits 1–9 exactly once. This gives a total of 13 uniqueness groups: 9 rows, 9 columns, 9 standard boxes, and 4 hyper regions — though many cells overlap between groups.

Where are the four hyper regions? ▾

The four hyper regions are positioned symmetrically, offset from the standard boxes. They occupy the 3×3 areas starting at rows 2–4/columns 2–4, rows 2–4/columns 6–8, rows 6–8/columns 2–4, and rows 6–8/columns 6–8. Each hyper region overlaps with four standard boxes, creating a dense web of mutual constraints.

How do the hyper regions help solving? ▾

Any cell inside a hyper region carries five constraints simultaneously: its row, column, standard box, and the hyper region. This extra constraint eliminates candidates faster than standard Sudoku. After every digit placement inside a hyper region, scan all five groups for new eliminations.

Is Hyper Sudoku harder than regular Sudoku? ▾

Easy Hyper Sudoku is often easier than equivalent classic Sudoku because the extra constraints resolve the grid more quickly. Hard and expert Hyper puzzles are comparable in difficulty to their classic equivalents — the additional constraints help but also create complex multi-group interactions that require careful tracking.

What is the best first move in Hyper Sudoku? ▾

Focus on cells inside hyper regions, especially those at the intersections of a hyper region and a standard box. These carry the most constraints and are the most likely to resolve immediately. Always scan all four hyper regions after every placement.

How long does Hyper Sudoku take to solve? ▾

Easy puzzles take 5–12 minutes — often faster than classic Sudoku of equivalent difficulty. Medium puzzles run 12–25 minutes. Hard and expert puzzles take 25–60 minutes. The extra regions speed up early solving but hard puzzles compensate with fewer given digits.

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