如何玩线间数独

Line 上的 Digits 必须严格介于两个 endpoint values 之间

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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。

Between Lines Sudoku 绘制带有圆形端点的线条。线条上的每个数字(不包括端点本身)必须严格大于较小的端点且严格小于较大的端点。如果端点是2和8,线条上的每个中间单元格必须是3、4、5、6或7之一。端点的值越接近,中间单元格受到的约束越大。

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 线间数独 变体概述.

一览

20–28
典型给定数
线条约束
约束类型
~8m
简单 解题时间
~18m
中等 解题时间

如何解线间数独

初级
Endpoint Gap Analysis
The gap between endpoint values must be large enough to accommodate all middle cells. If endpoints are 2 and 8, middle cells must come from {3,4,5,6,7}.
初级
Endpoint Ordering
The endpoint values have no fixed order — the constraint is that all middle cells are strictly between the minimum and maximum endpoint.
中级
Tight Endpoint Constraint
If endpoints would be consecutive (e.g., 3 and 4), no middle cell could satisfy the strict inequalities — use this to force endpoints apart.
高级
Between-Line–Box Interaction
All middle cells sharing a box must satisfy the between constraint. Use the box to eliminate candidates outside the valid range.
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常见问题

什么是线间数独? ▾

Between Lines Sudoku is a variant where lines with circular endpoints are drawn on the grid. Every digit along a line (excluding the endpoint circles) must be strictly between the two endpoint values. The endpoints themselves are placed during solving — only the line positions are given.

How do I read the between-line clues? ▾

The two circles at the ends of each line are the boundary values. Every cell between them must be strictly greater than the smaller endpoint and strictly less than the larger one. You deduce which endpoint is larger as part of the solve.

Can the endpoints be any digits? ▾

Yes. Endpoint circles are not pre-filled — you place digits in them during solving. The only rule is that every cell along the line (excluding endpoints) must sit strictly between whatever ends up in the two circles.

What is the best strategy for Between Lines Sudoku? ▾

Look for short between-lines — a single cell between two endpoints is tightly constrained. Combined with row, column, and box rules, the valid range for that cell is often very small. Also look for lines where available candidates in a given row or column form a narrow range.

Is Between Lines Sudoku hard to learn? ▾

The concept is straightforward but the deductions require careful range analysis. Tracking the minimum and maximum possible values for each endpoint and inferring the valid range for in-between cells is the core skill. Easy puzzles make this very accessible.

How long does Between Lines Sudoku take to solve? ▾

Easy puzzles take 8–18 minutes. Medium puzzles run 18–35 minutes. Hard puzzles average 35–65 minutes and expert puzzles can take over 90 minutes. Solve time scales with the number of overlapping lines and the complexity of range interactions.

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