如何玩奇数 / 偶数数独

阴影单元格必须包含奇数数字;圆圈必须包含偶数数字

免费玩奇数 / 偶数数独 → 奇数 / 偶数数独 谜题

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。

奇数/偶数数独将某些单元格标记为奇数(通常灰色阴影)或偶数(通常圆圈)。奇数单元格必须包含1、3、5、7、9中的一个,偶数单元格必须包含2、4、6、8中的一个。这立即将标记单元格的候选集减半,创造了强大的限制而不提供具体的数字。

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 奇数 / 偶数数独 变体概述.

一览

20–26
典型给定数
单元格关系
约束类型
~6m
简单 解题时间
~14m
中等 解题时间

如何解奇数 / 偶数数独

初级
Immediate Candidate Halving
Marked cells instantly reduce to 5 odd candidates (1,3,5,7,9) or 4 even candidates (2,4,6,8). Apply this before any other technique.
中级
Parity Counting per Box
Count how many odd-marked and even-marked cells are in each box to verify the digit distribution is achievable.
中级
Parity-Chain Elimination
If a row must contain exactly four even digits, and three positions are already even-marked, the fourth must come from the remaining unmarked cells.
高级
Parity X-Wing
When parity restricts a digit to exactly two rows and two columns, form a parity-based X-Wing for cross-elimination.
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常见问题

什么是奇偶数独? ▾

Odd/Even Sudoku is a variant where some cells are shaded to indicate whether they must hold an odd or even digit. Purple-ringed cells must hold odd digits (1, 3, 5, 7, or 9). Yellow-shaded cells must hold even digits (2, 4, 6, or 8). Standard Sudoku rules apply to all cells.

What is parity in Sudoku? ▾

Parity refers to whether a number is odd or even. In Odd/Even Sudoku, you can immediately halve the candidate list for any shaded cell. An odd cell can only hold 1, 3, 5, 7, or 9. An even cell can only hold 2, 4, 6, or 8. Combined with row, column, and box constraints, parity constraints make early placements much faster.

How do parity markings help solving? ▾

Shaded cells eliminate half the digit range immediately. If a row already contains three odd digits and has an odd-marked cell remaining, that cell is heavily constrained. Counting odd vs even cells in each row, column, and box often reveals hidden singles that would be invisible without the parity markings.

Is Odd/Even Sudoku harder than regular Sudoku? ▾

At easy and medium difficulty, it is comparable to or easier than classic Sudoku because parity markings provide immediate candidate reductions. Hard and expert Odd/Even puzzles use sparser markings and fewer given digits, making them comparable in difficulty to hard classic Sudoku.

What is the best first move in Odd/Even Sudoku? ▾

Scan each row, column, and box and count how many odd and even slots remain versus how many odd and even digits are still unplaced. When only one cell in a row can hold an odd digit, that cell must contain an odd digit from the remaining candidates — this is a parity-based hidden single.

How long does Odd/Even Sudoku take to solve? ▾

Easy puzzles take 5–15 minutes. Medium puzzles run 15–30 minutes. Hard puzzles average 30–60 minutes and expert puzzles can take 60–90 minutes. Parity-based hidden singles are the primary acceleration technique that distinguishes fast solvers.

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