Odd / Even Sudoku

Shaded cells must contain odd digits; circles must contain even digits

What is Odd / Even Sudoku?

Odd/Even Sudoku marks certain cells as odd (often shaded grey) or even (often circled). Odd cells must contain one of 1, 3, 5, 7, 9 and even cells must contain one of 2, 4, 6, 8. This halves the candidate set for marked cells immediately, creating powerful restrictions without providing specific digits.

At a Glance

Constraint typeCell Relationships
Typical givens20–26
Difficulty rating ★★★☆☆ 3/5
Avg. solve time — Easy6 min
Avg. solve time — Medium14 min
Avg. solve time — Hard28 min
Avg. solve time — Expert50 min

How to Solve Odd / Even Sudoku

TechniqueWhat it doesLevel
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. Beginner
Parity Counting per Box Count how many odd-marked and even-marked cells are in each box to verify the digit distribution is achievable. Intermediate
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. Intermediate
Parity X-Wing When parity restricts a digit to exactly two rows and two columns, form a parity-based X-Wing for cross-elimination. Advanced

Average Solve Times

Easy
6 min
Medium
14 min
Hard
28 min
Expert
50 min

Frequently Asked Questions

How are cells marked?
Shaded grey cells must contain an odd digit (1, 3, 5, 7, or 9). Circled cells must contain an even digit (2, 4, 6, or 8).
Can an unmarked cell contain any digit?
Yes — unmarked cells have no parity restriction beyond standard Sudoku rules.
Does the digit 5 count as odd?
Yes — 5 is odd and can appear in a shaded cell.