Anti-King Sudoku

No two cells a king's move apart may contain the same digit

What is Anti-King Sudoku?

Anti-King Sudoku adds a chess-inspired constraint: cells that would be reachable in a single king move (orthogonally or diagonally adjacent) cannot share the same digit. This extends the non-repeat rule beyond rows, columns, and boxes to include diagonal neighbours, significantly tightening the constraint space throughout the grid.

At a Glance

Constraint typeAnti-Constraints
Typical givens22–28
Difficulty rating ★★★☆☆ 3/5
Avg. solve time — Easy5 min
Avg. solve time — Medium13 min
Avg. solve time — Hard26 min
Avg. solve time — Expert48 min

How to Solve Anti-King Sudoku

TechniqueWhat it doesLevel
Diagonal Exclusion The king constraint extends the exclusion zone to all 8 neighbours including diagonals. Apply diagonal exclusions before standard row/col/box logic. Beginner
Corner Restriction Corner cells (e.g., r1c1) only have 3 king-move neighbours. Start with corners and edges to build initial placements. Intermediate
King-Chain Elimination When a digit is placed, eliminate it simultaneously from all 8 surrounding cells. Intermediate
Parity via King's Move In Anti-King, consecutive digits often become mutually king-move incompatible — trace valid placement paths using this property. Advanced

Average Solve Times

Easy
5 min
Medium
13 min
Hard
26 min
Expert
48 min

Frequently Asked Questions

What is a king's move?
A king's move covers all 8 adjacent cells: horizontally, vertically, and diagonally. No two king-move neighbours can contain the same digit.
How does Anti-King differ from Anti-Knight?
Anti-King forbids same digits within one step in any direction; Anti-Knight forbids same digits at L-shaped knight distances.