Play Renzoku Online — Free
Fill the grid with digits 1–N. Dots between adjacent cells indicate those two values are consecutive.
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About Renzoku
Renzoku is a Latin square puzzle with a twist: between some adjacent cells, marks indicate that the two cells must contain consecutive integers (values differing by exactly 1). The absence of a mark between two adjacent cells means those values are explicitly NOT consecutive. Combined with the Latin square rule (each digit once per row and column), this creates a rich constraint system.
The “absent mark means non-consecutive” rule is unusual — most puzzle constraints are positive (“this must happen”) rather than negative (“this cannot happen”). Renzoku’s negative constraints are often just as powerful as the positive ones, forcing specific digit placements when a cell’s non-consecutive neighbors sharply limit its options.
Renzoku is a compact, elegant puzzle that rewards solvers who master the interaction between consecutive-chain logic and Latin square elimination. It’s a refreshing alternative to Futoshiki for fans of inequality-based number puzzles, with a different feel despite similar ingredients.
Trace consecutive chains first: three cells each connected by consecutive marks form a run like {3, 4, 5}. Determine the lowest possible starting digit for such a chain using the grid size, and you often pin down the entire sequence immediately.
Frequently asked questions
What is Renzoku?
Renzoku is a Sudoku variant where dots between adjacent cells signal that those two numbers are consecutive (differ by 1). Cells without a dot between them are NOT consecutive.