What is a renban line?

A line whose cells hold a set of consecutive digits in any order, with no repeats.

Can a renban line repeat digits?

No. The set is consecutive and distinct, like {5,6,7}.

How is renban different from a thermometer?

Both use consecutive runs, but a thermometer is strictly ordered low-to-high while a renban can be in any order.

Renban Sudoku: Rules & How to Solve

Each purple line is a set of consecutive numbers in any order. Flexible, fast, and great for chaining.

The rule

Digits on a renban line form a set of consecutive numbers in any order, with no repeats. A three-cell renban could be 4-6-5 or 7-5-6, but always a run.

How to solve renban sudoku

Length fixes the spread

A four-cell renban spans exactly four consecutive values, so it can't contain both a 1 and a 9 — the extremes are bounded.

Order is free

Unlike a thermometer, renban cells can be arranged any way, so use crossing constraints to pin the order.

Intersect with boxes

Renban lines that stay inside one box can't repeat anyway; the value comes from which consecutive run fits the remaining candidates.

Frequently asked questions

What is a renban line?: A line whose cells hold a set of consecutive digits in any order, with no repeats.
Can a renban line repeat digits?: No. The set is consecutive and distinct, like {5,6,7}.
How is renban different from a thermometer?: Both use consecutive runs, but a thermometer is strictly ordered low-to-high while a renban can be in any order.

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