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Sudoku Variant Generator

This is the sudoku a solver reaches for once the plain one has stopped surprising them: the same grid, with one or more further rules laid over it. The usual rows, columns and boxes always apply — these are sudoku with more rules, never sudoku with different ones — and every extra rule is a setting rather than a page of its own. That means you can do the thing a book of variants cannot offer, which is switch two of them on together and find out what happens. What happens is checked rather than assumed: the finished grid is solved again under whatever rules are on, and a puzzle that turns out to have two answers is never handed over.

What this generator does

Lays one or more extra rules over an ordinary sudoku grid, fills a grid that satisfies all of them, then removes clues only for as long as the puzzle still has exactly one answer under those same rules.

How to use this tool

  1. Choose the grid size and how hard you want it.
  2. Tick the extra rules. One is plenty to start with; two makes a very different puzzle.
  3. Make the puzzle. A grid with several rules on it can take a few seconds to settle.
  4. Show the answer, or print the puzzle with the answer on a second sheet.
  5. Give a seed if you want the same puzzle again.

Understanding the controls

Grid size
Four, six or nine. Not every rule fits every size, and the ones that do not are simply not offered rather than offered and then refused.
How hard
Sets how few clues to aim for. Fewer than a plain sudoku of the same name, because the extra rules do some of the work a clue would otherwise have to do.
The extra rules
Tick as many as you like. Two at once is a genuinely different puzzle, and the answer is re-proved unique under whatever combination is on.
Seed
A word gives back exactly the same grid and the same clues, which is what you want when a room needs the same puzzle.

Common use cases

  • A solver who has run out of interest in the plain grid
  • A puzzle page where the rules have to be printed alongside
  • Testing whether two rules can be satisfied at once
  • A club or classroom set where everyone gets the same grid
  • Practice at a specific technique that a rule forces

Randomness and fairness

The filled grid and the order clues are removed in are decided using the browser's secure generator. Typing a seed switches to a repeatable sequence so the same puzzle can be printed twice; that path exists for reproducibility and is not cryptographically strong.

For how randomness is produced across the whole site, see how Generate Random works.

Limitations and good to know

  • Two of the rules cannot be met at the same time on a nine grid, and one of them has no grid at all on a four. Those come back and say so rather than producing a puzzle that does not work.
  • A grid with several rules on it takes a few seconds to settle, and a combination with no answer at all takes a few seconds to be sure of. That is the cost of proving the answer rather than assuming it.
  • The clue counts are targets, not promises. Carving stops the moment the next clue removed would give the grid a second answer, so a puzzle sometimes keeps more clues than the setting asked for.
  • Difficulty here is the clue count and the rules, not a measurement of which solving techniques are needed. The plain sudoku page grades by technique; this one does not claim to.