Nonogram Rules — What the Numbers Actually Say

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Each clue describes runs, in order. A row clue of 3 1 means: somewhere in this row there is a run of 3 filled cells, then — after at least one empty cell — a run of 1, in that order. Solve by intersecting what the row clues and the column clues both allow. Filled cells reveal a picture; a well-made board never needs a guess.

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The rules

RuleWhat it means
Run lengthsEach clue lists the lengths of the filled runs in its row or column, left-to-right or top-to-bottom.
GapsBetween two runs there is at least one empty cell; before the first and after the last there may be any number.
× marksMarking a cell × ('definitely empty') is bookkeeping for you — it is how the overlap logic becomes visible.

Overlap (the workhorse)

If a run is longer than half its free space, its middle cells are filled in every legal position. A 7-clue in a 10-wide row fills cells 4–7 immediately — start every board this way.

Anchor the edges

A filled cell touching the border pins its whole run: clue 4 with a filled corner cell fills four cells and ×-es the fifth.

Punctuate with ×

Completed runs get × on both ends. Those × cells shrink the free space for every crossing column clue — the cascade is where nonograms are actually solved.

Verified, not promised

Every daily board here passes a stronger check than unique-solution: line-solvability — iterating row/column constraint intersection to a fixpoint must complete the whole grid. In our published measurement, only 43% of random 20×20 boards pass that bar, which is why unverified nonograms so often force guessing. 450 daily 10×10 boards (from 2026-08-24), all verified.

FAQ

How do you read nonogram clues?

Each number is the length of a consecutive filled run in that row or column. Multiple numbers appear in order, separated by at least one empty cell. '3 1' means a run of three, a gap of one or more, then a single filled cell.

Do nonogram runs have to be in order?

Yes — the clue order matches the order of the runs in the line, reading left-to-right for rows and top-to-bottom for columns. Only the gap sizes are unknown.

What is the overlap technique in nonograms?

Slide a run to its leftmost and rightmost legal positions; any cells filled in both extremes are filled in every solution. It is the single most productive nonogram deduction and the standard way to open a board.

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