Nonograms (also known as picross, griddlers, hanjie or paint-by-numbers) are picture logic puzzles on a rectangular grid. Along the left edge of every row and the top edge of every column you will find clues: numbers that describe the runs of consecutive filled cells in that line, in order, with at least one empty cell between runs. For example, the clue [3, 1] on a row means somewhere in that row there is a run of exactly three filled cells, then one or more empty cells, then a single filled cell.
The goal is to work out which cells are filled and which are empty. When you have finished, the filled cells form a picture, often a small icon, animal or object. Solving is a pure deduction process: each clue narrows what is possible in its line, and every cell you settle narrows the crossing clues, until the whole grid is forced. A well-formed nonogram never requires guessing.
Step-by-Step: Solving a Nonogram
- Read the clues for a row. The numbers give the lengths of consecutive filled runs in that row, from left to right.
- Find forced cells. If the clues plus mandatory gaps are almost as long as the row, some cells are filled no matter how the blocks are arranged. Fill them.
- Mark proven empties with an X. Cells that cannot belong to any block arrangement should be crossed out so you stop considering them.
- Move to the columns crossing the cells you just changed and repeat the same deductions top-to-bottom.
- Keep alternating between rows and columns. Each settled cell tightens the perpendicular clues until the entire picture is revealed.
Nonogram Tips & Techniques
- Start with the largest clues. A row of 10 cells with the clue [7] always has at least 4 cells you can fill immediately, wherever the block ends up.
- Count the slack. For a clue list, add up the blocks plus one gap per extra block; the difference from the row length tells you how far any block can slide.
- Cross out what you prove is empty. Marking X on cells that cannot be filled is just as valuable as filling cells: it shrinks the search space for the crossing clues.
- Work the intersections. After every deduction in a row, re-read the column clues that cross the cells you just changed; nonograms are solved by ping-ponging between rows and columns.
- Watch the struck-through clues. A clue line that is fully satisfied should be marked empty for the rest of the solve, so you stop re-checking it.
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