Nonogram techniques

These five techniques solve every puzzle on PuzzleMint. Each one looks at a single row or column, which is why you never need to guess.

1. The overlap

Push a run as far left as it can go, then as far right. Any squares it covers both times must be filled.

A 7 in a 10-wide row: pushed left it covers squares 1 to 7, pushed right 4 to 10. Squares 4 to 7 are filled for sure.

Rule of thumb: a run longer than half the line always gives you something.

2. Add it up

Add the runs and one gap between each. If the total equals the width, the line is fixed. If it's one short, every run longer than 1 gets an overlap.

3. Edges

A filled square touching the edge must belong to the first run. So if the first clue is 3 and the square at the edge is filled, the next two are filled too and the one after is empty.

The first square is filled, so the 3 starts there. Fill two more, then cross.

4. Finished lines

When a line's runs are all in place, its clue turns grey in the game. Cross out every other square in it. Those crosses often unlock the columns.

5. Reach

A square that no run could ever reach is empty. With clue 2 near a filled square in the middle of a row, squares far from it can't be part of the run.

One square is filled and the clue is 2, so the run covers it and one neighbour. Everything further away is crossed.
Try a 10×10Big 15×15

Questions

What is the most important Nonogram technique?

The overlap. In almost every puzzle the first squares you can fill come from long runs overlapping.

Do Nonograms ever need guessing?

Badly made ones do. Every puzzle here is checked to be solvable one line at a time.

Why do my crosses matter?

They tell the crossing line where its runs can't go, which is often the only way to move on.

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