Nonogram · strategies
Overlap is everything.
The clues give each line's filled runs in order. Slide each run to its extremes — wherever it overlaps itself, those cells are certain.
Overlap fill
Push the run all the way left, then all the way right. Cells covered both times are filled. An 8-clue in a 10-line overlaps in six cells before you know anything else.
Edge anchoring
A filled cell touching the line’s edge pins the first run to it: fill the run’s full length from the edge, then cross the next cell — runs need a gap between them.
Run splitting with crosses
Crosses cut a line into segments. A run that doesn’t fit in a segment skips it entirely; a segment shorter than every remaining run is all crosses.
Completed-line sweep
When a line’s runs are all placed, cross everything else. Those crosses feed the perpendicular lines — a solved row often finishes two or three columns.
Order of attack
Biggest clues first (most overlap), then edges, then re-scan lines whose segments changed. Our puzzles are line-solvable — pure row/column logic reaches the picture, no bifurcation needed.