Hats & Masks

Police Badge Nonogram (15×15)

This is the Police Badge nonogram — a 15×15 picture logic puzzle. Use the number clues beside each row and column to work out which squares are filled, and the picture appears as you go. Every square can be deduced; you never have to guess.

How this board opens

The overlap rule is stingy here: one sweep of it across every row and column yields 53 of the 225 cells, 24%, so most of this board has to be argued for rather than read off. The most generous opening is row 1, which gives up 15 cells on its own. 3 of the 30 lines are decided outright by their clues, with no room to slide. Straight line logic carries it to 163 cells and then stalls, so the last 62 need cross-referencing between a row and a column that share a cell. The finished picture fills 74 cells, and the longest unbroken run anywhere in the clues is 5.

About this category

Hats and masks make an unusually top-heavy category: most of it is full 20×20 boards, the rest sits at 15×15, and there is a single 10×10 as the only real warm-up. Proportionally that makes hats & masks the most 20×20-heavy set on the whole site — if you specifically want the big grids, there's a higher concentration of them here than anywhere else, the larger food & drink category included.

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