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Step 3 of 5
No Room
Before a crown goes anywhere, check who it would leave stranded.
In one line: A crown on a cell would wipe out every open cell of some area, so that cell is out.
Pick an open cell and imagine a crown on it. It would rule out its row, its column, its region and the eight cells around it. If that wipes out every open cell of some other row, column or region, that area would have nowhere left for its crown. So the cell can’t hold a crown: ✕ it.
This is a thought experiment, not a guess. You never put the crown down. You prove it can’t go there and move on.
The usual case is a region with two or three open cells left, close together. A cell that touches all of them, or shares a row or column with all of them, would block the whole region.
Where to look: Regions down to two or three open cells. Check the cells around them, and along any row or column they all share.
Worked example
A 6×6 board, some ✕s in, no crowns yet. Each step below is the move the step-by-step solver makes from here: the easiest one available.
1. Where to look
Row 5 is down to two open cells. Now imagine a crown on row 6, column 3, and check what it would see.
2. The deduction
A crown on the marked cell would rule out every open cell of row 5, leaving it no place for its crown.
3. What it unlocks
With that ✕ in, row 6 is down to one open cell, so its crown goes on row 6, column 4. That’s a Last Cell, and the No Room step is what opened it up.
Outlined: where to look. Green crown or red ✕: what that step proves. Gray ✕: already ruled out.
Practice
Each of these boards gets stuck without No Room. Hints, ✕s and auto-mark all work as usual.
