Decide every square: it either holds a purple square or is clear. Each number indicates how many purple squares are in the 3×3 square surrounding the number – including the clue square itself.
On a touch screen, a tap does what a click does, and a long press what a right-click does (more ways to right-click).
Click a square to turn it purple, then clear, then empty again. Right-click it to turn it clear, then purple, then empty again. Keep the button down and drag to do the same to every square you pass over that looked the same as the first.
With the keyboard, the arrow keys move a cursor around the board. Enter does what a click does to the square under it, and Space what a right-click does.
The drag works for clearing too: start on a shaded square and the shaded squares you pass over are cleared with it. A whole drag is one step of Undo.
A square you have made clear turns yellow, which tells it from a square you have not decided yet. It carries a faint cross too, unless it has a number, which then has the square to itself. A number is drawn on top of whatever its square holds, and fades once its 3×3 square is fully decided and agrees with it.
Hint explains the next step rather than simply making it. It reasons only from the numbers and the squares you have already made purple or clear, so it carries on from wherever you are, as long as none of them is wrong; if one is, it asks you to fix the highlighted mistakes first. A number’s squares, in its words, are its block: the number’s own square and the eight around it, fewer at the edge of the grid.
Most steps come from one number alone:
Where no number settles a square alone, the hint compares two numbers whose blocks overlap. Both count the squares the blocks share, so the two differ only by the squares one of them counts and the other does not:
Where the two are the same number, the hint names each by where it sits: the upper 7 and the lower 7, or the left 7 and the right 7.
An Easy puzzle as the game deals it is finished one number at a time, and never needs a comparison. A Normal one needs comparisons, and they finish it. On an Unreasonable board there comes a point where comparing numbers settles no square either, and the hint says that nothing further follows by deduction instead of choosing for you. Save your position and try a square beside a number with few squares left. The hint carries on from whatever you mark.
These parameters are available from the ‘Custom type…’ option on the ‘Type’ menu.