How to play
Tap an edge between two dots to draw it, or switch to Mark ✗ to rule one out. Tapping again clears it. Every numbered cell must end up touching exactly that many drawn edges, and the drawn edges must form a single closed loop. Crosses are your own bookkeeping — they are not part of the answer.
Working it out
The other ten tools write down reasoning, and none of them counts toward the answer. A shade colours a cell: the loop divides the board into inside and outside, so give the two sides of a boundary you are sure of the light and dark halves of one colour. A sector mark annotates one corner of one cell — the two edges meeting there. =1 means exactly one of them is drawn, ≠1 that they match, ≠2 that at least one is ruled out, ≠0 that at least one is drawn. Pick a sector tool, then tap near a corner inside the cell you mean.