Reading this maze
Divided courtyard starts at row 3, column 3. Of the 42 grid positions, 29 are paintable and 13 are walls. The start is already painted; the other 28 tiles remain to be reached.
Diamond A at row 5, column 2 toggles both barred cells marked A. Diamond B at row 4, column 4 toggles the gate marked B. Start down and stop at row 5, column 3. Both A gates share one state, while B stays independent; plan the closed bars as stopping points. The first slide covers 3 of 29 target tiles.
The verified opening crosses 2 tiles before stopping. A breadth-first search proves a 28-slide finish from this exact starting board; that is a reference target, not a move limit. You may revisit any painted tile.
A and B keep separate states. The A diamond toggles both A gates together, while the B diamond toggles only B. Every barred cell must be painted. Undo restores all gate states, and Hint searches your current trail.