Give each clue a rectangle
Divide the whole grid into rectangles. Each rectangle contains exactly one clue, and its area in cells must equal that number. A clue of six might belong to a one-by-six, two-by-three or three-by-two rectangle if the board has room.
Choose opposite corners
Select two opposite corners to draw a rectangle. Use taps or clicks, or move with arrows and choose with Enter or Space. Escape cancels the first corner. Delete or Erase rectangle removes the selected region before you redraw it; Z undoes the last change.
Cover without overlap
Every cell must belong to one rectangle, with no overlaps and no extra clue inside a region. The two easier boards use five-by-five cells; the other four use six-by-six. A locally correct area can still leave an impossible gap elsewhere.