Rectangle Districts
A map-dividing puzzle. Draw rectangles until every cell belongs to one, each rectangle holding exactly one number — and that number is the rectangle's size in cells.
Divide the map into rectangles, each holding exactly one number equal to its size.
FreeOn this device
Solved on this device: 0 of 12. Each board has exactly one answer, checked by a solver.
Controls
- Drag from one corner of a rectangle to the opposite corner; the preview says its width, height and how many numbers it encloses. Press Confirm district to draw it.
- With the keyboard, move with the arrow keys and press Enter on the first corner, then Enter on the opposite corner. Escape cancels.
- Delete (or Remove district) removes the district under the focused cell. Undo, Reset, Hint and Apply hint are always available.
The rules
- Every cell belongs to exactly one rectangle; rectangles cannot overlap.
- Each rectangle contains exactly one number.
- That number equals the rectangle's area — a 6 could be 1 × 6, 2 × 3, 3 × 2 or 6 × 1.
Scoring, saving and limits
Solved means full coverage and every rectangle obeying its own rule — matching total area is not enough. A hint that reveals a district marks the run as assisted.
Your districts, undo history and solved boards are kept on this device only. Download a backup to move them.
Twelve boards (six 5×5, six 7×7), each checked by a solver to have exactly one answer. Overlapping rectangles are refused before anything changes.
Questions
- Where should I start?
- With numbers that have only one way to fit — a large number in a corner, or a number boxed in by other numbers.
- Do the drag corners have to be top-left and bottom-right?
- No. Any two opposite corners work, in either order.
- Is there only one answer?
- Yes. Every board is checked by a solver that tries every rectangle each number could make.